Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
sin²x + cos²x = 1 , then
sin²x = 1 - cos²x and cos²x = 1 - sin²x
Consider the left side
[tex]\frac{(1-sinA)(1 + sinA)}{(1+cosA)(1-cosA)}[/tex] ← expand numerator/denominator using FOIL
= [tex]\frac{1-sin^2A}{1-cos^2A}[/tex]
= [tex]\frac{1-(1-cos^2A)}{1-(1-sin^2A)}[/tex]
= [tex]\frac{1-1+cos^2A}{1-1+sin^2A}[/tex]
= [tex]\frac{cos^2A}{sin^2A}[/tex]
= cot²A = right side , thus proven
On a coordinate grid, point P is at (1, 7) and point R is at (−2, −3). Points Q and S are a reflection of both points across the x-axis. What are the coordinates of Q and S? (1 point) Q(−1, 7), S(2, −3) Q(−1, −7), S(2, 3) Q(−1, 7), S(−2, 3) Q(1, −7), S(−2, 3)
9514 1404 393
Answer:
(d) Q(1, −7), S(−2, 3)
Step-by-step explanation:
Reflection across the x-axis negates the y-coordinate:
(x, y) ⇒ (x, -y) . . . . reflection across the x-axis
Then we have ...
P(1, 7) ⇒ Q(1, -7)
R(-2, -3) ⇒ S(-2, 3)
These coordinates match the last choice.
A total of 200 video game players take a survey on their favorite game. Unknown Kingdom
gets 55% of the votes, The video game designers want to know how many players voted for
Unknown Kingdom.
Wite 55% as a rate per 100.
55
559%
e Find an equivalent ratio where the number of players surveyed is 200.
Votes
55
Players Suveyed
100
200
Answer:
Could you explain it another way?
Step-by-step explanation:
can someone explain to me of how to do this?
Answer:
1) 11
2) 15
Step-by-step explanation:
The bars on the sides of the numbers represent the absolute value/magnitude of the number, so you will need to remove the negative symbol if it is present in front of the number (if it is already a positive number, leave it as it is).
Example:
[tex]|-3+2| = |-1|[/tex]
[tex]= 1[/tex]
Hope this helps :)
What is the result of 122÷8? Use the number line to find the answer
A: 7
B:14
C:16
D:28
Please help!
Answer: I would go towards B
Step-by-step explanation:
122/8 = 15.25
This is more towards 15, so put the dot in the middle of 14 and 16
Explain briefly why the vertical line test is used to determine if a graph represents a function.
Answer:
One x input cannot have two or more resulting y outputs
Step-by-step explanation:
That's why we use the vertical line test to see if there's two y vales for a corresponding x value, hope that helped
Ms.Sarah makes 300 cupcakes.She gives 2 cupcakes to each student.How many students can she give cupcakes to if she wants at least 20 cupcakes left?
Answer:
140
Step-by-step explanation:
300-20=280
280 divided by 2
140
Answer:
140 is your answer
Step-by-step explanation:
Give the domain and range.
-3 0 3 у -6 0 6.
a. domain: {-3, 0, 3), range: 2-6, 0, 6)
b. domain: {-6, 0, 6), range: {-3, 0, 3}
c. domain: {3, 0, 3), range: {6, 0, 6}
d. domain: {6,0, 6), range: {3, 0,3}
Answer:
The domain: {-3, 0, 3}
The range: {-6, 0, 6}
Therefore, option (a) is correct.
Step-by-step explanation:
Given the table
x -3 0 3
y -6 0 6
Determining the Domain:
We know that the domain of a relation is the set of all the x-values of the set X. In other words, the domain of relation consists of all the input values.Therefore, the domain: {-3, 0, 3}
Determining the Range:
We know that the range of a relation is the set of all the y-values of the set Y. In other words, the range of relation includes all the output values.Therefore, the range: {-6, 0, 6}
Therefore, we conclude that option (a) is correct.
For a study of adolescents' disclosure of their dating and romantic relationships, a sample of 224 high school students was surveyed. One of the variables of interest was the level of disclosure to an adolescent's mother (measured on a 5-point scale, where 1 = "never tell" and 5 ="always tell"). The sampled high school students had a mean disclosure score of 3.38 and a standard deviation of 0.98. The researchers hypothesize that the true mean disclosure score of all adolescents will exceed 3. Do you believe the researchers?
Conduct a formal test of hypothesis using α = 0.05. Set
Answer:
The decision rule is
Reject the null hypothesis
The conclusion is
There sufficient evidence that the true mean disclosure score of all adolescents will exceed 3
Step-by-step explanation:
From the question we are told that
The sample is n = 224
The sample mean is [tex]\= x = 3.38[/tex]
The standard deviation is [tex]s = 0.98[/tex]
The population mean is [tex]\mu = 3[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \mu = 3[/tex]
The alternative hypothesis is [tex]H_a : \mu > 3[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{ \= x - \mu }{ \frac{s}{ \sqrt{n} } }[/tex]
=> [tex]z = \frac{ 3.38 - 3 }{ \frac{0.98 }{ \sqrt{224} } }[/tex]
=> [tex]z = 5.80[/tex]
From the z table the area under the normal curve to the right corresponding to 5.80 is
[tex]p-value = 0[/tex]
From the value obtained we that [tex]p-value < \alpha[/tex] , hence
The decision rule is
Reject the null hypothesis
The conclusion is
There sufficient evidence that the true mean disclosure score of all adolescents will exceed 3
the question is above in the picture
Solve the equation 3x^2+8=83
Answer:
x = 5
Step-by-step explanation:
3x² + 8 = 83
3x² = 83 - 8
3x² = 75
x² = 75/3
x² = 25
x = √25
x = 5
-TheUnknownScientist
Answer:
x =5
Step-by-step explanation:
3x²+8=83
3x²=83-8
3x²=75
x²=75
3
x²=25
x=√25
x=5
hope it help u.
Solve for x
2(x - 5) = 24
2(x-5) = 24
2x - 10 = 24
2x = 24+10
2x = 34
x = 17
Multiply the following polynomials, then place the answer in the proper location on the grid. Write the answer in
descending powers of x.
(8x + 3)(4x + 7)
Answer:
32x^2+68x+21
Step-by-step explanation:
Answer:
32x^2+68x+21
Step-by-step explanation:
This is right just did this!!
2500 freshmen took an Algebra test through North Carolina Virtual Public school.The
scores were distributed normally with a mean of 75 and a standard deviation of 7.
How many algebra students scored between 68 and 82?
A. 2000
B. 1950
C. 1700
D. 680
Simplefly the problem 1/2x/45>61
Answer:
x>5490
x
>61
x>61×90
x>5490
What is the equation in slope-intercept form for the line that passes
through the points (1, 2) and (3, 4)?
2 plus 2 and 45 plus 68
Answer:
117
Step-by-step explanation:
Answer:
117
Step-by-step explanation:
2+2=4
45+68=113
113+4=117
Write numbers to make each line have the same sum
Answer:
There is nothing here?
Step-by-step explanation:
I need just the answer, no step to step
just divide the price by the amount of oz. I don't have a calculator but that's what you do. Just round according to money.
Answer:
1) [tex]\huge\boxed{\sf 5.7}[/tex]
2) [tex]\huge\boxed{6.4}[/tex]
Step-by-step explanation:
74 oz = $ 4.24
74 oz = 4.25 * 100 cents
74 oz = 425 cents
Divide bot sides by 74
1 oz = 425 / 74 ¢ / oz
1 oz = 5.7 ¢ / oz
[tex]\rule[225]{225}{2}[/tex]
42 oz. = $2.69
42 oz = 2.69 * 100 cents
42 oz = 269 cents
1 oz = 269 / 42 cents
1 oz = 6.4 ¢ / oz
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH18075x2= wat??? i really didnt get this in class and really need help
Answer:
10
Step-by-step explanation:
5 x 2 = 10
Let's put it this way. 5 two times. 5 and 5. 5 + 5
Add them. you get 10.
