2. Solve 2 tan x + 6 = -tan x + 3 on [0, 2(pie))
Your answer​

Answers

Answer 1
If I understand your question correctly I would say X= 3pi/4.

In which people move all of the terms containing tan X to the left side of the equation.

You’ll get, 3tan(X) + 6 = 3

Move all of the terms not containing tan (X) to the right side of the equation.

3tan (X) = -3

Then divide each term by three and simplified.

Tan (X) = -1

Take the inverse tangent of both sides of the equation to extract X from inside the tangent.

X = arctangent (-1)

The exact value of arctangent (-1) is
- pi/4.

The tangent function is negative in the second and fourth quadrants. To find the second solution, subtract the reference angle from pi to find the solution in the third quadrant.

X = - pi/4 - pi

Simplify the expression to find the second solution.

X = 3pi/4

I hope that helps.




Related Questions

Kinda lost, can someone help me.

Answers

Answer:

Area: x^2 + 6x

Step-by-step explanation:

1. This figure resembles a parallelogram, with it's dimensions parallel to the point of congruency. Even if it wasn't a parallelogram however, you would get the basic idea of calculating it's area by height * length.

2. Knowing the dimensions to be ( x + 6 ) by x, you can multiply them through algebra as such: x ( x + 6 ) ⇒ x^2 + 6x

3. Answer: x^2 + 6x

Solve: 3(x - 6) = -12

Answers

Answer:

x=2

Step-by-step explanation:

3*2=6

6-6=0

-12

the answer is 2 ooooooo

Your teacher has 50 pencils. 9 of the pencils are green, 10 are yellow, 7 are
blue and the rest are red. Once a pencil is picked, assume it is not given
back to the teacher. What is the probability that the first 3 students pick a
yellow pencil, a blue pencil and a red pencil in that order? Is this a
dependent or independent event? *
A. Independent, 1/70
B. Dependent, 1/70
C. Independent, 41/3125
D. Dependent, 41/3125

Answers

Answer:

B. Dependent, 1/70

Step-by-step explanation:

The probability that the first pencil is yellow is 10/50.

There are now 49 pencils, so the probability that the second pencil is blue is 7/49.

There are now 48 pencils, so the probability that the third pencil is red is 24/48.

The total probability is (10/50) (7/49) (24/48) = 1/70.

Since the pencils aren't replaced after selection, each event changes the probability of the next, so the events are dependent.

Compute: 10:00 - 2:30

Answers

Answer:

4 hr and 30 minutes?

Step-by-step explanation:

You didnt really specify soo.    11    12    1   2   2:30

                                                 1hr   2hr  3hr 4hr  30 min

Answer:7:30

Step-by-step explanation:

A vendor at a street fair sells popcorn in cones, all of height 9 inches. The
sharing-size cone has 3 times the radius of the skinny-size cone. About how
many times more popcorn does the sharing cone hold than the skinny cone?

Answers

Answer:

The sharing cone holds about 9 times more popcorn than the skinny cone.

Step-by-step explanation:

The volume of a cone is given by the following formula:

[tex]V = \frac{\pi r^{2}h}{3}[/tex]

In which r is the radius and h is the height.

Two cones:

Both have the same height.

The sharing-size cone has 3 times the radius of the skinny-size cone.

Skinny:

radius r, height h. So

[tex]V_{sk} = \frac{\pi r^{2}h}{3}[/tex]

Sharing size:

radius 3r, height h. So

[tex]V_{sh} = \frac{\pi (3r)^{2}h}{3} = \frac{9\pi r^{2}h}{3} = 3\pi r^{2}h[/tex]

About how many times more popcorn does the sharing cone hold than the skinny cone?

[tex]r = \frac{V_{sh}}{V_{sk}} = \frac{3\pi r^{2}h}{\frac{\pi r^{2}h}{3}} = \frac{3*3\pi r^{2}h}{\pi r^{2}h} = 9[/tex]

The sharing cone holds about 9 times more popcorn than the skinny cone.

A wall in Marcus’s bedroom is 8 2/5 feet high and 16 2/3 feet long. If he paints 1/2 of the wall blue, how many square feet will be blue?

