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lubasha [3.4K]
3 years ago
8

A firecracker shoots up from a hill 145 feet high with an initial speed of 80 feet per second. Using the formula H(t) = -16t2 +

vt + s, approximately how long will it take the firecracker to hit the ground?
a. 13 seconds b. 11 seconds c. 9 seconds d. 6 seconds
Mathematics
1 answer:
kiruha [24]3 years ago
3 0
145 = -16 t² + 80 t +s
s = ?
v = v0 - at
0 = 80 - at
80 = at
s = 80 t - at²/2
s = 80 t - 80t/2
s = 40 t
Finally: 145 = -16 t² + 80 t + 40 t
16 t² - 120 t + 145 = 0
We will solve this quadratic equation:
t = [120 +√ ( (-120)²- 4 · 16 · 145 )] / 32
t = [120 + √ (14400 - 9280) ] / 32 
t = (120 + 71.55) / 32 = 5.98 ≈ 6 s
Answer:D) 6 seconds
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The youngest brother is 15 years old
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Last week, Sarah had exams in Math, Spanish, and English. On the Math exam, the mean was µ = 30 with s = 5, and Sarah had a scor
serious [3.7K]

Answer:

Sara expect the better grade for Math class.

Step-by-step explanation:  

Consider the provided information.

On the Math exam, the mean was µ = 30 with s = 5, and Sarah had a score of X = 45.

Z score for Math: Z=\frac{x-\mu}{s}

Z=\frac{45-30}{5}

Z=\frac{15}{5}

Z=3

On the Spanish exam, the mean was µ = 60 with s = 8 and Sarah had a score of X = 68.

Z score for Spanish: Z=\frac{x-\mu}{s}

Z=\frac{68-60}{8}

Z=\frac{8}{8}

Z=1

On the English exam, the mean was µ = 70 with s = 8 and Sarah had a score of X = 70.

Z score for English: Z=\frac{x-\mu}{s}

Z=\frac{70-70}{8}

Z=0

We can observe that Z score of Math is greater than Spanish and English.

Which means that Sarah did the best in her Math exam.

Hence, Sara expect the better grade for Math class.

8 0
3 years ago
I need help on this. Please
serious [3.7K]

Answer: choice C, y = 0.014x+0.85

==============================

Explanation:

Each column of the table represents an (x,y) pair of values

x = number of pages

y = cost

If we look at the first two columns, we see the two points (50,1.55) and (100,2.25). The x value is listed first. Let's compute the slope of the line through these two points

m = (y2-y1)/(x2-x1)

m = (2.25-1.55)/(100-50)

m = 0.7/50

m = 0.014

So far, we see the answer is between A,B or C as they have the slope of 0.014

Use this slope value, and one of the points -- say (x,y) = (50,1.55) -- to find the y intercept b

y = mx+b

y = 0.014x+b .... plug in the slope found earlier

1.55 = 0.014*50+b ... plug in the point (x,y) = (50,1.55)

1.55 = 0.7+b

1.55-0.7 = 0.7+b-0.7 ... subtract 0.7 from both sides

0.85 = b

b = 0.85

With m = 0.014 as the slope and b = 0.85 as the y intercept, we can say that y = mx+b turns into y = 0.014x+0.85. That narrows the answer down to choice C.

3 0
2 years ago
Solve for x. 5(3x + 9) = - 135
tekilochka [14]

Answer:

x=-12

D

tha last one

7 0
3 years ago
Read 2 more answers
What is the answer to this problem 6(1-5m)
Ivahew [28]
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So your answer is </span></span>−30m+6
5 0
3 years ago
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