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2 years ago

Please Help! Will Give Brainliest :]

Mathematics

1 answer:

Goryan [66]2 years ago

4 0

Applying precedence of operations, the missing expressions are given as follows:

a) Step 2: $\left(\frac{8^2 + 2}{0.5}\right)$ - 12.4/4.

b) Step 6: 132 - 3.1.

<h3>What is the precedence of operations?</h3>

The precedence of operations is defined according to the PEMDAS acronym, with the meaning of each letter being given as follows:

P: Parenthesis.

E: Exponents.

M: Multiplication.

D: Division. (same precedence as multiplication, hence it depends on which operation appears first).

A: Addition.

S: Subtraction. (same precedence as addition, hence it depends on which operation appears first).

In Step 2, the absolute value operation is interpreted as a parenthesis, hence having a higher precedence over the exponent 8², then the expression is given by:

$\left(\frac{8^2 + 2}{0.5}\right)$ - 12.4/4.

In Step 6, the division of 12.4 by 4, with a result of 3.1, has a higher precedence than the subtraction, hence the expression is given as follows:

132 - 3.1.

More can be learned about precedence of operations at brainly.com/question/550188

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The volume of a sphere is decreasing at a constant rate of 9988 cubic centimeters per minute. At the instant when the volume of

Inessa05 [86]

Using implicit differentiation, it is found that the rate of change of the surface area of the sphere -2201.293 square centimeters per second.

<h3>What is the volume of a sphere?</h3>

The volume of a sphere, of radius r, is given by:

$V = \frac{4\pi r^3}{3}$

<h3>What is the surface area of a sphere?</h3>

The surface area of a sphere, of radius r, is given by:

$S = 4\pi r^2$

<h3>What is the rate of change?</h3>

Applying <em>implicit differentiation</em>, the rate of change of both the volume and the surface area can be found, as follows:

$\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}$

$\frac{dS}{dt} = 8\pi r\frac{dr}{dt}$

Volume of 3131 cubic centimeters, hence:

$V = \frac{4\pi r^3}{3}$

$\frac{4\pi r^3}{3} = 3131$

$4\pi r^3 = 3(3131)$

$r = \sqrt[3]{\frac{3(3131)}{4\pi}}$

$r = 9.0754$

The volume of a sphere is decreasing at a constant rate of 9988 cubic centimeters per minute, hence:

$\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}$

$-9988 = 4\pi (9.0754)^2\frac{dr}{dt}$

$\frac{dr}{dt} = -\frac{9988}{4\pi (9.0754)^2}$

$\frac{dr}{dt} = -9.651$

Then, the <u>rate of change of the surface area</u> of the sphere is given by:

$\frac{dS}{dt} = 8\pi (9.0754)(-9.651) = -2201.293$

The rate of change of the surface area of the sphere -2201.293 square centimeters per second.

To learn more about implicit differentiation, you can take a look at brainly.com/question/25608353

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3 years ago

1. At the school bookstore, Harrison purchases 3 notebooks for $2.50 each, 10 pens for $0.35 each, and 5 mechanical pencils for

Artemon [7]

Find cost of pens and mechanical pencils

pen cost=number of pens times cost pe pen
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mech cost=number of mechs times cost pe mech
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4.45 is more than 3.50
yes, mech cost mre than pens

8 0

3 years ago

Factor completely, then place the answer in the proper location on the grid. 6x ^2 - 3x - 30

seraphim [82]

Factor out the GCF first
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3(2x - 5)(x + 2)

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4 years ago

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tangare [24]

Answer:

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Is your question written correctly? Just making sure.

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4 years ago