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uranmaximum [27]
3 years ago
9

A rock is dropped from the top of a 2000-foot building. After 1 second, the rock is traveling 32 feet per second. After 2 second

s, the rock
is traveling 64 feet per second. Let y be the rate of descent and be the number of seconds since the rock was dropped.
a. Write a linear equation that relates time x to rate y. (Hint: Use the ordered pairs (1,32) and (2,64).]
b. Use this equation to determine the rate of travel of the rock 15 seconds after it was droppedwas dropped.
Thank

Mathematics
1 answer:
alexandr402 [8]3 years ago
8 0

Using the pairs (1,32) and (2,64) the rate of speed is (64-32 / 2-1 = 32 feet per second.

To find the rate of decent you would multiply the rate by time:

The equation is y = 32x

B. Replace x with 15 and solve for y:

Y = 32(15)

Y = 480

The rate of speed is 480 feet per second.

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250 in the account

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3 years ago
A professor at a local university noted that the exam grades of her students were normally distributed with a mean of 73 and a s
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Answer:

88.51 is the minimum score needed to receive a grade of A.          

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 73

Standard Deviation, σ = 11

We are given that the distribution of exam grades is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.0793.

P( X \geq x) = P( z \geq \displaystyle\frac{x - 73}{11})=0.0793  

= 1 -P( z \leq \displaystyle\frac{x - 73}{11})=0.0793  

=P( z \leq \displaystyle\frac{x - 73}{11})=0.9207  

Calculation the value from standard normal z table, we have,  

P(z \leq 1.410) = 0.9207

\displaystyle\frac{x - 73}{11} = 1.410\\x =88.51  

Hence, 88.51 is the minimum score needed to receive a grade of A.

3 0
3 years ago
Sort each equation according to whether it has one solution, infinitely many solutions, or no solution.
Aliun [14]
《ANSWER》

《LINEAR EQUATIONS》

Solving all we get as

↪1) 5 (x -2) = 5x - 7

since after solving X is cancelled , NO SOLUTION

↪2) -3 (x - 4) = -3x + 12

SINCE after solving X is any value , infinitely many solutions

↪3) 4 (x + 1) = 3x + 4

solving we get as , 4x+ 4 = 3x + 4 =》 X =0

only one solution

↪4) -2 (x-3) = 2x - 6

Only one solution

↪5) 6 (x + 5) = 6x + 11

NO SOLUTION

All the equations are solved by the distributive law of algebra
5 0
3 years ago
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dimaraw [331]

Answer:

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Step-by-step explanation:

Base amount: $7,800.00

Interest Rate: 6.5% (yearly)

Effective Annual Rate: 6.5%

Calculation period: 29 years

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First try it out yourself then compare answers. Remember, all squares have the same length per each side.

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