Answer:
4p
Step-by-step explanation:
The period is basically the difference in x from one "peak" to the other "peak".
The peaks are the highest points of a sinosodial function, and the figure them out, use the formula:
\(|peak_1-peak_2|=period\)
We know the first peak is at about x=0\(\pi\)
We know the second peak is at about x=4\(\pi\)
So plugging this in:
\(|0-4\pi |=4\pi\)
So the period is \(4\pi\)
I am assuming "p" stands for \(\pi\), so the answer should be 4p.
There are other ways to find the period, for instance if you are given a sinusodial function in writing instead of a graph.
Here is an example:
5sin(5x+2)+3
If we want to find period, we need to find what we call "b"
b is the number in front of x, which we can identify as bx, which in this case is 5x above.
Now what do we do with this "b"?
This is the value we need to find our period.
If you know b, you can use this formula to find the period:
\(\frac{2\pi }{b}=p\)
And when we plug in b:
\(\frac{2\pi }{5}\)
=
1.257, which would be your period.
THis can also be reworked so that you can find b:
If the formula for period is \(\frac{2\pi }{b}=p\), then the opposite formula would be \(\frac{2\pi }{ p}=b\)
And when you plug the period you have in:
\(\frac{2\pi }{1.257}\)
=
5
Anyway, your answer is 4p.
Hope this helps!
Using synthetic division, what is the factored form of this polynomial?
3.13 – 1612 + 121 + 16
-
A. (3.1 – 2)(– 4)(1 – 2)
B. (3x − 2)(x + 4)(x + 2)
C. (3x + 2)(x – 4)(x - 2)
D. (3x + 2)(x + 4)(x + 2)
Identify a pattern in the given list of numbers. Then use this pattern to find the next number.
1, 1, 1, 2, 1, 4, 1,
The completed list of numbers would be: 1, 1, 1, 2, 1, 4, 1, 2
By examining the given list of numbers 1, 1, 1, 2, 1, 4, 1, we can observe a pattern emerging.
The pattern seems to involve alternating sequences. The first sequence is the number 1 repeated three times (1, 1, 1). The second sequence is a number that follows the pattern of increasing by 1 each time (2). The third sequence is the number 1 repeated once (1). The fourth sequence is a number that follows the pattern of doubling each time (4). This pattern of alternating sequences continues.
Based on this pattern, we can predict that the next number in the sequence will follow the alternating sequence pattern. Since the last number in the sequence is 1, the next sequence will involve a number that follows the pattern of increasing by 1. Therefore, the next number in the sequence would be:
1 + 1 = 2
Hence, based on the observed pattern, the next number in the sequence is 2.
Therefore, the completed list of numbers would be:
1, 1, 1, 2, 1, 4, 1, 2
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Answer the question with an algebraic expression.
The perimeter of a square is m meters. How long, in centimeters, is each side of the square?
The length of the square in centimetres in algebraic expression is 25m
How to find the side length of a square?The perimeter of a square is m meters.
The length of the each side of the square in centimetres can be represented in an algebraic expression as follows:
Therefore,
perimeter of a square = 4l
where
l = side lengthTherefore,
m = 4l
where
m = perimeter of the squarel = m / 4 meters.
Therefore, the side length of the square in centimetres is as follows:
1 meters = 100 cm
m / 4 meters = ?
cross multiply
length of the square in meters = m / 4 × 100
length of the square in meters = 100m / 4
length of the square in meters = 25m
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State whether the following statement is true or false, and explain why. If the statement is false, state the true change.
If the price of avocados increases by 30% for four consecutive months, then the price of avocados increased by 120% over the four-month period.
Choose the correct answer below and fill in the answer box to complete your choice.
The statement is true because 4×30%=120%4×30%=120%.
The statement is false because each year there is a different reference value.
What percentage did the avocados increase by?
functions
equation editor
% (round to a tenth of a percent)
The statement is true because 4 × 30%=120
How to solve if the statement is trueIn the first month, the price of the avocado is said to have been raised by 30 percent.
While already raised by 30 percent, another 30 percent raise would make the increase to be 60 percent.
