Factor 64b-16c to identify the equivalent expressions. *

Recall the double angle identity:

[tex]\sin2\theta=2\sin\theta\cos\theta[/tex]

With [tex]\theta[/tex] measuring between 0º and 90º, we know [tex]\cos\theta>0[/tex]. So from the Pythagorean identity, we get

[tex]\sin^2\theta+\cos^2\theta=1\implies\cos\theta=\sqrt{1-\sin^2\theta}=\dfrac{\sqrt{21}}5[/tex]

Then

[tex]\sin2\theta=2\dfrac25\dfrac{\sqrt{21}}5=\dfrac{4\sqrt{21}}{25}[/tex]

Answer:

C

Step-by-step explanation:

Edge2021

Answer:

If your were rounding 7.987 to the tenths place, you would get 8.

To round to the tenths place, you are trying to make the number enda tthe tenths place.

You are rounding the 9 in the tenths place, so look at the hundredths place. Since 8 is larger than 5, round the 9 up to 10.

We can't write 7.10 because that is a different number, so add the 1 to the 7 to get 8.

The final answer would be 8.0 or just 8.

Answer:

The sample size required is 2188.

Step-by-step explanation:

The (1 - α)% confidence interval for the population proportion is:

[tex]CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The margin of error for this interval is:

[tex]MOE= z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The information provided is:

X = 162

n = 462

MOE = 0.02

Assume the confidence level as 95%.

Compute the sample proportion as follows:

[tex]\hat p=\frac{X}{n}=\frac{162}{462}=0.351[/tex]

The z-critical value for 95% confidence interval is:

[tex]z_{0.025}=1.96[/tex]

Compute the sample size required as follows:

[tex]MOE= z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

      [tex]n=[\frac{z_{\alpha/2}\times \sqrt{\hat p(1-\hat p)}}{MOE}]^{2}[/tex]

         [tex]=[\frac{1.96\times\sqrt{0.351(1-0.351)}}{0.02}]^{2}\\\\=2187.781596\\\\\approx 2188[/tex]

Thus, the sample size required is 2188.

Answer:

i think it is the first one

Step-by-step explanation:

A unit rate is a ratio between two different units with a denominator of one. When we divide a fraction's numerator by its denominator, the result is a value in decimal form. Examples include 8 / 4 = 2 and 3 / 6 = 0.5

Answer:

450.00

Step-by-step explanation:

Answer:

B

A

C

Step-by-step explanation:

Simply the inequalities

y - 13 > -85

y > -85 + 13

y > -72

Graph B is the solution

13 < -85 + y

y > 13 + 85

y > 98

Graph A is the solution

y + 13 < -85

y < -85 -13

y < -98

Graph C is the solution

Answer:

B A C

Step-by-step explanation:

Answer:

The discriminant of 3x^2-10x=-2 is 76

Step-by-step explanation:

3x^2-10x+2=0

Where a = 3, b = -10, and c = 2

The discriminant of 3x^2-10x=-2 is 76

Answer: 76

Hope this helps.

Answer:

x = 15

Step-by-step explanation:

2(x - 8) = 14

Use distributive property

2x - 16 = 14

2x = 30

x = 15

First, classify each line segments of triangle that are the same in both triangles.

RS = XU

RT = XW

ST = WU

Second, divide to find the scale ratio.

7.5/3 = 2.5

16/6.4 = 2.5

15/6 = 2.5

Since the scale ratios are identical, the triangles are similar.

Therefore, the answer is [ Yes, the sides are in the ratio 2:5 ]

Best of Luck!

Answer:

3

Step-by-step explanation:

a5 = a* r^4 ( from general formular of a GP)

= 243 * (1/3)^4 =. 243 * 1/81 = 3

The required 5th term in the geometric sequence is 3.

For geometric sequence a = 243 and r = 1/3.
fifth term to be determine.

Geometric progression is sequence of series whose ratio with adjacent values remains same.

Here, a = 243 and r = 1/3.
fifth term = [tex]ar^{n-1}[/tex]
              = [tex]243*(1/3)^{5-1}[/tex]
              = [tex]243*(1/3)^4[/tex]
              = 243 * 1/81
              = 3

Thus, the required 5th term in the geometric sequence is 3.
           

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Answer: 0.2994

Step-by-step explanation: I subtracted them and got the answer

Answer:

[tex] P(X=3)[/tex]

And replacing we got:

[tex]P(X=3)=(4C3)(0.3)^3 (1-0.3)^{4-3}=0.0756[/tex]

Step-by-step explanation:

Let X the random variable of interest "number of times that we select a blue ball", on this case we now that:

[tex]X \sim Binom(n=4, p=3/10)[/tex]

The probability is always the same since we replace the ball selected in each trial.

