The table shows the cost, c, of making different numbers of shirts, t. Create an equation to model the cost.
Number of Shirts, t 100 250 500
Cost to Company, c $600.00 $1,387.50 $2,700.00
Equation __
Answers
The equation to model the cost of making different numbers of shirts is c = 7.50t - 750.
What is slope-intercept form?Y = mx + b, where x is the independent variable, m is the slope, and b is the y-intercept, is the slope-intercept form of a linear equation. The dependent variable's rate of change with respect to the independent variable is represented by the slope (m), and its value when the independent variable is zero is shown by the y-intercept (b).
This equation's form is helpful for charting linear functions since the slope and y-intercept provide information about the direction and steepness of the line as well as its point of intersection with the y-axis.
The linear equation is given by the formula:
y = mx + b
Here. m is the slope.
The value of m is given as:
m = (y2 - y1) / (x2 - x1)
Substituting the points 100, 600) and (250, 1387.50) from the table:
m = (1387.50 - 600) / (250 - 100)
m = 7.50
Now, for the y-intercept b we have:
b = y - mx
Substituting the data point:
b = 600 - 7.50(100)
b = -750
Now the equation of the model is:
c = 7.50t - 750
Hence, the equation to model the cost of making different numbers of shirts is c = 7.50t - 750.
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Related Questions
The vertices of quadrilateral ABCD are (-6,6),(3,6),(3,-6) and (-3,-3)
Quadrilateral EFGH will be a dilation if quadrilateral ABCD with a scale factor of 1/3
At what coordinates should point F, of quadrilateral EFGH, be plotted?
A. (2,2)
B. (1,2)
C. (2,1)
D. (1,1)
Answers
Answer: B
Step-by-step explanation:
Paint comes in 5 liter cans. The principal needs 43 liters of paint to repaint the school. How many cans must he buy?
Answers
Answer:
he needs 9 cans
Step-by-step explanation:
first,
43L/5L
= 8.6 cans
8.6 cans is not logical therefore u need to round up to 9 cans
Freebie!! Enjoy! Have a good day!
“Never follow anyone else’s path. Unless you’re in the woods and you’re lost and you see a path. Then by all means follow that path.”
—Ellen DeGeneres
Answers
Answer:
You as well!
Step-by-step explanation:
the european and mediterranean population is declining as a proportion of the total u.s. population and will be less than 50% of the population by:
Answers
Hope this helps ; )
What is the area, in square cm, of a rectangle with a length of 5.6 cm and a width of 6 cm? *
Answers
Answer:
33.6 cm²
Step-by-step explanation:
Length x width = Area of the rectangle
5.6cm x 6cm = 33.6m²
Please give me the correct answer.Only answer if you're very good at math.Please don't put a link to a website.
Answers
Answer:
a is equal to 0
Answer: A is equal to 0
Anything’s you time by 0 you get 0 remember that
Step-by-step explanation:
0 and 0.1*0=0 and 0.01*0=0 so 0=0
d²v dt² v=2t² +7t+11 Find
Answers
The second derivative of v with respect to t, denoted as d²v/dt², is equal to 4
The second derivative of v with respect to t, we will differentiate v twice.
v = 2t² + 7t + 11
First, let's find the first derivative of v with respect to t (dv/dt):
dv/dt = d/dt (2t² + 7t + 11)
Using the power rule of differentiation, we differentiate each term separately:
dv/dt = 2(2t) + 7(1) + 0
dv/dt = 4t + 7
Now, let's find the second derivative of v with respect to t (d²v/dt²):
d²v/dt² = d/dt (4t + 7)
Again, using the power rule of differentiation, we differentiate each term separately:
d²v/dt² = 4(1) + 0
d²v/dt² = 4
Therefore, the second derivative of v with respect to t, denoted as d²v/dt², is equal to 4.
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this is very important... its for alegbra.. please help
Answers
Answer in decimal form = -0.2
Answer as a fraction = -1/5
=========================================================
Explanation:
The term "rate of change" is the same as "slope" for linear equations.
Use the slope formula to get the steps shown below.
\((x_1, y_1) = (-3, 3.6) \text{ and } (x_2, y_2) = (5, 2)\\\\m = \frac{y_2 - y_1}{x_2 - x_1}\\\\m = \frac{2-3.6}{5-(-3)}\\\\m = \frac{2-3.6}{5+3}\\\\m = \frac{-1.6}{8}\\\\m = \frac{-16}{80}\\\\m = -\frac{1}{5}\\\\m = -0.2\\\\\)
The decimal value is exact without any rounding done to it.
A slope of -1/5 means we go down 1 unit and to the right 5 units.
slope = rise/run = -1/5
rise = -1 = go down 1
run = 5 = go to the right 5
What is the value of K the line?
Answers
As asked by the question, the value of K for a given equation of a line is equal to the slope of the line.
What is a line?A line has length but no breadth, making it a one-dimensional figure. A line is made up of a collection of points that may be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it.
What is slope of a line?A line's steepness may be determined by looking at its slope. Slope is computed mathematically as "rise over run" (change in y divided by change in x).
The value of K for a given line is equal to the slope of the line. Since lines are generally expressed in the form of y = mx +b , where m is the slope of the line and b is the y-intercept of the line. Here , the value of K will be equal to the slope m of the line.
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10. Edward wants to have $50,000 in 10 years for college. What single deposit would he need to make now into an account that pays 4.3% interest, compounded daily, to meet his goal ?
11. Rhett is about to begin college and has received a 10-year $7,500 Federal Direct Unsubsidized Loan with an interest rate of 6.4%. He will be required to begin making payments six months after graduation. If Rhett decides to capitalize the interest accrued from the time he receives the funds until he begins making payment, how much total interest would he pay on this loan ?
12. Shania bought a $1,972 drum set on the installment plan. The installment agreement included a 20% down payment and 36 monthly payments of $52.04 each. What is the finance charge ?
Answers
a) With regard to Edward, single deposit would he need to make now into an account that pays 4.3% interest, compounded daily, to meet his goal is $32,526.67.
b) The total interest that he would pay on this loan is given as follows: $2,160.
c) The finance charge is $295.84
A) Let the Principle be P
amount here A= $50,000
time n= 10 years n= 10 x 36 5= 3650 days
rate of interest= 4.3% compounded daily= 4.3/365
let us use compound interest formula to calculate the principle
A = P (1 + (r/100)ⁿ
putting all the values we get
50000 = P (1 + (4.3/(100 x 365))⁽¹⁰ ˣ ³⁶⁵)
on solving we get P = $32,526.67
therefore he need to deposit $32,526.67
B)
The balance of an account after t years, using simple interest, that is, a single compounding per year, is given by the equation shown as follows:
A(t) = P(1 + rt).
In which the parameters of the equation are explained as follows:
P is the value of the initial deposit.
r is the interest rate, as a decimal.
Considering this equation, the interest accrued is given as follows:
I(t) = Prt.
In the context of this problem, the values of these parameters are given as follows:
P = 7500, r = 0.064, t = 4.5.
Hence the interest accrued on the payment is obtained as follows;
I(4.5) = 7500 x 0.064 x 4.5 = $2,160.
C)
We know that,
Finance charge = Total Amount Paid - Original cost
As the original cost of the drum is = $1972
She paid 20% as down payment. So the amount of down payment is,
1972 x 20/100 = $394.40
She has to pay 36 monthly payments of $52.04 each. So the amount to be paid is,
= 36 x 52.04 = $1873.44
So the total amount paid will be,
= $1873.44 + 394.40 = $2267.84
Therefore, the finance charge is 226.84 - 1972 = $295.84
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The farmer changed their mind and wants to make a square field that encloses exactly 2km2 of area. without a calculator, how would they compute the length of the required fence, to arbitrary precision?
Answers
The length of the required fence to make a square field that encloses = 5.66 km
For given question,
A farmer wants to make a square field that encloses exactly 2km² of area.
Let 'm' be the side length of the square field.
so, the area of the square field would be,
⇒ A = m²
⇒ 2 = m²
⇒ m = √2 km
We need to compute the length of the required fence.
The length of the required fence would be,
= perimeter of the square field
= 4 × m
= 4 × √2
= 5.66 km
Therefore, the length of the required fence to make a square field that encloses = 5.66 km
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Q А A of sc S 12 10 6 4 2. - 20-18-16-14-12-10 -8 6 4-2 -2 2 4 CO 8 10 12 14 16 18 20 R 26 S -8. -10 – 12 Quadrilateral PORS is transformed by translating it 6 units to the right and then rotating it 90° clockwise about the origin. Which coordinate pairs represent vertices of P'O'R'S' after these two transformations?
Answers
ANSWER
The pairs that represent vertices from these options are:
• (-7, -3)
• (7, -3)
,• (12, -10)
EXPLANATION
The rule for the translation 6 units right is:
\((x,y)\rightarrow(x+6,y)\)So after the translation the vertices are:
\(\begin{gathered} P(-3,7)\rightarrow(3,7) \\ Q(4,12)\rightarrow(10,12) \\ R(4,-2)\rightarrow(10,-2) \\ S(-3,-7)\rightarrow(3,-7) \end{gathered}\)Then, the rule for a 90º clockwise rotation about the origin is:
\((x,y)\rightarrow(y,-x)\)So, after the rotation, the vertices are:
\(\begin{gathered} (3,7)\rightarrow P^{\prime}(7,-3) \\ (10,12)\rightarrow Q^{\prime}(12,-10) \\ (10,-2)\rightarrow R^{\prime}(-2,-10) \\ (3,-7)\rightarrow S^{\prime}(-7,-3) \end{gathered}\)Ill give brainiest for this question :D
(its not multiple choice)
Answers
Answer:
see explanation
Step-by-step explanation:
Given
\(\frac{6c-2}{2}\) + 2c + 11
= \(\frac{6c}{2}\) - \(\frac{2}{2}\) + 2c + 11
= 3c - 1 + 2c + 11
= 5c + 10
(b)
We have the expression
5c + 10 ← factor out 5 from each term
= 5(c + 2)
The equation of a parabola is y=2x^2 +8x +3
Write the equation in vertex form and show your work.
Answers
Answer: y = 2(x + 2)² - 5
Step-by-step explanation:
We are going to use the completing the square method to transform this quadratic equation from standard form to vertex form.
Given:
y = 2x² + 8x + 3
Factor the 2 out of the first two terms:
y = 2(x² + 4x) + 3
Add and subtract \(\frac{b}{2} ^2\):
y = 2(x² + 4x + 4 - 4) + 3
Distribute the 2 into -4 and combine with the 3:
y = 2(x² + 4x + 4) - 5
Factor (x² + 4x + 4):
y = 2(x + 2)² - 5
What additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS? Check all that apply.
Answers
The additional information required to prove that ΔXYZ and ΔFEG are congruent is ∠Z ≅ ∠G and XZ ≅ FG or ∠Z ≅ ∠G and XY ≅ FE. So option 1 and 5 are correct.
Here in the figure it is given that ∠F and ∠X are congruent. To prove the triangle is congruent we have to prove that either two sides including the angles are congruent or another angle and included side is congruent.
When ∠Z ≅ ∠G and XZ ≅ FG, two angles and included sides are congruent, so triangles are congruent.
∠Z ≅ ∠G and ∠Y ≅ ∠E , we can not apply ASA, since three angles are mentioned
XZ ≅ FG and ZY ≅ GE , Two sides are given, ASA cannot be applied, we need two angles
XY ≅ EF and ZY ≅ FG, is not possible.
∠Z ≅ ∠G and XY ≅ FE, one corresponding side and two angles are equal, so ΔXYZ ≅ ΔFEG according to ASA.
So, the correct answer is option 1 and option 5.
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The complete question is as follows and image is given below
What additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS? Check all that apply.
∠Z ≅ ∠G and XZ ≅ FG
∠Z ≅ ∠G and ∠Y ≅ ∠E
XZ ≅ FG and ZY ≅ GE
XY ≅ EF and ZY ≅ FG
∠Z ≅ ∠G and XY ≅ FE
Answer:
1 and 5 are correct
Step-by-step explanation:
What would be the second step in solving the equation y−16=3y?
Divide both sides by 4
Divide both sides by 2
Divide both steps by -2
Divide both steps by -4
Answers
Answer:
Divide both sides by 4
Step-by-step explanation:
Please give brainliest
Answer:
divide both sides by 2
Step-by-step explanation:
becoz first step is move the numbers
pliz give a brainliest
parking survey: for a class assignment, a group of statistics students set up a table near the student parking lot. they asked students who passed by to complete a quick survey about whether they support the building of a multi-level parking structure that would add 425 new spaces at the college. they used the information from the survey to calculate the 95% confidence interval: (0.53, 0.72). to which population does the confidence interval apply?
Answers
As per the given situation, D. these apply only to the population of those students who drive to the college.
The study's 95% confidence interval only pertains to the group of students who drive to the institution and were present near the parking lot when the survey was conducted. Since the sample might not be entirely representative of the total population of interest, it may not necessarily apply to all students who drive to college.
The purpose of the poll was to learn whether or not college students supported the construction of a multi-level parking garage that would add 425 new spaces to the campus. The students also computed a 95% confidence interval based on the survey results to determine the range of expected values for the genuine proportion of students who favour the construction of the new parking structure.
Complete Question:
parking survey: for a class assignment, a group of statistics students set up a table near the student parking lot. they asked students who passed by to complete a quick survey about whether they support the building of a multi-level parking structure that would add 425 new spaces at the college. they used the information from the survey to calculate the 95% confidence interval: (0.53, 0.72). to which population does the confidence interval apply?
A. They apply to all students at the college.
B. They apply only to the population of those who use the student parking lot.
C. The results do not apply to any population because this was a convenience sample.
D. They apply only to the population of those students who drive to the college.
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Does 15 12/9 make a triangle?
Answers
Answer: No it doesnt
Step-by-step explanation:
12+9 = 21 which is greater than 15 meaning it cannot create a triangle
Mr. Felizardo went to Dunkin Donuts and bought himself and Ms. Heinricher each a coffee. He
also bought 3 donuts for Mr. Thomas which cost $1.25 each. The muffins cost $2.50 each
and only chocolate chip and blueberry were available. Mr. Felizardo spent $6.75 total,
without tax. How much was one coffee?
Answers
Answer:
1.50 dollars is how much the coffee would be
If z=2
3 (x-12) and x=39, then what is z?
Answers
Answer:
621
Step-by-step explanation:
23(39-12) > 23(27)
23(27)= 621
If researchers report that the results from their study were significant, p< .05, this means that:
A.) If they conducted the study over they would get the same results less than 5 times in 100.
B.) The results are untrustworthy
C.) We would expect the results to occur by chance less than 95 times out of 100
D.) We would expect the results to occur by chance less than 5 times out of 100.
Answers
If researchers report that the results from their study were significant, p < .05, this means that we would expect the results to occur by chance less than 5 times out of 100.
What does it indicate when researchers report results with p < .05?When researchers report that the results from their study were significant, p < .05, it means that we would expect the results to occur by chance less than 5 times out of 100. This threshold is commonly used in statistical hypothesis testing.
In statistical hypothesis testing, the p-value represents the probability of obtaining results as extreme as the observed results, assuming that the null hypothesis is true. If the p-value is less than the predetermined significance level of .05 (or 5%), it is considered statistically significant. This means that the observed results are unlikely to have occurred by chance alone, and there is evidence to support the alternative hypothesis.
Therefore, option D, "We would expect the results to occur by chance less than 5 times out of 100," is the correct interpretation of reporting significant results with p < .05.
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Which rule maps figure 1 onto figure 2
Answers
Answer:
Step-by-step explanation:
Michelle is taking a 50 question science test in which each question is worth 2 points each. If she must get at least a 92 on the test to make an A for the class, how many question must she get correct?”
Answers
Michelle's score is given by the following formula
\(S=2\cdot C\)where, S is her final score and C represent the number of correct answers.
Since she must get at least a 92, then S = 92
therefore,
\(\begin{gathered} 92=2\cdot C \\ C=\frac{92}{2} \\ C=46 \end{gathered}\)She must get at least 46 correct questions.
can someone help me?
