Expand and combine like terms.
(4 + 7a²)2 =

Answers

Answer 1

Answer:

Step-by-step explanation:

2(4+7a^2)

=8+14a^2

=7a^2+4

OR if that 2 is an exponent

(4+7a^2)^2

=(4+7a^2)(4+7a^2)

=16+49a^4+28a^2+28a^2

=49a^4+56a^2+16


Related Questions

(PLEASE HELP THIS IS TIMED!!!)

Which graph represents the inequality x > 6?

Answers

Answer:

The last one

Step-by-step explanation

x is greater than six so you would go to the right and it has to be an open dot since it can't be the same as 6

Answer:

hello

Step-by-step explanation:

christopher bought a six-pack of soda for 1.50. each can holds 2 fluid ounces. identify the total quantity of each unit in the problem a. cans b. dollars c. cents d. six packs e. ounces f. cases

Answers

The total quantity of each unit in the problem is ounces

What is the volume of a can of soda in ounces?

A can of soda weighs about 2 fluid ounces and in pack of soda, there are 2 cans of soda, which means that total quantity of each unit in the problem can be determined in ounces.

Six packs is not a unitary measure, because each pack has 12 cans , which means that six packs translate into 72 cans(6 packs*12 cans), also, the can itself is made of ounces, hence, measuring the unit of soda in cans is not appropriate where each can is about 2 ounces

Find out more about ounces on:https://brainly.com/question/14929476

#SPJ1

Which of the following ratios is not equivalent to the other three 2/3 4to6 8to12 4/5

Answers

Answer:

The non-equivalent ratio is 4:5.

Step-by-step explanation:

2/3 4/6 and 8/12 are equivalent because they are all multiples of each other.

Which shape is similar to shape x?

Answers

Answer:

the c one

Step-by-step explanation:

hope it will help

Answer:

Step-by-step explanation:

Probably C but I sure wouldn't bet the farm on it. It looks like C is about 1.5 times the size of X

In each triangle ABC, angle C is a right angle. Find the value of the trig function indicated.

Answers

As given triangle ABC, angle C is a right angle if a=6, c=10 then value of trigonometric function is  sin A = 3/5.

As given in the question,

In triangle ABC,

∠C  = 90°

Side a is opposite to angle A

c is the hypotenuse opposite to angle C

a = 6

c = 10

sin A = ( opposite side) / Hypotenuse

⇒sin A = a/c

⇒sin A = 6/10

⇒sin A = 3/5

Therefore, as given triangle ABC, angle C is a right angle if a=6, c=10 then value of trigonometric function is sin A = 3/5.

Learn more about trigonometric function here

brainly.com/question/14746686

#SPJ1

Which is the lower left quadrant on the coordinate plane? A coordinate plane. Quadrant I Quadrant II Quadrant III Quadrant IV

Answers

Answer:

C

Step-by-step explanation:

If u form a C around the origin point, u will know the order.

Answer:

Quadrant 3

Step-by-step explanation:

The quadrants go from:

1                           2

3                          4

sgshnsjmsngtjsdyjhsksykhm​

Answers

i can't read it, its too blurry

anyways have a great day/night :)

Question
A globe of Earth is in the shape of a sphere with a radius of 14 inches. Find its a volume and b surface area.
Round the answers to the nearest hundredth.

Answers

Answer:

[tex]Volume = 11488.21[/tex]

[tex]Area = 2461.76[/tex]

Step-by-step explanation:

Given

[tex]Radius, r = 14\ in[/tex]

Shape: Sphere

Solving (a): The Volume

This is calculated as:

[tex]Volume = \frac{4}{3}\pi r^3[/tex]

Take [tex]\pi[/tex] as 3.14 and substitute 14 for r

[tex]Volume = \frac{4}{3} * 3.14 * 14^3[/tex]

[tex]Volume = \frac{4}{3} * 3.14 * 2744[/tex]

[tex]Volume = \frac{4 * 3.14 * 2744}{3}[/tex]

[tex]Volume = \frac{34464.64}{3}[/tex]

[tex]Volume = 11488.21[/tex]

Solving (b): The Surface Area

This is calculated as follows:

[tex]Area = 4\pi r^2[/tex]

Take [tex]\pi[/tex] as 3.14 and substitute 14 for r

[tex]Area = 4 * 3.14 * 14^2[/tex]

[tex]Area = 4 * 3.14 * 196[/tex]

[tex]Area = 2461.76[/tex]

If Max wants to build a rectangular walkway 4 ft wide by 1.5 ft deep by 20 ft long
from the house to the storage shed, what is the area of the walkway?
Square Feet

Answers

Answer:

80 ft^2

Step-by-step explanation:

The area of a rectangular walkway = L x W = 20 ft x 4ft =  80 ft

Please I need help with the question

Answers

Answer: Yes please tell us the question.

Step-by-step explanation:

Can you attach a photo of the question please? thx!

Which of the following equations is equivalent to 4x-2=38
A. 5x=-50
B. X-20=30
C. 5x=50
D. 2x=10

Answers

D I hope this helps.

A penguin walks 10 feet in 6 seconds. How far does the penguin walk in 45 seconds

Answers

Answer:

70 ish

Step-by-step explanation:

The function W(t) = 40e^–0.35t models the healing of a wound after t hours, where W(t) represents the wound area in square millimeters. What relationship do W(t) and t have?
when t = 0, W(t) > 40
when t = 0, W(t) 0, W(t) > 40
when t > 0, W(t) < 40

ASAP I'm taking test

Answers

Answer:

Pretty sure its D.

Step-by-step explanation:

Whenever I made t something higher than 0 I got something less than 40|

(Sorry if I didn't make it in time and if I did I'm taking the same test rn gl homie)

The value of function W(t) will be less then 40 if t > 0 thus option (D) is correct.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

As per the given function,

W(t) = 40[tex]e^{-0.35t}[/tex]

By the law of indices,

W(t) = 40/[tex]e^{.035t}[/tex]

When t > 0 the value of  [tex]e^{.035t}[/tex] > 1

Thus, t > 0 the value of W(t) < 40

Hence "The value of function W(t) will be less then 40 if t > 0".

For more about the function,

brainly.com/question/23712366

#SPJ2

Marbles question:

John is told to find 3 specific marbles within a box of 60 marbles. The room is dark and he can’t see the marbles properly. He pours out 20 of these marbles, and blindly chooses 3 of them.


What are the chances he chooses the 3 specific marbles he was told to find?

Answers

The chances he chooses the 3 specific marbles he was told to find is 1/20.

How to calculate the probability?

It should be noted that there are 60 marbles and he wants to find 3.

In this case, he poured out 20. Therefore, his chances of picking the three marbles will be 1 out of 20.

Therefore, the chances will be 1/20.

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

At 60 km per hour it takes archie 10 hours to travel from his house in Manila to his house in the province. If his rate will be 120 km per hour, how long will it take him to reach his house in the province from Manila

A. 5 hours
B. 8.5 hours
C. 6 hours
D. 7.5 hours

Pls i need it now

Answers

Answer:

a

Step-by-step explanation:

5 hours

a tortoise is walking in a desert. it walks at a speed of 5 meters per minute for 156.25 meters. for how many minutes does it walk?​

Answers

Answer:

31 1/4 minutes

Step-by-step explanation:

156.25/5= 31.25

Answer:

31.25 minutes

Step-by-step explanation:

156.25 divided by 5 is 31.25

Plz help me with this!?!? I will mark you brainliest plz and thank you!

Answers

Answer:

9

Step-by-step explanation:

Please answer this correctly without making mistakes

Answers

Answer: take 20% off

Step-by-step explanation:

the first one is correct because you would be getting 20% off of any purchase.

A ball is thrown from an initial height of 4 feet with an initial upward velocity of 30ft/s. The balls height h (in feet) after t seconds is given by the following. H=4+30t-16t^2n

Answers

The maximum height of the ball is at 18.0625 feet which occurs at 0.9375 s

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Let h represent the height of the ball after t seconds, hence:

h(t) = 4 + 30t - 16t²

The maximum height is at h'(t) = 0, hence:

h'(t) = 30 - 32t

-32t + 30 = 0

t = 0.9375 s

h(0.9375) = 4 + 30(0.9375) - 16(0.9375)² = 18.0625 feet

The maximum height of the ball is at 18.0625 feet which occurs at 0.9375 s

Find out more on equation at: https://brainly.com/question/13763238

#SPJ1

What are the roots of f(x)=x^3-x^2-5x-3?

Answers

Answer:

x=3 and x=-1

Step-by-step explanation:

Given Descartes' Rule of Signs, there is only one positive root and one negative root.

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient.

So P could be +1, -1, +3, or -3, while Q could be 1 or -1.

Therefore, P/Q could be +1, -1, +3, or -3.

