log x = log(x + 3) - log(x - 1)

Recall the double angle identities:

cos(2θ) = 1 - 2 sin²(θ)

sin(2θ) = 2 sin(θ) cos(θ)

With some rewriting, we can get

cos(4θ) - cos(2θ) = 2 cos²(2θ) - 1 - cos(2θ) = (2 cos(2θ) + 1) (cos(2θ) - 1)

and

sin(4θ) + sin(2θ) = 2 sin(2θ) cos(2θ) + sin(2θ) = sin(2θ) (2 cos(2θ) + 1)

The numerator and denominator both share a factor of 2 cos(2θ) + 1; canceling them leaves us with

(cos(2θ) - 1) / sin(2θ)

Replace cos(2θ) = 1 - 2 sin²(θ) and sin(2θ) = 2 sin(θ) cos(θ) :

((1 - 2 sin²(θ)) - 1) / (2 sin(θ) cos(θ))

-2 sin²(θ) / (2 sin(θ) cos(θ))

- sin(θ) / cos(θ)

- tan(θ)

so the answer is C.

Answer:

(cos4θ-cos2θ)/(sin4θ+sin2θ)

C. -tanθ is your answer.

Answer:

188

Step-by-step explanation:

4 x 47=188

Answer:

C

Step-by-step explanation:

When you add all rentals together you should get 125, after this you see what the problem is asking, in our case, the probability of not renting a drama, as said, our total is 125. When we look at how many dramas have been rented you get 25, simply, you divide 125 by 25, therefore you should get 5, so now, we know that there is a 1/5 possibility for getting it but because its not 5/5.

Thus, there should be 4/5 which is the probability of it not getting chosen.

Answer:

270 miles

Step-by-step explanation:

because MATH

Answer:

Step-by-step explanation:

If it goes 220 meters and has made 100 revolutions that means that each revolution is 220 meters / 100 = 2.2 meters.

That's the same thing as saying that the wheel has a circumference of 2.2 meters.

Circumference = 2*pi * r = pi * d

2 = pi * d

2 = 3.14 * d

2/3.14 = d

d = 0.6369 meters

Answer:

Step-by-step explanation:

608,000

you go to thousands look next number left and round up or down and the rest after the thousands becomes zeros

Answer:

Step-by-step explanation:

5 is 71

and 9 is 109

5 and 1 are the same

Answer:

The answer is 1.65

Step-by-step explanation:

−2.25−(−3.9)

=−2.25−(−3.9)

=−2.25+3.9

=1.65

Answer:

im not exactly sure if im right but i think it is the 1st option

Step-by-step explanation:

Answer:

Following are the solution to the given question:

Step-by-step explanation:

The data provided  

Statistics descriptive: data  

Sum of total  

Variable Count Mean StDev Variance Sum Squares

Data [tex]1\ \ 12 \ \ 1.6810 \ \ 0.00429 \ \ 0.00002 \ \ 20.1720 \ \ 33.9093[/tex]

Null hypothesis: [tex]H_o: \mu= 1.68[/tex]

The alternative hypothesis: [tex]H_1 : \mu \neq 1.68[/tex] (The tailed two test)

Answer:

make a proportion:

                        90% - 76.50$

original price is 100% - x$

x=76.50$*100%/90%=85$

Answer: original price is 85$

Step-by-step explanation:

Answer:

4.6x+15

Step-by-step explanation:

The rate that the gas is being filled into the tank is 4.6x. The gas that is already within the tank at the start of filing is 15 gallons therefore the answer is y=4.6x+15

hope this helps!

-HM

Answer:

if correct please name me brainliest and thanks 26 2/3 + (-9 10/15)

Step-by-step explanation:

Answer:

The fraction is 1/6.

Step-by-step explanation:

In two hours, there are six 20 minute intervals. One interval of them would be 1/6.  

Answer:

Choice A is correct.  

Step-by-step explanation:

A function, by definition, only maps one output to one input.  You can't have multiple outputs to one input.  All the other choices do that, Choice A doesn't.

Answer:

A

Step-by-step explanation:

A function is where there are none of the x-intercepts are repeated. Answer A each has 4 x-intercepts, but none of them are repeated. All the other answers (B, C, and D) have an x-intercept that is repeated.

Hope this helps <3

Answer:

The new carpet for the master room will cost $379.30

Step-by-step explanation:

The bedroom is a rectangle of dimensions:

[tex]4\sqrt {3}+6\sqrt {3}=10\sqrt {3}~ft[/tex]

[tex]6\sqrt {6}~ft[/tex]

Thus, the area of the master bedroom is:

[tex]A=10\sqrt {3}~ft*6\sqrt {6}~ft[/tex]

Multiply the coefficients and the arguments:

[tex]A=60\sqrt {18}~ft^2[/tex]

Calculating:

[tex]A=254.56~ft^2[/tex]

The carpet unit cost is $1.49 per square foot, thus the total cost of the new carpet is:

$1.49*254.56=$379.30

The new carpet for the master room will cost $379.30

Answer:

167.94 feet

Step-by-step explanation:

576.54 - 408.6 = 167.94

I hope this helped, please mark Brainliest, thank you!

