Answer:
A,C,D,E
Step-by-step explanation:
4+4+1+1= 10
2+2+3+3= 10
Given the linear equation y - 5x = 6. Which statements are correct?
Answer: B and D
Step-by-step explanation:
B and D
Find the area of this parallelogram.
13 cm
15cm
20cm
I am sorry but there is no parallelogram
Which trigonometric function is an odd function and why?
The cosine function is odd because it is represented by the x-coordinate of the points on the unit circle, and therefore cos(x) = cos(-x).
The sine function is odd because it is represented by the y-coordinate of the points on the unit circle, and therefore sin(-x) = - sin(x).
The cosine function is odd because it is represented by the x-coordinate of the points on the unit circle, and
therefore cos(-x) = cos(x)
The sine function is odd because it is represented by the y-coordinate of the points on the unit circle, and therefore sin(x) = sin(-x).
Answer:
second choice is the answer or it can be
The correct answer is option B.
What is odd function?"A function [tex]f(x)[/tex] is an odd function when [tex]f(-x)=-f(x)[/tex] ."
For given question,
Consider points A and B on the coordinate plane as shown in following image.
Let, line segment OA makes an angle of [tex]\theta[/tex] with x-axis and ∠COB = [tex]-\theta[/tex]
So, the coordinates of points on unit circle with radius 'r' would be, A[tex](cos \theta, sin\theta)[/tex] and B[tex](cos(-\theta),sin(-\theta) )[/tex]
Let, AC = y, BC = -y and OC = m
Now, consider sine function
[tex]sin\theta=\frac{AC}{OA}\\[/tex]
⇒[tex]sin\theta=\frac{y}{r}[/tex] ........................(1)
And, [tex]sin(-\theta)=\frac{BC}{OB}[/tex]
⇒ [tex]sin(-\theta)=\frac{-y}{r}[/tex]
⇒ [tex]sin(-\theta)=-(\frac{y}{r})[/tex] .......................(2)
⇒ [tex]sin(-\theta)=-sin\theta[/tex] ......................(From (1) and (2))
Now, consider cosine function
[tex]cos\theta=\frac{OC}{OA}[/tex]
⇒ [tex]cos\theta=\frac{m}{r}[/tex] ...........................(3)
And, [tex]cos(-\theta)=\frac{OC}{OB}[/tex]
⇒ [tex]cos(-\theta)=\frac{m}{r}[/tex] ...........................(4)
⇒ [tex]cos(-\theta)=cos\theta[/tex] ...........................(From (3), (4))
Hence, sine function is odd because it is represented by the y-coordinate of the points on the unit circle, and therefore sin(-x) = - sin(x).
Therefore, the correct answer is option B.
Learn more about odd function here,
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If f(x) = x^2 + 2x - 4 and g(x) = - 4x +1, what is (g-f)(x)?
===================================================
Work Shown:
(g - f)(x) = g(x) - f(x)
(g - f)(x) = (-4x+1) - (x^2+2x-4)
(g - f)(x) = -4x+1 - x^2-2x+4
(g - f)(x) = -x^2+(-4x-2x)+(1+4)
(g - f)(x) = -x^2 - 6x + 5
* Will Mark BRAINLIEST * fast plss!! *easy*
I think it might be B or D.
(Pre-Algebra)
(08.02)How many solutions are there for the system of equations shown on the graph?
A) No solution
B) One solution
C) Two solutions
D) Infinitely many solutions
Answer:
One Solution (C)
Step-by-step explanation:
This is one solution because they only intersect once. No solution=no intersect 2 solution=intersect twice infinite solutions= same line
Johnnas reading rate is 150 words per minute she is reading a 364 page book that has about 275 words on each page at this rate which is the closest to the amount of times johnna should take to read the book
Answer:
11 hrs 1 min (i think so based on math)
Step-by-step explanation:
If Johnna's reading rate is 150 words per min and there are 364 pages with about 275 words, you need to multiply 364 and 275 to get 100100 and divide that by 150 to get 667.3333333 round to the nearest tenth which will give you 667.3 and divide that by 60 because there are 60 minutes in an hour to get 11.12222222 and round that to the nearest tenth to get 11.1 which means it will take Johnna 11 hours and 1 minute to read the book. I hope this is correct I'm really sorry if it isn't. :P
If a patient smokes 2 packs of cigarettes per day for 20 years how many pack are smoke per year?
Answer:
730
Step-by-step explanation:
2x365=730
Use the graph that shows the solution to f(x)=g(x).
f(x)=73x−3
g(x)=2x−4
What is the solution to f(x)=g(x)?
Select each correct answer.
−12
0
2
3
9514 1404 393
Answer:
x = 0, x = 3
Step-by-step explanation:
It appears your equations are intended to be ...
f(x) = (7/3)x -3
g(x) = 2^x -4
These are the equations that are graphed in your second attachment. The graphs cross at x=0 and x=3.
The solutions to f(x) = g(x) are x ∈ {0, 3}.
Which statement is not always true?
the following are the heights in centimeters of 15 randomly selected students. Find the mean height of the students.
Answer: where's the heights?
Step-by-step explanation:
(-4)x(-6) what is the answer
Answer:
24
Step-by-step explanation:
( - 4 ) x ( - 6 ) = 24
24 is the answer.
HELP ASAP
thanks you
Answer:
Value of the given expression will be 19.
Step-by-step explanation:
We have to find the value of the given expression for a = 3, b = 5 and c = 12
Expression → |a + 1| + |b - c| - |-8|
We will use the property of absolute value,
|+a| = a
|-a| = a
By substituting the values of a, b and c in the given expression,
|a + 1| + |b - c| - |-8| = |3 + 1| + |5 - 12| - |-8|
= |4| + |-7| - |-8|
= 4 + 7 + 8
= 19
Therefore, value of the given expression will be 19.
Help please will mark brainliest!
Answer:
Step-by-step explanation:
I'm gaAy and I want some imma boy
Eight trials are simulated. The results are shown in the table. Simulation 112 106 105 110 109 108 111 105 What is the estimated margin of error, using standard deviation? Enter your answer, rounded to two decimal places, in the box.
Answer:
2.33
Step-by-step
i took the test :)
The margin of error of the 8 simulations is 0.89z
How to determine the margin of error?The dataset is given as:
112 106 105 110 109 108 111 105
Using a graphing calculator, the standard deviation is:
σ =2.53
The margin of error is then calculated using:
[tex]E = z * \frac{\sigma}{\sqrt n}[/tex]
Where z represents the critical value
So, we have:
[tex]E = z * \frac{2.53}{\sqrt 8}[/tex]
Evaluate
E = 0.89z
Read more about margin of error at:
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Sarah drove 116 miles in 4 hours. If she drove at a constant rate, how far did she travel each hour?
Answer:
28 because 116÷4=29 so she traveled 28 miles per hour
Answer:
Sarah drove 29 miles per hour.
Step-by-step explanation:
116 divided by 4 is 29.
Find the volume of each figure. Round your answer to the nearest tenth, if necessary
Answer:
V = 168 km³
Step-by-step explanation:
We are given a triangle prism.
Volume of a triangle prism = ½*a*c*h
Where,
a = 8 km
c = 6 km
h = 7 km
Substitute
V = ½*8*6*7
V = 4*6*7
V = 168 km³
Y varies inversely with x and when x = 7, y = 15. Find x when y = 21
x=
Answer:
x = 5
Step-by-step explanation:
Use the inverse variation equation, y = k/x
Plug in 7 as x and 15 as y, then solve for k:
y = k/x
15 = k/7
105 = k
So, the equation is y = 105/x
Find x when y = 21 by plugging in 21 as y:
y = 105/x
21 = 105/x
21x = 105
x = 5
So, when y = 21, x = 5
what is the name of this angle
Answer:
Acute
Step-by-step explanation:
The angle appears to be less than 90 degrees making it an acute angle. Angles above 90 degrees are obtuse angles.
A chemist has three different acid solutions. The first acid solution contains 25 % acid, the second contains 45 % and the third contains 90 %. He wants to use all three solutions to obtain a mixture of 50 liters containing 70 % acid, using 2 times as much of the 90 % solution as the 45 % solution. How many liters of each solution should be used?
the chemist should use:
Answer:
Wyzant
ALGEBRA WORD PROBLEM
Dorian S. asked • 06/28/17
THREE LINEAR EQUATIONS WITH THREE VARIABLES
A chemist has three different acid solutions. The first acid solution contains 15% acid, the second contains 25%,
and the third contains 70%. He wants to use all three solutions to obtain a mixture of 40 liters containing 45%
acid, using 2 times as much of the 70% solution as the 25% solution. How many liters of each solution should be used?
How to set up as three linear equations to find the answer?
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Add comment
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1 Expert Answer
By:
Best
Arthur D. answered • 06/28/17
TUTOR 4.9 (67)
Forty Year Educator: Classroom, Summer School, Substitute, Tutor
ABOUT THIS TUTOR ›
set up 2 equations
the first equation...
15%*x+25%*y+70%*2y=45%*40
0.15x+0.25y+1.4y=0.45*40
0.15x+1.65y=18
multiply all terms by 100
15x+165y=1800
divide all terms by 15
x+11y=120
the second equation...
x+y+2y=40
x+3y=40
x=40-3y
substitute into the first equation x+11y=120
40-3y+11y=120
40+8y=120
8y=120-40
8y=80
y=80/8
y=10 liters
x+3*10=40
x+30=40
x=40-30
x=10 liters
10 liters of 15%, 10 liters of 25%, and 20 liters of 70%
check:
10*15%=1.5
10*25%=2.5
20*70%=14
1.5+2.5+14=18
18/40=9/20=45/100=45%
45%*40=18
hope it helps
please mark brainliest
PLS HELP WITH THESE THREE NO LINKS
Answer:
1. 6/15, 0.4, 40%
2. 0.15, 15%
3. 18 green marbles
Step-by-step explanation:
[tex]tan20+4sin20=\sqrt{3}[/tex]
tan( 20 ) + 4 Sin( 20 ) =
( Sin( 20 ) / Cos( 20 ) ) + 4 Sin( 20 ) =
Sin( 20 ) + 4 Sin( 20 ).Cos( 20 ) / Cos( 20 ) =
Sin( 20 ) + 2 × 2 Sin(20).Cos(20)/ Cos(20) =
Sin( 20 ) + 2 × Sin( 40 ) / Cos( 20 ) =
Sin( 20 ) + 2Sin( 40 ) / Cos( 20 ) =
Sin( 20 ) + 2Cos( 50 ) / Cos ( 20 ) =
Sin( 20 ) + 2Cos( 20 + 30 ) / Cos( 20 ) =
________________________________
2 × Cos( 30 + 20 ) =
2 × [ Cos(30).Cos(20) - Sin(30).Sin(20) ] =
2 × [ √3/2 × Cos(20) - 1/2 × Sin(20) ] =
√3 Cos(20) - Sin(20)
_________________________________
Sin( 20 ) + 2Cos ( 20 + 30 ) / Cos( 20 ) =
Sin( 20 ) + √3 Cos(20) - Sin(20) / Cos(20) =
Sin(20) - Sin(20) + √3 Cos(20) / Cos(20) =
0 + √3 Cos(20) / Cos(20) =
√3 Cos(20) / Cos(20) =
Cos(20) simplifies from the numerator and denominator of fraction
√3 × 1 / 1 =
√3
And we're done ....
among 210 student 85 price in English 125 price in Nepali and 25 failed in both subject find the number of students who passed in both subjects and illustrate the result obtained when diagram
Answer:
210=85+125-x+25
x= 235-210
x=25 failled in both
Step-by-step explanation:
Work out the value of x
Step-by-step explanation:
X+3X+90=360
4X+90=360
4X=360-90
4X=270
270÷4=67.5
X=67.5 degrees
In the telemarketing industry, one successful sale in one hundred calls is considered success. That is, the probability of success is 1/100 and the probability of failure is 99/100 What is the probability of making 2 sales in 100 calls? Use your calculator.
Answer:
0.1849 = 18.49% probability of making 2 sales in 100 calls
Step-by-step explanation:
For each call, there are only two possible outcomes. Either it is a success, or it is not. The probability of a call being a success is independent of any other call. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Probability of success is 1/100
This means that [tex]p = \frac{1}{100} = 0.01[/tex]
What is the probability of making 2 sales in 100 calls?
This is P(X = 2). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{100,2}.(0.01)^{2}.(0.99)^{98} = 0.1849[/tex]
0.1849 = 18.49% probability of making 2 sales in 100 calls
Coach Hutchison is the basketball coach at school . she asks players to record their heights. The histogram shows the data she has collected
What unit of measure is used in the Study?
__________________________________
O A. Inches
O B. Feet
O C. Number of playerd
O D. Number of observations
Answer:
The unit of measure used in the study is "inches"
Bethany is 57 inches tall Bethany brother Scott is 2 inches taller than she is what is scoot height in feet
Answer:
5'9 ft
Step-by-step explanation:
He was built different
Suppose an automobile manufacturer designed a radically new lightweight engine and wants to recommend the grade of gasoline that will have the best fuel economy. The four grades are regular, economy, premium, and super premium. The test car made three runs on the test track using each of the four different grades of gasoline (i.e there were a total of 12 test runs). The miles per gallon were recorded for each grade. At the 0.05 level, what is the critical value of F used to test the hypothesis that the miles per gallon for each fuel are the same
Answer:
4.07
Step-by-step explanation:
The sample size is 12. The number of treatments is 4. Thus, the degrees of freedom associated with the sum of square error is 8 which is sample size minus number of treatments. The degree of freedom is 3 which is number of treatments minus 1. The theoretical F value is determined by entering the F table (pp.723-24) at 3 degrees of freedom for the numerator and 8 degrees of freedom for the denominator for the level of significance given which in this case is 0.05.
Pls help 10 ptsssssssssssss
NO LINKS
Help!!
The graph of 8x - 5y = -15 is shown on the grid. Which
ordered pair is in the solution set of 8x - 5y2-15?
A)
(1,6)
B)
(-6, -1)
C)
(-1,6)
D)
(-1,-6)
You are given a line with a slope of -4. What would the slope of a parallel line be?