All categories

2 years ago

Which quantity is proportional to 40⁄8?

1 answer:

5 0

5

40/8 is 5. You can check this by multiplying 8 and 5 and seeing if it equals 40. Also, if you look at 40/8 as a fraction you can simplify it. 40/8=20/4=10/2=5/1=5

You might be interested in

Find the area of the region under the graph of f on [a, b].<br> f(x) = x2 − 8x + 17; [−1, 2]

Harman [31]

Answer:

The area is 42 area units.

Step-by-step explanation:

The area of a function f(x) on an interval [a,b] is given by:

$A = \int\limits^a_b {f(x)} \, dx$

Applying to this question:

$A = \int\limits^-1_2 {x^2 - 8x + 17} \, dx$

Then

$F(x) = \frac{x^{3}}{3} - 4x^{2} + 17x$

$A = F(2) - F(-1)$

$F(2) = frac{2^{3}}{3} - 4*2^{2} + 17*2 = \frac{8}{3} + 18 = \frac{8 + 3*18}{3} = \frac{62}[3}$

$F(-1) = frac{(-1)^{3}}{3} - 4*(-1)^{2} + 17*(-1) = -\frac{1}{3} - 21 = \frac{-1 - 21*3}{3} = -\frac{64}[3}$

$A = F(2) - F(-1) = \frac{62}[3} - (-\frac{64}[3}) = \frac{62+64}{3} = 42$

The area is 42 area units.

5 0

2 years ago

Simplify the expression<br><br>cot^2x - cot^2x cos^2x

andrew-mc [135]

Cot^2x - cot^2x cos^2x
= cot^2x - {(cot^2x)(cos^2x)}
= cot^2x { 1 - cos^2x }
= cot^2x { sin^2x }
= (cos^2x/sin^2x) { sin^2x }
= cos^2x

8 0

2 years ago

Math test! i need help!

FrozenT [24]

Answer:

First option

Step-by-step explanation:

Have a nice day

8 0

2 years ago

For a ride on a rental scooter, John paid an $8 fee to start the scooter plus 6 cents per minute of the ride. The total bill for

enot [183]

The linear equation is $8+0.06x=19.94$ and John rode the scooter for $199$ minutes.

Fee to start the scooter $=$ $ $8$ .

Fee to ride per minute $= 6$ cents $=$ $ $0.06$ .

Total bill $=$ $ $19.94$ .

Let $x$ be the minutes for which he rides the scooter.

The linear equation is formed as:

$8+0.06x=19.94$

$0.06x=19.94-8$

$0.06x=11.94$

$x=199$ minutes.

So, John rode the scooter for $199$ minutes.

Learn more about linear equation here:

brainly.com/question/24794429?referrer=searchResults

5 0

1 year ago

Read 2 more answers

A dog is leashed to the corner of a house. How much running area does the dog have? Round answer to the nearest square foot, if

sashaice [31]

Answer:

942 ft²

Step-by-step explanation:

The diagram shows the area to be 3/4 of that of a circle of radius 20 ft. The area of a circle is given by ...

A = πr² = π(20 ft)² = 400π ft²

Then 3/4 of that area is ...

dog run = (3/4)(400π ft²) = 300π ft² ≈ 942.48 ft²

The area of the dog's run is about 942 ft².

3 0

3 years ago