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stellarik [79]
2 years ago
8

The velocity of a roller coaster as it moves down a hill is v=√v²+64h. where v is the initial velocity and h is the vertical dro

p in feet. the designer wants the coaster to have a velocity of 200 feet per second when it reaches the bottom of the hill. if the initial velocity of the coaster is 30 feet per second, how high should the designer make the hill?
Mathematics
1 answer:
brilliants [131]2 years ago
4 0

Answer: So required height is 124.22feets.

Step-by-step explanation:

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The tallest living man at one time had a height of 262 cm. The shortest living man at that time had a height of 68.6 cm. Heights
AysviL [449]

Answer:

more the z-score more will be the extreme. therefore tallest man has high extreme

Step-by-step explanation:

Formula for z-score: \frac{X-\mu }{\sigma}

where

X is height of tallest man

μ mean height

σ is standard deviation

z score for tallest is

z-score = \frac{ 262 - 175.32}{8.17} = 10.60

similarly for shortest man

z-score = \frac{68.6 - 175.32}{8.17} = - 13.06

more the z-score more will be the extreme. therefore tallest man has high extreme

6 0
3 years ago
Read 2 more answers
What value of x makes the equation true? 42/54= x/9 A. 2 B. 7 C. 14 D. 36
adoni [48]
B) 7 would make it true, since both 42/54 and 7/9= 0.77 repeating 
7 0
3 years ago
Write an equation for the translation of x^2 + y^2 = 49 by 7 units right and 4 units up
Tatiana [17]

Answer:

(x - 7)² + (y - 4)² = 49

Step-by-step explanation:

Given

Equation: x² + y² = 49

Required:

New Equation when translated 7 units right and 4 units up

Taking it one step at a time.

When the equation is translated 7 units right, this implies a negative unit along the x axis.

The equation becomes

(x - 7)² + y² = 49

When the equation is translated 4 units up, this implies a negative unit along the y axis.

(x - 7)² + (y - 4)² = 49

The expression can be further simplified but it's best left in the form of

(x - 7)² + (y - 4)² = 49

8 0
3 years ago
What is 3 5/8 ÷14 please answer this
MissTica

Answer:

29/112

Step-by-step explanation:

3 5/8=29/8

(29/8)/14

(29/8)(1/14)=29/112

5 0
3 years ago
Write an equation in slope intercept form of the line passing through (5,-4) and is perpendicular to a line whose equation is -2
Sergeu [11.5K]
Rearrange the given equation in slope intercept form
y =  \frac{3x - 1}{ - 2}  \\ y =  -  \frac{3}{2}  x +  \frac{1}{2}
slope of the required line is
-  \frac{1}{  - \frac{3}{2} }  =  \frac{2}{3}
equation is given by
y - y1 = m(x - x1) \\ y -  - 4 =  \frac{2}{3} (x - 5) \\ y + 4 =  \frac{2x}{3}  -  \frac{10}{3}  \\ y =  \frac{2x}{3}  -  \frac{10}{3}  - 4 \\ y =  \frac{2}{3} x -  \frac{22}{3}
5 0
3 years ago
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