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Pavel [41]
3 years ago
6

What is the multiplicative rate of change of the function

Mathematics
2 answers:
mario62 [17]3 years ago
5 0

Answer: B \frac{2}{3}


Step-by-step explanation:

From the given table

When x changes from 1 to 2 , value of y changes from 6 to 4

The multiplicative rate of change=\frac{4}{6}=\frac{2}{3}

Similarly we can check

When x changes from 2 to 3 , value of y changes from 4 to \frac{8}{3}

The multiplicative rate of change=\frac{\frac{8}{3}}{4}=\frac{2}{3}

When x changes from 3 to 4 , value of y changes from  \frac{8}{3} to  \frac{16}{9}

The multiplicative rate of change=\frac{\frac{16}{9}}{\frac{8}{3}}=\frac{2}{3}

Therefore, the multiplicative rate of exponential function = \frac{2}{3}


solong [7]3 years ago
3 0

Answer:

B. \frac{2}{3}

Step-by-step explanation:

We have been given a table of values. We are asked to find the multiplicative rate of change of our given function.

Table:

x         y

1         6

2        4

3        8/3

4         16/9

We know that the multiplicative rate of change of a function is the number by which each next term of an exponential function is increasing or decreasing.

We can find multiplicative rate of change by dividing any term of the function by its previous term.

\text{Multiplicative rate of change}=\frac{4}{6}=\frac{2}{3}

\text{Multiplicative rate of change}=\frac{16}{9}\div\frac{8}{3}=\frac{16}{9}\times\frac{3}{8}=\frac{2}{3}

Therefore, the multiplicative rate of change of our given function is \frac{2}{3} and option B is the correct choice.

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How many pounds are equivalent to 192 ounces
soldi70 [24.7K]

Answer:

12 pounds

Step-by-step explanation:

there are 16 ounces in a pound, so 192 divided by 16, would be 12

therefore 192 ounces is equivalent to 12 pounds

7 0
3 years ago
(1 point) Suppose F⃗ (x,y)=⟨2y,−sin(y)⟩ and C is the circle of radius 3 centered at the origin oriented counterclockwise. (a) Fi
g100num [7]

Answer:

The required vector parametric equation is given as:

r(t) = <3cost, 3sint>

For 0 ≤ t ≤ 2π

Step-by-step explanation:

Given that

f(x, y) = <2y, -sin(y)>

Since C is a cirlce centered at the origin (0, 0), with radius r = 3, it takes the form

(x - 0)² + (y - 0)² = r²

Which is

x² + y² = 9

Because

cos²β + sin²β = 1

and we want to find a vector parametric equations r(t) for the circle C that starts at the point (3, 0), we can write

x = 3cosβ

y = 3sinβ

So that

x² + y² = 3²cos²β + 3²sin²β

= 9(cos²β + sin²β) = 9

That is

x² + y² = 9

The vector parametric equation r(t) is therefore given as

r(t) = <x(t), y(t)>

= <3cost, 3sint>

For 0 ≤ t ≤ 2π

8 0
3 years ago
Pls answer me this all question​
Scorpion4ik [409]

Answer:

a. 5 \frac{21}{40}

b. \frac{1}{42}

Step-by-step explanation:

a. \: 12 \frac{2}{5}  - 6 \frac{7}{8}

\frac{62}{5}  -  \frac{55}{8}

\frac{62}{8}  \times   \frac{8}{8}  -   \frac{55}{8}   \times  \frac{5}{5}

\frac{62 \times 8 - 55 \times 5}{40}

\frac{221}{40}

5 \frac{21}{40}

b. \:  \frac{3}{14}  -  \frac{4}{21}

\frac{3}{14}  \times  \frac{3}{3}  -  \frac{4}{21}  \times  \frac{2}{2}

\frac{3 \times 3}{42}  -  \frac{4 \times 2}{42}

\frac{1}{42}

Hope it is helpful....

5 0
3 years ago
Read 2 more answers
The figures below are made out of circles, semicircles, quarter circles, and a square. Find the area and the perimeter of each f
WITCHER [35]

Answer:

Part 1) A=36(\pi-2)\ cm^2

Part 2) P=6(\pi+2\sqrt{2})\ cm

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

Part 1) Find the area

we know that

The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle

so

A=\frac{1}{4}\pi r^{2}-\frac{1}{2}(b)(h)

we have that the base and the height of triangle is equal to the radius of the circle

r=12\ cm\\b=12\ cm\\h=12\ cm

substitute

A=\frac{1}{4}\pi (12)^{2}-\frac{1}{2}(12)(12)\\A=(36\pi-72)\ cm^2

simplify

Factor 36

A=36(\pi-2)\ cm^2

Part 2) Find the perimeter

The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle

The circumference of a quarter of circle is equal to

C=\frac{1}{4}(2\pi r)=\frac{1}{2}\pi r

substitute the given values

C=\frac{1}{2}\pi (12)\\C=6\pi\ cm

Applying the Pythagorean Theorem

The hypotenuse of right triangle is equal to

AC=\sqrt{12^2+12^2}\\AC=\sqrt{288}\ cm

simplify

AC=12\sqrt{2}\ cm

Find the perimeter

P=(6\pi+12\sqrt{2})\ cm

simplify

Factor 6

P=6(\pi+2\sqrt{2})\ cm

4 0
3 years ago
What is 18 x 9.24 step by step?
Tanzania [10]

Answer: 166.32

Step-by-step explanation: multiply 18 by 9 first. (162) then multiply the decimal numbers. Then at that to the previous product.

7 0
2 years ago
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