An equation for L, in terms of t, representing the amount Kadeesha owes her friend after t weeks is L = 8t + 120.
The table of values is as follows;
Number of Weeks Amount of Money Owed
0 $120
1 $128
2 $136
3 $144
How to write an equation to model this situation?In order to write a linear equation to describe this situation, we would assign variables to the amount of money that Kadeesha borrowed originally and the number of weeks respectively, and then translate the word problem into a linear equation as follows:
Let the variable L represent amount of money that Kadeesha owed.Let the variable t represent number of weeks.Since Kadeesha originally borrowed $120 and agreed to pay back her friend $8 per week, a linear equation which can be used to model the total amount of money that Kadeesha owed is given by;
L = 8t + 120
When t = 0, the value of L is given by;
L = 8(0) + 120
L = $120.
When t = 1, the value of L is given by;
L = 8(1) + 120
L = $128.
When t = 2, the value of L is given by;
L = 8(2) + 120
L = $136.
When t = 3, the value of L is given by;
L = 8(3) + 120
L = $144.
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A framed picture has a total area y, in square inches. The thickness of the frame is
represented by x, in inches. The equation y = (8+2x)(10 + 2x) relates these two
variables.
1. What are the length and width of the picture without the frame?
2. What would a solution to the equation 100 = (8+2x)(10+2x) mean in this
situation?
The given total area including the frame is y = (8+2x)(10+2x).
As per the question the thickness of the frame is x.
The area of a rectangle is given by A=L*B
For a picture with frame it will be A=(L+2t)*(B+2t)
1. Comparing the above equation with the given equation it can be concluded that the Length is 10 and the width is 8.
2. The given equation is 100=(8+2x)(10+2x)
Upon solving it simplifies to [tex]x^2+9x-5=0[/tex]
x=0.525.
Thus the thickness x=0.525.
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To the nearest megawatt, what is the mean amount of electricity generated in Texas by wind-powered turbines from 2007 to 2010?
The mean amount of electricity generated in Texas by wind-powered turbines from 2007 to 2010 is 4,353 megawatts, to the nearest megawatt.
The data for this question can be found in the following table:
Year Electricity Generated (Megawatts)
2007 4,353
2008 7,113
2009 9,403
2010 10,089
To find the mean, we simply add up the values in the table and divide by the number of values, which is 4.
Mean = (4,353 + 7,113 + 9,403 + 10,089) / 4 = 4,353 megawatts
Therefore, the mean amount of electricity generated in Texas by wind-powered turbines from 2007 to 2010 is 4,353 megawatts, to the nearest megawatt.
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How much would you need to deposit in an account now in order to have $2000 in the account in 15years? Assume the account earns 7% interest compounded monthly.
Answer:
To calculate the amount you would need to deposit in the account now, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
where A is the amount you will have after 15 years, P is the principal amount (the amount you need to deposit now), r is the annual interest rate (7%), n is the number of times the interest is compounded per year (12 for monthly compounding), and t is the time in years (15).
Plugging in the values, we get:
2000 = P(1 + 0.07/12)^(12*15)
Simplifying the right side, we get:
2000 = P(1.00583)^180
Dividing both sides by (1.00583)^180, we get:
P = 2000 / (1.00583)^180
P = $775.80 (rounded to the nearest cent)
Therefore, to have $2000 in the account in 15 years with an annual interest rate of 7% compounded monthly, you would need to deposit $775.80 now.
Ocarolyn and Abby
went camping and
caught a total of a fish.
How many fish
weighed 8 1/4 pounds
or less?
XX
XX
X X
x+
XX-
X
8 8
8
8 9
Weight of Fish in Pounds
1
Jamal is planning a conference. A local hotel rents a ballroom for $620 and charges $35 per guest for food.
Step 2 of 5: Determine the total charge if 138 guests attend the conference.
The total charge if 138 guests attend the conference is $5450
Determining the total charge if 138 guests attend the conference.From the question, we have the following parameters that can be used in our computation:
A local hotel rents a ballroom for $620 And charges $35 per guest for food.Using the above as a guide, we have the following:
Total = ballroom + food * number of guests
Substitute the known values in the above equation, so, we have the following representation
Total = 620 + 35 * 138
Evaluate
Total = 5450
Hence, the total charges is $5450
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Please help me with this
a)There is higher variability of Y with larger values of X.
b) There is non linear relation between X and Y.
a) Based on the given figure, we can make the following observations:
The scatterplot shows an upward trend, indicating a positive relationship between X and Y.The points appear to be spread out in a fan-like shape, suggesting increasing variability of Y with larger values of X. This means that as X increases, the values of Y become more spread out.The scatterplot does not provide clear information about the variability of X with larger values of Y.Therefore, the correct statement is There is higher variability of Y with larger values of X.
b) Based on the features, it is likely that a linear model may not be suitable for these data, and a non-linear model or other regression techniques may be more appropriate to capture the relationship between X and Y accurately.
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bacteria in a culture is given by function n(t)=920e^0.35t
A) The continuous rate of growth of this bacterium population = 0.35
B) The initial population of the culture = 920
C) The number of bacteria at time t=5 are 5294
Here, the function [tex]n(t)=920\times e^{(0.35\times t)}[/tex] represents the number of bacteria in a culture at time t
A) We know that in exponential function f(x) = [tex]ae^{kx}[/tex], k is the rate of growth
Here, in this function n(t) = [tex]920\times e^{(0.35\times t)}[/tex], the continuous rate of growth is 0.35
B) To find the initial population of the culture
Substitute t = 0, in n(t)
n(0) = [tex]920\times e^{(0.35 \times 0 )}[/tex]
n(0) = 920 × e⁰
n(0) = 920
This is the initial population.
C) Now we find the number of bacteria at time t=5
[tex]n(t)=920\times e^{(0.35\times t)}[/tex]
Substitute t = 5 in above equation.
n(5) =[tex]920 \times e^{(0.35 \times 5)}[/tex]
n(5) = 5294.23
n(5) ≈ 5294
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The number of bacteria in a culture is given by the function
n(t) =920e^0.35t Where t is measured in hours
A) what is the continuous rate of growth of this bacterium population? Your answer is __ percent
B) what is the initial population of the culture (at t=0) your answer is __
C) how many bacteria will the culture contain at time t=5 ? Your answer is __ Round to the nearest bacteria
what is the range of the data set
Answer: 9
Step-by-step explanation:
Range = maximum number - minimum number (in a data set)
50-41 = 9 minutes
What is the solution to
√7x-4 = 2√x
O A.4/3
O B. -4/4
O C. 4/5
O D. -4/3
Answer:
B
Step-by-step explanation:
take square on both sides
7x-4 = 4x
x = 4/3
An accountant drives 50 miles a day to work. Write an expression that represents the total number of miles he drives after x days
Answer:
It is 50x or 50*x or 50(x).
Calculate, to the nearest cent, the Present Value of an investment that will be worth $1,000 at the stated interest rate after the stated amount of time.
3 years, at 1.3% per year, compounded weekly (52 times per year).
PV=?
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 1000\\ P=\textit{original amount deposited}\\ r=rate\to 1.3\%\to \frac{1.3}{100}\dotfill &0.013\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{weekly, thus fifty two} \end{array}\dotfill &52\\ t=years\dotfill &3 \end{cases}[/tex]
[tex]1000 = P\left(1+\frac{0.013}{52}\right)^{52\cdot 3} \implies 1000=P(1.00025)^{156} \\\\\\ \cfrac{1000}{(1.00025)^{156}}=P\implies 961.76\approx P[/tex]
A turtle lives in a garden and a hedgehog lives in the woods. They leave their homes at the same time, walk toward each other, and meet in 5 hours. The turtle walks 10 meters per hour slower than the hedgehog. It the turtle had left home 4.5 hours earlier than the hedgehog, the two have me 150/ from the hedgehog's house. Find the distance between the garden and the woods.
If a turtle lives in a garden and a hedgehog lives in the woods. The distance between the garden and the woods is 450m.
How to find the distance?Let d represent the distance between the turtle's garden and the hedgehog's wood
Let h represent the speed of the hedgehog
Let the turtle's speed = h-10
Le the time it takes for the hedgehog to walk from the woods to the meeting point= t
Set up two equations
d = (h-10)(t+4.5) + ht (Equation 1)
d - 150 = ht (Equation 2)
Solve for d by substituting equation 2 into equation 1:
ht + (h-10)(t+4.5) = ht + 150
(h-10)t + 45h = 150
t = (150 - 45h) / (h-10)
Substitute t into equation 2:
d = ht + 150 - (h-10)(t+4.5)
d = h(150 - 45h)/(h-10) + 150 - (h-10)(45h/(h-10) + 4.5)
d = 2250/(h-10) (distance between the garden and the woods)
Since the turtle and hedgehog meet in 5 hours
Thus,
d = ( h-10 ) (5) + h( 5- 4.5 )
d = 5h - 25
Substitute
5h - 25 = 2250/(h-10)
Multiplying both sides by h-10
5h² - 75h + 250 = 0
Dividing both sides by 5
h²- 15h + 50 = 0
Using the quadratic formula
h = (15 ± sqrt(15^2 - 4(1)(50))) / (2*1)
h = (15 ± 5) / 2
So,
h = 10 or h = 5
Distance between the garden and the woods :
d = 2250/(h-10)
d= 2250/(5-10)
= 450 meters
Therefore the distance is 450m.
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Imagine that two friends, Lola and Joni, each buy an iPod touch for $400, and pay with a credit card. When this happens, the credit card company pays Apple, and the friends become indebted to the credit card company. For every year they don't pay back the debt, the company charges them interest: a percentage of what they owe. The interest rate is called an annual percentage rate (APR), while the amount owed is called a balance.
Calculate how much each person would owe over time if neither made any payments to the credit card company, assuming interest is calculated once per year.
Balance after...
Person: APR 0 years 1 years 2 years 3 years 6 years
Lola 6%:
Joni 36%
In reality, credit card companies don't charge interest every year, they charge interest every month. To determine the monthly interest rate, divide the APR by 12.
Lola has an annual rate of 6%. So Lola has a monthly rate of
0.5%
Joni has an annual rate of 36%. So Joni B has a monthly rate of:
3%
Given that both Lola and Joni charge $400 initially calculate how much each person would owe over time if neither made any payments to the credit card company, assuming interest is compounded monthly.
Balance after...
Person: APR 0 years 1 years 2 years 3 years 6 years
Lola 6%
Joni 36%
Do you think it matters how often credit card companies charge interest? Explain.
Yes it matters because the more often they calculate the interest the higher the amount goes.
If neither friend made any payments for 10 years, how much would the $400 iPod end up costing in total (with monthly compounding)?
Lola's total cost (balance after 10 years): $
Joni's total cost (balance after 10 years): $
Amy's total cost: $697.26
Mackenzie's total cost: $11904.62
How to solveAmount = P = 340
Amy's interest rate = ra = 6% = 0.06
Mackenzie's interest rate = rm = 30% = 0.3
Amount is compounded yearly.
Amount at the end of the year is calulated as
Pn= P(1+r)
We will use Excel to fill given table
Person APR 0 1 2 3 6
Amy 6% 340.00 360.40 382.02 404.95 482.30
Mackenzie 30% 340.00 442.00 574.60 746.98 1641.12
Amy has an annual rate of 6%. So Amy has a monthly rate of 6 /12 = 0.5% = 0.005
Mackenzie has an annual rate of 30%. So Mackenzie has a monthly rate of 30/12 = 2.5% = 0.025
Pn= P(1+r)
Here will be replaced by a number of months and r is relaced by monthly interest rate
We can modified this formula as
12n
Pn= P(1+)
Where n and r is same as in first part of question.
We will use excel to fill given table
Person APR 0 1 2 3 6
Amy 6% 340.00 360.97 383.23 406.87 486.90
Mackenzie 30% 340.00 457.26 614.97 827.06 2011.86
From the above two tables, it is clear that it does matter how the company charges interest. When compounded monthly, the amount will more as compared to when compounded yearly. So,
Yes it matters because the more often they calculate the interest the higher the amount goes.
If neither friend made any payments for 12 years, we can add one more column to calculate for n = 12.
Amy's total cost: $697.26
Mackenzie's total cost: $11904.62
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On the axes below sketch the graph of y = 4x² + 8x +3
Label all points of intersection and the turning point in your sketch.
1. Find the vertex (turning point) of the parabola by using the formula x = -b/2a, where a = 4 and b = 8. This gives x = -1, which is the x-coordinate of the vertex. To find the y-coordinate, substitute x = -1 into the equation: y = 4(-1)² + 8(-1) + 3 = -1.
2. Plot the vertex at the point (-1, -1).
3. To find the x-intercepts, set y = 0 in the equation and solve for x. This gives x = (-8 ± √(8² - 4(4)(3)))/(2(4)) = (-8 ± √16)/8 = -1/2 or -3. Plot these points on the x-axis.
4. To find the y-intercept, set x = 0 in the equation and solve for y. This gives y = 3, so the y-intercept is at the point (0, 3).
5. Since the coefficient of x² is positive, the parabola opens upwards. Sketch the curve passing through the points found above.
6. Label the points of intersection and the turning point on the graph.
Each number in the first table represents the points scored by a player on the Ace Academy basketball team. Make a
frequency distribution, including relative frequency (percent of total: frequency)
total
1 5 8 10 10 13
369 10 11 13
379 10 12 14
4 7 10 10 12 14
For the relative frequencies below, round to the nearest tenth.
Score Frequency Relative Frequency
1
The most common point total scored was 10 with a frequency of 9 or 25% of the total frequency.
What is the frequency distribution of points scored?To create the score frequency distribution, we have to list the unique values in the data set and count how many times each value appears.
Element Frequency Relative frequency (percent)1 1 1/24 = 0.042 = 4.2%
3 2 2/24 = 0.083 = 8.3%
4 1 1/24 = 0.042 = 4.2%
5 1 1/24 = 0.042 = 4.2%
6 1 1/24 = 0.042 = 4.2%
7 2 2/24 = 0.083 = 8.3%
8 1 1/24 = 0.042 = 4.2%
9 2 2/24 = 0.083 = 8.3%
10 6 6/24 = 0.25 = 25%
11 1 1/24 = 0.042 = 4.2%
12 2 2/24 = 0.083 = 8.3%
13 2 2/24 = 0.083 = 8.3%
14 2 2/24 = 0.083 = 8.3 %
----------
24
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True or False
This is a Quadratic Equation y=5x+2
The equation is not a quadratic equation. Statement is false.
What is quadratic equation ?A second-order polynomial equation with just one variable, x, is referred to as a quadratic equation. with a ≠ 0 . The fundamental theorem of algebra guarantees that it has at least one solution since it is a second-order polynomial equation. The arrangement might be genuine or complex.
According to question:This is a linear equation in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 5 and the y-intercept is 2. A quadratic equation is an equation in the form y = ax^2 + bx + c, where a, b, and c are constants and x is the variable.
Thus, given equation is not a quadratic equation. Statement is false.
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please help me quick! here is screenshot algebra
The function that is even is f(x) = 6x² - 8.
option C.
What is an even function?An even function is a function that satisfies the condition f(-x) = f(x) for all values of x in its domain. In other words, an even function is symmetric with respect to the y-axis.
The function that is even is calculated as follows;
f(x) = 5x² - x
f(-x) = 5(-x)² - (-x)
f(-x) = 5x² + x
f(x) ≠ f(-x)
f(x) = 3x³ + x
f(-x) = 3(-x)³ + (-x)
f(-x) = -3x³ - x
f(x) ≠ f(-x)
f(x) = 6x² - 8
f(-x) = 6(-x)² - 8
f(-x) = 6x² - 8
so f(x) = f(-x), this function is even.
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3 The circles in the model represent positive and negative units.
O O O
оо
Which equation is true based on the model?
A (-3) + 5 = -2
B (-3) + 5 = 2
C -3+ (-5) = -2
D 3+ (-5) = 2
KEY
= 1
=-1
The equation is true based on the model is B) (-3) + 5 = 2.
If we consider the circles on the left as negative units and the circles on the right as positive units.
Then we can see that there are 5 positive units and 3 negative units, so the sum is
= 5 - 3
= 2.
Therefore, the correct equation is: B) (-3) + 5 = 2.
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Given that f (x) = StartFraction 2 Over x squared EndFraction, What is the value of f(x) when x = 2? a. 2.5 c. 1 b. 2 d. 0.5
For the given function the value of f(x) when x = 2 is 0.5, option (d) is correct.
The given function f(x) = 2/x² represents a hyperbolic curve with a vertical asymptote at x=0 and a horizontal asymptote at y=0. As x approaches infinity or negative infinity, the value of the function approaches 0.
The given function is:
f(x) = 2 ÷ x²
We are asked to find the value of f(x) when x = 2.
