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3 years ago

Which expressions are equivalent to the one below?

1 answer:

8 0

The expressions that show different ways to rewrite
$\dfrac{16^{x}}{4^{x}}$

are ...
a. (4^x * 4^x) / 4^x
b. 4^x
c. (16 / 4)^x

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What is the inverse of function f?<br> f(x)=64x^3-1

Yuri [45]

The inverse for function of f ⬇️

3 0

3 years ago

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if a cylinder with height 9 inches and radius r is filled with water, it can fill a certain pitcher. how many of these pitchers

dalvyx [7]

Answer:

4 pitchers

Step-by-step explanation:

we know that

The volume of a cylinder is equal to

$V=\pi r^{2}h$

step 1

Find the volume of the cylinder with height 9 inches and radius r

substitute the given values

$V_1=\pi r^{2}(9)$

$V_1=9\pi r^{2}\ in^3$

step 2

Find the volume of the cylinder with height 9 inches and radius 2r

substitute the given values

$V_2=\pi (2r)^{2}(9)$

$V_2=36\pi r^{2}\ in^3$

step 3

we know that

The volume of the cylinder 1 can fill a certain pitcher,

The volume of the pitcher is the same that the volume of cylinder 1

therefore

the number of pitchers that can be filled by the second cylinder is equal to divide the volume of the second cylinder by the volume of the first cylinder

$\frac{36\pi r^{2}}{9\pi r^{2}}=4\ pitchers$

3 0

3 years ago

FIRST TO ANSWER GETS BRAINLIEST: The average age of one hundred Year 9 students is 14 y 10 m. The average age of one hundred Yea

Dvinal [7]

Answer:

2) 14 y 2 m

Step-by-step explanation:

Year 9 students: total age= 100* 14 10/12= 1400 +100*5/6= 1483 y 8 m

Year 8 students: total age= 100* 13 6/12= 1350 y

Total age of 200 students: 1483 y 8 m + 1350 y= 2833 y 8 m

Average age= 2833 8/12 ÷ 200= (12*2833+8)/12 ÷ 200 = 34004/(12*200)= 34004/2400= 14 404/2400 ≈ 14 1/6 y= 14 y 2 m

4 0

3 years ago

Solve the following equation by factoring: x^2+ x– 42 = 0

Anastaziya [24]

Answer:

x=6,x=-7

Step-by-step explanation:

x^2+x-42=0

x^2-6x+7x-42=0

x(x-6)7(x-6)=0

(x-6)(x+7)=0

3 0

2 years ago

Please help me with this

victus00 [196]

Yes, because there are two pairs of congruent corresponding angles

8 0

3 years ago

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