Answers

77 feet^2

Explanation:

Area of the wall is

8 2/5 × 18 1/3

42/5 × 55/3

14/5 × 55/1

14/1 × 11/1 = 154 feet^2

The area we want is half of this

77 feet^2

Hope this helps and answer you question

What is the area of this parallelogram?
6 cm
2 cm

Answers

Answer:

12

Step-by-step explanation:

Area= base*height

Area= 6*2

Answer:

12cm

Step-by-step explanation:

hight & Base=6 cm & 2 cm

Formula for area: hight×base=6 cm×2 cm

12cm

The lengths of pregnancies are normally distributed with a mean of 250 days and a standard deviation of 15 days.

a. Find the probability of a pregnancy lasting 308 days or longer?








b. If we stipulate that a baby is premature if the length of the pregnancy is in the lowest 8% (8th percentile), find the length that separates premature babies from those who are not premature.

Answers

Answer:

a) 0.005% probability of a pregnancy lasting 308 days or longer

b) The pregnancy length that separates premature babies from those who are not premature is 229 days.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 250, \sigma = 15[/tex]

a. Find the probability of a pregnancy lasting 308 days or longer?

This is 1 subtracted by the pvalue of Z when X = 308. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{308 - 250}{15}[/tex]

[tex]Z = 3.87[/tex]

[tex]Z = 3.87[/tex] has a pvalue of 0.99995

1 - 0.99995 - 0.00005

0.005% probability of a pregnancy lasting 308 days or longer

b. If we stipulate that a baby is premature if the length of the pregnancy is in the lowest 8% (8th percentile), find the length that separates premature babies from those who are not premature.

The 8th percentile is X when Z has a pvalue of 0.08. So it is X when Z = -1.405.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.405 = \frac{X - 250}{15}[/tex]

[tex]X - 250 = -1.405*15[/tex]

[tex]X = -1.405*15 + 250[/tex]

[tex]X = 229[/tex]

The pregnancy length that separates premature babies from those who are not premature is 229 days.

In the equation m = k + 3, m is the:

Answers

Answer:

Step-by-step explanation:

m is the dependent variable; it represents the value of a linear function of k:

m = f(k) = k + 3

What do scientist mean by flattening the curve and why is it important?

Answers

Answer:

MRCORRECT has answered the question

Step-by-step explanation:

Inhibiting new infections to reduce the number of cases at any given time—known as "flattening the curve"—allows healthcare services to better manage the same volume of patients.

Answer:

I believe it means to slow down the virus spreading to other people and to stay safe, avoid contact, and wash your hands to stop too many people from going into the hospital.

Step-by-step explanation:

Need help please no dumb answers I gotta turn it in in five min help a girl out please

Answers

Answer:

boo just search the formula dud

its A though

Children in 50 Households
Number of Children Number of
Households
0
5
1
11
2
13
3
10
4
9
5
2
Using a proportion, what can you infer about the number of households in her town that have more than thre
About 242 households have more than three children.
About 269 households have more than three children.
About 296 households have more than three children.
About 565 households have more than three children.

Answers

Answer:I think it’s 269 because when you do 1,350 divided by 50 it’s 27 then you add 9+2 to get 11/50 then you do 27x11 which gives you 270 and the closest answer to that is 269

Step-by-step explanation:

Answer:

About 296 households have more than three children.

Step-by-step explanation:

I got it right on edge

Five friends bake ginger bread and subsequently meet up for a tasting session. Each one gives one of his ginger
breads to each other person. Then each person eats all of the ginger bread they were given. After that the
number of ginger breads halves. How many ginger breads did the five friends have to start with?

Answers

Answer:

The five friends had 10 fingers to start with; one had two each

Step-by-step explanation:

The statement says each gave one of not all of his ginger in the toasting session.

Ryan randomly draws equal sized cards labeled with letters A, B, C, D and F from a hat and records the results in the table. Find the theoretical and experimental probabilities of randomly drawing a card that is labeled with the letter C. Frequency A 36, B 50, C 111, D 59, F 44 total 300

Answers

Answer:

We have 5 cards, and if we assume that the probability of selecting a given card at random is the same for all the cards, then the probability of randomly drawing the card C out of the 5 cards is equal to:

P = 1/5 = 0.20

Now, for the experimental probability, we can see that out of 300 draws, 111 times he drew the card C.

The experimental probability is:

Pe = 111/300 = 0.37

You can see that the experimental probability is bigger than the theoretical one, this may happen for two things.

Not enough draws: as the number of draws, we should expect to see that the experimental probability gets closer and closer to the theoretical one.

The cards have some difference: There is a chance that card C has a difference with the other cards, and this difference makes that when Ryan draws a card has a bigger probability of drawing this one.

23. A popular brand of AAA batteries has an effective use time of 12.3 hours, on average. A startup company claims that their AAA batteries last longer. The startup company tested 24,000 of their new batteries and computed a mean effective use time of 12.32 hours. Although the difference is quite small (72 seconds—or just over a minute), the effect was statistically significant (P-value < 0.0001).

It is appropriate to conclude which of the following?

A) The startup company has strong evidence that their AAA batteries last longer, on average.
B) The startup company has moderate evidence that their AAA batteries last longer, on average.
C) The startup company has proved that their AAA batteries last longer, on average.
D) None of the answer choices are correct. With such a large sample size, statistically significant results may not be of any practical importance.

Answers

Answer:

Option B

Step-by-step explanation:

Although the difference is quite small (72 seconds—or just over a minute), the effect was statistically significant (P-value < 0.0001).

Since the P-value was less than 0.0001, the null hypothesis in this case can be rejected (H₀: ∪=12.3), concluding that the startup company has moderate/enough evidence that their AAA batteries last longer, on average.

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 12.3

For the alternative hypothesis,

µ > 12.3

This is a right tailed test.

The decision rule is to accept the null hypothesis if the significance level is lesser than the p value and reject the null hypothesis if the significance level is greater than the p value.

Let us assume a significance level of 0.05.

Since alpha, 0.05 > than the p 0.0001, then we would reject the null hypothesis.

The correct option would be

A) The startup company has strong evidence that their AAA batteries last longer, on average.

Determine the range of the following function {(-1,4)(0,6)(7,8)(2,-5)}

A) {-1,4,0,6}
B) {-1,0,7,8}
C) {4,6,8,-5}
D) {7,8,2,-5}

Answers

Answer:

C

Step-by-step explanation:

The range of a function is all of the y values of every point. In this case, that is 4, 6, 8, -5 (C). Hope that helps!

Answer:

The answer is C

Step-by-step explanation: 4 and 6 are the medium numbers. -5 and 8 and the lowest and highest nuumbers.

What is the value of sin(A)

Answers

Answer:

6/10

Step-by-step explanation:

How much did deshwan have withheld from his federal income tax

Answers

Answer:

$4465.71.

Step-by-step explanation:

Explanation: The amount of federal income tax withheld is on Box 2 of the WW2 form.

Charles’s law states that if the pressure of a dry gas is held constant, then the volume V of the gas and its temperature T, measured in degrees Kelvin, satisfy the relationship V=cT, where c is a constant. Which of the following best describes the relationship between the rate of change, with respect to time t, of the volume and the rate of change, with respect to time t, of the temperature?

a) dV/dt = T dc/dt
b) dV/dt = c * dT/dt
c) dV/dT = c
d) 1 = c * dT/dV

Answers

Answer:

  b) dV/dt = c * dT/dt

Step-by-step explanation:

Differentiating the equation with respect to time, you have ...

  V = cT

  dV/dt = c·dT/dt . . . . matches choice B

A pollen grain is 3/10 to the third power centimeters wide. In an illustration, the pollen grain is 6 centimeters 10 wide. How much larger is the illustration than the actual pollen?

Answers

Answer:

The illustration is approximately 226 times larder than the actual pollen grain.

Step-by-step explanation:

First of all, we have to write out the size of the actual pollen grain in a manner that is easy for us to work with.

This will be

[tex](\frac{3}{10}) ^{3}=0.027cm[/tex] wide

The original width of the pollen is 0.027 cm.

Next,

We can take the width of the illustration to be 6.10 cm  wide.

After this,

To get the magnification factor, we will have to use the formula

Magnification = illustrated size/ actual size

This will be the magnification = [tex]6.10/0.027[/tex] = 255.92 times

Hence, the illustration is approximately 226 times larder than the actual pollen grain.

What does the constant 2.2 in L(D) represent?

Answers

Answer:

The constant 2.2 in L(D) represent the brightness in lumens per square inch.

Step-by-step explanation:

Find the area of the shape ​plssss help

Answers

ok so find the area of thesquare then triangles and then add them tiriange area is 1/2 times base times heightso 1/2 times 2 times 2 which is 4 divided by 2 which is 2 same with the other traingle so your total area for the traingles is 4. The area for the square is 2 times 2 which is 4. add them up yiouget the whole shape is 8 units squared Answer: 8 units squared

Step-by-step explanation:

Write a recursive formula for the sequence

-1,-2,-3,-4...

Answers

Answer:

  f(1) = -1

  f(n) = f(n-1) -1

Step-by-step explanation:

The first term is -1. Each term is 1 less than the previous. These equations say that.

  f(1) = -1

  f(n) = f(n-1) -1

What’s the correct answer or this?

