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Alekssandra [29.7K]
3 years ago
6

Which company’s tower holds the most water?

Mathematics
1 answer:
GuDViN [60]3 years ago
8 0

Answer: First Option

Step-by-step explanation:

The formula to calculate the volume of a cylinder is:

V = \pi(\frac{d}{2})^2*h

Where d is the diameter of the cylinder and h is the height.

Notice that the term d is squared. This means that to increase the volume of a cylinder it is more efficient to increase its diameter as well. Therefore, look for the cylinder with the largest diameter among the options.

The first cylinder is 90 ft in diameter and 40 ft in height and its volume is

V = \pi(\frac{90}{2})^2*40

V=254469\ ft^3

You can verify that it is the tank that has the highest volume

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For the graphed function f(x) = -(5)* - 3 + 2, calculate the average rate of change from x = 3 to x = 4.
Ilia_Sergeevich [38]

Answer:

-4

Step-by-step explanation:

The average rate of change from x=a to x=b of f(x) is \frac{f(b)-f(a)}{b-a}

The given function is f(x)=-5^{x-3}+2.

f(4)=-5^{4-3}+2=-3.

f(4)=-5^{3-3}+2=1.

The average rate of change from x=3 to x=4 is given by:

\frac{f(4)-f(3)}{4-3}

\frac{-3-1}{4-3}=-4

7 0
3 years ago
At the football game, 4 hamburgers and 6 soft drinks cost $34, and 4 hamburgers and 3 soft drinks cost $25. Which two equations
olga_2 [115]

Answer:

 4x+6y=34\\\\4x+3y=25

Step-by-step explanation:

Let be "x" the cost in dollars of a hamburger and "y" the cost in dollars of a soft drink.

The cost of 4 hamburguers can be represented with this expression:

4x

And the cost of 6 soft drinks  can be represented with this expression:

6y

Since the total cost for 4 hamburgers and 6 soft drinks is $34, you can write the following equation:

4x+6y=34   <em>[Equation 1]</em>

 The following expression represents the the cost of 3 soft drinks:

3y

According to the information given in the exercise, the total cost for 4 hamburgers and 3 soft drinks is $25. Then, the equation that represents this is:

4x+3y=25 <em> [Equation 2]</em>

Therefore, the <em>Equation 1 </em>and the <em>Equation 2 </em>can be used to determine the price of a hamburger and the price of a soft drink

5 0
3 years ago
a new computer costs $450. What is the final price of the computer if it is in sale for 30% off and you must pay the 7% sales ta
zzz [600]

Answer:

$337.05

Step-by-step explanation:

450 x (1- 0.3)= $315

$315 x (1+0.07)= $337.05

4 0
3 years ago
7th grade Math Help Thank You
Nataly_w [17]
D because 3/4 is .75 so 7.75 divided by .75 equals 10.333333333333333
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Because this scale factor is smaller than 1, which means it’s making it smaller than the original.
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