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3 years ago

The solution of the equation 2^x-7=9 is x the answer is 5 .

Mathematics

2 answers:

Tom [10]3 years ago

5 0

Answer:

x=4

Step-by-step explanation:

2^x-7=9

Add 7 to each side

2^x-7+7=9+7

2^x = 16

Change 16 to a power of 2 16 = 2^4

2^x = 2^4

The bases are the same, so the powers are the same

x=4

Mila [183]3 years ago

5 0

Answer:

Step-by-step explanation:

hello :

2^x-7=9

add 7 : 2^x =16

2^x = 2^4

x=4

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What is the average rate of change from -3 to 0 of the function represented by the graph?

lbvjy [14]

Average rate of change = change in y ÷ change in x

We already know the change in x because we are measuring the x values from -3 to 0.

change in x = 0-(-3) = 3

To find the change in y find the difference between the corresponding y-values when x=0 and when x=-3.

change in y = 0.5-2 = -1.5

average rate of change = -1.5/3 = -0.5

answer: -0.5

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3 years ago

a cone with radius of 3 feet and a height of 5 feet is placed on top of a cylinder as shown find the volume of the total figure

Darina [25.2K]

Answer: Volume of the cone = 47.12 cubic feet.

Step-by-step explanation:

You didn't finish the question so Idid the best with what I had, you also didn't include the image that I think was supposed to be included.

To solve for the full volume including the cylinder, use the cylinder's volume formula.

Volume of a cylinder = height (pi) (r^2) and then add it to the 47.12.

Volume of a cone is pi(r^2)(h/3)

plug and chug!

h stands for height and r stands for radius.

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2 years ago

Can someone help me please

Ksenya-84 [330]

Answer:

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3 years ago

Math test assesment chapter 5 answer #9

zaharov [31]

What grade are u in so i can try to help u

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3 years ago

a particular city had a population of 24,000 in 1900 and a population of 29,000 in 1920. Assuming that its population continues

DerKrebs [107]

Answer:

It will have a population of 61,779 in 2000.

Step-by-step explanation:

The population for the city, in t years after 1900, can be modeled by a exponential function with constant growth rate in the following format:

$P(t) = P(0)(1+r)^{t}$

In which P(0) is the population in 1900 and r is the growth rate.

Population of 24,000 in 1900

This means that $P(0) = 24000$

Population of 29,000 in 1920.

1920 is 1920 - 1900 = 20 years after 1900.

This means that P(20) = 29000. So

$P(t) = P(0)(1+r)^{t}$

$29000 = 24000(1+r)^{20}$

$(1+r)^{20} = \frac{29000}{24000}$

$\sqrt[20]{(1+r)^{20}} = \sqrt[20]{\frac{29000}{24000}}$

$1 + r = 1.0095$

$P(t) = P(0)(1+r)^{t}$

$P(t) = 24000(1.0095)^{t}$

What population will it have in 2000

2000 is 2000 - 1900 = 100 years after 1900. So this is P(100).

$P(t) = 24000(1.0095)^{t}$

$P(100) = 24000(1.0095)^{100} = 61779$

It will have a population of 61,779 in 2000.

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3 years ago