Find the product. (6y - 2)2

A. 36y2 - 24y + 4
B. 36y2 + 24y = 4
C. 36y2 + 4
D. 12y2 - 16y + 4​

Answers

Answer 1

Answer:

A. 36y² - 24y + 4

Step-by-step explanation:

Use identity

(a ± b)² = a² ± 2ab + b²

Here we have a = 6y, b = 2

(6y - 2)² = (6y)² - 2(6y)(2) + 2² = 36y² - 24y + 4

Correct choice is A


Related Questions

. Find the angle between the given vectors to the nearest tenth of a degree. u = <2, -4>, v = <3, -8> (2 points)

Answers

Answer:

6.0

Step-by-step explanation:

practice many times

19. Given that angle BFC = 58°. Angle BXG = 48° and angle CBF 22 Find () 2BGX (iv) BCG (i) 2BGF (iv) ZBFG (ii) BCF H EE 58 48° D C 220 A- Figure 5.74​

Answers

The unknown angles in the cyclic quadrilateral is as follows:

∠BGX = 74° (sum of angles in a triangle)

∠BGF = 180° (opposite angles of cyclic quadrilateral are supplementary)

∠BCF = 100°(sum of angles in a triangle)

∠BCG  = 26°

∠BFG = 22°

Cyclic Quadrilateral

A cyclic quadrilateral has all its angles equal to 360 degrees. The sum of angles in a cyclic quadrilateral is equals to 360 degrees.

Let's find the missing angles as follows:

∠BGX = 180 - 48 - 58 = 74° (sum of angles in a triangle)

∠BGF = 180 - 100 = 80° (opposite angles of cyclic quadrilateral are supplementary)

∠BCF = 180 - 22 - 58 = 100°(sum of angles in a triangle)

∠BCG = 100 - 74 = 26°

∠BFG ≅ CBF = 22°(alternate angles)

learn more on angles here: https://brainly.com/question/19430381

What is an equation of the line that passes through (0, 4) and (2,8)?

Answers

Answer:

y=2x+4

Step-by-step explanation:

Hi there!

We are given the points (0, 4) and (2,8)

We want to write the equation of the line that passes through these two points

There are 3 ways to write the equation of the line, but the most common way is with slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

So, to use this way, we need to find the slope of the line

The slope can be calculated using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We are already given the points needed to find the slope, but let's label them to avoid any confusion

[tex]x_1=0\\y_1=4\\x_2=2\\y_2=8[/tex]

Now substitute these values into the formula.

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{8-4}{2-0}[/tex]

Subtract

m=[tex]\frac{4}{2}[/tex]

Divide

m=2

The slope of the line is 2

Here is the equation of the line so far:

y=2x+b

Now we need to find b

As stated before, b is the y intercept of the line, which is the point in where the line passes through the y axis; the value of x at this point is 0

One of the points we were given earlier is actually the y intercept of the line; that point is (0, 4) *notice how x=0 at this point

The value of b is the value of y at the y intercept; in this case, the value of b is 4

Substitute 4 as b into the equation

y=2x+4

Hope this helps!

See more on this topic here: https://brainly.com/question/27172025

Convert 68% As a fraction

Answers

Answer:

68/100

Step-by-step explanation:

It would be this because, with percentages, 100 is full. Therefore, we can just make 68 be out of 100. Hope this helps :)

A Ferris wheel is 20 meters in diameter and completes 1 full revolution in 8 minutes.



A round Ferris wheel

A Ferris wheel is 20 meters in diameter and boarded from a platform that is 1 meter above the ground. The six o’clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 8 minutes. The function h(t) gives a person’s height in meters above the ground t minutes after the wheel begins to turn.



a. Find the amplitude, midline, and period of h(t).



Enter the exact answers.



Amplitude: A= meters

Midline: h= meters

Period: P= minutes



b. Assume that a person has just boarded the Ferris wheel from the platform and that the Ferris wheel starts spinning at time t=0. Find a formula for the height function h(t).



Hints:

What is the value of h(0)?
Is this the maximum value of h(t), the minimum value of h(t), or a value between the two?
The function sin(t) has a value between its maximum and minimum at t=0 , so can h(t) be a straight sine function?
The function cos(t) has its maximum at t=0, so can h(t) be a straight cosine function?


c. If the Ferris wheel continues to turn, how high off the ground is a person after 30 minutes?

Answers

Given that the Ferris diameter is 20 meters, with a rate of rotation of 1 turn in 8 minutes, we have;

a. Amplitude: A = 10 meters

Midline: h = 11 meters

Period, P = 8 minutes

b. h(t) = 10•cos((π/4)•t + π) + 11

c. 11 meters

How can the Ferris wheel be evaluated?

The amplitude is the same as the radius of the Ferris wheel,

The radius of the Ferris wheel = 20 ÷ 2 = 10

Therefore;

Amplitude: A = 10 meters

[tex]the \: midline \: = \frac{max \: height \: + min \: height}{2} [/tex]

Therefore;

[tex]midline \: = \frac{10 + 10 + 1 + 1}{2} = 11[/tex]

Midline: h = 11 meters

The period is the time to complete one rotation, therefore;

Period, P = 8 minutes

b. h(t) = A•cos(B•t + C) + h

Where;

B = 2•π/P

When t = 0, h(t) = 1

Which gives;

h(0) = 1 = 10 × cos(B×0 + C) + 11

-10/10 = -1 = cos(C)

C = arcos(-1) = π

Therefore;

h(t) = 10•cos((π/4)•t + π) + 11

h(0) = 1

h(0) is the minimum value of h(t)

h(t) cannot be a straight sine function because of the vertical shift

h(t) cannot be a straight cosine function because at t = 0, is the minimum point

c. After 30 minutes, we have;

h(30) = 10•cos((π/4)×30 + π) + 11 = 11

The height of a person after 30 minutes is 11 meters

Learn more about the Ferris wheel here:

https://brainly.com/question/86214

I need help with this question!

Answers

Answer:

B

Step-by-step explanation:

Frank is surveying shoppers about their use of the new food court in a mall. Which question in his survey is a statistical question?

How many hours do you spend at the food court each month?
Where is the food court located in the mall?
How many restaurants are there in the food court?
Who is the manager of the food court?

Answers

Answer:

A  How many hours do you spend at the food court each month? is a statistical question

Step-by-step explanation:

Because that can have many answers unlike where is the food court in the mall? that question is not statistical because there can only be one answer and so are all the other ones.

Answer:

How many hours do you spend at the food court each month?

Step-by-step explanation:

I just took test got 100% this answer is correct

How many hours do you spend at the food court each month?

5
Solve for x. Round all answers to the nearest tenth.
X
32
14
O 11
O 11.7
O 10.2
O 11.9

Answers

Answer:

11.9

Step-by-step explanation:

Making sure your calculator is in degree mode, we have:

[tex] \cos(32) = \frac{x}{14} [/tex]

[tex]x = 14 \cos(32) = 11.9[/tex]

solve the system by substitution​

Answers

1) Solve one of the equations for either variable.

2) Substitute the expression from Step 1 into the other equation.

3) Solve the resulting equation.

4) Substitute the solution in Step 3 into one of the original equations to find the other variable.

5) Write the solution as an ordered pair.

Jeremiah has a mailing cylinder for posters that measures 12 inches long and 8 inches in diameter. What approximate volume can it hold? Use 3.14 for pi. Do not round. SHOW YOUR WORK.

Answers

Answer:

The cylinder can hold 508.68 in³

Explanation:

The volume of a cylinder can be calculated using the following rule:

Volume of cylinder = πr²h cubic units

where r is the radius of the cylinder and h is its height

Now, we are given that:

height of cylinder = 18 in

diameter of cylinder = 6 in which means that the radius of the cylinder is 3 in

π is 3.14

Substitute with the givens in the above equation to get the volume of the cylinder as follows:

Volume of cylinder = πr²h

Volume of cylinder = 3.14 * (3)² * 18

Volume of cylinder = 508.68 in³

A manufacturing company has two plants at different locations producing three different items equally within each plant. Based on the number of workers and the demand for the items in their respective locations, the number of items manufactured per day by each plant is listed in the table. Plant A Plant B Item 1 22 15 Item 2 8 12 Item 3 14 25 Select the observed and expected frequencies for Item 2 produced by Plant B.

Answers

Answer:

the answer would be 12-19+23=18 so you need a new calculator

Step-by-step explanation:

yes

A deck of cards contains
52 cards. two decks
are put together, how
many cards will be left
over if 7 people divide
them evenly?

Answers

Answer:

6

Step-by-step explanation:

52+52=104
104/7=14.8

7*14=98
104-98=6

Guys please help! i will mark brainliest to the right answers

Note: in order for me to mark a brainliest 2 people need to answer

Answers

Answer:

look at the picture i have attached and tell me what you think???

Step-by-step explanation:

parallel is two lines that go like this \\ or like this =

perpendicular is two lines that go like this +

which is it?

Answer:

they are parallel as gradient is the same because in first equation coefficient of x is -2 and in second equation after rearranging equation in form of y= mx + c, m is -2

Is the table a linear or exponential function?

Answers

The table represents linear because the x represent the exponential functions

What is the perfect square of the root 3x^4

Answers

Answer:

the perfect square is 9x²

Step-by-step explanation:

√(3×)⁴

=(3x)²

=9x²

A container holds 4 gallons of lemonade. How much is this in pints

Answers

Answer:

i think I'd be / the answer is 46


Is x + 2 a factor of p(x) = x°- 3x² – 7x + 6 ? Explain your answer.

Answers

Answer:

True

Determine whether x+2 is a factor of x³-3x²-7x+6:

[tex]True[/tex]

I hope this helps you

:)

Please help and I'll mark brainliest ​

Answers

Answer:

the answer is 60

Step-by-step explanation:

brainliest please

Answer:

B.)   I'm not 100% sure

Step-by-step explanation:

Hope this helped

Plsss help mee I’m not sure what the answer is

Answers

So r = 5
Base area = pi * r ^ 2 = pi * 5 ^2 = 25 pi
Volume = base area * height = 25 pi * 20 = 500 pi
D

Answer:

D. would be the correct answer

Without dividing,
how can you tell if the quotient for
5,873 = 8 is greater than 700? Explain
whether the quotient is less than 800.

Answers

Answer:

The quotient is between 700 and 800

Step-by-step explanation:

Prove by multiplication

700*8 = 5600 < 5873

Similarly

800*8 = 6400 > 5873

So the expression is 5873/8

Now

We can prove the given statement to multiplication

Multiply with 8

700×85600

And

800×86400

Yes

We see 5873 lies between 5600 and 6400 hence the quotient is greater than 700 but less than 800

If yesterday's day after tomorrow is Sunday, what day is tomorrow's day before
yesterday?

Answers

Answer:

friday

Step-by-step explanation:

7.4 Practice
A medicine is effective on 70% of patients.
The table shows 30 randomly generated
numbers from to 999. Use the table to
estimate the probability of the event.
1. The modicine is effective on at least two
of the next three patients.
028837 618 205 984
724 301249 946 925
042 | 113 | 696 985 632
312085 | 997 198 | 398
117 240 853:373 597
606 077 016 012
695
2. The medicine is effective on none
of the next three patients.
Design and use a simulation to find the experimental probability.
3. A bowler hats the headpin 90% of the time that all ten pins are standing.
What is the experimental probability that the bowler hits the headpin
exactly four of the next five times that all ten pins are standing?

Answers

The simulation of the medicine and the bowler hat are illustrations of probability

The probability that the medicine is effective on at least two is 0.767The probability that the medicine is effective on none is 0The probability that the bowler hits a headpin 4 out of 5 times is 0.3281

The probability that the medicine is effective on at least two

From the question,

Numbers 1 to 7 represents the medicine being effective0, 8 and 9 represents the medicine not being effective

From the simulation, 23 of the 30 randomly generated numbers show that the medicine is effective on at least two

So, the probability is:

p = 23/30

p = 0.767

Hence, the probability that the medicine is effective on at least two is 0.767

The probability that the medicine is effective on none

From the simulation, 0 of the 30 randomly generated numbers show that the medicine is effective on none

So, the probability is:

p = 0/30

p = 0

Hence, the probability that the medicine is effective on none is 0

The probability a bowler hits a headpin

The probability of hitting a headpin is:

p = 90%

The probability a bowler hits a headpin 4 out of 5 times is:

P(x) = nCx * p^x * (1 - p)^(n - x)

So, we have:

P(4) = 5C4 * (90%)^4 * (1 - 90%)^1

P(4) = 0.3281

Hence, the probability that the bowler hits a headpin 4 out of 5 times is 0.3281

Read more about probabilities at:

https://brainly.com/question/25870256

La medida de cada ángulo interno de un polígono regular es 162º. Hallar el número de lados.

