Christopher has a points card for a movie theatre
He receives 30 rewards points just for signing up
He earns 5.5 points for each visit to the movie theatre
He needs 63 points for a free movie ticket
Write and solve an equation which can be used to determine x, the number of visits Christopher must make to earn a free movie ticket

Answer:

C. 60 Degrees

Answer:

5/4 should be your answer or in decimal form 1.25

Step-by-step explanation:

Slope is rise over run

Y2-Y1 divided by X2-X1

5/4

Answer:

2. (x + 3, y - 7)

Step-by-step explanation:

Answer:

a) The equation for the situation = 14.50 = 4.5 + 1.25n

b) The number of oranges she bought = 8 oranges

Step-by-step explanation:

Where n represents the number of oranges.

The equation is written as

Total charge = $0.75 × 6 + $1.25 × n

$14.50 = $0.75 × 6 + $1.25 × n

14.50 = 4.5 + 1.25n

1.25n = 14.5 - 4.5

1.25n = 10

n = 10 / 1.25

n = 8 oranges

The amount in the account after 11 years will be approximately $13,803.29.

To calculate the future value of an account with compound interest, we can use the formula:

FV = PV × (1 + r)ⁿ

Where:

FV = Future Value

PV = Present Value (initial deposit)

r = Interest rate per compounding period

n = Number of compounding periods

In this case, the initial deposit (PV) is $7,900, the annual interest rate (r) is 5.5% (or 0.055 as a decimal), and the time period (n) is 11 years.

Plugging in these values into the formula, we get:

FV = 7900 × (1 + 0.055)¹¹

Calculating this expression:

FV = 7900 × (1.055)¹¹

FV ≈ 7900 × 1.747422051

FV ≈ 13803.29

Therefore, to the nearest cent, the amount in the account after 11 years will be approximately $13,803.29.

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The correct answer choice for the MPC (marginal propensity to consume) when the multiplier is 6 is not provided among the options A. 0.16, B. 0.83, C. 0.71, or D. 0.86.

The MPC is calculated as the ratio of the change in consumption to the change in income. When the multiplier is given, we can derive the MPC using the formula MPC = 1 / (1 + MPC). In this case, the multiplier is stated to be 6.

To find the corresponding MPC, we can solve the equation 1 / (1 + MPC) = 6 for MPC.

Rearranging the equation, we have 1 + MPC = 1 / 6. Subtracting 1 from both sides, we get MPC = 1 / 6 - 1 = -5 / 6.

The result MPC = -5 / 6 implies a negative MPC, which does not align with any of the given answer choices.

Additionally, all the answer choices provided (0.16, 0.83, 0.71, and 0.86) are positive values, further confirming that none of them represents the correct MPC when the multiplier is 6.

Therefore, the correct answer choice for the MPC when the multiplier is 6 is not listed among the options A. 0.16, B. 0.83, C. 0.71, or D. 0.86.

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The point where the PPF intersects the vertical axis is unattainable and efficient.

Using fixed resources, a distinct combination of two items can be created, as shown by the production possibility curve or frontier. The bundles of goods that are productively efficient and attainable are displayed at each point on the production potential curve.

The bundles that are feasible but productively efficient are represented by the points below the curve. The bundles that are unachievable because they demand additional resources are represented by the points above the production possibility curve. The PPF's intersection with the vertical axis is a productive, efficient, and reachable position.

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True. the interpretation of the slope is different in a multiple linear regression model as compared to a simple linear regression model.

The slope and intercept of a line reveal the steepness of the line and the location in which it intersects an axis. The slope and intercept of the logistic relationship of the two variables can be utilized to get the average change rate. The ratio of a change in the variable y to the rise in the x component is known as the the line's slope.

Y = a + bX, where X seems to be the mediating variable and Y is the response variable, is the equation of a linear regression line. A is the intersection (the result of y for x = 0), and b is the line's slope.

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The root of f(x) will be (A) -√7.

To find the root of f(x):

Conjugate pair: A root has two forms one positive and one negative.

Example: a + √b, a - √b

Therefore, the root of f(x) will be (A) -√7.

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The correct question is given below:

If a polynomial function f(x) has roots 3 and a square root of 7 what must also be a root of f(x)?

A. negative square root of 7

B. i square root of seven

C. –3

D. 3i

The difference between rational algebraic expressions and fractions is discussed above.

In mathematics, an expression or mathematical expression is a combination of terms, both variables and constants.

For example → 2x + 3y + z

Given is to explain how is rational algebraic expressions different with fractions.

In a rational algebraic expressions, the expression function in the numerator and denominator both are non - zero polynomials. A fraction is of the form {x/y}, in which it is not necessary that {x} and {y} should be polynomials only. They can be numbers also.

Therefore, the difference between rational algebraic expressions and fractions is discussed above.

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Answer:

D

Step-by-step explanation:

Line A has a proportionality of 1 between x and y.

Given that,
Lines A, B, and C show proportional relationships.

Which line has a constant of proportionality between y and x of 1 is to be determined.

Proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

here,
Line A shows the proportionality relationship of 1 as,
y = x
While comparing the proportionality equation y = kx
The value of the proportionality constant values to be k = 1

Thus, Line A has a proportionality of 1 between x and y.

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Question is incomplete,
The missing relations can be given as,
For line A, y = x

For line B, y = 2x
For line C, y = 38x

Absolute value which means even negative integers are considered as positive

Answer:

1 1/2

Step-by-step explanation:

3/2= 1 1/2

We conclude that Marcus jogged 7 miles while Elena jogged 8 miles.

This is the concept of algebra, let the number of miles jogged by Marcus be x, the number of miles jogged by Elena is (x+1) miles:

Total number of miles jogged by the two individuals will be:

x+(x+1)=15

2x+1=15

putting like terms together we get:

2x=15-1

2x=14

hence

x=14/2 =7miles

therefore we conclude that Marcus jogged 7 miles while Elena jogged 8 miles.

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Answer:

huh

Step-by-step explanation:

As per the double integral, the flux of the vector is 2√11(6z + 1) + 176

What is double integral small definition?

In math, Double integrals are used to find the flux of a vector field through a given surface S and find the normal to the given surface and equations of the surface to find the limits of integration.

And it is calculate by the formula as Flux= ∫∫F⋅ndS

Here we have given that S be the part of the plane 2x + 1y + z = 2 which lies in the first octant, oriented upward.

And we need to find the the flux of the vector field F = 1i + 1j + 3k across the surface S.

As per the formula of flux of vector, it can be written as,

=>Flux =  ∫∫(1i + 1j + 3k) . 2 dS

When we integrate this one the we get,

=> Flux = 2√11(6z + 1) + 176

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The measure of angle x is 140°

For given question,

We are given that a pair of parallel lines is cut by a transversal line .

Let a pair of parallel lines are PQ and RS and the transversal line AB cut the parallel lines PQ and RS.

We are given that an exterior angle on the left side of the transversal line is 40 degrees.

The interior angle on the right side of transversal line is x which is not vertical opposite to exterior angle = 40 degrees

We know that when two lines are parallel and cut by a transversal line then corresponding angles are congruent.

So, angle MNR = 40°

Also, ∠MNR + ∠MNS = 180°           ...............(linear pair of angles)

⇒ 40° + x = 180°

⇒ x = 140°

Therefore, the measure of angle x is 140°

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The radius of the silo which is in the shape of cylinders and spheres  , correct to the nearest tenth of a foot, is approximately 10.3 feet.

To find the radius of the silo, we need to determine the radius of the cylindrical section.

The volume of the cylindrical section can be calculated using the formula:

\(V_{cylinder} = \pi * r^2 * h\)

where \(V_{cylinder}\) is the volume of the cylindrical section, r is the radius of the cylindrical section, and h is the height of the cylindrical section.

Given that the cylindrical section is 30 ft tall, we can rewrite the formula as:

\(V_{cylinder} = \pi * r^2 * 30\)

To find the radius, we can rearrange the formula:

\(r^2 = V_{cylinder} / (\pi * 30)\)

Now, we can substitute the total volume of the silo, which is 10,000 cubic feet, and solve for the radius:

\(r^2 = 10,000 / (\pi * 30)\)

Simplifying further:

\(r^2 = 106.103\)

Taking the square root of both sides, we find:

\(r = \sqrt{106.103} = 10.3\)

Therefore, the radius of the silo which is in the shape of cylinders and spheres  , correct to the nearest tenth of a foot, is approximately 10.3 feet.

