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3 years ago

I will give you 10B points plus mark someone again for the Brainliest if you get this right.

Mathematics

2 answers:

Musya8 [376]3 years ago

8 0

Answer:

Option D is the correct answer

Step-by-step explanation:

$(3 {m}^{ - 4} )^{3} (3 {m}^{5} ) \\ \\ = {3}^{3} {m}^{ - 4 \times 3} \times 3 {m}^{5} \\ \\ = 27 \times 3 \times {m}^{ - 12 + 5} \\ \\ = 81 {m}^{ - 7} \\ \\ = \frac{81}{ {m}^{7} }$

Ganezh [65]3 years ago

6 0

Answer:

the correct answer is D

Step-by-step explanation:

distribute the exponent on the left to get the expression ((3^3)(m^-12))(3(m^5))

bring the negative exponent to the denominator to get (3^4)(m^5)/(m^12)

subtract the exponents of m to get an answer of 81/(m^7)

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Ilia_Sergeevich [38]

Answer: A. $A'(t)=\frac{4356\pi}{(t+11)^{3}}-\frac{527076\pi}{(t+11)^{5}}$

B. A'(5) = 1.76 cm/s

Step-by-step explanation: Rate of change measures the slope of a curve at a certain instant, therefore, rate is the derivative.

A. Area of a circle is given by

$A=\pi.r^{2}$

So to find the rate of the area:

$\frac{dA}{dt}=\frac{dA}{dr}.\frac{dr}{dt}$

$\frac{dA}{dr} =2.\pi.r$

Using $r(t)=3-\frac{363}{(t+11)^{2}}$

$\frac{dr}{dt}=\frac{726}{(t+11)^{3}}$

Then

$\frac{dA}{dt}=2.\pi.r.[\frac{726}{(t+11)^{3}}]$

$\frac{dA}{dt}=2.\pi.[3-\frac{363}{(t+11)^{2}}].\frac{726}{(t+11)^{3}}$

Multipying and simplifying:

$\frac{dA}{dt}=\frac{4356\pi}{(t+11)^{3}} -\frac{527076\pi}{(t+11)^{5}}$

The rate at which the area is increasing is given by expression $A'(t)=\frac{4356\pi}{(t+11)^{3}} -\frac{527076\pi}{(t+11)^{5}}$ .

B. At t = 5, rate is:

$A'(5)=\frac{4356\pi}{(5+11)^{3}} -\frac{527076\pi}{(5+11)^{5}}$

$A'(5)=\frac{4356\pi}{4096} -\frac{527076\pi}{1048576}$

$A'(5)=\frac{2408693760\pi}{4294967296}$

$A'(5)=1.76268$

At 5 seconds, the area is expanded at a rate of 1.76 cm/s.

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2 years ago

Ugh geez can ANYONE help with 2 questions????????????

just olya [345]

What's the 2 question

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3 years ago

A figure is made from 8 unit blocks. It is 3 units tall. What is the maximum length the figure could be? Explain.

nadezda [96]

The maximum length is 5 . The 3 tall takes away from the 8 and then your left with 5.

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3 years ago

1. Kelly has a rock garden with a length of 6 feet. She constructs a scale model of the rock garden using the scale 1 inch:2 fee

alexandr1967 [171]

Answer:

(a) 3 inches

(b) Her scale model drawing WILL fit on the piece of paper 8.5 by 7 inches

Step-by-step explanation:

Scaling

We use scales to represent realities in reduced spaces. In the case of lengths or surfaces, the scale allows us to draw the shapes in normal sheets of paper.

(a)

Kelly's rock garden has a length of 6 feet. She uses a 1 inch:2 feet scale. this means that the model length is

6 feet*1 inch/2 feet = 3 inches

(b)

The width of the model is 5 inches, keeping the same scale it means the real length is

5 inches * 2 feet / 1 inch = 10 feet

The model will have 3 inches by 5 inches, it perfectly fits on any regular piece of paper

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3 years ago

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Neko [114]

Answer:B

Step-by-step explanation: I took the test already trust me it is correct

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