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zlopas [31]
3 years ago
10

A ball is thrown upward from the top of a building. The function below shows the height of the ball in relation to sea level, f(

t), in feet, at different times, t, in seconds: f(t) = −16t2 + 32t + 384 The average rate of change of f(t) from t = 4 seconds to t = 6 seconds is _____ feet per second. Answer for Blank 1:
Mathematics
1 answer:
shepuryov [24]3 years ago
7 0
The answer is -128
-16(6)² + 32(6) + 384 = 0
-16(4)² + 32(4) + 384 = 256
<span>0 - 256/6 - 4 = -128


</span>
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NARA [144]
1)  6 positive 
2) - $25 negative 
3) -8 negative 
4) 82 positive

5 0
3 years ago
Solve -np-80&lt;60 for n. Show your work.<br><br> Solve 2a-5d=30 for d. Show your work.
xz_007 [3.2K]

-np-80 < 60\qquad\text{change the signs}\\\\np+80

------------------------------------------------------

2a-5d=30\qquad\text{subtract 2a from both sides}\\\\-5d=-2a+30\qquad\text{change the signs}\\\\5d=2a-30\qquad\text{divide both sides by 5}\\\\d=0.4a-6

8 0
3 years ago
Simplify: -4(2 - 8x)
Leno4ka [110]

Answer:

32 − 8

Step-by-step explanation:

1. Rearrange terms

− 4 (2 − 8)

− 4 (− 8 + 2)

2. Distribute

− 4 (− 8 + 2)

<u><em>32x - 8</em></u>

3 0
3 years ago
Find ​(a) PQ to the nearest tenth and ​(b) the coordinates of the midpoint of __ pq.
lutik1710 [3]

Answer:

a) 5units

b) (4.5, 4)

Step-by-step explanation:

Let the coordinate of P and Q be P(3, 2) and Q(6, 6)

PQ can be gotten using the distance formula;

PQ =√(6-2)²+(6-3)²

PQ = √4²+3²

PQ =√16+9

PQ =√25

PQ = 5units

Midpoint M is  expressed as;

M(X, Y) = {(x1+x2)/2, y1+y2/2}

X = x1+x2/2

X = 3+6/2

X= 9/2

X = 4.5

Similarly;

Y = y1+y2/2

Y = 2+6/2

Y = 8/2

Y = 4

Hence the midpoint of PQ is (4.5, 4)

4 0
2 years ago
Question 2 (1 point) (11.01 MC) Nina has a piece of fabric measuring 5 yards. How many 1-inch strips can be cut from the fabric?
maw [93]

Answer:

180 strips

Step-by-step explanation:

Note that:

1 yard = 36 inches

5 yards = x

Cross Multiply

x = 5 × 36 inches

x = 180 inches

Hence:

1 piece of fabric = 180 inches

How many 1-inch strips can be cut from the fabric?

180 inches = 1 piece of fabric

1 inch = x

x = 180 strips

8 0
3 years ago
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