Select all expressions equivalent to 162x^2 – 72.
2(9x - 6)^2
2 (81x^2 – 36)
2 (9x - 6) (9x + 6)
18(3x^2 – 2)^2
18 (3x - 2) (3x + 2)

Answer:

I = 337.56

Step-by-step explanation:

Given that,

Principal, P = 1500

Rate, R = 7%

Time, t = 3 years

We need to find the interest if it is compounded annually. We know that, the amount is given by :

[tex]A=P(1+\dfrac{r}{100})^n[/tex]

Put all the values,

[tex]A=1500\times (1+\dfrac{7}{100})^3\\\\A=1837.56[/tex]

We know that,

Interest = Amount - Principal

I = 1837.56 - 1500

I = 337.56

Hence, the interest is equal to 337.56.

Answer:

8

Step-by-step explanation:

if you take all of the numbers 5 5 6 6 7 7 7 8 8 8 9 9 9 9 10

8 is in the midle thus making it the median

i apologise if this is wrong i have not done this kind of math in a while, but i hope this helps

Answer:

its 8...................

Answer:

5.12

6.14

7.36

8.17

9.8

10.24

Answer:

Yes, we can conclude that the ship is older than the national average

Step-by-step explanation:

Population mean, μ = 23.6

Sample mean, xbar = 26.7

Sample size, n = 38

H0 : μ = 23.6

H0 : μ > 23.6

The test statistic :

(xbar - μ) ÷ (σ/√(n))

(26.7 - 23.6) ÷ (5.2/√(38))

3.1 / 0.8435513

Test statistic = 3.675

Decision region :

Reject H0 ; if |Tstatistic| > |Tcritical|

Since we are given the sample standard deviation ; we use the T test distribution

df = 38 - 1 = 37

Tcritical at df = 37 ; α = 0.05 ; rigth tailed :

Tcritical(0.05, 37) = 1.687

3.675 > 1.687 ; Hence, we reject H0 and conclude that there is enough evidence that this type of shop is older than the national average.

Answer:

8(y+ 5) =3

Step-by-step explanation:

Answer:

[tex]f(x)=-9(2)^(^x^-^1^)[/tex]

Explanation:

First, we find the common ratio by dividing any term by its previous term. We should do this a couple of times to make sure it's consistent. In this case, our common ratio is 2. Our first (or 1th) term of the sequence is -9, so our formula becomes

[tex]f(x)=-9(2)^(^x^-^1^)[/tex].

Answer:

703

Step-by-step explanation:

You divide the 8436 by 12.

1. You can't divide the 8 by 12 so skip that

2. You can divide 84 by 12 so you get 7

3. Bring down the 3 (you have 0 as a remainder). You can't divide that so put a 0

4. Bring down the 6 and divide that (36) and you get 3

5. Your final answer would be 703.

Answer:

u

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

I think the m is for measure of line AB

Answer:-x=2

Step-by-step explanation: -3/4x=-24 divide -3/4x for each of the numbers, which is equal to -x=2

Answer:

34°

Step-by-step explanation:

90-56=34°

__________

9514 1404 393

Answer:

Step-by-step explanation:

Look at the angles and sides that are marked, and their relationships to each other. Shared sides are congruent to themselves. Vertical angles are congruent. The possible congruence theorems are ...

  SSS SAS AAS ASA (and HL for right triangles--not applicable here)

__

1. two marked sides and the vertical angle between are congruent. The triangles are congruent by the SAS theorem.

2. only one side and angle are marked. Insufficient information. Not congruent.

3. two marked sides and the shared side are congruent. The triangles are congruent by the SSS theorem.

4. the vertical angles, the marked angles, and the marked sides are congruent. The triangles are congruent by the AAS theorem.

Answer:

Step-by-step explanation:

Answer:

90 degrees

Step-by-step explanation:

Answer:

See below for answers and explanations

Step-by-step explanation:

1) Substitute d=100 into the equation and solve for s:

s=sqrt(9.81d)

s=sqrt(9.81(100))

s=sqrt(981)

s≈31.32

Therefore, the speed of the wave will be about 31.3 m/s

2) Substitute d=1000 into the equation and solve for s:

s=sqrt(9.81d)

s=sqrt(9.81(1000))

s=sqrt(9810)

s≈99.05

Therefore, the speed of the wave will be about 99 m/s

Answer:

103 degrees

Step-by-step explanation:

The angles in a triangle always add up to 180 degrees

so 62+15=77

180-77=103

hope it helps :)

Answer:

103º

Step-by-step explanation:

All angles of a triangle add up to 180º

This means:

62º + 15º + the third angle = 180º

Then you just solve:

180º - 77º = 103º

Hope this helps :)

Answer:

Step-by-step explanation:

I am pretty sure it is B because if you do SOH CAH TOA you get that

Answer:

48

Step-by-step explanation:

Since there are only a few possibilities, I was able to guess and check:

15+51=66 and 66 is not 132

26+62=88 and 88 is not 132

37+73=110 and 110 is not 132

48+84=132 and 132 is 132.

Please give Brainliest!

Answer:

54,000 teenagers

Step-by-step explanation:

72/100* 75,000/1=54,000

Answer:

A, -475ft

Step-by-step explanation:

Answer: -475 ft

Step-by-step explanation: -95 x 5= -475

Answer:

B)

Step-by-step explanation:

Answer:

B) [tex]3.87[/tex]×[tex]10^{8}[/tex]

Given:

The term is 7a.

To find:

The coefficient of "a" in the given term "7a"​.

Solution:

In the product of a number and a variable, the number is called the coefficient of that variable.

In the expression "7a", the number is "7" and the variable is "a". It means the number 7 is the coefficient of "a".

Therefore, the coefficient of "a" in the given term "7a" is 7​.

Answer:

[tex]\displaystyle x=\left\{0, \frac{2\pi}{3}, \frac{4\pi}{3}\right\}[/tex]

Step-by-step explanation:

We want to solve the equation:

[tex]-2\cos^2(x)=-\cos(x)-1[/tex]

Over the interval [0, 2π).

First, notice that this is in quadratic form. So, to make things simpler, we can let u = cos(x). Substitute:

[tex]-2u^2=-u-1[/tex]

Rearrange:

[tex]2u^2-u-1=0[/tex]

Factor:

[tex](2u+1)(u-1)=0[/tex]

Zero Product Property:

[tex]2u+1=0\text{ or } u-1=0[/tex]

Solve for each case:

[tex]\displaystyle u=-\frac{1}{2}\text{ or } u=1[/tex]

Back-substitute:

[tex]\displaystyle \cos(x)=-\frac{1}{2}\text{ or } \cos(x)=1[/tex]

Using the unit circle:

[tex]\displaystyle x=\left\{0, \frac{2\pi}{3}, \frac{4\pi}{3}\right\}[/tex]

Answer:

I think it's A

Step-by-step explanation:

but I do not know this clearly

Answer: The Answer is A.

I plugged the numbers into Excel.

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

Given points are ,

Firstly find the slope of the line passing through these two points . Therefore ,

=> m = y₁ - y₂ / x₁ - x ₂

=> m = ( 3 - 1)/(-2-5)

=> m = -2/7

=> m' = -1/m

=> m' = -1 ÷ -2/7

=> m' = -1 × -7/2

=> m' = 7/2 = 3.5

Answer:

Step-by-step explanation:

This is actually in the wrong place. It should probably be in English or History, but I'll answer it anyway.

You need to start by seeing the way they were portrayed in cartoons, in writing (mainly newspapers), on the radio, in speeches and on the streets. Start with the Bible. The Old Testament was about the law mostly and behavior as much as anything. The people who lived and were governed by the OT generally were very pious unless they were rebellious sinners.

The New Testament is a slightly different matter. In most of Europe the peasantry thought the Jews were Christ Killers. That thought was dominent throughout the Middle Ages.  It isn't true. Jesus was a Jew, so were the disciples, so were the huge crowds that followed Him to at least hear what he had to say.

It was only the ruling classes (The Pharisees, the Sadducees, and the scribes and teachers), that were not fond of Jesus. But that fact was not emphasized. Out of that picture and the displacement of the Jews after the Temple was destroyed, grew the caricatures of what the Jews were.

Anti Semitism was quite common in Europe. Most people fell for the propaganda that said the Jews were the spawn of the Devil. It became easy to kill those that were felt to be evil.

I urge you to start your own study of what happened. Start with the Inquisition.