Write a function to represent inches as function of feet: f(x) =12x The height of the suspect will be f(6) - 8 in inches. Suspect Height:​

The amount of vanilla extract that will be needed to be able to make 2 dozen cookies is 2 teaspoons of vanilla extract

The recipe given will be able to yield 1 . 5 dozen of Oatmeal Raisin Cookies  which means that the 1 . 5 teaspoons of vanilla extract will be needed for 1. 5 dozens of Oatmeal Raisin Cookies.

If you are to make 2 dozen cookies therefore, it means that the recipe would require a higher amount of vanilla extract which can be found by the formula:

= ( Dozen cookies needed x teaspoons in  1 .5 dozen ) / 1 . 5 dozen

= ( 2 x 1 . 5 ) / 1 . 5

= 2 teaspoons of vanilla extract

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Answer:

t=shirt cost 6 dollars and the hat costs 2 dollars

Step-by-step explanation:

4*6 = 24

24+2=26

The correct answer is e(x) = np. The expected value for a binomial probability distribution is given by the formula e(x) = np, where n represents the number of trials and p represents the probability of success in each trial.

The expected value is a measure of the average or mean outcome of a binomial experiment. It represents the number of successful outcomes one would expect on average over a large number of trials.

The formula e(x) = np arises from the fact that the expected value of a binomial distribution is the product of the number of trials (n) and the probability of success (p) in each trial. This is because in a binomial experiment, the probability of success remains constant for each trial.

Therefore, to calculate the expected value of a binomial probability distribution, we multiply the number of trials by the probability of success in each trial, resulting in e(x) = np.

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Answer:

1/8

Step-by-step explanation:

\(f(x)=2^x\\\\f(-3)=2^{-3}\\\\f(-3)=\frac{1}{2^3}\\\\\boxed{f(-3)=\frac{1}{8}}\)

Hope this helps!

Answer:

f(-3)= -8

Step-by-step explanation:

If f(x)= 2^x and x has been substituted for -3 then it means it's now 2^-3 which is going to give you

= -2 × -2 × -2

= 4 × -2

= -8

Answer:

80

Step-by-step explanation:

I = Prt

I = 40  R = .10  T = 5

40 = P (.10)(5)

40 = P(.5)

Divide each side by .5

40/.5 = .5P/.5

80 = P

The interest over 5 years is $80.

The correct option is B.

Simple interest is the borrowing amount added only to the principal amount.

The Formula to calculate the simple interest is;

                                                 S.I. = P x T x R / 100,

Where S.I. is simple interest, P is the principal amount, T is the time period and R is the interest rate in a year.

We can use the formula I = Prt to solve for P. We know that I = 40, r = 0.10, and t = 5. Substituting these values, we get:

40 = P(0.10)(5)

Simplifying:

40 = 0.5P

Dividing both sides by 0.5:

P = 80

Therefore, the amount of money, P, that will generate $40 in interest at a 10% interest rate over 5 years is $80.

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The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

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Answer:

Can you please tell me what you need done?

Step-by-step explanation:

I would love to help you but it seems you haven't put any information.

The value sum of digits of positive integer of S(n+1) could be D. 1239.

S(n) is given as 1274, which is the sum of digits of a positive integer n.

To find S(n+1), we add 1 to the positive integer n.

Since 9 is the maximum digit, adding 1 to a 9 would result in a 0 in that place and a carry-over to the next digit.

In the worst case, the addition would propagate carry-overs until the first non-9 digit is found, which would then be increased by 1. In the best case, there would be no 9s and only the last digit would be incremented by 1.

Given that S(n) = 1274, the minimum change in the sum of digits would be -8 (if the last digit is 9 and the carry-over propagates). The maximum change would be +1 (if the last digit is not 9).

S(n+1) can range from 1274 - 8 = 1266 to 1274 + 1 = 1275.

The only option that falls within this range is D. 1239.

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Answer:

no thanks

Step-by-step explanation:

i don't wanna help u nerd

Answer:

potato

yes potato

\(\huge \mathbb{ \underline{EXPLANATION:}}\)

▪ \( \bold{\: x + y + z = 20}\)

\(\\\)

◆ As we have a \(\small\bold{sum \: of \: three \: integers}\) equal to 20 and less than 10, we know the integers have to be between 2 and 9 (1 and 0 don't apply because the sum wouldn't be equal to 20 between three integers.

\(\large\tt{Note:}\)

The first value would be X value, second Y value and third Z value.

\(\huge \mathbb{ \underline{ANSWER:}}\)

\( \large\boxed{ \sf 36 \: solution}\)

Answer:

K = 10

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hyp

sin K = 11 / 61

Taking the inverse sin of each side

sin ^-1 ( sin K) = sin ^-1 (11/61)

K =10.38885782

K = 10

Answer:

Option C(0.07) is the correct answer.

Answer:

4th option

Step-by-step explanation:

Answer:

$1,350

Step-by-step explanation:

Simple interest formula

I = Prt

where:

Given:

⇒ Total interest earned = 1000 × 0.1 × 5 = $500

If you have to pay 30% income tax on the interest earned annually, then you will keep 70% of your earned interest.

