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3 years ago

Write the prime factorization of 4. Use exponents when appropriate and order the factors from least to greatest

Mathematics

2 answers:

Ulleksa [173]3 years ago

7 0

2 because 4/2 =2 and both are prime numbers

Lubov Fominskaja [6]3 years ago

7 0

2 because of 4/2 equals the letter 3

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Which gives the prices in order, from least to greatest

k0ka [10]

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is there a picture to go with the problem?

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3 years ago

This year benny is 12 years old and his mom is 48 years old. what percent of his mom's age is benny's age

Dennis_Churaev [7]

12 • 4 = 48

25% of his mom's age is benny's age

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3 years ago

Water is drained out of tank, shaped as an inverted right circular cone that has a radius of 4cm and a height of 16cm, at the ra

bearhunter [10]

Answer:

$\frac{dh}{dt}=-\frac{1}{2\pi}cm/min$

Step-by-step explanation:

From similar triangles, see diagram in attachment

$\frac{r}{4}=\frac{h}{16}$

We solve for $r$ to obtain,

$r=\frac{h}{4}$

The formula for calculating the volume of a cone is

$V=\frac{1}{3}\pi r^2h$

We substitute the value of $r=\frac{h}{4}$ to obtain,

$V=\frac{1}{3}\pi (\frac{h}{4})^2h$

This implies that,

$V=\frac{1}{48}\pi h^3$

We now differentiate both sides with respect to $t$ to get,

$\frac{dV}{dt}=\frac{\pi}{16}h^2 \frac{dh}{dt}$

We were given that water is drained out of the tank at a rate of $2cm^3/min$

This implies that $\frac{dV}{dt}=-2cm^3/min$ .

Since we want to determine the rate at which the depth of the water is changing at the instance when the water in the tank is 8cm deep, it means $h=8cm$ .

We substitute this values to obtain,

$-2=\frac{\pi}{16}(8)^2 \frac{dh}{dt}$

$\Rightarrow -2=4\pi \frac{dh}{dt}$

$\Rightarrow -1=2\pi \frac{dh}{dt}$

$\frac{dh}{dt}=-\frac{1}{2\pi}$

3 0

3 years ago

Read 2 more answers

Write 0.0002981 in scientific notation.

enyata [817]

How to write 0.000298 in scientific notation? 0.000298 written as scientific notation is 2.98 × 10-4.

How to write 0.000298 in scientific notation? 0.000298 written as scientific notation is 2.98 × 10-4.Here we will show you how to convert 0.000298 into scientific notation, also known as standard form with step-by-step detailed solution

Result :

0.000298 in scientific notation

= 2.98 × 10-4

#VerifiedAnswer

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2 years ago

Jason jumps from a plane at an altitude of 1000 m. His parachute opens after 10 seconds. The graph shows the relationship betwee

r-ruslan [8.4K]

Gravity pulls you to earth at velocity of 9.8 m/s. In the first 40 seconds, Jason would fall (9.8) x (40) = 392 meters.

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3 years ago

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