Solve the equation on the interval [0,2π).

8cos^2x+4cosx=0

Select all correct solutions.
0
π/3
π/2
2π/3
π
4π/3
5π/3
3π/2
11π/6

Answers

Answer 1

Answer:

π/2, 2π/3, 3π/2, 4π/3.

Step-by-step explanation:

8cos^2x+4cosx=0

4cosx(2cosx + 1) = 0

so cosx = 0, -1/2.

Therfore

When cos x = 0:

x = π/2, 3π/2

When cos x = -1/2:

x = 2π/3, 4π/3.

Answer 2

Answer:

π/22π/34π/33π/2

Step-by-step explanation:

TTT


Related Questions

For what value of x does 3 superscript 2 x baseline = 9 superscript 3 x minus 4?

Answers

Equations are expressions separated by equal sign. The value of x that make the expression equal is 2

Equation and expressions

Given the equation expressed as:

3^2x = 9^3x - 4

This can be further simplified as:

3^2x = 3^2(3x-4)

2x = 2(3x - 4)

x = 3x - 4

x - 3x = -4
-2x = -4

x = 2

Hence the value of x that make the expression equal is 2

Learn more on equation here:https://brainly.com/question/2972832

Answer: its 2

Step-by-step explanation: just took test on chrome 2022, and got 100%

Tell wether the angles are complementary or supplementary. Then find the value of X

Answers

Answer:

The angles are Complementary Angles.

x = 55°

Step-by-step explanation:

the angles are Complementary Angles, because when added, together they form a 90° angle.

•to find the value of x, we form the equation :

⇒90° = x° + (x - 20)°

⇒90 = x + x - 20

⇒90 = 2x - 20

•shifting the 2x to the left side and the 90 to the right side

⇒2x = 90 + 20

⇒2x = 110

•shifting the 2 to the right side

⇒x = 110/2

⇒x = 55° Answer...

hope that helps...

help! (answers needed fast and will give brainliest)

Answers

Answer:

13/20

Step-by-step explanation:

Note that:
Difference is the same meaning as subtract.

Given:

1 ¼ - ⅗

We first have to change 1 ¼ into a improper fraction:

1 ¼ = 5/4

5/4 - ⅗

Since the denominator are different we have to find common denominator.

25/20 - 12/20

Subtracting: 25 - 12 = 13

13/20

Hence, the different of these fractions is 13/20

Kavinsky

Which statement describes the expression 20+ ½ x (4 + 6) ?

A. Half of 4 added to six, Plus 20
B. The sum of 4 and 6 plus half of 20
C. Half the sum of 4 and 6 added to 20.
D. The sum of 4 and 6 plus 20 divided by 2​

Answers

The answer is c. Pemdas, parenthesis first, followed by multiplication and then the addition

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer: hii :)

Simplify the expression.

Step-by-step explanation: its c!

Exact Form:

4/5

Decimal Form:

0.8

Hopefully this helps you

- Matthew <3

what is the slope of a line
(a) where the line crosses at the y-axis
(b) the amount the line rises on the y-axis over the amount it moves horizontally on the x-axis
(c) where the line crosses at the x-axis
(d) where the line begins​

Answers

Answer:

the answer is (b), because

Step-by-step explanation:

rise over run

Answer:

B

because I

saw someone else say it was b

Step-by-step explanation:

I'm smart

Please help will give brainliest to whoever explains their answer correctly

Answers

100.56 inches squared. we find the surface area of the chocolate cylinder (150.8) and the surface area of a 2d circle with a 4 inch radius (50.24) and subtract 150.8 - 50.24 = 100.56

The ice skating rink charges an hourly fee for skating and $3 to rent skates for the day. Gillian rented skates and skated for 3 hours and was charged $21. Which equation represents the cost, c(x), of ice skating as a function of x, the number of hours of skating?

c(x) = 3x + 3
c(x) = 6x + 3
c(x) = 7x + 3
c(x) = 8x + 3

Answers

Answer:

c(x) = 6x + 3

Step-by-step explanation:

c(x) = 6x + 3

he skated for 3 hrs and was charged $21

c(3) = 6(3) + c(3) = 18 + 3

c(3) = 21

correct....so it is c(x) = 6x + 3

p.s please mark this question as brainleist

Thx

answer:

B) c(x) = 6x + 3

explanation:

Gillian rented skates, which costs $3. Now you must subtract that from your total as the next step is to find how much the hourly fee for skating is. $21 - $3 = $18. $18 was the total price for three hours of skating so to find how much the hourly rate is, you divide it by 3. $18/3 = 6. Therefore it is $6 per x amount of hour(s) plus $3 for skates, or simply put, c(x) = 6x +3.

The square of a number added to 3 times the number is 28. Find the number.

Answers

Answer:

[tex]\sqrt{x}[/tex]+3x=28

that is the equation :)

help pls!!!! ASAPPPPPP

Answers

Answer:eht sistep 2 and step 4 is the correct answer

Step-by-step explanation:

Mr.Santino needs A total of 406 Forks restaurant. He currently has 302 forks. If each cell has 12 forks which is the minimum number of sets of forks you should buy?

Answers

It can buy as much as it is already considering Mr.Santino because he has the amount done

Drag each pair of rates to the correct location on the table.
Identify the pairs of rates as equivalent or not equivalent
hand

18/3 and 9/1

20/5 and 3/1

36/6 and 6/1

32/4 and 8/1

35/7 and 5/1

100/10 and 5/1

Answers

1/8 is in it 3/2 if that is it

What is the length of the missing leg? If necessary, round to the nearest tenth

Answers

Answer: 48

Step-by-step explanation:

Translate the point A (-3,4) right 5 up 1

Answers

Answer:

(2,5)

Step-by-step explanation:

-3+5=2 and 4+1=5

Tino works at a retail clothing store as a sales clerk and part of his paycheck is based on commission, meaning that it is determined by the value of the clothes that he sells. Each week, he earns $7 an hour plus 15% of his total sales. If Tino works for 18 hours and sells $538 in clothes in a certain week, what is the amount of his commission? What is his total pay for that week?

Answers

Answer:

$206,7

Step-by-step explanation:

The dot plot represents the length of practice time in minutes for the math competition. Explain how the outlier of the data affects the statistical summary of the data.


Select the answers from the drop-down menus to complete the statements.


The mean practice time

Choose... (decreases, increases, does not change)

because of the outlier.


The median practice time

Choose... (decreases, increases, does not change)

because of the outlier.


The range

Choose... (decreases, increases, does not change)

because of the outlier.

Answers

Using statistical concepts, it is found that:

The mean practice time decreases because of the outlier.The median practice time does not change because of the outlier.The range increases because of the oulier.

What are the mean, the median and the range of a data-set?

The mean is the sum of all observations divided by the number of observations.The median is the middle value, the value that separates the upper 50% from the bottom 50%.The range is the difference between the largest value and the smallest.

From their concepts above, we have that the mean and the range are influenced by outliers.

In this problem, the outlier is at the low end, of 15, hence:

The mean practice time decreases because of the outlier.The median practice time does not change because of the outlier.The range increases because of the oulier.

More can be learned about statistical concepts at https://brainly.com/question/24732674

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Can someone please help me with this?? Thanks :)

Answers

Answer:

m<2=60

m<1=120

m<3=120

Step-by-step explanation:

Since m<4=60 that transfers to m<2 also because they are equal. To find the other to angles you have to subtract 60 from 180 because m<1 and m<4 create a straight line that equals 180. That then also transfers to m<3.

Thank you have an amazing day.

Which is the equation of a hyperbola with directrices at x = ±2 and foci at (6, 0) and (−6, 0)? x squared over 12 minus y squared over 24 equals 1 x squared over 12 minus y squared over 48 equals 1 y squared over 12 minus x squared over 24 equals 1 y squared over 48 minus x squared over 12 equals 1

Answers

The equation of a hyperbola with directrices at x = ±2 and foci at (6, 0) and (−6, 0) is y squared over 48 minus x squared over 12 equals 1.

What is the equation of hyperbola?

The equation of the hyperbola is the equation which is used to represent the hyperbola in the algebraic equation form, with the value of center point in the coordinate plane and foci.

