The transformations that are needed to change the parent cosine function to y = 0.35×cos(8(x-π/4)) are:
vertical stretch of 0.35horizontal compression of period of [tex]\pi/4[/tex]phase shift of [tex]\pi/4[/tex] to rightHow does transformation of a function happens?The transformation of a function may involve any change.
Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.
If the original function is [tex]y = f(x)[/tex], assuming horizontal axis is input axis and vertical is for outputs, then:
Horizontal shift (also called phase shift): Left shift by c units: [tex]y = f(x+c)[/tex]earlier)Right shift by c units: [tex]y = f(x-c)[/tex]output, but c units late)Vertical shift:Up by d units: [tex]y = f(x) + d[/tex]Down by d units: [tex]y = f(x) - d[/tex]Stretching:Vertical stretch by a factor k: [tex]y = k \times f(x)[/tex]Horizontal stretch by a factor k: [tex]y = f(\dfrac{x}{k})[/tex]For this case, we're specified that:
y = cos(x) (the parent cosine function) was transformed to [tex]y = 0.35\cos(8(x-\pi/4))[/tex]
We can see its vertical stretch by 0.35, right shift by [tex]\pi/4[/tex]horizontal stretch by 1/8
Period of cos(x) is of [tex]2\pi[/tex] length. But 1.8 stretching makes its period shrink to [tex]2\pi/8 = \pi/4[/tex]
Thus, the transformations that are needed to change the parent cosine function to y = 0.35×cos(8(x-π/4)) are:
vertical stretch of 0.35horizontal compression to period of [tex]\pi/4[/tex] (which means period of cosine is shrunk to [tex]\pi/4[/tex] which originally was [tex]2\pi[/tex] )phase shift of [tex]\pi/4[/tex] to rightLearn more about transformation of functions here:
https://brainly.com/question/17006186
Answer: vertical compression of 0.35, horizontal compression to a period of StartFraction pi Over 4 EndFraction, phase shift of StartFraction pi Over 4 EndFraction units to the right
Step-by-step explanation:
What is the value of log subscript 7 baseline 343? –3 negative one-third one-third 3
The value of [tex]\rm log_7343[/tex] is 3 the option fourth is correct.
It is given that the [tex]\rm log_7343[/tex]
It is required to find the value of [tex]\rm log_7343[/tex]
What is the logarithm?It is another way to represent the power of numbers and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.
[tex]\rm a^b=c\\\rm log_ac=b[/tex]
We have [tex]\rm log_7343[/tex]
We know the logarithm properties that:
[tex]\rm log_ac^n = n\times log_ac[/tex]
[tex]\rm log_ca = 1 \ \ if \ a=c[/tex]
We can write [tex]\rm log_7343[/tex] as
= [tex]\rm log_77^3[/tex] (∵ 343 = [tex]7^3[/tex])
= [tex]\rm 3log_77[/tex] [tex]\rm (log_ac^n = n\times log_ac)[/tex]
= 3 [tex](\rm log_ca = 1 \ \ if \ a=c)[/tex]
Thus, the value of [tex]\rm log_7343[/tex] is 3 the option fourth is correct.
Learn more about the logarithm here:
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Answer:
D
Step-by-step explanation:
When you use a (___________________ ), the money you spend is deducted
A credit card
B debit card
C deposit
D credit score
Answer:
B Debit Card
Step-by-step explanation:
When you use a debit card money comes out of your checking account
Answer:
a credit card
Step-by-step explanation:
because I think it makes sense
An equation is shown below: 2(7x − 3) = 9 Which of the following correctly shows the beginning steps to solve this equation? (4 points)
Answer:
The next step is: 14x - 6 = 9. The answer to this equation would be: x = 15/14.
Step-by-step explanation:
To solve this equation first you expand:
14x - 6 = 9
Then solve from there:
14x = 15
x = 15/14
Hey there!
Use the distributive property and distribute 2:
2(7x-3)=9
14x-6=9
Now, add 6 to both sides (remember the golden rule of algebra)
14x=15
divide both sides by 14
x=15/14 (improper fraction)
x=1+1/14 (mixed number)
Hope everything is clear.
Let me know if you have any questions!
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:-)
-x= x – 10
How many solutions does this equation have?
A.Infinitely many solutions
B.No solutions
C.Two solutions
D. One solution
Answer:
D
Step-by-step explanation:
Answer: One if any.
-x = x - 10 Add x to both sides
-x+x = x + x - 10 Combine
0 = 2x - 10 Add 10 to both sides
10 = 2x - 10+10 Combine
10 = 2x Divide by 2
10/2=2x/2
x = 5
Definite Answer: One Solution
what is c² + 6c - 6 if c = 4?
Answer:
34
Step-by-step explanation:
In order to solve this problem, you would have to plug-in 4 in letter c.
So the equation would go from:
c² + 6c - 6 to
(4)² + 6(4) - 6
4 to the square power is 16
6 times 4 is 24
So you would write this equation next
16 + 24 - 6
after adding and subtracting you should get 34 as your final answer.
Hope this helps!
SIDE NOTE: REMEMBER TO FOLLOW THE RULES OF PEMDAS WHEN ANSWERING THESE PROBLEMS!
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Answer:
34
Step-by-step explanation:
In order to solve the equation, all you would have to do is substitute your answer by the number given. It would look something like this:
(4)^2+6(4)-6
Remember to follow PEMDAS when solving it.
(4)^2 --> 4*4=16
6(4)=24
16+24-6=34
So, your final answer would be 34.
can 133.97 be an answer to a cone with a radius of 4 inches and a height of 8 inches
Answer:
no
Step-by-step explanation:
the answer is 134.04
Suppose you carry out a significance test of H0: μ = 7 versus Ha: μ ≠ 7 based on sample size n = 28 and obtain t = 1.45. Find the p-value for this test. What conclusion can you draw at the 5% significance level? Explain.
Considering the given test, the p-value is of 0.1586, and the null hypothesis is not rejected at the 5% significance level.
What is the relation between the p-value and the decision?It depends it is less or greater than the critical value.
If it is less, the null hypothesis is rejected.If it is more, the null hypothesis is not rejected.In this problem, we use a t-distribution calculator, with t = 1.45, 27 df and a two-tailed test, as we are testing if the mean is different of a value. Doing it, the p-value is of 0.1586.
Since it is greater than 0.05, the null hypothesis is not rejected at the 5% significance level.
More can be learned about p-values at https://brainly.com/question/26454209
What is the area of this figure?
Answer:
Step-by-step explanation:
Answer:
140.5 square yards
Step-by-step explanation:
split the triangle from the shape: 8+7=15yd
area of triangle = 1/2 x base x height
= 1/2 x 5 x 15
=37.5 square yards
split the rectangle from the shape: 7+2=9yd
area of rectangle = length x width
= 11 x 9
= 99 square yards
split the square from the shape
area of square = n squared
= 2^2
= 4 square yards
add them all up: 37.5+99+4
= 140.5 square yards is the final answer
my bad if you can't read the working out in the picture
Three boys, Adam, Kyle, and Ty, and two girls, Anne and Kate, have volunteered to help plan the school dance. One student will be randomly selected to plan and host the event, while another will be randomly selected to manage all the scheduled activities. The remaining volunteers will help decorate the gym for the dance. What is the probability that a girl will host the event and Anne will manage the event?
Answer:
2:4
Step-by-step explanation: Subtract 1 from total amount then find the number of girls I think sorry
What is the solution to the equation
Answer:
The answer to your question is C D=1
Step-by-step explanation:
i'm new to brainly but I'm also really smart in math have a nice day glad to help
7. Assume this policy has a deductible of $1,000 and a coverage limit of
$15,000. If tirere are personal property losses of $7,000 for a covered
event, which best describes how much both parties pay?*
Answer:
Insured person pays $1,000; insurance company pays $6,000
Step-by-step explanation:
Both parties pay $9000.
What is PEDMAS rule?PEDMAS rule states that the order of operation starts with the parentheses first or the calculation which is enclosed in brackets. Then the operation is performed on exponents(degree or square roots) and later we do operations on division & multiplication and at last addition and subtraction.
Policy has a deductible of $1,000 and a coverage limit of $15,000.
