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Jobisdone [24]
3 years ago
5

Find the volume of the rectangular prism.

Mathematics
1 answer:
Georgia [21]3 years ago
8 0

Answer:

D, 576

Step-by-step explanation:

To find the volume of a rectangular prism, you simply need to multiply all of the side lengths together. 4*9*16=576, or answer choice D.

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when a stone falls freely, the time taken to hit the ground varies as the square root of the distance fallen. If it takes four s
Eva8 [605]

Answer:

The stone would take approximately 10.107 seconds to fall 500 meters.

Step-by-step explanation:

According to the statement of the problem, the following relationship of direct proportionality is built:

t \propto y^{1/2}

t = k\cdot t^{1/2}

Where:

t - Time spent by the stone, measured in seconds.

y - Height change experimented by the stone, measured in meters.

k - Proportionality constant, measured in \frac{s}{m^{1/2}}.

First, the proportionality constant is determined by clearing the respective variable and replacing all known variables:

k = \frac{t}{y^{1/2}}

If t = 4\,s and y=78.4\,m, then:

k = \frac{4\,s}{(78.4\,m)^{1/2}}

k \approx 0.452\,\frac{s}{m^{1/2}}

Then, the expression is t = 0.452\cdot y^{1/2}. Finally, if y = 500\,m, then the time is:

t = 0.452\cdot (500\,m)^{1/2}

t \approx 10.107\,s

The stone would take approximately 10.107 seconds to fall 500 meters.

4 0
3 years ago
2x — бу = 12<br> х+ 10 = — 9
Serggg [28]

Answer:

x = -19; y = 25/3

Step-by-step explanation:

Step 1: solve the equation with only one variable

Isolate the variable (x)

x + 10 = -9

x = -9 - 10

x = -19

Step 2: input new information into the other equation

If x = -19, then:

2(-19) - 6y = 12

Isolate the variable (y)

-38 - 6y = 12

-6y = 12 + 38

-6y = 50

y = 50 ÷ 6

y = 50/6

Simplify

y = 25/3

5 0
4 years ago
3 times the amount of x+2? it is worth 10 points and
FinnZ [79.3K]
Not too sure what you're asking, but...

3(x+2) is the expression
8 0
3 years ago
Read 2 more answers
Write the expression that shows "3 times the<br>sixth power of 10."​
photoshop1234 [79]

Answer:

10^6^*^3\\\\or\\\\10^1^8

Step-by-step explanation:

the 6th power of 10 would be 10^6, then you'd multiply it by 3 which would make it 10^6*3

you could then simplify it and say 10^18 (multiply the exponents [6 and 3])

7 0
3 years ago
A marathon race participant walks at a rate of 2.5 miles per hour and runs at a rate of 5 miles per hour. The combined distance
valentinak56 [21]

Answer:

2.5x + 5y = 12.5

Step-by-step explanation:

3 0
3 years ago
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