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Debora [2.8K]
3 years ago
14

Molly painted a line around the entire perimeter of the basketball court. The length of the court was 32 meters and the width wa

s 17 meters.
Mathematics
1 answer:
xz_007 [3.2K]3 years ago
5 0
The answer is 98 meters :)
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The force in Newtons acting on a particle located x meters from the origin is given by the function F(x)=12x2+7. What is the wor
Shkiper50 [21]

W = \displaystyle \int^{5}_{2}   F(x) ~ dx\\\\\\= \displaystyle \int^{5}_{2} \left(12x^2 +7\right) ~dx\\\\\\= 12\displaystyle \int^{5}_{2} x^2 ~dx + \displaystyle \int^{5}_{2} 7~ dx\\\\\\=12 \left[\dfrac{x^3}3 \right]^{5}_{2}  + 7\left[x\right]^{5}_{2}\\\\\\=4(5^3-2^3) + 7(5-2) = 468 + 21 = 489~ J

5 0
2 years ago
4.9x 10^2 as a decimal number????
harkovskaia [24]

Answer:

490.0...

Step-by-step explanation:

4.9 x 10^2

(squared)

4.9 x 10 x 10

the easiest way to do this is to move the decimal 2 places to the right, as

10 x 10 = 100

4.9 x 100 = 490.0...

7 0
3 years ago
Find the volume of a sphere with a diameter of 8cm
12345 [234]

Answer:

V = 267.95

Step-by-step explanation:

Volume of a Sphere:

V = 4/3πr³

r = d/2

r = 4

Work:

V = 4/3πr³

V = 4/3(3.14)(4³)

V = 4/3(3.14)(64)

V = 267.95

3 0
2 years ago
Read 2 more answers
300 juniors at Central High School took the ACT last year. The scores were distributed normally with a mean of 24 and a standard
Usimov [2.4K]

Answer:

150 students

Step-by-step explanation:

According to statement we have the following information

number of juniors=n=300

mean score=24

standard deviation score=4

The number of students that score above 24 is determined by

Number of students score above 24=number of juniors* P(student score above 24)

P(student score above 24)=P(x>24)=P(x-mean/sd>24-24/4)=P(z>0)=0.5.

Students score above 24=np=300*0.5=150

Hence there are 150 students scored above 24.

4 0
3 years ago
Alice Hall, who loves to cook, makes an apple cake (serves six) for her family. The recipe calls for 2 1/2 pounds of apples, 2 1
grandymaker [24]
2 1/2 pounds of apple makes serve 6
(2 1/2 x 24)/6 = 10 pounds of apple will make serve 24.

Therefore, she will use 10 pounds of apples.
8 0
3 years ago
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