The customers of Rhythm Time, an online music service, downloaded 3,790 songs last year. This year, the number was 20% higher. How many songs did they download this year?

Answer: tan(pi+theta)=-9.9

Tan(2pi+theta)=-9.9

Step-by-step explanation:

By trigonometric expressions we conclude that the values of the tangent functions of the angles π + θ and 2π + θ radians are both equal to - 9.9.

A unit circle is a circle with a radius of a unit used to calculate the value of trigonometric functions associated to a right triangle. In this case, the tangent function for a point (x, y) is:

tan θ = y/x     (1)

The trigonometric expression for the tangent of the sum of two angles:

[tex]\tan (\alpha + \theta) = \frac{\tan \alpha + \tan \theta}{1 - \tan \alpha \cdot \tan \theta}[/tex]     (2)

Now we proceed to calculate the trigonometric expressions:

[tex]\tan (\pi + \theta) = \frac{\frac{-0.99}{0.1}+0}{1-\left(\frac{-0.99}{0.1}\right)\cdot (0)}[/tex]

[tex]\tan (\pi + \theta) = -9.9[/tex]

[tex]\tan (2\pi + \theta) = \frac{\frac{-0.99}{0.1}+0}{1-\left(\frac{-0.99}{0.1}\right)\cdot (0)}[/tex]

[tex]\tan (2\pi + \theta) = -9.9[/tex]

By trigonometric expressions we conclude that the values of the tangent functions of the angles π + θ and 2π + θ radians are both equal to - 9.9.

To learn more on trigonometric expressions: https://brainly.com/question/6904750

#SPJ2

Answer: 2 kg

Step-by-step explanation:

3/4(22-x)=17-x

66/4-3/4x=34/2-x

33/2-3/4x=34/2-x

1/4x=1/2

x=2

Answer:

that's 2kg because 22*.75 is 17 the difference is -5 each time. 17- another 5 is 12 or 2/4 the original amount. you keep going and at the end you are left with 2kg

Answer & Step-by-step explanation:

I assume you mean to differentiate the equation.

We will solve using the power rule, where x^n = nx^n-1.

Apply this rule to all three numbers in our equation to get 6x, -1, and 0

Answer: It equals 32!

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation

9514 1404 393

Answer:

  5.76%

Step-by-step explanation:

There is no formula for APR. It must be found using an iterative calculation, as from a spreadsheet or financial calculator.

__

The value can also be found graphically from the amortization formula:

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

where A is the monthly payment, P is the principal amount of the loan, r is the annual rate, and t is the number of years.

This can be put into a form that can be solved easily by a graphing calculator. We want it to find the x-intercept of f(x) = 0, so we define ...

  f(x) = A(P, x/100, t) -615.13

where A(P, r, t) is defined above, and we let r = x/100 so x is the APR. The graph shows us the APR is 5.763%.

Answer:

the 4th

Step-by-step explanation:

3204:119=

=26,92

=27/10

Answer:

4700

Step-by-step explanation:

240.50 x 19.54

= 4699.37

2 significant = 4700

Answer:

4,699.37

Step-by-step explanation:

240.50 x 19.54 = 4,699.37

Answer:

90+30+2x=180

Step-by-step explanation:

2x is an angle, so we need to find its measure

square symbol at corner of triangle means 90 degrees

we know the angle at the top corner is 30 degrees

the sum of all the angles in a triangle is 180 degrees

so the sum of 90 degrees, 30 degrees, and 2x degrees is 180 degrees

translate it to mathematical format: 90+30+2x=180

Answer:

x= -1 a x i s of s ym m et ry

(-1, -1) v e r t e x

Step-by-step explanation:

M a t h w a y step by step

Answer:

-2x .(5x+18)

Step-by-step explanation:

Answer:

pee on the teacher

Step-by-step explanation:

the answer is A ;

sin = opposite/ hypotenuse

= 24/ 26 ( we need to simplify it)

= 12/13

Answer:

A or 12/13

Step-by-step explanation:

Answer: -1/7

I hope this helps I would appreciate brainliest if possible :)

