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emmainna [20.7K]
3 years ago
6

Angie bought 312 pounds of apples to make a pie. There are 16 ounces in one pound. How many ounces of apples did she buy?

Mathematics
1 answer:
ruslelena [56]3 years ago
5 0

Answer:4992

Step-by-step explanation:

Multiple 312 by 16

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2/5+x=1 What equals x?
kolbaska11 [484]

Answer:

Step-by-step explanation:

2/5 + x = 1

Multiply each term by 5

2 + 5x = 5

5x = 5 - 2

5x = 3

x = 3/5

8 0
3 years ago
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How do you find the value of c that satisfy the equation:
victus00 [196]

Answer:

The value of c = -0.5∈ (-1,0)

Step-by-step explanation:

<u>Step(i)</u>:-

Given function f(x) = 4x² +4x -3 on the interval [-1 ,0]

<u> Mean Value theorem</u>

Let 'f' be continuous on [a ,b] and differentiable on (a ,b). The there exists a Point 'c' in (a ,b) such that

f^{l} (c)  = \frac{f(b) -f(a)}{b-a}

<u>Step(ii):</u>-

Given  f(x) = 4x² +4x -3 …(i)

Differentiating equation (i) with respective to 'x'

          f¹(x) = 4(2x) +4(1) = 8x+4

<u>Step(iii)</u>:-

By using mean value theorem

f^{l} (c)  = \frac{f(0) -f(-1)}{0-(-1)}

8c+4 = \frac{-3-(4(-1)^2+4(-1)-3)}{0-(-1)}

8c+4 = -3-(-3)

8c+4 = 0

8c = -4

c = \frac{-4}{8} = \frac{-1}{2} = -0.5

c ∈ (-1,0)

<u>Conclusion</u>:-

The value of c = -0.5∈ (-1,0)

         

<u></u>

8 0
3 years ago
Two hundred students are going to dine with the principal as their reward for perfect attendance. A random survey of 25 of these
Karolina [17]

Answer:

D

Step-by-step explanation:

8 0
2 years ago
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Find the slope given the two points
TEA [102]

Answer:

15. -2  16. 0  17. undefined

Step-by-step explanation:

Slope of two points can be calculated by (y change) / (x change).

(y1 - y2) / (x1 - x2)

15)  (1-5) / (4-2) = -2

16)  (6-6) / (1-10) = 0 since y change is 0.

17) (-5-3) / (4-4) = undefined since x change is 0 but you cannot devide by 0.

8 0
3 years ago
The diameter of the base of the cone measures 8 units.
kati45 [8]

Answer:   32\pi cubic units.

Step-by-step explanation:

You can use this formula for calculate the volume of a cone:

V_{cone}=\frac{1}{3}\pi r^2h

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

You know that the diameter of the base of the cone measures 8 units, then, the radius can be found by dividing the diameter by 2:

r=\frac{8units}{2}\\\\r=4units

Since you already know that height and  the radius, you can substitute them into the formula. Then, the volume of this cone is:

V_{cone}=\frac{1}{3}\pi (4units)^2(6units)

V_{cone}=32\pi \ units^3

8 0
2 years ago
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