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3 years ago

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When building a car, you can choose from 3 colors, 3 interiors, 3 sound systems, 3 kinds of tires, and 3 seat coverings. How man

y combinations are possible if you are making two distinct cars?

1 answer:

Verdich [7]3 years ago

5 0

There are 455 combinations possible

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Log3(7x) Use the Laws of Logarithms to expand the expression.

Bingel [31]

Log3(7) + log3(x)
Terms that are multiplied inside one log become added when you separate them where each term gets its own log.

7 0

3 years ago

Medical students compared two types of knee surgery to determine if patients were able to return to their active lifestyles. The

sweet [91]

Answer:

Option A

Step-by-step explanation:

The response variable is the dependent variable whose variation depends on other variables and in this case it is the type of surgery either total knee replacement or partial knee replacement.

While the explanatory variable which is the independent variable manipulated by the researcher for the given experimental study is the amount of activity the patients were able to do after their respective surgeries.

5 0

3 years ago

a crew workers paved 2/15 mile in 20 minutes. if they work at the same rate what portion of a mile will they pave in one hour?

ANEK [815]

Since 20 min is 1/3 of a mile 20 min*3=1 hour. then u multiply 2/5 by 3 to get 6/5.

6 0

3 years ago

What is the surface area of this composite solid?______________ square feet 242 319 363 517

jeka57 [31]

Answer:

<h2>The right answer is 415.4 cubic feet.</h2>

Step-by-step explanation:

As you can observe in the image attached, the composite figure is formed by a square prism and a pyramid on top.

We need to find the volum of each part separately.

<h3> Square prism.</h3>

$V_{prims}=11 \times 11 \times 2=242 \ ft^{3}$

<h3>Square pyramid.</h3>

First, we need to find the height of the pyramid. We already know the height of each triangular face of the pyramid, which divides equally the side.

Let's use Pythagorean's Theorem to find the height of the pyramid.

$7^{2}=h^{2} +(5.5)^{2}\\ 49-30.25=h^{2}\\ h=\sqrt{18.75} \approx 4.3$

The height is 4.3 feet, approximately.

Now, we find the volume of the pyramid

$V_{pyramid}=\frac{1}{3}(11 \times 11 \times 4.3) \approx 173.4ft^{3}$

The sum of both figures represents the total volume of the composite figure

$V_{total}=242+173.4=415.4ft^{3}$

Therefore, the right answer is 415.4 cubic feet.

3 0

3 years ago

Read 2 more answers

M^2 - 4m +8 = -21 <br> Solve the quadratic equation by completing the square

pshichka [43]

Answer:

m^2-4m=-29

m^2-4m+4=-29+4

(m-2)^2=-25

m=2+-5i

6 0

3 years ago