If the coordinates of one endpoint of a
line segment are (2, 3) and the midpoint
of the segment is (5,3), what are the
coordinates of the other endpoint of the
segment?
Answers
Answer: (8,3)
Step-by-step explanation:
The distance from (2,3) to (5,3) is 3. The only other point that is 3 units away from (5,3) where y=3 is (8,3).
Related Questions
Graphic DesignWorks ships the T-shirts it makes in boxes that measure 24 in
x 18 in x 16 in. The company rents a storage space that measures 400 ft x
240 ft x 60 ft. What is the best estimate of the number of boxes Graphic
DesignWorks is able to store?
A. 576,000 boxes
B. 1,440,000 boxes
C. 6912 boxes
D. 972,000 boxes
Answers
Answer:The answer is c
Step-by-step explanation:
The best estimate of the number of boxes Graphic DesignWorks is able to store is 1440000 boxes.
What is volume?
Volume is the three-dimensional space enclosed by a three-dimensional object.
We have to find the volume of the box and the volume of the storage space.
The volume of the box:Volume = length × breadth × height
= 24 × 18× 16 in³
=6912 in³
The volume of the storage space:Volume = length × breadth × height
= 400 × 240 × 60 ft³
= 5760000 ft³
We have to convert this into inches. We know that 1 foot = 12 inches.Therefore, 5760000 ft³ = 5760000 × (12)³ in³
We have to divide the volume of the storage space by the volume of the box to find the number of boxes that it can fit:Number of boxes that can fit inside the storage space = (5760000 × (12)³ in³)/6912 in³
= 1440000 boxes.
Thus, the best estimate of the number of boxes Graphic DesignWorks is able to store is 1440000 boxes. The correct answer is option B.
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Mrs. Kreger created the expression
4(h+ 11) - 15 to estimate the number of hours, h, her students need to study each week to earn a certain grade average. According to the expression, how many hours per week does Lindsey need to study if she wants to have an average of at least 90
Answers
Functions are used to show relationship between variables using equations. The number of hours the students need to study to score at least 90 is 15.25 hours
Given
\(f(h) = 4(h + 11) -15\)
To calculate h, when the expression is 90.
We have:
\(4(h + 11) -15 = 90\)
Add 15 to both sides
\(4(h + 11) = 90 + 15\)
\(4(h + 11) = 105\)
Divide both sides by 4
\(h + 11 = 26.25\)
Subtract 11 from both sides
\(h = 26.25-11\)
\(h = 15.25\)
Hence, the students need to study for at least 15.25 hours to have at least 90 marks.
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look at attachment!!!!
Answers
Answer:
x = 5
Step-by-step explanation:
We know that BD = 2x - 1 and BC + CD = BD. Thus, we can set the sum of (x- 3) and 7 equal to 2x - 1 to find x:
BC + CD = BD
x - 3 + 7 = 2x - 1
x + 4 = 2x - 1
x + 5 = 2x
5 = x
Thus, x = 5
Checking the validity of our answer:
We can check that our answer is correct by plugging in 5 for x in x - 3 and 2x - 1 and checking that we get the same answer on both sides of the equation:
5 - 3 + 7 = 2(5) - 1
2 + 7 = 10 - 1
9 = 9
Thus, our answer is correct.
Suppose you are going to roll a fair; six-sided die J number of times and record the proportion of times that an even number (2. 4.or 6) is showing: Your first experiment used 60 rolls. but in your second experiment you used 240 rolls. For the second experiment, how is the center and spread of the sampling distribution different from the first experiment? Bolh the center and !he sprcad wIll decrease: Thc cenler will remain lhc sainc: bul thc sprcad will decrease Bolh the cenler and the spread wlll renain thic: salne The cenler will remain the >alne; bul tlic sprcad wvill lncicase:
Answers
From the sampling distribution, the correct answer is: Both the center will remain the same, but the spread will decrease.
How is the center and spread of the sampling distribution different from the first experimentThe center of the sampling distribution will remain the same, which is the expected proportion of even numbers showing on a single roll of the die, which is 1/2 or 0.5. This is because the probability of getting an even number on a single roll of the die does not change with the number of rolls in the experiment.
However, the spread of the sampling distribution will decrease as the number of rolls increases. This is because the larger the sample size, the more precise our estimate of the proportion of even numbers showing on each roll of the die will be. With more rolls, we will have a better idea of the true proportion of even numbers that the die produces.
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2) Sarah had fifty-eight files on her computer. She
deleted thirty-one of them and put the rest into
folders with nine files in each one. How many folders
did Sarah end up with?
Answers
Answer:
I got 3 if it's correct I hope this helped
Step-by-step explanation:
58 - 31 = 27
27 divided by 9 = 3
that's how I got my answer!
priya and han each wrote an equation of a line with slope 1/3 that passes through the point (1,2). priyas equation is y - 2 = 1/3 (x-1) and hans equation is 3y-x=5. do you agree with either of them? explain or show your reasoning
Answers
I agree with both Priya's and Han's equations.
To determine if either Priya or Han equation is correct, we can substitute the coordinates of the given point (1,2) into each equation and check if the equation holds true.
For Priya's equation, y - 2 = (1/3)(x - 1), substituting x = 1 and y = 2:
2 - 2 = (1/3)(1 - 1)
0 = 0
The equation holds true, so Priya's equation is correct.
For Han's equation, 3y - x = 5, substituting x = 1 and y = 2:
3(2) - 1 = 5
6 - 1 = 5
5 = 5
The equation also holds true, so Han's equation is correct.
Both Priya's and Han's equations are valid equations of the line with a slope of 1/3 passing through the point (1,2). The equations have different forms, but they are algebraically equivalent and represent the same line. Therefore, I agree with both Priya's and Han's equations.
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How many steps are in the business operating cycle?
A.Eighteen
B.Twelve
C.Nine
D.Five
Answers
I think its C:nine
Step-by-step explanation:
Solve your answers using inequalities using a number line strategy or a factor table strategy. Express your answers using set notation. a) (x+3)^2 (x+1)(x-1) > 0b) (x+1)(x+3) ≥ 0
Answers
\(S=\lbrace x\parallel x<-1orx>1\rbrace\)
Explanation
\((x+3)^2(x+1)(x-1)>0\)
Step 1
solve for each factor:
set each factor equal to zero
\(\begin{gathered} (x+3)^2=0 \\ x=-3 \end{gathered}\)\(\begin{gathered} x+1=0 \\ x=-1 \end{gathered}\)\(\begin{gathered} x-1=0 \\ x=1 \end{gathered}\)so, we have 3 critical numbers
-3,-1 and 1
Step 2
now, let's make a table to evaluate each interval , (select a number from the interval)
\(\begin{gathered} a)(x+3)^2 \\ \text{for x=-5} \\ (x+3)^2=(-5+3)^2=4 \\ so\text{ }\Rightarrow positive \\ \text{for x= -2} \\ (x+3)^2=5^2=25\Rightarrow positive \\ \text{for x= 0} \\ (0+3)^2=9\Rightarrow positive \\ for\text{ x= 2} \\ (2+3)^2=(2+3)^2=25\Rightarrow positive \end{gathered}\)b) (x+1)
\(\begin{gathered} x+1 \\ \text{for x=-4} \\ -4+1=-3\Rightarrow negative \\ \text{for x=-2} \\ -2+1=-1\Rightarrow negative \\ \text{for x=0} \\ 0+1=1\Rightarrow positive \\ \text{for x= 2} \\ 2+1=3\Rightarrow positive \end{gathered}\)c)(x-1)
\(\begin{gathered} x-1 \\ \text{for x=-4} \\ -4-1=-\Rightarrow negative \\ \text{for x=-2} \\ -2-1=-3\Rightarrow negative \\ \text{for x=0} \\ 0-1=-1\Rightarrow\text{negative} \\ \text{for x= 2} \\ 2-1=1\Rightarrow positive \end{gathered}\)
Step 3
now, make th multiplication of the signs ( check the table in step 2)
so, we got
(-infi, -1) U (1, inf)
as we need that the product of the factors is greater than zero ( positive) , the solution is( set notation)
\(S=\lbrace x\parallel x<-1orx>1\rbrace\)I hope this helps you
Find the area of the shaded regions.
Answers
Answer:
\(A = A_c-A_t=4\pi -8=4.5664cm^2\)
Step-by-step explanation:
The area of the shaded region can be calculated as the area of the semicircle less the area of the right triangle.
The area of the right triangle can be calculated as:
\(A_t=\frac{b*h}{2} =\frac{LM*MN}{2}\)
Where LM and MN have the same length because the internal angles are L=45°, M=90°, and N=45°. So the area is:
\(A_t=\frac{4*4}{2}=8\)
The diameter of the circle can be calculated using the Pythagorean theorem as:
\(D=\sqrt{(LM)^2+(MN)^2} =\sqrt{4^2+4^4}=4\sqrt{2}\)
So, the radius is \(r=2\sqrt{2}\)
Finally, the area of the semicircle is:
\(A_c=\frac{\pi*r^2 }{2}=\frac{\pi*(2\sqrt{2})^2 }{2}=4\pi\)
So, the area of the shaded region is:
\(A = A_c-A_t=4\pi -8=4.5664cm^2\)
ssume all information in example 1 above and the following additional information: Actual data for job 201 is give is given belowActual shirts completed for job 201………………2,000 shirtsActual direct material cost used………………...$30,000Actual direct cost incurred……………………...$20,000Actual direct labor hours used…………………. 400 hoursActual machine hours…………………………. 240 hoursInstruction: compute the applied factory overhead and determine the total cost of job 201 under each of the five bases. A) Physical output as allocation baseDirect materials cost as allocation base Direct labor cost as allocation base Direct labor hours as allocation baseMachine hours as allocation base
Answers
The applied overhead cost for job 201 is $36,000 and total cost for job 201 under direct materials cost as allocation base is $86,000.
Allocation base is a technique utilized in accounting to designate the cost of something to its use or product to recognize the price of the finished product.
Example provides the total overhead cost at $120,000 for the period, the base data of $100,000 direct material cost and 500 direct labor hours. The base data are used to calculate the predetermined factory overhead rate, which is used to apply overhead costs to work in progress.
The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the base data. The predetermined factory overhead rate is multiplied by the actual activity in the allocation base to obtain the applied overhead cost.
Direct materials cost as allocation base $30,000 is the actual direct material cost used in job 201. The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct material cost, which is $120,000/$100,000=120%.
The applied overhead cost for job 201 is $30,000*120% = $36,000.
Total cost for job 201 under direct materials cost as allocation base is $30,000+$20,000+$36,000 = $86,000.
-Direct labor cost as allocation base:
The actual direct labor cost used in job 201 is $20,000. The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct labor cost, which is $120,000/$100,000=120%.
The applied overhead cost for job 201 is $20,000*120% = $24,000.
Total cost for job 201 under direct labor cost as allocation base is $30,000+$20,000+$24,000 = $74,000.
-Direct labor hours as allocation base:
The actual direct labor hours used in job 201 is 400 hours.
The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct labor hours, which is $120,000/500 hours = $240 per hour.The applied overhead cost for job 201 is $240*400 hours = $96,000.
Total cost for job 201 under direct labor hours as allocation base is $30,000+$20,000+$96,000 = $146,000.
-Physical output as allocation base: The actual output in units completed for job 201 is 2,000 shirts.
The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the output in units, which is $120,000/10,000 units = $12 per unit.
The applied overhead cost for job 201 is $12*2,000 units = $24,000.Total cost for job 201 under physical output as allocation base is $30,000+$20,000+$24,000 = $74,000.
-Machine hours as allocation base: The actual machine hours used in job 201 is 240 hours.
The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the machine hours, which is $120,000/5,000 hours = $24 per hour.
The applied overhead cost for job 201 is $24*240 hours = $5,760.
Total cost for job 201 under machine hours as allocation base is $30,000+$20,000+$5,760 = $55,760.
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Correct answer please
Answers
Answer:
50.75
Step-by-step explanation:
We have:
\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)
\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)
What are the solutions to x2 + 8x + 7 = 0?
O x= -8 and x= -7
x= -7 and x= -1
оооо
x = 1 and x = 7
O x= 7 and x = 8
Answers
Answer:
x= -1 and x= -7
hope it helps.
I need answer tho this please help me
Answers
Answer:
there is two diagram 2,3, 4 and 5 this is the answer give
n Studies / 22FYF013/ Chapter 2: Statistics STACK statistics pr
The numbers of days work missed by 20 workers in one year (ordered by size) we
[0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 4, 4, 4, 4, 4, 5, 6, 6, 8, 55]
Calculate the mean and median. Enter your answers to 1 d.p.
Mean =
Median =
Please answer all parts of the question
Answers
The mean and median of the given data set are 5.55 and 4.
What are the mean and median?A data set's mean (average) is calculated by adding all of the numbers in the set, then dividing by the total number of values in the set. When a data set is ranked from least to greatest, the median is the midpoint. Identifying the median The data points should be arranged from smallest to largest. The median is the middle data point in the list if the number of data points is odd. The median is the average of the two middle data points in the list if the number of data points is even.So, the data is:
[0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 4, 4, 4, 4, 4, 5, 6, 6, 8, 55](A) Mean of data:
Sum of all terms/number of terms111/205.55(B) Median of data:
The data set has even terms.Average of two middle terms:4 + 4 / 28/24Therefore, the mean and median of the given data set are 5.55 and 4.
