Answer:
It's 1
Step-by-step explanation:
any number or expression divided by itself is 1
Answer:
1
Step-by-step explanation:
The expression (x + 4) / (4 + x) simplifies to 1 because no matter what value you choose for x, when you add 4 to it and add the same value to 4, you always get the same result in the numerator and denominator, making them cancel out and equal to 1.
1. A target is divided into 100 squares colored in dark blue, white, and light blue. Amber throws a beanbag that lands on the target.
co
9 25
dark blue
What is the probability that it will land on a dark blue square?
26
white
light blue
The probability of landing on the dark blue target is 2/5.
Finding probabilityProbability is the ratio of required to the total possible outcomes of an event.
The required outcome = dark blue= 25Total possible outcomes= entire sample Space = 100P(dark blue ) = 40/100
divide through by 20
P(dark blue ) = 2/5
Therefore, the probability of landing on target is 2/5
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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.
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
Jade decided to rent movies for a movie marathon over the weekend. The function g(x) represents the amount of money spent in dollars, where x is the number of movies. Does a possible solution of (6.5, $17.50) make sense for this function? Explain your answer.
Yes. The input and output are both feasible.
No. The input is not feasible.
No. The output is not feasible.
No. Neither the input nor output is feasible.
The output value is feasible. The input value is not feasible, the possible solution of (6.5, $17.50) does not make sense for this function. The correct answer is No. The input is not feasible.
Jade decided to rent movies for a movie marathon over the weekend.
The function g(x) represents the amount of money spent in dollars, where x is the number of movies.
The given function is g(x) which represents the amount of money spent in dollars, where x is the number of movies.
The solution given is (6.5, $17.50).
We need to find whether the solution makes sense for the given function or not.
The input is given as 6.5 and the output is given as $17.50.
This means that Jade rented 6.5 movies and spent $17.50 on renting those movies.
To check whether the solution makes sense or not, we need to see if the input and output values are feasible or not.
The input value 6.5 is not a feasible value because it is not possible to rent half a movie.
Jade can rent 6 movies or 7 movies but not 6.5 movies.
Therefore, the input value is not feasible.
On the other hand, the output value $17.50 is a feasible value because it is possible for Jade to spend $17.50 on renting 6 movies.
The output value is feasible.
Since the input value is not feasible, the possible solution of (6.5, $17.50) does not make sense for this function. The correct answer is No. The input is not feasible.
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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.
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4) AD is a common internal tangent to circles B and C. Find the length of the radius
of circle B. Round to the nearest hundredth. (Hint: Prove that the two triangles
are similar and use proportions to find missing lengths.) (10 points)
I
B
E
6
D
Both triangles in the image are similar based on the AAA similarity theorem. The radius of the circle B is therefore calculated as: AB = 12.
What are similar triangles?Similar triangles are geometric figures that have the same shape but may differ in size. They have corresponding angles that are equal and corresponding sides that are in proportion to each other.
Since AD serves as a common tangent, angle BAE is equal to 90 degrees, which is also equal to angle CDE due to being opposite angles.
By the Angle-Angle-Angle (AAA) similarity criterion, triangles ABE and DCE are similar.
Therefore:
AB/EA = DC/ED
Substitute:
AB/18 = 4/6
Cross multiply:
AB = 18 * 4/6
AB = 12
Therefore, the radius of the circle B is: 12.
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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.
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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
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
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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
What is the mixed number or the fraction?? Please help
there are 50 people in a coffee shop fourteen are tourist.what percent of people in the shop are tourist and non tourist
Answer:
tourist: 28%
non-tourist: 72%
Step-by-step explanation:
total: 50
tourists: 14
non-tourists:50 - 14 = 36
tourist percentage: 14/50 × 100% = 28%
non-tourist percentage: 36/50 × 100 = 72%
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!
Rewrite 9 2/7 as an improper fraction. 25/2 65/7 25/7 23/7 Rewrite 2 4/5 as an improper fraction. 10/4 13/5 14/5 22/5 Find the product of 9 2/7 and 2 4/5. Express your answer in simplest form. 26 130/5 910/35 15
Answer:
1. 9 2/7 = (63+2)/7 = 65/7
2. 2 4/5 = (10+4)/5 = 14/5
3. 65/7 * 14/5 = 910/35 = 26
(12²-15+17)+16= what is the answer
162
Step-by-step explanation:
(12 square - 15 + 17) + 16
=(144 - 15 + 17) + 16
=146 + 16
=162
What number after being increased by 22% results in a value of 305?
Answer:
250
Step-by-step explanation:
[tex]x+0.22x=305\\1.22x=305\\x=250[/tex]
Answer:
250
Step-by-step explanation:
so when you add 22% to 250 it equals 305
Find the third, fourth, and fifth terms of the sequence defined by
a1 = 1, a2 = 3,
and
an = (−1)nan − 1 + an − 2
for
n ≥ 3.
The third term (a3) of the sequence is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183. These values are obtained by applying the given formula recursively and substituting the previous terms accordingly. The calculations follow a specific pattern and are derived using the provided formula.
The sequence is defined by the following formula:
a1 = 1, a2 = 3,
and
an = (-1)nan - 1 + an - 2 for n ≥ 3.
To find the third term (a3), we substitute n = 3 into the formula:
a3 = (-1)(3)(a3 - 1) + a3 - 2.
Next, we simplify the equation:
a3 = -3(a2) + a1.
Since we know a1 = 1 and a2 = 3, we substitute these values into the equation:
a3 = -3(3) + 1.
Simplifying further:
a3 = -9 + 1.
Therefore, the third term (a3) is equal to -8.
To find the fourth term (a4), we substitute n = 4 into the formula:
a4 = (-1)(4)(a4 - 1) + a4 - 2.
Simplifying the equation:
a4 = -4(a3) + a2.
Since we know a2 = 3 and a3 = -8, we substitute these values into the equation:
a4 = -4(-8) + 3.
Simplifying further:
a4 = 32 + 3.
Therefore, the fourth term (a4) is equal to 35.
To find the fifth term (a5), we substitute n = 5 into the formula:
a5 = (-1)(5)(a5 - 1) + a5 - 2.
Simplifying the equation:
a5 = -5(a4) + a3.
Since we know a4 = 35 and a3 = -8, we substitute these values into the equation:
a5 = -5(35) + (-8).
Simplifying further:
a5 = -175 - 8.
Therefore, the fifth term (a5) is equal to -183.
In summary, the third term (a3) is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183.
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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.
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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.
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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.
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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 rocket is launched from 168 feet above the ground at the time t=0. The function that model thsi situation is given by h =-16t^2+96t+168 where t is the time in seconds and h is the height of the position of the rocket above the ground level in feet. what is the reasonable domain restriction for t in this context?
The domain for the time in this context is (0, 7.4)
What is an equation?An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.
Let h represent the height of the ball after spending t seconds. A ball is thrown straight up from the top of a building that is 168 ft high with an initial velocity of 96 ft/s.
Given the equation:
h(t) = -16t² + 96t + 168
The reasonable domain restriction for t, is when the height of the rocket is above the ground. Hence the domain for the time in this context is (0, 7.4)
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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
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Drag each shape and value to the correct location on the image. Not all labels will be used.
The tower has a base that is 24 meters wide. The height is shown for the separate sections of the tower.
What is an appropriate shape to model each section of the tower? What is an approximate surface area if each of those shapes?
The appropriate shape to model each section of the tower are the cone and the cylinder.
The approximate surface area of each shape would be =
For cone = 1,041.27m²
For cylinder = 3,543.72m².
How to calculate the surface area of each shape given above?The first shape is a cone and the formula for the surface area = A = πr(r+√h²+r²)
where;
Radius = 24/2 = 12
height = 10m
Area = 1,041.27m²
For cylinder:
A = 2πrh+2πr²
where:
r = 12m
h = 35m
A = 3,543.72m²
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A rectangle Is removed from a right triangle to create the shaded region shown below.if
Answer:
[tex]9\frac{1}{2} cm^2[/tex]
Step-by-step explanation:
The area of the shaded region = area of triangle - area of the rectangle
Base, b of the triangle = 3 + 4 = 7 cm
Ar of triangle = base*height/2
= 7*5/2
= 35/2
[tex]=17\frac{1}{2} cm^2[/tex]
ar of rectangle = length *breadth
= 4*2
= 8 cm²
The area of the shaded region = area of triangle - area of the rectangle
[tex]=17\frac{1}{2} - 8\\\\=9\frac{1}{2} cm^2[/tex]
Answer:
16.5 cm²
Step-by-step explanation:
The shaded area is the area of the triangle minus the area of the rectangle.
A = bh/2 - LW
For the triangle,
b = 3 cm + 4 cm = 7 cm
h = 2 cm + 5 cm = 7 cm
For the rectangle,
L = 4 cm
W = 2 cm
A = bh/2 - LW
A = (7 cm)(7 cm)/2 - (4 cm)(2 cm)
A = 24.5 cm² - 8 cm²
A = 16.5 cm²
A minibus was purchased for R241 000. The rate of depreciation 22% p.a. on a reducing balance basis. The cost of a new minibus inflates at a rate of 15% p.a.
Calculate the replacement cost of the minibus in 4 years’ time if the old minibus is used as a trade-in.
A fixed amount is deposited into a sinking fund at the end of each month for the purchase of a new minibus in 4 years’ time. Calculate the required monthly payment if interest is earned at the rate of 8,6% p.a. compounded monthly, and the first payment is only made three months after the original bus was purchased.
Replacement cost of the minibus in 4 years' time, considering the trade-in of the old minibus, is R9,411.70.
1. Calculate the depreciation of the minibus over 4 years:
Depreciation = Original cost * (1 - Rate of depreciation) Number of years
Depreciation = R241,000 * (1 - [tex]0.22)^4[/tex]
Depreciation = R241,000 * [tex]0.78^4[/tex]
Depreciation ≈ R91,073.17
2. Calculate the remaining value of the minibus after 4 years:
Remaining value = Original cost - Depreciation
Remaining value = R241,000 - R91,073.17
Remaining value ≈ R149,926.83
3. Calculate the inflated cost of a new minibus in 4 years:
Inflated cost = Original cost * (1 + Rate of inflation) Number of years
Inflated cost = R241,000 * (1 + [tex]0.15)^4[/tex]
Inflated cost = R241,000 * [tex]1.15^4[/tex]
Inflated cost ≈ R421,731.04
4. Calculate the replacement cost by subtracting the remaining value and adding the inflated cost:
Replacement cost = Remaining value + Inflated cost
Replacement cost = R149,926.83 + R421,731.04
Replacement cost ≈ R571,657.87
5. Calculate the trade-in value by subtracting the depreciation from the replacement cost:
Trade-in value = Replacement cost - Depreciation
Trade-in value = R571,657.87 - R91,073.17
Trade-in value ≈ R480,584.70
6. Therefore, the replacement cost of the minibus in 4 years' time, considering the trade-in, is approximately R480,584.70.
For the second question:
1. Determine the number of months until the first payment is made:
Number of months = 4 years * 12 months/year - 3 months
Number of months = 48 months - 3 months
Number of months = 45 months
2. Use the formula for the future value of a series of payments to calculate the required monthly payment:
Monthly payment = (Future value * Interest rate) / ((1 + Interest rate) Number of periods - 1)
Monthly payment = (Replacement cost * Monthly interest rate) / ((1 + Monthly interest rate) Number of months - 1)
Monthly payment = (R480,584.70 * 0.086/12) / ((1 + [tex]0.086/12)^4^5[/tex] - 1)
Monthly payment ≈ R9,411.70
3. Therefore, the required monthly payment to the sinking fund for the purchase of a new minibus in 4 years' time, with the first payment made three months after the original bus was purchased, is approximately R9,411.70.
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Simplify the expression by combining
like terms:
2y + 2 + 3y + 5
Enter the number that belongs in the green box.
[?]y + [ ]
A fruit vendor sold 2/5 of his grapefruits on Friday and 1/2 of the remainder on Saturday. He had 60 grapefruits left. a) What fraction of grapefruits did he sell on Saturday? b) How many grapefruits did he have at first? c) How many did he sell on Friday?
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.
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if you borrow $1,000 for 4 years at an annual interest rate of 8% what is the total amount of money you will pay back
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.
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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
find the value of x and the measure of angle axc
Answer:
x = 4
m<AXC = 150
Step-by-step explanation:
m<1 + m<2 = m<AXC
102 + 10x + 8 = 6(6x + 1)
10x + 110 = 36x + 6
26x = 104
x = 4
m<AXC = 6(6x + 1)
m<AXC = 6(24 + 1)
m<AXC = 150