Find the solutions of each equation on the interval [0, 2π)

Answers

Answer 1

Answer/Step-by-step explanation:

Factor this. GCF=2

2(2cos2x+cos x-1)=0

2(2cos x -1)(cos x+1)=0 Set each factor equal to zero and solve

2cos x -1=0 Add 1 to both sides

2cos x =1 Divide by 2

cos x =1/2

x=π/3

x=5π/3

cos x+1=0 Subtract 1 from both sides

cos x=-1

x = π


Related Questions

0 - (-4) =
Please help

Answers

Answer:

4

Step-by-step explanation:

-(-a)=a

0+4

=4

[tex] \huge \purple{\tt{Answer:}} [/tex]

0-(-4)

= 0 + 4

= 4

a. Find the value of x
below

Answers

#The x side is same with 80° so

11x + 3 = 80°

11x = 80 - 3

11x = 77

x = 7

Answer : 7

Lizette earns $10 in gas money for driving to babysit and then earns $8 for each hour she
babysits the kids. How much money will she make for 5 hours of babysitting?

Answers

Answer:

$30

Step-by-step explanation:

8 x 5 = 40

40 - 10 = 30

the water supplied by a pump fills a drum of 200 liters in 20 seconds. what is the flow rate of this pump​

Answers

Step-by-step explanation:

Water filled in 20 second = 200 liters

Water filled in 1 second = 200 / 20 = 10 liters

The flow rate of the pump is 10 liters per second.

Hope it will help :)

Based on the water the pump supplies in 20 seconds, we can find that the flow rate of the pump is 10 liters per second.

The flow rate is essentially the amount of water the pump supplies per unit amount of time which in this case is seconds.

It can be calculated as:

= Amount of water supplied / Time supplied

= 200 / 20

= 10 liters per second

In conclusion, the pump has a flow rate of 10 liters per second.

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One number is 9 more than twice the other number. Their sum is 54. Find the numbers.

Answers

Answer: The Numbers are 15 and 39

Step-by-step explanation: 2(15) + 9 = 39

Lilly, Madelyn, Natalie, and Olivia each walked from their houses to the mall. Lilly walked 1/4 mile, Madelyn walked 3/8 mile, Natalie walked 5/6 mile, and Olivia walked 7/12 mile. what is the order of these distanced from least to greatest?

Answers

Answer:

1/4, 3/8, 7/12, 5/6

Step-by-step explanation:

First, change all the fractions so they have the same denominators. The least common denominator is 24. 1/4=6/24 3/8=9/24 5/6=20/24 7/12=14/24

Now, put them in order from least to greatest: 6/24, 9/24, 14/24, 20/24

Sandy spent 20% of x hours at her part-time job.What is x if 20% of x is about 26 hours?

Answers

26 divided by .20 therefore x is 130

Find the value of x if you solve one please say the question number and you dony have to show work

Answers

Answer:

question 1-- x=15

question 2-- x=21

1. x=15
2. x=21
3. x=42
4. x=26
5. x=14

12 more than the square of a number is the same as 7 times the number.

Answers

Answer: Sorry I don't know

Step-by-step explanation:

Please please give answer for this question

Answers

C, 16cm. Count along the edges for the number of lines.

Sorry if the picture is scuffed. Pls help fast

Answers

Answer:

C

Step-by-step explanation:

the domain would be all positive real numbers, including zero

A computer laboratory manager was in charge of purchasing new battery packs for her lab of laptop computers. She narrowed her choices to two models that were available for her machines. Since the models cost about the same, she was interested in determining whether there was a difference in the average time the battery packs would function before needing to be recharged. She took two independent samples and computed the following summary information: Battery Pack Model 1 Battery Pack Model 2Sample Size 9 9Sample Mean 5 hours 5.5 hoursStandard Deviation 1.5 hours 1.3 hoursUsing the null and alternate hypothesis:H0:mu1-mu2=0 vs. Ha: mu1-mu2 not equal 0Calculate the test statistic for this test.