The probability mass function for the Binomial distribution is given as:

[tex]P(X)=(nCx)(p)^x (1-p)^{n-x}[/tex]

Where (nCx) means combinatory and it's given by this formula:

[tex]nCx=\frac{n!}{(n-x)! x!}[/tex]

And we want to find this probability:

[tex] P(X=3)[/tex]

And replacing we got:

[tex]P(X=3)=(4C3)(0.3)^3 (1-0.3)^{4-3}=0.0756[/tex]

Answer:

6

Step-by-step explanation:

6 + x + y = 20

Subtract 6 from each side

x+y = 20-6

x+y = 14

x + y = k

14 = k

we want to find 20 -k

20 - 14

6

Answer:6

Step-by-step explanation:

Answer:

636 million miles.

Step-by-step explanation:

672 minus 36 is 636. (Because they're both in the millions, you can just subtract their face values).

Since they have the same term (million) we simply subtract 672 and 36, then add million to the answer. 636 million miles is the difference in distance.

Answer:

c+8 = 24

16 children

Step-by-step explanation:

Let c = number of children

8 more than

c+8

is means equals

c+8 = 24

Subtract 8 from each side

c+8-8 = 24-8

c = 16

Answer:

B. 48

Step-by-step explanation:

just took the test <3

Answer:

mArc FH = 48

Step-by-step explanation:

Hey there!

We have 10 pieces of paper. The probability of drawing a 10 is 1/10.  Therefore, if we were to draw ten times, the ten should probably be drawn once. If we multiplied our number of drawings by four (10*4=40), our outcome of seeing our slip with the ten should also quadruple and become four times. (1*4=4)

I hope that this helps! Have an awesome day!

The question is incomplete:

The function f(t) represents the cost to connect to the Internet at an online gaming store. It is a function of t, the time in minutes spent on the Internet.  The function f(t) is attached.

Which statement is true about the Internet connection cost?

It costs $5 per hour to connect to the Internet at the gaming store,

The first half hour is free, and then it costs $5 per minute to connect to the Internet,

It costs $10 for each 90 minutes spent connected to the Internet at the gaming store,

Any amount of time over an hour and a half would cost $10,

Answer:

Any amount of time over an hour and a half would cost $10.

Step-by-step explanation:

-It costs $5 per hour to connect to the Internet at the gaming store. False, if you connect between 31 and 90 minutes it costs $5 but it is not a per hour cost.

-The first half hour is free, and then it costs $5 per minute to connect to the Internet. False, the first half hour is free and it costs $5 when you spent connected more than 30 minutes and less or equal 90 minutes.

-It costs $10 for each 90 minutes spent connected to the Internet at the gaming store. False, according to the function 90 minutes cost $5 and if you spend more than 90 minutes, it costs $10.

-Any amount of time over an hour and a half would cost $10. True. An hour and a half is equal to 90 minutes and according to the function, if you spent more than 90 minutes connected, it costs $10.

According to this, the statement that is true about the Internet connection cost is: Any amount of time over an hour and a half would cost $10.

Answer:

C

Step-by-step explanation:

Answer:

U=-23

Step-by-step explanation:

-713=13u

-713/13=-23

Answer:

a) If the sum of the balls is a factor of 30, eat at Joe's Place. If the sum is not a factor of 30, eat at Taco Towne.

Step-by-step explanation:

The sum table can be represented as :

           1       2      4      7      8

1           X     3       5      8      9

2           3     X       6      9    10

4           5      6      X      11     12

7           8      9       11     X      15

8           9      10      12    15     X

The Probability sum  is a factor of 30 = P(sum is  3, 5, 6, 10, 15)

= [tex]\dfrac{2}{20} +\dfrac{2}{20}+\dfrac{2}{20}+\dfrac{2}{20}+\dfrac{2}{20}[/tex]

= [tex]\dfrac{10}{20}[/tex]

= [tex]\dfrac{1}{2}[/tex]

The Probability sum less than 10 = P(sum is 3,5,8,9,6)

= [tex]\dfrac{2+2+2+4+2}{20}[/tex]

= [tex]\dfrac{3}{5}[/tex]

The probability sum is even = P( sum is 6,8,10, 12)

= [tex]\dfrac{2+2+2+2}{20}[/tex]

= [tex]\dfrac{8}{20}[/tex]

= [tex]\dfrac{2}{5}[/tex]

The probability sum is a multiple of 3 = P( sum is 3,6,9,12,15)

= [tex]\dfrac{12}{20}[/tex]

= [tex]\dfrac{3}{5}[/tex]

since the probability that is the sum of the ball is a factor of 30 is [tex]\dfrac{1}{2}[/tex] , Thus, the probability that the sum is not a factor of 30 will also be [tex]\dfrac{1}{2}[/tex] . Thus; the description that  accurately explains how a fair decision can be made in this situation is option A.

a) If the sum of the balls is a factor of 30, eat at Joe's Place. If the sum is not a factor of 30, eat at Taco Towne.

