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.

The yield on a corporate bond with a face value of $1000 after removal of discount would be =$60.

Interest rate can be defined as the payment received by an individual after investing a particular amount of money for a given period of time.

The principal amount after removal of $950 discount = $1000

The rate of interest (R) = 6%

The time of investment (T) = 1

Then the simple interest;

= P × T × R/100

= 1000 × 1 × 6/100

= 6000/100 = $60

Therefore, the yield of the corporate bond would be extra $60.

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The magnitude of b from the coordinate plane is 3 units. Therefore, option A is the correct answer.

We need to find the magnitude of b.

In mathematics, the magnitude or size of a mathematical object is a property which determines whether the object is larger or smaller than other objects of the same kind.

If the number is negative, the magnitude becomes the absolute value of the number.

Now, magnitude of b is |-3|=3

The magnitude of b from the coordinate plane is 3 units. Therefore, option A is the correct answer.

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Because a 270° rotation around the origin and a subsequent reflection over the x-axis translate ABC onto LMN, the figures are congruent.

Two figures are said to be "congruent" if they can be positioned perfectly over one another. Both of the bread slices are the same size and shape when stacked one on top of the other. Congruent refers to things that are exactly the same size and form. Congruent refers to something that is "absolutely equal" in terms of size and form. The shapes hold true regardless of how we rotate, flip, or turn them. Draw two circles with the same radius, for instance, cut them out, then stack them on top of one another. In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

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The direct distance from home plate to the second base is 127.27  feet .

In the question ,

it is given that

the shape of base ball diamond = square ,

distance of one side =  90 feet ,

so , the distance of other side will be = 90 feet , because it is a square ,

the distance from home plate to the second base is represented by the diagonal ,

2 sides with length 90 feet and one diagonal forms a right angled triangle.

let the distance from home plate to the second base be " x" .

So , By Pythagoras Theorem ,

90² + 90² = x²

x² = 8100 + 8100

x² = 16200

x = √16200

x = 127.27

Therefore , The direct distance from home plate to the second base is 127.27  feet .

The given question is incomplete , the complete question is

A baseball diamond is in the shape of a square, 90 feet on a side. What is the direct distance from home plate to second base ?

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Answer:

Geometric and the ratio is 1/3

It is geometric because you are multiplying to get to the next number in the sequence. in order to get to the next number you have to multiply by 1/3. 36*1/3=12. 12*1/3=4.

Jim needs a score of 115 on his third test to keep an average of 89 or greater.

A mean represents the average value among a set of values.

Mean = (sum of all values)/(total number of values)

In other words, mean is the value assigned to each member of set after fair distribution. It means that if a set of n values has a mean of x, we can assume the set to be 'x' value recurring n times over the sample.

In this case, we have 3 test results: 83, 69 & x, where x is the unknown result of 3rd test. Our required minimum average/mean is 89.

Substituting these in our formula for mean, we get:

[tex]89=\frac{83+69+x}{3} \\89*3=152+x\\x=267-152=115[/tex]

Thus, 115 is our required test result for maintaining average of minimum 89.

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The population after 50 years will be 26,765,774.

Percentage is a measurement to find value of given number out of hundred.

Given that,

The current population of Canada=35,687,699.

As per given condition the population is decreasing 0.5% per year,

So after 50 year the population will decrease =50×0.5%=25%

After 50 year the 25% population will decrease, and 75% will remain.

The remaining population = 35,687,699×75/100=26,765,774.

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For the function F(x, y) = x³ + y³ - 3x² - 6y² - 9x ,  the local maximum value is 5 and the local minimum value is -3. The graph is discontinuous, so we cannot locate the saddle points.

In mathematics, a saddle point or minimax point is a point on the surface of the graph of a function where the slopes (derivatives) in orthogonal directions are all zero (a critical point), but which is not a local extremum of the function.

We have the following function -

F(x, y) = x³ + y³ - 3x² - 6y² - 9x

We will plot the 3 dimensional graph of this function. From the model it can be seen that, the local maximum value is 5 and the local minimum value is -3. Since the graph is discontinuous, we cannot locate the saddle points.

Therefore, for the function F(x, y) = x³ + y³ - 3x² - 6y² - 9x ,  the local maximum value is 5 and the local minimum value is -3. The graph is discontinuous, so we cannot locate the saddle points.