(2x+8)-(2x+16)
Answers
Answer:
-8
Step-by-step explanation:
(2x+8)-(2x+16)
Distribute the minus sign
(2x+8)-2x-16
Combine like terms
2x-2x +8-16
0x -8
-8
Answer:
-8
Step-by-step explanation:
Ix runners are doing the 100 meter dash. the winner receives a blue ribbon and the second place runner gets a red ribbon. how many ways can the ribbons be awarded?
Answers
The number of ways the ribbons can be awarded in a race with "x" runners is x * (x-1).
The number of ways the ribbons can be awarded depends on the total number of runners participating in the 100-meter dash.
If there are "x" runners participating, the winner can be any one of the x runners, and the second-place runner can be any one of the remaining (x-1) runners.
Therefore, the number of ways the ribbons can be awarded is equal to the number of possible choices for the winner multiplied by the number of possible choices for the second-place runner.
Mathematically, this can be expressed as:
Number of Ways = x * (x-1)
For example, if there are 5 runners in the race, there are 5 ways to choose the winner. After selecting the winner, there are 4 remaining runners from which we can choose the second-place runner. So, in this case, the number of ways the ribbons can be awarded is:
Number of Ways = 5 * 4 = 20
In general, the number of ways the ribbons can be awarded in a race with "x" runners is x * (x-1).
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you get a zero on an assignment, how many 100 before getting to an A average
Answers
Answer:
XXX xxixbhxxhooh the I☺️☺️☺️☺️
Step-by-step explanation:
xxkxozozxoooyyppxoxoglhxlh b lb lkgxkxg♊☺️♊⚓⚾⚓⚾⚓⚾⚾⚓
Find the slope of the line graphed below.
Answers
Answer:
Step-by-step explanation:
Uh sorry but there is no picture here
Answer:
no graph is attached
Step-by-step explanation:
Which inequality is represented by the number line?
PICTURE ATTACHED PLEASE HELP ME!!!
Answers
Answer:
A i think
Step-by-step explanation:
cause its gonna be more than 6- so yeah if it is right then b
calculate the wavelength λ2 for visible light of frequency f2 = 6.35×1014 hz . express your answer in meters.
Answers
The wavelength λ2 for visible light with frequency f2 = 6.35×10^14 Hz is approximately 4.72 x 10^-7 meters.
We can use the formula relating frequency and wavelength of electromagnetic radiation to find the wavelength of the visible light with frequency f2:
λ = c / f
where λ is the wavelength, c is the speed of light in a vacuum (which is approximately 3.00 x 10^8 m/s), and f is the frequency.
Substituting the given frequency f2 = 6.35×10^14 Hz into this formula, we get:
λ2 = c / f2
= 3.00 x 10^8 m/s / (6.35 x 10^14 Hz)
≈ 4.72 x 10^-7 m
Therefore, the wavelength λ2 for visible light with frequency f2 = 6.35×10^14 Hz is approximately 4.72 x 10^-7 meters.
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establish the principle that the coefficient of correlation is invariant with respect to the change of scale and the change of origin.
Answers
The principle that the coefficient of correlation is invariant with respect to the change of scale and the change of origin is a fundamental concept in statistics. It states that the value of the correlation coefficient remains unchanged when the scale or origin of the data is transformed.
To understand this principle, let's first define what the coefficient of correlation is. The coefficient of correlation, often denoted as r, measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative linear relationship, 1 indicates a perfect positive linear relationship, and 0 indicates no linear relationship.
The correlation coefficient between X' and Y will be the same as the correlation coefficient between X and Y. This is because scaling both variables by the same factor does not alter their relative positions or the strength of their linear relationship.
Similarly, if we apply a change of origin to either variable by adding or subtracting a constant value from each data point, it also does not affect the correlation between X and Y. The correlation coefficient remains unchanged.
The correlation coefficient between X' and Y will be the same as the correlation coefficient between X and Y. This is because shifting both variables by the same constant does not change their relative positions or the strength of their linear relationship.
The principle that the coefficient of correlation is invariant with respect to the change of scale and the change of origin holds true because correlation measures the linear relationship between variables rather than their absolute values or positions. It focuses on the pattern of association between variables rather than their specific numerical values.
In conclusion, scaling or shifting the variables by a constant factor or value does not alter their linear relationship. This principle is fundamental in statistical analysis and allows for meaningful comparisons and interpretations of correlation coefficients.
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