The point A(-3,7) is reflected over the origin and its image is point B. What are
the coordinates of point B?

The function that best models for the data is y = -200 (x-4)^2 + 800.

A function is a mathematical expression that describes how factors are related. In this case, how the price is related to the profit.

The best way to determine this is to solve the expression and verify if the answer is correct.

For example, we know that at 4 (x) dollars, the daily profit is $800 (y). Let's now the different options:

A.

B.

C.

D.

This means B and D are possible options, however, when verified with other results such as $6 the correct one is option D.

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The quadratic equation is given by y = -200x² + 1600x - 2400.

The standard form of the quadratic equation is:

y = ax² + bx + c

Where a,b,c are constants.

Let y represent the daily profit for x bread price.

At point (2, 0):

0 = a(2)² + b(2) + c

4a + 2b + c = 0    (1)

At point (4, 800):

800 = a(4)² + b(4) + c

16a + 4b + c = 800    (2)

At point (6, 0):

0 = a(6)² + b(6) + c

36a + 6b + c = 0    (3)

From all the equations:

a = -200, b = 1600, c = -2400

The quadratic equation is given by y = -200x² + 1600x - 2400.

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Answer:

The first answer one is true

Answer:

524,288

Step-by-step explanation:

Hope this helps!

Answer:

I think u add those numbers up because it's saying figure out the volume below. it must be adding.

Step-by-step explanation:

so just separate the shape into 2 . then you will have one cube 8×8×8 and a rectangle 9×4×8 find the volume of both and then add them together

Answer:

-8.45, 0.95, 8.25

Step-by-step explanation:

The easiest way to do this is to convert the fraction to a decimal, and then compare the values.

8 8/32 is equal to 8 and 1/4. Because 1/4 = 0.25, 8 and 8/32 equals 8.25.

Now, let's compare values.

Numbers we need to compare: -8.45, 0.95, 8.25

The smallest number is -8.45, then 0.95, and lastly, 8.25.

Thus the answer is

-8.45, 0.95, 8.25

Answer:

3x² - 7

Step-by-step explanation:

3 times (number squared) and sum with (-7)

3 times x² and add (-7)

3x²  + (-7)

3x²  -  7

Answer:

reduced traffic on the road

Step-by-step explanation:

just took the test :)

Answer: C) Reduced traffic on the road

Step-by-step explanation: Ive taken this test

Answer:

33x2=66

66+3=69

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

PEMDAS their are no parenthesis no exponents but their is multiplication 33 times 2 is 66 their is addition 66 plus 3 is 69

Answer:

13

Step-by-step explanation:

plug in the numbers

-2(-3) + 7 = ?

6 + 7 = ?

13

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

Answer:[tex]x=15[/tex]

Step-by-step explanation:

Angles that are opposite from each other are going to be the same in this case.

Let's plug in 15 into x

[tex]4(15)+8\\60+8\\68[/tex]

Answer:

8

Step-by-step explanation:

We know that ABD is 30 degrees. To find BC, we need to use sin.

Equation:

BC = 16*sin(30 degrees) I recommend using a calculator to find the sine if you don't know what it means and how to use it. Sine is basically the side length opposite of the angle over the hypotenuse of the right triangle.

BC = 16*0.5

BC = 8

Sorry, I couldn't find an image.

Hope this helps!

Answer:

Answer in attachment photo

Answer:

64inches.

Step-by-step explanation:

Let x represent the length of entire rope.

Division Equation:

\frac{x}{4}  = 16

\frac{x}{4} X 4 =16x4 (Multiply each side by 4)

x=64

Answer:

1024 sq inches

Step-by-step explanation:

Surface area is the area of all added together.

So: 2(24 * 10 + 10 * 8 + 24 * 8)

2(240 + 80 + 192)

Answer: 1024

Answer:

We expect 17.82, that is, approximately 18 people to be universal donors.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are universal donors, or they are not. The probability of a person being an universal donor is independent of any other person. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Only about 6.6% of the American population has O-negative blood.

This means that [tex]p = 0.066[/tex]

If 270 unrelated people give blood in a certain week, how many of these people do we expect to be universal donors?

This is E(X) when [tex]n = 270[/tex]. So

[tex]E(X) = np = 270*0.066 = 17.82[/tex]

We expect 17.82, that is, approximately 18 people to be universal donors.