Answer:

A and B only

Step-by-step explanation:

Number lines have smaller numbers on the left and larger numbers on the right. To determine the position of 4/10 on the number line, we just need to compare the value to the values in the answer choices.

a. 4/10 is equivalent to 2/5 (2/5 is just a simplified version of 4/10). If you multiple both the numerator and denominator of 2/5 by 2, you will get 4/10. If you do 4 divided by 10 and 2 divided by 5, you'll also see that they are both equivalent to 0.4. Hence, they have the same value and will be in the same place.

b. 3/10 is smaller than 4/10. In a case where the denominators of two fractions are the same, a smaller numerator would mean a smaller value. In addition, 3/10 is equivalent to 0.3 and 4/10 is equivalent to 4/10 so 0.3 is less than 0.4. That means 4/10 will be on the right of 0.3 because it's a larger number.

c. Using the same logic as part b, 2 is less than 4. That means 2/10 is less than 4/10, so 4/10 would be on the right of 2/10, not the left.

d. Same logic as parts b and c. 7 is greater than 4, so 4/10 should be on the left of 7/10 not right.

Answer: 78/5

Step-by-step explanation:

To simplify this fraction, we should get rid of 15 in order to only have a numerator and a denominator. We would first multiply 15 with 5.

15 * 5 = 75

Then we would add 75 to 3.

75 + 3 = 78

We now have our numerator for our simplified fraction.

78/5

Answer:

can i have brainlest pls

Answer:

120

Step-by-step explanation:

10x12=120 z=120

Answer:

120

Step-by-step explanation:

12 times 10 is 120

good luck!

Answer:

below

Step-by-step explanation:

[tex]6x-2y=14[/tex]

[tex]-2y=14-6x[/tex]

[tex]y=-7+3x[/tex]

but has in slope-intercept form, y = 3x - 7

both lines are equal

Answer:

Step-by-step explanation:

Applying the recursive formula f(n) = f(n-1) + 4 with the initial condition f(1) = 3, we obtain the sequence 3, 7, 11, 15, which corresponds to option D) in the given choices. Optiopn D

To find the values of the sequence defined by the recursive formula f(n) = f(n-1) + 4, with the initial condition f(1) = 3, we can apply the formula repeatedly, starting from n = 2.

Using the given formula, we can calculate the values of the sequence as follows:

f(2) = f(2-1) + 4 = f(1) + 4 = 3 + 4 = 7

f(3) = f(3-1) + 4 = f(2) + 4 = 7 + 4 = 11

f(4) = f(4-1) + 4 = f(3) + 4 = 11 + 4 = 15

The values we obtained are: f(1) = 3, f(2) = 7, f(3) = 11, and f(4) = 15.

Comparing these values to the options provided:

A) 3, 9, 11, 13

B) 3, 8, 10, 12

C) 4, 7, 10, 13

D) 3, 7, 11, 15

We can see that option D) 3, 7, 11, 15 matches the values we calculated using the recursive formula. Therefore, the correct answer is option D).

For more such question on recursive formula visit:

https://brainly.com/question/29386786

#SPJ8

Step-by-step explanation:

(x/z)=3 (7/5)= x'2

tis is the right answer

plz mark me branlists

Step-by-step explanation:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis. Keep in mind that if the graph continues beyond the portion of the graph we can see, the domain and range may be greater than the visible values. See Figure 6.

Figure 6

We can observe that the graph extends horizontally from

\displaystyle -5

−5

to the right without bound, so the domain is [−5,∞). The vertical extent of the graph is all range values 5 and below, so the range is (−∞,5]. Note that the domain and range are always written from smaller to larger values, or from left to right for domain, and from the bottom of the graph to the top of the graph for range

Answer:

(4,7),(5,-1),(6,-10)

Step-by-step explanation:

mark me brainliest

Answer:

third option

Step-by-step explanation:

the only difference between the original problem and the third option is where the parentheses are placed

since the operations are all addition it does not matter which pair of values gets added first because of the associate property of addition