Reggie receives a gift card worth $85 for an online movie store that rents movies for $2.50 and sells movies for $9.75. Reggie wants to buy or rent a minimum of 10 movies using only this gift card. Select all viable solutions

A. 0 movie rentals and 8 movie purchases


B. 4 movie rentals and 6 movie purchases


C. 7 movie rentals and 7 movie purchases


D. 7 movie rentals and 2 movie purchases


E. 6 movie rentals and 7 movie purchases


F. 11 movie rentals and 6 movie purchases


G. 12 movie rentals and 5 movie purchases

Answer:

Step-by-step explanation:

if it's talking about between the numbers 75 to 97, then it's 22.

The integration of the equation \(32 rx - x - 5 dx = +2 o (\)A) 条 10 - +30m: 及 25 21 (B) can be done as follows:

\(∫(32rx - x - 5)dx = 2(A)条10- + 30m: 及 25 21(B)\)

To integrate the equation, we use the power rule of integration, which states that ∫x^n dx = (x^(n+1))/(n+1), where n is any real number except -1.

Applying the power rule, we integrate each term of the equation separately:

\(∫32rx dx = 16r(x^2)/2 = 16rx^2\)

∫x dx = (x^2)/2

∫5 dx = 5x

Now we substitute the integrated terms back into the original equation:

\(16rx^2 - (x^2)/2 - 5x = 2(A)条10- + 30m: 及 25 21(B)\)

The resulting equation is the integration of the given equation.

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2.6 *  10⁻⁶  F  is the capacitance.

What is a capacitor short answer?

A capacitor is a component used in electrical circuits to hold charges. The idea behind how a capacitor functions is that when an earthed conductor is moved close to a conductor, its capacitance increases noticeably.

                                      As a result, a capacitor contains two plates with equal and opposing charges that are spaced apart. Two conductors that are near to one another and are isolated from one another make up a capacitor, a device for storing electrical energy. The parallel-plate capacitor is a straightforward illustration of such a storage device.

We have realtion Q=CV  

where Q is charge ,  C is capacitance and V is voltage.

C=Q/V

C=(2500 *  10⁻⁶)/960

C= 2.6 *  10⁻⁶  F

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Alan drive if he uses 4 gallons of gas is 75 miles distance

The following function calculates the distance (in miles) he travels on gallons of gas. D(g)=25g

Where D(g) is the distance traveled in gallons.

and g denoted the quantity of gasoline used

We are asked to calculate the distance traveled in three gallons of gasoline. To do this, we will set the value of g to 3 in our function.

D(3)=25 x 3 = 75

As a result, Chris's automobile traveled 75 miles on three gallons of petrol.

The length of the line segment connecting two places, for example, is the distance between them. a two-dimensional plane, which may also be  in a three-dimensional plane. In coordinate geometry, there are several forms of distance formulae.

Distance between two locations in a two-dimensional plane

Distance between two locations in a three-dimensional plane

Distance in 2D from a point to a line

2D distance between two parallel lines

3D distance from a point to a line

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Answer:

3,600 kg

Step-by-step explanation:

2,400÷6=400

400×3=1200

2,400+1,200= 3,600 kg

The given statement is 1. Always true

2. Always true

3. Always true

4. Sometimes true

5. Never true

Statement 1: A line and a point are always coplanar.

Answer: Always true.

Reason: This statement is always true because a line and a point can always be found on the same plane. In Euclidean geometry, a plane is a flat surface that extends infinitely in all directions, and any two points on the plane can be connected by a straight line. Therefore, a line and a point will always lie on the same plane.

Statement 2: Congruent angles form vertical angles.

Answer: Always true.

Reason: Vertical angles are formed by the intersection of two lines. When two angles are congruent, it means they have the same measure. If two angles have the same measure and are formed by the intersection of two lines, then they are vertical angles. Therefore, congruent angles always form vertical angles.

Statement 3: Linear pairs that are congruent are right angles.

Answer: Always true.

Reason: A linear pair consists of two adjacent angles that share a common side and form a straight line. If the two angles of a linear pair are congruent, it means they have the same measure. In Euclidean geometry, a straight angle measures 180 degrees. If two angles in a linear pair are congruent and their measures add up to 180 degrees, then each angle must measure 90 degrees, which is the measure of a right angle. Therefore, linear pairs that are congruent are always right angles.

Statement 4: The sum of angles that form a linear pair is less than 180 degrees.

Answer: Sometimes true.

Reason: The sum of angles that form a linear pair is always equal to 180 degrees, not less than 180 degrees. This is based on the definition of a linear pair, which states that the two angles in a linear pair are supplementary, meaning their measures add up to 180 degrees. However, if the statement said "less than or equal to 180 degrees," then it would be always true.

Statement 5: Vertical angles are complementary.

Answer: Never true.

Reason: Vertical angles are not complementary. Complementary angles are two angles that add up to 90 degrees. Vertical angles, on the other hand, are a pair of non-adjacent angles formed by the intersection of two lines. They do not necessarily have any specific relationship to each other in terms of their angle measures. Therefore, vertical angles are not complementary by definition.

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The truth of each statement depends on the properties of angles and theorems that support them. A line and a point are always coplanar, congruent angles can sometimes form vertical angles, congruent linear pairs are not always right angles, the sum of angles that form a linear pair is always 180 degrees, and vertical angles are never complementary.

To determine the truth of each statement, we need to consider the properties of angles and theorems that support them.

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The strength factor of the evidence you just got that you picked the special box is 4.

Given:

There are four boxes that look the same. in one box (the special one), half of the marbles are blue. but only 1/8 of the marbles in the other boxes are blue.

Hypothesis =  The box the blue marble was picked from is the special box.

Prior confidence = 1:3 (ratio of special boxes to non special boxes )

Now P(B | S) = 1/2 (given that a box is selected from the special box, there is 1/2 chance that it is blue)

And P(B | NS) = 1/8 (given that a box is selected from a non-special box, there is 1/8 chance that it is blue)

According to  bayes factor ,we get:

P(B | S)/P(B | NS) = (1/2)/(1/8) = 4

Thus, 4.

Therefore the strength factor of the evidence you just got that you picked the special box is 4.

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The presence of a negative externality causes the MSC to be higher than the MSB, which leads to the market over-producing the good. This is because producers are only taking their private costs and benefits into account, not the costs and benefits to society as a whole. The difference between the private and social optima is known as the deadweight loss. In this case, the deadweight loss is equal to the shaded triangle in the attached image.

1. This is a negative externality. We can see this by the MSC being higher than the MSB. This means that the cost to society of producing the good is higher than the benefit to society, resulting in the market over-producing the good.2. See the attached image. 3. At private decision making, we set the MSB equal to the MPC: 12-0.5Q = 2+0.5Q. Solving for Q gives Q = 8. 4. To find the socially optimal quantity, we need to set MSB equal to MSC: 12-0.5Q = 2+1.5Q. Solving for Q gives Q = 4. 5. The private and social optima are different because of the negative externality.

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The lateral area of the cylinder with a radius of 2 and a height of 4 is 16π square units.

To find the lateral area of a cylinder, you need to calculate the surface area of the curved side of the cylinder. The formula for the lateral surface area of a cylinder is:

Lateral Area = 2πrh

Given that the radius (r) is 2 and the height (h) is 4, you can substitute these values into the formula:

Lateral Area = 2π(2)(4)

= 16π

Therefore, the lateral area of the cylinder with a radius of 2 and a height of 4 is 16π square units.

The original short-run supply curve shifts left, causing the market price to decrease to P2 and the quantity to decrease to Q2.

As a result, some firms exit the market, causing the short-run supply to shift back to the right and the market to return to equilibrium at a lower quantity, Q3, and the same price, P2.

When demand decreases, the original short-run supply curve shifts leftward as firms reduce production to meet the lower demand. This causes the market price to decrease to P2 and the quantity to decrease to Q2.

At this lower price, some firms may exit the market if they are unable to cover their costs, causing the short-run supply curve to shift back to the right.

As a result, the market quantity decreases further to Q3, and the market returns to equilibrium at the same price, P2. In the long run, the supply curve may shift further to accommodate the lower demand, resulting in a new equilibrium price and quantity.

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Answer: 1,200 dollars

Step-by-step explanation:

We know that the cost before the discount is 6,000.

The discount price is 80% off.

So, subtract 4,800 by 6,000 because 80% of 6,000 is 4,800.

Now, we have to add the two zeros. We get 1200.

It is the answer to the question.

