Find the value of x and y

The cups of milk required for the  ( 2 / 5 ) of a gallons used ( 1 / 4 ) for a coffee is given by 2.4 cups.

Here,

( 2 / 5 ) of a gallons is equal to 0.4 gallons.

( 1 / 4 ) of gallons used for coffee that is equal to 0.25 gallons.

Total gallons left after coffee is equal to

= ( 0.4 ) - ( 0.25 )

= ( 0.15 )gallons

Conversion of gallons to cups is given by :

1 gallon = 16 cups

⇒  ( 0.15 )gallons = 0.15 × 16 cups

⇒  ( 0.15 )gallons = 2.4 cups of milk used.

Therefore, the 2.4 cups of milk is used when  ( 2 / 5 ) of a gallons used ( 1 / 4 ) for a coffee.

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The pole is 34.93 feet tall. The solution has been obtained by using trigonometry.

What is trigonometry?

Trigonometry is the branch of mathematics that focuses on the study of the sides, angles, and connections of the right-angle triangle.

We are given that Leon is standing 67 feet from a telephone pole. Leon's angle of sight up to the bird is 24° and his eyes are 5.1 feet above the ground.

From this, a figure is obtained which is attached below.

Using trigonometry,

We know that tan theta = opposite side/ adjacent side

So,

⇒tan θ = x/67

Here, θ = 24°

So,

⇒tan 24° = x/67

⇒x = 67 tan 24°

⇒x = 67 * 0.4452

⇒x ≈ 29.83

The height of the pole = 29.83 + 5.1 = 34.93 feet

Hence, the pole is 34.93 feet tall.

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The largest possible side length of the tiles that can be used is `12` inches as it can cover the entire bathroom without any gaps or cutting of tiles.

The largest tile that can be used is a square tile. To calculate the side length of the largest possible tile, divide the length and width of the bathroom by 4.

`48/4 = 12`

`60/4 = 15`

The largest possible side length of the tiles that can be used is `12` inches. Jayla's parents are replacing their bathroom floor with square tiles. The floor is a rectangle that is `48` inches by `60` inches. To cover the entire bathroom with no gaps, and without having to cut any of the tiles, they need to use a tile that is the same size as the largest possible tile that can cover the entire floor without any gaps.

To calculate the side length of the largest possible tile, divide the length and width of the bathroom by 4. This is because a tile needs to cover 4 sides of the floor without any gaps, so the side length of the tile needs to be equal to the length divided by 4, or the width divided by 4.

In this case, the side length of the largest possible tile is `12` inches. This is because `48/4 = 12`, and `60/4 = 15`. As `15` is larger than `12`, the side length of the largest possible tile is `12` inches. This means that the tiles need to be `12` inches by `12` inches in size to cover the entire bathroom without any gaps.

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Answer:

2. $9.99

3. 45 tickets for $27

4. 20 cents

Step-by-step explanation:

2. 79.92/8 = 9.99

3. 27/45 0.6 and 15/20 = 0.75 and 60 cents is less than 75 cents

4. 6/30 = 20

Answer:

Step-by-step explanation:

79.92/8= 9.12 per cd

15/20= .75

27/45=.6 better deal because it is .60 cents per ticket

6/30= .20 per can

Answer:

The minimum value is 2.5.

Step-by-step explanation:

This is a sine wave that is parallel to the x axis.  It will never go below 2.5, as shown on the graph.

The estimated probability  that Roger runs less than 5 km in his next tennis match is  33%.

The dot plot summarizes the distance Roger ran in his recent tennis matches. To estimate the probability that he will run less than 5 km in the next match, we can use the data from the dot plot.

So according to question, there are kilometres as :

3 km, 4 km, 5 km, 6 km, and 7 km.

Total matches he played

for 3 km- 1 match , for 4 km- 2 matches , for 5 km- 4 matches, for 6 km- 0 matches, and for 7 km- 2 matches.

Out of 9 matches, he ran less than 5 km in 3 matches.

