Show all steps necessary to verify the trigonometric identity:
1 - 2cos^2x = 2sin^2x - 1

Answer:

x = 29

Step-by-step explanation:

(6x-1) = (5x+28)

or, 6x-1 = 5x+28

or, 6x-5x = 28+1

or, x = 29

Answer:

bottom graph of left picture

Step-by-step explanation:

For each day he makes his bed, he earns $0.50

In 1 day he earns $0.50

In 2 days he earns $1.00

In 3 days, he earns $1.50

...

In 8 days, he earns $4.00

Look in the 4 graphs.

Which graph has the following points, (1, 0.5), (2, 1), 3, 1.5), ... , (8, 4)?

It is the second graph (bottom graph of left picture.)

Answer:

They are adding 2 by each number.

A set of numbers is a group of numbers that are related in one way or the other. The statement that best describes the set is:

The set of even numbers from 14 to 22

Given that:

[tex]Set = 14\ 16\ 18\ 20\ 22[/tex]

From the above set of numbers, we have the following observations

So, we can describe the set using the following statement:

The set of even numbers from 14 to 22

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Answer:  3

Step-by-step explanation:

Let x be the missing base. In this case, base to the power of 2 means this number x times itself will equal 9.

9 = [tex]x^{2}[/tex]

[tex]\sqrt{9}[/tex] = [tex]\sqrt{x^{2} }[/tex]  [use square root to cancel the power of 2].

[tex]\sqrt{9}[/tex] = x

x = 3

Check: [tex]3^{2}[/tex] = 3 x 3 = 9

Answer:

B

Step-by-step explanation:

Ed2021

Answer:

42

Step-by-step explanation:

The total surface area of the figure is 862ft²

The composite figure is made up of a pyramid and prism

Surface area of pyramid = 2(13*9) + (10*9) + (10*12)
Surface area of pyramid = 234 + 90 +120

Surface area of pyramid = 444ft²

For the rectangular prism

Surface area  = 2(11*9) + 2(10 * 11)

Surface area = 198 + 220
Surface area = 418ft²

Surface area of figure = 444 + 418

Surface area of figure = 862ft²

Hence the total surface area of the figure is 862ft²

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Answer:

(-9,4)

Step-by-step explanation:

Answer:

slope = -1/3

Step-by-step explanation:

x+3y=15

-x         3y=-x+15

divide by 3       y= -1/3x -5

Answer:

60

Step-by-step explanation:

A man purchase 5 dozen banana , find equation to find total number of banana and how many banana he have.

Total number of banana = 12 x 6

Total number of banana = 60

Answer:

The answer is 12. In 3 cups of chocolate, there are 12 1/4 cup in them.

Step-by-step explanation:

each 1 cup had four  1/4 cup in them. So 4 times 3 cups is 12.

There are 12 servings of 1/4 cup in 3 cups of chocolate.

The term "serving" typically refers to a specified portion or amount of food or drink that is recommended or commonly consumed at one time. It helps in providing a standard measurement for nutritional information and portion control.

To determine the number of 1/4 cup servings in 3 cups of chocolate, we need to calculate the total number of 1/4 cup servings that can be made from the given amount.

1. One cup is equal to 4 quarters (1 cup = 4 × 1/4 cup).

2. To find the number of 1/4 cup servings in 3 cups, multiply 3 cups by the conversion factor (4 × 1/4 cup) for each cup.

3 cups × (4 × 1/4 cup) = 3 cups × 1 cup = 3 cups

Therefore, there are 3 * 4 = 12 servings of 1/4 cup in 3 cups of chocolate.

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Answer:

You will be remembered as a bad student who failed a state test in 9th grade!

Hope it helps!

Answer:

It depends on the grade or school some schools let you retake the test if you fail it you might fail that class and take the same class for 10th

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

basic theory, can't explain further.

Answer: y=6

Step-by-step: 2(−6)+3=18 distributed into 2−12+3=18

Next, Combine Like Terms.

2−12+3=18

5−12=18

Wait oh, you wanted the. Oh. Well the distribution of it is 2y-12+3y=18. Sorry!

Answer:

10

Step-by-step explanation:

The sum of the measures of the angles of a triangle.is 180 degrees, so:

3x-2+8x-5+7x+7=180

18x=180

x=10

There are 10,626 ways of arranging the required offices from a body of 24 students.

Combination deals with the way in which a arrangement can be made from a particular lot. In  this case, we want to select  a president, minister of Arts, minister of PE department, and minister of Science from a body of 24 students.

Hence;

24C4 = 24!/4! (24 - 4)! = 24!/4!20!

So;

24 * 23 * 22 * 21 * 20!/20! * 4 * 3 * 2*1

= 24 * 23 * 22 * 21 / 4 * 3 * 2*1

= 10,626 ways

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Answer:

Choice c, 3.3

Step-by-step explanation:

To find out the vaule of X, we have to divided -9.24 by 2.8. We have to divided because when X and next to a number, it means to multiply, and the opposite of multiplication is division. To double check to determine whether or not the answer is correct, simply multiply -3.3 by 2.8 and you will get -9.24.

Answer:

B

Step-by-step explanation:

[tex]1\frac{1}{3}\times2\frac{1}{3}\\= \frac{4}{3}\times\frac{7}{3}\\= \frac{28}{9}\\= \frac{27+1}{9}\\=\frac{27}{9}+\frac{1}{9}\\=3+\frac{1}{9}\\=3\frac{1}{9}[/tex]yd²

The product of the slopes of this line and the line perpendicular to it is equal to -1.

Note that the slope if the coefficient of x.

Let

[tex] \alpha [/tex]

be the slope of the given line.

Let

[tex] \beta [/tex]

be the slope of the line perpendicular to it.

I can therefore say,

[tex] \alpha \times \beta = - 1[/tex]

[tex] \frac{ - 4}{3} \times \beta = - 1[/tex]

[tex] \beta = \frac{ - 1}{ \frac{ - 4}{3} } [/tex]

[tex] \beta = \frac{ - 3}{ - 4} = \frac{3}{ 4} [/tex]

The slope is 3/4

Answer:

40/50

Step-by-step explanation:

That’s the probability of him hitting them

Answer:

5/32 or 15.625

Step-by-step explanation:

I don't remember how I got the answer but it was just in my notes as the answer so yea. :]

Answer:

$6.30

Step-by-step explanation:

A sharpener is 0.90 in dollars, so 3*0.9 is 2.7. 10-2.7=6.3, so the answer should be $6.30

Answer:

I think it is 3600

Step-by-step explanation:

Answer:

≈ 69.08mm

Step-by-step explanation:

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

[tex]C=2$\pi$r[/tex], where r is the radius of the circle.

Let's solve for the circumference.

[tex]2*3.14=6.28[/tex]

[tex]6.28*11=69.08[/tex]

Therefore, the circumference is 69.08

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Answer:

$1.26

Step-by-step explanation:

total: 16.2 (3.24 * 5)

4.55 + 2.53 + 2.82 + 4.66 = 14.56

16.2 - 14.56 = 1.26

The price of the fifth item in W's bag is $1.55 if the mean price of all five items is $3.24.

A mean is one of the measures of central tendencies and is the average value of a group of observations. It is the ratio of the sum of all observations to the total number of observations.

The prices of the 4 items out of the 5 items W has bought are given as follows:

$4.55, $2.53, $2.82, $4.66

It is also given that the mean cost for each item is $3.24.

Let the price of the fifth item be x, then according to the question;

[tex]\dfrac{ 4.55+ 2.53+2.82+4.66+x}{5} = 3.24\\14.65 + x = 3.24 \times 5\\14.65 + x = 16.2\\x = 1.55[/tex]

Therefore, the price of the fifth item in the bag is $1.55.

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Answer:

Step-by-step explanation:

Consider what y values you are getting by letting x = 5 and then letting x = 6.

when x = 5 , y = 20

y = m*5

20 = m*5                      Divide by 5

20/5 = m/5                  

4 = m

when x = 6 y = 24

y = mx

24 = m*6                     Divide by 6

24/6 = m

m = 4

So now we can be sure of our solution for x when y = 32

y = m*n

32 = 4*n                      Divide both sides by 4

32/4 = 4*n/4

n = 8

Answer: n = 8

Answer:

1,3,5

Step-by-step explanation:

1-The first one because you move to the left one place value

2-the value is not 10 times greater it is ten times smaller because it moves to the right one value

3-yes, the 8 is ten times greater because it moved to the right one place value

4-This is not true because if it was 1/10th the value it needs to be ten times smaller, not ten times greater

5- this is true because it moves to the right by one place value

6- this is not true because it is ten times greater not ten times smaller

Hope this helps you out!

Answer: Triangle ADB is congruent to CBD

Step-by-step explanation:

S1: Try to measure the sides to look alike.

S2: Compare your answers to someone in your class!!!

Answer:

n > -1/4

Step-by-step explanation:

-28n < 7

Divide by -28 on both sides

-28/-28n < 7/-28

Flip the inequality symbol when dividing by a negative number.

n > -7/28

which simplifies to

n > -1/4

Answer:

n greater than or equal to -1/4

Step-by-step explanation:

The sale of the four different sizes is an illustration of the Goodness of Fit Tests

The expected counts for each size box are 0.8, 3.6, 36.6 and 4.05 respectively

The null hypothesis is always represented by the equality sign i.e. 0 change or no change.

While the alternate hypothesis is always represented by an inequality.

So, the null and the alternate hypotheses are:

This calculated as:

E(x) = np

So, we have:

Small = 8 * 10% = 0.8

Medium = 24 * 15% = 3.6

Large = 61 * 60% = 36.6

Jumbo = 27 * 15% = 4.05

Hence, the expected counts for each size box are 0.8, 3.6, 36.6 and 4.05 respectively

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