Of the $175 that Sheila has, she gives $7 to charity. What percent does she give to charity?

Answer:

x = -10, 10

Step-by-step explanation:

Step 1: Write out function

f(x) = 8x² - 800

Step 2: Set equal to 0

0 = 8x² - 800

Step 3: Add 800 on both sides

800 = 8x²

Step 4: Divide both sides by 8

x² = 100

Step 5: Take square root on both sides

x = ±10

Step 6: Arrange

-10 < 10

So x = -10, 10

Answer:

-108 feet

Step-by-step explanation:

D(x) will tell us the depth of the sub at time x minutes.  x = 4 minutes.

D(x) = 2x^2 - 10x - 100

D(4) = 2(4)^2 - 10*(4) - 100 for x=4 minutes

D(4) = 2*16 - 40 - 100

D(4) = 32 -40 - 100

-108 feet

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)

a multiple regression model, the error term `e’ is assumed to be a random variable with a mean of is A) zero. This means that in a multiple regression model, the errors are assumed to have a mean of zero. This assumption is necessary to ensure that the model is unbiased and accurate in predicting the outcome variable.

this assumption is that the error term represents the unexplained variation in the outcome variable that is not accounted for by the predictor variables. If the error term had a mean value other than zero, this would indicate that there is a systematic bias or error in the model, which would affect the accuracy of the predictions.

the assumption of a zero mean error term is a critical aspect of multiple regression modeling and helps to ensure that the model is reliable and valid for predicting the outcome variable.

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Answer:

See the screenshot! :)

Step-by-step explanation:

we have a exponential function of the form

y=a(\(b^x\))

where

y ---> is the population of bacteria

x ---> the number of hours

a is the initial value or y-intercept

b is the base of the exponential function

r is the rate of change

b=(1+r)

we have

a=700 bacteria

r=5%=5/100=0.05

so

b=1+0.05=1.05

substitute

y=700(\(1.05^x\))

For x=20 hours

substitute in the equation and solve for y

y=700(1.05)^20= 1,857 bacteria

Hope this helped! :)

The mode of the given data values is N/A (not applicable).Hence, the mean, median, and mode of the given data values are:Mean = 54.36Median = 55.5Mode = N/A (not applicable)

Given data values are 55, 56, 70, 61, 53, 57, 50, 73, 52, 69, and 2. We need to calculate the mean, median, and mode of this sample.So, let's first arrange the data values in ascending order:2, 50, 52, 53, 55, 56, 57, 61, 69, 70, 73

Mean:The mean is the sum of all the data values divided by the total number of data values. So, we can use the following formula to calculate the mean:

Mean = (sum of all the data values) / (total number of data values)Sum of all the data values = 55 + 56 + 70 + 61 + 53 + 57 + 50 + 73 + 52 + 69 + 2 = 598Total number of data values = 11

Therefore,Mean = (sum of all the data values) / (total number of data values) = 598 / 11 = 54.36 (rounded to two decimal places)Therefore, the mean of the given data values is 54.36.

Median:The median is the middle value of a sorted data set. Since the data set has 11 data values, the median is the average of the 6th and 7th values (counting from smallest to largest).

Therefore, the median is :Median = (55 + 56) / 2 = 55.5Therefore, the median of the given data values is 55.5.

Mode:The mode is the data value that appears most frequently in the data set. In this case, there is no data value that appears more than once. So, there is no mode.

Therefore, the mode of the given data values is N/A (not applicable).Hence, the mean, median, and mode of the given data values are:Mean = 54.36Median = 55.5Mode = N/A (not applicable)

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Answer:

Franklin will be able to fill 4 mugs.

Step-by-step explanation:

We Know

Franklin made 2 2/5 quarts of hot chocolate.

2 2/5 = 12/5 = 2.4

Each mug holds 3/5 of a quart.

3/5 = 0.6

How many mugs will Franklin be able to fill?

We Take

2.4 ÷ 0.6 = 4 mugs

So, Franklin will be able to fill 4 mugs.

The scale factor was used for each dilation are-

A transformation that changes the size of a figure is called a dilatation. This indicates that the preimage as well as image are similar and have been scaled up or down, respectively.

A dilatation that results in a reduction (imagine shrinking) or an enlargement (think stretching) produces a smaller or larger image, respectively.

Part a: For ΔABC

Length AB = 2 units

Length A'B' = 4 units

A'B' = 2 *AB

Thus,  For ΔABC - scale factor = 2

Part b: For ΔDEF -

Length DF = 2 units

Length D'F' = 1  units

D'F' = 1/2 DF

Thus, For ΔDEF - scale factor = 1/2

Part c: For ΔGHJ -

Length GH = 3 units

Length G'H' = 1  units

G'H' = 1/3 GH

Thus,  For ΔGHJ - scale factor = 1/3

Part d: For ΔKML -

Length KM = 2 units

Length K'M' = 6  units

K'M' = 3*KM

Thus, For ΔKML - scale factor = 3

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the box with the largest volume has dimensions approximately 3.48 in. x 3.48 in. x 5.76 in.

Let x be the side length of the square cut from each corner of the tin sheet. Then the dimensions of the base of the box will be (10-2x) by (10-2x), and the height of the box will be x. Thus, the volume of the box is given by:

V = (10-2x)^2 * x = 4x^3 - 40x^2 + 100x

To maximize V, we take the derivative of this expression and set it equal to zero:

dV/dx = 12x^2 - 80x + 100 = 0

Solving for x using the quadratic formula, we get:

xx = (80 ± sqrt(80^2 - 4*12*100))/24 ≈ 1.74, 5.76

The solution x = 1.74 is extraneous, since it would result in negative dimensions for the box. Thus, the optimal size of the square to be cut from each corner is x = 5.76 inches.

The dimensions of the box with the largest volume are:

Length = Width = 10 - 2x = 10 - 2(5.76) ≈ 3.48 inches

Height = x = 5.76 inches

Therefore, the box with the largest volume has dimensions approximately 3.48 in. x 3.48 in. x 5.76 in.

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Answer:

Step-by-step explanation:

The answer is 10

Answer:

Your answer is \(\sqrt{52}\) or 7.21110255093...

Step-by-step explanation:

\(A^{2} + B^{2} = C^{2}\)

\(4^{2} + 6^{2} = C^{2}\)

16 + 36 = \(C^{2}\)

\(C^{2}\) = 52

C = \(\sqrt{52}\)

Answer:

554433221100

is in form

and have to divide by 11

554433221100/11

50403020100 is the answer.

Answer: 9 numbers

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

that is because 20 of 60 is 12

60X20/100=12

Evaluating the function for x=2, F(x)= 8.

What is a linear equation?

Alternatively, a linear equation can be obtained by equating the linear polynomial over the field from which the coefficients are taken to zero.

The solution of such an equation is the value that makes the equation true when the unknowns are substituted.

If there is only one variable, there is only one solution. Often the term linear equation alludes to this special case where the variables are appropriately called unknowns.

With two variables, each solution can be interpreted as the Cartesian coordinates of a point on the Euclidean plane. The solutions of linear equations form lines in the Euclidean plane. Conversely, each line can be viewed as the set of all solutions to linear equations in two variables. This is the origin of the term linear for these types of equations. More generally, the solution of a linear equation in n variables forms a hyperplane (a subspace of dimension n − 1) in the Euclidean space of dimension n.

Therefore, Evaluating the function for x=2, F(x)= 8.

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Answer:

Gertrude, Bart, Hermione, Jojo

Step-by-step explanation:

Ok to start of lets identify the money in each bank account

I will not be using names to make this simpler.

Student A: $-100.54

Student B: $95.88

Student C: $50.00

Student D: $-120.37

Lets pretend that were not talking about money to help you understand this.

So just from glancing at this you'd think -120.37 would be the most because its the largest number correct?

Well you have to include the negative sign. The negative sign shows that this number is below 0.

Lets take a look at the other negative number.

-100.54

Greater or less than -120.37?

-100.54 is actually greater than -120.37

Why?

On a number line, the negative side, your counting back from 0. So the farther away you are from 0 for negatives, the less that number is.

So -120.37 would be the least and -100.54 would be the second least.

The greatest would be 95.88 because its greater than 50.

So the order would be 95.88, 50, -100.54, then -120.37

Just find which students that goes with and your done!

If you ever need more help don't be afraid to reach out and I hope that helps!

Answer:

121 more T-shirts

Step-by-step explanation:

Answer:

5.20x + 172.90 = 800

          -172.90    -172.90

5.20x = 627.1

/5.20     /5.20

x = 120.5961 or 120.60

5.20 x 120.60 = 672.12

172.90 + 627.1 = 800

the answer is 121

The solution to the inequality is n ≤ -3

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

5 ≥ 2n + 11

On simplifying , we get:

2n + 11 ≤ 5

Subtracting 11 on both sides , we get:

2n ≤ -6

Divide by 2 on both sides , we get:

n ≤ -6/2

So , the inequality becomes,

n ≤ -3

Therefore , the value of n is less than or equal to -3

Hence , the solution is all numbers less than or equal to -3

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Answer:

Both are non-linear. The first equation is a rational function and the second is a quadratic.

Step-by-step explanation:

Polynomials form a system like to that of integers hence they are closed under the operations of addition and subtraction.

Exponents of polynomials are whole numbers.

Hence the resultant exponents will be whole numbers , addition is closed for whole numbers. As a result, polynomials are closed under addition.

If an operation results in the production of another polynomial, the resulting polynomials will be closed.

The outcome of subtracting two polynomials is a polynomial. They are also closed under subtraction as a result.

The word polynomial is a Greek word. We can refer to a polynomial as having many terms because poly means many and nominal means terms. This article will teach us about polynomial expressions, polynomial types, polynomial degrees, and polynomial properties.

