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Arlecino [84]
3 years ago
12

Sung-Hi is filling a sandbox with sand at the rate shown in the table below. which statement must be true regarding the linear f

unction that represents this situation?

Mathematics
2 answers:
diamong [38]3 years ago
6 0

Answer:

4th one is correct!

Step-by-step explanation:

The rate of change must be 20 pounds per minute

since every minute there's 20 more pounds. Hope this helps!

lana66690 [7]3 years ago
3 0

Answer:

D. The rate of change must be 20 pounds per minute.

Step-by-step explanation:

At time 0, the amount of sand is 200 lb. Time zero is when it starts, so it is also called the initial time. The initial value is 200 lb, so choices A and B are wrong.

Now look at the difference from time 0 minutes to time 1 minute. The amount of sand went from 200 lb to 220 lb. The amount of sand placed in 1 minute is 20 lb, so the rate of change is 20 lb per minute. That makes choice C wrong and choice D correct.

Answer: D. The rate of change must be 20 pounds per minute.

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5 times the complement of an angle is 15 more than two times the supplement of the angle. Find the angle,
USPshnik [31]

Answer:

The angle measures 25°; the complement measures 65°; the supplement measures 155°.

Step-by-step explanation:

The sum of the measures of two complementary angles is 90.

If the angles measure x and y, then x + y = 90.

Given angle x, then y = 90 - x.

The sum of the measures of two supplementary angles is 180.

If the angles measure x and y, then x + y = 180.

Given angle x, then y = 180 - x.

Let the angle be x.

Its complement is 90 - x.

Its supplement is 180 - x.

5(90 - x) = 2(180 - x) + 15

450 - 5x = 360 - 2x + 15

-3x = -75

Angle: x = 25

Complement: 90 - x = 90 - 25 = 65

Supplement: 180 - x = 180 - 25 = 155

Answer: The angle measures 25°.;, the complement measures 65°; the supplement measures 155°.

8 0
3 years ago
Determine the type and number of solutions of 4x^2-5x+1=0.
Arlecino [84]
<span>4x² - 5x + 1 = 0
a = 4; b = - 5, c = 1
</span>Δ = b² - 4.a.c
Δ = (-5)² - 4.4.1
Δ = 25 - 16
Δ = 9
<span>
x = - b </span>± √Δ / 2.a
x =  \frac{-5\± \sqrt{9} }{2*4}
x =  \frac{-5\±3}{8}
x' =  \frac{-5-3}{8} =  \frac{-8}{8} = -1
x' = \frac{-5+3}{8} = \frac{-2}{8} (\div2) = \frac{-1}{4}


A. Two real solutions (x' = -1 and x'' = -1/4)
4 0
3 years ago
There are 13 teams of cheerleaders at a competition. The order of performance is determined at random. What is the probability t
PIT_PIT [208]

probability of you performing first is 1/13

after your team performs there are 12 teams left, so chance of the other team performing next is 1/12


chance of both happening = 1/13 * 1/12 = 1/156

3 0
3 years ago
Solve for m f=gmn/d^2
Serggg [28]

f = gmn/d²

gmn = fd²

m = fd²/gn

4 0
3 years ago
7g - 6 = -20 what is the answer
Brut [27]

7g - 6 = -20

Add 6 to both sides

7g = -14

Divide both sides by 7
g = -2


answer: g = -2

7 0
2 years ago
Read 2 more answers
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