write in set notation; The et of all real numbers greater than 8 but less than 65​

The vertex of the function is (2, 28) and the y-intercept of the function is (0, 40)

Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

The equation of the function is given as

y = 3x^2 - 12x + 40

Differentiate the function

So, we have

y' = 6x - 12

Set the function to 0

So, we have

6x - 12 = 0

This gives

6x = 12

Divide by 6

x = 2

Substitute x = 2 in y = 3x^2 - 12x + 40

y = 3 x 2^2 - 12 x 2 + 40

Evaluate

y = 28

This means that the vertex of the function is (2, 28)

Substitute 0 for x to determine the y-intercept

y = 3 x 0^2 - 12 x 0 + 40

Evaluate

y = 40

This means that the y-intercept of the function is (0, 40)

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The value of x for the two lengths of the diagonals is 1.

A diagonal in geometry is a line segment that connects two polygonal or polyhedral vertices when they are not on the same edge. Any sloping line is known as a diagonal informally.

Geometry is the area of mathematics that deals with the characteristics of space and the shapes of particular things as well as the interactions between them in space.

Given that the two segment values are 2x + 4 and 7x - 1. The value of x will be calculated as,

2x+4 = 7x-1

5x = 5

x = 1

Hence, the value of x is 1.

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Answer:

875ft squared (2)

Step-by-step explanation:

divide 5 into 35 you get 7

25 is 5 times 5 so you can infer that the measurement for FG would be 5x7

then do 35x25 and thats your answer

Step-by-step explanation:

Hope it helps

Have a good day Ahead

Answer:

there an app called wolfram that you can use because I don't know how to do that

Answer: You didn't add like a question or a link sorry..

Answer:

(4 + y)(4 - y)

Step-by-step explanation:

[tex]16 - {y}^{2} \\ \\ = {4}^{2} - {y}^{2} \\ \\ = (4 + y)(4 - y)[/tex]

The measure of angle O from the triangle MNO is 156.92°.

In trigonometry, the law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.

The formula for the cosine rule is c=√(a²+b²-2ab cosC)

Given that, in triangle MNO, m = 720 cm, n = 160 cm and o=870 cm.

Now, 870=√(720²+160²-2×720×160 cosO)

870²=720²+160²-2×720×160 cosO

756900=544000-230400 cosO

212900=-230400 cosO

cosO= -212900/230400

cosO= -0.92

∠O=156.92°

Therefore, the measure of angle O from the triangle MNO is 156.92°.

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Answer:

158

Step-by-step explanation:

Answer:

If you do you nasty

Smh why would you say thaaaaaat

Answer:

where ya mom at homie :smirk:

Step-by-step explanation:

Answer:

1000x4=4000

Step-by-step explanation:

there is no graph

Answer:

C

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I just did it :)

Answer:

(1,-44), (2,-48),(3,-52).......

Step-by-step explanation:

4(1)+y=-40

4+y=-40

y=-40-4

y=-44

(1,-44)

.

.

.

(x,y)

(0,−40)

(2,−48)

(−10,0)

Answer:

we need a picture or screenshot to answer this correctly, but i would think it would be consumer growth per time unit that the graph is based on

Answer:

we would need a question like a picture or some thing else.

Answer:

area of triangle = 1/2 ×base×height

Answer:

However, if the initial receiving team only scores a field goal, the game is not automatically over and the other team is given an opportunity .

sana makatulong

Step-by-step explanation:

Answer:

384

Step-by-step explanation:

A=[tex]6_{2}[/tex]a=6·82=384

Answer:

can you help me to How do wetlands form?

Tributaries flow into rivers.

Runoff travels down the side of a divide.

Water builds up in a depression left by an ice sheet.

Groundwater comes to the surface and floods the land.

Step-by-step explanation:

Answer:

What is the difference between linear and exponential functions? Linear functions change at a constant rate per unit interval. An exponential function changes by a common ratio over equal intervals.

Answer:

0 vault x32 3sqeus 487=8

Step-by-step explanation:

so its 24 of 3 squers

Step-by-step explanation:

Answer:

a and c

Step-by-step explanation:

Answer:

AFCE = 30

P+Q = 11

Step-by-step explanation:

From the picture, you can see the figure can be decomposed into two identical large triangles with area 20, and 4 identical longer ones, that have to cover the remaining area 40, thus 10 each.

From that you can count the area.

Second puzzle is just trial and error.

Answer:

a) 0.587 = 58.7% probability that the company uses flexible work arrangements or gives time off for volunteerism.

b) 0.205 = 20.5% probability that the company uses flexible work arrangements and does not give time off for volunteerism.

c) 0.3317 = 33.17% probability that the company uses flexible work arrangements.

d) 0.4634 = 46.34% probability that the company does not use flexible work arrangements given that the company does give time off for volunteerism.

e) 0.795 = 79.5% probability that the company does not use flexible work arrangements or the company does not give time off for volunteerism.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

a. The company uses flexible work arrangements or gives time off for volunteerism.

41% use flexible work arrangements.

Of the 100-41 = 59% that do not use flexible work arrangments, 30% give time off for volunteerism. So

[tex]p = 0.41 + 0.59*0.3 = 0.587[/tex]

0.587 = 58.7% probability that the company uses flexible work arrangements or gives time off for volunteerism.

b. The company uses flexible work arrangements and does not give time off for volunteerism.

41% use flexible work arrangements. Of those, 100 - 50 = 50% do not give time off for volunteerism. So

[tex]p = 0.41*0.5 = 0.205[/tex]

0.205 = 20.5% probability that the company uses flexible work arrangements and does not give time off for volunteerism.

c. Given that the company does not give time off for volunteerism, the company uses flexible work arrangements.

Here, we use conditional probability.

Event A: Does not give time off for volunteerism

Event B: Uses flexible work arrangments.

0.205 = 20.5% probability that the company uses flexible work arrangements and does not give time off for volunteerism.

This means that [tex]P(A \cap B) = 0.205[/tex]

Probability that the company does not give time off for volunteerism:

0.205(uses flexible work arrangments).

100 - 30 = 70% of 59%. So

[tex]P(A) = 0.205 + 0.7*0.59 = 0.618[/tex]

The desired probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.205}{0.618} = 0.3317[/tex]

0.3317 = 33.17% probability that the company uses flexible work arrangements.

d. The company does not use flexible work arrangements given that the company does give time off for volunteerism.

Again conditional probability.

Event A: Gives time off for volunteerism

Event B: Does not use flexible work arrangements.

Probability of giving time off for volunteerism:

50% of 41%(have flexible work arrangements).

30% of 59%(don't have flexible work arrangements).

So

[tex]P(A) = 0.5*0.41 + 0.3*0.59 = 0.382[/tex]

Gives time off for volunteerism and does not use flexible work arrangements.

30% of 59%. So

[tex]P(A \cap B) = 0.3*0.59 = 0.177[/tex]

The desired probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.177}{0.382} = 0.4634[/tex]

0.4634 = 46.34% probability that the company does not use flexible work arrangements given that the company does give time off for volunteerism.

e. The company does not use flexible work arrangements or the company does not give time off for volunteerism.

Does not use flexible work arrangments: 59%

Dont give time off for volunteerism(70% already in the 59%, so we dont add) and 50% of 41%.

[tex]p = 0.59 + 0.5*0.41 = 0.795[/tex]

0.795 = 79.5% probability that the company does not use flexible work arrangements or the company does not give time off for volunteerism.

Answer:

Point V

Step-by-step explanation:

i think

Answer:

Blue = 12/58 * 100% = 20.68 = 21%

Red = 6/58 * 100 = 10.34 = 10%

Yellow = 21/58 * 100 = 36.20 = 36%

Black = 8/58 * 100 = 13.79 = 14%

Green = 11/58 * 100 = 18.96 = 19%

Step-by-step explanation:

Given the table :

Marble_color ____ Number of marbles

Blue ___________ 12

Red ___________ 6

Yellow _________ 21

Black __________ 8

Green _________ 11

Theoretical probability % = (number of favorable outcome / number of total possible outcomes)

Total possible outcomes = (12+6+21+8+11) = 58

Blue = 12/58 * 100% = 20.68 = 21%

Red = 6/58 * 100 = 10.34 = 10%

Yellow = 21/58 * 100 = 36.20 = 36%

Black = 8/58 * 100 = 13.79 = 14%

Green = 11/58 * 100 = 18.96 = 19%

Answer:

You will need 800 [tex]ft^{3}[/tex] of water to fill the pool.

Step-by-step explanation:

The amount of cubic that we need is equal to the volume of the pool therefore we just have to find the volume of the pool by using the following formula...

Volume = (Length)(Width)(Height/Depth) = (20)(10)(4) = 800

Therefore you will need 800 [tex]ft^{3}[/tex] of water to fill the pool.

Answer:

19 3782 832 38= 78043

Step-by-step explanation: