Reflecting the graph of y = cos(x) is across the x-axis is the same as taking y = -cos(x). Reflecting across the y-axis is the same as taking cos(-x). However, cos(-x) is actually equal to cos(x), not -cos(x), so these two are not equivalent (diagram attached).
I have also attached a graph of these functions. The green line is the reflection over the y-axis, which is the same as the original function. The blue line is the reflection over the x-axis.
A sample of 353 people is surveyed. The people are classified according to political affiliation ("Democrat", "Republican", or "Independent"). They are also
classified according to opinion on a bill ("in favor of", "opposed to", or "indifferent to"). The results are given in the contingency table below.
In favor of
Opposed to
Indifferent to
Democrat
37
33
47
Republican
29
49
35
Independent
41
41
41
What is the relative frequency of respondents who are Republican?
Round your answer to two decimal places.
Х
?
Answer:
[tex]Relative\ Frequency = 0.32[/tex]
Step-by-step explanation:
Given
The table in the attached diagram
Total population of the survey = 353
Required
Relative frequency of respondents who are Republican
First we consider the data in the republican row; this is presented as follows;
Republican: 29 ------ 49 ----- 35
Next, we add up this data to give the total number of respondents who are republicans
Republicans = 29 + 49 + 35
Republican = 113
Recall that
Total population of the survey = 353
The relative frequency is calculated as follow;
[tex]Relative\ Frequency = \frac{Republican}{Total\ Population\ of\ the\ survey}[/tex]
[tex]Relative\ Frequency = \frac{113}{353}[/tex]
[tex]Relative\ Frequency = 0.3201133145[/tex]
[tex]Relative\ Frequency = 0.32[/tex] (Approximated)
Question 1: Classify the system of equations and identify the number of solutions. 3 = 4x + y 2y = 6 − 8x Answers: inconsistent; none consistent, independent; one consistent, dependent; one consistent, dependent; infinite Question 2: Using substitution, identify the ordered pair that is not an element of the solution set of the system of equations. 6x + 3y = 6 2x + y = 2 Answers: (0, 2) (1, 0) (2, −2) (−2, 0)
Answer:
1st: consistent and dependent
2nd: (-2,0). Simply put the called and check.
Answer:
Question 1 Answer: consistent, dependent; infinite
Question 2 Answer: (2, -2) y= 2 - 2x
Step-by-step explanation:
Question 1 explanation: Solve the first equation for y.
3 = 4x + y
3 − 4x = y Subtract 4x from both sides.
y = 3 − 4x Rewrite the equation.
Simplify the second equation by dividing.
2y = 6 − 8x
y = 3 − 4x Divide both sides of the second equation by 2.
Rewrite the system.
y = 3 − 4x
y = 3 − 4x
To make a specific hair dye, a hair stylist uses a ratio of 118 oz of red tone, 34 oz of gray tone, and 58 oz of brown tone. If the stylist needs to make 20 oz of dye, how much of each dye color is needed?
Answer:
11.8 red
3.4 gray
5.8 brown
Step-by-step explanation:
118+34+58=200
If they only need 20, just move the decimal place by one.
11.8 red
3.4 gray
5.8 brown
A pharmacist is filling small empty bottles with cough syrup from a larger bottle. He can solve the inequality to find the number of small bottles, x, that can be filled from the larger bottle and still have 250 milliliters left in the larger bottle. Which statement describes the number of small bottles the pharmacist can fill?×
Answer:
1000 -25x >250.
Step-by-step explanation:
Let us assume the capacity of a large bottle = 1000 ml.
And the capacity of each small bottle = 25 ml.
Reaming milliliters in large bottles = 250 milliliters.
Number of bottles = x bottles.
The total capacity of the large bottle - capacity of a small bottle × number of bottles > Remaining milliliters in a large bottle.
Therefore, we can set up an inequality.
1000 - 25 × x > 250.
1000 -25x >250.
PLEASE HELP The number of bagels sold daily for two bakeries is shown in the table: Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Explain. 1 Mean for both bakeries because the data is symmetric 2Mean for Bakery B because the data is symmetric; median for Bakery A because the data is not symmetric 3 Mean for Bakery A because the data is symmetric; median for Bakery B because the data is not symmetric 4 Median for both bakeries because the data is not symmetric
Answer:
4
Step-by-step explanation:
its unclear what the standard for "symmetric" is though both data points have large and small numbers ranging from the 10-40+ thus, the data range is large and the mean will not accurately represent the data well. Thus median would be best
for a certain sequence of numbers the sum of the first n numbers in the sequence is given by n^3 + 4n for all positive integers n. what is the tenth number in the sequence
Answer:
1040
Step-by-step explanation:
10^3+4(10)=
1000+40=
1040
Tenth number in the sequence is 1040.
What is sequence?A sequence is a list of ordered numbers. For example, 1, 2, 3, 4, 5.... is a sequence. The numbers are listed in a specific order when we count. Sequences often have specific ways they relate and can be analyzed using products and sums to identify and work with sequences.
Given
Sequence is [tex]n^{3} +4n[/tex] for all positive integers n.
Tenth number in the sequence:
n(10) = [tex]10^{3} +4(10)[/tex]
Tenth number = 1040
Hence, Tenth number in the sequence is 1040.
Find out more information about sequence here
https://brainly.com/question/12491544
#SPJ3
solve by elimination x-5y=35 and 3x-6y=51
Answer: x=5 y=-6
(5,-6)
Step-by-step explanation:
Solve by elimination
[tex]\begin{bmatrix}x-5y=35\\ 3x-6y=51\end{bmatrix}[/tex]
multiply x-5y=35 by 3
= 3x-15y=105
[tex]\begin{bmatrix}3x-15y=105\\ 3x-6y=51\end{bmatrix}[/tex]
[tex]3x-6y=51[/tex]
-[tex]\underline{3x-15y=105}[/tex]
[tex]9y=-54[/tex]
divide 9 on both sides
y= -6
Now solve for x
you must plug in -6 for y in either equations
i plugged in -6 for y in 3x-15y=105
[tex]3x-15\left(-6\right)=105[/tex]
[tex]3x+15\cdot \:6=105[/tex]
[tex]15\cdot \:6=90[/tex]
[tex]3x+90=105[/tex]
subtract 90 on both sides
[tex]3x=15[/tex]
[tex]\frac{3x}{3}=\frac{15}{3}[/tex]
[tex]x=5[/tex]
Please mark brainliest
Answer:
x=5
y= -6
Step-by-step explanation:
equ= equation
x - 5y= 35 ----- equ (1)
3x - 6y= 51 ----- equ (2)
Multiply equ (1) by 3
3x - 15y= 105 ----- equ(3)
3x - 6y= 51 ----- equ(4)
Subtract equ(4) from equ(3)
-9y= 54
y= -6
Substitute value of y into equ(1)
x - 5 x -6= 35 (the second x here means multiplication)
x + 30= 35
x= 5
is 5 rational or irrational
Answer:Rational
Step-by-step explanation:
Every integer is a rational number, since each integer n can be written in the form n/1.
Answer:
Rational
................
helppp plz help need help
Answer:
D. highly unlikely
Step-by-step explanation:
There are 20 total outcomes.
The number 1 is only 1 outcome out of 20 outcomes.
The probability of it landing on 1 is 1/20.
0 - impossible
0.1 - highly unlikely
0.25 - unlikely
0.5 - even
0.75 - likely
0.9 - highly likely
1 - certain
1/20 = 0.05
0.05 is highly unlikely.
Answer:
highly unlikely
Step-by-step explanation:
There is 1 number 1
P( 1) = 1/20
This is highly unlikely
Which expression can be used to find the surface area of the following triangular prism? And stop reporting my question!
Answer:
S.A=132
Step-by-step explanation:
A=[[tex]\frac{1}{2}[/tex] x b x h]2
A=[tex]\frac{1}{2}[/tex] x 4 x 3 x 2 12+50+40+30=132
A=12 cm²
A=L x W
A=10 x 5=50
A=L X W
A=10 X 4=40
A=L X W
A=10 X 3=30
Each triangular end has a surface area of (1/2)(base)(height), which in this case is (1/2)(4)(3), or 6 units^2. There are two ends, so the total area of the ends is 12 units^2. The three remaining sides account for the surface area
(4)(10) + (5)(10) + 3(10). or 120.
The sum of the surface areas of all five areas is 120 + 12 units^2, or 132 units^2
.Answer:
132 units^2
You are going to a movie, and your friend says it is showing some time on the weekend between noon and 8, but won't say when, exactly.What are the chances itis playing on Sunday between 6 and 8?
Answer:
The chances are 1/6 because 6-8 is 1/6 of the possible timings.
:)
Answer:
7/8
Step-by-step explanation:
Because it is 8 hours combined (noon to 8) 8 will be the denominator and since it is 3 hours (6 to 8) 3 is the numerator. Keep that aside.
Since there are 2 days in a weekend 2 will be the denominator and since it is on Sunday 1 will be the numerator.
So 3/8 + 1/2 = 7/8
Find the mean absolute deviation (MAD) of the data in the bar chart below.
Answer:
1.5
Step-by-step explanation:
84"
7'
A
B
Given the conversion factor 12 in, which line segment is longer?
O A. Line segment A
O B. Line segment B
O C. They are the same size.
At the beginning of the year, Adrian's savings account balance was $28. Each week, he deposits another $15 into that account, and he doesn't spend any of his savings.
Answer:
808$
Step-by-step explanation:
This isn't very clear, when does he stop saving?
I'm going to assume that he stops at the end of the year at which case that would just be 15 multiplied by 52 plus 28
The number of pizzas sold in one weekend at Pete's Pizzas is shown. Pie chart of pizza sales. Data includes 130 hamburger, 175 pepperoni, 60 cheese, and 35 veggies.
a) If Pete's sales remain consistent, how many pepperoni pizzas will he have sold when the total number of pizzas sold reaches 1600?
b) How would the circle graph be different if Pete had sold 200 pepperoni pizzas, 100 hamburger pizzas, 50 veggie pizzas, and 50 cheese pizzas?
Answer:
a) 560
b) The Hamburger section will become smaller, the pepperoni will get bigger, the veggie pizza area would increase and the cheese section will decrease.
Step-by-step explanation:
a) 400 pizzas were originally sold (add all pizzas)
1600/400=4
Therefore, 175 (pepperoni pizzas) *4 = 560.
b) Find the difference between the original amount compared to the new amounts to determine what will happen to the size of each sector.
Hope that helped!!! k
50pts + brainliest pls helllppppppppppppppppppppp
find the equation of straight line passing through (1,-1) and (3,-5) pls help im in online class and i have to answer pls helllllllllllppppppppppppppp
Answer:
Equation y = -2x -3
Step-by-step explanation:
(1,-1) (3,-5)
Slope = -5-(-1) / 3-1 = -5+1/2 = -4/2 = -2
y = mx + K
-1 = -2(1) + k
-1 = -2 + k
k = 1
Equation y = -2x+1
Answer:
Step-by-step explanation:
slope=(y2-y1)/(x2-x1)=(-5-(-1))/(3-1)=(-5+1)/2=-4/2=-2
y-y1=m(x-x1)
y-(-1)=-2(x-1)
y+1=-2(x-1)
y+1=-2x+2
y=-2x+2-1
y=-2x+1
Find the value of x. please help will give brainliest
Answer:
24°
Step-by-step explanation:
Bigger Triangle
180°-94°-41°= 45° ( Angles sum in a triangle)
Smaller Triangle
180° - 45°- 111° = 24° (Angles sum in a triangle)
Therefore X = 24°
Hope this helps.
Answer:
24
Step-by-step explanation:
First we will find the last angle of the big triangle.
1). 94 + 41 + y = 180
y = 45
Now we know the value of 2 angles in the smaller triangle, so we can find x.
1). 111 + 45 + x = 180
x = 24
Hope this helps))
The graph below shows four straight lines, A, B, C, and D: graph of line A going through ordered pairs negative 2, negative 3 and 2, 5. Graph of line B going through ordered pairs negati Which line is represented by the function f(x) = 2x + 1? (1 point) Line A Line B Line C Line D
The only line that has a y-intercept of 1 is Line A, therefore, the line that represents the given function is: Line A.
Linear Equation of a FunctionA linear equation that represents a line that has m as slope and b as y-intercept is given as y = mx + b.
Therefore, the line that represents the linear equation of the function, y = 2x + 1 , will have a slope of 2 and a y-intercept of 1.
Thus, the only line that has a y-intercept of 1 is Line A, therefore, the line that represents the given function is: Line A.
Learn more about linear equation function on:
https://brainly.com/question/15602982
Answer:
this will be the first graph
A
Step-by-step explanation:
Which expression can be used to find the surface area of the following square pyramid?
Answer:
4[1/2(5 x 6)] + 6x6
Step-by-step explanation:
The first part of the expression is 4[1/2(5 x 6)]. This is the formula to find the surface area of the triangles. A regular triangle's area is 1/2(l*w). Since there are four trinagles, you have to multiply the whole expression by 4.
The second part of the equation is finding the surface area of the base which is a square. Since squares have four equal sides, its safe to say that you can use 6 * 6.
Hope that helped!
if the standard deviation of a variable is 8, what is the variance?
Answer:
r]
Step-by-step explanation:
FIRST GETS BRAINLLEST If you spin the spinner below 240 times, which of the following outcomes are reasonable? Select all that apply. A) Lands on blue 131 times B) Lands on yellow 95 times C) Lands on red 95 times D) Lands on blue 210 times
Answer:
it is d
Step-by-step explanation:
it is because d has more parts so it would land on it more then yellow and have a higher chance to land on blue
hope this helps
Answer:
C is the most reasonable.
Step-by-step explanation:
So we can put it in a ratio of 4:3:1. Then add all those up and do 240/8 which is 30. So each number in the ratio is 30. Then we do 4*30=120. 3*30=90. 1*30=30. Both red and blue are close to there answers but red is closer.
Walter lost his favorite book. He used the map below to discover that he is currently at point (1, 6). He determined that his book is 5 units either to the west or south of his current location. Which of these could be the location of the book? (-4, 6) (1, -1) (-4, 1) (6, 6) (6, -4) (1, 1)
Answer:
(-4, 6)
Step-by-step explanation:
If his book was 5 units to the west, it would be at (1 - 5, 6) = (-4, 6) and if it was 5 units to the south it would be at (1, 6 - 5) = (1, 1). Therefore, (-4, 6) is the answer because (1, 1) isn't an answer choice.
Which category BEST fits the words on List 2? championship, challenge, tournament, rivalry, sports, performance, pageant, match. CHOICES: prizes, competitions, games, celebrities. I nEeD aNsWeR iN 24 hOuRs PlZ!!!!!!!!
Answer:
competitions
Step-by-step explanation:
I got it right.
Find how many quarts of 4% butterfat milk and 1% butterfat milk should be mixed to yield 45 quarts of 2% butterfat milk. The mixture should contain _______quarts of the 4% butterfat milk.
Answer:
15
Step-by-step explanation:
30 quarts of 1 percent combined with 15 quarts of 4 percent would equal 45 quarts of 2%
which dimensions cannot create a triangle? Three angles measuring 10, 25, and 145, three sides measuring 9m,15m, and 9m, three sides angles measuring 40,70, and 65, three sides measuring 6cm,8cm, and 10cm
Answer:
Three angles measuring 40, 70, and 65
Step-by-step explanation:
The angles of a triangle must total 180.
40+70+65=175, so it cannot be a triangle.
Which is a correct step to solve the equation 1=−4+3/8x
A.4(1)=4(−4+3/8x)
B.1=8(−4+3/8x)
C.8(1)=8(−4+3/8x)
D.3(1)=3(−4+3/8x
Can someone please help me
Answer:
C. 8(1)=8(−4+3/8x)
Step-by-step explanation:
Given equation
1=−4+3/8x
in this equation in denominator we have 8x,
since we are solving for x we cannot eliminate it, but we have to eliminate 8 in denominator, so that there only numerator in equation and solving process becomes easier.
To eliminate 8,we need to multiply both side by 8, so as to balance the equation and also 8 from denominator gets cancelled in RHS.
1=−4+3/8x
multiply both side by 8
8(1)=8(−4+3/8x)
Thus, option c is correct one
8(1)=8(−4+3/8x)
solving it
8 = -32 + 3/x
adding both side 32
8+32 = -32 + 3/x -32
=> 40 = 3/x
=> x = 3/40
Write a word phrase that represents x + 5.
Answer:
5 added to a number, x.
Step-by-step explanation:
I phrased it like other ones I saw before so... :) (Also if you ask someone to write it, I'm sure they'd get x+5)
Answer:5 added to a number, x
Step-by-step explanation:
Mark decided to donate a lot of his shirts to two different organizations and keep
the rest. First he 1/10 donated of his shirts to his church, and then he donated 2/3 of
what was left to a consignment shop.
1) What fractional part of his shirts did he donate to the consignment shop?
2) What fractional part of his shirts did he keep?
3) If Mark kept 15 shirts, how many shirts did he donate?
(also please help me with drawing a picture that's a fraction to shade in for the problem)
Answer:
1.) 3/5
2.) 3/10
3.) 50
Step-by-step explanation:
i believe my answers are right, they might be wrong. I'm not that old so I can't solve most of these problems.
1.) to get this, you need to multiply the remaining shirts and 2/3
2.) subtract 1/10, and 3/5 from 1, which equals 3/10
3.) is 3/10 is equal to 15, then 1/10 is equal to 5, 5*10=50
Answer:
1) 3/5
2) 3/10
3) 35
Step-by-step explanation:
For majority of the questions, you just have to multiply the numbers together. I think all of them is right... T-T
sry if its wrong.. :|
Calvin took his friends to a movie for his birthday. The movie tickets cost $12 per person. He spent less than $180. If x is the number of friends he took along, then the inequality that represents the situation is 12x≤180 180x ≥12 x+12≤180 12+x≥180 . Calvin took at most friends to the movie. 13 14 15 16
Answer:
12x<180
14
Step-by-step explanation:
12x<180
x<180/12
x<15
Since x has to be less than 15, he took at most 14 people.
Write an equation in slope-intercept form for the line that satisfies the following condition.
passes through (8, 10), parallel to the graph of y = x +7.
Select one:
Answer:
y=8/3x-34/3
Step-by-step explanation: If the line is parallel to y=8/3x+7, then the slope must be 8/3. So, we can eliminate A and B. Now, let's take C, and plug in (8, 10) into the equation. We end up with 10=64/3-34/3. 64-34=30. 30/3=10. 10 = 10. So, C is the correct answer. No need to check for D.