Identify the terminal point for a 45° angle in a unit circle.
O A (231)
O B.
O c.
V2 72

Identify The Terminal Point For A 45 Angle In A Unit Circle.O A (231)O B.O C.V2 72

Answers

Answer 1

Answer:

D

Step-by-step explanation:

x- coordinate = cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex]

y- coordinate = sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex]

That is ( [tex]\frac{\sqrt{2} }{2}[/tex] , [tex]\frac{\sqrt{2} }{2}[/tex] ) → D


Related Questions

Suppose g(x) = f( x +2) - 3. Which statement best compares the graph of g(x) with the graph of f(x)? A. The graph of g(x) is shifted 2 units left and 3 units up. B. The graph of g(x) is shifted 2 units right and 3 units down. C. The graph of g(x) is shifted 2 units left and 3 units down. D. The graph of g(x) is shifted 2 units right and 3 units up.

Answers

Given:

The function is:

[tex]g(x)=f(x+2)-3[/tex]

To find:

The statement that best compares the graph of g(x) with the graph of f(x).

Solution:

The transformation is defined as

[tex]g(x)=f(x+a)+b[/tex]                .... (i)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

We have,

[tex]g(x)=f(x+2)-3[/tex]               ...(ii)

On comparing (i) and (ii), we get

[tex]a=2[/tex]

[tex]b=-3[/tex]

Therefore, the graph of g(x) is shifted 2 units left and 3 units down.

Hence, the correct option is C.

7. Ten samples of 15 parts each were taken from an ongoing process to establish a p-chart for control. a. Develop a p-Chart for 95 percent confidence (1.96 standard deviation). b. Based on the plotted data points, what comments can you make

Answers

Answer: Hello the table related to your question is attached below

answer:

a) attached below

b) The process is out of control because two ( 2 ) values from the defect rate table are out of the control limits at 95% as seen in the p-chart in question ( A )

Step-by-step explanation:

a) p-chart for 95% confidence

std = 1.96

Total defects = ∑ number of defective items in the sample = 10

number of samples = 10

sample size ( n ) = 15

The P value for the process is calculated as :

Total defects / ( number of sample * sample size )

= 10 / ( 15 * 10 ) = 10 / 150 = 0.067

standard deviation ( σ ) = [tex]\sqrt{\frac{p(1-p)}{n } } = \sqrt{\frac{0.067(1-0.067)}{15} }[/tex]  =  0.065

next we determine the limits ( i.e. upper and lower )

UCL = p + zSp = 0.067 + 1.96(0.065 ) = 0.194

LCL = p - zSp = 0.067 - 1.96(0.065) = -0.060 ≈ 0 ( because LCL ≠ negative)

attached below is the required p-chart

b) The process is out of control because two ( 2 ) values from the defect rate table are out of the control limits at 95% as seen in the p-chart in question ( A )

SAT scores are normally distributed with a mean of 1,500 and a standard deviation of 300. An administrator at a college is interested in estimating the average SAT score of first-year students. If the administrator would like to limit the margin of error of the 88% confidence interval to 15 points, how many students should the administrator sample? Make sure to give a whole number answer.

Answers

Answer:

The administrator should sample 968 students.

Step-by-step explanation:

We have to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.88}{2} = 0.06[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a p-value of [tex]1 - 0.06 = 0.94[/tex], so Z = 1.555.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Standard deviation of 300.

This means that [tex]n = 300[/tex]

If the administrator would like to limit the margin of error of the 88% confidence interval to 15 points, how many students should the administrator sample?

This is n for which M = 15. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]15 = 1.555\frac{300}{\sqrt{n}}[/tex]

[tex]15\sqrt{n} = 300*1.555[/tex]

Dividing both sides by 15

[tex]\sqrt{n} = 20*1.555[/tex]

[tex](\sqrt{n})^2 = (20*1.555)^2[/tex]

[tex]n = 967.2[/tex]

Rounding up:

The administrator should sample 968 students.

Choose the equation below whose axis of symmetry is x = 0.

a. y = x2 + 2x
b. y = x2 – 16x + 58
c. y=x2+2
d. y = x2 - 4x + 2

Answers

the answer is c. y=x2+2

Simplify: –3(y + 2)2 – 5 + 6y.

Answers

Answer:

-17

Step-by-step explanation:

–3(y + 2)2 – 5 + 6y

(–3y -6)2 – 5 + 6y

-6y -12 - 5 + 6y

-17

d is none of the above , and yes

Answers

Answer:

[tex] = 2 {}^{2} - 3(2) = - 2 \\ 3 {}^{2} - 3(3) = 0 \\ 4 {}^{2} - 3(4) = 4 \\ 5 {}^{2} - 3(5) = 10[/tex]

The first term of an A.P is -8.the ratio of the 7th term to the 9th term is 5:8.calculate the numbers

Answers

Answer:

The 7th term is 10 and the 9th term is 16

(and the common difference d = 3)

Step-by-step explanation:

If by calculate the numbers, you mean the 7th term and 9th term, first, you will determine the common difference.

The nth term of an A.P is given by the formula

Tₙ= a+(n-1)d

Where Tₙ is the nth term

a is the first term

and d is the common difference

From the question,

a = -8

T₇ : T₉ = 5:8

From the formula

T₇ = a + (7-1)d = a + 6d

and T₉ = a + (9-1)d = a + 8d

Then.

a + 6d : a + 8d = 5:8

But a = -8

∴ -8 + 6d : -8 + 8d = 5:8

We can write that

(-8 + 6d) / (-8 + 8d) = 5/8

Cross multiply

8(-8+6d) = 5(-8+8d)

-64 + 48d = -40 + 40d

48d - 40d = -40 + 64

8d = 24

d = 24/8

d = 3

∴ The common difference is 3

Now, for the 7th term

From

T₇ = a + 6d

T₇ = -8 + 6(3)

T₇ = -8 + 18

T₇ = 10

and for the 9th term

T₉ = a + 8d

T₉ = -8 + 8(3)

T₉ = -8 + 24

T₉ = 16

Hence, the 7th term is 10 and the 9th term is 16

In an experiment, you choose to have two randomly assigned groups. In one, you take measurements both pretest and posttest; with the second, a posttest-only measure. This describes which task of conducting an experiment

Answers

Answer:

The answer is "Specific treatment levels".

Step-by-step explanation:

When we experimenting with 'level' which is related to the quantity or magnitude of treatment. For this part of an experiment or study, a group or individual is exposed to a specified set of circumstances. For example: If four categories are exposed to different doses of a given drug, then each dose reflects a level of a treatment factor in the model.

State whether the equations provided are true or false and why

Answers

Answer:

a) true

b) false

c) false

Step-by-step explanation:

remember: if a negative exponent is in the numerator, move the expression to the denominator and make the exponent positive and if a negative exponent is in the denominator, move the expression to the numerator and make the exponent positive

a explanation- 7a x 1/b^3 = 7a/b^3

b explanation- z^-5/12 = 1/12z^5

c explanation- 1/-7x^-1 = -7x

... please give brainliest if you can :)) ...

Find the missing segment in the image below

Answers

It should be 75c if I’m not mistaken

Help!!????
Please!!!????

Answers

Answer:

true

mark me brainist if it comes out to be true

Answer:

The answer is TRUE.

Step-by-step explanation:

Question 6 of 11 Step 1 of 6 No Time Limit The table below gives the list price and the number of bids received for five randomly selected items sold through online auctions. Using this data, consider the equation of the regression line, û = bo + bjx, for predicting the number of bids an item will receive based on the list price. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant.
Price in Dollars 23 34 44 46 50
Number of Bids 1 2 4 9 10
Step 1 of 6: Find the estimated slope. Round your answer to three decimal places.​

Answers

The estimated slope is approximately 2.344

The given table is presented as follows;

[tex]\begin{array}{ccc}Number \ of Bids &&Price \ in \ Dollars\\1&&23\\2&&34\\4&&44\\9&&46\\10&&50\end{array}[/tex]

The regression line formula to be considered = [tex]\bar u = b_0 + b\cdot \bar x[/tex]

The required parameter is;

The estimated slope

The method to find the estimate slope;

The least squares regression formula (method) is presented as follows;

[tex]\bar u = b_0 + b\cdot \bar x[/tex]

Where;

b₀ = The y-intercept

[tex]\mathbf{ b = \dfrac{\sum \left(x_i - \bar x\right) \times \left(u_i - \bar u\right) }{\sum \left(x_i - \bar x\right )^2 } = The \ estimated \ slope}[/tex]

From MS Excel, we have;

[tex]\bar x[/tex] = 5.2, [tex]\bar u[/tex] = 39.4

[tex]\sum \left(x_i - \bar x\right) \times \left(u_i - \bar u\right)[/tex] = 156.6

[tex]{\sum \left(x_i - \bar x\right )^2 }[/tex] = 66.8

Therefore;

The estimated slope, b = 156.6/66.8 ≈ 2.344 (by rounding the answer to three decimal places)

Learn more about regression line here;

https://brainly.com/question/23528764

Cho hệ vectơ:
X1=(2;1;0;1); X2=(1;1;0;-1); X3=(0;-1;2;2); X4=(1;0;2;1)
a) Xét xem hệ vectơ trên độc lập tuyến tính hay phụ thuộc tuyến tính.
b) Biểu diễn vectơ X 4 qua các vectơ còn lại.

Answers

Answer:

i dont no the ans

Step-by-step explanation:

What error, if any, did Noah make?

Answers

Answer:

breathing, jk buddy

Step-by-step explanation:

8 thousand+7tens=6thiusand+. tens​

Answers

Answer:

207 tens

Step-by-step explanation:

If you mean

8,000 + 70 = 6000 + X tens

then it should be 207 tens

Anyone?? Help????
Please!!!

Answers

Answer:

625 (answer A)

Step-by-step explanation:

Sorry for no explanation I can't explain stuff I just do it.

Please help!
What is the pattern,
Y-interception
And equation

Answers

Answer: y=1x+1

Step-by-step explanation:

y=1x+3

that should be it

Which of the following could NOT be the value of a correlation coefficient?
Select one:
a. 0.98
b.-0.76
c. -1.00
d. 1.34

Answers

Answer:

1.34 cannot be a correlation coefficient

Step-by-step explanation:

The correlation coefficient must be between (and can include) -1 to 1

1.34 is not  between -1 and 1

A patient is supposed to have 800 mL every 24 hours. You kmow that the patiemt has three fourths of the fluid between breakfast 8am and dinmer 6pm. How much should be injested between 8am and 6pm?

Answers

Answer: 600 ml

Step-by-step explanation:

The patient has 3/4 out of 800 milliliters of fluid. To find how much they take in, multiply 3/4 * 800.

3/4 *800= 2400/4

simplify 2400/4

= 600

write your answer in simplest radical form​

Answers

Answer:

x = 2 yd

Step-by-step explanation:

Angles of 45 degreees = two congruent legs

for the Pythagorean theorem

2x^2 = 8

x^2 = 4

x = 2

Your answer is below
Step by step explanation
If yu dont understand then post yur question again
Hope it helps yu

Question 6 plz show ALL STEPS

Answers

Step-by-step explanation:

6a. Both the x and y coordinates are negative so this means isn't must be in the Third Quadrant.

6b. The measure of this using the unt circle is

[tex] \cos(x) - \frac{1}{2} [/tex]

[tex] \sin(x) = - \frac{ \sqrt{3} }{2} [/tex]

In the unit circle, this occurs about

an angle of 240 degrees. We can find coterminal angles within the interval of 2 pi to -2 pi. Just subtract 260 from theta.( which is 240)

[tex]240 - 360 = - 120[/tex]

So the angles in the interval is

240, -120.

6c. pi/2 is the same as 90 degrees so this means that

[tex](240 + 90) = 330[/tex]

In the unit circle, we know that at 330 degrees,

[tex] \cos(330) = \frac{ \sqrt{3} }{2} [/tex]

[tex] \sin(330) = \frac{1}{2} [/tex]

So the coordinates are

(sqr root of 3/2, 1/2).

6d. pi is the same as 180 degrees so this means that

[tex](240 - 180) = 60[/tex]

In the unit circle, we know that 60 degrees,

[tex] \cos(60) = \frac{1}{2} [/tex]

[tex] \sin(60) = \frac{ \sqrt{3} }{2} [/tex]

So the coordinates are

(1/2, sqr root of 3/2)

help please i’ll give brainliest

Answers

Answer:

b

Step-by-step explanation:

b intercepts the y axis

Mary takes out a loan for $6,000 at a simple interest rate of 12% to be paid back in 36 monthly instalments. What is the amount of her monthly payments?

Answers

Answer:

$199.29

Step-by-step explanation:

Total payments = $7,174.24

Total interest = $1,174.24

HELP ASAP!!!! i need the answer immediately

Answers

Answer:

Option C, half the circumference, or πr

Answered by GAUTHMATH

Cho X có phân phối nhị thức với n= 20 và p=0,4. Kỳ vọng của X là:
A.4
B.6
C.8
D.10

Answers

Step-by-step explanation:

[tex]10 \: is \: the \: answer[/tex]

Given parallelogram RUST and m< RUT=43, what other angle has the same measurement

Answers

9514 1404 393

Answer:

  (b) ∠STU

Step-by-step explanation:

Transversal UT between parallel sides RU and ST creates alternate interior angles RUT and STU. These are congruent.

  ∠STU has the same measure as ∠RUT

_____

The figure shown is a trapezoid, not a parallelogram.

[tex]\sqrt{4+\sqrt{4+\sqrt{4+...+\sqrt{4}[/tex]

Answers

Answer:

y=0.5+sqrt(17)

Step-by-step explanation:

Let y=sqrt{4+sqrt{4+...+sqrt(4)}

y=sqrt(4+y). (Since it's an infinite series)

y^2=4+y, y=0.5-sqrt(17) or 0.5+sqrt(17). We will omit the negative since root values are positive.

It takes 12 people 15 hours to complete and certain job.how many hours would it take 18 people, working at the same rate to complete 2/5 of the same job?

Answers

Answer:

2 Hours

Step-by-step explanation:

Required man hours to complete the full job = 12 *15

                                                                           =180 Man hours

Required man hours to complete the 2/5 of the job = 180/5

                                                                                      = 36 Man hours

if 18 peoples are working,

required hours to complete the 2/5 of the job = 36 /18

                                                                            = 2 hours

Is the following equation graph a linear function a non linear function and or a relation

Answers

Answer:

Step-by-step explanation:

Functions are always relations, but not every relation is a function. This passes the vertical line test so it is a function. Since it's not a line, it's not linear. B is your choice.

A zookeeper published the following stem-and-leaf plot showing the number of lizards at each major zoo in the country:

0
1
2
3
4
5
6


0
6
8
8
8
0
2
6
6
7
8
1
2
6
6



















00
10
20
30
40
50
60




















0
0
0
0
1
0
0


6
2
2


8
6
6


8
6
6


8
7
0


0
8


0


Key:
2



0
=
20
2∣0=202, vertical bar, 0, equals, 20 lizards
How many zoos have more than 26 lizards

Answers

do you have a picture or something ? this isn’t helping me.
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