A graph of f(x)=acos(bx) is shown, where b is a positive constant. Determine the values of a and b.
Answers
Answer:
Option (1)
Step-by-step explanation:
Equation of the given wave function,
f(x) = acos(bx)
Here, a = amplitude of the wave
Period of the wave = [tex]\frac{2\pi }{B}[/tex]
From the graph attached,
Amplitude = [tex]\frac{4-(-4)}{2}[/tex]
= [tex]\frac{4+4}{2}[/tex]
= 4
Period of the wave = π - 0
= π
From the formula of the period,
Period = [tex]\frac{2\pi }{b}[/tex]
[tex]\pi =\frac{2\pi }{b}[/tex]
b = 2
Therefore, a = 4 and b = 2.
Option (1) will be the answer.
Related Questions
The mean absolute deviations for two sets of data are shown. The data points in Set 1 are more the mean than the points in Set 2 because the mean absolute deviation is .
Answers
Answer:
The data points in Set 1 are more spread out than the points in Set 2 because the mean absolute deviation of set 1 is larger.
Step-by-step explanation:
Given
Mean absolute deviations of set 1 and 2
Required
Complete the gap
From the complete question, we have that:
set 1 has a larger mean absolute deviation than set 2
This means that:
The dataset of set 1 is more spread out than that of set 2
The reason for this is that:
set 1 has a larger mean absolute deviation
A bag contains 10 red marbles, 7 blue marbles, and 3 green marbles. You randomly select a marble from the bag, record the color, and then put that marble back in the bag. If you were to do this 200 times, how many times would you expect to pull out a blue marble?
Answers
Answer:
70
Step-by-step explanation:
We have 7 blue marbles, and 20 total marbles. As a result, if we randomly chose one marble from the bag, the probability would be (number of favorable outcomes)/(number of total outcomes) = 7/20.
This means that for each 20 trials, we would expect to pull out a blue marble 7 times, as the probability does not change over time (because we put the marbles back, there are the same amount of each marble). Over 200 trials, we can simply make it out of 200 instead of 20. We can thus multiply 7/20 by 10/10 (10/10 is equal to 1, keeping the proportions equal) to get 70/200, so we can expect 70 blue marbles out of 200.
What is the following quotient?
StartFraction 6 minus 3 (RootIndex 3 StartRoot 6 EndRoot) Over RootIndex 3 StartRoot 9 EndRoot EndFraction
2 (RootIndex 3 StartRoot 3 EndRoot) minus RootIndex 3 StartRoot 18 EndRoot
2 (RootIndex 3 StartRoot 3 EndRoot) minus 3 (RootIndex 3 StartRoot 2 EndRoot)
3 (RootIndex 3 StartRoot 3 EndRoot) minus RootIndex 3 StartRoot 18 EndRoot
3 (RootIndex 3 StartRoot 3 EndRoot) minus 3 (RootIndex 3 StartRoot 2 EndRoot)
Answers
Answer:
A.[tex]2(3^{\frac{1}{3}})-\sqrt[3]{18}[/tex]
Step-by-step explanation:
We are given that
[tex]\frac{6-3(\sqrt[3]{6}}{\sqrt[3]{9}})[/tex]
We have to find the quotient.
[tex]\frac{6}{\sqrt[3]{9}}-3(\frac{\sqrt[3]{6}}{\sqrt[3]{9}})[/tex]
[tex]\frac{2\times 3}{\sqrt[3]{3^2}}-3(\frac{\sqrt[3]{3\times 2}}{\sqrt[3]{3^2}})[/tex]
[tex]2\times\frac{3}{3^{\frac{2}{3}}}-3(\frac{2^{\frac{1}{3}}\times 3^{\frac{1}{3}}}{3^{\frac{2}{3}}})[/tex]
Using the property
[tex](ab)^n=a^n\cdot b^n[/tex]
[tex]2\times 3^{1-\frac{2}{3}}-3(2^{\frac{1}{3}}\times 3^{\frac{1}{3}-\frac{2}{3}})[/tex]
Using the property
[tex]\frac{a^x}{a^y}=a^{x-y}[/tex]
[tex]2(3^{\frac{1}{3}})-3(2^{\frac{1}{3}}\times 3^{-\frac{1}{3}})[/tex]
[tex]2(3^{\frac{1}{3}})-2^{\frac{1}{3}}\times 3^{1-\frac{1}{3}}[/tex]
[tex]2(3^{\frac{1}{3}})-2^{\frac{1}{3}}\times 3^{\frac{2}{3}}[/tex]
[tex]2(3^{\frac{1}{3}})-2^{\frac{1}{3}}\times \sqrt[3]{3^2}[/tex]
[tex]2(3^{\frac{1}{3}})-2^{\frac{1}{3}}\times \sqrt[3]{9}[/tex]
[tex]2(3^{\frac{1}{3}})-\sqrt[3]{2\times 9}[/tex]
[tex]2(3^{\frac{1}{3}})-\sqrt[3]{18}[/tex]
Hence, the quotient of [tex]\frac{6-3(\sqrt[3]{6}}{\sqrt[3]{9}})[/tex] is given by
[tex]2(3^{\frac{1}{3}})-\sqrt[3]{18}[/tex]
Option A is correct.
