I need help with numbers 17 and 18.

Answer:

y = 8x - 8

Step-by-step explanation:

y-8 = 8(x-2)

y-8 = 8x - 16

y = 8x - 16 + 8

y = 8x - 8

Answer:

y=8x-8

Step-by-step explanation:

slope intercept form is y=mx+b

Where m is slope and b is y intercept

We can fill in for m

y=8x+b

Now we can fill the coordinates we know to find b

8=8(2)+b

8=16+b

-16 -16

-8=b

Now  we know b

y=8x-8

Hopes this helps please mark brainliest

Answer:

I am pretty sure $750

Step-by-step explanation:

Since there are 10 slices of cake, you would have to divded the cost ($2,500) by 10 to find out the cost per slice (you would get $250). Since we are finding the cost of 3 slices, you would mulitply 250 by 3, then you get your answer

The center of the circle, and consequently the central point of the resort's swimming pool, is located at the intersection of the two legs of the right triangle, approximately 60 feet from one vertex and 120 feet from the other.

The upscale resort has ingeniously designed its circular swimming pool to encompass a central area containing a restaurant. This central area takes the form of a right triangle with legs measuring 60 feet and 120 feet, while the hypotenuse, the longest side of the triangle, spans approximately 103.92 feet. The vertices of the triangle neatly coincide with points on the circumference of the circular pool.

Due to the properties of a right triangle, the hypotenuse is also the diameter of the circle. This means that the circular pool is precisely constructed around the right triangle, with its center located at the midpoint of the hypotenuse.

To determine the exact coordinates of the center of the circle, we can consider the properties of right triangles. Since the legs of the right triangle are perpendicular to each other, the midpoint of the hypotenuse coincides with the point where the two legs intersect.

In this case, the center of the circle is the point of intersection between the 60-foot leg and the 120-foot leg of the right triangle.

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Answer:

sorry beacuse I don't know anything

Answer:

Step-by-step explanation:

(5x + 4)(x^2 - 7x + 12)

5x^3 - 35x^2 + 60x + 4x^2 - 28x + 48

5x^3 - 31x^2 + 32x + 48

Answer:

96 dollars

Step-by-step explanation:

multiply 16 by 20% and get 3.2 so u add that with 16 and then multiply that by 5

Answer:

A-base (s); three congruent rectangles.

The perimeter of the triangle ΔWXY is P = 14.50 cm

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔXYZ

Now , the measure of sides of the inscribed triangle ΔQRS is

QR = 2.93 cm

RS = 2.04 cm

QS = 2.28 cm

where the points Q , R and S are the midpoints of the sides of the triangle ΔXYZ

So , the measure of sides of the triangle are twice the lengths of the sides of triangle ΔQRS

And , the perimeter P = 2 ( 2.93 + 2.04 + 2.28 )

On simplifying , we get

P = 2 ( 7.25 )

P = 14.50 cm

Hence , the perimeter is P = 14.50 cm

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The complete question is attached below :

What is the perimeter of ΔWXY?

a) 11.57 cm

b) 12.22 cm

c) 12.46 cm

d) 14.50 cm

The value of opposite side of angle θ would be,

⇒ EF

Since, A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that,

A right triangle EFD is shown in figure.

And, At angle E, right angle is shown.

We know that;

The Opposite side of a angle is called perpendicular side.

Hence, The value of opposite side of angle θ would be,

⇒ EF

Thus, Option A is true.

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Hypothesis testing is a statistical method in which an analyst conducts a hypothesis test on a sample of data to draw inferences about the entire population.
1. Hypothesis tests are one of Inferential statistics. True. Inferential statistics, which deals with generalizing sample data to the population from which the sample was taken, includes hypothesis testing.
2. Mean is a central tendency measurement it is necessary to be one of the raw data. False. The mean measures central tendency calculated by adding all the values and dividing by the number of observations. The mean value does not have to be one of the raw data values. It's just a mathematical calculation used to represent a typical value for a dataset.
3. Calculation of the mean considers all the data, while other measurements do not consider all raw data. True. The mean calculation considers all data points, whereas other measures of central tendency, such as the median and mode, do not. This property makes the mean more representative of the entire data set.
4. Mode, median, and mean are single when that data is normally distributed. False. The mode, median, and mean are distinct when the data is non-normal. The mode, median, and mean are identical when data is normally distributed.
5. Mutually exclusive events can contain common elements. False. If two events are mutually exclusive, they cannot occur simultaneously. They have no elements in common by definition.
6. In the standard normal distribution, μ=1 and σ=0. False. In the standard normal distribution, the mean (μ) is 0, and the standard deviation (σ) is 1.

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Answer:

1 answer is 2

2 answer 4

3 answer 10

Step-by-step explanation:

Add 1+1

get 2

Add 2+2

get 4

Add 3+7

get 10

The ordered pair (-5, -4) does not satisfy both equations simultaneously, it is not a solution to the system.

