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4 years ago

Unit Activity: Advanced Functions

Mathematics

1 answer:

Cloud [144]4 years ago

7 0

See attached file for the solution/explanation to the 12 questions.

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N 12. Find the volume of the sphere.

S_A_V [24]

Answer:

2929 1/3 $\pi$ in^3

Step-by-step explanation:

The equation for the volume of a sphere is $\frac{4}{3} \pi r^3$ .

Insert 13 for r. Then, simplify.

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2 years ago

Write this number in a scientific notation 36,300,000

ZanzabumX [31]

Answer:

Step-by-step explanation:

Move the decimal place over 7 places to the left which means adding to the exponent.

3.63 x 10^7

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3 years ago

Read 2 more answers

A flatbed truck travels 144 miles in 5 hours. A semi-trailer truck travels 327 miles in 4 hours. A tanker truck travels 589 mile

GenaCL600 [577]

Answer:

The semi-trailer truck has the fastest average speed

Step-by-step explanation:

Let's recall that the formula of the average speed is:

Average speed = Distance/Speed

Now, we can calculate the average speed for each class of vehicle, as follows:

Flatbed truck average speed = 144/5 = 28.8 miles per hour

Semi-trailer truck average speed = 327/4 = 81.75 miles per hour

Tanker truck average speed = 589/15 = 39.27 miles per hour

Which truck has the fastest average speed?

The semi-trailer truck has the fastest average speed

4 0

3 years ago

A line passes through point A (14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-

seropon [69]

Answer:

The equation of the line in point-slope form is $y-21 = - \frac{3}{2}\cdot (x-14)$ .

Step-by-step explanation:

According to the statement, let $A(x,y) = (14,21)$ and $B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A})$ . The equation of the line in point-slope form is defined by the following formula:

$y-y_{A} = m\cdot (x-x_{A})$ (1)

Where:

$x_{A}$ , $y_{A}$ - Coordinates of the point A, dimensionless.

$m$ - Slope, dimensionless.

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

In addition, the slope of the line is defined by:

$m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}$ (2)

If we know that $x_{A} = 14$ and $y_{A} = 21$ , then the equation of the line in point-slope form is:

$x_{B} = 1.25\cdot (14)$

$x_{B} = 17.5$

$y_{B} = 0.75\cdot (21)$

$y_{B} = 15.75$

From (2):

$m = \frac{15.75-21}{17.5-14}$

$m = -\frac{3}{2}$

By (1):

$y-21 = - \frac{3}{2}\cdot (x-14)$

The equation of the line in point-slope form is $y-21 = - \frac{3}{2}\cdot (x-14)$ .

5 0

3 years ago

What is the inequality of -1/12 ≥6

klasskru [66]

The inequality of -1/12 >6 is 2

3 0

3 years ago