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3 years ago

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The total amount of Keira's cell phone bill, b, varies directly with the number of text messages she sends, m. Which of the foll

owing equations best models the amount of money Keira must pay for her cell phone bill?

1 answer:

nataly862011 [7]3 years ago

6 0

Pls list the equation options so we can give you an answer

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Which could be the first step in simplifying this expression? Check all that apply. (x cubed x Superscript negative 6 Baseline)

PtichkaEL [24]

Answer:

$(x^{-3} )^{2}$

$x^6 x^{-12}$

Step-by-step explanation:

$(x^{3} x^{-6} )^{2}$ is the expression given to be solved.

First of all let us have a look at <u>3 formulas</u>:

$1.\ p^a \times p^b = p^{(a+b)}\\2.\ (p^a \times q^b)^c = (p^{a})^c \times (q^{b})^c\\3.\ (p^a)^b = p^{a\times b}$

Both the formula can be applied to the expression( $(x^{3} x^{-6} )^{2}$ ) during the first step while solving it.

<u>Applying formula (1):</u>

$(x^{3} x^{-6} )^{2}$

Comparing the terms of $(x^{3} x^{-6} )$ with $p^a \times p^b$

$p=x, a =3, b=-6$

$\Rightarrow x^{3+(-6)}\\\Rightarrow x^{3-6}\\\Rightarrow x^{-3}$

So, $(x^{3} x^{-6} )^{2}$ is reduced to $(x^{-3} )^{2}$

<u>Applying formula (2):</u>

Comparing the terms of $(x^{3} x^{-6} )^{2}$ with $(p^a \times q^b)^c$

$p=q=x, a =3, b=-6, c=2$

$\Rightarrow (x^{3})^2\times (x^{-6})^2\\\text{Applying Formula (3)}\\x^6 x^{-12}$

So, $(x^{3} x^{-6} )^{2}$ is reduced to $x^6 x^{-12}$ .

So, the answers can be:

$(x^{-3} )^{2}$

$x^6 x^{-12}$

8 0

3 years ago

The gas tank of a 2013 Honda Accord holds 17.2 gallons. How many pounds of carbon dioxide are produced by

Murrr4er [49]

First you need to know how many pounds of carbon dioxide you get when burning 1 gallon of gasoline. That number is 19.64 pounds

To get the number of pounds released when entire tank is burned you need to multiply gas tank volume and number of pounds you get when 1 gallon is burned.

17.2 * 19.64 = 337.808

5 0

3 years ago

Ryan can paint a fence in ten hours. Asanji

kumpel [21]

Answer:9

Step-by-step explanation:

I looked up the average and it said 9.

Good luck on the rest of quarantine homework! :D

Mark brainliest if u want. ONLY if u want :D

5 0

3 years ago

An isosceles triangle △ABC with the base BC is inscribed in a circle. Find the measures of angles of the triangle, if measure of

____ [38]

Answer:

angle at A: 51°
base angles: 64.5°

Step-by-step explanation:

The measure of the inscribed angle BAC is half the measure of the intercepted arc BC, so is 102°/2 = 51°.

The base angles at B and C are the complement of half this value, or ...

90° -(51°/2) = 64.5°

The angle measures in the triangle are ...

∠A = 51°

∠B = ∠C = 64.5°

6 0

3 years ago

Who could help me please and thank you

rodikova [14]

I think it should be A

3 0

3 years ago

Read 2 more answers