Answers

Answer:

Height = 35 x sin(55deg) = ~28.7 feet

Answer:

B

Step-by-step explanation:

Sin ∅ =opposite/HYPOTENUSE

Sin 55 =opposite/35

0.82×35=opposite

Opposite=28.7 feet

where is the point (0, –4) located

Answers

4 points below the origin

Simplify 3 + 5(x - 4)

Answers

Answer:

5x - 17

Step-by-step explanation:

3 + 5x - 20

= 5x - 17

Giving brainliest to CORRECT answer.

Answers

Answer:

B) (-3,4)

Step-by-step explanation:

I graphed the function on the graph below to show you that vertex of the function.

If this answer is correct, please make me Brainliest!

The answer is B because it appears on my graphing calculator as this.

8 x
105 is how many times as great as 8 x 10-l?
10 4
10 6
10 -4
10 -6​

Answers

Answer:

10 6

................

What is the median for the given set of data?
[40, 54, 22, 30, 55, 13, 33}
A)
32
B)
33
C)
40
D)
42

Answers

B : 33
13 22 30 33 40 54 55

In a Monopoly market, a firm is a price maker since there are no close substitutes to the product. You are asked to find the company's Proft-Maximization point. Fixed Costs remains at $1,000.00. Calculate the revenue, profit (any), and costs on the graph,

Answers

ATC= TC/ Q
Avc= vc/q
Afc= Fc/ q
Mc= Change TC/ change q
Tc= vc+ fc
Vc= tc/ fc
Mr= change tr/ change q
P≠ mr
Other Questions
What was the purpose of the Apollo space missions?to collect rock samples from Marsto land on Saturnto collect rock samples from the moonto land on Jupiter You are part of a football team there are three possible outcomes for each match: win, lose or draw. What is the probability of winning the next two matches in a row? in Land subsidence is caused byO groundwater overpumpingO runoffO gophersO infiltration The bear used the trunk of the tree to give himself a manicure.Personification or Hyperbole? The ratio of men to women is 5 to 8. If there are 286 employees total how many women work for the company ?? Please answer Choose the best definition for velocity1. How fast something is going2. Speed in a certain direction3. Which direction something is going4. Something speeding up Is there more that you and your family could do to recycle? Can you come up with three (3) ideas to reuse some of the waste products in your home? 1. Which stars are composed of matter in which electrons have combined with protons?black dwarfsneutron starswhite dwarfsblack holes 3.Kitty says, If something happened once, it can happen again. Do you agree with the statement? Why or why not? Why is this important to remember? rectangle with length 11 1/2 in. and width 8 in The area of this rectangle is____________ in2. What times what gives you 1,000,000 Absorption and variable costing. (CMA) Miami, Inc., planned and actually manufactured 250,000 units of its single product in 2017, its first year of operation. Variable manufacturing cost was $19 per unit produced. Variable operating (nonmanufacturing) cost was $13 per unit sold. Planned and actual fixed manufacturing costs were $750,000. Planned and actual fixed operating (nonmanufacturing) costs totaled $420,000. Miami sold 170,000 units of product at $41 per unit.Required:1. Miami's 2017 operating income using absorption costing is:(a) $ 600,000(b) $ 360,000(c) $ 780,000(d) $ 1,020,000(e) None of above2. Miami's 2017 operating income using variable costing is:(a) $ 1,100,000(b) $ 600,000(c) $ 360,000(d) $ 780,000(e) None of above I WILL GIVE YOU BRAINLIEST, AND 30 POINTS SO PLEASE HELP ME, IT'S URGENT! What is the axis of symmetry for the function f(x)=7-4x+x2?X=-3x = -2x = 2x= 3 Which role is NOT played by the small intestine?aChemical digestion by enzymes bCarbohydrate absorption cPropulsion of digested substances dVitamin Production what is the role of a cytoplasm According to the text, what are the factors contributing to global warming? which civilization played on economic role in expanding cultural connections between Europe and africa What is 15,379 times 51 This painting is by Pablo Picasso, entitled The Blind Mans Meal. What type of color scheme did Picasso use and its definition?a.He used a analogous color scheme, which occurs when the hues used are directly opposite one another on the color wheel.b.He used a monochromatic color scheme, which occurs when one color predominates,shades of black, tints of white, values of a hue.c.He used a analogous color scheme, which occurs when the hues used are next to one another on the color wheel.d.He used a monochromatic color scheme, which occurs when the hues used are created by combining equal parts of two primary colors.