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garik1379 [7]
3 years ago
11

Determine the 1-unit growth factor for f f. [We encourage you to write the expression that represents the value of the growth fa

ctor rather than a rounded decimal. If you choose to use rounded answers, round to five decimal places.]

Mathematics
1 answer:
timofeeve [1]3 years ago
6 0

Answer: The complete question is found in the attachment

Step-by-step explanation:

a) To determine the 1-unit growth factor for <em>f</em>

= 2.1/1.75 = 1.2

b) To determine the 1-unit percent change for <em>f</em>

<em>=100 x 1-1.2/1 = 0.2 x 100= 20%</em>

<em>c) to determine the initial value of f</em>

<em>f(x)= abˣ , b =1.2   a=initial value</em>

<em>at (-1,2.1)</em>

<em>2.1= (1.2)⁻¹ x a</em>

<em>a = 2.1/(1.2)⁻¹ </em>

<em>a = 2.1 x 1.2 = 2.52</em>

<em />

<em>d) to determine the function formula for f</em>

<em>f(x)= abˣ = 2.52(1.2)ˣ</em>

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Samantha is making a quilt and she has determined she needs 450 square inches of yellow fabric and 478
asambeis [7]

Conversions:

1 yard = 36 inches

The store only sells fabric by the by the quarter yard.

<h2><u><em>The yellow fabric: 450/36 = 12.5 square yards</em></u></h2><h2><u><em>The blue fabric: 478/36 is around 13.3 square yards</em></u></h2>

Total Amount: 12.5+13.3=

<h2><u><em>25.8 square yards</em></u></h2>

7 0
2 years ago
brad wants to open a new saving account. he finds one that returns 3% on his investment each year.Use the varibles to write a fo
Vsevolod [243]

3% is the interest so you would do 3% of the investment plus the original investment so 3%×I=z and then z+I=the answer. sorry if this didnt help I'm new and I tried my best sorry!

3 0
3 years ago
The first eight quizzes in this class had average scores of 8,9,9,8,8,9,8,7. This gives a sample mean of 8.25 and a sample stand
alexira [117]

Answer:

<em>Test statistic </em>

<em>               </em>t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }  

            t = <em>1.076</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given Mean of the Population (μ) = 8.0

<em>Mean of the sample (x⁻) = 8.25</em>

Given data

                  8,9,9,8,8,9,8,7

Given sample size  n= 8

Given sample standard deviation(S) = 0.661

<u><em>Step(ii):-</em></u>

<em>Null hypothesis : H:  (μ) = 8.0</em>

<em>Alternative Hypothesis :H:(μ) > 8.0</em>

<em>Degrees of freedom = n-1 = 8-1=7</em>

<em>Test statistic </em>

<em>               </em>t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }<em></em>

<em>              </em>t = \frac{8.25 -8.0}{\frac{0.661}{\sqrt{8} } }<em></em>

<em>            t =  1.076</em>

<em>Critical value </em>

<em>                    t₍₇,₀.₀₅₎   = 2.3646</em>

<em>The calculated value   t =  1.076 < 2.3646 at 0.05 level of significance</em>

<em>Null hypothesis is accepted</em>

<em>Test the hypothesis that the true mean quiz score is 8.0 against the alternative that it is not greater than 8.0</em>

<em></em>

3 0
3 years ago
The larger of two numbers is 15 more than three times the smaller number. If the sum of the two numbers is 63, find the numbers
Amanda [17]

Answer:

The smaller number equals 12, the larger number equals 51.

Step-by-step explanation:

x + (3x + 15) = 63

Combine like terms.

4x + 15 = 63

Subtract 15 from both sides.

4x + (15 -15) = (63 - 15)

4x = 48

Divide both sides by 4.

4x/4 = 48/4

x = 12

Check answer.

12 + (3(12) + 15) = 63

12 + 36 + 15 = 63

63 = 63

7 0
3 years ago
Please help me solve this proof!!!!!
jolli1 [7]

statements:

1.) E is midpoint of TP

2) TP bisects MR


reasons:

1.)given

2) MT is congruent to PR       (I think)


I might be wrong though so dont count on it being right. I hope I helped. ime not that good at math. I m not BAD but yea



6 0
3 years ago
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