⇒ 70% of $500 = 0.7 × $500 = $350

Account balance = principal + interest earned after tax

                             = $1,000 + $350

                             = $1,350

The missing number in the table is 1296

The y-values of the table form a geometric sequence as shown:

6, 36, 216,......

The nth term of a geometric progression is expressed using the formula;

\(T_n=ar^{n-1}\)

Substitute the given parameters into the formula:

\(T_5=6(6)^{4-1}\\T_5=6(6)^3\\T_5=1296\)

Hence the missing number in the table is 1296

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Answer:

1296

Step-by-step explanation:

The work done in each of the cases is:

B) W =  8,400 N*m

C) W = 17,500 N*m

The work can be defined by the product between the force and the distance translated.

W = Force*Distance

So, if there is a force of 120N and the vehicle moves 70 meters, the work done is:

W = 120N*70m = 8,400 N*m

C) Similar case to the above one, here the force is F = 3.5 KN = 3,500N

And the distance is d = 15m

Then in this case the work done is:

W = 3,500N*15m = 17,500 N*m

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Answer:

Below

Step-by-step explanation:

● x-20 = y+20 (1)

● 2(y-22) = x+22 (2)

This is a system of simulataneous equations

Let's simplify the expressions first

● x -20 = y + 20 (1)

Add 20 to both sides

● x -20 + 20 = y+20 +20

● x = y + 40 (1)

● 2(y-22) = x+22 (2)

● 2y - 44 = x +22

Substrat 22 from both sides

● 2y-44-22 = x+22-22

● 2y -66 = x (2)

This is the new system:

● x = y+40 (1)

● x = 2y-66 (2)

Substract (2) from (1)

● x-x = y+40-(2y-66)

● y+40-2y+66 = 0

● -y +106 = 0

● y = 106

Replace y with 106 in (1)

● x = y +40

● x = 106+40

● x = 146

So the solutions are (146,106)

The correct option is b) Label.

In a chart, each data point, bar, slice, and so on has a unique label. This label is used to identify and differentiate the different elements within the chart. It provides a clear and concise description of what each element represents.

For example, in a bar chart that shows the sales of different products, each bar would have a label indicating the specific product it represents. This allows the viewer to easily understand which product corresponds to each bar.

The label is crucial in making the chart understandable and meaningful. Without it, the chart would be confusing and difficult to interpret. It helps to provide context and clarity to the data being presented.

While color, size, and position can also be used to distinguish between elements in a chart, they do not provide the same level of specificity as a label. Color, for instance, may be used to represent different categories, but it does not provide specific information about each individual element.

In summary, the unique label assigned to each data point, bar, slice, or other element in a chart is what helps identify and differentiate them. It provides a clear description of what each element represents, making the chart more understandable and meaningful.

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Answer:

5 inches

Step-by-step explanation:

Well two bags hold 250 cubic inches, which means one bag will hold 125 cubic inches.

Then you cube route 125 because its cubic inches.

\(\sqrt[3]{125}\) = 5

So I would think its five inches but I may be wrong <3

Hey there :)

Please check the attached image for answer with explanation.

\(Benjemin360 :)\)

Integrate by parts to find some useful recurrences relating Iₙ and Jₙ.

\(\displaystyle I_n = \int_{-\pi}^\pi x^n \cos(x) \, dx = uv \bigg|_{x=-\pi}^{x=\pi} - \int_{-\pi}^\pi v\, du \\\\ \implies I_n = -n \int_{-\pi}^\pi x^{n-1} \sin(x) \, dx \\\\ \implies I_n = -n J_{n-1}\)

where u = xⁿ and dv = cos(x) dx.

\(\displaystyle J_n = \int_{-\pi}^\pi x^n \sin(x) \, dx = uv \bigg|_{x=-\pi}^{x=\pi} + \int_{-\pi}^\pi v\, du \\\\ \implies J_n = \pi^n - (-\pi)^n + n \int_{-\pi}^\pi x^{n-1} \cos(x) \, dx \\\\ \implies J_n = \pi^n - (-\pi)^n + n I_{n-1}\)

The integrals for n = 0 are trivial:

\(\displaystyle I_0 = \int_{-\pi}^\pi \cos(x) \, dx = \sin(\pi) - \sin(-\pi) = 0\)

\(\displaystyle J_0 = \int_{-\pi}^\pi \sin(x) \, dx = -\cos(\pi) - (-\cos(-\pi)) = 0\)

Now, the integral we're interested in is

\(\displaystyle \int_{-\pi}^\pi x^n f(x) \cos(x) \, dx\)

but we know f(x) is quadratic, and we want to find its coefficients a, b, and c such that

\(\displaystyle \int_{-\pi}^\pi x^n (ax^2+bx+c) \cos(x) \, dx\)

But this is simply

\(\displaystyle \int_{-\pi}^\pi (ax^{n+2}+bx^{n+1}+cx^n) \cos(x) \, dx = aI_{n+2} + bI_{n+1} + cI_n\)

