Write an absolute value function that is reflected over the x axis, moved left 2 units and up 5 units
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To estimate the number of subscribers as a single digit times an integer power of 10, we can round the given number to the nearest power of 10.

The given number of subscribers is 77,000.

Rounding 77,000 to the nearest power of 10 (which is 10^4 or 10,000), we get:

77,000 ≈ 8 × 10,000

So, an estimate for the number of subscribers as a single digit times an integer power of 10 would be 80,000.

Answer:

can you send a more clear photo its quite blurry

The fraction will be B) 3/7 while the bags of sand required will be D) 28 bags.

Here we can that in the very first entry 6 gallons of water are required for 14 bags of sand.

Therefore to find the ratio for gallons of water to bags of snd we need to keep 6 in the numerator and 14 in the denominator to get

6/14

Now we will divide both the numerator and denominator by 2 t and bring it down to its lowest form to get

3/7.

Hence B) 3/7 will be the fraction

Now since we can see that the ratio of gallons of water to bags of sand is  3/7, this implies that every bag of sand requires 3/7 gallons of water.

Hence for 12 gallons of water, we need to mix

12/(3/7) bags of sand

= 12 X 7/3

= D) 28 bags of sand

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Complete Question

The ratio table shows the amounts of sand and water in a concrete mixture. Which fraction represents the ratio of the gallons of water to bags of sand?

A)3/6

B)3/7

C)5/3

D)7/3

Part 2

How many bags of sand should be mixed with 12 gallons of water?

A)22 bags

B)24 bags

C)28 bags

D)30 bags

Independent variables are the factors that are manipulated or controlled by the researcher in a study. In the context of investigating the impact of a school nutrition program on grade performance of high school students, the independent variable would be the school nutrition program itself.

The researcher would design and implement the program, and this variable would be under their control.

Dependent variables, on the other hand, are the outcomes or variables that are measured in a study and are expected to change as a result of the independent variable. In this case, the dependent variable would be the grade performance of the students. The researcher would collect data on the grades of the students before and after the implementation of the nutrition program, and this would be the variable that is expected to be influenced by the independent variable.

In summary, the independent variable in this research design is the school nutrition program, while the dependent variable is the grade performance of the students. The researcher would manipulate the independent variable (implement the nutrition program) and then measure the dependent variable (student grades) to determine if there is an impact of the program on grade performance.

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π/16 is the area enclosed by the curve r= sin(4θ)

The given curve is polar curve and hence the area of the polar curve is given by:

Let A be the area of the curve so,

A = \(\int\limits^b_a {\frac{1}{2}r^2 } \, d\theta\)

where a and b is the boundary at which r=0

so after equation r=0

sin(4θ) =0

=> sin(4θ) =0

=> 4θ = 0,π

=> θ = 0, π/4

so a=0 , b= π/4

now  

  A =  \(\int\limits^b_a {\frac{1}{2}r^2 } \, d\theta\)   ------(i)

so   \(r^2\) = (sin(4θ))^2

=>   \(sin^2\)( 4θ )

ans we know that

cos(2α) = 1 -  \(2sin^2\)2 α

so     \(sin^2\)= (1- cos(8θ) )/2

putting the value of r in the equation (i) we get :-

A = \(\int\limits^b_a {\frac{1}{4} *(1-cos8\theta) } \, d\theta\)

=> 1/4*  \(\int\limits^b_a {(1-cos8\theta) } \, d\theta\)

here a=0 and b=π/4

after putting the value and solving the integral

A = π/16

so A is the area enclosed by r=sin(4θ) is π/16

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The table representing the relationship between hours of lawn care and the amount of money the company charges is:

8 $220

10 $275

12 $330

14 $385.

Equations are mathematical expressions with two algebraic expressions flanking the equals (=) symbol on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS (left hand side equals right hand side) is the most widely accepted theorem.

Let x be the charge of lawn care for 1 hour.

Given, charge for 4 hours of lawn care =$110

So, x= Amount charged/ Hours of lawn care

x=110/4

x=27.5

Now, the company charges $27.5 for 1 hour of lawn care.

So now we can find the amount charged by the company for

"y" no. of hours by using the equation. x × y = z

Here x, y and z are variables, where x is the charge of lawn care for 1 hour. y is the number of hours of lawn care and z is the total amount

charged by the company.

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Answer:

8 balloons

Step-by-step explanation:

We want to find how many she kept for herself.

She brought 24 balloons to the picnic.

She gave 1/3 to Karen.

She will be left with 2/3 of the balloons:

2/3 * 24 = 16

She will be left with 16 balloons.

She gave 1/2 of what was left to Tim. She will be left with 1/2 of the balloons:

1/2 * 16 = 8

She will be left with 8 balloons.

A 90% confidence interval for the proportion of adults who are worried about having enough money for retirement is (0.5031, 0.5396).

To construct a 90% confidence interval for the proportion of adults who are worried about having enough money for retirement, follow these steps:

1. Determine the sample proportion (p- hat):
p- hat = number of adults worried / total number surveyed
p- hat = 569 / 1094
p- hat ≈ 0.5199

2. Determine the confidence level (90%) and find the corresponding z-score using a z-table or calculator. For a 90% confidence interval, the z-score is approximately 1.645.

3. Calculate the standard error (SE):
SE = sqrt((p- hat * (1 - p- hat)) / n)
SE = sqrt((0.5199 * (1 - 0.5199)) / 1094)
SE ≈ 0.0156

4. Construct the confidence interval using the sample proportion, z-score, and standard error:
Lower limit: p- hat - (z-score * SE)
Lower limit: 0.5199 - (1.645 * 0.0156)
Lower limit ≈ 0.4938

Upper limit: p- hat + (z-score * SE)
Upper limit: 0.5199 + (1.645 * 0.0156)
Upper limit ≈ 0.5460

A 90% confidence interval for the proportion of adults who are worried about having enough money for retirement is (0.4938, 0.5460).

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According to this linear model, we can expect the average mid-career salary of graduates from a college or university where the annual tuition is $30,000 to be $14,100.

The slope of the linear model relates the change in the average mid-career salary of graduates to a unit increase in the annual tuition cost at a college or university. In this case, the slope is equal to -0.94, which means that for every $1,000 increase in tuition, we expect the average mid-career salary of graduates to decrease by $940. This negative slope indicates an inverse relationship between tuition and mid-career salary.

Using the given linear model, we can find the average mid-career salary of graduates from a college or university where the annual tuition is $30,000. By substituting x = 30,000 into the equation f(x) = -0.94x + 168,000, we get:

f(30,000) = -0.94(30,000) + 168,000

= 14,100

Therefore, according to this linear model, we can expect the average mid-career salary of graduates from a college or university where the annual tuition is $30,000 to be $14,100. However, it should be noted that this is just a predicted value based on the linear model and may not necessarily represent the exact value observed in the real world. Other factors beyond tuition cost, such as location, program quality, and networking opportunities, can also influence mid-career salaries.

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The volume of a sphere with a radius of 7 cm (or diameter of 12 cm) is 904.32 cubic centimeters.

To find the volume of a sphere with a radius of 7 cm, we can use the formula:

V = (4/3) * π * r^3

where V represents the volume and r represents the radius. However, you mentioned that the diameter of the sphere is 12 cm, so we need to adjust the radius accordingly.

The diameter of a sphere is twice the radius, so the radius of this sphere is 12 cm / 2 = 6 cm. Now we can calculate the volume using the formula:

V = (4/3) * π * (6 cm)^3

V = (4/3) * 3.14 * (6 cm)^3

V = (4/3) * 3.14 * 216 cm^3

V = 904.32 cm^3

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Answer: k = √27-i

Step-by-step explanation:

Answer:

Slope = 2

Y intercept = 4

Step-by-step explanation:

This is of the form y = mx + k

where m is the slope

K = y intercept

Hello! (:

y=2x+4

This equation is written in slope-intercept form:

y=mx+b

m is the slope (2) and b is the y-intercept (4)

Hope it helps!

If you have any question or query, feel free to ask! (:

~An excited gal

\(SparklingFlower\)

Answer:

4

Step-by-step explanation:

Answer:

4 hours

Step-by-step explanation:

550 divided by 11 gets you 50 which means they were going 50 miles per hour then divide 50 by 200 and you get 4 hours.

Answer:

the second one I believe

Step-by-step explanation:

Basketball fan uses average or mean to estimate total NBA operating costs, assuming evenly distributed salaries and considering other factors influencing ticket prices.

The basketball fan used the measure of center known as the average or mean to infer the total NBA operating costs. The average is calculated by summing up all the salaries of NBA players and dividing it by the number of players. This gives a representative value that reflects the typical salary in the NBA.

By using this average, the fan is assuming that the salaries of NBA players are evenly distributed and can be used to estimate the total operating costs. However, it's important to note that this is just an inference and there may be other factors influencing ticket prices.

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The missing place value in this binary number is 4. the binary number 1000011 represents the decimal number 67.

Computers work with binary digits, which are known as bits, and have a value of either 0 or 1. Binary numbers are used to represent all kinds of data in a computer.

In this question, we have a binary number 1000011, which has 7 bits. Each bit represents a specific power of 2 based on its position, starting from the rightmost bit, which has a value of 1, and doubling as we move leftwards. So, the rightmost bit represents 2^0 or 1, the next bit represents 2^1 or 2, the next bit represents 2^2 or 4, and so on.

Therefore, the place values of each bit in this binary number are:

1 x 2^6 + 0 x 2^5 + 0 x 2^4 + 0 x 2^3 + 0 x 2^2 + 1 x 2^1 + 1 x 2^0

Simplifying this expression, we get:

64 + 2 + 1 = 67

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Answer:

  1)  6

  3)  -6

Step-by-step explanation:

You want to solve the equation x² = 36 by the square root method.

This method finds the solution by taking the square root of both sides of the equation.

  \(x^2=36\\\\\sqrt{x^2}=\sqrt{36}\\\\|x|=6\qquad\text{positive square root}\\\\x=\pm6\)

The solutions are x = 6 and x = -6.

__

Additional comment

We often "cut to the chase" and write the result of taking the square root as x = ±√36 = ±6. It is worth noting that the square root symbol indicates the positive square root. That's what the absolute value bars also indicate: the positive value of the number.

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Answer:

10

Step-by-step explanation:

18 + 12 = 30 so it 40 student so it is 10 .

Answer:

12/12 + 18 = 100

Step-by-step explanation:

Use calculator

The required perimeter of the square with given measure of the one side length x inches is equals to 4x inches.

The perimeter of a square is the sum of the lengths of all its sides.

If one side of the square is x inches,

Then all sides are also x inches.

This implies, the perimeter of the square is equals to,

Substitute the side length of the square x inches we have,

Perimeter of the square = x + x + x + x

⇒Perimeter of the square = 4x inches

Therefore , the perimeter of the square with one side of x inches is equals to 4x inches.

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Answer:

Step-by-step explanation:

If you mean 3x^3 - 42x^2 - 4x + 5 = 0 you can graph it manually or with technology

The roots are 14.09, 0.30 and -0.39 to nearest hundredth.

Answer:

Step-by-step explanation:

\(hope \: it \: helps\)

The probability that a green marble is randomly drawn will be 2% if 50 blue marbles are removed. The probability of randomly picking a green marble will be greater if there are fewer marbles.

The probability of an event can be expressed as

P(A) = n(A) / n(S)

Where

We must find the value of n(S) (the total number of marbles) so that we know how many marbles that must be removed.

Hence, the probability of randomly drawn green marble will be 2% if there are 50 marbles. So, 50 blue marbles should be removed.

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Answer:

The answer is X=11 and X=-11

Step-by-step explanation:

\( {x}^{2} = 121 \\ \sqrt{121} = 11 \\ therefore \: value \: of \: x \: is \: 11\)

Answer:

how many blanks are their

Step-by-step explanation:

Answer: Even though an image was not provided, I would continue with 96, 100, 104, 108, 112, 116, and so on.

Step-by-step explanation:

92 + 4 = 96 + 4 = 100 + 4, and so on.

There's not really anything else to this.

The firm 4's efficient scale occurs at 4

In this question, we have been given a table of long-run total cost and the quantity.

We need to find the quantity at which the firm 4's efficient scale occurs.

We know that the efficient scale occurs at the quantity of output where average total cost is minimum.

For the firm 4 the average total cost would be,

(210 + 340 + 490 + 660 + 850 + 1060 + 1290) / 7

= 4900 / 7

= 700

This value is clsoe to 660.

Therefore, the firm 4's efficient scale occurs at quantity 4.

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Given question is incomplete.

Answer: The solution of the given system of differential equations is given by

 \(x(t)=4C1e^(-2 - √5t/2) + 4C2e^(-2 + √5t/2) y(t)\\ = (-2 - √5x)C1e^(-2 - √5t/2) + (-2 + √5x)C2e^(-2 + √5t/2).\)

Step-by-step explanation:

Given differential equation

dc/dt = x + 4y... (1)

dy/dt = -20 - 9... (2)

We need to find the solution of the given system of differential equations.

(i) The given system of differential equations can be written in matrix form as:

dc/dt dy/dt = 1 4 x -9

The given matrix is

A= [1, 4; x, -9]

(ii) Using eigenvalues and eigenvectors, the vector solution of the given system of differential equations is given as:

The determinant of the matrix A is:

det(A) = 1 × (-9) - 4x

= -9 - 4x

The characteristic equation of the matrix A is:

|A - λI| = 0

⇒ \(\[\begin{vmatrix}1-\lambda&4\\x&-9-\lambda\end{vmatrix}\] = 0\)

⇒ (1 - λ)(-9 - λ) - 4x = 0

⇒ λ² + 8λ + (4x - 9) = 0

Using quadratic formula, we get:

λ1 = -4 - √(16 - 4(4x - 9))/2

= -4 - √(16 - 16x + 36)/2

= -4 - √(20 - 16x)/2

= -2 - √5 + √5x/2

λ2 = -4 + √(16 - 4(4x - 9))/2

= -4 + √(16 - 16x + 36)/2

= -4 + √(20 - 16x)/2

= -2 + √5 - √5x/2

The corresponding eigenvectors are: Eigenvector for λ1:

[4, -2 - √5x]T

Eigenvector for λ2: [4, -2 + √5x]T

Hence, the general solution of the given system of differential equations is given by:

c(t) = \(C1[4, -2 - √5x]T e^(-2 - √5t/2) + C2[4, -2 + √5x]T e^(-2 + √5t/2)\)where C1 and C2 are constants.

(iii) Using the above vector solution, the solutions of the given system of differential equations are:

x(t) = 4C1e^(-2 - √5t/2) + 4C2e^(-2 + √5t/2)

y(t) = (-2 - √5x)C1e^(-2 - √5t/2) + (-2 + √5x)C2e^(-2 + √5t/2)

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Answer:

14+(x*y)

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

7 = x

5 = y

5 = X + - 2

5 = X - 2

If X is 7 then

5 = 7-2

5=5

yes