Answer:

Right triangle

Step-by-step explanation:

we are given three sides as 14 ft, 48 ft, and 50 ft

Firstly, we will verify for right angle

We know that any triangle is right angled when it satisfies Pythagoras theorem

We know that hypotenuse side value is always largest

so, hypotenuse=c=50

Let's assume other two sides as

a=14

b=48

now, we can use Pythagoras theorem formula

C²=a²+b²

we can plug values and we check whether left side is equal to right side

50²=14²+48²

2500=196+2304

2500=2500

we can see that left side is equal to right side

Since, it satisfies Pythagoras theorem

Therefore, Right triangle is the answer

Answer:

I believe, obtuse.

Step-by-step explanation:

You have one extremely small side, two long sides. If you put your hands together and logically measure the 14 length side, you'd realize it is obtuse. I have no mathematical evidence.

Answer:

1. (4,2)

2. No solution

3. (1,3)

Answer:

A major source of hydroelectric power: Niagara Falls.

A volcano that grew out of a cornfield in 1943: Paricutin.

A natural barrier to settling in the West: Rocky Mountains.

The highest mountain peak in North America: Mount McKinley.

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Y = (1/6)*e^5t  is  differential equation .

What exactly does differential equation mean?

An equation that connects one or more unknown functions and their derivatives is known as a differential equation in mathematics.  

                                     Applications typically use functions to describe physical quantities, derivatives to indicate the rates at which those quantities change, and differential equations to define a relationship between the two.

y′′−9y′+26y=e^(5t)

The characteristice equation of the differential equation is : r^2 -9r +26 =0

On solving we get the values of r=4.5 + 2.34i (z1) ,  4.5 - 2.4i(z2)--- (complex roots)

homogeneous solution is: yh = c1e^z1t + c2e^z2t

Plug  Y = Ae^5t in the ODE:

=   25Ae^5t -9*5Ae^5t +26Ae^5t =e^(5t)

25A -45A +26A =1 ;  6A = 1; A =1/6

Y = c1e^z1t + c2e^z2t  is a general solution but we wnata particular solution

So, simply Y = (1/6)*e^5t

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Suppose ;

\(the \: angle \: = \: x\)

Thus the supplementary of x is :

\(180 - x\)

_________________________________

x angle measures 4° more than its supplementary ;

So :

\(x - (180 - x) = 4\)

\(x - 180 + x = 4\)

\(2x - 180 = 4\)

Add sides 180

\(2x - 180 + 180 = 4 + 180\)

\(2x = 184\)

Divided sides by 2

\( \frac{2}{2}x = \frac{184}{2} \\ \)

\(x = 92\)

Thus the angles measures

are : 92° and 88°

DONE....

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The value of angle GFD in the inscribed angle is 140 degrees

An inscribed angle is an angle formed by two chords of a circle that intersect within the circle. The vertex of the angle is on the circumference of the circle and the rays of the angle are chords of the circle. The measure of an inscribed angle is equal to half the measure of the central angle that intercepts the same arc as the inscribed angle.

An inscribed angle is equal to half the measure of its intercepted arc. Since arc FD measures 280, the measure of angle GFD is half of 280, or 140 degrees. To the nearest degree, the measure of angle GFD is 140.

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The definition of slope-intercept form y=mx+b is given below.

A line has length but no breadth, making it a one-dimensional figure. A line is made up of a collection of points that may be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it. Collinear points are two points that are located on the same line.

In geometry, there are two types of lines: straight and curved. Vertical and horizontal straight lines are further divided into categories. Parallel, intersecting, and perpendicular lines are further types of lines.

In the given question:-

The value of the steepness or the direction of a line in a coordinate plane is referred to as the slope of a line, also known as the gradient. Given the equation of a line or the coordinates of points situated on the straight line, slope may be determined using a variety of approaches.

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The dimensions of a norman window of maximum area if the total perimeter is 14 feet are 2 ft and 4 ft respectively.

Given:

a norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window

we are asked to  find the dimensions of a norman window of maximum area if the total perimeter is 14 feet.

the area of the semicircle is given by:

A = πr²/2

The area of the rectangle is just the product of its length and width.

Letting A be the area of the window and adding the two ares, we have:

A = xy + π(y/2)²/2

= xy + π(y²/4)/2

= xy+πy²/8

we know the circumference = πd

the circumference of a semicircle is half of that. The perimeter of a rectangle is the sum of twice the length and twice the width. However, one of the sides is replaced by the semicircle, so we remove it from the equation.

Hence, we have the following equation for the perimeter.

14 = 2x+y+πy/2

let us isolate x from this equation

14 = 2x+y+πy/2

14-y-π/2 = 2x

x = 7-y/2-πy/4

substituting x to the equation for the area, w have:

A = xy + πy²/8

= (7 - y/2 - πy/4)y + πy²/8

= 7y - y²/2 - πy²/4 + πy²/8

= 7y - y²/2 - 2πy²/8 + πy²/8

= 7y - y²/2 - πy²/8

differentiating A with respect to x.

A = 7y - y²/2 - πy²/8

A' = 7 - y - πy/4

⇒ 7 - y - πy/4 = 0

⇒ 28 - 4y - πy=0

⇒ 28 = 4y+πy

⇒ 28=(4+π)y

⇒ y = 28/4+π ≈ 4 ft

perimeter:

14 = 2x+y+πy/2

14 = 2x + 28/4+π + π(28/4+π)/2

14(8+2π)=2x(8+2π)+28(2)+28π

112+28π = 16x+4πx+56+28π

112-56=16x+4πx

56=(16+4π)x

x=56/16+4π

= 14/4+π

x=14/4+π≈ 2 ft.

Hence the dimension are 2 ft and 4 ft.

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Answer:

I think it is 4

I am not sure about it

Answer:

3500.035

I'm not sure

.

Step-by-step explanation:

.

Answer: It’s $3,806.25

Step-by-step explanation:

No explanation, I did the quiz and the other person who answered gave an answer that wasn’t in the multiple answers so I guessed and got it correct.

Answer:

15 hours

Step-by-step explanation:

40/8 = 75/x

40x = 600

x = 15

Answer:

About 15

Step-by-step explanation:

40 items/8 hours = 5 items per hour( his rate)

75 items/ 5 items per hour= 15 hours

At his rate it will take him about 15 hours to make 75 items

Answer:

A. Energy (weight)

Step-by-step explanation:

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Answer

pi.

Step-by-step explanation:

If you add pi (3.14) to 3/4, you will get an irrational answer.

Answer:

\(\\\sf7x^3 - 2x^2 - 5\)

Step-by-step explanation:

\(\\\sf(6x^3 + 3x^2 - 2) + (x^3 - 5x^2 - 3)\)

Remove parenthesis.

6x^3 + 3x^2 - 2 + x^3 - 5x^2 - 3

Rearrange:

6x^3 + x^3 + 3x^2 - 5x^2 - 2 - 3

Combine like terms to get:

----------------------------------------

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Answer:

7x³ - 2x² - 5

Step-by-step explanation:

(6x³ + 3x² - 2) + (x³ - 5x² - 3)

Remove the round brackets.

= 6x³ + 3x² - 2 + x³ - 5x² - 3

Put like terms together.

= 6x³ + x³ + 3x² - 5x² - 2 - 3

Do the operations.

= 7x³ - 2x² - 5

____________

hope this helps!

Answer:

T" = (-3,5)

Step-by-step explanation:

When you reflect across the x axis, y is the value that is changed. It become

(x, - y). In this case T' = (3,5)

Now T' is reflected across the y axis. Only the x value is altered. It becomes (-x,y). So T" becomes (-3,5)

Answer:

T = (-3,5)

Step-by-step explanation:

It’s like the opposite of 5 is -5

The same thing with this just in coordinates

Answer:

36

Step-by-step explanation:

24 customers dividend into 4 tables

so 24/4 = 6

then 6 customers can sit in 1 table

in case of 6 tables 6×6 =36

36 customers would sit in 6 tables

Answer:

\(3.2129 \times {10}^{5} \)

Step-by-step explanation:

\((7.22 \times {10}^{1} )(4.45 \times {10}^{3} )\)

\((7.22 \times 4.45) \times ( {10}^{1} \times {10}^{3} )\)

\(32.129 \times {10}^{4} \)

\(3.2129 \times {10}^{5} \)

Answer:

48×14 in.

Step-by-step explanation:

\(50^{2} =48^{2} +14^{2}\)

\(2500=2304+196\)

\(2500=2500\)

The TV screen is 48 inches long and 14 inches high.

Hope this helps.