A small juice box is shown.


About how many cubic centimeters of juice will the box hold?

20
100
200
700

The Taylor series of F(x) = 11 - x centered at x = 8 is F(x) = 3 - (x - 8). To find the Taylor series of the function F(x) = 11 - x centered at x = 8, we need to determine the coefficients of the series by calculating the function's derivatives and evaluating them at the center point.

The Taylor series for F(x) centered at x = 8 is:

F(x) = F(8) + F'(8)(x - 8) + F''(8)(x - 8)^2/2! + F'''(8)(x - 8)^3/3! + ...

First, let's find the derivatives of F(x):

F(x) = 11 - x
F'(x) = -1
F''(x) = 0 (and all higher-order derivatives will also be 0)

Now, let's evaluate the derivatives at x = 8:

F(8) = 11 - 8 = 3
F'(8) = -1
F''(8) = 0

Since the second and higher-order derivatives are all 0, the Taylor series simplifies to:

F(x) = 3 - 1(x - 8)

So, the Taylor series of F(x) = 11 - x centered at x = 8 is:

F(x) = 3 - (x - 8)

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Answer:

m=1

c=7

I hope it will be useful.

To arrive at the train station 10 minutes before your train is due to leave at 12:15, you need to leave home at 10:10. the time that you need to leave home to arrive at the station 10 minutes before the train leaves is 10:10.

Given,You need to arrive at the train station 10 minutes before your train is due to leave at 12:15.The journey to the station usually takes 45 minutes.But, today you have to pick up a friend on the way. This adds an extra 20 minutes to your journey.We need to calculate, What time do you need to leave home in order to arrive at the station 10 minutes before the train leaves.

As given, the journey usually takes 45 minutes.But today, you are picking up your friend on the way, which adds an extra 20 minutes to your journey.Therefore, your journey to the station today will take 45 + 20 = 65 minutes.The train is scheduled to leave at 12:15 and you need to arrive at the station 10 minutes before, i.e., at 12:05. So, you need to reach at the station at 12:05 - 10 minutes = 11:55.From 11:55 to 12:05, there are 10 minutes. So, the maximum time that you can take to reach the station is 65 - 10 = 55 minutes.Therefore, you need to leave home at 12:15 - 55 minutes = 11:20.However, the answer is not in the correct 24-hour clock format. So, the time that you need to leave home to arrive at the station 10 minutes before the train leaves is 10:10.

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The solution to the system of linear equations is, (2.3, 4.1)

Given the system of the equation:

Equation number 2 can be written as

\(x=\dfrac{y+7}{5}\)

Put the value of x in equation number 1 we will get

⇒      \(2\times\dfrac{y+7}{5} +3y=16.9\)

⇒  \(2x+14+15y=84.5\)

⇒ \(y=4.1\)

Put the value of y in equation number 2 we will get value of x.

\(5x=y+7\)

\(x=\dfrac{y+7}{5}\)

\(x=\dfrac{4.1+7}{5}\)

\(x=2.3\)

Hence the solution to the system of linear equations is, (2.3, 4.1)

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Answer:

y       t

_  = _

2     1

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

The corresponding vertical sides are y and 2

The corresponding horizontal lines are x and 1

so

The proportion is equal to

Answer:

m = 5, n = - 1

Step-by-step explanation:

Given

x² + 4x - 5

Consider the factors of the constant term (- 5) which sum to give the coefficient of the x- term (+ 4)

The factors are + 5 and - 1 , since

5 × - 1 = - 5 and 5 - 1 = + 4 , then

x² + 4x - 5 = (x + 5)(x - 1)

with m = 5 and n = - 1

The system of equations that models this situation is:

j + s = 25 (equation 1)

s = 2j - 5 (equation 2)

In equation 1, we know that the total number of lawns mowed by Jim and Sally is 25.

In equation 2, we know that Sally mows 5 less than twice the number of lawns Jim mows. By substituting equation 2 into equation 1, we can solve for j and s.

j + (2j - 5) = 25

3j = 30

j = 10

Substituting j = 10 into equation 2, we can solve for s.

s = 2(10) - 5

s = 15

Therefore, Jim mows 10 lawns and Sally mows 15 lawns. The system of equations that models this situation is:

j + s = 25

s = 2j - 5

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The ways are the \(C_{20} ^{90}\) which are we  there to select the applicants who will be hired with the help of combination.

According to the statement

we have to find that the number of ways are there to select the applicants who will be hired.

So, For this purpose, we know that the

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Here we use the combination.

And from the given information:

20 applicants from a pool of 90 applications will be hired.

And according to this the combination becomes:

\(C_{20} ^{90}\)

then solve it

\(C_{20} ^{90} = \frac{90!}{20! (70!)}\)

\(C_{20} ^{90} = \frac{90*89*88*87*86*85*84*83*82!}{20*19*18*17*16*15*14!}\)

Then after solve it

\(C_{20} ^{90} = \frac{89*11*87*43*14*83*82!}{19*14!}\)

Now open another factorial

\(C_{20} ^{90} = \frac{89*11*87*43*14*83*82*81*80*79*78*77*76*75*74*73*72*71}{19*14*13*12*11*10*9*8*7*6*5*4*3*2*1}\)

Now solve this then

\(C_{20} ^{90} = {89*11*87*43*83*82*79*15*74*73*71}\).

So, The ways are the \(C_{20} ^{90}\) which are we  there to select the applicants who will be hired with the help of combination.

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Answer:

-4/3

Step-by-step explanation:

We can find the slope of the line using

m = ( y2-y1)/(x2-x1)

m = ( -9 -3)/( 8 - -1)

   = ( -9-3)/( 8+1)

   = -12 / 9

  = -4/3

Answer:

\(\sf m=-\frac{4}{3}\)

Step-by-step explanation:

First, select any two coordinates of the line.

( -1, 3 ) ⇒ ( x₁ , y₁ )

( 2, -1 ) ⇒ ( x₂ , y₂ )

And now let us use the below formula to find the slope of the line.

\(\sf m= \frac{y_1-y_2}{x_1-x_2} \\\)

Let us find the slope now.

\(\sf m= \frac{y_1-y_2}{x_1-x_2} \\\\\sf m= \frac{3-(-1)}{-1-2} \\\\\sf m= \frac{4}{-3}\\\\\sf m=-\frac{4}{3}\)

Answer:

Step-by-step explanation:

on the edge of a cliff overlooking the Pacific ocean. You see a sailboat down in the water below you. The angle of depression to the sailboat is 28◦ . A quick tells you that the cliff you’re standing on is 150ft. How far away from the boat are you, in feet, rounded to one decimal place?(30pts)

We solve using the Trigonometric function of TANGENT

tan 28 = 150/x

yes, the probabilities associated with each X are all positive and they all add up to 1.

What is probability?

The probability of an event can be calculated using the probability formula by simply dividing the favourable number of possibilities by the total number of outcomes. The likelihood of an event occurring can be anywhere between 0 and 1, as the favourable number of outcomes can never exceed the total number of outcomes.

For the given probability distribution, we have

A) The sum for all probabilities in the second column is 1. So, this is a probability distribution.

b) yes, the probabilities associated with each X are all positive and they all add up to 1 in the given table.

Hence, the probabilities associated with each X are all positive and they all add up to 1

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Answer:

Step-by-step explanation:

10

Answer:

x=52

Step-by-step explanation:

One of the properties of parallelograms is that angle A = Angle C

5y-54 = 3x eq1

Another property of parallelograms is that angle A + angle B = 180 degrees

5y-54+2y-60 = 180

7y = 180+114 = 294

y = 42

Putting this value in eq1

3x = 5*42-54 = 210-54 = 156

x = 52

Answer: 218.5

Step-by-step explanation:

Detailed steps are shown in the attached document below.

You can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

To calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation with 10% interest compounded monthly, we can break down the problem into two parts:

Calculate the accumulated balance after 15 years of regular deposits:

We can use the formula for the future value of a regular deposit:

FV = P * ((1 + r/n)^(nt) - 1) / (r/n)

where:

FV is the future value (accumulated balance)

P is the regular deposit amount

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

P = $125.00 (regular deposit amount)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 15 (number of years)

Plugging the values into the formula:

FV = $125 * ((1 + 0.10/12)^(12*15) - 1) / (0.10/12)

Calculating the expression on the right-hand side gives us the accumulated balance after 15 years of regular deposits.

Calculate the balance after an additional 5 years of accumulation:

To calculate the balance after 5 years of accumulation with monthly compounding, we can use the compound interest formula:

FV = P * (1 + r/n)^(nt)

where:

FV is the future value (balance after accumulation)

P is the initial principal (accumulated balance after 15 years)

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

Given the accumulated balance after 15 years from the previous calculation, we can plug in the values:

P = (accumulated balance after 15 years)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 5 (number of years)

Plugging the values into the formula, we can calculate the balance after an additional 5 years of accumulation.

By following these steps, you can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

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Answer:

D

Step-by-step explanation:

If we reduce \(\frac{15}{12}\) This comes to \(\frac{5}{4}\).  Thus D is the answer

The amount raised in the west in scientific notation is 8.650  × 10³.

