Answer
Pounds are the currency in Europe. You would exchange 3 pounds for 3.99 American dollars
Step-by-step explanation:
How many times larger is 9 x 10-8 than 3 x 10-127
Answer:
9×10-8=82
3×10-127=-97
Step-by-step explanation:
hope this helps
can someone help me with this
We can expect 10 rolls of 2 in the new experiment.
We have,
The total number of rolls.
Adding up all the frequency.
We get,
= 60 trials
Now,
The number of 2 rolls.
= 8
The percentage of 2 rolls.
= 8/60 x 100
= 13.33%
Now,
New experiment total rolls = 75 trials.
So,
The expected number of 2 rolls.
= 13.33/100 x 75
= 9.99
= 10
Thus,
We can expect 10 rolls of 2 in the new experiment.
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There can be 8 rolls of 2 in a new experiment with 75 trials.
In the given experiment, the frequency of rolling a 2 is 8 out of a total of 75 rolls.
So, the probability of rolling a 2 in one trial is 8/75.
To find the expected number of rolls of 2 in the new experiment with 75 trials, we multiply the probability by the number of trials:
Expected number of rolls of 2
= (8/75) x 75
= 8
Therefore, based on the experimental results, we would expect to get 8 rolls of 2 in a new experiment with 75 trials.
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For 23 years, Janet saved $1,150 at the beginning of every month in a fund that earned 3.25% compounded annually. a. What was the balance in the fund at the end of the period? Round to the nearest cent Round to the nearest cent b. What was the amount of interest earned over the period?
The balance in the fund at the end of 23 years, with monthly deposits of $1,150 and a 3.25% annual interest rate, is approximately $449,069.51. The amount of interest earned over the period is approximately $420,630.49.
a. The balance in the fund at the end of the 23-year period, considering a monthly deposit of $1,150 and an annual interest rate of 3.25% compounded annually, is approximately $449,069.51.
To calculate the balance, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where A is the accumulated balance, P is the monthly deposit, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years.
In this case, we have monthly deposits, so we need to convert the annual interest rate to a monthly rate:
Monthly interest rate = (1 + 0.0325)^(1/12) - 1 = 0.002683
Using this monthly interest rate, we can calculate the accumulated balance over the 23-year period:
A = 1150 * [(1 + 0.002683)^(12*23) - 1] / 0.002683 = $449,069.51
Therefore, the balance in the fund at the end of the 23-year period is approximately $449,069.51.
b. The amount of interest earned over the 23-year period can be calculated by subtracting the total deposits from the accumulated balance:
Interest earned = (Monthly deposit * Number of months * Number of years) - Accumulated balance
Interest earned = (1150 * 12 * 23) - 449069.51 = $420,630.49
Therefore, the amount of interest earned over the 23-year period is approximately $420,630.49.
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help me plssssssssssssssssssssssssssssssssssssssssssss
Answer: stop spamming
Step-by-step explanation:
Consider the solid that lies above the square (in the xy-plane) \( R=[0,2] \times[0,2] \), and below the elliptic paraboloid \( z=25-x^{2}-4 y^{2} \). Using iterated integrals, compute the exact value
Considering the solid that lies above the square (in the xy-plane) \( R=[0,2], times[0,2] The exact value of the triple integral of the given solid is \(\frac{100}3}\).
To calculate this value using iterated integrals, we first integrate with respect to z. The limits of integration for z are given by the equation of the elliptic paraboloid, which gives us 25 - \(x^{2}\) - 4\(y^{2}\) as the upper limit and 0 as the lower limit.
Next, we integrate with respect to y, keeping in mind the limits of the variable y are dependent on x. To determine these limits, we first calculate for y from the equation of the ellipse. This gives us y = \(\sqrt{\frac{25-x^2}{4} }\). Thus, the limits of integration for y are from 0 to \(\sqrt{\frac{25-x^2}{4} }\).
Finally, we integrate with respect to x, with the limits of integration being 0 to 2.
Evaluating the integral gives us the final value of 100/3.
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What are the coordinates of
the midpoint?
2
-3
-2
-1
o
2
-1
-2
a) (0,-1)
b) (0,-2)
c) (0,0)
d) (1,-1)
Answer:
Step-by-step explanation:
Maryann works six and one-quarter hours on Saturday at $9 an hour. What are her earnings on Saturday?
Answer:
56.25
Step-by-step explanation:
6*9=54+2.25= 56.25
Answer:
$56.25
Step-by-step explanation:
So first off we have 6 1/4 hours being worked at the rate of 9 dollars and hour. 6 hours multiplied by 9 dollars will give you 54 dollars. After that all we need to do is get a quarter of 9 dollars, which is $2.25 adding this to our original number of 54, we have $56.25. Hope this helps!
Screenshot below, please help
Answer:
Angles 2 and 5
Step-by-step explanation:
The first choice is wrong because they are not equivalent to each other
Find an equation of the tangent to the curve at the given point by two methods: without eliminating the parameter and by first eliminating the parameter. x = sin(t), y = cos2(t); 2 2 , 1 2
The equation of the tangent to the curve without eliminating the parameter is \(y - cos^2(1/2) = -2sin(1/2) \times cos(1/2)(x - sin(1/2)).\)
The equations of the tangents to the curve by first eliminating the parameter is \(y - cos^2(1/2) = -1 / (2sin(1/2))(x - sin(1/2))\).
To find the equation of the tangent to the curve without eliminating the parameter, we need to find the derivative of both x and y with respect to t.
Given x = sin(t) and y = cos^2(t), we can find the derivatives as follows:
dx/dt = cos(t)
dy/dt = -2sin(t) * cos(t)
Now, we need to find the values of t for which the tangent is desired. Let's substitute the values t = 2 and t = 1/2 into the derivatives:
When t = 2:
dx/dt = cos(2)
\(dy/dt = -2sin(2) \times cos(2)\)
When t = 1/2:
dx/dt = cos(1/2)
\(dy/dt = -2sin(1/2) \times cos(1/2)\)
Now, we have the slopes of the tangents at the given points. Let's use the point-slope form of a line to find the equations of the tangents.
For t = 2:
y - y1 = m(x - x1), where (x1, y1) is the point \((sin(2),cos^2(2))\)
Substituting the values, we get:
\(y - cos^2(2) = -2sin(2) \times cos(2)(x - sin(2))\)
For t = 1/2:
y - y1 = m(x - x1), where (x1, y1) is the point \((sin(1/2), cos^2(1/2))\)
Substituting the values, we get:
\(y - cos^2(1/2) = -2sin(1/2) \times cos(1/2)(x - sin(1/2))\)
This is the equation of the tangent to the curve without eliminating the parameter.
To find the equation of the tangent by eliminating the parameter, we can solve the given equations to express x in terms of y and then find the derivative of x with respect to y.
From the equation x = sin(t), we can express t in terms of x as t = arcsin(x).
Now, substitute this value of t into the equation y = cos^2(t):
\(y = cos^2(arcsin(x))\)
To eliminate the parameter, we need to find the derivative of x with respect to y:
dx/dy = dx/dt * dt/dy
We already found dx/dt as cos(t), and dt/dy can be found by taking the reciprocal of dy/dt.
So, \(dt/dy = 1 / (dy/dt) = 1 / (-2sin(t) \times cos(t))\)
Substituting the values, we get:
dx/dy = cos(t) / (-2sin(t) * cos(t))
Simplifying further, we get:
dx/dy = -1/(2sin(t))
Now, substitute the values t = 2 and t = 1/2 into the derivative:
When t = 2:
dx/dy = -1/(2sin(2))
When t = 1/2:
dx/dy = -1/(2sin(1/2))
Now, we have the slopes of the tangents at the given points. Let's use the point-slope form of a line to find the equations of the tangents.
For t = 2:
y - y1 = m(x - x1), where (x1, y1) is the point \((sin(2), cos^2(2))\)
Substituting the values, we get:
\(y - cos^2(2) = -1 / (2sin(2))(x - sin(2))\)
For t = 1/2:
y - y1 = m(x - x1), where (x1, y1) is the point \((sin(1/2), cos^2(1/2))\)
Substituting the values, we get:
\(y - cos^2(1/2) = -1 / (2sin(1/2))(x - sin(1/2))\)
These are the equations of the tangents to the curve by first eliminating the parameter.
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Which shows the domain and range of these functions? Domain: (Negative infinity, infinity) Range: (Negative infinity, infinity) Domain: (0, infinity) Range: (Negative infinity, infinity) Domain: (Negative infinity, infinity) Range: (0, infinity).
The domain (input values) and range (output values) of the function is, Domain: (Negative infinity, infinity), Range: (0, infinity).
What is domain and range of function?Domain of a function is the set of all the possible input values which are valid for that function.
Range of a function is the set of all the possible output values which are valid for that function.
Given information-
The function given in the problem is,
\(y=f(x)\\y=h(x)\\y=g(x)\\y=k(x)\)
As domain of a function is the set of all the possible input values which are valid for that function. Thus the function should accept all the values for the given function.
Here in the given function the function is takes the input for all the real number form positive to the negative infinite. Thus the domain of the function is,
Domain: (-∞, ∞).
Range of a function is the set of all the possible output values which are valid for that function.
Here the output for the given function gives the positive values to the infinite. thus the range of the function is,
Range: (0, ∞).
Thus, the domain and range of the function is, domain: (Negative infinity, infinity), range: (0, infinity).
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Answer:
Answers for entire slide:
1. B, and D
2. All of them
3. only correct one is C.
Step-by-step explanation:
Source: trust me bro
Joe plays a spin-the-wheel game at the fair.
The probability that he wins is 3/5.
Calculate the probability that he wins three successive games.
Answer:
u should do
Step-by-step explanation:
3 x 3/5 to get ur answer i would do it but i dont have a calculator sorry
but that's how to work it out
Carlos wants to purchase a new tennis racket and decides to purchase some tennis balls as well. His racket cost 55 dollars and each ball costs 2 dollars. If he has 80 dollars, how many tennis balls can he buy?
A) Write the equation that represents this situation.
B) How many tennis balls can he buy?
Answer:
80-55=25
then
25/2=12.5
he can bye 12.5 balls
Step-by-step explanation:
5.21 x 10^-5 _____ 5.2 x 10^-3
Answer:
<
Step-by-step explanation:
At Saturday night’s football game there were 18 less fans than half the fans at Friday night’s game. There were “x” fans at Friday’s game. Write an expression to represent the number of fans at Saturday’s game.
This can be expressed in this form:
1/2x - 18.
he graph below shows the amount of money left in the school’s desk fund, f, after d desks have been purchased.
A graph titled Desk Fund Amount. The horizontal axis shows the number of desks purchased (d), numbered 1 to 9, and the vertical axis shows the dollars left in fund (f) numbered 100 to 800. Blue diamonds appear at points (0, 700), (1, 590), (2, 480), (3, 370), (4, 260), (5, 150), (6, 40).
For each new desk that is purchased, by how much does the amount of money left in the school’s desk fund decrease?
$110
$135
$165
$190
Using a linear function, the decrease in the bank account when each new desk is purchased is given as follows:
$110.
Linear functionThe slope-intercept representation of a linear function is given by the rule presented as follows:
y = mx + b
The coefficients of the function and their meaning are described by the next two bullet points:
m is the slope of the function, representing the change in the output variable y when the input variable x increases by one.b is the y-intercept of the function, which is the numeric value of the function when the input variable x assumes a value of 0.In the context of this problem, the slope and the intercept are defined as follows:
Slope of -110, as for each new desk purchased, the balance of the fund decreases by $110.Intercept of 700, as when no desks have been purchased, the balance of the fund is of $700.Hence the function is defined as follows:
f(d) = -110d + 700.
From the slope, the decrease is of $110.
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what proportion of values for a standard normal distribution are less than 2.98?
Regardless of the appearance of the normal distribution or the size of the standard deviation, approximately less than 2.98% of observations consistently fall within two deviations types (one high and one low).
The normal distribution, also known as the Gaussian distribution, is a probability distribution symmetrical about the mean, indicating that data near the mean occurs more frequently than data far from the mean. In graphical form, the normal distribution is represented by a "bell curve".
The normal distribution is important in statistics and is often used in the natural and social sciences to represent real-valued random variables whose distribution is unknown. Their importance is partly due to the central limit theorem. It states that in some cases the mean of many samples (observations) of a random variable with finite mean and variance is itself a random variable - whose distribution converges to a normal distribution as the size of the l sample increases. Therefore, physical quantities assumed to be the sum of many independent processes, such as measurement errors, tend to have a near-normal distribution.
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On a map in a geography textbook, the scale is 1 inch equals 60 miles.What is the actual distance for a map distance of 4 1/4 inches?
Answer:
255 miles
Step-by-step explanation:
if 1 inch is 60 miles then you need to times 60 miles by 4.25 which is the same thing as 4 1/4. you then get 255 miles.
a random sample of size 30 from a normal population yields a sample mean of 32.8. the population standard deviation is known to be 4.51. construct a 95 percent confidence interval for the mean.
The 95 percent confidence interval for the mean (μ) is (31.19, 34.41).
What is standard deviation?
A measure of a group of values' variance or dispersion in statistics is called the standard deviation. The values tend to be close to the set's mean when the standard deviation is low, while the values are dispersed over a larger range when the standard deviation is high.
Given: A random sample of size 30 from a normal population yields a sample mean of 32.8.
The population standard deviation is known to be 4.51.
X bar = 32.8
s = 4.51
We have to construct a 95 percent confidence interval for the mean (μ).
So, the interval is,
32.8 ± 1.96 (4.51 / √30) = 31.19 to 34.41
Hence, the 95 percent confidence interval is, (31.19, 34.41).
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Please help!!
What is the probability that either event will occur?
8
A
3
B
10
12
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = [?]
Enter as a decimal rounded to the nearest hundredth.
Answer:
P(A or B) = 0.64
Step-by-step explanation:
You want the probability that A or B will occur, given the occurrence counts shown in the Venn diagram.
A or BThe formula shown in the diagram shows you how to compute the probability. It can be simpler than that.
The number of counts in the circles A or B is ...
8 + 3 + 10 = 21.
The total number of counts in the diagram is ...
21 +12 = 33
Then ...
P(A or B) = (counts of A or B)/(total counts) = 21/33 = 7/11 = 0.6363...
Rounded to hundredths, the probability is ...
P(A or B) = 0.64
__
Additional comment
If you use the formula, it tells you ...
P(A or B) = 11/33 +13/33 -3/33 = 21/33 ≈ 0.64
Note that we have added 3/33 to the sum twice and subtracted it once. The computation shown above eliminates the extra addition and subtraction.
<95141404393>
Compare the budgets of Hong Kong, United States of America, and
Korea based on your definition of a budget, in terms of contents,
formats, advantages, and disadvantages, etc.
The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.
A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:
Hong Kong Budget:United States Budget:
Contents: The US budget comprises revenue, expenditures, and deficit or surplus. It includes an analysis of taxes, social security, and Medicare.Format: The US budget is presented in a complex and lengthy format, including tables, graphs, and other financial documents.Advantages: The budget provides detailed information on tax expenditures and encourages public participation in the budget process.Disadvantages: The budget can be challenging to understand due to its complexity, and it may not provide an accurate depiction of federal spending.Korean Budget:
Contents: The Korean budget comprises revenue, expenditures, and surplus or deficit. It includes detailed information on taxes, social security, and public welfare.Format: The Korean budget is presented in a clear and concise format, including tables and charts to aid understanding.Advantages: The budget is easy to understand, and it promotes transparency and accountability. It also provides detailed information on social welfare expenditures.Disadvantages: The budget may not provide an accurate depiction of government spending, and it may not include information on hidden expenditures.Learn more about Budget:
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Examine parallelogram ABCD below.
Determine which of the following values are correct. Select three that apply.
A
m2D = 105
B
m2A = 75°
C
m2 = 93°
D
m2B = 87°
E
x = 16
F
x = 19
Given that,
∠C = (6x-21)° and ∠A = (4x+11)°
To find,
Choose the correct option.
Solution,
For a parallelogram, the opposite angles are equal. ATQ,
(6x-21)° = (4x+11)°
Taking like terms together,
6x-4x = 21 + 11
2x = 32
x = 16
∠C = (6x-21)° = 6(16) -21 = 75°
So, ∠A = 75°
So, ∠A = ∠C = 75°. Hence, the correct option is (B).
A hill on a hiking trail goes up to 69 feet over a distance of 138feet. Find the grade of the hill
Answer: The grade of the hill = 50%
Step-by-step explanation:
The grade is the slope( expressed as a percent). To evaluate the slope we divide the rise by the run.
Given: A hill on a hiking trail goes up to 69 feet over a distance of 138 feet.
So, rise= 69 feet , run = 138 feet.
The grade of the hill = \(\dfrac{rise}{run}\times100\)
\(=\dfrac{69}{138}\times100=50\%\)
Hence, the grade of the hill = 50%
Student Name: Q2A bridge crest vertical curve is used to join a +4 percent grade with a -3 percent grade at a section of a two lane highway. The roadway is flat before & after the bridge. Determine the minimum lengths of the crest vertical curve and its sag curves if the design speed on the highway is 60 mph and perception/reaction time is 3.5 sec. Use all criteria.
The minimum length of the crest vertical curve is 354.1 feet, and the minimum length of the sag curves is 493.4 feet.
In designing the crest vertical curve, several criteria need to be considered, including driver perception-reaction time, design speed, and grade changes. The design should ensure driver comfort and safety by providing adequate sight distance.
To determine the minimum length of the crest vertical curve, we consider the stopping sight distance, which includes the distance required for a driver to perceive an object, react, and come to a stop. The minimum length of the crest curve is calculated based on the formula:
Lc = (V^2) / (30(f1 - f2))
Where:
Lc = minimum length of the crest vertical curve
V = design speed (in feet per second)
f1 = gradient of the approaching grade (in decimal form)
f2 = gradient of the departing grade (in decimal form)
Given the design speed of 60 mph (or 88 ft/s), and the grade changes of +4% and -3%, we can calculate the minimum length of the crest vertical curve using the formula. The result is approximately 434 feet.
Additionally, the sag curves are designed to provide a smooth transition between the crest curve and the approaching and departing grades. The minimum lengths of the sag curves are typically equal and calculated based on the formula:
Ls = (V^2) / (60(a + g))
Where:
Ls = minimum length of the sag curves
V = design speed (in feet per second)
a = acceleration due to gravity (32.2 ft/s^2)
g = difference in grades (in decimal form)
For the given scenario, the difference in grades is 7% (4% - (-3%)), and using the formula with the design speed of 60 mph (or 88 ft/s), we can calculate the minimum lengths of the sag curves to be approximately 307 feet each.
By considering the perception-reaction time, design speed, and grade changes, the minimum lengths of the crest vertical curve and the sag curves can be determined to ensure safe and comfortable driving conditions on the two-lane highway.
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kenny is practicing for a typing test to obtain a job as a paralegal. the number of words he can type is proportional to the number of minutes he types. if the test is 18 minutes long, how many words will kenny be able to type?
Kenny will be able to type 18 times the number of words he can type in one minute.
Assuming that Kenny's typing speed remains constant over time, we can use the concept of direct proportionality to determine the number of words he can type in 18 minutes. Let's say Kenny can type w words per minute, then we can write:
w ∝ minutes
This means that the number of words he can type is directly proportional to the number of minutes he types. We can express this proportionality as:
w = k * minutes
where k is the constant of proportionality that relates the number of words typed to the time taken. To find the value of k, we need to use the given information that Kenny's typing speed is proportional to the number of minutes he types. If we know the number of words he can type in one minute, we can find the value of k. Let's say he can type x words in one minute, then we can write:
x = k * 1
Solving for k, we get:
k = x
Therefore, the equation for the number of words he can type is:
w = x * minutes
If we substitute minutes = 18, we get:
w = x * 18
So, Kenny will be able to type 18 times the number of words he can type in one minute.
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Pls pls Pls pls pls helpppp meee asappppp i will give BRAINLIEST!!!!!!
Answer:
27ft
Step-by-step explanation:
Answer:
its simple you will need 5ft of carpet
Step-by-step explanation:
Working together, it takes two computers minutes to send out a company's email. If it takes the slower computer minutes to do the job on its own, how long will it take the faster computer to do the job on its own
According to the given statement The faster computer will take 2 minutes to send out the company's email on its own.
To solve this problem, let's assign variables to the given information. Let "x" represent the time it takes the slower computer to send out the company's email on its own, and let "y" represent the time it takes both computers working together to send out the email.
According to the problem, it takes two computers "y" minutes to send out the email, and it takes the slower computer "x" minutes to do the job on its own.
Since the two computers are working together, we can set up the following equation: 1/x + 1/y = 1/t, where "t" represents the time it takes the faster computer to do the job on its own.
Substituting the given values into the equation, we have: 1/x + 1/y = 1/2y
To find the value of "t", we need to solve for "y" in terms of "x". Multiply both sides of the equation by 2xy to eliminate the denominators:
2y + 2x = xy
Rearranging the equation, we get:
xy - 2y - 2x = 0
Now, let's factor the equation:
y(x - 2) - 2(x - 2) = 0
Simplifying further:
(x - 2)(y - 2) = 0
Since we are looking for the time it takes the faster computer to do the job on its own, we disregard the solution (y - 2) = 0, which gives us y = 2.
Therefore, the faster computer will take 2 minutes to send out the company's email on its own.
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Practice exercise for GED Can I find the correct forms doing mean variance and standard deviation discrete probability
Given
Probability distribution table
Find
Mean , variance and Standard Deviation
Explanation
As we have given
X = 0 , 1 , 2 , 3 , 4 , 5
P(X) = 0.15 , 0.20 , 0.35 , 0.22 , 0.07 , 0.01
Mean
Formula is given by
\(\mu=\sum_^X\cdot P(X)\)first we find the values of X.P(X)
\(\begin{gathered} \sum_^X\cdot P(X)=0+0.20+0.70+0.66+0.28+0.05 \\ \sum_^X\cdot P(X)=1.89 \end{gathered}\)Variance =
\(\begin{gathered} \sum_^(x-\mu)^2P(x) \\ 0.54+0.16+0+0.27+0.31+0.10 \\ 1.3779\approx1.38 \end{gathered}\)standard deviation =
\(\begin{gathered} \sqrt{variance} \\ \sqrt{1.38} \\ 1.174\approx1.17 \end{gathered}\)Final Answer
Therefore ,
Mean = 1.89
Variance = 1.38
Standard Deviation = 1.17
Algebraic models grade 12 math college please write the answers without explaining thank you.
From the problem :
\(6^4\times6^{-5}\)In multiplying expressions with the same bases, the exponent will be added accordingly.
For example :
\(a^m\times a^n=a^{m+n}\)the exponent of a are m and n, and the product will be a raised to the sum of m and n.
Applying this to the problem, we have :
\(6^4\times6^{-5}=6^{4-5}=6^{-1}\)The answer is d. 6^-1
Choose the function whose graph is given by:
O A. y= -0.5sin x
O B. y= cos X
Oc. y= 0.5cos x
OD. y= cos(2x)
(Ignore the answer selected I don’t know it it’s correct)
Using translation concepts, the function whose graph is plotted is given by:
y = 0.5cos(x).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the y-intercept is different of zero, hence it is a cosine function. The amplitude is of 0.5, hence the function is multiplied by 0.5, that is, y = 0.5cos(x), which means that option C is correct.
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The diameter of a circle is 8 millimeters. What is the circle's circumference?
Step-by-step explanation:
The circumference of a circle can be calculated using the formula C = πd, where d is the diameter. Substituting d = 8 millimeters and using the approximation π ≈ 3.14, we get:
C = πd = 3.14 x 8 mm = 25.12 mm
Therefore, the circle's circumference is 25.12 millimeters.