refer to the tabe summarizing service times of dinners at a fast food restaurant. how many individuals are included in the summary

Answer:

8

Step-by-step explanation

we must find the total of the students to do that we look at when she grouped them in 7, 4 are left out so we multiple 4 miltiplied by 7 and we get 28, there are 4 left out so we add them. now we have a total of 32 students. 32 divided by 4 is 8

Answer:

6

Step-by-step explanation:

because 3 pieces

divided by 2 because there half pieces.

Sgr A has a diameter of about 27.3 million miles; that's roughly the same distance from Mercury to The Sun.

Distance is a measurement of how far apart two objects or points are, either numerically or rarely qualitatively. Distance can relate to a physical length in physics or to an estimate based on other factors in everyday language (e.g. "two counties over"). The term is frequently used metaphorically to refer to a measurement of the difference between two similar objects (such as statistical distance between probability distributions or edit distance between strings of text) or a degree of separation, as spatial cognition is a rich source of conceptual metaphors in human thought (as exemplified by distance between people in a social network). The concept of a metric space is used in mathematics to formalize the majority of these ideas of distance, both literal and figurative.

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Answer:

Part A: 30f + 4p = 1040; 8f = 256

Step-by-step explanation:

Answer:

what

Step-by-step explanation:

Answer:

To point out an internal citation to the reader

Step-by-step explanation:

A signal phrase is a phrase, clause, or even sentence which leads into a quotation or statistic. These generally include the speaker/author's name and some justification for using him or her as an expert in this context; it may also help establish the context for the quotation...

Answer:

a + 7

Step-by-step explanation:

x^2 + 2x - 8. on [5,a]

(f(a)-f(5))/( a - 5 )

(( a^2 + 2a - 8 ) - 27 ) / a - 5

( a^2 + 2a - 35 ) / a - 5

(a - 5)(a + 7) / a - 5

a + 7

Answer:

6 pens for 36$ then 2 pencils for 2$ equal 38$

Step-by-step explanation:

Answer: -3 and 12

Step-by-step explanation: -3+12=9 and -3(12)=-36

The maximum volume of the cylinder is 27147.355 cm² at the maximum point.

What is volume of cylinder?

The density of a cylinder is determined by its volume, which represents how much material may be immersed in it or carried inside of it. The formula r2h, where r is the radius of the circular base and h is the height of the cylinder, determines the volume of a cylinder. The substance could be a liquid amount or something else that can be evenly put into the cylinder.

The formula for the volume of the cylinder v = \(\pi r^2\)h,

To find the maximum volume of the cylinder we apply the condition of maxima \(\frac{dv}{dr}\)  = 0.

Let r cm be the radius and h cm be the height of the closed cylinder.

Then, Total surface area of the cylinder = \(2\pi r(r+h)\)

                                                   5000      = \(2\pi r^{2} +2\pi rh\)

                                                    h     =    \(\frac{5000-2\pi r^{2} }{2\pi rh}\)............(1)

Volume of the cylinder v = \(\pi r^2h\)

Substitute the value of h  in the above equation

                                      = \(\pi r^2\) × \(\frac{5000-2\pi r^{2} }{2\pi rh}\\\)

                                      = \(\frac{r}{2}\) ×  \(5000-2\pi r^2\)

                                   v = \(2500r-\pi x^{3}\) ..............(2)

Now, for the maximum volume of the cylinder   dv/dr= 0

                                                      \(\frac{d(2500r-\pi x^{3})}{dr}\)         =0

                                                            \(3\pi r^{2} =2500\)

                                                               \(r^{2} =\frac{2500}{3\pi }\)

                                                              r=\(\frac{50}{\sqrt{3\pi } }\)

                                                           r= 27147.355

Hence, The maximum volume of the cylinder is 27147.355 at the maximum point r= \(\frac{50}{\sqrt{3\pi } }\).

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Answer:

D does not represent a function--the x-value of 4 corresponds to two y-values.

Answer:

Step-by-step explanation:

The scale factor is the ratio between the man's actual height and the height of the drawing.

Scale = 64/4 = 16

Answer:

1/16

Step-by-step explanation:

the actual man is 16 times bigger than drawing.

When the graph is decreasing, the rectangles give an underestimate and when the graph is increasing, they give an overestimate. These trends are accentuated to a greater extent by areas of the graph that are steeper.

We only need to add up the areas of all the rectangles to determine the area beneath the graph of f. It is known as a Riemann sum. The area underneath the graph of f is only roughly represented by the Riemann sum. The subinterval width x=(ba)/n decreases as the number of subintervals n increases, improving the approximation. Increased sections result in an underestimation while decreasing sections result in an overestimation. We now arrive at the middle rule. The height of the rectangle is equal to the height of its right edges for a right Riemann sum and its left edges for a left Riemann sum. The rectangle height is the height of the top edge's midpoint according to the midpoint rule, a third form of the Riemann sum.

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Answer:

The height of first tree is

[ 5.5+18tan(50 degrees) ] ft. This is approximately 26.95 ft.

Angle of elevation from Jimmy's eyes to top of tree is arctan([20+18tan(50 degrees)] /18). This is approximately 66.53 degrees.

Step-by-step explanation:

It would help you to draw a picture for both of these.

You have a person whose height is 5.5 ft and from there horizontal gaze they see a bird from a 50 degree angle of elevation. He is standing 18ft ftom the tree.

So we will first want to find the distance from his eyesight level to the top of the tree. We can do this using the tangent ratio since we have the opposite and adjacent measurements.

Let the distance from eyesight level to the top of the tree be r.

tan(50)=r/18

Multiply both sides by 18:

18tan(50)=r

Now the height of the tree is

[5.5+18tan(50 degrees)] ft.

Now if he is the middle of two trees, then he 18 ft from the 2nd tree.

Since he says the height is 20ft taller than the first tree then it's height is

[20+5.5+18tan(50 degrees)] ft.

Now since we want to find his angle of elevation to the top of the 2nd tree we need to take out his height given us the distance from his eyesight level to the top of the tree which is

[20+18tan(50 degrees)] ft..

So again we are using the tangent ratio.

Let this angle if elevation be P.

tan(P)=[20+18tan(50 degrees)] /18

Take arctan() of both sides:

P=arctan([20+18tan(50 degrees)] /18)

The monthly payment and total cost for the bank loan are $180.55 and $2,166.60, respectively.

To calculate the monthly payments and total cost, we'll assume that the interest is calculated using the simple interest method for the bank loan and the add-on method for the store loan. For the bank loan: Principal amount (cost of sofa, table, and chairs) = $1,980; Interest rate = 13% per year; Repayment period = 1 year (12 months). Monthly interest rate = 13% / 12 = 1.0833%; Number of months = 12. Using the formula for calculating monthly payments on a simple interest loan: Monthly payment = (Principal amount + (Principal amount * Monthly interest rate * Number of months)) / Number of months. Substituting the values into the formula: Monthly payment = (1980 + (1980 * 0.010833 * 12)) / 12; Monthly payment ≈ $180.55; Total cost = Monthly payment * Number of months = $180.55 * 12 = $2,166.60. For the store loan:Principal amount (cost of sofa, table, and chairs) = $1,980; Interest rate = 11% per year; Repayment period = 1 year (12 months). Using the add-on method, the interest is simply added to the principal amount. Interest = Principal amount * Interest rate  = $1,980 * 0.11 = $217.80. Total amount to be repaid = Principal amount + Interest = $1,980 + $217.80 = $2,197.80. Monthly payment = Total amount / Number of months = $2,197.80 / 12 ≈ $183.15.

Therefore, the monthly payment and total cost for the bank loan are $180.55 and $2,166.60, respectively. On the other hand, the monthly payment and total cost for the store loan (using the add-on method) are $183.15 and $2,197.80, respectively. The bank payment and total cost are lower even though the stated interest rate is higher because the bank loan uses the simple interest method, which calculates interest based on the remaining balance after each payment. This results in lower interest charges over time. On the other hand, the add-on method used by the store loan calculates the interest based on the original principal amount, resulting in higher interest charges. Despite the higher stated interest rate, the bank loan's lower interest charges lead to lower monthly payments and a lower total cost compared to the store loan.

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Answer: It is not a real expression there is no answer

Step-by-step explanation:

Answer:

b i think

Step-by-step explanation:

Answer: 7t-22

Step-by-step explanation:

Did this question in my notes lol

Answer:

-1<n<3

Step-by-step explanation:

3n<9

n<3

4n<-4

n<-1

Answer:

n > 3

n < -1

Step-by-step explanation:

Hello!

Solve for n in both scenarios.

The solutions are n > 3, and n < -1.

The Total cost of school supplies at a store where the sales tax is 8% is $58.53 , which a student spent.

We have,

A student spends total school supplies at a store i.e pre-tax value = $54. 20

Sales tax = 8% = 0.08

To calculate the sales tax on an item, we must first convert the pre-tax cost of the item to a decimal and then multiply by the sales tax percentage. Once sales tax is calculated, it must be added to the pre-tax value to determine the total cost of the item.

Sales tax = 0.08 ×$54. 20 = $ 4.33

Total cost = pre-tax value + sales

= $54. 20 + $ 4.33 = $58.53

Hence, the required total cost is $58.53.

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There are 1287 different ways Ms. Bell can create a 5-Member committee of seniors from her class.

Ms. Bell's mathematics class consists of 6 sophomores, 11 juniors, and 13 seniors. The task is to determine the number of different ways Ms. Bell can create a 5-member committee of seniors, with each senior having an equal chance of being selected.

To solve this problem, we can use combinations. The number of ways to select a committee of 5 seniors from a group of 13 can be calculated using the combination formula:

C(n, k) = n! / (k!(n - k)!)

Where n represents the total number of elements (seniors in this case), and k represents the number of elements to be selected (5 in this case). The exclamation mark denotes the factorial of a number.

Using the combination formula, the number of ways to select a 5-member committee from 13 seniors is:

C(13, 5) = 13! / (5!(13 - 5)!) = 13! / (5! * 8!) = (13 * 12 * 11 * 10 * 9) / (5 * 4 * 3 * 2 * 1) = 1287

Therefore, there are 1287 different ways Ms. Bell can create a 5-member committee of seniors from her class.

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We have to solve the right triangle.

We know two of the sides: a = 13.2 and b = 17.7.

This are the two legs, and we have to find c, the hypotenuse and A and B, the two non-right angles.

We can calculate c as:

We can now find the angles using trigonometric ratios.

We can find A as:

We can find B as:

Answer:

A = 36.7°, B = 53.3°, c = 22.1 [Option C]

The definite integral that represents the area of the region enclosed by the polar curve r = 1 sin θ is ∫[a, b] 1/2 r^2 dθ

To determine the definite integral that represents the area of the region, we integrate the expression 1/2 r^2 with respect to θ over the interval [a, b], where a and b are the limits of the region.

In this case, the polar curve r = 1 sin θ represents a circle with radius 1 centered at the origin. As θ varies from 0 to π, the curve traces half of the circle in the positive direction. To find the area of the region enclosed by this curve, we integrate the expression 1/2 r^2 over this interval.

The expression 1/2 r^2 represents the area of a sector of the circle with radius r and central angle θ. Integrating this expression with respect to θ gives us the total area enclosed by the curve.

By evaluating the definite integral over the interval [a, b], we can find the area of the region enclosed by the polar curve r = 1 sin θ.

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Answer:

His friend lives 7.29 miles away

Step-by-step explanation:

All you have to do is times 0.27 by 27 and you get 7.29

Answer: C. 7.29 miles

Step-by-step explanation: 0.27 x 27 = 7.29

Hope this helped!

Mark Brainliest if you want!

Answer:

20/27

Step-by-step explanation:

Answer:

You can't answer this properly without more data.

Answer:

1/15 should be the answer

Step-by-step explanation:

Hope this helps

3 * 10 = 30

30 * 40,000,000 = 1,200,000,000

ONE BILLION TWO HUNDRED MILLION

Multiply 3 times 10 first, then 30 times 40,000,000 and you get 1,200,000,000

Hope this helps ^-^

Answer:

There are 220 ways by which the medals can be awarded to three of the 15 gymnast, if exactly one of the Americans wins a medal

Step-by-step explanation:

From the question, we have;

The number of gymnast in the Olympic women's competition = 15

The number of the gymnast who are Americans = 4

The number of medals awarded = 3 medals

The number of ways hat the medals can be awarded to the three of the gymnast if exactly one of the Americans wins a medal is given as follows;

The number of ways one of the medals can be won by one of the four Americans = ₄C₁ = 4 ways

The number of ways the other two medals can be won by the remaining 11 gymnast = ₁₁C₂ = 55 ways

Therefore, the total number of ways, 'N', the medals can be awarded to three of the 15 gymnast, if exactly one of the Americans wins a medal is given as follows;

N = ₄C₁ × ₁₁C₂

∴ N = 4 × 55 = 220