The four region raised 5.38 × 10⁴ dollars(53800)

According to the table,

Amount east raised = 1.46 × 10⁴ = 14600

Amount North raised = 2.38 × 10⁴ = 23800

Amount South raised =  6.75 × 10³ = 6750

Therefore, the amount raised in the west can be calculated as follows;

amount raised in the west = 53800 - 14600 - 23800 - 6750

amount raised in the west = 8650

amount raised in the west = 8.650  × 10³

Therefore, the amount raised in the west in scientific notation is 8.650  × 10³.

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Answer: not sure

Step-by-step explanation: uhhh this ain't clear. how many boxes are there?

Answer:

option 4

Step-by-step explanation:

Given Equation :-

=> -4| x + 9 | = -8

To FinD :-

=> Solution of the equation .

Solving it :-

=> -4| x + 9 | = -8

=> | x + 9 | = -8/-4

=> |x + 9| = 2

=> ( | x + 9 | )² = 2²

=> x + 9 = ±2

=> x = -9 +2 , -9-2

=> x = - 7 , -11

Option 4 is correct.

Answer:

x = - 7 , - 11

Step-by-step explanation:

\(-4 | x +9| = - 8\\\\\frac{-4}{-4} |x+9| = \frac{-8}{-4}\\\\1 | x+9| = 2\\\\x+9 = - 2\ , x + 9 = 2\\\\x + 9 - 9 = - 2 - 9 , \ x + 9 - 9 = 2 - 9\\\\x + 0 = - 1 1 \ , \ x + 0 = - 7\\\\x = -11 \ , \ x = - 7\)

The answer is "inelastic". When demand is inelastic, changes in price do not significantly affect the quantity of goods or services demanded.

This means that increases in price result in increases in total revenue, while decreases in price result in decreases in total revenue. Inelastic demand occurs when consumers are not very responsive to changes in price and do not have good alternatives to the product or service being offered. Examples of products with inelastic demand are necessities like food, medicine, and gasoline, where consumers will continue to purchase the product regardless of price changes because they need it for daily living. On the other hand, products with elastic demand, like luxury items or non-essential goods, will see a significant decrease in demand when prices increase.

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Answer:

£53.40

Step-by-step explanation:

The shop has an offer where you:

buy 1 T-shirt and get 1 free

buy 3 jumpers and get 2 free

This means if a person pays for 1 T-shirt, he/she gets two and if he/she pays for 3 jumpers, he/she gets 5.

Therefore, to buy 4 T-shirt, you have to pay for 2 and to buy 5 jumpers, you have to pay for 3.

1 T- shirt costs £4.80, therefore, 2 will cost:

2 * 4.80 = £9.60

1 jumper costs  £14.60, therefore, 3 will cost:

3 * 14.60 = £43.80

Therefore, the customer will sped a total of:

43.80 + 9.60 = £53.40

The customer will pay £53.40 to get 5 jumpers and 4 T-shirts using this offer.

Answer:

427.09

Step-by-step explanation:

(2.75 x 107) + (1.23 x 108)

294.25 + 132.84 = 427.09

Answer:

Step-by-step explanation:

To find g[f(2)], we need to evaluate the composite function g[f(2)] by first finding f(2) and then substituting the result into g(x).

Let's start by finding f(2):

f(x) = 2x² - 3x

f(2) = 2(2)² - 3(2)

= 2(4) - 6

= 8 - 6

= 2

Now that we have the value of f(2) as 2, we can substitute it into g(x):

g(x) = 5x - 1

g[f(2)] = g(2)

= 5(2) - 1

= 10 - 1

= 9

Therefore, g[f(2)] is equal to 9.

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Answer:

It will add 20

Step-by-step explanation:

If the mean is 50, we can make the guess that maybe there are 10 children with all 50. If we add 20 then the mean becomes 70.

Answer:

Part A:

1 book -- $7.25

9 books -- (9 * 7.25) = $65.25

And shipping fee -- (65.25 + 6.75) = $ 72

Part B

9 multiplied by the cost and added with the shipping fee to get Hannah's total cost.

Thenks and mark me brainliest :))

If there is a significant difference in the average vitamin D levels between the control group and the experimental group receiving vitamin D supplements then t-test can be used to determine the significance of the difference.

To determine if the average vitamin D levels for sections 1 and 2 are significantly different, a t-test can be performed. The null hypothesis would be that there is no significant difference in the average vitamin D levels between the two groups, while the alternative hypothesis would be that there is a significant difference.

The t-test would provide a p-value, which can be used to determine the significance of the difference between the two groups. If the p-value is less than the chosen level of significance (usually 0.05), then it can be concluded that there is a significant difference in the average vitamin D levels between the two groups.

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Answer: A = 4400(1 + 0.0825 x 22)

Step-by-step explanation:

A = accumulated amount

P = original amount  unloaded- $4400

r = rate - 8.25% = 0.0825

t = years = 22

= 4400(1 + 0.0825 x 22)

Answer:

y = 25169.04

Step-by-step explanation: