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Answer:

     y = 7·1.5^x

Step-by-step explanation:

To find the parameters of the exponential function, substitute the given point values and solve the resulting equations for the parameters.

The form you want to find the parameters of is ...

  y = ab^x

__

For (x, y) = (1, 10.5)

  10.5 = ab^1

For (x, y) = (3, 23.625)

  23.625 = ab^3

__

The value of 'b' can be found by dividing the second equation by the first:

  [tex]\dfrac{23.625}{10.5}=\dfrac{ab^3}{ab^1}\\\\2.25 = b^2\\\\b=\sqrt{2.25}=1.5[/tex]

Then the value of 'a' can be found by substituting for b in the first equation:

  10.5 = a(1.5^1)

  a = 10.5/1.5 = 7

The exponential function is ...

  y = 7·1.5^x

Answer:

[tex]y=7 (1.5)^x[/tex]

Step-by-step explanation:

General form of an exponential function:  [tex]y=ab^x[/tex]

where:

If [tex]b > 1[/tex] then it is an increasing function

If [tex]0 < b < 1[/tex] then it is a decreasing function

Given:

Substitute these ordered pairs into the general form of the exponential function:

Equation 1:   [tex]ab^1=10.5[/tex]

Equation 2:   [tex]ab^3=23.625[/tex]

To find [tex]b[/tex], divide Equation 2 by Equation 1:

[tex]\implies \dfrac{ab^3}{ab^1}=\dfrac{23.625}{10.5}[/tex]

[tex]\implies b^2=2.25[/tex]

[tex]\implies b=\sqrt{2.25}[/tex]

[tex]\implies b=1.5[/tex]

Now substitute found value of [tex]b[/tex] into one of the equations to find [tex]a[/tex]:

[tex]\implies ab=10.5[/tex]

[tex]\implies 1.5a=10.5[/tex]

[tex]\implies a=\dfrac{10.5}{1.5}[/tex]

[tex]\implies a=7[/tex]

Therefore, the final exponential equation is:  [tex]y=7 (1.5)^x[/tex]

hi! what’s the square root of 82 rounded to the nearest tenth?

PLEASE HELP 55 POINTS

In this activity, you will analyze a statistical study for a given situation and apply randomization to collect data from which valid conclusions may be drawn.

To meet the company’s sales goals, the sales director for the pet food company decided to provide training for some of the sales representatives in the Midwest and Northeast regions. After conducting a one-month training program, the sales director analyzed the effectiveness of the program by conducting a statistical study.

Question 1
The purpose of the sales director’s study is to determine whether attending the training program caused an increase in sales for representatives from the two regions. So the sales director collected sales data from both groups (those receiving training and those receiving no training) for three months after the one-month program and compared the number of orders secured by those who attended the training program with the number of orders secured by those who didn’t attend.

Part A

Question
Select the correct answer from each drop-down menu.

The sales director conducted because a treatment applied to the sales representatives.

This is the best statistical study for this situation because the sales director is trying to establish .

Part B
Suppose there are 1,000 total sales representatives in the Midwest and Northeast regions, with 500 sales reps in each region. Describe the best way for the sales director to include 200 sales representatives, with an equal number from each region and an equal number in each group, while yielding valid conclusions in the study.

Type your response in the box.







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Characters used: 0 / 15000
Question 2
For three months after the training program, the sales director collected the sales data for the 200 sales representatives from the Midwest and Northeast regions. The director then broke down the number of sales orders for the representatives according to whether they received training or not. This data is shown in the table.

Three Months’ Sales Orders​
Training​​ No Training​
Midwest 234 196
Northeast 252 178
Question
Use the data shown in the table to complete each statement.

Select the correct answer from each drop-down menu.

For the Midwest region, the average number of sales orders per representative for the group that had training is more than the average number of sales per representative for the group that had no training.

For the Northeast region, the average number of sales orders per representative for the group that had training is more than the average number of sales per representative for the group that had no training.

The data from the sales director’s study indicates that the one-month training program sales.

Solve this Question and Write the method how to find LCM.​

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Group of answer choices

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horizontal change
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vertical change
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Please show work and thank you

help me fast pleas-

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Please will give brainlyest

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Use 3.14 for π.


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B) You conclude that the speed of all joggers on this trail is exactly 5.3 mph.
C) You conclude that the average speed of all joggers on this trail is close to 5.3 mph.
D) You conclude that the speed of more than half of the joggers on this trail is less than 5.3 mph.

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Use 3.14 for
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F
6 + x + 24
G 6 + x = 24
U I
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6 + X - 24
J
6 + X

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