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Keller Construction is considering two new investments. Project E calls for the purchase of earthmoving equipment. Project H represents an investment in a hydraulic lift. Keller wishes to use a net present value profile in comparing the projects. The investment and cash flow patterns are as follows: Use Appendix B for an approximate answer but calculate your final answer using the formula and financial calculator methods.
Answers
Based on the net present value profile, Project H has a higher NPV than Project E.
To compare the net present value (NPV) of Project E and Project H, we need to calculate the present value of cash flows for each project and determine which one has a higher NPV. The cash flow patterns for the two projects are as follows:
Project E:
Initial investment: -$100,000
Cash flows for Year 1: $40,000
Cash flows for Year 2: $50,000
Cash flows for Year 3: $60,000
Project H:
Initial investment: -$120,000
Cash flows for Year 1: $60,000
Cash flows for Year 2: $50,000
Cash flows for Year 3: $40,000
To calculate the present value of cash flows, we need to discount them using an appropriate discount rate. The discount rate represents the required rate of return or the cost of capital for the company. Let's assume a discount rate of 10%.
Using the formula method, we can calculate the present value (PV) of each cash flow and sum them up to obtain the NPV for each project:
For Project E:
PV = $40,000/(1 + 0.10)^1 + $50,000/(1 + 0.10)^2 + $60,000/(1 + 0.10)^3
PV = $36,363.64 + $41,322.31 + $45,454.55
PV = $123,140.50
For Project H:
PV = $60,000/(1 + 0.10)^1 + $50,000/(1 + 0.10)^2 + $40,000/(1 + 0.10)^3
PV = $54,545.45 + $41,322.31 + $30,251.14
PV = $126,118.90
Using the financial calculator method, we can input the cash flows and the discount rate to calculate the NPV directly. By entering the cash flows for each project and the discount rate of 10%, we find that the NPV for Project E is approximately $123,140.50 and the NPV for Project H is approximately $126,118.90.
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I will give you 20 points of you answer this
Answers
Answer:
Median: 1, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 5, 5, 6 : 4
Mean: 3.42 (3.42857142857)
Mean would change
FIRST OPTION
1. Jack and Jill both begin working new jobs for the summer. Jack is offered $18 per hour and will also be given $699 up front for accepting the job. Jill is offered $20 per hour for her work, with no up front bonus. After how many hours of work will Jack and Jill have earned the same (or equal) amount of money?
Answers
Answer:
BRuh
Step-by-step explanation:
Girl my math skills are no where near subpar to that. Good luck!
Answer:
I think the answer is 35 hours to get the same amount of money
1
4
(
8
−
6
x
+
12
)
?
1
4
(
8
−
6
x
+
12
)
?
A.
7
2
x
7
2
x
B.
−
13
2
x
−
13
2
x
C.
−
6
x
+
14
−
6
x
+
14
D.
−
3
2
x
+
5
Answers
The equivalent expression is 5 - 3x/2. Option D
What are algebraic expressions?Algebraic expressions are described as expressions that are made up of variables, their coefficients, factors and constants.
these algebraic expressions are also composed of mathematical operations. These operations includes;
BracketParenthesesSubtractionMultiplicationDivisionAdditionFrom the information given, we have that;
1/ 4(8 - 6x + 12)
expand the bracket, we have;
Add the like terms
1/4(20 - 6x)
now, multiply the values, we have;
20 - 6x/4
Divide by the denominator
5 - 3x/2
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The complete question:
Simply the expression:
1/ 4(8 - 6x + 12)
PLEASE ANSWER NUMBER 2
Answers
Since 2 is further left on a number line than 5,2 -5
Answers
Answer:
lower right
Step-by-step explanation:
The graph shows the distribution of the number of text messages young adults send per day.
A graph titled daily text messaging has number of text on the x-axis, going from 8 to 248 in increments of 30. Data is distributed normally. The highest point of the curve is at 128.
Which statement describes the distribution?
A) The distribution is approximately Normal, with a mean of 128 messages and a standard deviation of 98 messages.
B) The distribution is approximately Normal, with a mean of 128 messages and a standard deviation of 30 messages.
C) The distribution is approximately Normal, with a mean of 30 messages and a standard deviation of 128 messages.
D) The distribution is uniform, with a mean of 128 messages and a standard deviation of 30 messages.
Answers
The statement that describes the distribution based on the given information is:
A) The distribution is approximately Normal, with a mean of 128 messages and a standard deviation of 98 messages.
The statement that describes the distribution based on the given informationThe graph shows a normal distribution, as indicated by the shape of the curve. The highest point of the curve (the peak) is at 128, which represents the mean of the distribution.
The standard deviation measures the spread of the data, and based on the information given, it is 98. Therefore, option A accurately describes the distribution.
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solve for x ~
\(4x - 7 = 5\)
thankyou ~
Answers
We have that the value of x is mathematically given as
x=3
ArithmeticQuestion Parameters:
4x-7=5
Generally the equation for the Question is mathematically given as
4x-7=5
Therefore
\(x=\frac{5+7}{4}\)
x=3
Therefore
Value of x is
x=3
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What is 3x450+650?
answer
Answers
Answer:
2000
Step-by-step explanation:
3x450=1350
1350+650=2000
=2000
Answer:
BODMAS
3 x 450 = 1350
1350 + 650 = 2000
Identify the next number in the following sequence
25 49 97 ?
Select only one answer
- 124
- 171
- 139
- 193
Answers
Answer:
the correct answer is 193
Step-by-step explanation:
25×1-0=25
25×2-1=49
49×2-1=97
97×2-1=193
Which is true?
A 159. 399 > 159. 410
B 11. 0 = 11. 000
C 5. 9 < 5. 899
D 1. 4036 > 1. 7001
Answers
Answer:
b
Step-by-step explanation:
159.410 is greater than 159.399 with 0.011
11.0 is the same as 11.000
and so on
Jacob's lock combination is a 3 digit number. If the digits cannot repeat, the product of the digits is 84, and the digits are increasing from left to right, how many combinations can Jacob have?
Answers
There are 5 possible combinations for Jacob's lock combination with increasing digits from left to right, and the product of the digits being 84.
What is multiplication ?Multiplication is a mathematical operation that involves combining two or more quantities to find their total or product. It is often represented by the "x" symbol or the multiplication sign "⋅". Multiplication is a fundamental operation in arithmetic and is used to calculate the total or result of repeated addition or groups of equal quantities.
According to the given information:The product of the digits being 84 implies that the possible combinations of digits are limited to those whose product is 84. The prime factorization of 84 is 2^2 * 3 * 7. Since the digits must be increasing from left to right and cannot repeat, the possible combinations of digits are:
1, 2, 42
1, 3, 28
1, 4, 21
2, 3, 14
2, 6, 7
So, there are 5 possible combinations for Jacob's lock combination.
Therefore, There are 5 possible combinations for Jacob's lock combination with increasing digits from left to right, and the product of the digits being 84.
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FIND THE EQUATION OF THE LINE.
I NEED ANSWER WITH STEP BY STEP PLEASE
Answers
Given:
The graph of a line.
To find:
The equation for the given line.
Solution:
From the given graph, it is clear that the line passes through the points (0,-5) and (5,0). So, the equation of the line is:
\(y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\)
\(y-(-5)=\dfrac{0-(-5)}{5-0}(x-0)\)
\(y+5=\dfrac{5}{5}(x)\)
\(y+5=x\)
Subtract 5 from both sides.
\(y+5-5=x-5\)
\(y=x-5\)
Therefore, the equation of the given line is \(y=x-5\).
HELP ME PLEASE ITS IMPORTANT!!!
Answers
Answer:29
Step-by-step explanation:
step 1: \(a^{2}\)+\(b^{2}\)=\(c^{2}\)
= \(21^{2}\)+\(20^{2}\)=841
step 2: \(\sqrt{841\)=29
Step-by-step explanation:
Since both are right triangles, we can use Pythagoras
\( {a}^{2} + {b}^{2} = {c}^{2} \)
For the first one:
\( {3}^{2} + {10}^{2} = {c}^{2} \)
\(9 + 100 = \sqrt{109 } = 10.4\)
For the second one:
\( {20}^{2} + {21}^{2} = {c}^{2} \)
\(400 + 441 = \sqrt{841} = 29\)
To avoid dehydration, a person should drink 8 ounces of water for every 15 minutes of exercise. How much water should Hahn drink if he bikes for 135 minutes? You MUST show the proportion and your work.
Answers
Answer:
72
Step-by-step explanation:
1. Proportion:
8/15=x/135
2. Answer is 72
What is the sin B?
/21
B
5
2
sin (B) =
[?]
![What is the sin B?/21B52sin (B) =[?]](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/bJqEBQdNtkeNzRPqszdQkxPqXUYlMPak.png)
Answers
Answer:
Step-by-step explanation:
sin (B) = \(\frac{2}{5}\)