Answer:
10, bro if you in college like the question says i feel bad for you. other wise you in 2nd grade.
Step-by-step explanation:
Halp pls!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Divide 25000 in the ratio 2:3:5
Pls answer this question
It is reaaaallyy imp
Will mark as brainliest
Let the parts be 2x, 3x and 5x.
Sum= 25000
Therefore,2x+3x+5x=25000
10x=25000
x=25000/10
x=2500
Therefore, parts:-
1. 2×2500=5000
2. 3×2500=7500
3. 5×2500=12500
Answer:
5000, 7500, 12500
Step-by-step explanation:
[tex]2 + 3 + 5 = 10[/tex]
[tex]25000[/tex] ÷ [tex]10[/tex] = [tex]2500[/tex]
[tex]2500[/tex] × [tex]2 = 5000[/tex]
[tex]2500[/tex] × [tex]3 = 7500[/tex]
[tex]2500[/tex] × [tex]5 = 12500[/tex]
[tex]\therefore[/tex] [tex]25000[/tex] will split into [tex]5000[/tex], [tex]7500[/tex], and [tex]12500[/tex].
To check if the answer is correct, you can add the values up and see if they sum up to [tex]25000[/tex]:
[tex]5000 + 7500 + 12500 = 25000[/tex]
Hope this helps :)
Solve each system of equations by elimination.
y= -x+1 y=4x-14
By ELIMINATION
Answer:
X=3, y=-2
Step-by-step explanation:
please graph (-5,2) thank you
Answer:
I hope this helps!!!
Step-by-step explanation:
If logx= -2, what is x?
Tn real estate exam Dan received 7
1questions
what is the inverse function of f(x) = 4x - 1
Answer:
[tex]f(x) = \frac{x + 1}{4}[/tex]
Step-by-step explanation:
To inverse the function switch the places of x and y like this:
x = 4y - 1
Now, solve for y:
[tex]x + 1 = 4y\\\frac{x + 1}{4} = y[/tex]
It's that easy!
I hope this helps!!
- Kay :)
I am an odd number that is less than 10 and is not the number of sides on a triangle.I can be divided by three what number am I?
Answer:
I think that it would be 9 because it is less than ten and can be divided equally by 3.
Step-by-step explanation:
Hello,
2x+1=x(2+0)
True or false???????
Answer:
false right
Step-by-step explanation:
Find the value of x in the triangle shown below.
X
5
6
Answer:
C. x = √61
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²Step-by-step explanation:
Step 1: Define
We are given a right triangle. We can use PT to solve for the missing length.
Step 2: Identify Variables
Leg a = 6
Leg b = 5
Hypotenuse c = x
Step 3: Solve for x
Substitute: 6² + 5² = x²Exponents: 36 + 25 = x²Add: 61 = x²Isolate x: √61 = xRewrite: x = √61Answer: 61
Step-by-step explanation:
25+36=x
61=x
x=61
A polynomial function has x-intercepts at -2, 1/2, and 2 and a relative maximum at x = -1.
Which graph matches the description of this function?
Answer: A :)
Step-by-step explanation:
The function goes through -2, 1/2, and 2, maximum goes through x= -1
By using the information about the x-intercepts and the relative maximum, we can see that the correct option is A.
How to find the correct graph of the polynomial?
First, we know that we have a relative maximum at x = -1, this means that we have a "mountain" at x = -1.
The only two graphs with that feature are A and B.
Now we also know that the x-intercepts are:
-2, 1/2, and 2.
Where the x-intercepts are the values of x at which the graph intercepts the x-axis. There you can see that we have one negative and two positives, from that, we can conclude that the only correct option can be A (because B has two negatives and one positive x-intercepts).
Finally, we conclude that the correct option is A.
If you want to learn more about polynomials, you can read:
https://brainly.com/question/4142886