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Answer:

48a - 24

Step-by-step explanation:

6(8a - 4):

Distribute 6 into the terms inside the parenthesis:

6*8a = 48a

6 * -4 = -24

Therefore, the answer is 48a - 24.

Hey there!

The distributive property states the following:

a(b+c)=ab+ac

where

we distribute a by multiplying it times b and c

Now that we know the property, let's simplify

6(8a-4)

multiply

48a-24

And we're done!

Hope everything is clear.

Also, please let me know if you have any questions.

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The values of Q(C1), Q(C2), and Q(C3) are 4, 4, and π, respectively.

The concept of the integral is a fundamental part of calculus and it is used to calculate the area under a curve or the volume of a 3-dimensional object. In this context, we will be exploring the integral of a two-dimensional set in the R^2 plane.

For every two-dimensional set C contained in R^2 for which the integral exists, the function Q(C) is defined as the double integral of the function (x^2 + y^2) over the set C. The double integral is a mathematical tool for finding the total volume under a surface.

Let's consider the three sets C1, C2, and C3 and find Q(C1), Q(C2), and Q(C3).

C1={(x,y) : −1 ≤ x ≤ 1, −1 ≤ y ≤ 1}

Q(C1) = ∬C1 (x^2 + y^2) dxdy = ∫^1_{-1}∫^1_{-1} (x^2 + y^2) dxdy = ∫^1_{-1} [(x^2 + y^2)/2]^1_{-1} dx = 4.

C2 ={(x,y):−1≤x≤1,−1≤y≤1}

Q(C2) = Q(C1) = 4.

C3 = {(x,y):x^2 + y^2 ≤1}

Q(C3) = ∬C3 (x^2 + y^2) dxdy = π.

In conclusion, the values of Q(C1), Q(C2), and Q(C3) are 4, 4, and π, respectively.

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Answer:

0.44x + 0.85y <= 6

Step-by-step explanation:

We can write the total cost of the apples as 0.44x, and the total cost of the pears as 0.85y. Since the total cost cannot exceed $6, we can write the following inequality:

0.44x + 0.85y <= 6

This inequality represents the numbers of apples and pears you can buy at the market, given that you can spend at most $6.

Answer:

0.44x + 0.85y ≤ 6

Step-by-step explanation:

To represent the number of apples and pears you can buy, you can use the following inequality: 0.44x + 0.85y ≤ 6. This inequality states that the total cost of the apples and pears, which is 0.44x + 0.85y, must be less than or equal to $6. This means that you cannot spend more than $6 at the market, and the number of apples and pears you can buy is limited by this budget constraint.

Answer:

Slope is 0.95 and its unit is dollar per mile

Step-by-step explanation:

To write the slope and its units, what we first need to do is to write the given words in form of an equation.

Given that the cost is the dependent variable and the cost per mile the independent variable, we have;

C(x) = $0.95(x) + 37

Comparing to the general equation of a straight line;

y = mx + c

we can see that the slope is 0.95 and its unit is $/mile (dollars per mile)

In this DFA, the initial state q₀ represents the starting point. Upon reading an 'a' in q₀ or q₁, the DFA transitions to q₁, which represents reading w₁. In q₁, the DFA can continue reading more 'a's or 'b's of w₁.

To construct a DFA for the language L = {w₁abw₂ : w₁ ∈ {a,b}*, w₂ ∈ {a,b}*}, where w₁ represents any string of 'a's and 'b's and w₂ represents any string of 'a's and 'b's, we can follow these steps:

1. Identify the states of the DFA. Each state will represent the current position in the input string.

2. Determine the initial state(s). In this case, we need an initial state that allows us to read w₁.

3. Define the accepting states. The accepting state(s) should represent the condition when we have successfully read w₁ and w₂ and reached the end of the input.

4. Define the transitions between states. The transitions will be based on the current input symbol and the current state.

Based on the description above, let's construct the DFA:

```

States: Q = {q₀, q₁, q₂, q₃, q₄}

Input Alphabet: Σ = {a, b}

Initial State: q₀

Accepting State: q₄

Transitions:

q₀, a -> q₁

q₀, b -> q₃

q₁, a -> q₁

q₁, b -> q₁

q₁, b -> q₂

q₂, a -> q₄

q₂, b -> q₄

q₃, a -> q₃

q₃, b -> q₃

```

If it encounters a 'b', it transitions to q₂, which represents reading 'ab'. From q₂, the DFA transitions to the accepting state q₄ upon reading an 'a' or 'b', indicating the end of w₂.

The remaining states q₃ and q₄ handle cases where the input does not conform to the language L. q₃ represents reading additional characters after w₁, while q₄ represents the accepting state when the entire input has been consumed.

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Answer: x = 6

Step-by-step explanation:

9(8 - x) = 3x

72 -9x = 3x

add 9x to both sides

72 = 12x

divide 72 by 12

x = 6

Answer:

added in picture

Step-by-step explanation:

added in picture

Answer:

a

Step-by-step explanation: