A random sample of students was surveyed on what they eat for lunch at school. The results are shown in the table
below.
Lunch Item
Number of Students
Pizza
52
Salad
26
Burger
30
Chicken Sandwich
48
Brought lunch from home
44
If the school has 1,000 students, about how many students can the cafeteria expect to buy pizza?
208
1,000
260
52

Answer:

Angles 1 & 2 = supplementary

Angles 1 & 3 = supplementary

Angles 1 & 4 = congruent

Angles 1 & 5 = congruent

Angles 1 & 6 = supplementary

Angles 1 & 7 = supplementary

Angles 1 & 8 = congruent

Answer:

C

Step-by-step explanation:

Answer:

With what?

Step-by-step explanation:

Answer:

3 + 8 times 3 +27 times 3 + 64 times 3+ 125 times 3  + 216 times 3+ 343 times 3

2352 cubic units^3

Step-by-step explanation:

(a) Extend the definition of f(x) to make it an even function f*(x),

[tex]f^*(x)=\begin{cases}0&\text{if }-2\le x<-1\\1&\text{if }0\le x\le1\\0&\text{if }1<x\le2\end{cases}[/tex]

and we take f* to be periodic over an interval of length P = 4. We compute the coefficients of the cosine series:

[tex]a_n = \displaystyle\frac2P \int_{-2}^2 f^*(x)\cos\left(\frac{2n\pi}Px\right)\,\mathrm dx = \frac{2\sin\left(\frac{n\pi}2\right)}{n\pi}[/tex]

Note that a₀ = 1 (you can compute the integral again without the cosine, or just take the limit as n -> 0). For all other even integers n, the numerator vanishes, so we split off the odd case for n = 2k - 1 :

[tex]a_{2k-1} = \dfrac{2\sin\left(\frac{(2k-1)\pi}2\right)}{(2k-1)\pi}[/tex]

Then the cosine series of f(x) is

[tex]\displaystyle \frac{a_0}2 + \sum_{k=1}^\infty a_{2k-1}\cos\left(\frac{(2k-1)\pi}2x\right)[/tex]

(b) For the sine series, you instead extend f(x) to an odd function f*(x),

[tex]f^*(x)=\begin{cases}-1&\text{if }-2\le x\le-1\\x&\text{if }-1<x<1\\1&\text{if }1\le x\le2\end{cases}[/tex]

Again, P = 4, and the coefficient of the sine series are given by

[tex]b_n = \displaystyle\frac2P\int_{-2}^2f^*(x)\sin\left(\frac{2n\pi}Px\right)\,\mathrm dx[/tex]

which we can again split into the even/odd cases,

[tex]b_{2k} = -\dfrac1{k\pi}[/tex]

[tex]b_{2k-1} = \dfrac{4(-1)^{k+1}+2(2k-1)\pi}{(2k-1)^2\pi^2}[/tex]

So the sine series is

[tex]\displaystyle \sum_{k=1}^\infty\left(b_{2k}\sin\left(k\pi x\right) + b_{2k-1}\sin\left(\frac{(2k-1)\pi}2x\right)\right)[/tex]

I've attached plots of the extended versions of f(x) along with the corresponding series up to degree 4.

Answer:

180 mm³

Step-by-step explanation:

The polyhedron is an oblique rectangular prism

Area of the oblique rectangular prism = base area * height

height = z = 4 mm

Base area = L*W

L = y = 9 mm

W = x = 5 mm

Base area = 9*5 = 45 mm²

Area of the oblique rectangular prism = 45*4 = 180 mm³

Answer:

80,000

Step-by-step explanation:

because you are just adding a extra zero

Answer:

graph the curve that models the expression is the first on, I don’t know the rest

Step-by-step explanation:

Either the US has the highest density and Denmark has the lowest or the other way around.

Id say its that the u.s. has the highest denmark has the lowest

Answer:

Either the US has the highest density and Denmark has the lowest or the other way around.

Id say its that the u.s. has the highest denmark has the lowest

Step-by-step explanation:

Answer:

A) Replace L with the length of the skid mark:

Speed = √(20(208))

Speed= √(4160)

Speed = 64.5 miles per hour

B) set the equation to the speed and solve for L:

47 = sqrt(20L)

Square both sides:

2209 = 20L

Divide both sides by 20:

L = 110.5 feet

Answer:

Step-by-step explanation:

3=7k

Meaning k = 3/7

7=m/2

Meaning m = 7*2 = 14

Therefore mk = 3/7*14 = 6

The product of m and k i.e. mk is 6.

Algebraic terms usually consist of two or more variables with their arithmetic operations.

From the parameters given:

3 = 7k     ---- (1)

7 = m/2   ---- (2)

From equation (1), let's make (k) the subject, we have:

k = 3/7

From  equation (2), let's make (m) the subject, we have:

m = 7 × 2

m = 14

The product of m and k which is mk will now be:

= 14 × 3/7

= 2 × 3

= 6

Learn more about algebraic terms here:

https://brainly.com/question/1451099

Answer: 13.8

Step-by-step explanation: (3.14)(4.4) round to the nearest tenth

Answer:

Amount of interest in 30 year = $2,250

Account balance after 30 year = $7,250

Step-by-step explanation:

Given:

Amount deposit P = $5,000

Simple interest rate = 1.5% = 0.015

Find:

Amount of interest in 30 year

Account balance after 30 year

Computation:

Interest = PRT

Amount of interest in 30 year = (5,000)(0.015)(30)

Amount of interest in 30 year = $2,250

Account balance after 30 year = P + I

Account balance after 30 year = $5,000 + $2,250

Account balance after 30 year = $7,250

The original length of AB is 7.62. If we dilate it with the scale factor 2, the length will be 15.23.

The slope of the line remains the same even if we dilate it, so it will remain 0.43.

(y2-y1/x2-x1)

Explanation: The answers are taken from by solving on the graph

Answer:

The second one where line go through more points

Step-by-step explanation:

Answer:

434

Step-by-step explanation:

hello :

note :    the n th term of an arithmetic sequence is :

An =A1+(n-1)d   ....a common difference is : d  and A1 the first term

in this exercice :   d = 33-29 =29-25= 4        A1 =  25

when : n =97 you have the  97rd term  A97

so : A97 =25 +(97-1)(4)

A97 = 434

Answer:

150

Step-by-step explanation:

Area of A:

A = bh

A = 10(10)

A = 100

Area of B:

A = 1/2bh

A = 1/2(10)(10)

A = 5(10)

A = 50

Combined:

100 + 50

150

Answer:

150

Step-by-step explanation:

My math genius friend told meh the answer bc I'm not smart at math.

Answer:

B. 45

Step-by-step explanation:

we know the sum of both angles is 90 because of the small sqaure in the corner.

90 = 2x+20

70 = 2x

45 = x

Answer:

35

Step-by-step explanation:

Because of the box in the graph, you can tell that this is a 90-degree angle

2x means the next angle will be twice of the answer choice number

because the end product must be 70 the answer must be 35

35 x 2 = 70

Answer:

Ewan di ko alam e sorry I didn't understand e

Answer: 55,000,000

this might not be right but hear

Answer:

Washing Powder

Step-by-step explanation:

Cost less and cleans better.

Answer:

The washing powder I think?

Step-by-step explanation:

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<33<3<3<3

Answer:

C. x=-2 and x=7

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<33<3<3<3

Answer:

either one will work.  

you can either multiply length times width or you can add all the sides together.

Step-by-step explanation:

hope this helps

have a good day

Answer:

mulitpy

Step-by-step explanation:

area= L x W

(Length x Width = Area)

Answer:

the probability of winning & not winning the contest is 2 ÷ 9 and 7 ÷ 9 respectively

Step-by-step explanation:

The computation is shown below

a. The probability of Frank win the contest is

= 2 ÷ 2 + 7

= 2 ÷ 9

b. The probability of Frank that not win the contest is  

= 1  - 2 ÷ 9

= 7 ÷ 9

hence, the probability of winning & not winning the contest is 2 ÷ 9 and 7 ÷ 9 respectively

The same would be relevant

Answer:

The answer is 297

Answer:

Graph B

Step-by-step explanation:

Let take a look of original graph, cos(x)

The amplitude of that graph is 1.

The ampictude of both graphs is 2 so that means the amplitude transformation, 2 has been applied.

We need to find the x intercept.

[tex] \cos(0 ) = 1[/tex]

so

[tex]2 \cos(3(0)) = 2[/tex]

The graph should intersecting at point

0,2 so the answer is

Graph B

Answer:

B on edge

Step-by-step explanation:

Answer:

y=4/3x-1/3

Step-by-step explanation: