Which expression is equivalent to 2cos^2(x/2)- cos(x)?
Edge 2020
Given:
The expression is
[tex]2\cos^2(\dfrac{x}{2})-\cos (x)[/tex]
To find:
The expression which is equivalent to the given expression.
Solution:
We have,
[tex]2\cos^2(\dfrac{x}{2})-\cos (x)[/tex]
We know that,
[tex]\cos x=2\cos^2 (\dfrac{x}{2})-1[/tex]
Using this formula, the given expression can be written as
[tex]2\cos^2(\dfrac{x}{2})-\left(2\cos^2(\dfrac{x}{2})-1\right)[/tex]
[tex]=2\cos^2(\dfrac{x}{2})-2\cos^2(\dfrac{x}{2})+1[/tex]
[tex]=1[/tex]
Therefore, the given expression is equivalent to 1.
Answer:
B
Step-by-step explanation:
Which point is NOT part of the solution set?
A. (-1, -3)
B. (5, 1)
C. (20, -5)
D. (0, 0)
Answer:
c becues its a bigger number
Step-by-step explanation:
Answer: A. (-1, -3)
This point is on the boundary line, but the boundary line is a dashed line. So this point is not part of the solution. The dashed line is like an electric fence you can get closer to, but you cannot touch it. It's due to the fact there isn't any "or equal to" as part of the inequality sign. So that's why (-1,-3) is not in the solution set. If the boundary line was solid, then (-1,-3) would be a solution.
Points like (5,1), (20,-5) and (0,0) are solutions because they are in the pink shaded region, and they aren't on the boundary.
Explain to me in words how you would find the slope of this line
Answer:
Step-by-step explanation:
go from one point to the other. From the left point to the right point you are running across (to the right) three times. Then you are ¨rising¨ (going down) once. going to the right is positive. If you are going down its negative. Vise versa. The formula is Rise/Run. your answer would be -1/3. the one is negative because it went down.Then divide it and you have -0.333. I hope I helped!
if the slope is -3/5 and the y intercept is 1 what is the slope intercept form of the equation of each line given the slope and y intercept
Answer:
y = -3/5x + 1
Step-by-step explanation:
can yall plz help me with this science qustion
Answer:
True
Step-by-step explanation:
The density D of an object is the quotient of its mass m and its volume v
50+100n please awnser thisssssssssssssssssssssssssssssssssssssssssssssssss
Answer:
5 ( 1 + 20 n )
Step-by-step explanation:
Answer:
Your answer will be 150
Step-by-step explanation:
your answer going to be 150
Help!!!! I don't get this!!!!!!
Answer:
C
Step-by-step explanation:
One pound (lb) is equal to 16 (oz). So, if you are trying to find how many ounces are in one pound, you have to divide the number of pounds by the 16, the amount of ounces in one pound.
What is 48 square feet in square meters
Answer: 4.45935
Step-by-step explanation: 1 Square foot (sqft) is equal to 0.09290304 square meter (sqm). For example, to convert 100 square feet to square meters, multiply 100 by 0.09290304, that makes 9.290304 sqm is 100 sqft. Hope this helps.
Find the equation of the line. The line is parallel to y=-6/7x +1 and passes through the point (-7, -3). The equation of the line is y=
Answer:
same slope but the y- intercept would be -9
At the end of week 3 of my baseball team's season, our rcord is 5 wins and 7 looses. Each week after that, we wim 3 games and lose 1 game. At the end of which week will my team have first won at least twice as many games total this season as it has lost?
Answer:
9 weeks
Step-by-step explanation:
Researchers are interested in assessing if there is an association between dietary cholesterol intake and high blood pressure. The following data was summarized:
Blood Pressure
Dietary Cholesterol High Low Total
High 159 91 250
Low 78 172 250
Total 237 263 500
Required:
a. Estimate the conditional probabilities of high and low blood pressures given the level of dietary cholesterol.
b. Compute an estimate of the odds ratio of high blood pressure for the two groups
c. Interpret the odds ratio and determine if high blood pressure is related to dietary cholesterol.
Answer:
A) Conditional probability for a high BP given that dietary cholesterol is high as well
P = 159 / 250
Conditional probability for a high BP given that dietary cholesterol is low
P = 78 / 250
Conditional probability for a low BP given that Dietary cholesterol is high
P = 91 / 250
Conditional probability for a low BP given that Dietary cholesterol is low
P = 172 / 250
B) High BP for High dietary cholesterol
= 159 / 237
High BP for low dietary cholesterol
= 78 / 237
C) The odds ratio shows that BP is directly proportional to Dietary cholesterol
Step-by-step explanation:
A) estimate the conditional probabilities of high and low blood pressures given the level of dietary cholesterol
Conditional probability for a high BP given that dietary cholesterol is high as well
P = 159 / 250
Conditional probability for a high BP given that dietary cholesterol is low
P = 78 / 250
Conditional probability for a low BP given that Dietary cholesterol is high
P = 91 / 250
Conditional probability for a low BP given that Dietary cholesterol is low
P = 172 / 250
B) Compute an estimate of the odds ratio of high blood pressure for the two groups
High BP for High dietary cholesterol
= 159 / 237
High BP for low dietary cholesterol
= 78 / 237
C) Interpret the odds ratio and determine if high blood pressure is related to dietary cholesterol.
The odds ratio shows that BP is directly proportional to Dietary cholesterol as seen in the the odds ratio that ratio between High BP and High Dietary cholesterol is higher than other odds ratios
x-intercept=? y-intercept=? What is the slope?
Answer: x=1 y=-3
just look where the line touches mane
5. My red or blue shirt club has 32 members. If the number of people wearing read shirts
is 4 less than triple the number of people wearing blue shirts, how many people are
wearing red shirts?
Answer:
(red shirt people) r - 4[tex]\sqrt[3]{b}[/tex] (blue shirt people)
Step-by-step explanation:
I don't know if you want an equation or an exact answer. I have an equation though.
I got this answer like this:
4 less is minus 4
triple is multiplication and/or times
After simplifying the following expression, the coefficient of the m^2 term will be ______.
6mn^2 + 3m^2 + 16m^2 - 6m^2 - 5nm^2
The solution is ______
Answers:
After simplifying the following expression, the coefficient of the m^2 term will be 13
The solution is 13m^2 + 6mn^2 - 5nm^2
====================================================
Explanation:
Highlight all the terms that have m^2 in them and nothing else (so that means no variables of n or n^2)
You should highlight 3m^2, 16m^2 and -6m^2 as the three terms.
The coefficients 3, 16 and -6 combine to 3+16-6 = 13
Meaning that 3m^2+16m^2-6m^2 = 13m^2
----------------
There are no other like terms that pair up.
The 6mn^2 and -5nm^2 are different because the exponent 2 is over a different letter each time. Put another way: mn^2 is not the same as nm^2
So we cannot combine 6mn^2-5nm^2. We leave it as is.
Overall, the entire expression simplifies to 13m^2 + 6mn^2 - 5nm^2
Explain to me in words how you would find the slope of this line and explain how you got your answer
Answer: m= 5/3
Step-by-step explanation: the point were at (-1,2) (-4,-3)
m= y2-y1/ x2- x1
m= -3-2/ -4 (-1)
m= -5/-3
m= 5/3
( hope this helps)Which of the expressions below is greater than 15? Select all that apply.
A) 4.583 + 10.673
B) 26.712 – 11.348
C) 45.768 – 28.945
D) 7.312 + 7.145
E) 11.32 + 3.11
Answer:
A
B
C
Step-by-step explanation:
Natalie and Phil ran for 6th grade class president. The ratio of votes for Natalie to votes for Phil was 4:3.
Which statement is true?
For every vote Phil received, Natalie received 4 votes.
For every vote Phil received, Natalie received 4 votes.
For every vote Phil received, Natalie received 3 votes.
For every vote Phil received, Natalie received 3 votes.
For every 4 votes Natalie received, Phil received 7 votes.
For every 4 votes Natalie received, Phil received 7 votes.
For every 4 votes Natalie received, Phil received 3 votes.
Answer:
Por cada 4 votos que recibió Natalie, Phil recibió 3 votos.
Step-by-step explanation:
Simplify 7x(2-x)+x^3+2(x^2-6x)
The answer fam is........x^3 - 5x^2 + 2x
The hiking path to the top of a mountain makes, at the steepest place, an angle of 20° with the
horizontal, and it maintains this constant slope for 500 meters, as illustrated below. Which of the
following is the closest approximation to the change in elevation, in meters, over this 500-meter
section?
500 meters
20
A 20
B) 170
180
D 250
We are given:
a right angled triangle with the angle of elevation = 20 degrees
Hypotenuse of the Triangle = 500 m
Finding the change in Elevation:
We will use trigonometry in the given triangle to find the length of the perpendicular of the triangle
Using trigonometry, we found that the perpendicular = 500 * Sin 20 degrees
Perpendicular = 500 * 0.342 [sin(20 degrees) = 0.342]
Perpendicular = 171 m
The closest value to 171m in the given options is 170m
Therefore, 170m (option B) is correct
What are some important things I should put in my notes about ratios(In 6th grade so nothing to high up I wouldn't know about)
Answer:
some tips
Step-by-step explanation:
- Ratios can include fraction forms, ex; 5/3. using the word 'to', ex; 5 to 3, and using the colon symbol. 5:3. Do not put ratios in number order like least to greatest values, ever, because the order they come in matter. Make sure to always simplify if possible. ex; 5:25 = 1:5 . thats it, if you get any of the points down then you got it.
1) The width of a rectangle is 6 meters less than its length. The area is 315 square meters. Find the length of the
rectangle
Answer:21
Step-by-step explanation:
x=length
x(x-6)=315
x^2-6x=315
x^2-6x-315=0
(x-21)(x+15)
x=21, x=-15
x cannot be negative so the only answer is 21
Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)
Answer:
195
Step-by-step explanation:
Divide 91/7 which is 13 and multiply that by 15 to get the value of y when x is 15
I need help
With this please
Answer:
Ima be straight up with you im 1 awnser away from getting 50 points but ill find the answer for ya
Step-by-step explanation:
-3a-3=-2n+3p solve for a
Answer:
a=−2n3−p−1a=-2n3-p-1
Answer:
a=−2n3−p−1a=-2n3-p-1
Step-by-step explanation:
PLEASE HURRY What is the slope of the line?
Group of answer choices
y = -3/4x - 1
y = 4/3x - 1
y = -3/4x + 1
y = -4/3x + 1
What is the range of the function f(x) = 12 − 3x for the domain {-4, -2, 0, 2, 4}?
Answer:
{24, 18, 12, 6, 0} is the range of the above function
Step-by-step explanation:
solution:
let, x= -4
f(-2) = 12-3*(-2)
= 12+12
=24
let,x= -2
f(-2) = 12-3*(-2)
=12+6
18
let,x =0
f(0)= 12-3*0
=12-0
=12
let,x=2
f(2) = 12-3*2
=12-6
=6
let,x=4
f(4) = 12-3*4
=12-12
=0
The following two-way table shows the responses from a group of people, categorized by age-group, when asked about their favorite types of vacations.
Which of the following statements is not supported by the table?
1.)More people chose relaxation than any other vacation type.
2.)Each vacation type was selected by the same number of people in the under-21 age-group.
3.)In the 21 to 35 age-group, nature was chosen by the least number of people.
4.)Of all the vacation types, nature was chosen by the least number of people.
5.)The percentage of people that chose relaxation was equal for each age-group.
Answer:
The percentage of people that chose relaxation was equal for each age-group.
Step-by-step explanation:
Answer:
5 or E- The percentage of people that chose relaxation was equal for each age group
Step-by-step explanation:
You can use the process of elimination where every other answer choice is correct except for the last one. Otherwise, the percentages for each group of age group are all different as shown on the margins, which is why it is incorrect. Therefore, that is the correct answer for this problem.
What is 55/99 Rounded to the nearest half
Answer: 1/2
Step-by-step explanation:
Answer: 1/2 is your answer:)
Step-by-step explanation: 50 rounded to the nearest tenth is 50
99 rounded to the nearest tenth is 100 and
50 is half of 100:)
There are 12 more apples than oranges in the basket of 36 apples and oranges. How
many apples are there in the basket?
Step-by-step explanation:
Required Answer:-Total number of fruits=36Let
the number of oranges =x
The number of apples=x+12
ATQ[tex]{:}\leadsto [/tex][tex]\sf x+x+12=36 [/tex]
[tex]{:}\leadsto [/tex][tex]\sf 2x+12=36 [/tex]
[tex]{:}\leadsto [/tex][tex]\sf 2x=36-12 [/tex]
[tex]{:}\leadsto [/tex][tex]\sf 2x=24 [/tex]
[tex]{:}\leadsto [/tex][tex]\sf x={\dfrac {24}{2}}[/tex]
[tex]{:}\leadsto [/tex][tex]\sf x=12 [/tex]
Number of Apples =12+12=24Answer:
24 apples
Step-by-step explanation:
apples = x
oranges = y
y+12 = x
x+y = 36
y+y+12 = 36
2y = 24
y = 12
x = 24
PLS GIVE BRAINLIEST