Answer:
A
Step-by-step explanation:
Which sequence is arithmetic? A- 2,6,18,54... B- 3,6,12,24... C- 11,14,17,20... D- 7,11,13,18
Answers
I think B. 3,6,12,24 is the answer
Answer:
C
Step-by-step explanation:
the pattern is add 3
11 + 3 = 14
14 + 3 = 17
17 + 3 = 20
How are the x-coordinate and the y-coordinate in an
ordered pair related to the origin? I’LL MARK BRAINLIEST!!
Answers
Answer:
The vertical axis is called the y-axis. The point at which the two axes intersect is called the origin. The origin is at 0 on the x-axis and 0 on the y-axis.
Step-by-step explanation:
I believe this is correct, if not let me know and I will fix it. I'm sorry in advance if it is incorrect.
If f(x) is parallel to the line y= 3/4 x + 2/5 which function could be f(x)
Answers
Answer:
If f(x) is parallel to the line y=3/4x+b ,it would have to have the same slope.
In this equation:
y=mx+b
m= is the slope of the line.
A line parallel to the line y=3/4x +2/5 must have the same slope; that it is to say, the slope would be m=3/4
Examples:
y=3/4 x+ 50000
y=3/4 x -51/36
y=3/4 x -√2
These functions could be parallels to the line y=3/4 x +2/5
Answer:
see below.
Step-by-step explanation:
The key to this question is the factor 3/4. So anything that is going to make the coefficient in front of x = to 3/4 is a possible answer.
y = 3/4x + b where b is anything but 2/5 is one answer. Disguised but still likely is
4y = 3x + b Where you could divide everything by 4
y = 3/4x + b/4
Even something like
-4y = - 3x + b is possible because when you divide by -4, you get
y = -3x/-4 + b/-4
y = 3x/4 - b/4
Point CC is located at (4,3)(4,3) on the coordinate plane. Point CC is reflected over the xx-axis to create point C'C ′ . Point C'C ′ is then reflected over the yy-axis to create point C''C ′′ . What ordered pair describes the location of C''?C ′′ ?
Answers
Answer:
[tex]C" = (-4,-3)[/tex]
Step-by-step explanation:
Given
[tex]C = (4,3)[/tex]
Required
The coordinates of C"
From the question, we understand that:
C is reflected over x-axis to give C'
The rule to this is:
[tex]C(x,y) \to C'(x,-y)[/tex]
So, we have:
[tex]C(4,3) \to C'(4,-3)[/tex]
Next, C' is reflected over y-axis to give C''
The rule to this is:
[tex]C'(x,y) \to C"(-x,y)[/tex]
So, we have:
[tex]C'(4,-3) \to C"(-4,-3)[/tex]
NO WRONG ANSWER PLEASE PO
[tex] |? \times \fracwarning [/tex]
ok no no no wrong wrong answer
Answers
Answer:2. okra
Step-by-step explanation:
Try it it is right
need help with this Q&A
Answers
Answer:
the second option
y = (-1/2)x + 11
Step-by-step explanation:
x = 2
y = (-1/2)×2 + 11 = -1 + 11 = 10
the same as the table.
x = 4
y = (-1/2)×4 + 11 = -2 + 11 = 9
the same as the table.
x = 6
y = -3 + 11 = 8
the same as the table.
x = 8
y = -4 + 11 = 7
the same as the table.
4. The expression (3x –8)(2x+5)-(x+1)(2x+5) can be written as the product of 2x+5
with what other binomial?
(1) 4x-7
(3) 2x-7
(2) 2x-9
(4) 4x-9
Answers
Answer:
option 3 : (2x - 7 )
Step-by-step explanation:
ax + bx = x(a+ b)
a(x+ y) + b(x+y) = (x+y)(a+b)
[tex](3x - 8 ) ( 2x + 5) - (x + 1)(2x + 5)\\\\(2x+5)[ (3x - 8) - (x+1) ][/tex] [ (2x + 5) is common is both terms ]
[tex](2x+ 5)(3x -8 -x + 1)\\\\(2x+ 5)(2x - 7)[/tex]
Therefore , the binomial is ( 2x - 7)
(A+B)^2=???????????????
Answers
Answer:
A^2 +2AB+B^2
Step-by-step explanation:
thats an open bracket of the question .Hope its needful
1/2-1/4 is equal to
Answers
Step-by-step explanation:
1/2 -1/4
2*4-1*1/4
=1/4.
1/4is answer
Answer:
[tex] \frac{1}{4} [/tex]Step-by-step explanation:
[tex] \frac{1}{2} - \frac{1}{4} [/tex][tex] \frac{1}{2} \times \frac{2}{2} - \frac{1}{4} [/tex][tex] \frac{2}{2 \times 2} - \frac{1}{4} [/tex][tex] \frac{2}{4} - \frac{1}{4} [/tex][tex] \frac{2 - 1}{4} [/tex][tex] \frac{1}{4} [/tex]Hope it is helpful...I need help with this problem, please give a step by step explanation, will award brainliest
Answers
Answer:
ok so if they are congreant that mean the
x=38
Answer:
38
Step-by-step explanation:
Because both x and the 38° can create a linear pair with the same angle, they must be equal. Linear pairs are equal to 180°
Name the bottom angle C.
X + C = 180 (linear pair)
38 + C = 180 (linear pair)
X + C = 38 + C Subtract C from both sides
X = 38
Please help! Pleaseeeeeee
Answers
Answer:
The answer is D
Step-by-step explanation:
-x is n
Y=0
Answer:
D
Step-by-step explanation:
Basically....... graph shown in picture
George and Carmen went on a bicycle trip. They took a bus to their starting point, and Biked the rest. They traveled 350 kilometers in total (on the bus btw), and they biked 80 kilometers more than they were bussed.
X= kilometers by bike
Y= kilometers by bus
How many kilometers did they travel by bike?
Answers
Answer:
430 km
Step-by-step explanation:
If they traveled 350 km by bus and biked 80 km more than they were bused, then,
Traveled by bus, Y = 350 km
Traveled by bike, X = 350 + 80 = 430 km
Hope this will help. Please mark me brainliest if it helps.
A scientist is growing two species of bacteria. She defines a variable t that represents the number of days after the growth begins. The number of bacteria after t days is defined by: Species A: y=1000∙2^(t/3)
Species B: y=1000∙2^3t
(a) how many bacteria does each species start out with?
Answers
Number of bacteria each species start out with for the given exponential growth function is equals to 1000.
What is exponential growth function?
" Exponential growth function is defined as the the process of the increment in the initial quantity over the period of time 't'."
Formula defined
Exponential model
[tex]y =y_{0} e^{kt}[/tex]
[tex]y =[/tex]growth in the quantity
[tex]y_{0}[/tex] = initial quantity
[tex]k=[/tex] exponential growth
[tex]t=[/tex] time taken to grow
According to the question,
Given exponential function,
For Species A : [tex]y=1000 (2^{\frac{t}{3} } )[/tex]
For Species B : [tex]y=1000 (2^{3t} )[/tex]
't' represents the number of days after the growth begins
a. For the given condition of the exponential growth function ,
t = 0 when species start out with
For species A
[tex]y=1000 (2^{\frac{0}{3} } )[/tex]
⇒ [tex]y=1000[/tex]
For species B
[tex]y=1000 (2^{3(0) } )[/tex]
⇒ [tex]y=1000[/tex]
Hence, number of bacteria each species start out with for the given exponential growth function is equals to 1000.
Learn more about exponential growth function here
https://brainly.com/question/11487261
#SPJ2
What is the circumference of circle with diameter 7 cm?
Answers
Answer:21.99
Step-by-step explanation: Given diameter of a circle is(d)=7cm.
Now, we know that circumference of circle is =πd, where d is diameter of circle.
So, here circumference is = π×7cm
= 22/7 x 7 cm
Circumference = 22cm
[tex]\sf \bf {\boxed {\mathbb {GIVEN:}}}[/tex]
Diameter of the circle "d" = 7 cm
[tex]\sf \bf {\boxed {\mathbb {TO\:FIND:}}}[/tex]
The circumference of the circle.
