The exponential function f, represented in the table, can be written as
f (x)=a*b^x

x | y
___
0|5
1 | 8

Complete Question

The dot plot shows the number of participants in each age group in a science fair. Which of the following statements is not supported by the dot plot?

A The range is 6.

B The mean of the ages is about 14.4.

C The mode of the ages is 13.

D The median of the ages is 15.

Answer:

(C) The mode of the ages is 13.

Step-by-step explanation:

The given dot plot is attached.

From the dot plot, there is no participant aged 13. Therefore, the mode of the ages cannot be 13. The mode is actually 15.

Therefore, Option C is not supported by the dot plot.

Answer: postitive skewed

this is correct

Answer:

B. y=[x]+4

when you plug it into the calculator you get b

Answer: 19.21

Step-by-step explanation:

12^2 + b^2 = 15^2

subtract 12^2 from both sides

b^2 = 15^2 - 12^2

b^2 = 81

b = 9

credit to melissanix90 for helping

Hope this helps :)

Answer:

1/6 of 48 is 8

1/10 of 40 is 4

3/4 of 24 is 18

2/5 of £65 is £26

7/10 of £96 is £67.2.

Step-by-step explanation:

I did the math.

Answer:

35 square cm

Step-by-step explanation:

[tex]area \: of \: trapezoid = \frac{1}{2} (3 + 4 + 3) \times 7 \\ = \frac{1}{2} \times 10 \times 7 \\ = 5 \times 7 \\ = 35 \: {cm}^{2} [/tex]

Answer:

After 6 seconds, the ball will hit the ground.

Step-by-step explanation:

f(x)=-x^2 + 4x + 12

Since we want to see when it touches the ground, the height must be equal to 0, so f(x) has to equal 0.

0=-x^2 + 4x + 12

If you factor this equation, you'd get:

(-x + 6)(x + 2) = 0

We get the 2 and the 6 from the factors of 12. The two factors of 12 have to be able to add or subtract into 4, and in this case, 6-2 is 4. (If you multiply this equation out, you'd get the same one you started with)

Since we need it to equal 0, the way to multiple to 0 is to have a zero itself. This means that either (-x+6) is equal to 0 or (x+2) is equal to 0. The only x values that satisfy this is 6 and -2. You can't have -2 seconds after, so it has to be 6.

Hope that helps.

Step-by-step explanation:

I think the answer is one

The perimeter equals 10.5 cm.

If the smallest side is 3cm, that means that there are two sides that equal 3cm because the third side is larger, so it can't be the smallest. This means we know that the third side must equal 3 × 1.5 = 4.5.

Now we just need to add up all the side lengths, which gives us 3 + 3 + 4.5 = 10.5

I hope this helps!

Answer:

I think this is what you want:

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer: [tex]6<z<18[/tex]

Step-by-step explanation:

Use the pythagorean theorem to find z first.

[tex]c^2=a^2+b^2\\c=\sqrt{a^2+b^2}[/tex]

a = 12

b = 6

c = z

[tex]c=\sqrt{(12)^2+(6)^2}\\ c=\sqrt{144+36}\\ c=\sqrt{180} \\c=13.4[/tex]

z is greater than a and b

Answer:

The answer is A.

Step-by-step explanation:

You have to use the formula of volume of cone,

[tex]v = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]

Given that the diameter of cone is 10 units so the radius is 5. Then substitute the followung values into the formula :

Let r = 5 units,

Let h = 45 units,

[tex]v = \frac{1}{3} \times \pi \times {5}^{2} \times 45[/tex]

[tex]v = \frac{1}{3} \times \pi \times 1125[/tex]

[tex]v = 375\pi \: \: {units}^{3} [/tex]

Answer:

[tex]375\pi \: \: units ^{3} [/tex]

Step-by-step explanation:

[tex]v = \pi {r}^{2} \frac{h}{3} \\ =\pi \times 5 \times 5 \times \frac{45}{3} \\ = \pi \times 25 \times 15 \\ = 375\pi \: \: units ^{3} [/tex]

Answer:

the area would be 15 square units.

All you have to do is find the length and the height from the points given.

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

4*3=12

12+8=20

8/2=4

20/4=5

Answer:

F(n) = F(n-1) + F(n-2), therefore, we have:

The 5th term would  be: 12 + 19 = 31

The 6th term would be: 19 + 31 =50

Hope this helps!

:)

Answer:

363

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 92 and d = - 85 - (- 92) = - 85 + 92 = 7 , thus

[tex]a_{66}[/tex] = - 92 + (65 × 7) = - 92 + 455 = 363

Answer:

363.

Step-by-step explanation:

We see that each term increases by 7.

This is an arithmetic sequence with first term (a1) = -92  and the common difference (d) is 7.

an = a1 + (n - 1)d

a66 = -92 + (66 - 1)7

= -92 + 455

= 363.

Answer:

70 and 21

Step-by-step explanation:

6parts of the ratio represents 84 students

Divide 84 by 6 to find the value of one part of the ratio

84 ÷ 6 = 14 ← value of 1 part of the ratio, thus

5 parts = 5 × 14 = 70 ← number of Michigan students

Indiana students = 175 - (84 + 70 ) = 175 - 154 = 21

Answer:

The range of x values for which y is unique is 2·π

Step-by-step explanation:

For a function j: X → Y to be invertible, we have that for every y in Y, there is associated only one x which is an element of x

Hence, f(x) = cos(x - π/4) gives

the x intercept at two penultimate points of the graph of cos(x - π/4) are;

x = 2.36, and x = 8.64

x = 3/4·π, and x = 2.75·π = [tex]2\tfrac{3}{4}\cdot \pi[/tex]

Hence the range of x values for which y is unique is presented as follows

[tex]2\tfrac{3}{4}\cdot \pi - \frac{3}{4}\cdot \pi = 2}\cdot \pi[/tex]

The range of x values for which y is unique = 2·π.

Answer:

D. 18x-0.08y

Step-by-step explanation:

He will make 18 monthly payments of x dollars on the total amount leftover after paying an 8% down payment. So his finance charge is payment minus down payment: 18x-0.08y

The expression correctly represents Adam's finance charge is

C. 18x-0.92y.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

From, The given information,

8% of the downpayment is (8/100)×y = 0.08y and te total monthly payment is 18x.

Therefore,

The phrase that accurately describes Adam's finance charge is,

y = 0.08y + 18x.

y - 0.08y = 18x.

0.92y = 18x.

18x - 0.92y = 0.

learn more about numerical expressions here :

https://brainly.com/question/29199574

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$3828.85 is in the account at the end of 5 years which is correct option(B).

What is Compound interest?

Compound interest is defined as interest paid on the original principal and the interest earn on interest of principal.

p = $3000

r = 5%

t = 5 years

[tex]A = p(1+\frac{r}{100} )^t[/tex]

substitue the values of p,r and t in formula,

[tex]A = 3000(1+\frac{5}{100} )^5[/tex]

[tex]A = 3000(1+0.05} )^5[/tex]

[tex]A = 3000(1.05} )^5[/tex]

A = 3000(1.276)

A = 3828.85

Hence, $3828.85 is in the account at the end of 5 years.

Learn more about Compound interest

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Answer:

sorry i dont this answer

Answer:

0.79

Step-by-step explanation:

Let's find the area of these two shapes- the square and the circle.

For the square, we know the area is length times width, which is 4x4, which is 16.

For the circle, the area is [tex]\pi r^2\\[/tex] and r is 2, so the area of the circle is 12.56.

Dividing 12.56 by 16, we get a number roughly around 0.79.

Answer:

14.34 in

Step-by-step explanation:

calculator website i'll link below

Answer:

1000 times

Step-by-step explanation:

900000 divide 900 equals 1000

Answer:

it would be 1000 times.

Step-by-step explanation:

All you have to do is find out how many zeros you can put before the 900 and then put a one after it. And don't mind all of the other numbers. They don't matter in this equation. Pretend they are all zeros.

900,000

000,900

You see how many zeros there are before the 900.

Then just add a one 1000

Answer:

60%

Step-by-step explanation:

21/35 = x/100

x = 60

First, we need to make a visual. I can do this by making a list, like in a data set. Let b = blue and r = red.

(b, b, b, r, r, r, r)

Note that this is not necessarily the order.

Now we can modify the order.

1. The first car is blue

This is already done!

2. The last car is blue.

We can trade the second blue with the last red.

(b, r, b, r, r, r, b)

3. The middle car is blue.

We can trade the middle red with the third blue.

(b, r, r, b, r, r, b)

This arrangement we have created follows the rules. It is one possible queue!

5. But we aren't done yet! We need to figure out if there are any more arrangements.

There is none. We know this because there are only three cars that are blue, and three spots these cars MUST park in.

Therefore, we could not swap any colors without maintaing the rules.

Answer: There is one possible arrangement of the queue:

(b, r, r, b, r, r, b)

Please let me know if this was helpful, or if you have any questions. If you have time, I'd be so grateful for a rating!

Answer:

144

Step-by-step explanation:

According to the question, we can represent the pattern of the red and blue cars in the following way below:

B, R, R, B, R, R, B

We are given that there are 3 blue and 4 red cars in total

The first blue car has 3 possibilities, and each time a blue car is parked, we now have one less possibility (the same can be done with the red cars)

So, the number of possibilities for each spot in the pattern can be multiplied together:

3 x 4 x 3 x 2 x 2 x 1 x 1 = 144

Hope this helps!

Answer:

Mean = [26 + 31 + 39 + 32]/4 = 32

MAD = (1/4) x [|26 - 32| + |31 - 32| + |32 - 32| + |39 - 32|] = (1/4) x 14 = 3.5

Hope this helps!

:)

Answer:

3.5 putts

Step-by-step explanation:

Mean: 26 + 31 + 32 + 39 = 128/4 = 32

32 - 26 = 6

32 - 31 = 1

32 - 32 = 0

32 - 39 = 7

Mean Absolute Deviation (MAD): 6 + 1 + 0 + 7 = 14/4 = 3.5

~ hope this helps you, have a good day ~

Original Population = 1236000

Growth Rate = 1.3% per year

Since the population grows at an exponential rate, we can say that the growth of the population is an exponential growth.

Using the formula of exponential growth

population after 10 years = Original population (1-1.3%)^10

= 1236000 {1+(1.3/100)}^10

= 1236000 (1+0.013)^10

= 1236000 × 1.013^10

= 1236000 × 1.13787

= 1406407.32