Answers

Answer:

-0.756

Step-by-step explanation:

N1 = 9

N2 = 9

Sd1 = 1.5 hours

Sd2 = 1.3 hours

X1 = 5 hours

X2 = 5.5 hours

Hypothesis

H0: mu1 - mu2 = 0

H1 : mu1 - mu2 not equal to 0

Test statistic

t = (x1 - x2)/SE

SE is the standard error, which is unknown

SE = √sd1²/n1 + sd2²/n2

= √1.5²/9 + 1.3²/9

= √0.25+0.1878

= √0.4378

= 0.66166

t statistics = (5-5.5)/0.66166

= -0.5/0.66166

= -0.756

Solve 1∕4p + 5∕6 = 2∕3 for p.
Question 1 options:

A)

–1∕24

B)

3∕8

C)

–2∕3

D)

6

Answers

Answer:

C)  -2/3

Step-by-step explanation:

1/4p = 4/6 - 5/6

1/4p = -1/6

6p = -4

p = -4/6 or -2/3

800 liralık bir telefonun fiya-
tina %6 zam yapılıyor.
Yeni satış fiyatı kaç lira
olur?​

Answers

Answer:

8ile 6 yı çarp sonucu 800 ile topla 48+800= 848

ILL MARK U BRAINLEST Find the circumference of the circle. Use 3.14 for 1. Round to the nearest hundredth, if necessary.
is
9 in.
The circumference of the circle is about
inches.
1

Answers

Answer:

The answer is either 56.55in or 28.27

Step-by-step explanation:

This is the formula that I used

C=2πr

Circumference = 2·π·4.5 ≈ 28.27433 or

Circumference = 2·π·9 ≈ 56.54867

The answer can be either one. It depends on if 9 is the radius or the diameter of this circle. If 9 is the radius, then the answer would be 56.55in. If the radius isn't 9 but 9 is the diameter, then your radius would be 4.5 and the answer would be 28.27in.

Hope that helps :)

The circumference of the circle will be 56.52 inches.


What is a circumference?

The circumference of a circle can be found using the formula:

Circumference = 2πr

Where r is the radius of the circle, and π (pi) is a mathematical constant approximately equal to 3.14159.

If the radius of the circle is 9 inches, then we can substitute this value into the formula to find the circumference:

Circumference = 2π(9 inches)

Circumference = 18π inches

We can leave the answer in terms of π or approximate it using a decimal approximation for π. Using the value of π rounded to 3.14, we have:

Circumference ≈ 56.52 inches

Therefore, the circumference of a circle with a radius of 9 inches is approximately 56.52 inches or exactly 18π inches.

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Please help!!! Have been stuck on this problem for the past hour. can someone be so kind and explain it to me. I have a Quiz tomorrow on this. solving systems using substitution y = - 7y + 3; Y+ 7x = 10

Answers

Answer:

Step-by-step explanation:

y = -7x+3

substitute -7x+3 for y in the other equation.

y + 7x = 10

(-7x+3) + 7x = 10

3 = 10, a contradiction, so there is no solution.

If you were to graph both equations, you would see that they are parallel lines. There is no point that belongs to both lines, so there is no (x,y) that satisfies both equations.

Your starting equations are

y = -7y + 3 and
y + 7x = 10, is that correct? The previous response has an x in the first sentence, so I wanted to ask.


y = -7y + 3 simplified is
8y = 3
y = 3/8 (0.375 as a decimal)

If we sub 0.375 for y in the second equation, we can solve for x.

y + 7x = 10
0.375 + 7x = 10
7x = 9.625
x = 1.375

So y = 0.375 and x = 1.375

Checking the solution:
0.375 + 7(1.375)
= 0.375 + 9.625 = 10

and 0.375 = -7(0.375) + 3
0.375 = -2.625 + 3
0.375 = 0.375

Sarah is going to invest $8,600 and leave it in an account for 16 years. Assuming the
interest is compounded annually, what interest rate, to the nearest tenth of a percent,
would be required in order for Sarah to end up with $18,500?

Answers

Answer:

4.9%

Step-by-step explanation:

What is the AREA of the given circle?
62.83 in²
157.08in²
314.16 in²
628.32 in²

Answers

Answer:

314.16 in²

Step-by-step explanation:

Answer:

[tex]A[/tex] ≈ [tex]314.16[/tex]

Step-by-step explanation:

[tex]A=\pi r^2[/tex]

[tex]A = \pi (10)^2[/tex]

[tex]A = \pi (100)[/tex]

[tex]A[/tex] ≈ [tex]314.16[/tex]

NEED HELP ASAP!!!!!!!

Answers

Step-by-step explanation:

It's must be -3 ...............

A- g(x)=|x+5|+5
B-g(x)=|x-5|+5
C-g(x)=|x|+5
D-g(x)=|x-5|

Answers

Answer:

if anything, I would say C. I can't see the image too clearly, but I can see what you typed out

Step-by-step explanation:

please help 30 points !! in a proportional relationship when Y=2 when X=8 Which of the following equations would describe this relationship?

Answers

Answer:

(1)

Step-by-step explanation:

We will try:

(1) y = [tex]\frac{1}{4}[/tex]x => 2 = 2 (seems legit)

(2) y = 4x => 2 = 32 (nope)

(3) y = x - 6 => 2 = 2 (yes but actually no because it is proportional relationship)

(4) y = [tex]\frac{1}{2}[/tex]x - 2 => 2 = 2 (like the above)

Help ASAP Draw a tape diagram representing the following situation. You may need to decide what to present with a variable.
At an athletic banquet, an equal number of athletes were seaterd at each of the 7 large tables, and 24 parents were seated together on the other side of the room. There were 87 guests attending.

Answers

Answer:9

Step-by-step explanation:87-24=63 and 63 divided by 7 equals 9

Solve the inequality:
15 ≤ 3 − 2x

Answers

Divide both sides by  2

2.2      Subtract  6  from both sides

x ≤ -6

2.000 X  + 12.000  ≤  0

Answer: x ≤ -6

                 

T-shirts are on sale for 40% off. The original price per t-shirt is $20. What is the total cost, in dollars, of 8 of these t-shirts at the sale price, including an 11% sales tax?

Answers

Answer:

$106.56

Step-by-step explanation:

discounted price of each shirt is $12

12 x 8 = $96 for 8 shirt

96 x 1.11 = $106.56

does anybody know what to do here?

Answers

Answer:

m=6

Step-by-step explanation:

38+8m+4=90

42+8m=90

8m=90-42

8m=48

m=6

if a spider is 35 mm long. how many centimeters long is the spider?

Answers

Answer:

It is 3.5 cm long

Step-by-step explanation:

1 cm = 10mm

So divide 35 by 10

4+ 3/6 + 2/6! It’s zearn!!

Answers

Answer:

=29/6

Step-by-step explanation:

4+3/6+2/6

=4+1/2+2/6

=9/2+2/6

=9/2+1/3

=29/6

Answer:

4 5/6 = 29/6 = 4.833333333

Step-by-step explanation:

4+3/6+2/6

Reduce the fraction 3/6 to lowest terms by extracting and canceling out 3.

4+1/2+2/6

Convert 4 to fraction 8/2

8/2+1/2+2/6

Since 8/2 and 1/2 have the same denominator, add them by adding their numerators.

8+1 / 2 + 2/6

Add 8 and 1 to get 9.

9/2 + 2/6

Reduce the fraction 2/6 to lowest terms by extracting and canceling out 2.

9/2 + 1/3

Least common multiple of 2 and 3 is 6. Convert 9/2 and 1/3 to fractions with denominator 6.

27/6 + 2/6

Since 27/6 and 2/6 have the same denominator, add them by adding their numerators.

27+2 / 6

Add 27 and 2 to get 29.

29/6  

if 3/4 of a certain number is equal to 4 1/2, find the number

Answers

Answer:

6

Step-by-step explanation:

3/4x = 9/2

4/3 * 9/2 = 36/6

6

The number in the mathematical statement is 6

How to determine the number?

Let the number be x.

So, the equation can be represented as:

3/4 * x = 4 1/2

Express the fraction as an improper fraction

3/4 * x = 9/2

Multiply through by 4/3

x = 6

Hence, the number is 6

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What is the answer to - y¹⁵・- y¹² ?

Answers

Answer:

y^3

Step-by-step explanation:

- y^15-12

two negatives is a positive

The answer is -y^27
Bc according to the product rule you add the exponents when two numbers with the same base or in general are multipled

can someone pls just give me a simple answer -6(2z - 4) use Z = 3​

Answers

Answer:

12

ignore this i have to put words in to give u the answer

Answer:

-6 (this is easy math)

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