Answer:

Cheyenne's moutain is 167.94 feet taller than her grandmothers

Step-by-step explanation:

Cheyenne's moutain is 167.94 feet taller than her grandmothers moutain and the grandmothers moutain is 167.94 feet smaller than cheyenne's. All You have to do to find the answer is to subtract 576.54 from 408.6 and your answer will be  167.94

(Pls give brainliest if u dont mind :D)

Work Shown:

5^6 = 5^(3+3)

5^6 = 5^3*5^3

5^6 = 125*125

In the second step, I used the rule a^(b+c) = a^b*a^c

Answer:

14

Step-by-step explanation:

Range = Maximum value - minimum value

          = 6 - (-8)

          = 6 + 8

           =  14

Answer:

8- -5 -3 -2 0 1 4 6

Answer:

M=3/4     B=-5

Step-by-step explanation:

The slope has an x attached to it and usually comes first while the y-intercept is the number that is after the x and always keep the plus or minus for +/-

Answer:

Would you want us to do all of it?

Step-by-step explanation:

Answer:

1) 15x + 3y = 27 in slope-intercept form.

→y=-5x+9

→m =-5

→b =(0,9)

2) 15x − 3y = 12 in slope-intercept form.

→y =5x-4

→m =5

→b =(0,-4)

3) 2y = 16 in slope-intercept form.

→y =8

→m =0

→b =(0,8)

Answer:

Distance traveled after 20 rotations = 1306.24 inches

Step-by-step explanation:

r = 10.4 inches

Distance traveled in one rotation = Circumference of the car tire

Circumference of the car tire = 2πr

                                                 = 2 * 3.14 * 10.4

                                                = 65.312 inches

Distance traveled after 20 rotations = 65.312 * 20

                                                            = 1306.24 inches

Answer:

35

Step-by-step explanation:

x2 + 2y ÷ 2W + 3z

plug in the numbers

5(2) + 2(8) ÷ 2(2) + 3(3)

solve and use order of operations

=35

Answer: 3500 pounds

Step-by-step explanation:

Captain Hook: the "2" in the ratio. He got 1000 pounds of treasure so we write a ratio:

2:1000 = 1:500

John Silver: the "7" in the ratio. The ratio then becomes:

1(7):500(7) = 7:3500. His treasure weighs 3500 pounds

Lmk if you have any more questions :DD

Answer:

3500

Step-by-step explanation:

We are given:

The time-traveller has 79 books, but he can only take 5 books

since we need to find the number of ways he can choose 5 books, we know that the order in which he takes the books does NOT matter

Hence, we will use combination

Finding the number of ways:

Since we will use combination, ₇₉C₅

We know that the formula for combination is  (n!) / (r!(n-r)!)

₇₉C₅  = 79! / 5!(74!)

₇₉C₅ = 22,537,515

Therefore, the time traveller can choose 5 books in 22,537,515 different ways

Answer:

the answer and explanation is there in the picture above as I found it hard to answer through text.

don't mind my messy handwriting...

I was writing fast.

Step-by-step explanation:

i hope this helps...

please give me brainliest if you find my answer helpful...

thank you and have a great day ahead :)

Answer:1

Step-by-step explanation:

you have to put the 1 infornt of the .10 if youre adding 10% more

Answer:

y = 15,000(1.10)x

Step-by-step explanation:

The equation y = 15,000(1.10)x represents the population of panda bears over time. In this equation, "y" represents the population, "15,000" represents the initial population of panda bears, and "1.10" represents the growth rate of 10% per year. The variable "x" represents the number of years.

By raising the growth rate of 1.10 to the power of "x" (the number of years), we account for the compounding effect of the growth rate over time. This equation allows us to calculate the population of panda bears after a specific number of years by multiplying the initial population (15,000) by the growth rate (1.10) raised to the power of the number of years.

For example, if we wanted to find the population after 5 years, we would substitute "x" with 5 in the equation:

y = 15,000(1.10)^5

This would give us the population of panda bears after 5 years, taking into account the annual growth rate of 10%.

Answer:

A and E

Step-by-step explanation:

2x + 1 > 5

So, subtract the 1 from both sides,

2x > 4

x > 2

So anything greater than 2...

7 and 3 are greater than 2.

A and E.

Answer:

$2,600

Step-by-step explanation: