Tyler ate x fruit snacks, and Han ateless than that. Write an equation to represent the relationship between the number Tyler ate (x) and the number Han ate (y).

Given:

The series is

[tex]2x+2x^2+2x^3+...+2x^n[/tex]

To find:

Whether the given series is arithmetic, geometric, both, or neither.

Solution:

We have,

[tex]2x+2x^2+2x^3+...+2x^n[/tex]

Difference between consecutive terms are:

[tex]d_1=a_2-a_1[/tex]

[tex]d_1=2x^2-2x[/tex]

[tex]d_1=2x(x-1)[/tex]

And,

[tex]d_2=a_3-a_2[/tex]

[tex]d_2=2x^3-2x^2[/tex]

[tex]d_2=2x^2(x-1)[/tex]

Here, [tex]d_1\neq d_2[/tex].

So, the given series is not an arithmetic series.

Ratio between consecutive terms are:

[tex]r_1=\dfrac{a_2}{a_1}[/tex]

[tex]r_1=\dfrac{2x^2}{2x}[/tex]

[tex]r_1=x[/tex]

And,

[tex]r_2=\dfrac{a_3}{a_2}[/tex]

[tex]r_2=\dfrac{2x^3}{2x^2}[/tex]

[tex]r_2=x[/tex]

Similarly upto last pair of consecutive terms.

[tex]r_{n-1}=\dfrac{a_n}{a_{n-1}}[/tex]

[tex]r_{n-1}=\dfrac{2x^n}{2x^{n-1}}[/tex]

[tex]r_{n-1}=x[/tex]

Since, [tex]r_1=r_2=...=r_{n-1}[/tex], so the given series have a common ratio.

Therefore, it is a geometric series.

Answer:

dude

if 3 = 15

5x = 5.5=25

Step-by-step explanation:

hope it helps

Answer:

a)y^3

o)7a^2

I know only that

Answer:

[tex]\displaystyle \tan\theta=\frac{\sqrt{11}}{11}[/tex]

Step-by-step explanation:

Trigonometric Identities

If the trigonometric function value of an angle is given, we can find the rest of the trigonometric values of the angle by using one or more of the fundamental identities.

To solve this problem, we need to use the following identities:

[tex]\displaystyle \cot^2\theta=\csc^2\theta-1[/tex]

[tex]\displaystyle \tan\theta=\frac{1}{\cot\theta}[/tex]

Since we are given:

[tex]\displaystyle \csc\theta=2\sqrt{3}[/tex]

And the angle is in the first quadrant, calculate the cotangent:

[tex]\displaystyle \cot^2\theta=(2\sqrt{3})^2-1[/tex]

[tex]\displaystyle \cot^2\theta=4*3-1=11[/tex]

[tex]\displaystyle \cot\theta=\sqrt{11}[/tex]

The tangent is:

[tex]\displaystyle \tan\theta=\frac{1}{\sqrt{11}}[/tex]

Rationalizing the denominator:

[tex]\displaystyle \tan\theta=\frac{1}{\sqrt{11}}*\frac{\sqrt{11}}{\sqrt{11}}[/tex]

[tex]\boxed{\displaystyle \tan\theta=\frac{\sqrt{11}}{11}}[/tex]

Answer:

See Explanation

Step-by-step explanation:

The function is not properly given. So, to solve this question I'll assume it is:

f(x) = x² + 3

Required

Calculate the average rate of change on −1 ≤ x ≤ 3.

[The average rate of change (R) is calculated using:]

R = (f(b) - f(a))/(b - a)

[Where]

a ≤ x ≤ b = −1 ≤ x ≤ 3.

[This means that]

a = -1

b = 3

[Solving f(b); We have]

f(x) = x² + 3

[Substitute b for x]

f(b) = b² + 3

[Substitute 3 for b]

f(3) = 3² + 3 = 9 + 3 = 12

[Solving f(a); We have]

f(x) = x² + 3

[Substitute a for x]

f(a) = a² + 3

[Substitute -1 for b]

f(-1) = (-1)² + 3 = 1 + 3 = 4

[So, the equation becomes]

R = (f(b) - f(a))/(b - a)

R = (12 - 4)/(3 - (-1)

R = 8/(3+1)

R = 8/4

R = 2

[Hence, the average rate of change is 2]

Answer:

The Answer is C

Step-by-step explanation:

This applies to your exam.

Answer:

C

Step-by-step explanation:

This is correct on edge 2020.

Answer:

44°

Step-by-step explanation:

It should be the same old angle J

Answer:

A

Step-by-step explanation:

I am a little confused with the "all trees $42" answer but if that means she could buy that size for $42 then I believe that is the answer that should be chosen because for question B, 6 per ft. would likely be 48 because 6x8 = 48, and I don't believe half ft would be $3. As for C, 22 plus 24 is 46. (24 would = $6 x 4 additional ft)

Answer:

whats the question?

Step-by-step explanation:

Answer:

Okay so by the looks of it you need to know how many people aren't in anything.

Step-by-step explanation:

110 + 240 = 350

450 - 350 = 100

100 - 60 = 40

So 40 students are in nothing. But you probably need to know how many students are in band. I would guess around 30 students are in band.

I hope this helped if it didn't I'm sorry.

Answer:

wait im confused open the picture or answer it?

Step-by-step explanation:

Step-by-step explanation:

450450450=100%

? =110%

110×450450450/100

495495495 mins=2nd month

add

495495495+450450450=

945945945 minutes

There are 945 minutes will he read in all during the two months.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Oliver read for 450 minutes this month.

And, His goal is to read for 10% more minutes next month.

Now,

Since, His goal is to read for 10% more minutes next month.

Hence, The extra minutes for next month = 10% of 450 minutes

                                                                 = 10/100 × 450

                                                                 = 45 minutes

Thus, The total minutes to read in all during the two months is,

⇒ 450 + (450 + 45) minutes

⇒ 450 + 495 minutes

⇒ 945 minutes

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Answer:

This Problem has no answer

Step-by-step explanation:

if you have 1 variable you at least 2 facts that aren't the same to solve for the variable

Answer:

This problem does not have a definite answers

It can have infinite answers

Answer:

the correct graph is b for this problem

Answer:

10n-3m

Step-by-step explanation:

Answer:

Its technically impossible to tell if you don't tell us how many throws each person did.

Step-by-step explanation:

but i would guess 40

Answer:

Same I would guess A) 40 as well

Step-by-step explanation:

Answer: M = 6 can i have brainliest?

Step-by-step explanation:

Answer:

m=6

Step-by-step explanation:

First isolate the m by subtracting 165 from both sides.

495-165=330

165-165=0

330=55m

Since you know 330 is 55m to find m all you need to do is divide by 55 on both sides.

330/55=6

55m/55=m

6=m

Step-by-step explanation:

try that hope this helps out

Answer:

2.25

Step-by-step explanation:

2/5 is equal to 4/10

(9/10)/(4/10)

(9/10)*(10/4)

90/40

9/4 = 2.25

(Can be checked if you multiply 4 by 2.25)

Answer:

49/10 or 4 and 9 /10ths

Step-by-step explanation:

The answer is at the top

Answer:

I didn't see any choices listed, but 4.9 as a fraction is 49/10

Answer:

4x3=3x4

Step-by-step explanation:

Given:

Frequency distribution table.

Mode = 34.5

To find:

The value of missing frequency 'f'.

Solution:

Formula for mode is

[tex]Mode=l+\dfrac{f_1-f_0}{2f_1-f_0-f_2}\times h[/tex]

where, l is lower limit of modal class, [tex]f_1[/tex] is frequency of modal class, [tex]f_0[/tex] is frequency of preceding class, [tex]f_2[/tex] is frequency of succeeding class, h is class size.