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ABCD can be square if the distance between all four points is the same.

A square is a two-dimensional closed shape with four equal sides and four corners. The opposite sides of the square are parallel to each other. A square is also a rectangle with equal length and width. A square is an equilateral quadrilateral with all four equal sides and all four equal angles. Square angles are right angles or 90 degrees. Also, the diagonals of the square are equal and bisect at 90 degrees. A square is just a quadrilateral with four equal sides. There are many rectangular objects around us.

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14x - 2

To find the difference between (−5x+7) and (9x+5), we need to subtract the first expression from the second.

(9x+5) - (-5x+7)

= 9x + 5 + 5x - 7 [Distribute the negative sign to (-5x+7)]

= 14x - 2

Therefore, the difference between (−5x+7) and (9x+5) is 14x - 2.

Answer:

I am not sure what you would like me to answer but you can either message me or just make another question with either the rest of the question or a picture of your question. I am happy to help under any circumstance.

Answer:

B

Step-by-step explanation:

Looking at the graph, we can see that g(x) is a compressed version of f(x) in the x direction but stretched in the y direction. We know that it is compressed because the values of g(x) are inside of f(x) in the x direction, and that it is streched because the values of g(x) are higher than the values of f(x) in the y direction.

Next, we want to figure out how much g(x) is a compression/stretch of x.

In the y direction, at x=1, y=1. At x=3, y=9. The ratio between the y values is 9/1 = 9, so in the y direction, the graph is streched by 9.

A stretch in the y direction can be represented by kf(x), with k representing how much the graph is stretched. In our example, k=9, so we have

kf(x) = 9f(x) = 9(x²) = 9x². This is equal to (3x)² = 9x², or B

In the x direction,  at x=1, y=1. At x=3, y=9. The ratio between the x values is 3/1 = 3, so in the x direction, the graph is compressed by 3.

f(kx) represents a compression by a factor of k in the x direction, and k =3 here, so we have

f(kx) = f(3x) = (3x)² = 9x² = B

Answer:

WX // ZY > GIVEN

WX~ZY (SIDE) > PARALLEL LINES ARE CONGRUENT

<Z~<X (ANGLE) > GIVEN

WY~WY (SIDE) > REFLEXIVE PROPERTY OF CONGRUENCE

TRIANGLE WXY ~ TRIANGLE YZW > SAS

The approximate APR for James' cabinet purchase can be calculated using the formula Approximate APR = (Finance Charge ÷ #Months) (12) ÷ Amount Financed. Plugging in the given values, we get (49 ÷ 18) (12) ÷ 438 = 0.0397 or 3.97%. Rounded to the nearest tenth, the approximate APR is 4%.

APR, or Annual Percentage Rate, is the annual interest rate charged by a lender for borrowing money. It includes not only the interest rate but also any additional fees or charges associated with the loan. The APR helps borrowers compare different loan offers and understand the true cost of borrowing.

It is important to note that the APR is an approximation and may differ from the actual interest rate charged over the life of the loan, especially if the loan has variable rates or fees. When considering a loan, it is important to compare not just the APR but also the terms and conditions of the loan, such as the repayment period, monthly payments, and any penalties for early repayment.

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Answer:

33.33...%

Step-by-step explanation:

Fast and easy method: Money left ÷ money had × 100

Divide 12 by 36:      \(\frac{12}{36}\)

Multiply to 100:       \(\frac{12}{36}\times \frac{100}{100}\)

Simplify:                  \(\frac{12}{36}\times \:1\)

                               \(\frac{1}{3}\times \:1\)

                               \(\frac{1}{3}\)

1/3 is 33.33... in decimal form.

Answer:

a + b = 30

ab = 144

b/a = 24/6 -> 4/1 -> 4

(a+b)^2 -> a^2 + 2ab + b^2 = (24+6)^2 -> 24^2 + 2*144 + 6^2 -> 900

Step-by-step explanation: