Find the exact values of all 6 trigonometric function for theta=240 degrees

Answers

Answer 1

Answer:

Step-by-step explanation:

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A high school student took two college entrance exams, scoring 1070 on the SAT and 25 on the ACT. Suppose that SAT scores have a mean of 950 and a standard deviation of 155 while the ACT scores have a mean of 22 and a standard deviation of 4. Assuming the performance on both tests follows a normal distribution, determine which test the student did better on.
You read that a study is planned for which a test of hypothesis will be done at significance level α = 0.10. Statisticians have calculated that for a certain effect size, the power is 0.7. What are the probabilities of Type I and Type II errors for this test?
Determine which statements are true in the set of real numbers3. (Select all that apply.) (a) Two lines parallel to a third line are parallel. (b) Two lines perpendicular to a third line are parallel. (c) Two planes parallel to a third plane are parallel. (d) Two planes perpendicular to a third plane are parallel. (e) Two lines parallel to a plane are parallel. (f) Two lines perpendicular to a plane are parallel. (g) Two planes parallel to a line are parallel. (h) Two planes perpendicular to a line are parallel. (i) Two planes either intersect or are parallel. (j) Two lines either intersect or are parallel. (k) A plane and a line either intersect or are parallel. Incorrect: Your answer is incorrect.
Which equation best represents the line in the graph
Can someone help me out on this ASAP??

how many pounds of chamomile tea that costs 18.20 per pound must be mixed with 12lb of orange tea that costs 12.25 per pound to make a mixture that costs 14.63 per pound

Answers

8 pounds of chamomile tea must be mixed to make a mixture that costs 14.63 per pound.

Step-by-step explanation:

We are given the following in the question:

Chamomile tea:

Unit cost = 18.20 per pound

Amount = x pounds

Total cost =

$18.20* x = 18.20x$

Orange tea:

Unit cost = 12.25 per pound

Amount = 12 pounds

Total cost =

$12.25* 12 = 147$

Total mixture:

Unit cost = 14.63 per pound

Amount = (12+x) pounds

Total cost =

$14.63* (12+x) = 175.56 + 14.63x$

We can write the equation that cost of mixture is equal to cost of chamomile tea and orange tea.

$18.20x + 147 = 175.56 + 14.63x\n\Rightarrow 18.20x- 14.63x = 175.56-147\n\Rightarrow 3.57x = 28.56\n\Rightarrow x = 8$

Thus, 8 pounds of chamomile tea must be mixed to make a mixture that costs 14.63 per pound.

The speed of light is about 1.9 x 10^5 miles per second. It takes about 500 seconds for light to travel from the Sun to Earth.What is the approximate distance between Earth and the Sun?
A 3.8 x 10^2 miles
B 9.5 x 10^6 miles
C 9.5 x 10^7 miles
D 95 x 10^7 miles

Answers

We are 93,000,000 miles away from the sun. The answer should be 9.3 x 10^7.

(5/6 + 2/3) - (3/4 + 1/12)

Answers

(5/6 + 2/3) - (3/4 + 1/12
= 9/6 - 10/12
= 18/12 - 10/12
= 8/12
= SIMPLIFY: 2/3

Hope this helps!!

Answer: 5/6

Step-by-step explanation:

Let's start by making 2/3 more easier to subtract by multiplying the numerator and denominator by 2.

$(2)/(3)$ x $(2)/(2)=(4)/(6)$

Now it's 5/6+4/6 which is 9/6

for the 3/4 multiple the numerator and denominator by 3

$(3)/(4)$ x $(3)/(3) =(9)/(12)$

9/12-1/12=8/12

we can divide the numerator and denominator by 2

$(8)/(12)$ ÷ $(2)/(2) =(4)/(6)$

9/6-4/6=5/6

Consider a colony of E.Coli bacteria that is growing exponentially. A microbiologist finds that, initially, 1,000 bacteria are present and 50 minutes later there are 10,000 bacteria. a) Find expression for the number of bacteria Q(t) after t minutes. b) When will there be 1,000,000 bacteria?

Answers

Answer:

a) $Q(t)=Q_(0)e^((ln10/50)t)$

b) 150min

Step-by-step explanation:

a) Using the formula for colony growth $Q(t)=Q_(0)e^(kt)$ we need to find the specific value of k, to do this you'll use the time, initial and final number of colonies provided in your problem.

$Q(t)=Q_(0)e^(kt)\n\n10000=1000e^(k(50)) \n\n(10000)/(1000)=e^(50k) \n\n10=e^(50k)\n ln(10=e^(50k))\n\nln10=50k\n\nk=ln10/50\n\nQ(t)=Q_(0)e^((ln10/50)t)\n\n$

b) Once we have our expression we only have to use our final and initial number of bacteria to find t.

$Q(t)=Q_(0)e^((ln10/50)t)\n\n\n1000000=1000e^(0.046t)\n 1000=e^(0.046t)\nln( 1000=e^(0.046t))\nln1000=0.046t\nt=ln1000/0.046\nt=150 minutes$

I hope you find this information useful! good luck!

The sum of three consecutive numbers is 318. What is the third number in the series?

Answers

Answer:

106

Step-by-step explanation:

x + x + 1 + x + 2=318

3x + 3=318

3x=318-3

3x=315

x=104 1st number

3rd no=104 + 2 = 106

HELP ME PLEASE I DO NOT UNDERSTAND PLEASE THANK YOU HAVE A GOOD DAYa.) Draw a rectangular prism with these dimensions: 3 units x 9 units x 27 units.

b.) Draw a net of the rectangular prism and label each face with its surface area.

c.) Use the net of the rectangular prism to find the surface area of the solid.

Answers

You can draw a rectangular prison not to scale and just label these on the prism length= 3 width= 9 and height =27
Then you would draw a net the rectangular prism like if you were to unfold it then use the calculation from a and solve for the surface area
Then you add the surface areas together I believe sorry if I get this wrong and it should be the surface area of everything

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Carmen has 1.50$ in a coffee can She is going to place a quarter in the can every day for x days. If she does not remove any of the money, which expression below represents the total amount of money, indollars, that she will have in the can after x days?

A sample of n = 100 scores is selected from a population with mu = 80 with sigma= 20. On average, how much error is expected between the sample mean and the population mean?