Número de lados=

Answers

Answer:

n = 20

Step-by-step explanation:

[ 180° ( n - 2 ) ] / n = 162°  

180 ( n - 2 ) = 162 n

180n - 360 = 162n

18n = 360

n = 20

insurance that pays for damages to houses or businesses is called

Answers

Answer:

Homeowners insurance

Step-by-step explanation:

Homeowners insurance is designed to protect your home from what are called "perils." A peril is your exposure to risk or something that causes loss or destruction. … Homeowners 2 (HO2): This policy protects your property against 18 perils (including 11 perils from Homeowners 1). Typical homeowners insurance policies offer coverage for damage caused by fires, lightning strikes, windstorms and hail. But, it's important to know that not all natural disasters are covered by homeowners insurance. For example, damage caused by earthquakes and floods are not typically covered by homeowners insurance.

To visit the top of the Empire State Building, a ticket cost $ 4.00 in 1999. In 2009, the price rose to $ 20.00. What was the percent charge

Answers

Answer:

500%

Step-by-step explanation:

500% is 500/100 which is just 5*4=20

29
= 30
31
An amount of $32,000 is borrowed for 6 years at 6.25% interest, compounded annually. If the loan is paid in full at the end of that period, how much must
paid back

Answers

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$32000\\ r=rate\to 6.25\%\to \frac{6.25}{100}\dotfill &0.0625\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &6 \end{cases} \\\\\\ A=32000\left(1+\frac{0.0625}{1}\right)^{1\cdot 6}\implies A=32000(1.0625)^6\implies A\approx 46038.78[/tex]


expand the following
1. ( m+n)(10m-4n)
2.(6x+y)​

Answers

hope it helps....!!!!!

Tom and Blair live the same
distance from their school.
Marcia lives 2 blocks from the
school, but 7 blocks from Blair.
She lives 1 block closer to the
school than she does to Tom.
They all live on the same street
as the school. How far apart do
Tom and Blair live?

Answers

Answer:

Step-by-step explanation:

We can think of this problem like a triangle that Tom, Blair, and Marcia live in.

This triangle is a right triangle.

the opposite is 3, the hypotenuse is 7, and the adjacent side is unknown.

Solving for the adjacent side will give us the distance that Tom and Blair live from each other

a^2 +b^2 = c^2

3^2 + b^2= 7^2

Now we solve for B

7^2 =49

3^3=9

9+b^2=49

Now we subtract

49-9=40

9+40=49

The square root of 40 is 6.3246

Now we check our work

3^2 +6.32^2=7^2

9+ 40 =49

The answer is, tom and Blair live approximately 6.3246 blocks from each other

Hope this helps!

a man buys a vehicle at a cost prize of R60 000 from Cape Town. He transported the vehicle from cape town to Gauteng province, where he stays, at a cost prize of R4 500. at what prize must he sell the car to make an overall profit of 25% ?​

Answers

Answer:

R80625

Step-by-step explanation:

Total Cost : 60000 + 4500 = 64500

To make 25% profit: 64500 X 1.25 = 80625

Marco has two number cubes. The faces of each number cube are numbered from 1 to 6. Marco rolled the number cubes and recorded the number showing on the top face of each number cube. The results are shown in the table.



4, 2 5, 2 3, 1 3, 4 2, 6
1, 1 4, 2 2, 3 3, 3 5, 1
1, 5 5, 2 1, 5 1, 2 1, 5
2, 4 4, 2 2, 4 5, 3 2, 4


Based on these results, what is the experimental probability that the next time the number cubes are rolled, they will land with a 2 showing on the top face of one number cube and a 4 showing on the top face of the other number cube?

A.
3
10

B.
9
20

C.
11
20

D.
1
36

Answers

Using it's concept, it is found that the probability that the next trial will result in a 2 and 4 is given by:

A. [tex]\frac{3}{10}[/tex].

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In an experimental probability, the number of outcomes are taken from previous trials.

In this problem, the table states that of 20 trials, 6 resulted in either (2,4) or (4,2), hence the probability is given by:

p = 6/20 = 3/10.

Which means that option A is correct.

More can be learned about probabilities at https://brainly.com/question/14398287

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