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3 years ago

Answer, please. I need help.

Mathematics

2 answers:

abruzzese [7]3 years ago

8 0

Answer:

1/ b^4

Step-by-step explanation:

because -7 +3 = -4 but it can only be positive. So you but the -4 to the bottom to become b^4

ExtremeBDS [4]3 years ago

4 0

Answer:

Step-by-step explanation:

$\text{rule }(x^a)(x^b)=x^{(a+b)}\\ \\ (b^{-7})(b^3)=b^{(-7+3)}\\ \\ b^{-4}=\frac{1}{b^4}$

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An animal shelter has a ratio of cats to dogs that is 9:7.

erma4kov [3.2K]

So to find the total animals you have to add both the cats and dogs so 16 and the dogs is 7 so 16/7

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3 years ago

How would I plot this?

____ [38]

Answer:

Step-by-step explanation:

As the center of dilation is A, it does not change.

As A is the origin, B is (12, 4)

So B' will be (12/4, 4/4) = (3, 1)

Or from A move 3 right and 1 up

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So C' will be (8/4, -8/4) = (2, -2)

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3 years ago

What is the sum to 'n' terms of the series √5,√20,√45,√80,.....?

Yakvenalex [24]

Answer:

Sₙ = √5/2 n (n + 1)

Step-by-step explanation:

Given AP:

√5,√20,√45,√80,...

Rewriting as:

√5,√4*5,√9*5,√16*5,...
√5, 2√5, 3√5, 4√5,..., n√5

Common difference:

d= 2√5 - √5 = √5

Sum of n terms:

Sₙ = 1/2n (a₁ + aₙ) =
1/2n (√5 + √5 + (n-1)√5) =
1/2n (n + 1)√5=
√5/2 n (n + 1)

Sₙ = √5/2 n (n + 1)

7 0

4 years ago

Find the volume of the cone. Round your answer to the nearest tenth. 8 m 8 m

Alexxandr [17]

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Step-by-step explanation:

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3 years ago

Differentiating Functions of Other Bases In Exercise, find the derivative of the function.

aniked [119]

Answer:

$\dfrac{dy}{dx} = \frac{2x-3}{\ln 16(x^2 - 3x)}$

Step-by-step explanation:

We are given the following in the question:

$y = \ln {16}(x^2 - 3x)$

We have to find the derivative of the given expression.

$y = \ln 16(x^2 - 3x)\\\text{Using the log propert}\\\\\log_a b = \dfrac{\log b}{\log a}\\\\dfrac{d(x^n)}{dx} = nx^{n-1}\\\\\dfrac{d(\log x)}{dx} = \dfrac{1}{x}\\\\\text{\bold{Differentiating we get}}\\\\\displaystyle\frac{dy}{dx} = \frac{d(\ln 16(x^2-3x))}{dx}\\\\= \frac{1}{16(x^2-3x)})\frac{d(x^2-3x)}{dx}\\\\=\frac{1}{\log 16(x^2-3x)}(2x - 3)\\\\= \frac{2x-3}{\ln 16(x^2 - 3x)}$

$\dfrac{dy}{dx} = \frac{2x-3}{\ln 16(x^2 - 3x)}$

7 0

4 years ago