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Answer: 90%

Step-by-step explanation: 36 divided by 40 = 0.9 x 100 = 90

[tex]\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ S = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\[-0.5em] \hrulefill\\ n=4 \end{cases}\implies S=180(4-2)\implies S=360 \\\\[-0.35em] ~\dotfill\\\\ 90+90+x+(x-50)~~ = ~~360\implies 2x+130=360\implies 2x=230 \\\\\\ x=\cfrac{230}{2}\implies x=115\hspace{12em}\stackrel{x}{115^o}\qquad \stackrel{x-50}{65^o}[/tex]

Answer:

0.8x – 12

Step-by-step explanation:

The sale price is (x-15). After the 20% discount, the final price is 0.80 times the sale price is final price = 0.80×(x -15) = 0.80x -12

UR WELCOME

The radius of the roundabout whose circumference is given is: 55 feet.

What is circumference?

The perimeter of a circle or ellipse is known as its circumference in geometry (from the Latin circumferens, meaning "carrying around"). That is, if the circle were opened up and straightened out to a line segment, the circumference would be the length of the arc.

As given in the question ,  

The circumference of the roundabout is 345.4 feet.

and we need to find the radius,

We know that, the circumference is calculated by:

Circumference = 2 π r

So, putting value of circumference,

345.4 = 2 (3.14) r

r = 345.4/6.28

r = 55 feet

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A water park water ride would pump 4,00,000 gallon of water in 100 minutes.

In this question, we have been given a water park water ride pump 8000 gallon of water every 2 minute.

So, the amount of water pumped in 1 minute would be,

8000/2 = 4000 gallon

We need to find the amount of water the ride would pump in 100 minute.

By unitary method the required amount would be,

A = 4000 * 100

A = 4,00,000 gallon

Therefore, the ride would pump 4,00,000 gallon of water.

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Answer:

your teacher should help you

Step-by-step explanation:

becuase it sayi Mrs.lewis

Lines 5(x+3) and y=5x+1 both are parallel.

What are parallel lines?

Parallel lines in geometry are coplanar, straight lines that don't cross at any point. In the same three-dimensional space, parallel planes are any planes that never cross. Curves with a predetermined minimum distance between them and no contact or intersection are said to be parallel.

Here, we have

Given equations = 5(x+3) and y=5x+1

Now we write both equations in standard form and we get

y = 5x + 3,

y = 5x + 1

Then, we compare the slopes of both equations and we get

Slope = 5

Hence, the slope of both equations is the same. so, the given lines are parallel.

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A symmetrical likeness between two halves of an item, when one half is the mirror image of the other, is characterized as being proportional and balanced. As an illustration, many forms such as square, rectangle, and circle are symmetric along their respective lines of symmetry.

A symmetrical likeness between two halves of an item, when one half is the mirror image of the other, is characterized as being proportional and balanced. As an illustration, many forms such as square, rectangle, and circle are symmetric along their respective lines of symmetry. Translational, rotational, and reflectional symmetry are the three different forms of symmetry. Symmetrical pictures may be seen in a variety of objects, including leaves, fruits, animals, insects, spiderwebs, flowers, and a great deal more. As an illustration, many forms such as square, rectangle, and circle are symmetric along their respective lines of symmetry.

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Answer:

- X - 2x = 2x

- X 5y = -5y

(5x - 8y) (2x - 5y)

5x X 2x = 10x^2

5x X -5y = -25xy

-8y X 2x = -16xy

-8y X -5y = 40y^2

therefore

= 10x^2 + 40y^2 -25xy -16xy

Answer:

the area=16

Step-by-step explanation:

by ur calculations lol

The t-score of 2.779 is used to find the 99% confidence interval for the population mean.

Given,

Assume that orangutans' heights, measured in inches, are regularly distributed with an unidentified mean and standard deviation. The population means are calculated using the orangutan heights of 27 orangutans that were randomly selected.

What t-score should be applied to determine the population mean's 99% confidence interval?

n = 27

confidence level = 0.99

We have to find a critical value for the confidence level of 0.99.

To find the critical value we need degrees of freedom and significance level.

df = n-1 = 27 - 1 = 26

α = 1 - 0.99 = 0.01

α/2 = 0.01/2 = 0.005

For α/2 = 0.005 and df = 26, the critical value using the above table is,

t-critical value = 2.779

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Answer:a

Step-by-step explanation:slope=4  y-int=-9

Answer:

A: Slope is 4

    Y intercept (0,-9)

Step-by-step explanation:

slope intercept form is y=Mx+b

m= slope

b= y intercept

y=4x-9

here the m or slope is 4

And b or y intercept is -9

So a is the correct answer

Hopes this helps please mark brainliest

AS per the concept of trigonometric ratios for theta, the value of cos θ = 2√6/5 , tan θ = -1/2√6 , cosec θ = -5, sec θ = 5/2√6 and the value of cot θ = -2√6.

Trigonometric ratio:

In math, there are six trigonometric ratios they are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

Given,

The angle theta is in standard position with a terminal arm in quadrant IV. If sin θ =-1/5.

Now, we have to find the remaining five trigonometric ratio of the θ.

As we know that,

sin²θ + cos²θ =  1

Here we know that value of sin θ = -1/5, then the value of cos θ is calculated as,

=> (-1/5)² + cos² θ = 1

=> 1/25 + cos² θ = 1

=> cos² θ = 1 - 1/25

=> cosθ = √24/25

=> cos θ = 2√6/5

So, the value of tan θ = -1/2√6

Then the value of cosec θ = -5, sec θ = 5/2√6 and the value of cot θ = -2√6.

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Answer:

$96 dollars in one year. 12 months in a year. and you get $96 in one year.

Step-by-step explanation:

I did it already in class.

Answer:

7 burgers

Step-by-step explanation:

1.96 #  /  .28 # / burger = 7 burgers

For part A, first of all, you need to multiply both sides by 2.

4x - 1 = 2x + 14

Then, you need to add 2 to both sides.

4x = 2x + 15

Now, you need to subtract 2x from both sides.

2x = 15

Finally, you need to divide both sides by 2.

x = 7.5

So the answer to part A is 7.5

Now for part B.

First of all, you need to multiply both sides by 3.

9x + 6 = 2x + 13

Next, you need to subtract 6 from both sides.

9x = 2x + 7

Now, you need to subtract 2x from both sides.

7x = 7

Finally, you need to divide both sides by 7.

x = 1

So the answer to part B is 1

Nicoletta can withdraw $55 from her savings account for 24 weeks until the balance reaches $0 .

Nicoletta sells jewelry during summer vacation .

From the table we can gather the following information:

Expenses = $ 26

Revenue = $132

Profit = $(132-26) = $ 106

Now she sells for 10 weeks.

profit each week  = $ 106

Total profit over 10 weeks = $ 106 × 10 = $ 1060

Money deposited in the account after 10 weeks = $ 1060

Money originally in the account = $260

Total amount of money in savings account

= $ 1060 + $260

= $ 1320

She withdraws 55 each week.

Number of weeks it will sustain at that rate = 1320 / 55 =24

Hence the savings account will have 0 after 24 weeks.

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The table that accurately identifies the three points of the graph is table 1.

A proportional relationships are relationships between two variables where their ratios are equivalent.

The variables are time in hours and earnings.

Therefore,

y = kx

where

A student earns $8.50 per hour working in a library.

Hence,

y = 8.50x

when x = 2

y = 8.50(2) = 17 dollar

when x = 4

y = 8.50(4) = 34 dollar

when x = 8

y = 8.50(8) =  68 dollar

Therefore, the table that reflects the graph is table 1.

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The probability that if we select 4 fish from the tank, at least 2 will be white is 0.7863.

Given,

A fish tank in a pet store has 21 fish in it. 9 are orange and 12 are white. determine the probability that if we select 4 fish from the tank, at least 2 will be white;

The probability that the fish is white = 12/21

                                                      = 4/7

To find the probability that at least two will be white,

P(x ≥ 2) = 1 - P(x < 2) = 1 - ( P(0) + P(1) )

The binomial distribution formula [tex]P(x) = (^n_x)p^xq^n^-^x[/tex] where p is the probability of success and q is the probability of failure.

From the above formula;

P(x ≥ 2) = 1 + [ (3/7)⁴ + 4*(4/7)*(3/7)³ ]

            = 0.7863

Hence, the likelihood that if we select 4 fish from the tank, at least 2 will be white is 0.7863.

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Answer:

$131.40

Step-by-step explanation:

1. First you do 20% of 150 which is 120

2. Second you take the 120 and add the sales tax and calculate it out nad you end up with 131.40

Answer:

12

Step-by-step explanation:

Answer:

8 people

Step-by-step explanation:

we have to find the circumfrence by multiplying diameter by pi

180pi

about 565.48668

so now divide by 70 to see how many guest can fit

565.48668/70

8.0784

so 8 people

hopes this helps please mark brainliest

Given that the diameter of the circular table is 180cm . So it's radius would be 90cm . Firstly let's find the circumference as ,

[tex]\longrightarrow C = 2\pi r\\ [/tex]

[tex]\longrightarrow C = 2(3.14)(90cm) =\boxed{565.2\ cm} [/tex]

Now it is given that each guest needs 70cm along the circumference of the table, and we need to find out the number of guests that can be seated at the table. This can be done by dividing the circumference with the length occupied by each guest along the table as ,

[tex]\longrightarrow n_{guests}=\dfrac{565.2\ cm}{70cm}\\ [/tex]

[tex]\longrightarrow n_{guests}= 8.07 \approx \boxed{8} [/tex]

And we are done!