Can I get some help on 3-5 please I don't understand how to do this :']

Mathematics

1 answer:

elena-s [515]3 years ago

7 0

The equation on number 3 is showing that Henry hikes 0.5 miles per hour, with x = number of hours. The graph shows that Clark hikes 15 miles in 10 hours, or 1.5 miles per hour. Clark is faster because of the reasons listed above.

Problem 4 is strange because it has a different value from x = 1 to x = 4 than it does for x = 5 and above, but my best guess would be a piecewise function:
If x < or equal to 4, 15x. If x > 4, 10 × (x - 4) + 60.

Problem 5 is much simpler: because x goes up 16 every time y goes up 6, 6/16 × x or (6/16)x.

You might be interested in

Formulas that may be useful relative to a sphere: V = 43πr3 and SA = 4πr2

Tasya [4]

Finding the radius from it's surface area, the volume of the sphere is of 268.08 cm³.

<h3>What are the surface area and the volume of an sphere?</h3>

For an sphere of radius r, we have that the surface area is given by:

$S = 4\pi r^2$

The volume is given by:

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

Considering the surface area of 200.96 cm², the radius is given by:

$S = 4\pi r^2$

$200.96 = 4\pi r^2$

$r = \sqrt{\frac{200.96}{4\pi}}$

r = 4 cm

Hence the volume is given by:

$V = \frac{4\pi \times 4^3}{3} = 268.08 \text{cm}^3$

More can be learned about the volume of an sphere at brainly.com/question/25608353

#SPJ1

6 0

2 years ago

karen deposited $8500 in a college savings account for her grandson. the account earns an annual simple interest rate of 6.5%. h

Umnica [9.8K]

8500 x 6.5 x 10 + 8500 =
8500 x 6.5 + 8500 =
8500 x 6.5/100 + 8500 =
8500 x 13/20 + 8500 =
110500/20 + 8500 =
5525 + 8500 =
14025

3 0

3 years ago

4. A local DVD rental machine rents

Mrrafil [7]

It takes 16 movie rentals for both options to be the same price

<u>Solution:</u>

Given that, A local DVD rental machine rents movies out to customers for $5.75 per movie.

A digital movie company allows you to rent movies for $3.25 but requires a membership fee of $40.

We have to find how many movie rentals will it take for both options to be the same price?

Now, let the number of movies rented be "n"

Then, according to the given information,

$\begin{array}{l}{5.75 \times n=3.25 \times n+40} \\\\ {5.75 n=3.25 n+40} \\\\ {5.75 n-3.25 n=40} \\\\ {2.50 n=40} \\\\ {n=\frac{40}{2.5}=16}\end{array}$