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german
3 years ago
13

A ball is dropped from 45 feet above the ground. With each bounce, its max height is 80% of its previous height. What is the bal

l's height at the 14th step of progression? (Round to the nearest hundredths)
Mathematics
1 answer:
KATRIN_1 [288]3 years ago
3 0

Answer: 1.98 ft

Step-by-step explanation: 45(.8)^14

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Subtract 4x +5 from 2x-3​
Gnom [1K]

Answer:

-2x-8

Step-by-step explanation:

2x-3 - (4x+5)

Distribute the minus sign

2x-3 -4x-5

Combine like terms

2x-4x-3-5

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3 0
3 years ago
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A bicycle is traveling at 20 feet per minute. What is the bicycle's speed expressed in inches per second?
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Answer:

4 inches per second

Step-by-step explanation:

Speed = distance/time

Given

Distance = 20 feet

12 inches = 1 foot

X inches = 20 feet

X = 20 x 12 = 240 inches

Time = 1 minute = 60 secs

Therefore

Speed = 240/60

= 4 inches per second

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3 years ago
Find the surface area of the prism shown (Remember, rectangular prisms have a total of 6 sides)
gregori [183]

Answer:

The answer is 190mm2

Step-by-step explanation:

(3x5)x2  30

(3x10)x2  60

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6 0
2 years ago
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3 years ago
Find an equation of the line that passes through the points (1 2) and perpendicular to the line 2y-x=4
Ratling [72]
Steps to find the equation
1. Find the slope
2. Insert slope into the general equation
3. Find y-intercept
4. Insert -intercept into the equation found in step 2
And you get the equation of the line

----------------------------------------------------------------------------------------------
Find the slope
----------------------------------------------------------------------------------------------
2y - x = 4

----------------------------------------------------------------------------------------------
Rewrite into the form y = mx + c
----------------------------------------------------------------------------------------------
2y = x + 4
y = 1/2 x + 2

Slope = 1/2
Perpendicular slope = -2 (negative reciprocal)

----------------------------------------------------------------------------------------------
Insert slope into the equation
----------------------------------------------------------------------------------------------
y = mx + c
y = -2x + c

----------------------------------------------------------------------------------------------
Find y-intercept
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y = -2x + c
At point (1, 2)
2 = -2(1) + c
2 = -2 + c
c = 4

----------------------------------------------------------------------------------------------
Insert y-intercept into the equation y = -2x + c
----------------------------------------------------------------------------------------------
y = -2x + 4

----------------------------------------------------------------------------------------------
Answer: y = -2x + 4
----------------------------------------------------------------------------------------------
3 0
3 years ago
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