3 x 1/2 in fraction form

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:

[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:

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:

54,000 teenagers

Step-by-step explanation:

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

Answer:

u

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

One repetad linear

Step-by-step explanation:

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:

Step-by-step explanation:

-3(2x-7) + 2y + 2 (x+y)

-6x+42 + 2y + 2x + 2y

Take the same coefficents and subtract or add

-6x + 2x= -4x

2y + 2y= 4y

Answer:

B)

Step-by-step explanation:

Answer:

B) [tex]3.87[/tex]×[tex]10^{8}[/tex]

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:

34°

Step-by-step explanation:

90-56=34°

__________

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:

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:

8(y+ 5) =3

Step-by-step explanation:

Answer:

Hi, there your answer will 12

2+7+3=12

Have a nice day

Step-by-step explanation:

Answer:

Step-by-step explanation:

I added it up XD Thanks for the points.

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:

1,814,400

Step-by-step explanation:

the formula would be: nPr / x_1 ! x_2!....

since there are 2 O's and it is a 10-LETTER ARRANGEMENT, the equation would now be:

10P10 / 2!

10P10 would simplify down to 10! so you would have :

10! / 2!

if you simplify this above: you would get 1,814,400

Answer:

B. cos B = 9/41

Step-by-step explanation:

I calculated it logically

Answer:

b

Step-by-step explanation:

cos B = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{9}{41}[/tex] → b

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:

A

Step-by-step explanation:

this is true due to the ratio of a 30-60-90 triangle, which is 1-2-sqrt(3). The 12 corresponds to the sqrt(3), which means that the 1 corresponds to 4sqrt3 and the 2 to 8sqrt3.

:)

Answer:

x = 135

Step-by-step explanation:

m = length of perpendicular line to hypotenuse

81/m = m/144

m² = 81 x 144 = 11664

m =√11664 = 108

Using the Pythagorean theorem:

x² = 81² + 108² = 6561 + 11664 = 18225

x = √18225 = 135

9514 1404 393

Answer:

  x = 135

Step-by-step explanation:

Side x is the geometric mean of the hypotenuse segments it touches.

  x = √(81×(81+144)) = √81×√225 = 9×15

  x = 135

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:

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:

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: