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

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)

a ≈ 0.0889 m/s/s

the correct answer is C. 3/8

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

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]

i can't read it, its too blurry

anyways have a great day/night :)

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:

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

Answer:

Step-by-step explanation:

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

Like 3, -4, 7.166..

Answer:

70 ish

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

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!

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

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

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.

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

Answer: take 20% off

Step-by-step explanation:

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

Answer:

80 ft^2

Step-by-step explanation:

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

Answer:

a

Step-by-step explanation:

5 hours

Answer: Yes please tell us the question.

Step-by-step explanation:

Answer:

$104

Step-by-step explanation:

First find how much 1 ticket costs

65/5= 13

Times that by 8

8x13=104

Answer:The correct answer is 16

Step-by-step explanation:

4^2= 16

16-6/2+3

16-3+3

13+3=16

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

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]

Answer:

Step-by-step explanation:

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

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

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.

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

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

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

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