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2 years ago

3. A branch breaks off the top of a giant sequoia tree and falls straight to the ground. The branch's height in

Mathematics

1 answer:

Juliette [100K]2 years ago

4 0

Answer:

Its 4.3

Step-by-step explanation:

If you graph it, y is the height an t is the time. At a height of 0 it had been in the air for 4.3 seconds

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Mrs. Vance decided to buy dress shirts for her two sons. She bought her older son a blue shirt for $9.91, and she bought her you

AveGali [126]

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2 years ago

Read 2 more answers

) The density of oil in a circular oil slick on the surface of the ocean at a distance of r meters from the center of the slick

Feliz [49]

Answer:

Therefore the mass of the of the oil is 409.59 kg.

Step-by-step explanation:

Let us consider a circular disk. The inner radius of the disk be r and the outer diameter of the disk be (r+Δr).

The area of the disk

=The area of the outer circle - The area of the inner circle

= $\pi (r+\triangle r)^2- \pi r^2$

$=\pi [r^2+2r\triangle r+(\triangle r)^2-r^2]$

$=\pi [2r\triangle r+(\triangle r)^2]$

Since (Δr)² is very small, So it is ignorable.

∴ $A=2\pi r\triangle r$

The density $\delta (r)= \frac{40}{1+r^2}$

We know,

Mass= Area× density

$=(2r \pi \triangle r)(\frac{40}{1+r^2}})$

Total mass $M=\sum_{i=1}^n \frac{80r_i\pi }{1+r^2}\triangle r_i$

Therefore

$\sum_{i=1}^n \frac{80r_i\pi }{1+r^2}\triangle r_i=\int_0^5 \frac{80r\pi }{1+r^2}dr$

$=40\pi[ln(1+r^2)]_0^5$

$=40\pi [ln(1+5^2)-ln(1+0^2)]$

$=40\pi ln(26)$

= 409.59 kg (approx)

Therefore the mass of the of the oil is 409.59 kg.

3 0

2 years ago

What is the volume of the cylinder? Round to the nearest 10th.

nata0808 [166]

Answer:169.7

Step-by-step explanation:

To find the volume of a cylinder you can use the math formula πr^2H where r is the radius and H is the height. If you plug in the values you get π3^2(6) simplify 3^2 to get (9π)(6), you can multiply 9 by 6 to get 54 then multiply that by 3.1415 to get 169.65 which rounds to 169.7

6 0

3 years ago

A company has six employees.The salary of five of the employees are P2200,P1300,P800,P940 and P560.When the sixth employee is in

Dafna1 [17]

Answer:

First answer is 1200

Second answer is 900 for each new employee

Step-by-step explanation:

First answer:

2200+1300+800+940+560+x = 7000

5800+x = 7000 subtract 5800 from both sides and you get your answer

x = 1200

Second answer:

x = 900. Each of the two employees made 900 a month or 1800 a month for both of them.

To find the average we take the total salaries and divide by the number of people to find the average salary. In this case, we know the average and we know all of the salaries, but two. We can figure this out.

(7000 + 2x)/8 = 1100 multiple both sides by 8 to clear the fraction/

7000 +2x = 8800 Subtract both sides by 7000

2x = 1800 Divide both sides by 2

x = 900

3 0

2 years ago

1. Write a quadratic function, in standard form, that fits the set of points. Solve it as a system of three equations

sasho [114]

Answer:

The equation is $y=2x^2+4x-7$