Using the recurrences above and the initial values we've computed, we find

• I₁ = -J₀ = 0

• J₁ = π - (-π) + I₀ = 2π

• I₂ = -2 J₁ = -4π

• J₂ = π² - (-π)² + 2 I₁ = 0

• I₃ = -3 J₂ = 0

• J₃ = π³ - (-π)³ + 3 I₂ = 2π³ - 12π

• I₄ = -4 J₃ = -8π³ + 48π

When n = 0, the integral we care about is

\(aI_2 + bI_1 + cI_0 = -4\pi a + 0 + 0 = 4\pi \implies a = -1\)

When n = 1,

\(aI_3 + bI_2 + cI_1 = 0 - 4\pi b + 0 = 4\pi \implies b = -1\)

When n = 2,

\(aI_4 + bI_3 + cI_2 = (48\pi - 8\pi^3)a + 0 - 4\pi c = 4\pi \implies c = 2\pi^2 - 13\)

so that

\(f(x) = \boxed{-x^2 - x + 2\pi^2 - 13}\)

The number formed by the digits 16, 06, and 68 is 160668, which is determined by concatenating them in the given order.

To determine the number formed by the given digits, we concatenate them in the given order. Starting with the first digit, we have 16. The next digit is 06, and finally, we have 68. By combining these three digits in order, we get the number 160668.

When concatenating the digits, the position of each digit is crucial. The placement of the digits determines the resulting number. In this case, the digits are arranged as 16, 06, and 68, and when they are concatenated, we obtain the number 160668. It's important to note that the leading zero in the digit 06 does not affect the value of the resulting number. When combining the digits, the leading zero is preserved as part of the number.

Therefore, the number formed by the digits 16, 06, and 68 is 160668.

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Substituting these values into the perimeter equation:  Perimeter = sqrt(y^2) + sqrt((x-0)^2 + (y-z)^2) + sqrt(x^2 + z^2) + sqrt((x-0)^2 + (y+z)^2)

To find the perimeter of a rectangle, we need to add up the lengths of all four sides.

Since three vertices of the rectangle are shown, we can assume that the fourth vertex is opposite to one of the shown vertices.

Let's label the shown vertices as A, B, and C. We can assume that A and B are adjacent vertices and that C is diagonal to both A and B.

We can use the distance formula to find the length of AB and AC.

Assuming that A is (0,0), B is (0, y), and C is (x, z), we can calculate the lengths as follows:
Length of AB = sqrt((y-0)^2 + (0-0)^2) = sqrt(y^2)
Length of AC = sqrt((x-0)^2 + (z-0)^2) = sqrt(x^2 + z^2)

Since opposite sides of a rectangle are congruent, we know that AB = CD and AC = BD.

Therefore, the perimeter of the rectangle is:
Perimeter = AB + BC + CD + DA = sqrt(y^2) + BC + sqrt(x^2 + z^2) + DA

We don't have enough information to find BC and DA, but we do know that BC is parallel to AD and that AD is parallel to AB.

We can use the Pythagorean theorem to find BC and DA. Since AB and CD are parallel, we know that BC and AD are also parallel.

Therefore:

BC = sqrt((x-0)^2 + (y-z)^2)
DA = sqrt((x-0)^2 + (y+z)^2)

Substituting these values into the perimeter equation:  Perimeter = sqrt(y^2) + sqrt((x-0)^2 + (y-z)^2) + sqrt(x^2 + z^2) + sqrt((x-0)^2 + (y+z)^2)

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The interpretation of the given compound interest expression is:

2400 is the amount of initial deposit

1.03 is the amount

12t is the number of times the account has compounded since it opened

The formula for compound interest is:

A = P(1 + (r/t))^(nt)

Where:

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

We are given the equation as:

S = 2400(1.03)^(12t)

Thus:

2400 is the amount of initial deposit

1.03 is the amount

12t is the number of times the account has compounded since it opened

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Answer:

D) she can divide 7 by 2

Step-by-step explanation:

As, Division is not same as multiplication, so not the a option

And b doesn't have the right values

C is also wrong bc it have multiplication

So D is right

Answer: 106.28 PSI

Step-by-step explanation:

Or 7.33 BAR

Each meter is approximately 0.1 BAR (very, very roughly)

Answer:

b. reflection, shrink, right 3 and up 4

Step-by-step explanation:

- : reflection across x axis

1/2 : compression vertically by a factor of 1/2

x - 3: shift right 3 units

+ 4: up 4 units

The chosen differential equation is: dv/dt = A / (v + B) - (v - 20) / B

The differential equation that models the velocity of the Prius in this scenario can be chosen as:

dv/dt = A / (v + B) - (v - 20) / B

Explanation:

- The term A / (v + B) represents the acceleration provided by the Prius, which is inversely proportional to its velocity.

- The term (v - 20) / B represents the acceleration due to air resistance, which is proportional to the difference between the tailwind (20 mph) and the velocity of the Prius.

Therefore, the chosen differential equation is: dv/dt = A / (v + B) - (v - 20) / B

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