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g100num [7]
3 years ago
10

What number must you add to complete the square? x2 + 4x = 15 A. 16 B. 4 C. 2 D. 8

Mathematics
1 answer:
Scilla [17]3 years ago
8 0
B. 4 because 4/2=2, 2 squared is 4
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Jackrabbits are capable of reaching speeds up to 40 mph. How fast is this in feet per second? (Round to the nearest whole number
Lerok [7]
Keeping in mind that there are 5280 ft in 1 mile, and there are 60 minutes in 1 hr and 60 seconds in 1 minute, therefore 60*60 seconds in 1 hr, or 3600 seconds, then.

\bf \cfrac{40\underline{mi}}{\underline{hr}}\cdot \cfrac{5280ft}{\underline{mi}}\cdot \cfrac{\underline{hr}}{3600s}\implies \cfrac{40\cdot 5280}{3600}\cfrac{ft}{s}\implies \cfrac{176}{3}\implies 58.\overline{66}\frac{ft}{s}
7 0
3 years ago
One-fifth of the sum of 7 and b minus the product of 4 and m​
deff fn [24]

Answer:

7/5 + b/5 - 4m

Step-by-step explanation:

(1/5)(7 + b) - (4)(m) = 7/5 + b/5 - 4m

4 0
3 years ago
A company sells widgets. The amount of profit, y, made by the
vfiekz [6]

Answer:

846.06 units

Step-by-step explanation:

The amount of profit, y, made by the  company, is related to the selling price of each widget, x, by the given  equation as follows :

y = -4x^2 + 183x- 1247 ...(1)

We need to find out the maximum amount of profit  the company can make.

For maximum profit put dy/dx = 0

So,

\dfrac{d}{dx}(-4x^2 + 183x- 1247)=0\\\\-8x+183=0\\\\x=\dfrac{183}{8}\\\\x=22.87

Put x = 22.87 in equation (1). So,

y = -4(22.87)^2 + 183(22.87)- 1247\\\\=846.06

So, the maximum profit is 846.06 units.

4 0
3 years ago
Which of the following are true statements about any regular polygon? Check all that apply. A. all of it's angles measure 90 deg
dmitriy555 [2]

Answer:

B,E,F

Step-by-step explanation:

7 0
3 years ago
Plsss help (Cuz i'm dumb:D) Calculate the surface area of the prism below, shape below
marin [14]
Surface area of the the rectangles:
8 * 5 + 8 * 4 + 8 * 3 = 96

Surface area of the two triangles:
Use bh/2 base time height over 2
(4 * 3)/2 = 6
There are 2 triangles, 2 * 6 = 12

12 + 96 = 108
5 0
3 years ago
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