Step-by-step explanation:

Hello there, because you did not attached the photo or the information of the diameter of the circle, so I will solve this type of question under a general form

Let's assume d is the diameter of the circle

=> the perimeter of the circle is: dπ

=> the perimeter of the half arc of a circle

= 1/2 perimeter of the circle

= 1/2dπ

Hence, the perimeter of the stage shaped like a semi-circle:

=  the perimeter of the half arc of a circle + the diameter

=  1/2dπ + d

= 3/2dπ

Just substitute d into the above expression, you will find out the answer.

Hope it will find you well.

Answer:

109.59m^3

Step-by-step explanation:

Hope you would understand from the attachment; attachment is a bit blurred at the moment so can't attach it at the moment...not much lightning at my end.

Volume is that of the suppose big pyramid - the suppose small pyramid.

The angle is 45degrees from my calculation.

Volume of big pyramid = (256√2 )/3

Volume of small pyramid= (32√2)/3

256√2 )/3-(32√2)/3= (224√2)/3

The volume of the given trapezoidal prism is 84 m³

A trapezoidal prism is a three-dimensional solid consisting of two identical trapezoidal faces joined together by four rectangular faces.

Given is a trapezoidal prism, we need to find its volume,

So, the volume will be given by = area of the trapezoid x length

= (8+4)x3.5 / 2 x 4

= 84

Hence the volume of the given trapezoidal prism is 84 m³

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Answer:

165 %

Step-by-step explanation:

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 30 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 30, so we can write it down as 100%=30.

4. We know, that x% equals 49.5 of the output value, so we can write it down as x%=49.5.

5. Now we have two simple equations:

1) 100%=30

2) x%=49.5

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=30/49.5

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.5 is what percent of 30

100%/x%=30/49.5

(100/x)*x=(30/49.5)*x - we multiply both sides of the equation by x

100=0.60606060606061*x - we divide both sides of the equation by (0.60606060606061) to get x

100/0.60606060606061=x

165=x

x=165

now we have:

49.5 is 165% of 30

Please can I get brainliest I worked hard for you

Hope I helped you

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First, you'd work out the centre value

It would be the opposite value to what is in the brackets

Thus, the centre value is (2, -4)

Plot this value on a graph

In order to find the radius, you must square root the 25

Thus, the radius would be 5

Plot some points with a radius of 5 from the centre and then draw the circle

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Answer:

18 napkins

Step-by-step explanation:

If the restaurant gives 3 napkins for every 5 items ordered, and there's 30 items... you must divide 30 by 5 which is 6. Then, multiply 6 by 3. Therefore the answer is 18.

[tex]30 \div 5 = 6[/tex]

[tex]6 \times 3 = 18[/tex]

Hope this helped:)

Answer:

18 napkins

Step-by-step explanation:

Answer:

218

Step-by-step explanation:

456 - 238 =

Borrow 1 from 5 so number is 4 4  16 - 238=

16-8 = 8 in ones' place

4 - 3 = 1 in tens' place

4 - 2 = 2 in hundreds' place

The difference between 456 and 238 is 218.

To regroup and solve the subtraction problem 456 - 238, you can follow these steps:

1. Begin by writing down the two numbers vertically, with the larger number (456) on top and the smaller number (238) below it:

     456

   - 238

2. Start by subtracting the ones (or units) column.

Since 6 is larger than 8, you need to regroup.

Borrow 1 ten from the tens column of 5. This will make the 5 in the tens column become 4, and you add the borrowed ten to the ones column. So, the subtraction becomes 16 - 8, which equals 8:

     456

   - 238

   -------

      8

3. Next, move to the tens column.

Subtract 4 (the regrouped value) from 5, which equals 1:

     456

   - 238

   -------

    1  8

4. Finally, subtract the hundreds column. Subtract 2 from 4, which equals 2:

     456

   - 238

   -------

   2 1  8

Therefore, the difference between 456 and 238 is 218.

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Answer: x=-14

Step-by-step explanation:

If the line is perpendicular to the x-axis, that means it is parallel to the y-axis. All lines that are parallel to the y-axis have the form x=. Since we know the line passes through the x value of -14, that means the equation of the line is x=-14.

Answer: The answer is in the steps

Step-by-step explanation:

M                h

15               40

20              45

25               50

30                55

Answer:

55 inches.

Step-by-step explanation:

So, in the question above we are given the following data or parameters or information which will assist us in solving this kind of question efficiently. Here are the information needed below;

(1). "Television sizes are labeled by the measure of the diagonal.''

(2). "47.5 inches up top and the side is 27 inches" which are the length and the breadth respectively. Therefore, we will make use of the formula below In solving this question;

Size of the Television = √[(Length of the Television)^2 × (breadth of the television)^2].

Hence, the size of the Television = √( 47.5)^2 + (27)^2. = 54.63744137494.

Approximately:

The Size of the Television = 55 inches.

Answer:

you need 4 bricks

Step-by-step explanation:

Answer:748.66 cubic centimeters

Step-by-step explanation: don’t have it