Mode is 34.5, so the modal class is 30-45. So,

[tex]l=30,f_1=f,f_0=7, f_2=3,h=45-30=15[/tex]

Putting these values in the above formula, we get

[tex]34.5=30+\dfrac{f-7}{2f-7-3}\times 15[/tex]

[tex]34.5-30=\dfrac{f-7}{2f-10}\times 15[/tex]

[tex]4.5=\dfrac{f-7}{2f-10}\times 15[/tex]

Divide both sides by 15.

[tex]\dfrac{4.5}{15}=\dfrac{f-7}{2f-10}[/tex]

[tex]0.3=\dfrac{f-7}{2f-10}[/tex]

[tex]0.3(2f-10)=f-7[/tex]

[tex]0.6f-3=f-7[/tex]

Separating variable terms, we get

[tex]0.6f-f=3-7[/tex]

[tex]-0.4f=-4[/tex]

Divide both sides by -0.4.

[tex]f=\dfrac{-4}{-0.4}[/tex]

[tex]f=10[/tex]

Therefore, the value of f is 10.

Answer:

A special relationship where each input has a single output. It is often written as "f(x)" where x is the input value. Example: f(x) = x/12 ("f of x equals x divided by 12")

Step-by-step explanation:

Answer:

The required equation is:

0.23x = 52

Hence, option A is true.

Step-by-step explanation:

Given

Let 'x' be the initial depth

The snow is now 52 inches deep and it is a 77% decrease.

Let the initial 'x' depth be represented as 100%.

x → 100%

Given the current 52 inches is a 77% decrease. So, we need to decrease the 77/100 or 0.77 from the initial depth, so

[100% - 77%] of x = 52

[100/100 - 77/100] × x = 52

[1 - 0.77] × x = 52

0.23x = 52

Therefore, the required equation is:

0.23x = 52

Hence, option A is true.

Answer:

Explanation:

y= x-4

is in the slope-intercept form for a linear equation,

y= mx+b

, where

m

is the slope and

b

is the y-intercept. In the given equation,

m= 1

and

b= 4

.

To make a table to graph, give various values to

x

and solve for

y

.

Ordered Pairs

x......y

4...8

2....6

0.......4

2......2

4......0

Plot each ordered pair and draw a straight line through the points.

graph{y=-x-4 [-14.24, 14.23, -7.12, 7.12]}

Answer: y = 40 - 3x

Step-by-step explanation:

x = # of days

y= number of hours remaining

40 minus 3 times the number of days Wally volunteers would be the formula to find the number of hours he has remaining after a certain number, x, days.

Answer:

you would take the amount of apples per row and multiply it by the amount of rows, so in this case it would be 55x5000 which is 275000

there's 275000 apples in all

Answer:

if your to factor using the rational roots test it would be (x−2)(x^2+8x+15)

but if your factor using the AC method it would be (x−2)(x+3)(x+5)

Answer:

its A on e2020

Step-by-step explanation:

The actual price is $46.73 lower than the expected price.

The actual price is $46.73 lower than the expected price.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Now, The Formula for Consumer Price Index is,

⇒ [tex]CPI = C_{t} / C_{0}[/tex]

Where, CPI = consumer price index in the current period

Ct = expected cost in current period

C₀ =cost in the base period

Now, It is given that;

Price in base period in 1983 is, C₀= $78.75

The actual cost of the microwave oven = $92.66

Consumer Price Index= 177

So, We Can expected price of microwave oven in the current period

Ct = CPI * C₀ /100

    = 177 × 78.75/100

    = $139.39

Thus, Difference between the actual price and expected price is,

= 139.39 - 92.66

= $46.73

Therefore, The actual price is $46.73 lower than the expected price.

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Answer:

-2y

Step-by-step explanation:

Let's simplify step-by-step.

x−y−(x+y)

Distribute the Negative Sign:

=x−y+−1(x+y)

=x+−y+−1x+−1y

=x+−y+−x+−y

Combine Like Terms:

=x+−y+−x+−y

=(x+−x)+(−y+−y)

=−2y

Answer:

-2y

Step-by-step explanation:

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