Answer:

Step-by-step explanation:

Given scores:

Mean of the scores:

Absolute deviations:

Sum of absolute deviations:

Mean absolute deviation:

total no of game (n)=5

score =15, 25, 10, 2, and 8 points

mean= sum of score/no.of game

=(15+25+10+2+8)/5=60/5=12

absolute deviation of

15=\15-12\=3

25=\25-12\=13

10=\10-12\=2

2=\2-12\=10

8=\8-12\=4

mean absolute deviation=

(3+13+2+10+4)/5=3.6

is the mean absolute deviation of the points she scored during the last five games.

Answer:

yes, 29 is a monomial

Step-by-step explanation:

Answer:

180 sq.cm

Step-by-step explanation:

A = 10 x 10 + 16 x 5 x 1/2 x 2

A = 100 + 16 x 5

A = 100 + 80

A = 180 square cm

Hope that helps!

Answer:

[tex]\displaystyle A = \frac{20\sqrt{15}}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

Area - Integrals

U-Substitution

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                       [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Integration Rule [Fundamental Theorem of Calculus 1]:                                     [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Area of a Region Formula:                                                                                     [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

F: y = √(15 - x)

G: y = √(15 - 3x)

H: y = 0

Step 2: Find Bounds of Integration

Solve each equation for the x-value for our bounds of integration.

F

G

This tells us that our bounds of integration for function F is from 0 to 15 and our bounds of integration for function G is 0 to 5.

We see that we need to subtract function G from function F to get our area of the region (See attachment graph for visual).

Step 3: Find Area of Region

Integration Part 1

Step 4: Identify Variables

Set variables for u-substitution for both integrals.

Integral 1:

u = 15 - x

du = -dx

Integral 2:

z = 15 - 3x

dz = -3dx

Step 5: Find Area of Region

Integration Part 2

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Area Under the Curve - Area of a Region (Integration)

Book: College Calculus 10e

Answer:

A, E, G

Step-by-step explanation:

Answer:

A

E

G

Step-by-step explanation:

When you divide A, E, and G with the common factor, they all equal 5 : 9

Answer:

a) 0.7639 = 76.39% probability that at least 3 passengers will have been stopped due to change in their pockets.

b) 0 is less than 2.5 standard deviations from the mean, so it would not be unusual.

Step-by-step explanation:

For each passenger, there are only two possible outcomes. Either they will have been stopped due to a change in the pocket, or not. Passengers are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

A measure is considered unusual if it is more than 2.5 standard deviations of the mean.

25% chance that the cause is change in the passenger's pocket.

This means that [tex]p = 0.25[/tex]

During a given hour, 15 passengers are stopped because of a signal from the metal detector.

This means that [tex]n = 15[/tex]

a) Find the probability that at least 3 passengers will have been stopped due to change in their pockets.

This is

[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]

In which

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{15,0}.(0.25)^{0}.(0.75)^{15} = 0.0134[/tex]

[tex]P(X = 1) = C_{15,1}.(0.25)^{1}.(0.75)^{14} = 0.0668[/tex]

[tex]P(X = 2) = C_{15,2}.(0.25)^{2}.(0.75)^{13} = 0.1559[/tex]

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0134 + 0.0668 + 0.1559 = 0.2361[/tex]

[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.2361 = 0.7639[/tex]

0.7639 = 76.39% probability that at least 3 passengers will have been stopped due to change in their pockets.

b) If 15 passengers are stopped by the detector, would it be unusual for none of these to have been stopped due to change in the pocket

First we find the mean and the standard deviation:

[tex]E(X) = np = 15*0.25 = 3.75[/tex]

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{15*0.25*0.75} = 1.68[/tex]

3.75 - 2.5*1.68 = -0.45

0 is less than 2.5 standard deviations from the mean, so it would not be unusual.

Answer:  3

Step-by-step explanation: double the 5 and the 4(to have the same denominator as the 8)

Answer:

13.5 ft

Step-by-step explanation:

base = 18ft

To find the height, take 75% of 18

To do this, take the decimal form of 75% (which is 0.75) and multiply that by 18:

0.75 x 18 = 13.5

13.5 would be the height

Answer:

13.5?

Step-by-step explanation:

uhm... I’m sorry I don’t actually know the answer to your question but I’m trying to get some points...