a) The fruit vendor sold 3/10 of the grapefruits on Saturday, b) The vendor had 100 grapefruits at first, and c) 40 grapefruits were sold on Friday.
a) On Saturday, the fruit vendor sold 1/2 of the remaining grapefruits. Since 2/5 of the grapefruits were sold on Friday, there are 3/5 of the original amount left. Therefore, on Saturday, the vendor sold (1/2) x (3/5) = 3/10 of the grapefruits.
b) To find the original number of grapefruits, we need to calculate the total amount remaining after Friday's sales. Since there were 60 grapefruits left after Saturday's sales and 3/5 of the original amount remained, we can set up the equation (3/5) [tex]\times[/tex]x = 60, where x represents the original number of grapefruits.
Solving for x, we have x = (60 x 5) / 3 = 100 grapefruits. Therefore, the fruit vendor had 100 grapefruits at first.
c) To find the number of grapefruits sold on Friday, we subtract the amount remaining after Friday's sales from the original number. 2/5 of the grapefruits were sold on Friday, so the number sold is (2/5) x 100 = 40 grapefruits.
In summary, a) the fruit vendor sold 3/10 of the grapefruits on Saturday, b) the vendor had 100 grapefruits at first, and c) 40 grapefruits were sold on Friday.
For more such answers on sales
https://brainly.com/question/24951536
#SPJ8
Which of the following gives the correct range for the piecewise graph?
A coordinate plane with a segment going from the point negative 3 comma 2 to 0 comma 1 and another segment going from the point 0 comma 1 to 5 comma negative 4.
The correct range for the piecewise graph is [-4, 2].
To solve this problemWe need to find the minimum and maximum values of the y-coordinates.
The first segment goes from (-3, 2) to (0, 1), so the range for this segment is from 1 to 2.
The second segment goes from (0, 1) to (5, -4), so the range for this segment is from -4 to 1.
We must take into account the minimum and maximum values from each segments in order to determine the overall range. The minimum and highest values are -4 and 2, respectively.
Therefore, the correct range for the piecewise graph is [-4, 2].
Learn more about piecewise graph here : brainly.com/question/3628123
#SPJ1
If Anita and Miguel do not take any money from their accounts, whose account will grow faster? Explain why.
Savings accounts and CDs are good options for people who want to save money without taking on a lot of risk.
If Anita and Miguel do not take any money from their accounts, Anita's account will grow faster than Miguel's.
This is because the interest rate for Anita's account is 6%, while Miguel's is 5%.
The interest rate is the percentage of the principal that a bank or other financial institution pays for the use of money.
It can be thought of as a fee charged for borrowing money.
The higher the interest rate, the more money a person can earn on their investment.
Anita and Miguel's accounts are probably savings accounts or CDs, which are low-risk investments that pay a fixed interest rate.
Savings accounts and CDs are good options for people who want to save money without taking on a lot of risk.
Anita and Miguel's accounts are probably savings accounts or CDs, which are low-risk investments that pay a fixed interest rate.
For more related questions on Savings accounts:
https://brainly.com/question/1446753
#SPJ8
Based on a Comcast survey, there is a 0.8 probability that a randomly selected adult will watch prime-time TV live, instead of online, on DVR, etc. Assume that seven adults are randomly selected. Find the probability that fewer than three of the selected adults watch prime-time live.
A. 0.00430
B. 0.00467
C. 0.000358
D. 0.0512
Answer:
B. 0.00467
Step-by-step explanation:
This is a binomial probability problem. The probability of fewer than three adults watching prime-time TV live is the sum of the probabilities of 0, 1, and 2 adults watching prime-time TV live.
Let X be the number of adults watching prime-time TV live. The probability mass function of X is given by:
P(X=k)=(kn)p^k(1−p)^n−k
where n is the number of trials (7 in this case), k is the number of successes, and p is the probability of success on a single trial (0.8 in this case).
So, the probability that fewer than three of the selected adults watch prime-time TV live is:
P(X<3) = P(X=0) + P(X=1) + P(X=2)
=(7 0)(0.8)^0(0.2)^7 + (7 1)(0.8)^1(0.2)^6 + (7 2)(0.8)^2(0.2)^5
=1/78125 + 28/78125 + 336/78125
=73/15625
=0.004672
c) A company is considering expanding its business. The expansion will cost 350million initially for the premises and a further sh150 million to refurbish the premises with new equipment. Cash flow projections from the project show the
following cash flows over the next six years.
Year Net cash flows
Sh 000
1 70000
2 70000
3 80000
4 100000
5 100000
6 120000
The equipment will be depreciated to a zero resale value over the same period and after the sixth year, it is expected that the new business could be sold for sh350 million.
Required:
Calculate:
i. The payback period for the project. (5 marks)
ii. The accounting rate of Return (ARR) , using the average investment method.
(5 marks)
iii. The net present value (NPV) of the project. Assume the relevant cost of capital is 12%.
(5 marks)
iv. The internal Rate of Return (IRR) of the project. (5 marks)
i. The payback period for the project is 6 years.
ii. The accounting rate of return (ARR) using the average investment method is 21.18%.
iii. The net present value (NPV) of the project is -165,143.
iv. The internal rate of return (IRR) of the project is approximately 19.61%.
i. The payback period for the project:
To calculate the payback period, we need to determine how long it takes for the cumulative net cash flows to equal or exceed the initial investment of 350 million + 150 million.
Year 1: 70,000, Year 2: 70,000, Year 3: 80,000, Year 4: 100,000, Year 5: 100,000, Year 6: 120,000.
Cumulative Cash Flow:
Year 1: 70,000
Year 2: 70,000 + 70,000 = 140,000
Year 3: 140,000 + 80,000 = 220,000
Year 4: 220,000 + 100,000 = 320,000
Year 5: 320,000 + 100,000 = 420,000
Year 6: 420,000 + 120,000 = 540,000.
The cumulative cash flows exceed the initial investment of 500 million (350 million + 150 million) in Year 6.
So, the payback period for the project is 6 years.
ii. The accounting rate of return (ARR) using the average investment method:
ARR = Average Annual Profit / Average Investment
Average Annual Profit = Sum of Net Cash Flows / Number of Years
Average Annual Profit = (70,000 + 70,000 + 80,000 + 100,000 + 100,000 + 120,000) / 6
Average Annual Profit = 540,000 / 6
Average Annual Profit = 90,000
Average Investment = (Initial Investment + Residual Value) / 2
Average Investment = (500 million + 350 million) / 2
Average Investment = 425 million.
ARR = 90,000 / 425,000 = 0.2118 or 21.18%
iii. The net present value (NPV) of the project:
To calculate NPV, we discount each cash flow to its present value using the cost of capital of 12%.
NPV = (Net Cash Flow1 / [tex](1 + r)^1)[/tex] + (Net Cash Flow2 / [tex](1 + r)^2)[/tex] + ... + (Net Cash Flow6 / (1 + r)^6) - Initial Investment.
[tex]NPV = (70,000 / (1 + 0.12)^1) + (70,000 / (1 + 0.12)^2) + (80,000 / (1 + 0.12)^3) + (100,000 / (1 + 0.12)^4) + (100,000 / (1 + 0.12)^5) + (120,000 / (1 + 0.12)^6) -[/tex] (350 million + 150 million)
Calculating each term and summing them up:
NPV = 54,017 + 48,234 + 54,497 + 62,313 + 55,631 + 60,165 - 500 million
NPV = -165,143
Therefore, the net present value (NPV) of the project is -165,143.
iv. The internal rate of return (IRR) of the project:
To calculate the IRR, we find the discount rate that makes the NPV equal to zero. Using a financial calculator or Excel, we can determine that the IRR for this project is approximately 19.61%.
For similar question on average investment.
https://brainly.com/question/14057852
#SPJ8
A video posted on social media is gaining views among female users aged 25-30. The number of views, in thousands, is modeled by f(t)=70001+35000e−0.2t where time, t, is measured in hours.
How many views, in thousands, are predicted among this demographic after 24 hours? Round your answer to the nearest whole number.
Answer:
After 24 hours 24 thousand views are predicted.
Step-by-step explanation:
To find the number of times the video is predicted to be viewed after 24 hours, we evaluate f(24) for the function f(t)=7000/1+35000e−0.2t
f(24)=7000/1+35000e^(−0.2⋅(24))
f(24)=7000/1+35000e^−4.8
f(24)≈24.21800522
After 24 hours, 24 thousand views are predicted.
The number of views that the video would get after 24 hours based on the function is 24 thousand
What is an exponential function?An exponential function is a mathematical function of the form:
f(x) =[tex]a^x[/tex]
where "a" is a positive constant called the base, and "x" is the exponent, representing the power to which the base is raised. The exponent "x" can be any real number, making exponential functions quite versatile in describing a wide range of phenomena.
We have that;
=7000/1+35000[tex]e^{-0.2t[/tex]
Where t = 24 hours
=7000/1+35000[tex]e^{-0.2 * 24[/tex]
= 24
Learn more about exponential function:https://brainly.com/question/28596571
#SPJ2
40,328*77 =
Remainder:
Answer: Step-by-step work:
40,328
77
3,105 (Carry the 3)
27,468
302,976
1,609,432
Add the numbers horizontally:
2,943,941
So, 40,328 * 77 = 2,943,941
The remainder when divided by 10 is:
2,943,941 % 10 = 1
Therefore, the remainder is 1.
More concisely:
40,328 * 77 = 2,943,941
2,943,941 % 10 = 1
So the remainder when 2,943,941 is divided by 10 is 1.
Hope this helps! Let me know if you have any other questions
Step-by-step explanation:
Part of the graph of the function f(x) = (x – 1)(x + 7) is shown below.
Which statements about the function are true? Select three options.
The vertex of the function is at (–4,–15).
The vertex of the function is at (–3,–16).
The graph is increasing on the interval x > –3.
The graph is positive only on the intervals where x < –7 and where
x > 1.
The graph is negative on the interval x < –4.
Answer:
The vertex of the function is at (–3,–16)
The graph is increasing on the interval x > –3
The graph is positive only on the intervals where x < –7 and where
x > 1.
Step-by-step explanation:
The graph of [tex]f(x)=(x-1)(x+7)[/tex] has clear zeroes at [tex]x=1[/tex] and [tex]x=-7[/tex], showing that [tex]f(x) > 0[/tex] when [tex]x < -7[/tex] and [tex]x > 1[/tex]. To determine where the vertex is, we can complete the square:
[tex]f(x)=(x-1)(x+7)\\y=x^2+6x-7\\y+16=x^2+6x-7+16\\y+16=x^2+6x+9\\y+16=(x+3)^2\\y=(x+3)^2-16[/tex]
So, we can see the vertex is (-3,-16), meaning that where [tex]x > -3[/tex], the function will be increasing on that interval
A race car driver won a 200 mile race with a speed of 159.5 miles per hour. Find the driver's time.
Answer:
1.255 seconds
Step-by-step explanation:
We can use the formula:
time = distance ÷ speed
to find the driver's time. Here, the distance is 200 miles and the speed is 159.5 miles per hour. Substituting these values into the formula, we get:
time = 200 miles ÷ 159.5 miles per hour
time = 1.255 seconds
En un terreno rectangular que mide 64 cm por 18 cm, van a construir en el 50 % una casa ¿Cuál es el área construida?
The built area of 50% of the house on the rectangular piece of land measures 576 cm^2.
To find the built area of 50% of a house on a rectangular piece of land, we need to calculate the area of the rectangular piece of land and then determine 50% of that area.
The rectangular piece of land has dimensions of 64 cm by 18 cm. To calculate the area, we multiply the length by the width:
Area = Length * Width
Area = 64 cm * 18 cm
Area = 1152 cm^2
The total area of the rectangular piece of land is 1152 cm^2.
To find the built area, which is 50% of the total area, we multiply the total area by 50% (or 0.5):
Built Area = Total Area * 50%
Built Area = 1152 cm^2 * 0.5
Built Area = 576 cm^2
Therefore, the built area of 50% of the house on the rectangular piece of land measures 576 cm^2.
It's important to note that this calculation assumes that the built area is uniformly distributed on the land and represents half of the house's total area. The actual shape and distribution of the house may vary, but this calculation provides an estimate of the built area based on the given information.
For more such questions on area visit:
https://brainly.com/question/25292087
#SPJ8
Note the translate question is:
On a rectangular piece of land that measures 64 cm by 18 cm, they are going to build 50% of a house. What is the built area?
Answer:
Step-by-step explanation:
waza skibidi domo dom yes yes insanito free fire
simplify 1200×1260÷800 leaving your answer in standard form
The simplified form of the expression 1200 × 1260 ÷ 800 in standard form is 1890.
To simplify the given expression, we perform the multiplication and division operations according to the order of operations (PEMDAS/BODMAS).
First, we perform the multiplication: 1200 × 1260 = 1,512,000.
Next, we perform the division: 1,512,000 ÷ 800 = 1890.
The result, 1890, is in standard form.
In standard form, a number is expressed as a product of a number between 1 and 10 (inclusive) and a power of 10. In this case, 1890 is already in the appropriate format and does not require any further modification.
Therefore, the simplified form of the expression 1200 × 1260 ÷ 800 is 1890 in standard form.
For more such answers on BODMAS
https://brainly.com/question/29626868
#SPJ8
Here is Takeshi's work determining a third point on the graph of an exponential function, `h(x)`.
Explain why the work is incorrect.
Answer:
Step-by-step explanation:
Let h(x) = y
The exponentail function is of the form :
[tex]y = ab^x[/tex]
We have :
[tex]y_{_1} = ab^{x_{_1}}\\y_{_2} = ab^{x_{_2}}\\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{ab^{x_{1}}}{ab^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{b^{x_{1}}}{b^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = b^{(x_1-x_2)}[/tex]
Given points : (4, 9) and (5, 34.2)
We have:
[tex]\frac{34.2}{9} = b^{(5-4)}\\\\\implies 3.8 = b[/tex]
Writing the equation with x, y and b:
[tex]y = ab^x\\\\\implies 9 = a(3.8^4)\\\\a = \frac{9}{3.8^4} \\\\a = 0.043[/tex]
a = 0.043
b = 3.8
When x = 6, y will be:
[tex]y = (0.043)(3.8^6)\\\\y = 128.47[/tex]
This is not the y value in the question y = 59.4
Therefore (6, 59.4) does not lie on the graph h(x)
HELP ASAP!!!!!! LOOK AT THIS:
Alice, Raul, and Maria are baking cookies together. They need 3/4 cup of flour and 1/3 cup of butter to make a dozen cookies. They each brought the ingredients they had at home . Alice brought 2 cups of flour and 1/4 cup of butter, and Maria brought 1and1/4 cups of flour and 3/4 cup of butter. If the students have plenty of the other ingredients they need (sugar, salt, baking soda, etc.), how many whole batches of a dozen cookies can they make ?
,Alice, Raul, and Maria can make 1 whole batch of a dozen cookies together using the ingredients they brought.
To determine how many whole batches of a dozen cookies they can make, we need to compare the amount of flour and butter they have with the required amounts for each batch of cookies.
Let's calculate the total amount of flour and butter each student brought:
Alice:
Flour: 2 cups
Butter: 1/4 cup
Maria:
Flour: 1 1/4 cups
Butter: 3/4 cup
Now let's compare the amounts with the required ingredients for a batch of cookies:
Required amount per batch:
Flour: 3/4 cup
Butter: 1/3 cup
First, let's see how many batches of cookies Alice can make:
Flour: Alice has 2 cups, and each batch requires 3/4 cup. So she can make 2 cups / (3/4 cup) = 8/3 = 2 and 2/3 batches of cookies.
Butter: Alice has 1/4 cup, and each batch requires 1/3 cup. Since she doesn't have enough butter for a full batch, she can't make any batches of cookies with the butter she brought.
Next, let's see how many batches of cookies Maria can make:
Flour: Maria has 1 1/4 cups, and each batch requires 3/4 cup. So she canmake (5/4 cups) / (3/4 cup) = 5/3 = 1 and 2/3 batches of cookies.
Butter: Maria has 3/4 cup, and each batch requires 1/3 cup. So she can make (3/4 cup) / (1/3 cup) = 9/4 = 2 and 1/4 batches of cookies.
Now, to find the maximum number of whole batches they can make together, we take the minimum of the number of batches each student can make:
Alice: 2 and 2/3 batches
Maria: 1 and 2/3 batches
Raul: Not mentioned, so we assume he brought the required ingredients.
The minimum value is 1 and 2/3 batches, which means they can make 1 whole batch of a dozen cookies together.
For more such question dozen visit:
https://brainly.com/question/30948187
#SPJ8
The wholesale price for a chair is $114 A certain furniture store marks up the wholesale price by 33% Find the price of the chair in the furniture store. Round your answer to the nearest cent, as necessary.
Answer:
Step-by-step explanation:
144*33/
The Hernandez family orders 3 large pizzas. They cut the pizzas so that each pizza has the same number of slices, giving them a total of 24 slices.
The Wilson family also orders several large pizzas from the same pizza restaurant. They also cut the pizzas so that all their pizzas have the same number of slices. For the Wilson family, the equation y = 10x represents the relationship, where x represents the number of pizzas and y represents the number of total slices.
Which statements best describe the pizzas bought by the Hernandez and Wilson families? Select two options.
Find the area of the parallelogram
The area of the parallelogram is 189 square units
How to determine the areaFirst, we have the determine the length of the base and height.
The distance between the lines x = 9 and f(x) = 9 + 2x is the height
We have that the line parallel to f(x) passes through (4, 11)
The equation in point-slope form is;
y - 11 = 2(x - 4
y = 2x + 3
Substitute x = 9 in the equation, y = 2x + 3.
y = 2(9) + 3 = 21
The points are then (9, 21) and (9, 0).
The distance between the y-axis and the line x = 9 is the base.
Base = 9 units.
The formula for calculating area of a parallelogram is given by ;
= base × height
= 9 × 21
= 189 square units.
Learn more about parallelograms at: https://brainly.com/question/10744696
#SPJ1
What percent of 50 is 20?
Answer:
40% of 50 is 20
Step-by-step explanation:
[tex]50x=20\\x=\frac{20}{50}=0.4=40\%[/tex]
Answer: 20 is 40% of 50.
Step-by-step explanation:
We can simply divide 20/50
20/50 = 0.4
Now multiply it by 100 to get the percent: 0.4×100 = 40%
Hope this helps!
Determine the period.
NAV
8 10 12 14
3
2
1
-1
-2
-3
2
Answer:
7
Step-by-step explanation:
V looking shape has ends at 1 & 8
8 - 1 = 7
brainly
A marble is rolling up an inclined plane. The distance (in cm) the marble has rolled after t seconds is given by s(t)=100t/t+1
a. What is the initial velocity of the marble?
b. How fast is the marble rolling at time 4 seconds?
c. At what time is the velocity 50 cm/s?
d. How fast is the marble rolling when it is 90 cm from its starting point?
e. Find and interpret lim s(t) t-> infinity and lim v(t) lim t-> infinity. Do you think this model is valid for large values of t?
Explain.
a. The initial velocity of the marble is 0 cm/s.
b. The marble is rolling at a speed of 80 cm/s at 4 seconds.
c. The velocity is 50 cm/s at approximately t = 2√2 - 1 seconds.
d. The marble is rolling at a speed of 90 cm/s when it is 90 cm from its starting point at t = 9 seconds.
e. lim s(t) as t approaches infinity is 100 cm and lim v(t) as t approaches infinity is 0 cm/s; the model may not be valid for large values of t as it assumes the marble is rolling up an inclined plane without considering other factors such as friction.
a. To find the initial velocity of the marble, we need to calculate the limit of the function s(t) as t approaches 0:
lim (t->0) s(t) = lim (t->0) (100t / (t + 1))
By substituting 0 into the expression, we get:
lim (t->0) (0 / (0 + 1)) = 0 / 1 = 0.
Therefore, the initial velocity of the marble is 0 cm/s.
b. To find the speed of the marble at time 4 seconds, we substitute t = 4 into the expression for s(t):
s(4) = 100(4) / (4 + 1) = 400 / 5 = 80 cm/s
The marble is rolling at a speed of 80 cm/s at 4 seconds.
c. To find the time at which the velocity is 50 cm/s, we set s'(t) (the derivative of s(t)) equal to 50 and solve for t:
s'(t) = 50
[tex](100 / (t + 1))^2 = 50[/tex]
100 / (t + 1) = ±√50
100 = ±√50(t + 1)
±√50(t + 1) = 100
t + 1 = 100 / ±√50
t + 1 = ±2√2
Since time cannot be negative, we take t + 1 = 2√2:
t = 2√2 - 1
The velocity is 50 cm/s at approximately t = 2√2 - 1 seconds.
d. To find the speed of the marble when it is 90 cm from its starting point, we need to solve the equation s(t) = 90 for t:
100t / (t + 1) = 90
100t = 90(t + 1)
100t = 90t + 90
10t = 90
t = 9
The marble is rolling at a speed of 90 cm/s when it is 90 cm from its starting point, which occurs at t = 9 seconds.
e. The limit of s(t) as t approaches infinity (lim s(t) as t->∞) is calculated by considering the dominant term in the numerator and denominator:
lim (t->∞) (100t / (t + 1))
≈ lim (t->∞) (100t / t)
= lim (t->∞) 100
= 100
Therefore, lim s(t) as t approaches infinity is 100 cm.
Similarly, the limit of v(t) (velocity) as t approaches infinity (lim v(t) as t->∞) can be found by taking the derivative of s(t) and evaluating the limit:
[tex]v(t) = s'(t) = 100 / (t + 1)^2[/tex]
lim (t->∞) v(t) = lim (t->∞) (100 / [tex](t + 1)^2)[/tex]
≈ lim (t->∞)[tex](100 / t^2)[/tex]
= lim (t->∞) [tex](100 / t^2)[/tex]
= 0.
The limit of v(t) as t approaches infinity is 0 cm/s.
As for the validity of the model for large values of t, it is important to note that the given model assumes that the marble is rolling up an inclined plane.
However, without further information about the nature of the inclined plane (e.g., its slope, frictional forces), it is difficult to determine the accuracy.
For similar question on initial velocity.
https://brainly.com/question/29110645
#SPJ8
2) Looking at your average from question 1, with an expected weight of 4 ounces, what is the % error in actual weights? (Assume you think the answer is 10%. Find 10% of 4 ounces to check to see if that answer is reasonable!) Do not round!
A) 17.5%
B) .128%
C) 10%
D) 0.175%
The calculated percentage error with the assumed answer of 10%
To find the percentage error in actual weights, we can use the formula:
Percentage Error = [(|Measured Value - Expected Value|) / Expected Value] * 100%
In this case, the expected weight is 4 ounces. Let's assume the measured value is 10% off from the expected value. So the measured value would be:
Measured Value = Expected Value + (10% of Expected Value)
= 4 ounces + (10/100) * 4 ounces
= 4 ounces + 0.4 ounces
= 4.4 ounces
Now we can calculate the percentage error:
Percentage Error = [(|4.4 ounces - 4 ounces|) / 4 ounces] * 100%
= [(0.4 ounces) / 4 ounces] * 100%
= (0.4/4) * 100%
= 0.1 * 100%
= 10%
Comparing the calculated percentage error with the assumed answer of 10%, we can see that they are the same.
The percentage error represents the deviation from the expected value as a percentage of the expected value itself. In this case, it indicates that the actual weights deviate by 10% from the expected weight of 4 ounces. The calculated percentage error with the assumed answer of 10%
For more such questions on percentage error
https://brainly.com/question/30760250
#SPJ8
Jennifer Aniston bought a property for $2,000,000. One year later, she sold it for $2,200,000. Jennifer invested only $1,000,000 of her own money and borrowed the rest interest-free from her friend, Brad Pitt. What was her return on this investment?
This means that she made a 20% return on the money she invested in the property. For every dollar she invested, she earned 20 cents in profit.
To calculate Jennifer Aniston's return on investment (ROI), we can use the formula:
ROI = (Net Profit / Initial Investment) * 100
First, let's calculate the net profit. The net profit is the selling price minus the initial investment:
Net Profit = Selling Price - Initial Investment
Net Profit = $2,200,000 - $2,000,000
Net Profit = $200,000
Next, we calculate the ROI:
ROI = (Net Profit / Initial Investment) * 100
ROI = ($200,000 / $1,000,000) * 100
ROI = 0.2 * 100
ROI = 20%
Jennifer Aniston's return on investment for this property is 20%.
For more such questions on invested visit:
https://brainly.com/question/25893158
#SPJ8
the base of a square pyramid is 229 meters long, each slant height is 186 meters. what is the surface area
Answer:
The total surface area is given by: base area + 4 * triangular face area
Substituting the values we calculated: 52441 + 4 * 10424.4 ≈ 91588.4 square meters.
Therefore, the surface area of the square pyramid is approximately 91588.4 square meters.
What does 13 round to the nearest thousandth
H
6:00 PM
What is a frostbite?
Is the expression quadratic 3x+5y-2
No, the expression 3x + 5y - 2200 is not a quadratic expression.
A quadratic expression is an expression of the form ax² + bx + c, where a, b, and c are constants and x is a variable raised to the power of 2.
It is a second-degree polynomial, meaning that the highest power of the variable is 2.Quadratic expressions often have a graph that is a parabola.
"3x + 5y - 2" is a linear expression, not a quadratic expression.
In a quadratic expression, the highest power of the variable(s) is 2, whereas in this expression, the highest power is 1.
The expression 3x + 5y - 2200 is a linear expression since it does not contain a term with a variable raised to the power of 2.
It is a first-degree polynomial, meaning that the highest power of the variable is 1.
Linear expressions often have a graph that is a straight line.
For more related questions on quadratic expression.:
https://brainly.com/question/10025464
#SPJ8
No. The expression, 3x + 5y - 2, is not quadratic.
What are quadratic expressions?The expression "3x+5y-2" is a linear expression, not quadratic.
Quadratic expressions contain a squared term, like "[tex]ax^2 + bx + c[/tex]." In the given expression, there are no squared terms, only linear terms with variables "x" and "y" raised to the power of 1.
The coefficients for "x" and "y" are 3 and 5, respectively, and there is a constant term of -2. Therefore, it represents a linear relationship between "x" and "y" rather than a quadratic one.
More on quadratic expressions can be found here: https://brainly.com/question/14680354
#SPJ1
please help!! need it fast, will give brainliest!! and pls show work !!
Find the measure of angle AEB
Answer:
An acute angle
Step-by-step explanation:
An acute angle is smaller than an obtuse ad right angle.
hope this helps and hope it was right 'cause I really don't know what you meant. :)
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Find the average rate of change of each function over the interval (0, 3). Match each representation with its respective average rate of change.
-1
-2
X
0
6
= 2² + 2x - 5
1
3
2
3 4
-3
The correct matches are:
-1: 0
-2: 0
X: 14/3
0: 0
6: Not used
= 2² + 2x - 5: Not used
To match the representations with their respective average rates of change, we need to calculate the average rate of change for each function over the interval (0, 3) and compare it to the given values.
Let's calculate the average rate of change for each function:
Function: 2² + 2x - 5
To find the average rate of change, we need to calculate the difference in function values divided by the difference in x-values:
Average rate of change = (f(3) - f(0)) / (3 - 0)
Average rate of change = ((2² + 2(3) - 5) - (2² + 2(0) - 5)) / 3
Average rate of change = (13 - (-1)) / 3
Average rate of change = 14 / 3
Match: X = 14/3
Function: -1
Since the function is constant, the average rate of change is 0.
Match: 0
Function: 2
Since the function is constant, the average rate of change is 0.
Match: 0
Function: 3
Since the function is constant, the average rate of change is 0.
Match: 0
Function: -2
Since the function is constant, the average rate of change is 0.
Match: 0
Function: -3
Since the function is constant, the average rate of change is 0.
Match: 0
Therefore, the correct matches are:
-1: 0
-2: 0
X: 14/3
0: 0
6: Not used
= 2² + 2x - 5: Not used
for such more question on average rates
https://brainly.com/question/23377525
#SPJ8
Can someone help me with this question?
Answer: - 27
Step-by-step explanation:
Plug in for x = 3 and y = -6
I'll start with x to make it easier.
Plugging in x =3
[tex]\sqrt{x^4}[/tex]
Means that first we find x^4, and take the square root of that result.
1. Find x^4
x = 3
3^4 = 3 * 3 * 3 *3 = 81
2. Take the square root of x^4
Square root of 81 = 9
So [tex]\sqrt{x^4}[/tex] = 9
Plugging in y = -6
Let's move onto plugging in y, which appears in the expression as y²
y = -6
so y² = -6 * -6 = 36
Putting this together into the expression
[tex]\sqrt{x^4}[/tex] - y²
9 - 36 = -27
How many gallons of a 50% antifreeze solution must be mixed with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze?
Answer: 180 gallons needed
Step-by-step explanation:
Zykeith,
Assume x gallons of 50% antifreeze is needed
Final mixture is x + 60 gallons
Amount of antifreeze in mixture is 0.4*(x+60)
Amount of antifreeze added is .5x + .1*60 = .5x + 6
so .5x + 6 = .4(x + 60)
.5x -.4x = 24 -6
.1x = 18
x = 180
Let x be the number of gallons of the 50% antifreeze solution needed. We know that the resulting mixture will be 70 + x gallons. To get a 40% antifreeze mixture, we can set up the following equation:
[tex]{\implies 0.5x + 0.1(70) = 0.4(70 + x)}[/tex]
Simplifying the equation:
[tex]\qquad\implies 0.5x + 7 = 28 + 0.4x[/tex]
[tex]\qquad\quad\implies 0.1x = 21[/tex]
[tex]\qquad\qquad\implies \bold{x = 210}[/tex]
[tex]\therefore[/tex] We need 210 gallons of the 50% antifreeze solution to mix with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze.
[tex]\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}[/tex]
a sphere with radius r and a cylinder with radius r and a height of r are shown below. how do the surface areas of these solid figures compare?
which statements are correct? check all that apply
A: the surface area of the sphere in terms of r is 4(pi)r^2 square units
B: the surface area of the cylinder in terms of r is 4(pi)r^2 square units
C: the surface area of the cylinder in terms of r is 6(pi)d^2 square units
D: the surface area of the cylinder and sphere are the same
E: the surface area of the cylinder and sphere are NOT the same
The correct statements are A and B, while C, D, and E are incorrect.
The correct statements are:
A: The surface area of the sphere in terms of r is 4(pi)r^2 square units. This is true. The formula for the surface area of a sphere is given by A = 4(pi)r^2, where r is the radius.
B: The surface area of the cylinder in terms of r is 4(pi)r^2 square units. This is true. The formula for the lateral surface area of a cylinder is given by A = 2(pi)rh, where r is the radius and h is the height. Since the height of the cylinder is also r, the formula simplifies to A = 2(pi)rh = 2(pi)r(r) = 2(pi)r^2. Additionally, the two circular bases of the cylinder also contribute to the surface area, each with an area of (pi)r^2. Therefore, the total surface area of the cylinder is A = 2(pi)r^2 + 2(pi)r^2 = 4(pi)r^2.
C: The surface area of the cylinder in terms of r is 6(pi)d^2 square units. This statement is incorrect. The formula provided is incorrect. The correct formula for the surface area of a cylinder is A = 2(pi)rh, not 6(pi)d^2.
D: The surface area of the cylinder and sphere are the same. This statement is incorrect. The surface areas of a cylinder and a sphere are different. The surface area of a sphere is given by A = 4(pi)r^2, while the surface area of a cylinder is given by A = 2(pi)r^2 + 2(pi)rh. The presence of the curved surface in the cylinder makes its surface area different from that of a sphere.
E: The surface area of the cylinder and sphere are NOT the same. This statement is correct. As mentioned above, the surface areas of a cylinder and a sphere are different, so they are not the same.
In summary, the correct statements are A and B, while C, D, and E are incorrect.
for such more question on surface area
https://brainly.com/question/20771646
#SPJ8
A grain su nas a cylindrical shape. Its diameter is 19 ft, and
its height is 50 ft.
Answer the parts below. Make sure that you use the correct
units in your answers. If necessary, refer to the
list of geometry formulas.
(a) Find the exact volume of the silo. Write your answer in terms of
Exact volume:
Approximate volume:
(b) Using the ALEKS calculator, approximate the volume of the silo.
To do the approximation, use your answer to part (a) and the button on the calculator. Round
your answer to nearest hundredth.
a. The exact volume is V = π(9.5 ft)²(50 ft) = 225π ft³.
b. Rounding the answer to the nearest hundredth, the approximate volume of the silo is 706.50 ft³.
(a) The exact volume of the silo can be found using the formula for the volume of a cylinder, which is V = πr²h,
where r is the radius and h is the height.
Since the diameter is given, we can divide it by 2 to find the radius.
The radius of the silo is 19 ft / 2 = 9.5 ft.
The height of the silo is 50 ft.
Using these values, the exact volume of the silo is:
V = π(9.5 ft)²(50 ft) = 225π ft³.
The approximate volume can be found using the ALEKS calculator, which is not available in this text-based interface.
However, you can use the exact volume calculated above to manually approximate the volume to the nearest hundredth by evaluating the expression using the value of π as approximately 3.14 or 22/7.
(b) Approximate volume using the ALEKS calculator: [Please use an online calculator or a scientific calculator to approximate the value to the nearest hundredth].
For similar question on exact volume.
https://brainly.com/question/27535498
#SPJ8