Stella was out at a restaurant for dinner when the bill came. Her dinner came to $10. She wanted to leave a 25% tip. How much was her meal plus the tip, before tax, in dollars and cents?
Answer:
12.50
Step-by-step explanation:
Sam saved $50 from his summer job to buy video games. He bought 3 video
games and the cashier gave him $12.80 in change. If each game cost the same
amount, how much was each video game?
Answer:
$12.40
subtract 12.80 from 50 to get 37.20 then divide by 3
a
Negative
b
Zero
c
Positive
d
Undefined
Find the indicated probability using the standard normal distribution.P(-2.18
we have
Z1=0
Z2=-2.18
so
using the z-scores table values
P(-2.18ΔQRS is an isosceles triangle. What is the length of RT¯¯¯¯¯
R
T
? Round to the nearest hundredth. Enter your answer in the box.
\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{11}\\ a=\stackrel{adjacent}{6}\\ o=\stackrel{opposite}{RT} \end{cases} \\\\\\ RT=\sqrt{ 11^2 - 6^2}\implies RT=\sqrt{ 121 - 36 } \implies RT=\sqrt{ 85 }\implies RT\approx 9.22\)
Find the critical value
χ2R
corresponding to a sample size of 5 and a confidence level of 99.0 percent
The critical value, given the sample size of 5 and the confidence level of 99. 0 percent would be 16. 812.
How to find the critical value ?The critical values for the chi-squared (χ^2) distribution depend on the degree of freedom and the level of significance.
The degree of freedom for a chi-squared distribution typically equals the sample size minus 1 so the degrees of freedom here is:
= 5 - 1
= 4
The level of significance would be:
= 1 - 99. 0 %
= 0. 01
The critical value of the sample would therefore be found on a chi -squared distribution table for df = 4 and α = 0.01 to be 16. 812.
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Which sequence of transformations was applied to the parent tangent function to create the function m(x) = 2tan(3x+4)
The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.
To determine the sequence of transformations, let's break down the given function:
1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.
2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.
3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.
4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.
5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.
In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.
Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.
After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)
This example helps illustrate the effect of the transformations on the graph of the function.
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8(3x-2+w) help meee plz
Answer:
24x -16 +8w
Step-by-step explanation:
Just distribute
Answer:
8w+24x=-16
Step-by-step explanation:
All you do is times 8 to all those numbers!!!!!
given the function below, which of the following values will result in f(x)=10
f(x)=1/2x+8
Answer: x=4
Step-by-step explanation:
1/2x+8=10
Subtract 8 from 10
Multiply 2 to 2
x=4
Step-by-step explanation:
1/2(10)+8=
1/20+8=
161/20=
8.05
ASAP PLSSS!!!!!!!!!!1!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: i think its the last one bc if you multiply 9 and 3 in its gets you 18
Step-by-step explanation:
Answer:
V=(1/3)πr²h
v=
\( \frac{1}{3} \times {3}^{2} \times 9 \times \pi \\ = 27\pi\)
27pi in³
27pi in³First option
Brainliest please~
A least squares regression line: a. may be used to predict a value of y if the corresponding x value is given b. implies a cause-effect relationship between x and y c. can only be determined if a good linear relationship exists between x and y d. None of these alternatives is correct.
Answer:
a) May be used to predict a value of y if the corresponding x value is given
Step-by-step explanation:
In regression analysis, the vertical distance from the regression line to the data points can be minimized using the least square regression line.
Given the example of a least square regression equation:
y = ax + b
Where
a = slope
b = Y-intercept
If the value of x is known, the value of y may be predicted.
Option A is correct.
A least squares regression line may be used to predict a value of y if the corresponding x value is given
The least square regression line implies a mathematical equation which models the relationship between the dependent and independent variables. Hence, it may be used to predict a value of y if the corresponding x value is given.
The least square regression line also called the best fit line, gives a mathematical relationship between variables in slope - intercept form. The predicted value of y or x if the corresponding value of either variable is given.Hence, the most appropriate option is "
may be used to predict a value of y if the corresponding x value is given."
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1. Which of the following inequalities is equivalent to
1
3
-
O A
x ≥ 2?
x 22
x 21
B
x ≤ 2
x ≤ 1
1 point
Answer: A
Step-by-step explanation:
To solve this type of problem we must move some things around
3-(1/2)x>= 2
Isolate the variable: 3-3-(1/2)x>= 2-3
Simplify: -(1/2)x>= -1
Isolate the variable(continued): (-(1/2)*x)/(-1/2) >= -1/(-1/2)
Simplify: x>=2
Need help Please due in 1 hr
We can see here that the data set approximately periodic. The period and amplitude is: Periodic with a period of 4 and an amplitude of about 30.
What is amplitude?The size or magnitude of a wave or vibration is measured by its amplitude in physics. It describes the greatest deviation of a wave from its equilibrium or rest state, or the greatest intensity of an electromagnetic or sound wave.
When referring to waves, amplitude is commonly calculated as the distance between a wave's peak or trough and its resting position.
We can deduce that the values are being repeated at regular interval of four (4).
For the amplitude:
\(Amplitude: \frac{140 - 74}{2}\)
Amplitude = 33 ≈ 30.
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Question 16 of 50
The point (1, -4) is a solution of the system:
x + 2y = -7
-4y = -x
True
False
Answer:
False
Step-by-step explanation:
1 + 2 (-4) = -7
1 - 8 = -7
-7 = -7
-4 (-4) = -1
16 = -1
Suppose that you decide to buy a car for 27,635, including taxes and license fees. You saved 5000 for a down payment and can get a four year car loan at 7.78% what is the monthly payment
Answer:
Monthly payment= $550.25
Step-by-step explanation:
First, we need to calculate the value of the loan:
Loan= 27,635 - 5,000
Loan= $22,635
Now, the monthly payment:
Interest rate (i)= 0.0778/12= 0.006483
n= 4*12= 48 months
Loan (PV)= $22,635
We need to use the following formula:
Monthly payment= (PV*i) / [1 - (1+i)^(-n)]
Monthly payment= (22,635*0.007483) / [1 - (1.006483^-48)]
Monthly payment= $550.25
You deposit $300 in an account that earns simple interest at an annual rate of 6.5%.
If no other deposits or withdrawals were made, what is the total amount of money in the account at the end of 8 years?
Total amount of money in the account will be $456.
How much money will be in the account after 8 years?Simple interest is an interest charge that borrowers pay lenders for a loan. It is calculated using the principal only and does not include compounding interest.
The formula for simple interest is: Simple Interest = Principal × Rate × Time
Principal (P) is $300
Rate (R) is 6.5%
Time (T) is 8 years.
Simple Interest = $300 × 0.065 × 8
Simple Interest = $156
Total Amount = Principal + Simple Interest
Total Amount = $300 + $156
Total Amount = $456.
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True or false? In a two-column proof, the left column states your reasons.
A. True
B. False
A. True.
In a two-column proof, the left column consists of statements, which are the facts or assumptions that lead to the proof of the theorem, while the right column consists of the reasons or justifications that explain how each statement logically follows from the previous one. Therefore, the left column states your reasons is a true statement.
The answer to the student's question is True. In a two-column proof, the left column contains the statements (steps) and the right column contains the corresponding reasons (justifications).
Explanation:The answer to the question, 'True or false? In a two-column proof, the left column states your reasons', is A. True.
A two-column proof is organized into two columns. The left column contains the 'Statements' and the right column contains the corresponding 'Reasons'. The 'Statements' are the steps that lead to the conclusion of the proof, while the 'Reasons' justify each of those steps according to rules or laws of mathematics.
For example, if we want to prove that the opposite angles of a parallelogram are equal. The left column (Statements) could contain the first step 'ABCD is a parallelogram' and the right column (Reasons) would give the explanation 'Given'. Therefore, in a two-column proof, the left column does represent statements, not reasons.
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All tickets for a Post Malone concert are the same price. The ticket agency adds a fixed fee to every order. A person who orders 3 tickets pays $92. A person who orders 5 tickets pays $142.
A. Write an equation relating the total cost to the number of tickets purchased.
B. How much do 8 tickets cost?
Answer: B.
$234
Step-by-step explanation:
92+142
Write an expression that is equivalent to 1/2a -4
Answer:7
Step-by-step explanation:
7
At a college, Four-fifths of the students take an English class. Of these students, StartFraction 5 Over 6 EndFraction take Composition. Which fraction of the students at the college take Composition?
Answer:
2/3 i think im right
Answer:
2/3
Step-by-step explanation:
took the test on edge
Descriptions of three studies are given. In each of the studies, the two populations of interest are students majoring in science at a particular university and students majoring in liberal arts at this university. For each of these studies, indicate whether the samples are independently selected or paired. Study 1: To determine if there is evidence that the mean number of hours spent studying per week differs for the two populations, a random sample of 100 science majors and a random sample of 75 liberal arts majors are selected. independently selected paired Study 2: To determine if the mean amount of money spent on textbooks differs per semester, a random sample of science majors is selected. Each student in this sample is asked for two data values: how much money they spent on textbooks in the spring semester and how much money they spent on textbooks in the fall semester. independently selected paired Study 3: To determine if the mean amount of time spent using the campus library differs for the two populations, a random sample of science majors is selected. A separate random sample of the same size is selected from the population of liberal arts majors. independently selected paired
Answer:
Step-by-step explanation:
Independently selected samples measures scores on the same variable but for two different groups of cases while Paired-samples measures scores on two different variables but for the same group of cases.
In case study 1, the sample is independently selected; a random sample of 100 science majors and a random sample of 75 liberal arts majors are selected: two different group of cases and just one variable, to compare the mean number of hours.
In case study 2, the samples are paired, a random sample of science majors is selected. Each student in this sample is asked for two data values: a group of case but two different variables; how much money they spent on textbooks in the spring semester and how much money they spent on textbooks in the fall semester were measured.
In case study 3, the samples were independently selected. Two different group of cases; a random sample of science majors is selected. A separate random sample of the same size is selected from the population of liberal arts majors were measured for just one variable the mean amount of time spend in campus.
Independently sample data measure the very same factor but for two separate groups of instances, whereas paired-samples test the same factor but for the same selection of studies.
For point 1:
The sampling is chosen at random a randomized total number of 100 science degrees. The random sample of 75 art students is chosen from the 2 distinct groups of examples. It only with one variable for comparing the mean amount of hours.For point 2:
After matching the samples, a random sample of science majors is chosen. In each student in this sample was asked for 2 data values: a set of the case but two separate variables. how much amount they spend on books in the spring semester as well as how much amount they spend on texts in the fall semester.For point 3:
The sample was randomly chosen in each of the three categories of cases, a random sample of science majors is chosen. A second random selection of the same size was drawn from the community of liberal arts majors. In this, only one variable, the mean length of time spent on campuses, was evaluated.Therefore, the final answer is "Independently selected, paired, and Independently selected ".
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Select the correct answer.
Which is a measure of the efficiency of an investment?
O A.
О в.
O C.
return rate
return on investment
efficiency coefficient
Option (B): Return on investment is a measure of the efficiency of an investment.
What is meant by return on investment?
A ratio between net income and investment is known as return on investment or return on costs. A high ROI indicates that the returns on the investment outweigh the costs. ROI is used as a performance metric to assess an investment's efficiency or to compare the effectiveness of multiple distinct investments.
Investment efficiency is an essential topic because firms with better investment efficiency are related to reduced agency problems which suggests that aligning the interest of management and shareholders of the firms minimises the risk of deviating from the expected level of investment.
Therefore the return on investment gives the measure of the efficiency of an investment.
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The general form of the equation of a circle is a X squared plus BY squared plus 3X plus 3Y plus Z equals zero wear a equals B does not equal zero is the circle has a radius of three units in the center lies on the Y axis, which set of values of a B C,D and E my correspond to the circle
The set of values that corresponds to the circle with a radius of three units and the center lying on the Y axis is:
A = 1, B = 1, C = 0, D = 3, E = 0.
The general equation of a circle is given by:
x^2 + y^2 + 2gx + 2fy + c = 0
In this case, since the circle has a radius of three units and the center lies on the Y axis, we can deduce the following information:
The center of the circle lies on the Y axis, which means the x-coordinate of the center is zero.
The radius of the circle is three units, which means the distance from the center to any point on the circle is three units.
Using the information above, we can substitute the values into the general equation to solve for the corresponding values:
Substituting the x-coordinate of the center (zero) into the equation, we have:
0^2 + y^2 + 2g(0) + 2fy + c = 0
y^2 + 2fy + c = 0
Since the center lies on the Y axis, the x-coordinate is zero, so the term with x (2gx) becomes zero.
Substituting the radius of the circle (three) into the equation, we have:
(3)^2 = 9
Therefore, the equation becomes:
y^2 + 2fy + c = 9
Comparing this equation with the general form of the circle equation, we can deduce the values of A, B, C, D, and E as follows:
A = 1 (coefficient of x^2)
B = 1 (coefficient of y^2)
C = 0 (constant term)
D = 3 (coefficient of x)
E = 0 (coefficient of y)
Hence, the set of values that corresponds to the circle is A = 1, B = 1, C = 0, D = 3, and E = 0.
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Your parents have a credit card with a balance of $3,287.90 at an interest rate of 14.5% APR. They pay $1,200.00 each month on the due date until the card is paid off. How many months does it take to pay off the card, and what is the total amount paid including interest?
Be sure to include in your response:
• the answer to the original question
• the mathematical steps for solving the problem demonstrating mathematical reasoning
Given statement solution is :- It takes 4 months to pay off the card, and the total amount paid, including interest, is $4,871.78.
To find out how many months it takes to pay off the credit card and the total amount paid including interest, we can use the following steps:
Step 1: Calculate the monthly interest rate
Divide the annual percentage rate (APR) by 12 to get the monthly interest rate.
Monthly interest rate = 14.5% / 12 = 0.145 / 12 = 0.01208 (rounded to 5 decimal places)
Step 2: Set up the equation for the number of months
Let's denote the number of months it takes to pay off the card as 'n'. The monthly payment is $1,200.00, and the initial balance is $3,287.90. The monthly interest rate is 0.01208. The equation for the number of months can be written as:
(1) $3,287.90 ×\((1 + 0.01208)^n\) - $1,200.00 ×\([(1 + 0.01208)^n\) - 1] = 0
Step 3: Solve the equation
To find the value of 'n', we need to solve equation (1). However, solving it algebraically can be complex. Instead, we can use numerical methods like trial and error, or we can use a spreadsheet or a calculator to find the solution.
Using a spreadsheet or a calculator, we can input the values and increment 'n' until we find the point where the equation equals zero.
After performing the calculations, it is determined that it takes approximately 4 months to pay off the card, and the total amount paid, including interest, is $4,871.78.
Therefore, the answer to the original question is that it takes 4 months to pay off the card, and the total amount paid, including interest, is $4,871.78.
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Point E has the same y-coordinate as point D, but the x-coordinate of point E is the opposite of the x-coordinate of point D.
The coordinate of point D and point E will be (x, y) and (-x, y), respectively.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line in the m:n ratio, finding the mid-point of the line, etc.
Let the coordinate of the point D be (x, y).
Point E has a similar y-coordinate as point D. Then the ordinate of the points will be the same.
And the x-direction of point E is something contrary to the x-direction of point D. Then the coordinate of point E will be (-x, y).
The coordinate of point D and point E will be (x, y) and (-x, y), respectively.
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A school district has 62 elementary teachers. This is 25% of the total
number of teachers in the district. What is the total number of teachers in
the school district? *
259 teachers
0
260 teachers
0
248 teachers
0
232 teachers
Answer:
248 teachers
Step-by-step explanation:
Apply the equation found in question 1 to compute the time it would take to cook a 12-pound beef roast. from USAtestprep
The question is an illustration of functions and equations
The assumed equation implies that it will take 6 minutes to cook a 12-pound beef roast
How to calculate the timeThe equation to calculate the time is missing.
So, we make use of the following equation
\(y =0.5x\)
Where:
x represents the weight of the beef, in poundsy represents time, in minutesSo, we have:
\(y =0.5 * 12\)
\(y =6\)
Using the assumed equation, it will take 6 minutes to cook a 12-pound beef roast
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Marvin runs on a regular basis, but he knows he could get injured if he runs long distances too frequently. How far will he run if he wants to run 75% of his distance from last week, when he ran 20 total miles
Find the x-intercept and y-intercept of the line.
8x-5y = 18
Answer:
Y intercept (9/4,0)
X intercept (0,-18/5)
Step-by-step explanation:
The x-intercept is (2.25, 0) and the y-intercept is (0, -3.6).
To find the x-intercept and y-intercept of the line represented by the equation 8x - 5y = 18, we need to set one of the variables to zero and solve for the other variable.
1. X-Intercept (where y = 0):
To find the x-intercept, set y = 0 in the equation:
8x - 5(0) = 18
8x = 18
Now, solve for x:
x = 18/8
x = 9/4 or 2.25
So, the x-intercept is (2.25, 0).
2. Y-Intercept (where x = 0):
To find the y-intercept, set x = 0 in the equation:
8(0) - 5y = 18
-5y = 18
Now, solve for y:
y = 18/(-5)
y = -18/5 or -3.6
So, the y-intercept is (0, -3.6).
Therefore, the x-intercept is (2.25, 0) and the y-intercept is (0, -3.6).
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What ordered pair describes the location of point A?
Enter your answer by filling in the boxes.
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