While is at 60 percent, the third month the raise would be = 90 percent because 30 * 3 = 90
Then at 90 percent if there is another raise of 30 percent, the increase would grow to be 120 percent.
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One small question in attached, shouldn't take long. thanks for help
are these fractions equivalent or nonequivalent g/8h 2g/16
Answer:
yes they are equivalent
Step-by-step explanation:
when you do are going to put 1/8 = 2/16 and just imagine g = 1 :)
I hope I helped ;)
Find the height of the tower using the information given in the illustration.
using SOH CAH TOA
Tan 85.144 =h/130
h=tan 85.144*130
h=1530.19 fr
2/3(3z-6) please help
Answer:
2z-4
Step-by-step explanation:
By using distributive property, 2/3 * 3z = 2z and 2/3 * -6 = -4
This means the answer is 2z-4
\(Answer: \large\boxed{2z-4}\)
Step-by-step explanation:
To solve:
\(\frac{2}{3} (3z-6)\)
We must use the distributive property and distribute 2/3 to the 3z and -6
...
\(\frac{2}{3} (3z-6)\)
\(=\frac{2}{3} (3z) + \frac{2}{3} (-6)\)
\(=\frac{6z}{3} + -\frac{12}{3}\)
\(=2z-4\)
3.If ABCD is a parallelogram with AB = 2x + 1, AD = x + 13, and DC = 3x -11. Determine if ABCD is
rhombus. Show algebraic work to justify your answer.
Answer:
ABCD is a rhombus
Step-by-step explanation:
Sides AB and DC are opposite and equal in parallelogram ABCD. This means ...
AB = CD
2x +1 = 3x -11
12 = x . . . . . . . . add 11-2x to both sides
Sides AB and CD have length ...
2x +1 = 2(12) +1 = 24 +1 = 25
Then the length of side AD is ...
AD = x +13 = 12 +13 = 25
Adjacent sides AB and AD of the parallelogram have the same length, The figure is a rhombus.
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
a) Work out the percentage population increase from 2001 to 2011.
Give your answer to 1 decimal place.
The percentage population increase from 2001 to 2011 is 50%.
To calculate the percentage population increase from 2001 to 2011, you need the population figures for both years. Let's assume the population in 2001 was 100,000 and in 2011 it was 150,000.
The formula to calculate the percentage increase is:
Percentage Increase = ((New Value - Old Value) / Old Value) * 100
Plugging in the values:
Percentage Increase = ((150,000 - 100,000) / 100,000) * 100 = (50,000 / 100,000) * 100 = 0.5 * 100 = 50%
Therefore, the percentage population increase from 2001 to 2011 is 50%.
Please note that the actual population figures for the respective years need to be used in the calculation to obtain an accurate result. The example above is for illustrative purposes.
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2/5 of employees in a company drive to work, 1/3 travel by bus and the rest walk. 1. Find the fraction of who walk.
Answer:
4/15
Step-by-step explanation:
2/5 drive
1/3 bus
and rest walk
fraction of those who walk is 1-(2/5+1/3)
2/5+1/3=(6+5)/15=11/15
15/15-11/15=4/15
Mark what answer it is
The expression (4k + 8)/4 simplifies to an expression of the form ak+b where a and b are integers. find a/b.
If the expression (4k + 8)/4 simplifies to an expression of the form ak + b, then the value of a/b is 1/2
The expression is (4k + 8) / 4
The expression is the mathematical statement that consist of the different variables, numbers and the mathematical operator. The mathematical operators are addition, subtraction, division and multiplication.
The given expression is (4k + 8)/ 4
Solve the expression
(4k + 8) / 4 = 4k/4 + 8/4
Divide the terms
=k + 2
The result is in the form of ak + b
The value of a = 1
The value of b = 2
The value of a/b = 1/2
Therefore, the value of the expression a/b is 1/2
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On a coordinate plane, triangle A B C has points (negative 9, 3), (negative 9, 6), (0, 3) and triangle A double-prime B double-prime C double-prime has points (3, negative 1), (3, negative 2), and (0, negative 1).
Which transformations could be performed to show that △ABC is similar to △A"B"C"?
a reflection over the x-axis, then a dilation by a scale factor of 3
a reflection over the x-axis, then a dilation by a scale factor of One-third
a 180° rotation about the origin, then a dilation by a scale factor of 3
a 180° rotation about the origin, then a dilation by a scale factor of One-third
The transformation that makes 180 degrees rotation about the origin. then a dilation by a scale factor of one-third.
How to find the plane transformation?The coordinates of triangle ABC are given as;
A( -9,3) B(-9,6) C (0,3)
After a rotation of 180 degrees we will have the new points denoted as;
A (9,-3) B( 9,-6) C (0, -3)
Then we will dilate the initial triangle by a scale factor of 1/3 and you will get the coordinates;
A ( 3,-1) B( 3,-2) C(0,-1)
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What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
The factors of the polynomial function f(x) must be x, x + 6 and x + 3
How to determine the factorsFrom the question, we have the following parameters that can be used in our computation:
The graph (see attachment)
On the graph, we have the zeros of the function to be
x = -6, x = -3 and x = 0
Set the equations to 0
So, we have the following representation
x + 6 = 0, x + 3 = 0 and x = 0
This means that the factors are
x, x + 6 and x + 3
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you want to reach $3,000 in savings over four years your account will earn 10% interest per year how much must you save each month
You would need to save approximately $56.62 each month to achieve your savings goal of $3,000.00 over four years.
To calculate the monthly savings required to reach a savings goal of $3,000.00 over four years with a 10% annual interest rate, we can use the PMT (Payment) function.
The PMT function helps us determine the fixed payment amount needed to achieve a specific future value within a given time frame.
Let's break down the given information:
Present Value (PV): $0.00 (initial account balance)
Future Value (FV): $3,000.00 (savings goal)
Interest Rate (rate): 10% per year (annual interest rate)
Number of Periods (nper): 4 years (48 months)
Using the PMT function, we need to plug in the values and solve for the monthly payment (savings amount).
The formula for the PMT function is:
PMT(rate, nper, pv, [fv], [type])
Where:
rate = Interest rate per period
nper = Total number of periods
pv = Present value (initial account balance)
fv = Future value (savings goal)
type = (Optional) Indicates whether the payment is made at the beginning (1) or end (0) of the period.
We'll assume 0 for monthly savings.
Let's calculate the monthly savings using the PMT function:
PMT(10%/12, 4*12, 0, -3000, 0)
Here, we divide the annual interest rate by 12 to get the monthly interest rate (10%/12), multiply the number of years by 12 to get the total number of months (4*12), set the initial account balance (pv) as $0, set the future value (fv) as -$3,000 (negative because it's an outgoing payment), and assume the savings are made at the end of each month (type = 0).
Using a financial calculator or spreadsheet software, the monthly savings required to reach the goal of $3,000.00 over four years with a 10% annual interest rate is approximately $56.62.
Therefore, you would need to save approximately $56.62 each month to achieve your savings goal of $3,000.00 over four year.
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Question : you want to reach $3,000.00 in savings over four years. Your account will earn 10% interest per yea Initially your account has a zero balance. How much must you save each month to achieve this goal? Use the PMT() function. Look it up in the e-book if you do not know how to use it. TIP: This is monthly so do not forget to adjust the interest rate and number of payment.
To evaluate whether customers enjoy the barista’s new smoothie, a restaurant manager surveys every other customer who orders the new smoothie. The manager determines that customers enjoy the new smoothie. Select all the statements that are true about the sampling method.
The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.
Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:
1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.
2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.
3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.
4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.
5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.
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Abner collects postcards that his friends
send him when they travel. He can put
6 cards on one scrapbook page. How
many pages does Abner need to fit
42 postcards? NEED ANSWER ASAP PLS ITS DUE ON “Dec 2 2022” AND TODAY IS “Dec 1 2022”
Answer:
I believe the answer is 7 pages for 6 postcards on each page
Step-by-step explanation:
I believe the correct answer is 7 pages because
7×6=42
7 pages, 6 cards, and 42 postcards
So for Abner to scrapbook 42 cards for every 6:1 pages he will need 7 pages.
can someone write me a proportional relationship WORD problem, 7th grade. pls it’s for a project
Janet ran 100 meters in 15 seconds. How long did she take to run 2 meters?
Solution:
100/15 = y/2
Solve for y.
y = (15/100)(2)
y = 0.3
Answer: She took 0.3 seconds.
Figure Y is the result of a transformation on Figure X. Which transformation would accomplish this?
A. a reflection over the x -axis
B. a rotation 90° clockwise about the origin
C. a rotation 180° counterclockwise about the origin
D. a translation 10 units to the left and 10 units down
A transformation would accomplish this include the following: C. a rotation 180° counterclockwise about the origin.
What is a rotation?In Mathematics and Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).
Furthermore, the mapping rule for the rotation of a geometric figure 180° counterclockwise about the origin is given by this mathematical expression:
(x, y) → (-x, -y)
Coordinates of point X (0, 4) → Coordinates of point Y = (0, -4)
Coordinates of point X (1, 3) → Coordinates of point Y = (-1, -3)
In conclusion, we can logically deduce that this transformation rule (x, y) → (-x, -y) would map Figure X onto Figure Y.
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please help :,(( it's due in 30 minutes
Answer:
brain went bye bye
Step-by-step explanation:
help plz very very confused
Answer:
x=-2
Step-by-step explanation:
The monthly rent for the first house is $1,190, and the Bainters can expect it to increase 1.7% every year. The Bainters want to calculate their monthly rent over time.
What is an appropriate way to calculate the monthly rent over time?
Your answer should include
a specific strategy or model that you could use
an explanation of how you would use that model to solve the problem
The appropriate way to calculate the monthly rent over time is 1190 × 1.017^n.
How to calculate the value?From the information, it was stated that the monthly rent for the first house is $1,190, and the Bainters can expect it to increase 1.7% every year and that the Bainters want to calculate their monthly rent over time.
Therefore, the appropriate expression will be:
= 1190 × (1 + 1.7%)^n
where n = number of years
= 1190 × 1.017^n
Therefore, the appropriate way to calculate the monthly rent over time is 1190 × 1.017^n.
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1) How much interest will you pay on a $43,000 car loan with a fixed APR of 4.9% if the loan is
for 5 years?
With a monthly repayment of $809.49, the total interest on the car loan will be $5,569.67.
How is the total interest computed?We assume that there are monthly repayments and compounding interest on the car loan.
With periodic repayments and compounding interest, the total interest paid on the car loan will be as shown by the car loan calculator.
Car loan = $43,000
Down payment = $0
Fixed Annual Percentage Rate (APR) = 4.9%
Loan term = 5 years
Car Loan Calculator with monthly Repayment:
Payment = $809.49/month
Interest Paid =$5,569.67
Total Paid = $48,569.67
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52 cars were built at the plant last month.
If that was 80% of the cars on order, how
many total cars were ordered?
Answer:
65
Step-by-step explanation:
Total cars =
\( \frac{52}{80} \times 100 = 65\)
PLEASE HELP NOW
HURRY
Answer:
13
Step-by-step explanation:
we us the pythagorean theorem
sqrt( 144 + 25) = 13
T=PV/k, determined P when T=80, V=20 and K= 0.5
We have the following equation:
\(T=\frac{PV}{k}\)since we need P, we must move k and V to the left hand side as
\(P=\frac{k\cdot T}{V}\)By substituting the given values, we get
\(\begin{gathered} P=\frac{(0.5)(80)}{20} \\ P=\frac{40}{20} \\ P=2 \end{gathered}\)that is, P is equal to 2.
subtract the product of 2 and 15 divided by 3 from 10
Answer:
0Step-by-step explanation:
subtract the product of 2 and 15 divided by 3 from 10
Remember PEMDAS
10 - 2 * 15 : 3 =
10 - 30 : 3 =
10 - 10 =
0
At Best Buy, all Samsung Galaxy cell phones are on sale for a discount of 25%. Which statement best represents the functional relationship between the sale price of a cell phone and the original price? * . the original price is dependent on the sale price b. the sale price and the original price are both dependent on each other c. There is not enough information to determine the relationship d. the sale price is dependent on the original price
Answer: The correct answer is:
d. The sale price is dependent on the original price.
Step-by-step explanation: The discount of 25% is applied to the original price to calculate the sale price. Therefore, the sale price is determined by the original price.