Then we use synthetic division to find the correct factor(s):

1 | 1 -1 -5   -3

___ 1_0_ -5

   1  0 -5 | -8

So (x-1) is not a factor

-1 | 1 -1 -5   -3

___-1_2_  3

    1 -2 -3 |  0

So (x+1) is a factor where the quotient is x^2-2x-3 or (x-3)(x+1)

3 | 1 -1 -5   -3

___ 3_6_ 3

    1  2  1 |  0

So (x-3) is a factor where the quotient is x^2+2x+1 or (x+1)^2

Given (x-3) and (x+1) are factors, we now use the Zero Product Property:

(x-3)(x+1)=0

x-3=0

x=3

x+1=0

x=-1

So the roots are x=3 and x=-1

Evaluate 4^2 - 6 ÷ 2 + 3=

Answers

Answer:The correct answer is 16

Step-by-step explanation:

4^2= 16

16-6/2+3

16-3+3

13+3=16

Please I need some answers

Answers

The answer to this question is -5

Two people are pulling on a rope in order to get a 2250-kg car out of a mud puddle. One person pulls with a force of 600 N and the other pulls with a force of 800 N. There is a resistive frictional force of 1200 N. What will the acceleration of the car be? (answer with 3 digits, units will be m/s/s, DO NOT put them. ) *

Answers

Assuming both people are pulling in the same direction, the net force on the car is, according to Newton's second law,

600 N + 800 N - 1200 N = (2250 kg) a

Solve for the acceleration a :

200 N = (2250 kg) a

a = (200 N) / (2250 kg)

a0.0889 m/s/s

Given the quadratic function f(x) = 4x^2 - 4x + 3, determine all possible solutions for f(x) = 0

Answers

Answer:

The solutions to the quadratic function are:

[tex]x=i\sqrt{\frac{1}{2}}+\frac{1}{2},\:x=-i\sqrt{\frac{1}{2}}+\frac{1}{2}[/tex]

Step-by-step explanation:

Given the function

[tex]f\left(x\right)\:=\:4x^2\:-\:4x\:+\:3[/tex]

Let us determine all possible solutions for f(x) = 0

[tex]0=4x^2-4x+3[/tex]

switch both sides

[tex]4x^2-4x+3=0[/tex]

subtract 3 from both sides

[tex]4x^2-4x+3-3=0-3[/tex]

simplify

[tex]4x^2-4x=-3[/tex]

Divide both sides by 4

[tex]\frac{4x^2-4x}{4}=\frac{-3}{4}[/tex]

[tex]x^2-x=-\frac{3}{4}[/tex]

Add (-1/2)² to both sides

[tex]x^2-x+\left(-\frac{1}{2}\right)^2=-\frac{3}{4}+\left(-\frac{1}{2}\right)^2[/tex]

[tex]x^2-x+\left(-\frac{1}{2}\right)^2=-\frac{1}{2}[/tex]

[tex]\left(x-\frac{1}{2}\right)^2=-\frac{1}{2}[/tex]

[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]

solving

[tex]x-\frac{1}{2}=\sqrt{-\frac{1}{2}}[/tex]

[tex]x-\frac{1}{2}=\sqrt{-1}\sqrt{\frac{1}{2}}[/tex]                 ∵ [tex]\sqrt{-\frac{1}{2}}=\sqrt{-1}\sqrt{\frac{1}{2}}[/tex]

as

[tex]\sqrt{-1}=i[/tex]

so

[tex]x-\frac{1}{2}=i\sqrt{\frac{1}{2}}[/tex]

Add 1/2 to both sides

[tex]x-\frac{1}{2}+\frac{1}{2}=i\sqrt{\frac{1}{2}}+\frac{1}{2}[/tex]

[tex]x=i\sqrt{\frac{1}{2}}+\frac{1}{2}[/tex]

also solving

[tex]x-\frac{1}{2}=-\sqrt{-\frac{1}{2}}[/tex]

[tex]x-\frac{1}{2}=-i\sqrt{\frac{1}{2}}[/tex]

Add 1/2 to both sides

[tex]x-\frac{1}{2}+\frac{1}{2}=-i\sqrt{\frac{1}{2}}+\frac{1}{2}[/tex]

[tex]x=-i\sqrt{\frac{1}{2}}+\frac{1}{2}[/tex]

Therefore, the solutions to the quadratic function are:

[tex]x=i\sqrt{\frac{1}{2}}+\frac{1}{2},\:x=-i\sqrt{\frac{1}{2}}+\frac{1}{2}[/tex]

Evaluate. 1 1/2÷4
A. 2 1/2
B. 12/2
C. 3/8
D. 6

Answers

the correct answer is C. 3/8

the correct answer is C. 3/8

fraction or decimals that stop are known as _____numbers.
Partial
Rational

Answers

The answer is rational

Answer:

Step-by-step explanation:

Rational numbers are numbers that are terminating decimals or nonterminating, repeating decimals.

Like 3, -4, 7.166..

Calculate the constant of proportionality, k, for the given table.

Answers

Answer:

k = y/x

Step-by-step explanation:

1/5, 2/10, 3/15 . . . all equal to 1/5 which is what the value of k is; 'k' stands for constant of proportionality

Ceecee and Jose ate at a restaurant.
Ceecee gave a 20% tip on an $85 dinner bill.
Jose gave a 18% tip on a $80 dinner bill.
Who (Ceecee or Jose) gave the larger tip?

Answers

I think it’s Jose because 18% but im not sure

Nick bought 5 tickets to go to the amusement park for $65. If he wanted to buy 8 tickets, what would that cost him?

Answers

Answer:

$104

Step-by-step explanation:

First find how much 1 ticket costs

65/5= 13

Times that by 8

8x13=104

Dreyfus cashed a check for $145. The teller gave him five $20 bills, two $20 bills, and f $1 bills. How many $1 bills did he get?

Answers

Answer:

5 singles

Step-by-step explanation:

5 $20= 100

2 $20= 40

remainder is 5 singles

Answer:

5 $1 bills.

Step-by-step explanation:

The expression to reflect this problem is:

145 = 20(5) + 20(2) + 1x

145 = 100 + 40 + 1x

145 = 140 + 1x

145 - 140 = 140 + 1x - 140

5 = 1x

5 ÷ 1 = 1x ÷ 1

5 = x

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Other Questions
What is the prime factorization of 80?A. 22225B. 2235C. 22235D. 2225pls make sure ur correct i have a c in math. ill give u brainliest 7Lydia wants to buy as many $3 pop-sockets as she can for her friends. If she has $16, whichlinear inequality would be used to solve for how many she can buy? a video doorbell can assist you by . select all that apply. a. monitoring fuel efficiency b. alerting your phone when someone approaches the door c. unlocking your car as you approach it d. allowing you to talk to a visitor even if you're not home Treatment of (2R,3R)-2,2-epoxy-3-methylpentane with aqueous acid results in a ring-opening reaction. Draw structural formulas for the first and second intermediates in this reaction. calcaulate the reliability of the system if all components function properly with probability 0.95. [hint: a,b and c,d are not in sequel. start with parallel components!] Help plzzzzz!!!!:)!!!! PLEASE HELPWhat internal conflict does the princess have? What motives does the princess have for each possibility? Based on this excerpt from F. Scott Fitzgerald's "Winter Dreams," what is the meaning of the word priggish?He stayed late at the dance. He sat for an hour with Irene Scheerer and talked about books and about music. He knew very little about either. But he was beginning to be master of his own time now, and he had a rather priggish notion that hethe young and already fabulously successful Dexter Greenshould know more about such things.A. benignB. successfulC. obnoxiousD. definitiveE. pessimistic The Image below shows the cambium being indicated by the arrow. What is the function of this plant structure?-Transports water to the surface of the leaves-Expands the width and height of plants through growth-Gives plants support-Acts as a receptor for gas intake Yo __pelo castao.A) tienesB) tienec) tengoD) tenemos How did Harriet Tubmans life impact history? In some science experiments, you are trying to compare the effects that a certain variable may have on the topic of interest. For example, read the following question: What brand of fertilizer makes roses grow the fastest? Lets say you had three brands that you were using, and we will just call them brands A, B, and C. In an experiment, the different types of fertilizer would be called treatments, because you will be treating roses with each type of fertilizer. Most experiments that have a treatment also have a control, which in this case would be roses that had no fertilizer applied to them. In any experiment you want to eliminate as many variables as possible. In this experiment, the only thing you want to vary is the type of fertilizer. Everything else (sunlight, water, temperature, etc) you hope, will stay the same. Use the information about this example experiment to answer problems 7-10. How many different groups of roses will you need?Choose one answer. a. Three b. Four Read the Craft and Structure notes, then read the poems in Collection 3. Following the directions listed on page 401 under "Writing to Sources" I want you to write a narrative and a lyric poem about an admirable person. Yes, I want both a narrative and a lyric poem about the same person. Do not forget to include the paragraph comparing your topic and style to one of the poems in the collection -- you can choose to examine either your narrative or lyric poem for this portion, but you do not have to do both. write any four causes of having low per capita income of Nepal and describe briefly What is the value of x in the equation -3 PLEASE HELP MEEEEEEEEEEEEEE ILL GIVE U 50 coins for the right answerSimplify the expression. Explain each step (0+c)+12 How do you think that early colonists from Great Britain justified/explained to themselves arriving on a new continent and settling on land already occupied by the indigenous people? I will give brainliest to the person with the most detailed explanation. please help me asap Find the equation of the linear function represented by the table below in slope-intercept form. x y 1 -3 2 -9 3 -15 4 -21 PLZ HELP WILL GIVE BRAINLIEST