To check whether the ordered pair (-5, -4) is a solution of the system of equations:

1) 3x - y = -11

2) 2x - 2y = -3

We substitute x = -5 and y = -4 into both equations and check if the equations hold true.

For equation 1:

3(-5) - (-4) = -11

-15 + 4 = -11

-11 = -11

The equation is satisfied.

For equation 2:

2(-5) - 2(-4) = -3

-10 + 8 = -3

-2 = -3

The equation is not satisfied.

The ordered pair (-5, -4) does not satisfy both equations simultaneously, it is not a solution to the system.

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Answer:

-7x - 1/3

Step-by-step explanation:

-Remove paranthesis, add the -9x + 2x to get the -7x
-Multiply the -3/4 fraction by 3/3 to get 9/12

- In the two fractions, add -9 +5 over 12 to get -4/12 which simplifies to -1/3

Final answer: -7x -1/3

Answer:

-9x-(3/4)+2x+(5/12)

-9x-(1/3)+2x

-7x-(1/3)

The equation of the  given model is y = 13.16x + 251.05

First choose two point

The first point = (44, 830)

The second point = (63, 1080)

The slope of the line m = \(\frac{y_2-y_1}{x_2-x_1}\)

Substitute the values in the equation

The  slope of the line = (1080-830) / (63 - 44)

= 250 / 19

Consider the point (44, 830)

The point slope form is

\(y-y_1=m(x-x_1)\)

Where m is the slope of the line

y - 830 = 250/19(x - 44)

y - 830 = (250/19)x - 11000/19

y = (250/19)x - 11000/19 + 830

y = 250/19 x + 4770/19

y = 13.16x + 251.05

Hence, the equation of the  given model is y = 13.16x + 251.05

The complete question is

The table shows the fat content and calories for the burgers at a fast food chain.

Fat (g) 25 44 63 32 37 20 11 52

Calories 590 830 1080 680 750 420 310 820

Write the best fit line that models the impact of fat content on calories. Explain how you got your answer.

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Answer:

the option C

Step-by-step explanation:

have a great day

The value of the dependent variable a is always one-half the value of the independent variable c.

A variable that is dependent will always change when the independent variable changes.

On the other hand, the variable that brings changes to the dependent variable and is called the independent variable.

Given that the relation between the number of children, c and the number of adults, a, is represented by the table, we can see that:

k = a/e = 1/2 = 3/6 = 5/10 = 7/14 = 9/18 = 1/2.

Thus, the equation of the relationship can be modelled as a = 1/2(c).

This therefore means that, a is always one-half of the value of c.

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0.833333... as a common fraction is 5/6

Let x= 0.833...

then 10x = 8.333...

so, 10x -x = 8.333..-0.833..

9x= 7.5

multiplying both sides by 0

90x= 75

x=75/90

x=5/6

Therefore, 0.833333... as a common fraction is 5/6

Decimal is a system of numbers in mathematics used to denote arithmetic based on the tenth part or powers of ten. It is denoted by a point".". It is also used for a fraction whose denominator is a power of ten and whose numerator is expressed in numbers beside the decimal point of 10. It is also used to denote improper fractions in numerical. E.g- 2/10=0.2

Fractions in mathematics are a part of whole. There are four types of fractions: proper, improper, simple, and complex. It has two parts Numerator and denominator.

Complete question- How do you convert 0.83 (3 repeating) to a fraction?

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The solution to the given system of linear equations 2x + 3y = 1 and 7x + 2y = -22 by elimination is (-4, 3). That is, x = -4 and y = 3.

From the question, we are to solve the given system of linear equation by the elimination method.

To solve the system of equations 2x + 3y = 1 and 7x + 2y = -22 by elimination, we can multiply the first equation by 2 and the second equation by -3 to eliminate the x variable:

(2)(2x + 3y = 1)           ⇒ 4x + 6y = 2

(-3)(7x + 2y = -22)     ⇒ -21x - 6y = 66

Adding the two resulting equations gives:

-17x = 68

Dividing both sides by -17 gives:

x = -4

Now we can substitute this value of x into one of the original equations to solve for y. Let's use the first equation:

2x + 3y = 1

2(-4) + 3y = 1

-8 + 3y = 1

3y = 9

y = 3

Hence, the solution is x = -4 and y = 3

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Answer:7

Step-by-step explanation:

Answer:

x = -5 & y = -3

Step-by-step explanation:

2x - 5y = 5          --------------------------(I)

y = x + 2               -----------------------(II)

Using substitution method

Substitute y = x + 2 in equation (I)

            2x - 5(x + 2) = 5            

      2x - 5*x + (-5)*2 = 5

            2x - 5x - 10  = 5        

Combine like terms

                -3x - 10 = 5               {Add 10 to both sides}

                        -3x = 5 +10

                        -3x = 15                 {Divide both sides by (-3)}

                           x = 15/(-3)

x = -5

Substitute the x = (-5)  in equation (II)

y = -5 + 2

y = -3

Answer:

x = 12

Step-by-step explanation:

Simplifying

9 + 2x = 33

Solving

9 + 2x = 33

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9' to each side of the equation.

9 + -9 + 2x = 33 + -9

Combine like terms: 9 + -9 = 0

0 + 2x = 33 + -9

2x = 33 + -9

Combine like terms: 33 + -9 = 24

2x = 24

Divide each side by '2'.

x = 12

Simplifying

x = 12

Answer:

Because the P-value of 0.0733 > , Lucy should fail to reject H0. There is not convincing evidence that the proportion of customers who will ask for a straw is less than 50%.

If event A occurs, it does not necessarily mean that its complement will also occur. The occurrence of one event has no effect on the occurrence of its complement.

If two events are complementary, then we know that the sum of their probabilities is equal to 1.Regarding the rules of probability, the statement "If event A occurs, then its complement will also occur" is incorrect. Two events are said to be complementary if they are mutually exclusive and together they make up the entire sample space. This means that the probability of either event occurring is equal to the sum of their probabilities, which is equal to 1. So, if the probability of event A occurring is p(A), then the probability of its complement, denoted by A', occurring is 1 - p(A).

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The value of the given monomial, -8\(m^{4}n^{4}\), when m = 0.5 and n = 2 is -8.

According to the question,

We have the following monomial:

-8\(m^{4} n^{4}\)

We have m = 0.5 and n = 2.

Now, putting these values of m and n in the monomial:

-8 \((0.5)^{4} (2)^{4}\)

(Please note that when a power is there on a number then it means that to solve the expression we have to multiply the base as many times as the given power. For example, in this case, we will multiply 2 four times and the result will be 16. This concept is applicable to every expression we are solving whether the base is in decimal or in fraction or a integer.)

-8*0.0625*16

-128*0.0625

-8

Hence, the value of the given monomial is -8.

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According to the statement the correct answer is option C - yes, the data are distributed evenly around the line of fit.

To determine if a model is a good fit for a data set, one needs to evaluate how closely the data points align with the line of fit. The line of fit represents the best possible straight line that can be drawn through the data points. If the data points are too far from the line of fit or too close to the line of fit, then it is an indication that the model is not a good fit for the data.
Option A states that the data points are too far from the line of fit, indicating that the model is not a good fit for the data. Option B states that the data points are too close to the line of fit, which is not necessarily a good or bad thing as it depends on the level of accuracy required for the analysis. Option C states that the data points are evenly distributed around the line of fit, which indicates that the model is a good fit for the data. Lastly, option D states that the line of fit touches at least one point in the data set, which is not sufficient to determine if the model is a good fit for the entire data set.
Therefore, the correct answer is option C - yes, the data are distributed evenly around the line of fit.

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The volume of the prism to the nearest tenth is; 274.5

A solid having a triangular base is what we call a triangular prism. For every prism, its volume is always equal to the area of its base times its height. In other words:

Volume = Base area * height

Using Pythagoras theorem, we can find the other leg of the base. Thus;

x/4 = tan 65

x = 4 * tan 65

x = 8.578

Thus;

Volume of prism = (4 * 8.578) * 8

= 274.5

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The composite function g(h(8)) when evaluated is 94.

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

g(a) = 4a - 2

h(a) = 3a

To find g(h(8)), we need to first evaluate h(8), and then plug that result into g(a) and simplify.

h(a) is defined as 3a, so h(8) = 3(8) = 24.

Now we can plug in 24 for a in g(a) and simplify:

g(a) = 4a - 2

g(h(8)) = g(24) = 4(24) - 2 = 94

Therefore, g(h(8)) = 94.

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Answer:

The answer for the first one is 6,9 and the second one is 5

Step-by-step explanation:

hope this helped !! :)

Answer:

i dont know

Step-by-step explanation:

Maybe try looking up 20/12 and then apply that to the other problems

Step-by-step explanation:

Hey there!

Given;

The triangle is a right angled triangle, whose one side is 26 and another side is X. It has also one angle that is 41°.

Now, taking reference angle as angle 41°. We get;

Perpendicular= 26

Base = X

and Reference angle = 41°.

We know that the ratio of tan is p/b. So, let's use this ratio.

\( \tan(41°) = \frac{26}{x} \)

\(0.869 \times x = 26\)

\(x = \frac{26}{0.869} \)

Therefore, The value of x is 29.90.

Hope it helps...

Answer:

Domain

Step-by-step explanation: