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AysviL [449]
3 years ago
9

Can someone help me figure the answer out to this question , thank you .

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
8 0

Answer:

A im 6 years old

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What is the length of any side of equilateral triangle TUV?<br> a. 7<br> b. 15<br> c. 20<br> d. 24
NikAS [45]
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6 0
3 years ago
What is 8,489÷9.This is 50 points question
s2008m [1.1K]
943.222222222222222222 (the 2 repeats) and it is rounded to 943.
5 0
3 years ago
Read 2 more answers
What is a and b pls answer ASAP I need it !!! Plsss
nlexa [21]

Answer:

The value of a = 5.

the value of b = 6.

Step-by-step explanation:

Given the points on the line

  • (6, 10)
  • (a, 8)
  • (4, b)
  • (2, 2)

Given that all of the points are on the same line and the line represents a linear function.

Thus, the slope between any two points must be the same.

First, determine the slope between (6, 10) and (2, 2)

(x₁, y₁) = (6, 10)

(x₂, y₂) = (2, 2)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [2 - 10] / [2 - 6]

               = -8 / -4  

               = 2

Thus, the slope of the line = m = 2

Determine the value 'a'

(x₁, y₁) = (6, 10)

(x₂, y₂) = (a, 8)

Using the slope formula to determine the value of 'a'

Slope =  [y₂ - y₁] /  [x₂ - x₁]

As the slope between two points is 2.

now substitute slope = 2, (x₁, y₁) = (6, 10) and (x₂, y₂) = (a, 8) in the slope formula

Slope =  [y₂ - y₁] /  [x₂ - x₁]

2 = [8 - 10] / [a - 6]

2(a - 6) = 8 - 10

2a - 12 = -2

2a = -2 + 12

2a = 10

divide both sides by 2

a = 5

Therefore, the value of a = 5.

Determine the value 'b'

(x₁, y₁) = (2, 2)

(x₂, y₂) = (4, b)

Using the slope formula to determine the value of 'b'

Slope =  [y₂ - y₁] /  [x₂ - x₁]

As the slope between two points is 2.

now substitute slope = 2, (x₁, y₁) = (2, 2) and (x₂, y₂) = (4, b) in the slope formula

Slope =  [y₂ - y₁] /  [x₂ - x₁]

2 = [b - 2] / [4 - 2]

2(4 - 2) = b - 2

8 - 4 =b - 2

4 = b - 2

b = 6

Therefore, the value of b = 6

7 0
3 years ago
An online shopping club has 10,000 members when it charges $7 per month for membership. For each $1 monthly
Sonja [21]

Answer:

The function that can be used in the online shopping club about its monthly revenue is:

R = -400x^{2} +7200x+70000

Step-by-step explanation:

First, we're gonna take into account the different values we have in the exercise:

  1. 10,000 members
  2. $7 per month for membership
  3. Loses of 400 members by each $1 monthly increase

How the variable x represents the price increase, we can do the formula below:

  • (10000 - 400x) * (7+x)

In this formula, we represent in the first part that by each 1 in the variable x, the total of members will be reduced in 400, in the second part, we mention that at the same time, the membership fee will be increased in the same value of x. Now we must simplify this function:

  • (10000 - 400x) * (7+x)

We operate the values:

  • 70000+10000x-2800x-400x^{2}

Solve we can:

  • 70000+7200x-400x^{2}

And organize:

  • -400x^{2} +7200x+70000

At the end, how R represents the monthly revenue received by the club, we use that variable for our formula:

  • R=-400x^{2} +7200x+70000

4 0
2 years ago
It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 122 feet. A transportat
madreJ [45]

Complete Question

The complete question is shown on the first uploaded image

Answer:

the null hypothesis is  H_o  :  \mu =  122

the alternative hypothesis is H_a  :  \mu \ne  122

The test statistics is  t =  - 1.761

The p-value is  p =  P(Z  <  t ) = 0.039119

so

    p  \ge 0.01

Step-by-step explanation:

From the question we are told that

   The population mean is  \mu  = 122

     The sample size is  n=  38

    The sample mean is  \= x  =  116 \ feet

     The standard deviation is \sigma  =  21

     

Generally the null hypothesis is  H_o  :  \mu =  122

                the alternative hypothesis is H_a  :  \mu \ne  122

Generally the test statistics is mathematically evaluated as

         t =  \frac { \= x - \mu }{\frac{ \sigma }{ \sqrt{n} } }

substituting values

         t =  \frac { 116 -  122 }{\frac{ 21 }{ \sqrt{ 38} } }

         t =  - 1.761

The p-value is mathematically represented as

      p =  P(Z  <  t )

From the z- table  

     p =  P(Z  <  t ) = 0.039119

So  

     p  \ge 0.01

 

         

     

           

4 0
3 years ago
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