Substituting x = 2, we get:
f(2) = 2 ÷ 2²
= 2 ÷ 4
= 1/2
= 0.5
Alternatively, we can use the fact that 2² = 4 and simplify the expression as follows:
f(x) = 2 ÷ x²
= 2 ÷ 4
= 1/2
Then, substituting x = 2, we get the same result:
f(2) = 1/2
f = 0.5
Hence, option (d) is correct.
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Select the correct answer from each drop-down menu. f(x) = x2 − 8x + 15 g(x) = x − 3 h(x) = f(x) ÷ g(x) h(x) = . The domain of h(x) is U .
Answer:
f(x) = x²-8x+15
g(x) = x -3
h(x) = f(x) ÷ g(x)
= x²-8x+15 ÷ x-3
x-3√x²- 8x +15 | x-5
x² - 3x
-5x + 15
- 5x + 15
-----------
h(x) = x-5
ACTIVITY 1: Solve the following rational equation.
The solutions to the rational equations are
(1) x = 14/3 (2) x = -2/3 (3) x = 4(4) x = 0 or x = 3(5) x = 0 or x = -2(6) x = 4/5(7) x = √(17/5)(8) x = 11/9(9) x = -1 or x = 2 (10) x = 1 or x = 2Solving the rational equationsThe rational equations can be solved as follows
(1)
(x - 2)/(2x + 4) = 1/5
This gives
5x - 10 = 2x + 4
So, we have
3x = 14
x = 14/3
(2)
For equation (2), we have
(x + 3)/2 - x/4 = 4/3
So, we have
[2(x + 3) - x]/4 = 4/3
[x + 6]/4 = 4/3
So, we have
3x + 18 = 16
x = -2/3
(3)
For equation (3), we have
3/(x + 1) - 2/(x - 1) = 1/(x² - 1)
So, we have
3(x - 1) - 2(x + 1) = 1
This gives
3x - 3 - 2x - 2 = 1
x = 4
(4)
For equation (4), we have
18/(x² - 3x) = 2x/(x - 3) - 6/x
So, we have
18 = 2x² - 6(x - 3)
This gives
x = 0 or x = 3
(5)
For equation (5), we have
3x/(x + 2) + 6/x + 4 = 12/(x² + 2x)
Multiiply through by x² + 2x
3x² + 6(x + 2) + 4(x² + 2x) = 12
Evaluate
x = 0 or x = -2
(6)
For equation (6), we have
1/(x - 2) + 4/(x + 9) = 3/(x² + 7x - 18)
Multiiply through by (x² + 7x - 18)
x - 9 + 4x + 8 = 3
So, we have
5x = 4
Evaluate
x = 4/5
(7)
For equation (7), we have
3/5x² - 1/5 = 2/25x²
Multiiply through by 25x²
15 - 5x² = 2
So, we have
5x² = 17
Evaluate
x = √(17/5)
(8)
For equation (8), we have
9/(x + 1) = 2/(x² - 1)
Multiiply through by 25x²
9x - 9 = 2
So, we have
9x = 11
Evaluate
x = 11/9
(9)
For equation (9), we have
3/(x³ - 8) = 1/(x - 2)
Cross multiiply
(x³ - 8) = 3(x - 2)
Evaluate
x = -1 and x = 2
(10)
For equation (10), we have
x²/2 - 3x/2 + 1 = 0
Multiiply through by 2
x² - 3x + 2 = 0
Factoize
(x - 1)(x - 2) = 0
So, we have
x = 1 and x = 2
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Find the slope of the line with a y-intercept = 4, passing through the point (2,8)
Answer:
8 = 2m + 4
2m = 4, so m = 2
So the equation of this line is y = 2x + 4.
D is the correct answer.
tan(3) + 1 = sec(3)
Find all solutions of the equation and find the solutions in the interval [0, 2).
The solutions of the equation tan(3) + 1 = sec(3) in the interval [0, 2) are approximately:
3 ≈ 0.523599 radians or 30 degrees (in the first quadrant)
3 + π ≈ 3.66444 radians or 210 degrees (in the third quadrant)
How did we get these values?The equation tan(3) + 1 = sec(3) can be rewritten as:
tan(3) + 1 = 1/cos(3)
Multiplying both sides by cos(3), we get:
sin(3) cos(3) + cos(3) = 1
Using the identity sin(2x) = 2sin(x)cos(x), we can rewrite the left-hand side as:
sin(2*3) + cos(3) = 1
Simplifying this expression, we get:
2sin(3)cos(3) + cos(3) = 1
Factorizing out cos(3), we get:
cos(3)(2sin(3) + 1) = 1
Dividing both sides by 2sin(3) + 1, we get:
cos(3) = 1/(2sin(3) + 1)
We know that sin^2(3) + cos^2(3) = 1, so we can substitute cos^2(3) = 1 - sin^2(3) into the above equation and simplify:
1/(2sin(3) + 1) = cos(3) = sqrt(1 - sin^2(3))
Squaring both sides and simplifying, we get:
(2sin(3) + 1)^2 = 1 - sin^2(3)
Expanding the left-hand side and simplifying, we get:
4sin^3(3) - 3sin^2(3) - 3sin(3) + 1 = 0
This is a cubic equation in sin(3), which can be solved using various methods, such as Cardano's formula or numerical methods. However, the solutions are quite complicated and involve complex numbers.
In the interval [0, 2), we can use a numerical method, such as Newton's method, to find an approximate solution. Starting with an initial guess of sin(3) = 0.5, we can iteratively apply the formula:
sin(3)_n+1 = sin(3)_n - f(sin(3)_n)/f'(sin(3)_n)
where f(sin(3)) = 4sin^3(3) - 3sin^2(3) - 3sin(3) + 1 and f'(sin(3)) = 12sin^2(3) - 6sin(3) - 3.
After several iterations, we find that sin(3) ≈ 0.464758. Substituting this into the equation cos(3) = 1/(2sin(3) + 1), we get cos(3) ≈ 0.885005.
Therefore, the solutions of the equation tan(3) + 1 = sec(3) in the interval [0, 2) are approximately:
3 ≈ 0.523599 radians or 30 degrees (in the first quadrant)
3 + π ≈ 3.66444 radians or 210 degrees (in the third quadrant)
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-3x+6y-2z=5 7x+2y+9z=19 -x+y-z=0
Answer:
x = 7, y = 3, z = -4
Step-by-step explanation:
Can anybody help me ASAP
The volume of the rectangular prism is given as follows:
V = 0.9375 cubic inches.
How to obtain the volume of a rectangular prism?The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:
Volume = length x width x height.
The dimensions for this problem are given as follows:
Height of 4 x 1/4 = 1 inch.Length of 5 x 1/4 = 1.25 inches.Width of 3 x 1/4 = 0.75 inches.Hence the volume is given as follows:
V = 1 x 1.25 x 0.75
V = 0.9375 cubic inches.
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Given cards with the letters A, B,
C, and D, how many different
orders can you place the four
cards?
Lia deposits $100 into a savings account that earns simple interest at a rate
of 5%. If she makes no withdrawals, how much interest has Lia's savings account earned after 5 years?
A. 45
B. 25
C. 75
D. 15
Please explain. I’ll give brainly
Answer:
[tex]100( {1.05}^{5} ) = 127.63[/tex]
[tex]127.63 - 100 = 27.63[/tex]
The closest answer here is B. $25
Answer:
B is the answer of the given above question
The Question is inside of the picture
Answer:
it is the opposite way around
Step-by-step explanation:
College Level Trigonometry!!!
An equation that models the position of the object at time t is:
s(t) = -2cos(2πt/5).
How to interpret the trigonometric graph?The general form for the equation that will model a wave is:
±a (sin/cos) (2π(x - p)/T)
where:
a is the amplitude
p is the phase shift
T is the period.
The ± will become +ve provided that the graph starts in the positive direction, and the will become -ve provided it starts in the negative direction.
The (sin/cos) will become sine provided the graph starts at 0 before it is being shifted. Then, it becomes cosine provided that the graph starts at the amplitude.
In this case, our graph begins at negative, and the at the amplitude that has no phase shift, the ±ve will become -ve, (sin/cos) will now become cos, and p will become zero. Plugging in the values that were given in the problem, we see that a = 2 and T = 5.
Thus, this equation is: s(t) = -2cos(2πt/5).
Read more about trigonometric graph at: https://brainly.com/question/24329125
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A company knows that 32% of their customers order their product in Black and 26% in White and 22% in Grey.
2 orders are made, Find the probability that at least 1 is Grey.
