Which of the lines shown above has a negative slope?
(1)A
(2)B
(3)C
(4)D
(5)E

Answer:

We know that:

csc(x) = 1/sin(x)

Now we want to work with:

2csc(x+y)

The first step is:

2csc(x+y)= 2/sin(x-y)

This is correct so far.

Now we need to use the relation:

sin(a + b) = sin(a)*cos(b) + sin(b)*cos(a)

Then:

sin(x - y) = sin(x)*cos(-y) + sin(-y)*cos(x)

sin(x) is an odd function, then: sin(-y) = -sin(y)

and cos(x) is an even function, then:

cos(-y) = cos(y)

Then we get:

sin(x - y) = sin(x)*cos(y) - sin(y)*cos(x)

then:

2/sin(x-y) = 2/(sin(x)*cos(y) - sin(y)*cos(x))

Now let's look at what she did:

2/sin(x-y) = 2/(cos x cos(-y)+sin xsin(-y))

Here is her error, she replaced:

sin(x - y) by cos x cos(-y)+sin(x)sin(-y)

This relation is for the cosine function, not the sine one, so here is her mistake.

Answer:

[tex]sin(\alpha -\beta )\neq cos \alpha[/tex] [tex]cos\beta +sin\alpha[/tex] [tex]sin\beta[/tex]

Step-by-step explanation:

I just did the test

Answer:

-3(3+20w)

Step-by-step explanation:

Factor the expression

Answer:

5. 3/5-2/5=1/5; answer is 1/5

6.7/10-3/10=4/10; answer is 2/5(simplify)

7.5/6-4/6=1/6; answer is 1/6

8.3/4-2/4=1/4; answer is 1/4

Step-by-step explanation:

Explanation is above, when subtracting fractions remember that the denominator must be the same and you can subtract the numerator.

Hope this helps!

Answer:

5. 2/5 - 1/5 =1/5

6. 4/10 - 3/10 =1/10

7. 1/6 - 4/6 = -3/6

8. 1/4 - 2/4 = -1/4

Step-by-step explanation:

Answer:

Mean: 12.857

Median: 13

Mode: 15

Range: 9

Step-by-step explanation:

First, let's define what each of these terms mean.

Mean is the average of all the numbers in a set of data. Median is the number in the middle of a set of data after being put in ascending order. Mode is the number most frequently seen in a set of data. Range is the difference between the largest and the smallest number in a set of data.

First, let's go ahead and put all our terms in ascending order. It'll look like this: 8, 10, 12, 13, 15, 15, 17.

To find our mean, we'll add up all the terms and divide them by how many there are. First, we'll add up 8 + 10 + 12... and so on for a total of 90. Next, we'll divide 90 by 7 since there are 7 different terms in our set. 90 / 7 should roughly give you a mean of 12.857, but you can round it as needed.

Next, we'll find the median. The median is the number that is in the exact middle of a set once the terms are put in ascending order. Since, we put our terms in order already, we can see that the number in the middle of our set is 13, and I underlined it in the set to give you a visual!

Next, we'll find the mode. The mode is the number most frequently seen in our set of data. Since 15 is listed the most frequently (twice) it is our mode!

Finally, we'll find the range. The range is just the biggest number minus the smallest number. Our biggest number here is 17, and our smallest number here is 8. Just do 17 - 8 for a range of 9. Let me know if you have any other questions!

Answer:

choice 4) Acute

Answer: 16 units

Since both Y Values are the same, look at the X values. 10 and -6. How far apart is 10 from -6? (10 - (-6) = 16)

16 units, good luck!

9514 1404 393

Answer:

  f(1) = -2

Step-by-step explanation:

Put 1 where x is and do the arithmetic.

  f(1) = -4·1 +2

  f(1) = -4 +2

  f(1) = -2

Answer:

The range is 34!

Step-by-step explanation:

87-53=34

Answer:

34

Step-by-step explanation:

Hope this helps.

Answer:

-6p+9q

Step-by-step explanation:

Multiply -3 with 2p and multiply -3 with 3q.

Answer:

plot 1 on the y axis first, go up one point, to the right 3, then keep this pattern going

Step-by-step explanation:

next plug in x values (1/3x)

D= domain, which is located on the x axis

for this reason, substitute D values for x

Answer:

4 ( 3 a + 4 )

Step-by-step explanation:

Answer: C

Step-by-step explanation:

-3 is least than -2

Answer:

D. Would be your answer :)

Step-by-step explanation:

i like your pfp, taiga is so cute ^^

Answer:

B. showing that AD^2 + DC^2 = AC^2

Step-by-step explanation:

Pythagorean theorem formula: a^2 + b^2 = c^2

^^^^thats all i know, i got the answer from my teacher tho lol

Answer:

The prices of the two stocks will be the same in 1.56 hours.

Step-by-step explanation:

The price of Stock A at 9 A.M. was ​$12.95 Since​ then, the price has been increasing at the rate of ​$0.12 each hour.

This means that after x hours, the value of Stock A is:

[tex]S_{A}(x) = 12.95 + 0.12x[/tex]

After noon:

Noon is 3 hours after 9 AM, so

[tex]S_{A}(3) = 12.95 + 0.12*3 = 13.31[/tex]

So in x hours after noon, the value is given by:

[tex]S_{A}(x) = 13.31 + 0.12x[/tex]

At noon the price of Stock B was ​$13.70. It begins to decrease at the rate of ​$0.13 each hour.

This means that after x hours, the value of Stock B is:

[tex]S_{B}(x) = 13.70 - 0.13x[/tex]

In how many hours will the prices of the two stocks be the​ same?

This is x for which:

[tex]S_{A}(x) = S_{B}(x)[/tex]

[tex]13.31 + 0.12x = 13.70 - 0.13x[/tex]

[tex]0.25x = 0.39[/tex]

[tex]x = \frac{0.39}{0.25}[/tex]

[tex]x = 1.56[/tex]

The prices of the two stocks will be the same in 1.56 hours.

Answer:

-2x-11y-13 so D

Step-by-step explanation:

Answer: 3x

Step-by-step explanation:

*Remember BIDMAS*

b- brackets i- Indices (exponents) d- division m- multiplication a- addition s- subtraction

(*Reminder* exponents can be written on a keyboard like 2 squared is 2^2)

you need to follow these steps to be able to solve any equation

if there is no brackets like yours then add to make it easier

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

From the steps I showed you indices is first so 3x multiplied by 3x is 9x  

now there is nothing left except for subtraction so solve from left to right always so 9x - 4x - 2 is 5x then 5x - 2 is 3x, x doesn’t change or gets subtracted.

i hope it helped :)

Answer:

19

Step-by-step explanation:

product is the answer of multiplying two numbers together

342/18=19

check

19x18=342

Answer: just multiple the numerator and denominator by the same number

Step-by-step explanation:

Answer:

0.4 pounds

Step-by-step explanation:

10 pounds / 25 square feet

to get the number of pounds per feet

10 / 25 = 0.4

so, your answer is 0.4 pounds per 1 square foot

9514 1404 393

Answer:

  (2/3)(e^t +1)^(3/2)

Step-by-step explanation:

Use the substitution ...

  u = e^t +1

Then du = e^t and you are finding the integral of ...

  ∫u^(1/2)·du

which you know by the power rule is ...

  (2/3)u^(3/2) = (2/3)(e^t +1)^(3/2)

Answer:

its b on edge 2020

Step-by-step explanation:

Answer: 44sq

Step-by-step explanation:

Trust me :)

Answer:

1:1.5

Step-by-step explanation:

i dont know if thats the answer u want but ye

Answer:

5 x 1/5 = 1 whole

The key word "of" means multiplication.