So the probability that Roger runs less than 5 km in his next tennis match is: 3/9  = 1/3

So the percentage will be : 33.33%   ≈ 33%

Therefore, the estimated probabilityrobability that Roger runs less than 5 km in his next tennis match is 1/3 or about 33%.

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Answer: 33%

Step-by-step explanation:

The quantity of shares you own can impact your dollar gains and losses, but not your rate of return. The length of time you hold the shares can have a significant impact on your rate of return, with longer holding periods generally leading to higher returns.

Investing in stocks can be a great way to earn money, but it's important to understand how your investments can impact your gains and losses. Two key factors that can impact your returns are the quantity of shares you own and the length of time you hold the shares. In this article, we'll explore how these factors can affect your rate of return.

The quantity of shares you own can have a direct impact on your dollar gains and losses. When the stock price goes up, the value of your shares also increases. Similarly, when the stock price goes down, the value of your shares also decreases. If you own more shares, the dollar amount of your gains and losses will be greater.

But, how does the quantity of shares impact your rate of return? Rate of return is the percentage change in the value of your investment over a certain period of time. It takes into account the gains and losses as well as the length of time you held the investment.

The length of time you hold the shares can have a significant impact on your rate of return. Generally, the longer you hold the shares, the higher your rate of return will be. This is because the stock market tends to go up over time, and the longer you hold the shares, the more time you have to benefit from this growth.

So, how does the quantity of shares you own impact your rate of return? As we mentioned earlier, the rate of return is only impacted by the percentage change in the stock price, not the quantity of shares. However, owning more shares can provide you with a higher dollar amount of gains, which can lead to a higher rate of return.

Additionally, the longer you hold the shares, the higher your rate of return will be. This means that if you own more shares and hold them for a longer period of time, you can potentially earn a higher rate of return.

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To determine whether the errors from the linear regression model are from a normal distribution, examine the normal quantile plot of the residuals.

Calculating the regression equation is the first step in a straightforward linear regression model. The link between the explanatory variable (x) and the response variable is modelled using this equation (y). A linear function of the explanatory variable, an intercept term, and an error term make up the regression equation. The errors or residuals (e), which indicate the difference between the observed and expected values of the response variable, are calculated as the following step. To evaluate the regression model's accuracy, the residuals are crucial.  The residuals are then plotted using a normal quantile to see whether it is acceptable to believe that the errors are derived from a normal distribution. Because linear regression models presume that the errors are regularly distributed, this is significant. The residuals' normal quantile plot shows the distribution of the mistakes graphically, making it simpler to determine whether the errors follow a normal distribution. The linear regression model might not be the optimal one to employ if the errors do not follow a normal distribution.

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the solution is where they intercept; (2,-4)

Step-by-step explanation:

an inscribed angle has its vertex on the circle, and the sides of the angle are two chords of the circle.

the inscribed angle is half the size of the arc angle (the angle at the center of the circle) of the arc that the two sides cut out of the circle.

110° is the arc angle (at the center of the circle) of the arc GJ.

for the inscribed angle GFJ the vertex is F, and the angle there is half of the arc angle :

angle GFJ = 110/2 = 55°

the second problem is the opposite "direction".

we have the inscribed angle FJH = 36°.

and we want the arc angle FH.

now, since the inscribed angle is half of the arc angle, the arc angle is twice the inscribed angle :

arc angle FH = 36×2 = 72°

1. It should be noted that HD = EM and HE = OM. In this case, the opposite sides are equal in the rectangle.

2. It should be noted that EHO = HOM = OME = MEH = 90°. In this case, all angles are equal to 90°.

Postulates are assertions that, in the absence of evidence, are taken to be true. Postulates have two functions: they define undefined terms and act as a foundation for the proof of subsequent propositions.

A line segment is determined by two points. A line segment may be extended along a line indefinitely. The other information is attached.

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a. The greatest number of packages the teacher can make using all the paintbrushes and paint is 8

b. The number of paintbrushes in each package would be 3 and the number of tubes of paints would be 5

In order to determine the greatest number of packages the teacher can make using all the paintbrushes and paint, we have to determine the highest common factor of the number of brushes and the number of tubes of paint

Highest common factor is the highest factor that is common to two or more numbers:

Factors of 24 = 1,2,3,4,6,8,12 and 24

Factors of 40 = 1, 2, 4, 5, 8, 10, 20 and 40.

Common factors of 24 and 40 = 1, 2, 4, 8

Therefore, the highest common factor is 8.

The number of paintbrushes in each package:

= Number of brushes / number of package

= 24/8

= 3 brushes

The number of tubes of paint:

= number of tubes of paints / number of package

= 40 / 8

= 5 tubes of paints

Full question "An art teacher is making packages of paint brushes and paint for his. He has 24 brushes and 40 tubes of paint. Each package will have the same number An art teacher is making packages of paintbrushes and paint for his students. of brushes and the same number of tubes of paint. Part a. What is the greatest number of packages that the art teacher can make using all the paintbrushes and paint? Show your work Part b. How many paintbrushes and tubes of paint are in each package?​".

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Answer: 38.8°

Step-by-step explanation:

See the attached diagram:

From it we can tell that the tunnel forms a right triangle, with the length of a leg and the hypotenuse given. We can use the sine function to easily answer this, (letting θ be the angle we need to find)

sinθ = 52/83

.: θ = arcsin(52/83)

(Note: arcsin is the inverse of the sine function)

.: θ ≅ 38.8°

Answer: 49.5 dollars

Step-by-step explanation: the original price is 330, but the sale takes 15 percent off

so we turn 15% into a decimal so we can multiply 330 and 15%

we get 0.15 × 330 = 49.5

When m is 20 the value of expression is 6.5. The value 6.5 represent the cost which marcia has to pay for car wash for 20 mins.

An expression is combination of variables, numbers and operators.

Given that Marcia's cost, in dollars, to wash her car can be calculated using the expression

0.25m +1.50

Zero point two five plus one point five.

In the expression m represents the number of minutes the car wash will run.

We need to find the value of expression when m is 20

0.25(20)+1.50

5+1.50

6.5

When m is 20 the value of expression is 6.5. The value 6.5 represent the cost which marcia has to pay for car wash for 20 mins.

Hence, Marcias cost $6.5 to wash her car for 20 minutes.

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The mean of a sample is the average of all values in the sample. The mean of a sample is generally always smaller than the mean of the population from which the sample was taken, since the sample is only a small subset of the population.

The mean of a sample can never be zero or negative, since it is an average of all the values in the sample. The mean of a sample can also never be greater than the mean of the population. None of these alternatives is correct.

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If the slope of a staircase is 0. 95 and rises with 210, then the run is:

221.05 units.

In this problem, we can use the formula for the slope of a staircase, which is given by:

where "rise" is the vertical height of the staircase and "run" is the horizontal distance of the staircase.

We are given the slope of the staircase as 0.95 and the rise as 210. We can substitute these values in the formula and solve for the run:

Multiplying both sides by run, we get:

Dividing both sides by 0.95, we get:

Simplifying the expression, we get:

Therefore, the run of the staircase is approximately 221.05 units.

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Answer:

13

Step-by-step explanation:

Answer:

x + y = -9

Step-by-step explanation:

let x = -8, y = -1

the equation that passes through the point (-8,-1) is x + y = -9

Answer:

C. it decreases the removal of carbon dioxide from the atmosphere

Answer:

Step-by-step explanation:

it decreases the production of ozone in the atmosphere

The transformations from the function f(x) to g(x) is horizontal shift: Right 4 Units and vertical shift: Up 1 Units.

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.

The given functions are f(x)=x³ and g(x)= -(x-4)³+1.

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

Horizontal Shift: Right 4 Units

Vertical Shift: Up 1 Units

Reflection about the x-axis: None

Reflection about the y-axis: Reflected

Vertical Compression or Stretch: None

Therefore, the transformations from the function f(x) to g(x) is horizontal shift: Right 4 Units and vertical shift: Up 1 Units.

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The probability of getting one club and one heart is 0.127.

p= [tex]\frac{13*13*2*1}{52*51}[/tex]=0.1275

One of the areas of probability theory is the estimation of the chance of experiments occurring. Using a probability, we can calculate everything from the likelihood of getting heads or tails when flipping a coin to the likelihood of making a research error, for example. It is essential to appreciate the most basic definitions of this branch, such as the formula for computing probabilities in equiprobable sample spaces, the likelihood of two events joining together, the probability of the complementary event, etc., in order to properly understand it .Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. Mathematics has incorporated probability to forecast the likelihood of various events.

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Answer:

29/5

Step-by-step explanation:

hope this helps

a) Sin2θ = 22/20 = 11/10

b) cos 2θ = 2(17/20) = 17/10

c)tan 2θ = 2(11/17) = 22/17

The trigonometric ratios are six functions that relate the angles of a right triangle to the lengths of its sides. The six trigonometric ratios are: sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot).

Sine (sin): The sine of an angle is the ratio of the length of the side opposite the angle to the length of the hypotenuse.

Cosine (cos): The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

Tangent (tan): The tangent of an angle is the ratio of the length of the side opposite the angle to the length of the adjacent side.

If sin θ = 11/20

The missing side of the triangle is;

b = √20^ - 11^2

b = 17

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The amount in the college fund is $16,899.66

In order to determine the amount in the college fund, we need to find the  future value of the money.

The formula for the future value of money is:

FV = PV * (1 + r)^t

where:

FV = future value

PV = present value (initial amount)

r = interest rate (as a decimal)

t = time (in years)

PV = $5000, r = 7% = 0.07, t = 18

FV = PV * (1 + r)^t

FV = 5000 * (1 + 0.07)¹⁸

FV = 5000 * (1.07)¹⁸

FV = $16,899.66

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Complete Question

When a new baby is born to the Johnsons, the family decides to invest $5000 in an account that earns 7% interest as a way to start the baby's college fund. If they do not touch that investment for 18 years, how much will there be in the college fund?

The vector in component form is given as follows:

v = (6.9, 1.2).

Considering a vector with a magnitude of M and an angle of x, the component form notation for the vector is given as follows:

v = (Mcos(x), Msin(x)).

The parameters for this problem are given as follows:

Hence the components are given as follows:

Hence the vector is of:

v = (6.9, 1.2).

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Answer:

Complementary is 2 angles that add up to 90 degrees and supplementary is 2 angles that add up to 180 degrees

48+32=80 so that would be neither

101+77=178 so that would be neither

107+73=180 so that would be supplementary

Step-by-step explanation:

have a nice day.

Answer:

only here for points

Step-by-step explanation:

The area of the triangle PQR is 12 square units

From the question, we have the following parameters that can be used in our computation:

J(–2, 2), K(–2, 6), and L(–8, 2),

Reflection and rotation are rigid transformation

This means that

Area of PQR = Area of JKL

So, we have

Area = 1/2 * |x1y2 - x2y1 + x2y3 - x3y2 + x3y1 - x1y3|

So, we have

Area = 1/2 * |-2 * 6 + 2 * 2 + -2 * 2 + 8 * 6 - 8 * 2 + 2 * 2|

Evaluate

Area = 1/2 * |24|

So, we have

Area = 12

Hence, the area is 12 square units

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The proof for the congruence of triangles GHI and GFJ are given below.

Two or more triangles are said to be congruent if and only if sides and angles of one triangle is equal to the corresponding sides and angles of another triangle.

From the figure,

1) Line segment FJ ⊥ line segment FH (given)

2) ∠HGI = ∠FGJ (It is also given)

3) HI = FJ (Given). So HI ≅ FJ

4) HI ⊥ FH (given)

5) Since both the angles F and H are right angles,

∠F ≅ ∠H (since all right angles are congruent)

6) So we get that two angles and a non included side of ΔGHI are equal to the corresponding two angles and a non included side of ΔGFJ.

So by AAS congruence theorem, ΔGHI ≅ ΔGFJ.

Hence the given two triangles are congruent.

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