MATHEMATICS HIGH SCHOOL

Nadine mixes a juice solution that is made from 3 gallons of an 80% juice solution and 1 gallon of a 20% juice solution. What is the percent concentration of the final solution

Answers

Answer 1
Answer: Total concentration=(3*80+1*20)/(3+1)
Total concentration= (240+20)/(4)
Total concentration=(x)/(y) (260)/(4)
Total concentration= 65 %
Answer 2
Answer:

Answer:

C: 65%

Step-by-step explanation:

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Anna is watching a space shuttle launch 6 miles from Cape Canaveral in Florida. When the angle of elevation from her viewpoint to the shuttle is 80 degrees, how high is the shuttle if it is going straight up? (Round your answer to the nearest degree.)

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use this calculater operations calculater

The function f(t) = 4t2 − 8t + 7 shows the height from the ground f(t), in meters, of a roller coaster car at different times t. Write f(t) in the vertex form a(x − h)2 + k, where a, h, and k are integers, and interpret the vertex of f(t).(A) f(t) = 4(t − 1)2 + 3; the minimum height of the roller coaster is 3 meters from the ground
(B) f(t) = 4(t − 1)2 + 3; the minimum height of the roller coaster is 1 meter from the ground
(C) f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 2 meters from the ground
(D) f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 1 meter from the ground

Answers

The function is a parabola, and the problem asks to transform the equation into f(t)=a(x-h)2 + k

Given f(t) = 4t2 -8t +7

= (4t2 - 8t + 4) + 7 - 4

=4 (t2 - 2t + 1) + 3

= 4 (t-1) 2 +3

This removes C and D from the viable choices.

Differentiating the f(t),

f’(t) = 8t – 8, the maximum/minimum value occurs at f’(t) = 0

0 = 8t – 8

t = 1

determining if maximum or minimum, f”(t) > 0 if minimum, f”(t) < 0 maximum

f”(t) = 8 > 0, therefore minimum

f(1) =4(1)^2 – 8(1) +7

= 3

Therefore, minimum height is 3.

Answer:

T= 4 s (second option).

What is the area of a triangle with vertices at (0, −2), ​(8, −2)​ , and ​(9, 1)​ ?

Answers

Answer:

A=1/2*(8)*(3)

A=12

Description:

The area of a triangle is A=1/2*b*h

Meaning the area of the triangle is 12.

A=1/2*(8)*(3)

A=12

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Jane Marko buys a car for 43900.00. In three years. the car depreciates 48% in value. How much is the car worth in three years

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I think this would be 91458.3 . I am not completely sure... Hopefully a math expert around here can help you. That is my guess. ;) 

How far away would you need to place the ladder​

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Answer:

Step-by-step explanation:

far away

Answer:3 inches

Step-by-step explanation:

Two towns A and B are 12.0 mi apart and are located 5.0 and 3.0 mi, respectively, from a long, straight highway. A construction company has a crontract to build a road from A to the highway nad then to B. Analyze a model to determine the length to the nearest tenth of a mile of the shortest road that meets these requirements

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The solution to the problem is as follows:

d=AS+SB=AS+SB'=√(AB"²+B'B"²) 
AB"²=12²-2²=140
 
d=√(140+8²)=√204=14.283 miles

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