complete the table and then find the function rule. Remember to put in the y=mx+b form

Answer:36

Step-by-step explanation:

The required first and smallest term of consecutive terms is 38.

Given that,

The average of five consecutive numbers is 38. The smallest number to be determined.

The average of the values is the ratio of the total sum of values to the number of values.

The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.

The average of five consecutive numbers is 38.
Let the middle value is a,
Series of 5 number can be given as = (a -2n) , (a-n) , a , (a+n) , (a+2n).
n = 5
Average = ( a-2n +a -n + a +a+n+ a+2n)/5
38 = 5a/5
a = 38
Now smallest and first term (n = 1)   = a - 2n
                                                     = 38 - 2(1)
                                                     = 36

Thus, the required first and smallest term of consecutive terms is 38.

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Answer:

So interest rate is 8% per annum

Step-by-step explanation:

Principal amount = $3,006

Amount at end = $3,967.92

Time = 4yrs

interest money = ($3967.92 - $3006)  

also equal to = 4 * (x/100) * $3,006

Where x is the interest rate per annum

So, 4 * (x/100) * $3,006 = ($3967.92 - $3006)

        x = 8%

So interest rate is 8% per annum

[tex] \frac{1}{2} (3 + 4t - 10)[/tex]

[tex] \frac{3}{2} + \frac{4t}{2} - \frac{10}{2} [/tex]

[tex] (\frac{3}{2} - \frac{10}{2}) + 2t [/tex]

[tex] \frac{ - 7}{2} + 2t[/tex]

[tex] - 3.5 + 2t[/tex]

Answer:

In geometry, an angle measure can be defined as the measure of the angle formed by the two rays or arms at a common vertex. Angles are measured in degrees ( °), using a protractor.

Step-by-step explanation:

I belive you asked for the defintion sorry if you weree asking for the anwser, also if u were asking for the anwser let me know and i will anwser it!

Im cacultaing the anwser now! I should be done soon!

Answer:

the answer is closest to D

Two terms between the 1st and the 4th in the given geometric sequence is 21 and 147.

The formula for the nth term in a geometric sequence is given by:

a(n) = a(1) . rⁿ⁻¹

Where:

a(1) = first term

r = common ratio

Parameters given:

a(1) = 3

a(4) = 1029

Substitute n  = 4 into the formula:

a(n) = a(1) . rⁿ⁻¹

a(4) = 3 . r³

1029 = 3 . r³

r³ = 1029/3 = 343

r = 7

Two terms between the 1st and the 4th term is a(2) and a(3).

In a geometric sequence, the following applies:

a(n) = a(n-1) . r

Hence,

a(2) = 3 . r

       = 3 . 7 = 21

a(3) = a(2) . r

       = 21 . 7 = 147

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Answer:

Option D is correct

Step-by-step explanation:

Using the given diagram, we want to know the equation that is true

Option A is wrong as both are on a straight line and in fact should add up to equal 180 and not be equal to each other

Option B is not correct as both are supplementary and does not equal each other

Option C is not correct, both are corresponding to each other and should not add up to 90

Option D is correct

Both angles are supplementary as they are exterior angles that add up to 180

Answer:

Step-by-step explanation:

the correct answer is D

Answer:

slope is y=10x.

Slope shows that she is consistently burning 10 calories per minute

Step-by-step explanation:

Answer:

6.666..

Step-by-step explanation:

The six keeps repeating unless you round the decimal

Answer:

d. 22%

Step-by-step explanation:

Yellow tokens = 11

Total tokens = 50

Probability of drawing yellow = 11/50 = 0.22

Multiply it by 100

you'll get 0.22*100 = 22 %

Hope you got it.

Answer:

y =4

x=1

Step-by-step explanation:

in comment

sbajbaaj

The descriptions of the quadratic functions f(x) and g(x) are as follows:

f(x) = [tex]-2x^{2} +9[/tex]

x g(x)

0 −5

1 3

2 11

3 3

4 −5

Which sentence compares the two functions' maximum values the most effectively?

(a)The maximum value is the same for both functions.

(b) f(x) has a greater maximum value than g(x).

(c) The greatest value of g(x) is bigger than that of f(x).

(d) The maximum values cannot be determined.

The statement that best compares the maximum value of the two functions is g(x) has a greater maximum value than f(x) that is Option (c).

The maximum value is the point at which a function reaches its peak is known as its maximum value.

To compare both functions.

Take function f(x)= [tex]-2x^{2} +9[/tex]

Differentiate the function f(x)

f'(x) = -4x

Take f'(x) as 0

-4x = 0

x = 0

Substitute x = 0 in f(x)

f(0) = [tex]-2(0)^{2} +9[/tex]

f(0) = 9

This means that the greater value of function f(x) is 9.

From the table of function g(x), the maximum is 11.

11 is greater than 9

Therefore, The greater value of g(x) is bigger than that of f(x).

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Answer:

0.8333 pounds

Step-by-step explanation:

1/3 of 2 1/2 is 0.83 pounds

Answer: 1/2

Step-by-step explanation: first, change 1 1/2 into 3/2 (1/3*3/2). then, cross reduce (1*1/2). multiply, and then you have your answer

Answer:

0.874 < p <0.926

Step-by-step explanation:

The population proportion lies in the interval 0.8738 < p < 0.9262 with 95% confidence.

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.

Given, A sample having n = 500, p = 0.90, and we have to construct a 95% confidence interval.

We know the confidence interval for a population proportion is,

CI = [tex]P \pm Z_\frac{\alpha}{2}\sqrt{\frac{P(1 - P)}{n}}[/tex].

CI = 0.9 ± 1.96×{√(0.9×0.1)/500}.

CI = 0.9 ± 1.96×√(0.09/500).

CI = 0.9 ± 1.96×0.0134.

CI = 0.9 ± 0.0262.

Therefore,    0.9 - 0.0262 < p < 0.9 + 0.0262.

0.8738 < p < 0.9262.

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Answer: 1.)2.29   2.)16.21   3.)6.3  4.)20.555  5.)52.29

1.)12.74  2.)2.832  3.)14.25  4.)333.98  5.)77.4 Glade to help

Step-by-step explanation:

Answer:

-2 is the y intercept

Step-by-step explanation:

this is because it is in the y=mx+b format so 5x=mx therefore b=-2 making -2 the y intercept

Answer:

Step-by-step explanation:

The y intercept is the value where x = 0

y = 5(0) - 2

The y intercept is (0,-2).

The best way to confirm this is to graph it. Use Desmos.

Answer:

37

Step-by-step explanation:

If you do the reverse equation, that is -72 divided by -4 which gives you 18. Then you add 19 to that 18 and you get 37.

Answer:

the answer is 37

Step-by-step explanation:

37 - 19 = 18

18 x -4 = -72

Answer:

I think its C. correct me if I'm wrong

Step-by-step explanation:

Answer:

14.00x .15=2.10

14.00+2.10=16.10

Step-by-step explanation

$16.10

Answer: Each pack of pencils cost $6.

Step-by-step explanation: Rosemary had $25 and was left with $1, so she spent $24 in total for four packages, therefore, you can divide $24 into 4 to find out the individual cost, which is $6.

Answer:

6 dollars each

Step-by-step explanation:

25-1= 24 and 24÷4= 6

Answer:

c

Step-by-step explanation:

Step-by-step explanation:

B) not an arithmetic sequence

 d not equal in the sequence

The probability is 7/5.

A person is randomly selected from a group of 1000 people.

We have,

440 people use glasses and must wear them.

20 wear glasses but are not required to do so.

140 people who should wear glasses but don't

400 if you don't need to wear glasses, don't wear them.

Therefore, the probability that the person does not wear glasses while driving even though he or she needs to wear them is:

P ( he or she does not wear glasses and needs to wear them / Total number of people surveyed ) = 140 / 100

P = 14 / 10

P = 7 / 5

The probability that he or she drives without wearing eyeglasses despite the fact that they are required is 7 in 5.

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Answer:

May you put the question is? Or the screenshot of it?

Step-by-step explanation:

Answer:

What do you need help with?

Answer:

4 flavours and 4 topping

mark as brainliest

and put thanks

^_^

Answer/step-by-step explanation:

I believe that the answer is B. 2 flavors and 2 toppings.

I see a total of 8 possibilities with this combo:

1.) Flavor 1 by itself.

2.) Flavor 2 by itself.

3.) Flavor 1 with Topping 1.

4.) Flavor 2 with Topping 1.

5.) Flavor 1 with Topping 2.

6.) Flavor 2 with Topping 2.

7.) Flavor 1 with both toppings.

8.) Flavor 2 with both toppings.

Hope this helps! :D

Answer:

1436.03 mm³

Step-by-step explanation:

I believe the 7mm should be the radius?

The volume of a sphere is [tex]\frac{4}{3}[/tex]πr³

[tex]\frac{4}{3}[/tex]π * 343

since pi is rounded to 3.14, we get

1436.026 mm³