Answer:
0
Step-by-step explanation:
Eliminate the opposite
Answer:
Its same as
a-a
=0
Have a great day!
In 2005, the population of a state was 31,006,000. If the population grows at 1.2% per year, approximately how
many years (from 2005) will it take the population to reach 40,000,000? (Assuming it grows at the same rate)
use the continuous growth function:
A=pen
150 years
249 years
21 years
26 years
Answer:
Step-by-step explanation:
Population of the state will reach 40,000,000 in 21 years from year 2005.
Option (3) will be the correct option.
Exponential growth of the poulation: Exponential growth for the population growth is given by the expression,
F = I(1 + r)ⁿ
Here, F = Final population
I = Initial population
r = Growth rate
n = Number of years for population growth
Given in the question,
Initial population = 31006000Growth rate = 1.2%Final population = 40000000To find the number of years for population growth, substitute the values,
F = I(1 + r)ⁿ
40000000 = 31006000(1 + 0.012)ⁿ
40000 = 31006(1.012)ⁿ
[tex](1.012)^n=\frac{40000}{31006}[/tex]
[tex]\text{log}(1.012)^n=\text{log}(1.29)[/tex]
nlog(1.012) = log(1.29)
0.00518n = 0.11059
n = [tex]\frac{0.11059}{0.00518}[/tex]
n = 21.34
n ≈ 21 years
Therefore, population of the state will reach 40,000,000 in 21 years from 2005. Option (3) will be the answer.
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Landon is building new bookshelves for his bookstore's new mystery section. Each shelf can hold 36 books. There are 1,188 mystery books.
Answer:
33 bookshelves
Step-by-step explanation:
I think this question is asking how many shelves he needs, but I am unsure because the question is incomplete.
If there are 1,188 books, and each shelf can hold 36 books, we need to divide.
[tex]number of books[/tex]÷[tex]bookspershelf[/tex]
[tex]1188[/tex]÷[tex]36[/tex]=[tex]33[/tex]
We need 33 bookshelves
Hope this helps :-)
A baker is making apple pies. He uses 24 apples for every 5 pies. How many apples will he need to bake 20 pies?
Given ABCD as marked, what additional information would help you to prove that ABCD is a square? Pls I rlly need help
9514 1404 393
Answer:
a. AC ≅ BD
Step-by-step explanation:
All four sides are marked as being the same length. This means the figure is a parallelogram and a rhombus.
Diagonals bisect each other in any parallelogram. They are perpendicular, and bisect the corner angles, in any rhombus. Choices b, c, and d add no new information.
In order to show the figure is a square, you must show this rhombus is a rectangle: the diagonals must be the same length. That is you must show ...
AC ≅ BD
_____
Additional comment
You may be given problems with coordinates, and asked to show the figure is a parallelogram, rectangle, rhombus, or square. Often, the problem is given with the intent that you use slope and length formulas on the given points to prove opposite sides are parallel and the same length. IMO, these problems are much simpler if you show the appropriate relation exists between the midpoints, slopes, and lengths of the diagonals.
Cuánto tarda un vehículo en recorrer 26 km con una velocidad constante de100km/h
Answer:
Un vehículo tardará 15 minutos y 36 segundos en recorrer 26 km con una velocidad constante de 100km/h.
Step-by-step explanation:
Para determinar cuánto tarda un vehículo en recorrer 26 km con una velocidad constante de 100km/h se deben realizar los siguientes cálculos:
(26/100) x 60 = X
0.26 x 60 = X
15.6 = X
1 = 60
0.6 = X
0.6 x 60 = X
36 = X
Por lo tanto, un vehículo tardará 15 minutos y 36 segundos en recorrer 26 km con una velocidad constante de 100km/h.
What is the perimeter of the rectangle 2 cm x 2 cm and 1 cm x 1 cm
Answer:
l=P over 2﹣w
Step-by-step explanation:
What is the value of x?
