C. (–7x + 4)(4 – 7x)
Which of the following expression expressions is equivalent to cos3x/sinxcosx?
A.) cscxcos2x-secxsin2x
B.) secxcos2x-cscxsin2x
C.) secxcosx-cscxsinx
D.) cscxcosx-secxsinx
Answer:
A.) cscxcos2x-secxsin2x
Step-by-step explanation:
I'm sorry I really do not know how to solve this but I just did the quiz and b was not correct.
Final answer:
To find an expression equivalent to cos3x/sinxcosx, we use trigonometric identities and simplification to arrive at cscx - secx. Option D, cscx cosx - secx sinx, when expanded and simplified, is equivalent to cscx - secx, thus it is the correct answer.
Explanation:
The question asks us to find an expression equivalent to cos3x/sinxcosx. To start, let's simplify the given expression using trigonometric identities.
We can write cos3x as cos(2x+x), which by using the angle addition formula for cosine gives us cos(2x+x) = cos2x cosx - sin2x sinx. Now our expression looks like this: (cos2x cosx - sin2x sinx) / (sinx cosx).
The next step is to split the numerator to have two separate fractions: cos2x/sinx - sin2x/cosx. We can then recognize that cos2x/sinx is equivalent to 1/sinx or cscx, and -sin2x/cosx is equivalent to -1/cosx or -secx. Therefore, the equivalent expression is cscx - secx.
Comparing this result to the options given, option D, cscx cosx - secx sinx, expands to 1/sinx × 1 - 1/cosx × sinx, which can be simplified to cscx - secx. Thus, option D is the correct answer.
Solve for x under the assumption that x > 0. Enter your answer in interval notation using grouping symbols.
x−24/x<10,
The solution for the set would be: x is (0,12).
What is the solution?
To arrive at the solution, we would first move the constant term to the right side as follows;
x - 24/x < 10
x < 10 + 24/x
We then multiply both sides by x to eliminate the fraction:
x² < 10x + 24
Collect all terms to one side;
x² - 10x - 24 < 0
Factorize
(x - 12)(x + 2) < 0
So, x - 12 is positive when x > 12 and negative when x < 12.
x + 2 is positive for all values of x > 0.
Personal Finance is a dead group.
How does the availability of credit in a community affect the housing market there?
The availability of credit has no affect on the housing market.
The less credit available, the higher the cost of housing.
The availability of credit determines whether or not people put their homes up for sale.
The more credit available, the higher the cost of housing.,
Combine and simplify these radicals. square root of 8 times square root of 20
Answer:
√8 * √20 = 4√10
Step-by-step explanation:
√8 * √20= √(4*2) * √(4*5)
√8 * √20 = (√4)(√2)*(√4)(√5)
√8 * √20 = (2)(√2)*(2)(√5)
√8 *√20 = (2*2)(√2*√5)
√8 * √20 = (4)(√(2*5)
√8 * √20 = 4√10
prove this trigonometric equation;
- tan^2x + sec^2x = 1,
The areas of two similar octagons are 112 in.² and 63 in.². What is the ratio (larger to smaller) of their perimeters?
16/3
4/9
16/9
4/3,
PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER
Explain why increasing the sample size tends to result in a smaller sampling error when a sample mean is used to estimate a population mean.
A. The above statement is incorrect, the sample size has no effect on the sampling error.
B. The larger the sample size, the more closely the possible values of \bar{x} cluster around the mean of \bar{x}
C. If the sample size is larger, the possible values of \bar{x} are farther from the mean of \bar{x},
Sampling error is inversely proportional to the sample size which means if the sample size increases the sampling error decreases. Then option B is correct.
What is sampling error?The amount of inaccuracy in the estimating value appears due to the smaller sample size.
The sample size tends to result in a smaller sampling error when a sample mean is used to estimate a population mean.
We know that the formula of the sampling error
[tex]\rm Sampling \ error = z \times \dfrac{\sigma}{\sqrt{n}}[/tex]
Sampling error is inversely proportional to the sample size which means if the sample size increases the sampling error decreases.
More about the sampling error link is given below.
https://brainly.com/question/15375591
Please help asap!!! 19 pts
Please help simple math problem
Pls help.
Solve (6x^3-1x^2+1)/(2 x+1)
a. -3x^2+2x-1
b. 3x^2-2x+1
c. -3x^2+2x-1
d. 3x^2+2x-1,
make w the subject of the formula y-aw=2w-1
To make w the subject of the formula y-aw=2w-1, rearrange the equation as follows: add aw to both sides, factor out w on the right side, add 1 to both sides, and then divide by (a+2). The final equation is w=(y+1)/(a+2).
Explanation:The question is asking to rearrange the given formula y-aw=2w-1 to solve for the variable w. We can follow these steps:
Add aw to both sides of the equation to eliminate it on the left side. This gives us y=aw+2w-1. Factor out w from the right side. This gives us y=w(a+2)-1. Add 1 to both sides of the equation to eliminate it on the right side. This gives us y+1=w(a+2). Divide both sides of the equation by (a+2) to isolate w. This gives us w=(y+1)/(a+2).
Therefore, in the formula y-aw=2w-1, w=(y+1)/(a+2) when solved for w.
Learn more about Rearranging Equations here:https://brainly.com/question/10945620
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which value is a solution of the equation 2-8x=-6 ? ( 1point )
A. 1
B. 1/2
c. -1
d. 8,
This circle graph shows the results of a survey that asked people to identify their favorite type of music.
What percent of people chose rock or country as their favorite type of music?
9%
35%
45%
55%
A circle graph with 5 sections. The first section is labeled Rock 27 percent. The second section is labeled Hip Hop 28 percent. The third section is labeled Jazz 19 percent. The fourth section is labeled Country 18 percent. The fifth section is labeled Other 14 percent.
Answer: C) 45
Hope Thsi Helps ^_^
Create an equation to model an investment of 5000 dollars which increases 15% each year. Set up an equation to solve for how long it would take for the investment to double. ( you do not need to solve this problem)
URGENT!!!! You must create a 6-character password using the letters A-Z and the numbers 0-9. Characters may be repeated. How many possible passwords are there?
What is the quotient of 78.3 ÷ 3.48?
In a 30-60-90 triangle, what is the length of the hypotenuse when the shorter leg is 5 cm?
Enter your answer in the box.
The length of the hypotenuse is 10cm
SOH CAH TOA identityGiven a 30-60-90 triangle where:
Length of the shorter leg = 5cm (adjacent)
The hypotenuse is what we need.
[tex]cos \theta = \frac{adj}{hyp} \\ [/tex]
Substitute the given parameters
[tex]cos 60 = \frac{5}{h}\\ h =\frac{5}{cos 60}\\ h = \frac{5}{0.5}\\ h = 10cm[/tex]
Hence the length of the hypotenuse is 10cm
Learn more on SOH CAH TOA here: https://brainly.com/question/20734777
Which property justifies the following statement? If x=2,and y=3x-11, then y=3•2-11
The sum of three consecutive odd integers is − 105 . find the numbers.
In Mr. Sheldon’s physical education class, each student plays at most 1 sport.
A total of 20 students play soccer or basketball.
Given that 1/3 of the students play soccer, and 8 play basketball, how many students in Mr. Sheldon’s class play neither soccer nor basketball?
I have no idea how to calculate. I will reward the right answer along with explanation of how it was figured. (I attached a pic of the multiple choices) Thanks!
40 POINTS! + BRAINLIEST
What is the measure in radians for the central angle of a circle whose radius is 6 cm and intercept arc length is 5.4 cm?
Make sure to show all calculations.
Answer:
6.5
Step-by-step explanation:
1. calculate using the equation
The length of a rectangle is represented by the function L(x) = 6x. The width of that same rectangle is represented by the function W(x) = 4x2 − 3x + 8. Which of the following shows the area of the rectangle in terms of x?
PLEASE HELP ME ON THIS
BRAINLIEST AVAILABLE IF YOU ANSWER CORRECTLY
In triangle abc, ac=10, bc=8, angle b =90 degrees and angle bda = 90. how long is line bd
Compare the numbers in the following sequence and try to determine what the next number should be.
6, 9, 18, 21, 42, 45, ?
Now When i did the math I thought it might be 54 but I'm not sure can someone help me or tell me if I'm right!
Domain -1,4,5,3,-5 Range n,w,y,n,w is this a function
A simple question I can't answer thnks yall
Dyann takes a bus to work every day. On Monday the trip took 34 minutes. On Tuesday the trip took 36 minutes. On Wednesday the trip took 35 minutes. On Thursday the trip took 34 minutes. Dyann determines that the trip to work on Friday will take about 35 minutes.
Does her conclusion use inductive, or deductive reasoning?
Answer:
inductive reasoning
In this question, the conclusion is that the trip to work on Friday will take about 3535 minutes. This conclusion is based on observation of specific examples instead of scientific research.
Therefore, the type of reasoning used is inductive reasoning.
What is the least common Multiple of 9 and 10? Use prime factorization to solve.