Given the graph below, what is the average rate of change between 1 year and 4 years
of age?

Answer:

The common difference d is d = -3

The recursive formula is: [tex]\mathbf{a_n=a_{n-1}-3}[/tex]

Step-by-step explanation:

We need to find the common difference and the recursive formula.

a. 22, 19, 16, 13, …

First we will find common difference

The formula of arithmetic sequence is: [tex]a_n=a_1+(n-1)d[/tex]

where a_n is nth term, a_1 is 1st term and d is the difference

Looking at the sequence we get: a_1=22, a_2=19

Using these values we can find d, the common difference

[tex]a_n=a_1+(n-1)d\\put\:n=2, a_2=19, a_1=22\\19=22+(2-1)d\\19=22+d\\d=19-22\\d=-3[/tex]

So, the common difference d is d = -3

Now, we will find the recursive formula:

The recursive formula is of type: [tex]a_n=a_{n-1}+d[/tex]

We have found common difference d = -3

So, the recursive formula will be:

[tex]a_n=a_{n-1}+d\\a_n=a_{n-1}+(-3)\\a_n=a_{n-1}-3[/tex]

The recursive formula is: [tex]\mathbf{a_n=a_{n-1}-3}[/tex]

Answer: 225

Step-by-step explanation: 90 + 90 = 2hrs. 0.5 hrs = 45, so 90+90+45=180+45=225

Answer:

7

Step-by-step explanation:

26/2 = 13

13 - 6= 7

Answer = 7

Answer:

1.2599

Step-by-step explanation:

Answer:

[tex]slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } \\ = \frac{( - 9 - ( - 5))}{(6 - ( - 5))} \\ = \frac{ - 4}{11} \\ slope = - \frac{4}{11} [/tex]

Answer/Step-by-step explanation:

6. Given, (-5, 2) and (1, -2):

[tex] \frac{rise}{run} = \frac{y_2 - y_1}{x_2 - x_2} [/tex]

[tex] = \frac{-2 - 2}{1 - (-5)} [/tex]

[tex] = \frac{-4}{6} [/tex]

[tex] = \frac{-2}{3} [/tex]

9. Given, (4, 10) and (-2, -5):

[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_2} [/tex]

[tex] = \frac{-5 - 10}{-2 - 4} [/tex]

[tex] = \frac{-15}{-6} [/tex]

[tex] slope = \frac{5}{2} [/tex]

Answer:

0.44 (44%) of the students are boys.

Step-by-step explanation:

Hope this helps!

✧◝(⁰▿⁰)◜✧

Answer:

x=17

Step-by-step explanation:Get everything to one side by using addition and subtraction and combine like terms. Once you have that set it equal to zero and put the b in Mx+b on the other side then divide it by m and you’ll have x

Answer:

Unit Rate: 16/5 chapters per hour

Step-by-step explanation:

4/5 divided by 1/4 = 4:5, 4:1 = 4/5 x 4/1 = 16/5

Answer: Did, Are Changed , Did not change

Step-by-step explanation:

Answer: 3,285 Liters

Step-by-step explanation:

In the actual case, all your flushes consume 6 L of water.

You flush 4 times per day, then you consume 4 times 6 L per day, this is:

4*6L = 24 L per day.

And in one year there are 365 days, then in one year you consume:

365*24 L = 8,760 L

Now, if you upgrade the toilet, now per day you use:

one time 6 L and 3 times 3 L

Then in day, you use:

1*6 L + 3*3 L = 6L + 9L = 15L

And in the complete year, you will use 365 times that, which is:

365*15 L = 5,475 L

The amount of water that you would save is equal to the difference between the amount that you use in one year with no upgrade (8,760 L) and the amount that you would use in a year if you upgraded your toilet ( 5,475 L)

The difference is:

D = 8,760 L - 5,475 L = 3,285 L

This means that, in this situation, you would save 3,285 liters of water per year if you upgrade your toilet.

Answer:

9/2

Step-by-step explanation:

9*2/4 = 9*1/2 = 9/2

Answer:

9/2

Step-by-step explanation:

Answer:

Segment DO

Step-by-step explanation:

The first option is not the radius because A is going outside of the circle and it would actually be longer than the radius.

BC is too high up, and it's considered a chord, not the radius.

DE is the diameter, not the radius.

That leaves us with 1 answer remaining.

Answer: Greg would have taken 4 breaks, you pretty much multiply the breaks by 2 because 4 x 2 is 8 hours and 2 x 2 is 4 breaks. In total he would have taken 4 breaks yesterday for a total of 60 minutes. I hope that this helped you!

Step-by-step explanation:

Answer:

y = 10/3x + 20

Step-by-step explanation:

First, we need to find the slope of the function. We can do that by using two points and inserting them into the slope formula. It can be any two but I'll just pick (3, 30) and (6, 40).

m = y₁ - y₂ / x₁ - x₂

m = 30 - 40 / 3 - 6

m = -10/-3

m = 10/3

Now we know the slope is 10/3.

In slope-intercept form, the y-intercept is the constant at the end of the equation. The table of values tells us that the y-intercept is located at (0, 20). So the equation of the linear function is y = 10/3x + 20.

Step-by-step explanation:

Answer:

perimeter= 4+4+3

11

Step-by-step explanation:

....

Answer:

(3, 1)

Step-by-step explanation:

y = -4x² + 24x - 35

Find the vertex by using the formula:

In this problem, we have:

Using 24 for b and -4 for a, we can substitute these values into the vertex formula:

The h-value for the vertex is 3.

Now let's plug 3 back into the standard form equation to solve for the k-value of the vertex.

The k-value for the vertex is 1.

The vertex of the parabola is (3, 1).

Answer:

if i understood right..

Step-by-step explanation:

... 2-6+3= 1

4×5= 20

1×20=20

the answer is 20.

I'm sorry if i understood the wrong thing.

Answer:

Pencils=2

Step-by-step explanation:

Pencils-n

-0.70 - 0.70 = -3.5

0.70p + 0.30 = 2.7

-0.4n = -0.8

-0.4      -0.4

n=2

Answer:

10

Step-by-step explanation:

7-(-3)

=7+3

=10

Hope this is helpful

Answer:

10

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Determine what is closer to 2 4/11.

you would- 4/11 to get 2

you would +6/11 to get 3.

So 2 is closer

Do the same with 16 1/5

16 is closer

therefore, it is 2*16=32

Answer:

Step-by-step explanation:

A, -12

if she had an x amount on her card,

after the buys the songs, she will have x-12 left

Answer:

m∠B = 170°

Step-by-step explanation:

Sum of all angles in quadrilateral is 360°:

m∠A + m∠B + m∠C + m∠D = 360°

m∠B = 360° - m∠A - m∠C - m∠D

m∠A = 90°

m∠B = m∠D= 50°

m∠B =  360° - 90° - 50° - 50° = 170°

Answer: all i can do hope this helps a bit 2. 130 degrees

5. 13 units

Answer:

gracias por los puntos amiga

Answer:

34 inches cubed

Step-by-step explanation:

1×4×8.5=4×8.5=2×17=34

Answer:

a. The mean number of cavities a person gets filled by the age of 50 is 7.1.

b. The medium number of cavities a person gets filled by the age of 50 is 8.

c. The most occuring number of cavities filled in the data set is 8.

Answer:

No, 10 trials (flips) is not enough evidence to determine if the coin is fair. We would need many, many more flips to determine the true proportion of heads for this coin.

This is the answer Edge 2020

Statement fourth "No, 10 trials (flips) is not enough evidence to determine if the coin is fair. We would need many, many more flips to determine the true proportion of heads for this coin" is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that

shows the happening of the event.

We have:

You and your brother flip a special golden dollar coin to decide who gets to select the music when the two of you are in the car.

As we know the coin has two sides so

The total outcomes = 2

Then the probability of getting hear or tell is 1/2 or 0.5

If the coin has come up heads(in your brother's favor) on 8 of the last 10 flips.

Since the number of flips is too less for the evidence that your brother is using an unfair coin to gain an advantage.

Thus, statement fourth "No, 10 trials (flips) is not enough evidence to determine if the coin is fair. We would need many, many more flips to determine the true proportion of heads for this coin" is correct.

Learn more about the probability here:

brainly.com/question/11234923

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