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PIT_PIT [208]
3 years ago
9

HELP

Mathematics
1 answer:
Sonbull [250]3 years ago
5 0

Answer:

A. 121 ⇒ III. 11

B. 64 ⇒ II. 4 and IV. 8

C. 27 ⇒ I. 3

D. 125 ⇒ V. 5

E. 16 ⇒ II. 4

Step-by-step explanation:

Let us find the correct answer

∵ 121 = 11 × 11

∴ The square root 121 is 11

∴ A. 121 ⇒ III. 11

∵ 64 = 8 × 8

∴ The square root of 64 is 8

∵ 64 = 4 × 4 × 4

∴ The cube root of 64 is 4

∴ B. 64 ⇒ II. 4 and IV. 8

∵ 27 = 3 × 3 × 3

∴ The cube root of 27 is 3

∴ C. 27 ⇒ I. 3

∵ 125 = 5 × 5 × 5

∴ The cube root of 125 is 5

∴ D. 125 ⇒ V. 5

∵ 16 = 4 × 4

∴ The square root of 16 is 4

∴ E. 16 ⇒ II. 4

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a volley ball player servers the ball. The ball follows a path given by the equation y=-0.01x^2+0.5x+3 where x and y are measure
dolphi86 [110]

Answer:

(a)

Distance from player should be 13.82 feet or 36.2 feet

(b)

The ball will go over the net

Step-by-step explanation:

we are given

The ball follows a path given by the equation

y=-0.01x^2+0.5x+3

where

x and y are measured in feet and the origin is on the court directly below where the player hits the ball

(a)

net height is 8 ft

so, we can set y=8

and then we can solve for x

8=-0.01x^2+0.5x+3

8\cdot \:100=-0.01x^2\cdot \:100+0.5x\cdot \:100+3\cdot \:100

800=-x^2+50x+300

-x^2+50x-500=0

x^2-50x+500=0

we can use quadratic formula

x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

x=\frac{-50\pm \sqrt{50^2-4\left(-1\right)\left(-500\right)}}{2\left(-1\right)}

x=5\left(5-\sqrt{5}\right),\:x=5\left(5+\sqrt{5}\right)

x=13.82,x=36.2

So, distance from player should be 13.82 feet or 36.2 feet

(b)

we can plug x=30 and check whether y=8 ft

y=-0.01(30)^2+0.5(30)+3

y=9ft

we know that

height of net is 8 ft

so, the ball will go over the net


5 0
4 years ago
What is the final cost of a book priced at $10.00 with a tax rate of 5%?
Sophie [7]

Answer:

10.50

Step-by-step explanation:

5% of 10 is 0.5

0.5+10=10.50

5 0
3 years ago
Read 2 more answers
Simplify the variable expression below as much as possible.<br> 3x + 2y + 5-3
agasfer [191]

Answer:

3x+2y+2=0

3x=-2y-2

x=-(2y+2)/3

Step-by-step explanation:

8 0
3 years ago
A test was given to a group of students. The grades and gender are summarized below A B C TotalMale 5 9 2 16Female 7 11 12 30Tot
faust18 [17]

Probability that the student got a 'C' GIVEN they are female = number of females that got a C in the test/number of females

From the information given,

number of females that got a C in the test = 12

number of females = 30

Thus,

Probability that the student got a 'C' GIVEN they are female = 12/30

We would simplify the fraction by dividing the numerator and denominator by 6. Thus,

Probability that the student got a 'C' GIVEN they are female = 2/5

4 0
1 year ago
I dont understand this question. Also if anyone is on geometry byu part two let me know and we can work together !
damaskus [11]

Answer:

Area of circle R = 75π un² or ≈235.5 un²

Step-by-step explanation:

The problem says that m∠TRS = 120º. The total number of degrees in a circle is 360º. 120º is a third of 360º. Therefore, we can prove that the shaded sector is a third of the circle.

The problem then says that the area of the shaded sector is 25π and we have to calculate the area of the entire circle. Since we already know that the shaded sector is a third of the circle, we can simply multiply 25π by 3 in order to calculate the area of t he entire circle.

25π × 3 = 75π.

Area of circle R = 75π un² or ≈235.5 un²

4 0
3 years ago
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