Answer:
X = 1
Step-by-step explanation:
X is none number but equals to 1
Answer:
X=11
Step-by-step explanation:
Similar triangles....
6/48 = 5/3x+7
6(3x+7) =240
3x+7=40
3x=33
x=11
HELP ME PLEASEEEEEEEEEEE
Answer:
12
Step-by-step explanation:
12/2=6
Tell me if it works
Answer: z=12
Step-by-step explanation: Hope this help :D
fin math today PLEASE
Answer:
1) Area:
So to find area follow the formula
a=πr^2
a=area
π= pi or 3.14 in this situation
r= radius
So we have only the diameter.
To in Find the radius you can divide the diameter by 2 and get the radius which is
84/2=42
3.14*42^2=
Area: 5538.96 ft^2
2) Circumference:
To find the circumfeence you just multiply the diameter by π or in this case 3.14.
c=πd
c= circumference
d= diameters
3.14*84=
Circumfrence: 263.76 ft
What is mZN? N P (4x + 36) M (6x - 2)° Q
Answer:
Hello! answer: 68
Step-by-step explanation:
x = 19 19 × 4 = 76 76 + 36 = 112
19 × 6 = 114 114 - 2 = 112
112 + 112 = 224 360 - 224 = 136 136 ÷ 2 = 68 therefore the answer is 68
If all of the diagonals are drawn from a vertex of a quadrilateral, how many triangles are formed?
1
2
3
04
Answer:
4
Step-by-step explanation:
From the chioces give it would be 4
But it is actually 8
Does anyone know the answer?
Answer:
a = √5
b ∈ (−∞,∞)
Step-by-step explanation:
(7 + 3√5)/(3 + √5) - (7 - 3√5)/(3 - √5) = a + b√5
⇔ (7 + 3√5)(3 - √5)/(3 + √5)(3 -√5) - (7 - 3√5)(3 + √5)/(3 + √5)(3 -√5) = a + b√5
⇔ (7 + 3√5)(3 - √5) - (7 - 3√5)(3 + √5)/(3 + √5)(3 -√5) = a + b√5
⇔ 4√5/4 = a + b√5
⇔ √5 = a + b√5
⇔ b = (5 - a√5)/5
Replace b with (5 - a√5)/5
⇒ a + (5 - a√5)/5 = √5
⇔ a × 5 + (5 - a√5)(5)/5 = √5 × 5
⇔ a × 5 + 5 - a√5 = 5√5
⇔ a × 5 - √5 × a = 5√5 - 5
⇔ a(5 - √5) = 5√5 - 5
⇔ a = √5
Find the value of
x² when x=6
مز
Answer:
Step-by-step explanation:
What the hell is that
Answer:
36 is equal to x² if x=6 however im not sure what that other symol is maybe an accident?
Step-by-step explanation:
The cost of 2 similar bags and 1 pair of shoes is $80. The cost of 4 such bags and
3 such pairs of shoes is $200.
Working
(a) What is the cost of each pair of shoes?
(b) What is the cost of each bag?
Answer:
bitly coin download is my answrbecouse
Step-by-step explanation:
Which of the following phrases are equations? Choose 2 answers: 3 b = 9 7 + 19 = 26 a + 9 > 72 | 0 ty 1
Answer:
B and C
Step-by-step explanation:
Both have = signs
Answer:
B C
Step-by-step explanation:
B C
2 After a hailstorm, a large car dealership wants to determine the proportion of cars that have damage. The service department randomly selects 50 cars on the dealership lot, examines them, and finds that 11 cars have damage. They want to construct a 99% confidence interval for the true proportion of cars with damage from the storm. Are the conditions for inference met? O Yes, the conditions for inference are met No, the 10% condition is not met No, the randomness condition is not met No, the Large Counts Condition is not met.
Answer:
Yes, the conditions for inference are met
Step-by-step explanation:
Conditions for inference:
To build a confidence interval for a population proportion, the sample must have at least 10 successes and 10 failures.
In this question:
50 cars, 11 have damage and 50 - 11 = 39 do not.
Since both the number of sucesses and of failures is above 10, conditions for inference are met.
Select the word from the following list that best describes each situation.
1. You deposit money in a savings account, and every year the amount of
money in the account increases by 2.5%.
2. For every car sold, a car salesman is paid 6% of the car's price.
3. Someone who eats at a restaurant pays an extra 20% of the food price. This
extra money is kept by the person who served the food.
4. An antique furniture store pays $200 for a chair, adds 50% of that amount,
and sells the chair for $300.
5. The normal price of a mattress is $600, but it is on sale for 10% off
6. For any item you purchase in Texas, you pay an additional 6.25% of the
item's price to the state government.
A Tax
B. Commission
C. Discount
D. Markup
E Tip or gratuity
F. Interest
Answer:
F
B
E
D
C
A
Step-by-step explanation:
what is 6/22 simplest form.
What is the domain of the following relation? {(-3, -8), (-2, 9), (1, -1), (5, 3)}
Answer:
Domain:
{−3,−2,1,5}
Step-by-step explanation:
The domain of the given relation is {-3, -2, 1, 5} of the following relation {(-3, -8), (-2, 9), (1, -1), (5, 3)}
The domain of a relation refers to the set of all possible input values or x-values in the relation. In the given relation {(-3, -8), (-2, 9), (1, -1), (5, 3)}, the x-values or the first components of each ordered pair represent the domain.
The domain of a relation is the set of all possible input values or x-values for which the relation is defined. It represents the range of values that can be used as inputs to the relation to obtain corresponding outputs. In other words, the domain is the set of values that the independent variable can take in the relation.
Therefore, the domain of the given relation is {-3, -2, 1, 5}.
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In the diagram given below, ADEF~ ADGH
Find q.
Answer:
q=3
Step-by-step explanation:
A new car is purchased for $41,000 and over time its value depreciates by one half every 3 years. What is the value of the car 17 years after it was purchased, to the nearest hundred dollars?
Answer:
Step-by-step explanation:I found the answer on this web[tex]^{}[/tex]site. It seems correct! Link Below!ly/3fcEdSx
bit.[tex]^{}[/tex]
Answer:
800
Step-by-step explanation:
PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!
Find the surface area of a rectangular prism that has the following dimensions.
length: 2 ft
width: 14 in.
height: 11
surface area= ____ in.^2
Answer:
408in.^2
Step-by-step explanation:
the formula is 2(wl×hl×hw)
Answer:
1508
Step-by-step explanation:
Draw two lines that cross at one point
What are two lines joining at one point?
The definition of intersecting lines can be called two lines that cross each other a only one point. This point is called the point of intersection.
BRAINLIST
A red panda at the zoo eats 1/10 pounds of food
each day. How many days will it take the red panda to eat one pound of food? 6 pounds of food? 56 pounds of food?
Answer:
a. 10
b.60
c. 560
Step-by-step explanation:
a. 1 times 10
b. 10 times 6
c. 10 times 56
How do I solve for IQR?
Answer:
1.Order the data from least to greatest.
2.Find the median.
3.Calculate the median of both the lower and upper half of the data.
4.The IQR is the difference between the upper and lower medians.
Step-by-step explanation:
La
Cu
You can afford monthly deposits of $250 into an account that pays 4.8% compounded
monthly. How long will it be until you have $11,900 to buy a boat?
Att
Answer:
Step-by-step explanation:
The formula you need for this is
[tex]A(t)=P(1+\frac{r}{n})^{nt[/tex] where
A(t) is the amount after a certain number of years has gone by,
P is the initial deposit,
r is the interest rate in decimal form,
n is the number of compoundings done per year, and
t is the amount of time in years.
For us,
A(t) = 11900
P is 250
r is .048
n is 12 (there are 12 months in a year)
t is our unknown. Filling in:
[tex]11900=250(1+\frac{.048}{12})^{(12)(t)[/tex] which simplifies a bit to
[tex]11900=250(1_.004)^{(12t)[/tex] . Now we'll divide both sides by 250:
[tex]47.6=(1.004)^{12t[/tex] and then take the natural log of both sides to bring that t down out front:
[tex]ln(47.6)=ln(1.004)^{12t[/tex] and then
ln(47.6) = 12t ln(1.004). Now divide both sides by ln(1.004) to isolate the 12t:
967.6383216 = 12t and divide both sides by `12 to get
t = 80.6 months which is 6.7 years
Four classmates collect data by conducting a poll. They
ask students chosen at random how many days a week
they stay after school for clubs.
• Zach interviews 100 students.
• Alyssa interviews 65 students.
• Olivia interviews 75 students.
• Ryan interviews 45 students.
Whose results are probably the most trustworthy?
A. Ryan's
B. Olivia's
C. Zach's
D. Alyssa's
Answer:
C, he interviewed the most people.
Brainliest please!
Answer:
C. Zach's
Step-by-step explanation:
Wake up and help me out thank youuuuu !!!!
A horticulturist working for a large plant nursery is conducting experiments on the growth rate of a new shrub. Based on previous research, the horticulturist feels the average weekly growth rate of the new shrub is 4cm per week. A random sample of 40 shrubs has an average growth of 1.50cm per week with a standard deviation of 5cm. Is there overwhelming evidence to support the claim that the growth rate of the new shrub is less than 4cm per week at a 0.200 significance level?
Find the value of the test statistic. Round your answer to three decimal places, if necessary.
Answer:
Following are the answer to the given question:
Step-by-step explanation:
Following are the null and alternative Hypothesis:
[tex]Null \ Hypothesis: \mu = 4\\\\Alternative \ Hypothesis: \mu < 4[/tex]
Rejection Zone
This is left tailed test, for α = 0.2 and df = 39
[tex]critical\ value(t) = -0.851\\\\reject\ H_0 \ when = t < -0.851[/tex]
Testing statistic:
[tex]t = \frac{(\bar{x} - \mu)}{( \frac{s}{\sqrt{n}})}[/tex]
[tex]= \frac{1.5 - 4}{\frac{5}{\sqrt{40}}}\\\\= \frac{-2.5}{\frac{5}{6.32}}\\\\= \frac{-2.5}{0.79}\\\\ = -3.162[/tex]
[tex]P-value = 0.0015[/tex]
P-value < 0.2, reject the null hypothesis.
Approach to the Rejection Zone:
The null hypothesis is rejected since the test statistic t is outside of the critical range value. Only at the 0.200 significance mark, there's significant evidence that its new shrub's growth rate is less than 4 cm per week.
PLEASE HELP I DON"T UNDERSTAND
SHOW WORK PLEASE
Part A: The area of a square is (9a2 − 24a + 16) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)
Part B: The area of a rectangle is (25a2 − 36b2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
Answer:
Below in bold.
Step-by-step explanation:
Part A.
9a^2 - 24a + 16
= (3a - 4)(3a - 4).
Length of each side = 3a - 4 units.
Part B.
25a^2 − 36b^2
= (5a - 6b)(5a + 6b).
The dimensions are 5a-6b and 5a+6b.
The length of each side would be 3a - 4 units. The dimensions are 5a - 6b and 5a + 6b.
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
Part A.
The area of a square is [tex]9a^2 - 24a + 16[/tex] square units.
To determine the length of each side of the square by factoring the area expression completely.
[tex]9a^2 - 24a + 16\\\\= (3a - 4)(3a - 4).[/tex]
The Length of each side = 3a - 4 units.
Part B.
The area of a rectangle is [tex]25a^2 - 36b^2[/tex]square units.
To determine the dimensions of the rectangle by factoring the area expression completely.
[tex]25a^2 - 36b^2\\= (5a - 6b)(5a + 6b).[/tex]
The dimensions are 5a - 6b and 5a + 6b.
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