[tex]\sf \bf {\boxed {\mathbb {SOLUTION:}}}[/tex]
[tex]\sf\orange{The\:circumference \:of\:the\:circle\:is\: 22\:cm.}[/tex]
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:EXPLANATION:}}}[/tex]
We know that,
[tex]\sf\purple{Circumference\:of\:a\:circle \:=\:πd }[/tex]
[tex] = \frac{22}{7} \times 7 \: cm[/tex]
[tex] = 22 \: cm[/tex]
Therefore, the circumference of the circle is 22 cm.
[tex]\large\mathfrak{{\pmb{\underline{\pink{Mystique35 }}{\pink{❦}}}}}[/tex]
PLEASE HELP
Write an equation of a line that passes through (3, -1) and is parallel and perpendicular to y = 6x - 4
the first person to get this will get all 60 points and brainliest
Answers
Answer:
x + 6y = -3
Step-by-step explanation:
Explained in the paper.
Need help with this!!!!
Answers
Answer:
Cuatro es la respuesta también conocida como d
Answer:
Step-by-step explanation:
Maggie used the commutative property to write StartFraction 4 Over 5 EndFraction + 6.9 y minus 8 as the equivalent expression 6.9 y + 8 minus StartFraction 4 Over 5 EndFraction. Did Maggie apply the commutative property correctly? Why or why not?
Answers
Answer:
Maggie did not apply the law correctly
Step-by-step explanation:
Given 3 numbers A, B and C, for a commutative property
(A+B)+C = C+(A+B)
This shows that the remains the same no matter what values comes first
For the given expression
4/5+6.9y-8 = 6.9y+8-4.5
The values are not commutative because of the presence of negative sign. For the expression to be commutative, they must be equal no matter the way it is arranged and the sign must be positive all through for both sides. Hence Maggie did not apply the law correctly
Write an equation in slope-intercept form for the line with slope 5 and y-intercept -2.
Answers
Answer:
y = 5x - 2
Step-by-step explanation:
Help needed!! Please help me solve my problem!!!
Answers
96/2= 48
given figure is a square.the line is bisect the angel
thank you
Help me which one is correct?
Answers
Answer:
here is the answer bae. Feel free to ask for more
Answer: -m3+m2
Step-by-step explanation: 2m2-[m2(7m-)]6m2
2m2-7m2-m3+6m2
-m3+m2
What is the rate of change of the function?
Answers
Answer:
3
Step-by-step explanation:
the rate of change of the function, or the slope is 3 because to get to one point from the other point in the line, you would have to go up 3 and over 1 (3/1) or just 3.
Hope this helps
Simplify using the identity −2 /7 x 1/5 + 1/3 - 4/5 x - 2/7
Answers
Answer:
1/3 + 6/35
Step-by-step explanation:
We are given;
−2/7 × 1/5 + 1/3 - 4/5 × -2/7
Using the rule of bodmas, we will group them and solve with multiplication being the first operation.
1/3 - (4/5 × -2/7) + (−2/7 × 1/5)
Factorization of first and second bracket gives;
1/3 + 2/7(4/5) + 2/7(-1/5)
Factorizing again gives;
1/3 + 2/7(4/5 - 1/5)
>> 1/3 + 2/7(3/5)
>> 1/3 + 6/35
is f(x)=–3?
–7
–4
4
5
Answers
Answer:
4 is the answer...........
_4 is the best answer of this question
HELP ME PLS I WILL GIGE BRAINLIEST
Answers
Answer:
C and D
Step-by-step explanation:
2x^2 + 7x + 6
(2x + 3)(x+2)
x = -3/2 = -1.5
x = -2
use the diagram to find the value of x
Answers
Answer:
4
Step-by-step explanation:
18x = 12(x+2)
18x = 12x+24
18x-12x = 24
6x = 24
x = 4
HELP PLEASE!! HURRY!!!! NO SPAM!!!!!! Identify the solution set of the inequality 4|f + 6| ≤ −16 and the graph that represents it.
Answers
Answer: f=3
Step-by-step explanation:
The intervals means that angle f is between the quadrant 1.
where x+y=90
find the surface area of a cylinder with a height of 2 inches and base radius of 4 inches
Answers
Answer:
Surface Area = 150.8 square inch
Step-by-step explanation:
[tex]Surface \ Area = 2 \pi r h + 2 \pi r^2 \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ r = 4 , \ h = 2 \ ] \\\\[/tex]
[tex]= 2 \pi \times 4 \times 2 + 2 \pi 4^2\\\\=16 \pi + 32 \pi \\\\= 48 \pi \\\\= 150.796 \\\\=150.8 \ square \ inch[/tex]