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yarga [219]
3 years ago
8

What is the volume of the shape above??​

Mathematics
1 answer:
zimovet [89]3 years ago
4 0

Answer:

720*5=3600

Step-by-step explanation:

8 times 9 times 10 times 5 will give 3600

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At one gym, there is a $12 start-up fee, and after that each month at the gym costs $20. At another gym, it costs $4 to startup,
mart [117]

Answer:

In 4 months the cost of both gyms will be the same.

Step-by-step explanation:

At first we need to model the function to calculate the cost of the 2 gyms.

Slope-intercept equation of linear function

f(x)=mx+b

where

m\rightarrow slope of line

b\rightarrow y-intercept

Let linear function to calculate total cost of gym be:

c(n)=mn+b

where

c\rightarrow total cost of gym

m\rightarrow cost per month (slope)

n\rightarrow number of months

b\rightarrow start-up fee (y-intercept)

For Gym 1

m=20 , b=12

c(n)=20n+12

For Gym 2

m=22 , b=4

c(n)=22n+4

In order to find the number of months the cost of both gyms will be the same, we need to equate both functions and solve for number of months (n)

20n+12=22n+4

\\\textrm{Subtracting 22n from both sides}\\20n-22n+12=22n-22n+4\\-2n+12=4\\\textrm{Subtracting 12 from both sides}\\-2n+12-12=4-12\\-2n=-8\\\textrm{Dividing both sides by -2}\\\frac{-2}{-2}n=\frac{-8}{-2}\\n=4\textrm{ months}

So,

In 4 months the cost of both gyms will be the same.

5 0
4 years ago
Which of the following describes the roots of the polynomial function f(x)=(x-3)^4(x+6)^2
yulyashka [42]

Answer:y=3x+4

Step-by-step explanation:

3 0
3 years ago
According to the CDC, the rate of Cesarean births in the United States in 2013 was about 33%. Suppose a random sample of 200 bir
sergij07 [2.7K]

Answer:

n = 200

p = 0.33.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

33% of the births are Cesarean, so p = 0.33

Sample of 200 births, which eans that, n = 200

7 0
3 years ago
What is the reference angle for 11pi/6? Explain your thinking.
il63 [147K]

First we need to see in which quadrant 11pi/6 lies And it lies in fourth quadrant. And to find the reference angle in the fourth quadrant, we need to subtract the given angle from 2 pi . For e.g if the angle is 5pi/3, then the reference angle is 2pi - (5pi/3) = pi/3 .

So for the given question, reference angle of 11pi/6 is

2 \pi - \frac{11 \pi}{6} = \frac{ \pi}{6}

And that's the required reference angle .

8 0
3 years ago
What number multiplied by itself 3 times equal 343
ratelena [41]
7 because 7 • 7 = 49 • 7 = 343
6 0
3 years ago
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