Tirere are personal property losses of $7,000 for a covered event
Based on the given conditions, formulate
= 1000 + 15000 - 7000
= 16000 - 7000
= 9000
Both parties pay $9000.
Find out more information about the PEDMAS rule here:
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Question 6 of 10
Which of the following are solutions to the equation below?
Check all that apply
x2 – 3x + 27 = 6x + 7
A. 3
B. 6
C.-4
D. 5
E. 4
Answer:
4 and 5
Step-by-step explanation:
its right
what is the inequality shown
Answer:
-2 ≤ x < 8
Step-by-step explanation:
Shaded in circle above the number means greater/less than or equal to.
In this instance, -2
Non-shaded in circle above the number means greater/less than.
In this instance, 8
The line between the two circles is where any number (x) could be.
Between -2 and 8, so -2 ≤ x < 8
Solve for x in the trig function
Step-by-step explanation:
cos(81) = x/sqrt(7)
x = sqrt(7)×cos(81) = 0.413886691...
Ann's car can go 288 miles on 8 gallons of gas. During a drive last weekend, ann used 5 gallons of gas. How far did she drive?
Answer:
180 miles
Step-by-step explanation:
Ann's car can go 288 miles on 8 gallonsBase rate
= No. of miles / No. of gallons= 288 / 8⇒ 36 miles per gallon [Important to rememeber!]5 gallons
Distance for 5 gallons = base rate x 5Distance = 36 x 5Distance = 180 milesAnswer:
180
Step-by-step explanation:
288:8=36 means with 1 gallon can drive 36 km
5 gallon used last week so 5*36 =180 km
5. Determine the rotation around the origin that was performed to transform the preimage on the left to its image on the right.
Preimage
Image
A. R90°
B. R270°
C. R-270°
D. R-180°
Answer:
It was rotated D. -180 degrees
Step-by-step explanation:
the reason that it was -180 degrees is because when you look at the points, points A and B were perfectly flipped around and on the other side of (0,0)
Lei is renting a paddle board from a local shop that charges a $12 fee, plus an hourly rate of $8.50. For how long can Lei rent a paddle board if she pays a total of $80?
Answer:
8 hours.
Step-by-step explanation:
80 = 12 + 8.5t where t is the time rented in hours
8.5t = 80 - 12 = 68
t = 68/8.5
= 8 hours.
PLEASE HELP!!!
An athletic banquet charges a fixed fee of $500 plus $25 per person for the food. There are up to 50 guests, how much would the banquet cost for 45 and 90 guests? What is the rate of change?
Answer:
45 guests = $1,625
90 guests = $2,750
Step-by-step explanation:
(25*45)+500= 1,625
(25*90)+500=2,750
Evaluate the given algebraic expression for x = 7 and y = 3.
Answer: = 2(7 + 3) ^2= 2 * 10^2= 200
Josiaanswer this is it josia the question
Answer:
6? i am soooo confused
Step-by-step explanation:
A business man has 200 bags of maize flour each weighing 50000 grammes. Find the total weight of the bags in kilograms
Answer:
10,000 ★ soz if im wrong
Step-by-step explanation:
I hope the best
Answer:
10,000kg
Step-by-step explanation:
200 bags
1bag=50,000g
200bags=?
cross multipy
200bags x 50,000g
---------------------------
1bag
=10 000 000grams
1000g=1kg
10,000,000g
10,000,000/1000
=10,000kg
brainiest please
amount of money that is equal to 2 quarters.
1. 5 dimes
2 5 dimes 1 nickel
3.4 dimes
5.4 dimes 1 nickle
Answer:
1. 5 dimes
Step-by-step explanation:
5 dimes
Two quarters is $0.50.
1. 5 dimes = 5 * $0.10 = $0.50
2. 5 dimes + 1 nickel = 5 * $0.10 + $0.05 = $0.55
3. 4 dimes = 4 * $0.10 = $0.40
5. 4 dimes + 1 nickel = 4 * $0.10 + $0.05 = $0.45
The only amount of money that's equal to $0.50 is 1. 5 dimes
What is the answer will rate you 5 stars
The format of the equation is in 'slope-intercept form'
--> y = mx + b
m: the slopeb: the value of the y-interceptIn this case, the line is missing its y-intercept
--> the y-intercept is where the x value of any coordinate is equal to '0'
--> in that case b = 5
Hope that helps!
Answer:5
Step-by-step explanation:
Plugging in (5) will solve all relations.
0 + (5) = 5
1+(5) = 6
2+(5) = 7
3+(5) = 8
4+(5) = 9
5+(5) = 10
6+(5) = 11
convert 0.001 * km ^ 3 into m ^ 3
Answer:
[tex]1,000,000 \: {m}^{3} [/tex]
Step-by-step explanation:
[tex]0.001 \: {km}^{3} \\ \\ = 0.001 \times {(1000)}^{3} \\ \\ = 0.001 \times 1,000,000,000 \\ \\ = 1,000,000 \: {m}^{3} [/tex]
There are 14 white cabbages and x purple cabbages in a box.
A cabbage is selected at random.
The probability of taking a white cabbage from the box is 0.56.
Find the value of x.
Answer:
x = 11
Step-by-step explanation:
Given:
14 = number of white cabbagesx = number of purple cabbagesP(W) = 0.56⇒ total number of cabbages = 14 + x
[tex]\mathsf{Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ outcomes}}[/tex]
[tex]\sf \implies P(W)=\dfrac{number \ of \ white \ cabbages}{total \ number \ of \ cabbages}[/tex]
[tex]\sf \implies 0.56=\dfrac{14}{14+x}[/tex]
[tex]\sf \implies 0.56(14+x)=14[/tex]
[tex]\sf \implies 7.84+0.56x=14[/tex]
[tex]\sf \implies 0.56x=6.16[/tex]
[tex]\sf \implies x=11[/tex]
Walmart has jeans on sale for $42.89 the regular price is $59.99 what’s the savings before tax
59.99 - 59.99 x saving rate = 42.89
with saving rate = r%
59.99 - 59.99 x r% = 42.89
so 59,99 ( 1 - r%) = 42.89
1 - r% = 42.89 : 59.99
1 - r% = 0,7150
r% = 1 - 0,7150
r = 28,5%
In the figure shown, MR←→− is parallel to ST←→. If m∠SPR = 126°, what is m∠PST?
Answer:
its 54
Step-by-step explanation:
i got it right on time4learning
Chloe has 4 sundaes for her friends. She has 12 8/9 ounces of sprinkles to put equally on the sundaes. How many ounces of sprinkles will be on each sundae?
Answer:
3(2/9) ounces of sprinkles each sundae (3.222222.....)
Step-by-step explanation:
12 divided into 4 = 3 ounces
(8/9)/4 is the same as (8/9) x(1/4) = 8/36 = 2/9
3 ounces and 2/9 ounces
Each sundae will have 3 2/9 ounces of sprinkles on it.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
Chloe has 12 8/9 ounces of sprinkles and 4 sundaes, so she will put 12 8/9 / 4 = 3 2/9 ounces of sprinkles on each sundae.
To break this down, 12 8/9 can be simplified to 12 + 8/9 = 12 + 8/9 = 12 + 4/9 = 12 4/9.
When we divide 12 4/9 by 4, we get 3 2/9.
So each sundae will have 3 2/9 ounces of sprinkles on it.
Learn more about the fraction here:
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The equivalent ratios are 6 : 3,
Answer:
2:1
Step-by-step explanation:
divide 6 by 3 to get 2 and divide 3 by 3 to get 1 making the awnser 2:1
Natalie can hop 24 times in 8 minutes at a constant rate. How many times can she hop in 7 minutes?
Answer:
in 7 mins she can hop 21 times
Step-by-step explanation:
24 divided by 8 = 3
24-3=21
Answer:
Natalie can hop 21 times in 7 minutes
Step-by-step explanation:
To figure out how many times she can hop in 7 minutes you need to find the average hop each minute.
First, you write 24/8. You simply that to 3/1.
So Natalie can jump 3 times in 1 minute.
If you want 7 minutes, you multiply 1 by 7, and 3 by 7, which gets you 21 hops for 7 minutes.
-I hope this helps!