All categories

2 years ago

Hayley and Tyler are on the cross-country team. Tyler can run 1 mile (at a

Mathematics

1 answer:

ANTONII [103]2 years ago

7 0

The person who ran farther is Hayley.

<h3>Who ran farther?</h3>

Average speed is the total distance travelled per time.

Average speed = total distance / total time

Tyler's average speed = 1 / 8.30 seconds = 0.12 miles per minute

The distance covered by Tyler in 10 minutes = 0.12 x 10 = 1.2 miles

Distance covered by Hayley in 10 minutes : 10 = 8x

x = 10 / 8 = 1.25 miles

To learn more about average speed, please check: brainly.com/question/21734785

#SPJ1

You might be interested in

Nitella [24]

Since profit can't be negative, the production level that'll maximize profit is approximately equal to 220.

<h3>How to find the production level that'll maximize profit?</h3>

The cost function, C(x) is given by 12000 + 400x − 2.6x² + 0.004x³ while the demand function, P(x) is given by 1600 − 8x.

Next, we would differentiate the cost function, C(x) to derive the marginal cost:

C(x) = 12000 + 400x − 2.6x² + 0.004x³

C'(x) = 400 − 5.2x + 0.012x².

Also, revenue, R(x) = x × P(x)

Revenue, R(x) = x(1600 − 8x)

Revenue, R(x) = 1600x − 8x²

Next, we would differentiate the revenue function to derive the marginal revenue:

R'(x) = 1600 - 8x

At maximum profit, the marginal revenue is equal to the marginal cost:

1600 - 8x = 400 − 5.2x + 0.012x

1600 - 8x - 400 + 5.2x - 0.012x² = 0

1200 - 2.8x - 0.012x² = 0

0.012x² + 2.8x - 1200 = 0

Solving by using the quadratic equation, we have:

x = 220.40 or x = -453.73.

Since profit can't be negative, the production level that'll maximize profit is approximately equal to 220.

Read more on maximized profit here: brainly.com/question/13800671

#SPJ1

6 0

2 years ago

Choose the best answer:

Oksi-84 [34.3K]

Answer:

The length of the hypotenuse is 2 square root of 13 ⇒ c

Step-by-step explanation:

The rule of the area of the right triangle is A = $\frac{1}{2}$ × leg1 × leg2, where

leg1 and leg2 are the sides of the right angle

∵ The area of a right triangle is 12 in²

∵ The ratio of the length of its legs is 2: 3

→ Let leg1 = 2x and leg2 = 3x

∵ leg1 = 2x and leg2 = 3x

→ Substitute them in the rule of the area above

∴ 12 = $\frac{1}{2}$ × 2x × 3x

∵ 2x × 3x = 6x²

∴ 12 = $\frac{1}{2}$ × 6x²

∴ 12 = 3x²

→ Divide both sides by 3 to find x²

∴ 4 = x²

→ Take √ for both sides

∴ x = 2

→ Substitute x in the expressions of leg1 and leg2 to find them

∴ leg1 = 2(2) = 4 inches

∴ leg2 = 3(2) = 6 inches

∵ hypotenuse = $\sqrt{(leg1)^{2}+(leg2)^{2}}$

∴ hypotenuse = $\sqrt{(4)^{2}+(6)^{2}}=\sqrt{16+36}=\sqrt{52}$

∵ The simplest form of $\sqrt{52}$ = 2 $\sqrt{13}$

∴ The length of the hypotenuse = 2 $\sqrt{13}$ inches

3 0

2 years ago

Please help me i will mark you brainliest

kozerog [31]

Answer:

it will be c

Step-by-step explanation:

4 0

3 years ago

Help w this also! please<3

jolli1 [7]

Answer:

equation for line: y = 5/3x -7/3

Step-by-step explanation:

The equation for a linear line is y = mx + c. m is the gradient of the line, also known as slope. So, m = 5/3.

Next we need to find c. Since we know a point the line must intersect, we can sub this into our line equation to get an answer:

(2,1) x=2,y=1

1 = 5/3*2 + c

1 = 10/3 + c

1 - 10/3 = c

3/3 - 10/3 = c

-7/3 = c

The final eqaution of the line is: y = 5/3x -7/3

7 0

3 years ago

Plz help me, it's urgent

antiseptic1488 [7]

The answer is this!

6 0

2 years ago