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Amiraneli [1.4K]
3 years ago
5

Jamie can jog miles in 20 minutes. What is her average speed in miles per hour?

Mathematics
2 answers:
lilavasa [31]3 years ago
5 0

Divide the total distance traveled by the total time spent traveling. This will give you your average speed

Mademuasel [1]3 years ago
3 0

Step-by-step explanation:

Divide the total distance traveled by the total time spent traveling. This will give you your average speed. . So if Ben traveled 150 miles in 3 hours, 120 miles in 2 hours, and 70 miles in 1 hour, his average speed was about 57 mph.

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At a sand and gravel plant, sand is falling off a conveyor, and onto a conical pile at a rate of 10 cubic feet per minute. The d
kherson [118]

Answer:

dh/dt=9.82x10^-3 ft/min

Step-by-step explanation:

1. You have that the rate is10 ft³/min. Then:

dV/dt=10

2. The formula for calculate the volume of a cone, is:

V=1/3(πr²h)

"r" is the radius and "h" is the height.

3. The diameter of the base of the cone is approximately 3 times the altitude. Then, the radius is:

r=diameter/2

diameter=3h

r=3h/2

4. When you susbstitute r=3h/2 into the formula V=πr²h/3, you have:

V=1/3(πr²h)

V=1/3(π(3h/2)²(h)

V=1/3(π9h²/4)(h)

V=9πh³/12

5. Therefore:

dV/dt=(9πh²/4)dh/dt

h=12

dV/dt=10

6. When you substitute the values of dV/dt and h into dV/dt=(9π(12)²/4)dh/dt, you have:

dV/dt=(9π(12)²/4)dh/dt

10=(1017.876)

7. Finally, you obtain:

dh/dt=10/1017.876

dh/dt=9.82x10^-3 ft/min

5 0
3 years ago
The diameter of a circle is 14cm. Which TWO statements are correct?<br><br> A
Reika [66]

Answer:

(a) and (e)

Step-by-step explanation:

Given

d = 14cm

Required

Select the true statements

First, is a statement about the area.

The area is calculated as:

Area= \pi*\frac{d^2}{4}

So, we have:

Area= 3.14*\frac{14^2}{4}

Area= 3.14*49

(a) is true

Next, is a statement about the circumference.

This is calculated as:

C = \pi d

So, we have:

C = 3.14 * 14

(e) is true

3 0
2 years ago
1. Solve the system by using a table. 3y=4x+7 , -4x-4y=28. These are the possible solutions: A) (–4, –3), B) (–3, –4), C) (4, 3)
melisa1 [442]
<span>The first question:
3y=4x+7            (1)
-4x-4y=28          (2)

Let's plug in x = -4, -3, 3, and 4 and see the y-values :)

I have attached the table since it's hard to make a table with text :P
As you can see, when x = -4, that is when the y-values are equal. That means that is the solution to the system of equations. Your answer is A) (-4, -3).

The second question:
</span><span>-3x-y=-10    (1)
4x-4y=8       (2)
</span>
When you graph both equations, you will see that they intersect at D) (3, 1).

The third question:
We need to find the lines for revenues and expenses. 
To find the line for revenues, make months the x-value and revenues the y-values. And find the equation. You should get y = 4,100x + 300.
To find the line for expenses, make months the x-value and expenses the y-values. And find the equation. You should get y = 1,900x + 19,990.

Now graph both solutions and see where they intersect. They intersect at approximately (8.95, 36995)

That would be during the month of C) August.

4 0
3 years ago
Read 2 more answers
Zoom in to see more clear :)
algol13

Answer:

1) x=30 degrees

2)y=20 degrees

1) 3x+2x+1x= 6x (a triangle is normally 180 degrees) 180 divide 6=30 (this is because 6 Xs make up the triangle)

2) 2y+5y+5+y+15= 8y+20, (since a triangle has 180 degrees) 8y+20=180 (-20 from both sides) 8y=160, 160 divide 8=20

(I hope this makes sense)

5 0
3 years ago
Find the value of x: 7e(×/3)=14
velikii [3]
<span>7e^(×/3)=14
</span><span>e^(×/3)=14/7
</span>e^(×/3)=2
take ln of both sides;
lne^(×/3)=ln2
****You should be familiar that lne^x=x as ln is the inverse function of e and vice versa****
then;
x/3=ln2
x=3ln2
x approximately is equal to 2.1
6 0
3 years ago
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