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crimeas [40]
3 years ago
12

1. *

Mathematics
1 answer:
Elenna [48]3 years ago
5 0

Answer:

(1) P(A) + P(B) - P(AB)

Step-by-step explanation:

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A projectile is launched from ground level with an initial velocity of v0 feet per second. Neglecting air resistance, its height
elena-s [515]
The formula is s=-16t^2+V_ot

We have:
s=64
V_o=80ft/s

Substituting these values into the formula, we have

64=-16t^2+80t

16t^2-80t+64=0 ⇒ divide each term by 16

t^2-5t+4=0 ⇒ find the pair of numbers that multiply to give 4 and sum gives -5 which is -1 and -4

(t-1)(t-4)=0 ⇒ We have two values of t

t-1=0 ⇒ t=1
t-4=0 ⇒ t=4

The time when the projectile reached 64 feet is at t=1 and t=4



6 0
3 years ago
The formula d = rt gives the distance traveled in time t at rate r. A bicyclist rides for 1.25 hours and travels 32 miles.
Nat2105 [25]

divide distance by time

32  /1.25 = 25.6 miles per hour

3 0
3 years ago
Sheena wants to measure the volume of a ball that is 24 cm across. How should she set up her equation?
Annette [7]

Answer:

The volume of the ball is V=2,304\pi\ cm^{3}  or  V=7,234.56\ cm^{3}

Step-by-step explanation:

we know that

The volume of the sphere ( a ball) is equal to

V=\frac{4}{3}\pi r^{3}

we have

r=24/2=12\ cm -----> the radius is half the diameter

substitute

V=\frac{4}{3}\pi (12)^{3}

V=2,304\pi\ cm^{3} ----> exact value of the volume

assume

\pi =3.14

substitute

V=2,304(3.14)=7,234.56\ cm^{3} -----> approximate value

7 0
3 years ago
A piece of paper measures 8.5 inches by 11 inches. Mrs. Wickowitz wants to hang paper on a bulletin board that has a height of 2
telo118 [61]

Answer:

p <= 19

Step-by-step explanation:

We have that the area of a sheet of paper is:

8.5 ft * 11 ft = 93.5 ft ^ 2

So the area of the bulletin board would come from:

1728 / 93.5 = 18.48 pieces of paper.

What it means is that the solution is a number greater than 18.48, an inequality this case represents would be:

p <= 19

Which means, as long as it's under 19, I could hang it up. It is approaching 19 because this type of situation approaches the largest number.

3 0
3 years ago
Find the slope for the graph
Kobotan [32]

Answer:

i hope it helps you understand

6 0
2 years ago
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