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Veronika [31]
2 years ago
6

How much liquid will fit in the glass shown? Round your answer to the nearest hundredth.

Mathematics
1 answer:
nikitadnepr [17]2 years ago
5 0

Answer:

The cup can hold 497.17 in³ of liquid.

Step-by-step explanation:

The shape of the glass can be divided in two figures, the first one is a cilinder with radius 5 in and height 3 in, while the second is a half sphere with radius 5 in. Therefore in order to calculate the volume of liquid the glass can hold we need to calculate the volume of each of these and sum them.

Vcilinder = pi*r²*h = 3.14*5²*3 = 235.5 in³

Vhalfsphere = (2*pi*r³)/3 = (2*3.14*5³)/3 = 261.67 in³

Vcup = Vcilinder + Vhalfsphere = 235.5 + 261.67 = 497.17 in³

The cup can hold 497.17 in³ of liquid.

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-(1+7 x) – 61–7 – x)= 36
wariber [46]

Answer:

Step-by-step explanation:

-(1+7 x)=6x-61-7-x)=48x=36

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2 years ago
Need help with exponential functions quick <br> 30 points
lisov135 [29]

Answer:

Since the independent variable x is not the exponent, y = - 7 x^{8} does not represent an exponential function.

Step-by-step explanation:

The general expression of an exponential function is f(x) = a^{x}, where a > 0 and a ≠ 1

Now the given function is y = - 7 x^{8} ..... (1)

So, we can say that the function f(x) = y is not an exponential function as x is not in power of any constant.

Therefore, since the independent variable x is not the exponent, y = - 7 x^{8} does not represent an exponential function. (Answer)

8 0
3 years ago
Use the Remainder Theorem to find the remainder when P(x) = x^4 – 9x^3 – 5x^2 – 3x + 4 is divided by x + 3.
kirza4 [7]
P(x) = (x + 3)Q(x) + R 

<span> P(-3) = (0)Q(x) + R </span>

<span>i P(-3) = R </span>

<span>Now, P(-3) = (-3)⁴ - 9(-3)³ - 5(-3)² - 3(-3) + 4 
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6 0
3 years ago
Read 2 more answers
Ariel swims 2 1/6 miles in every 1/3 hour. Enter the number of miles Ariel swims in 1 minute.
weqwewe [10]

In order to find the distance covered in 1 minute, we need to divide distance covered 2 1/6 miles by 20 minutes.We are given : Ariel swims 2 1/6 miles in every 1/3 hour.

Let us convert 1/3 hour into minutes.

There are 60 minutes in an hour.

Therefore, 1/3 hours = 60 × 1/3 = 20 minutes.

So, we could say, "Ariel swims 2 1/6 miles in every 20 minutes".


2 1/6÷ 20 = 13/6 ÷ 20.

Let us convert division sign into multiplication and flip 20 to 1/20.

We get

<h3>13/6 × 1/20 = 13/120 miles in 1 minute.</h3><h3>In decimal 0.11 mile in 1 minute.</h3>
4 0
3 years ago
PLEASE HELP ASAP!!!FOR A A TEST!
Rudiy27

Answer:

2/5

Step-by-step explanation:

If it landed right side up 12 times out of a total of 30 times, you can write this as a fraction: 12/30.

Simplify the fraction:

12/30 divided by 6/6

2/5

This means that 2/5 is the probability.

8 0
3 years ago
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