The standard form of the equation of the hyperbola can be given as,

[tex]\dfrac{(y-k)^2}{b^2}-\dfrac{(x-h)^2}{a^2}=r^2[/tex]

Here (h,k) is the center of the hyperbola, (b) is the transverse axis, and (a) is the conjugate axis.

The foci of the hyperbola is,

[tex](h,k\pm c)[/tex]

The directrix is,

[tex]y=k\pm \dfrac{a^2}{c}[/tex]

A hyperbola is given with directrices at x = ±2 and foci at (6, 0) and (−6, 0). Thus, the directrix is,

[tex]y=k\pm \dfrac{a^2}{c}\\\pm 2=k\pm \dfrac{a^2}{c}\\\dfrac{a^2}{6}=2\\a^2=12\\[/tex]

It is known that,

[tex]a^2+b^2=c^2\\[/tex]

Put the value of a and c,

[tex](12)+b^2=6^2\\b^2=36-12\\b^2=24[/tex]

The value of center is (0,0). Thus, the equation of hyperbola is,

[tex]\dfrac{(y-0)^2}{24^2}-\dfrac{(x-0)^2}{12^2}=1\\\dfrac{y^2}{24^2}-\dfrac{x^2}{12^2}=1[/tex]

Thus, the equation of a hyperbola with directrices at x = ±2 and foci at (6, 0) and (−6, 0) is y squared over 48 minus x squared over 12 equals 1.

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divide. give the quotient and remainder 295/4

Answers

Answer:73 and remainder of 3

Step-by-step explanation:

295/4=73 and a remiander of 3

Answer:

The quotient is 73 and the remainder is 3

Step-by-step explanation:

295/4 = 73.75 you can take 73 for the quotient. Then do 295 - 73*4 = 3 to calculate the remainder.

Think it likes 12/4 = 3 => 12 - 3*4 = 0

Help me on this inequality please!

Answers

Answer:

w ≤ 5

Step-by-step explanation:

-2w ≥ -10

-2w / -2 ≥ -10 / -2

The -2 cancels each other out and -10 divided by -2 is 5. When divding an inequality by a negative number you MUST flip the sign.

w ≤ 5

Abby used the law of cosines for trianglekmn to solve for k. k2 = 312 532 – 2(31)(53)cos(37°) triangle k n m is shown. the length of k n is 53, the length of n m is k, and the length of k m is n. law of cosines: a2 = b2 c2 – 2bccos(a) what additional information did abby know that is not shown in the diagram? manglek = 37° and n = 31 manglek = 37° and k = 31 manglen = 37° and n = 31 manglen = 37° and k = 31

Answers

Answer:

(A) mK = 37° and n = 31.

Step-by-step explanation:

The following are A of ed.

12 divided by 32.5 I know there’s a simple math problem but I just need help

Answers

0.36923077 or you can round to 0.370

help pleaseeeeee will ark brainliest

Answers

Answer:40

Step-by-step explanation:

Your correct and final answer for this question is 40

(✿◕‿◕✿) Pls mark me Brainiest (✿◕‿◕✿)

I’m really stuck on this question

Answers

Answer:

The answer is 13

Step-by-step explanation:

Subtract

98  -  85   =

13°

Not sure how to explain it but It’s 180-98= 82 so you do 180-(82+85) = 13 so the angle is 13 degrees

Which statement about the function is true? the domain of the function is all real numbers less than or equal to −2. the domain of the function is all real numbers less than or equal to 9. the range of the function is all real numbers less than or equal to −2. the range of the function is all real numbers less than or equal to 9.

Answers

The statement which is true about the function is the range of the function is all real numbers less than or equal to 9.​

What is domain and range of function?

The Domain of a function is the set of all the possible input values which are valid for that function.

Range of a function is the set of all the possible output values which are valid for that function.

The function shown in the graph can be given as,

[tex]f(x)=-x^2-4x+5[/tex]

The one coordinate point of this equation is -2, 9, which is shown in the graph. At the value of x as -2, the value of f(x) is 9,

[tex]f(-2)=-(-2)^2-4(-2)+5\\f(-2)=-4+8+5\\f(-2)=9[/tex]

Here, the input value is -2 and the output value is 9. The domain for this function is all real number, but the range of this function is (-∞,9).

Hence, the statement which is true about the function is the range of the function is all real numbers less than or equal to 9.​

Learn more about the domain and range of the function here;

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Answer:

its literally D bro on edge

Step-by-step explanation:

DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD

Abby is collecting rainfall data. She finds that one value of the data set is a high-value outlier. Which statement must be true?
Abby will use a different formula for calculating the standard deviation.
The outlier will increase the standard deviation of the data set.
The spread of the graph of the data will not change.
Abby will not use the mean when calculating the standard deviation.

Answers

When Abby finds that one value of the data set is a high-value outlier, the true statement is B. The outlier will increase the standard deviation of the data set.

What is an outlier?

It should be noted that an outlier simply means a number in a data set that is further out from the other numbers.

In this case, when Abby finds that one value of the data set is a high-value outlier, the true statement is that the outlier will increase the standard deviation of the data set.

Learn more about outlier on:

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Answer:

The outlier will increase the standard deviation of the data set.

Step-by-step explanation:

HELP ME
Gia collected data on the weights, in ounces, of five newborn puppies. The weights are shown in the list below.


5, 6, 7, 11, 11


Which statement regarding the mean, median, and range of the weights of the puppies is true?

Group of answer choices

The median is greater than the mean, and the range is 6.

The mean is greater than the median, and the range is 6.

The median is greater than the mean, and the range is 11

The mean is greater than the median, and the range is 11.

Answers

Answer:Mean is greater than the median and the range is 6

Step-by-step explanation: Mean is the average 5+6+7+11+11/5 = 8

Mode is the number occurring most 11

Median is the middle number 7

Range is the highest -lowest 11-5=6

Answer: Mean is greater than the median and the range is 6.

Find the missing length of the triangle.



a= in.

Answers

Answer:

9 in.

Step-by-step explanation:

a^2 + 5.6^2 = 10.6^2

a^2 + 31.36 = 112.36

Subtract 31.36 from both sides

a^2 = 81

Squart Root both sides

a = 9 inches

Answer:

a = 11.9883 in

Step-by-step explanation:

Sides:

a = 5.6 in

b = 11.9883 in

c = 10.6 in

Angles:

A = 27.8476 °

B = 90 °

C = 62.1524 °

Other:

P = 28.1883 in

s = 14.0942 in

K = 29.68 in2

r = 2.10584 in

R = 5.99416 in

SAS is Side, Angle, Side

Given the size of 2 sides (c and a) and the size of the angle B that is in between those 2 sides, you can calculate the sizes of the remaining 1 side and 2 angles. Use The Law of Cosines to solve the remaining side.

Law of Cosines

If a, b and c are the lengths of the legs of a triangle opposite to the angles A, B and C respectively; then the law of cosines states:

a^2 = c^2 + b^2 - 2bc cos A,   solving for cos A,   cos A = ( b^2 + c^2 - a^2 ) / 2bc

b^2 = a^2 + c^2 - 2ca cos B,   solving for cos B,   cos B = ( c^2 + a^2 - b^2 ) / 2ca

c^2 = b^2 + a^2 - 2ab cos C,   solving for cos C,   cos C = ( a^2 + b^2 - c^2 ) / 2ab

Solving, for example, for an angle, A = cos^-1 [ ( b^2 + c^2 - a^2 ) / 2bc ]

Help please!!! At a baseball game, a vender sold a combined total of 236 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.

Answers

Answer:

56 hotdogs, 168 sodas.

Step-by-step explanation:

# of sodas sold = s

# of hotdogs sold = h

224 sodas and hotdogs = s + h

3h = s

224 = h + s

Plug in one equation into the other one, like 3h = s into h + s

h + s = 224 and s = 3h so...

h + (3h) = 224

4h = 224

h = 224/4 = 56

56 hotdogs were sold

And since s = 3h...

The number of sodas sold is 3 times 56 = 168 sodas.

56 hotdogs, 168 sodas.

Answer:

56 hotdogs, 168 sodas.

Step-by-step explanation:

have great day

what is the area of a 14cm square?

Answers

Answer:

196 sq cm

Step-by-step explanation:

that's all I can say really

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