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Aleks [24]
3 years ago
14

ASAAPPP!! Which of the following exponential equations could be represented by the table below?

Mathematics
2 answers:
Ira Lisetskai [31]3 years ago
8 0

Answer:

C) y=3^{x-3}+2

Step-by-step explanation:

In this question, from the table looking at the Range row (y values). We can clearly see increasing values. Increasing exponential functions follow this rule:

y=a^{n} \Rightarrow a>1

As \frac{1}{3} We can eliminate A, D for they are decreasing exponential functions.

And let's focus on the test for B, and C

b) y=3^{x-2}-3\\y=3^{-3-2}-3\Rightarrow (-3,-2.9959)\\c) y=3^{x-3}+2\\y=3^{-3-3}+2\Rightarrow (-3,2.0014)

As the first coordinate point matches, then it's C the answer

Ne4ueva [31]3 years ago
7 0

Answer:

Option C

Step-by-step explanation:

Just took the quiz and it was right.

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The radius of the base of a cylinder is increasing at a rate of 7 millimeters per hour. The height of the cylinder is fixed at 1
Ilya [14]

Answer:

The rate of change of the volume of the cylinder at that instant = 791.28\ mm^3/hr

Step-by-step explanation:

Given:

Rate of increase of base of radius of base of cylinder = 7 mm/hr

Height of cylinder = 1.5 mm

Radius at a certain instant = 12 mm

To find rate of change of volume of cylinder at that instant.

Solution:

Let r represent radius of base of cylinder at any instant.

Rate of increase of base of radius of base of cylinder can be given as:

\frac{dr}{dt}=7\ mm/hr

Volume of cylinder is given by:

V=\pi\ r^2h

Finding derivative of the Volume with respect to time.

\frac{dV}{dt}=\pi\ h\ 2r\frac{dr}{dt}

Plugging in the values given:

\frac{dV}{dt}=\pi\ (1.5)\ 2(12)(7)

\frac{dV}{dt}=252\pi

Using \pi=3.14

\frac{dV}{dt}=252(3.14)

\frac{dV}{dt}=791.28\ mm^3/hr (Answer)

Thus rate of change of the volume of the cylinder at that instant = 791.28\ mm^3/hr

6 0
2 years ago
Nathan works the same number of hours each day five days each week he earns $12 per hour last week he earn $420 how many hours d
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Answer:

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The following table shows the number of hours some students of a class listen to music each day:
artcher [175]

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John needs 13 bottles of water from the store. John can only carry 3 at a time. What's the minimum number of trips John needs to
artcher [175]
13/3 = 4 1/3...so the minimum would be 4 1/2
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2 years ago
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