Step-by-step explanation:
5(m – 8) - 4(m – 7)
5m-40-4m+28
m -12
Answer:
5(m - 8) - 4(m - 7)
= 5m - 40 - 4m +28
= m - 12
m = 12
hope it helps
Find the equation of the line that is perpendicular to the x-axis and passes through the point (-10,-1). Give the full equation as your answer. The equation is _______________
Answer:
x = -10
Step-by-step explanation:
First, determine the slope of the answer. The x-axis is a horizontal line, thus the new line must be vertical. All vertical lines are represented by the equation x = a number. That number represents the x-value of all the points the vertical line passes through.
So, since the line passes through (-10, -1), take the x-value of that point and put it into that equation. Thus, x = -10.
Sooooooooo......... I need help
In right angle ABC, a = 12, b = 9, and c = 15. Find tan ∠B
Senor Ogar is planting a garden in the corner of his yard before he does any planting however he wants to make a scale drawing showing where each vegetable and fruit go so far he has drawn the perimeter of his garden the actual length of the vertical and horizontal legs of his triangular Garden is 3M after making his drawing he decides that his Gail is way too small instead he wants the vertical and horizontal legs of the triangle on his drawing to be 18 cm make a new scale drawing with new dimensions of the scale drawing make sure to label all three sides of the garden and include the new scale
I NEED HELP ASAP I WILL MARK YOU BRAINLIEST
What is the definition of Linear Angle?
A pair of angles that lie on the same plane, have a common vertex, and share a common side
or
A pair of angles that have a common side and same vertex, and the sides points in opposite directions.
or
A pair of angles that are opposite of each other and formed by two intersecting lines.
Answer:
The angles are said to be linear if they are adjacent to each other after the intersection of the two lines. The sum of angles of a linear pair is always equal to 180°. Such angles are also known as supplementary angles. The adjacent angles are the angles which have a common vertex.
10
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x+3
4
7a) Enter ONLY the numerical value of your answer below. If there are more than
one value for x, enter another value under 7b below."
Your answer
7b) If there are more value for x, enter another value for x below. Click next to
skip this part if there's no other value for x.
martemat 20 e7 72gsys y3823 485 u
Area of an square is 144^2 how big is the circumstance of the square
Answer:
576
Step-by-step explanation:
That's your answer.
A warehouse has 1,750 boxes of water bottles. A truck unloaded another 530 boxes at the warehouse. Each box holds 48 bottles of water. How many bottles of water are in the warehouse?
Answer:
109440
Step-by-step explanation:
1750 boxes of water bottles with 48 bottles of water each: 1750 x 48 = 84000
plus the other 530 boxes at the warehouse which alone are: 530 x 48 = 25440
adding up 84000 + 25440 = 109440
The total number of bottles of water in the warehouse will be 27,190.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
A warehouse has 1,750 boxes of water bottles.
A truck unloaded another 530 boxes at the warehouse.
Each box holds 48 bottles of water.
Then the number of bottles that were unloaded by truck will be
⇒ 530 x 48
⇒ 25,440
Then the total number of bottles of water in the warehouse will be
⇒ 25,440 + 1,750
⇒ 27,190
The total number of bottles of water in the warehouse will be 27,190.
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The cost of attending your college has once again gone up. Although you have been told that education is investment in human capital, which carries a return of roughly 10% a year, you (and your parents) are not pleased. One of the administrators at your university/college does not make the situation better by telling you that you pay more because the reputation of your institution is better than that of others. To investigate this hypothesis, you collect data randomly for 100 national universities and liberal arts colleges from the 2000-2001 S. News and World Report annual rankings. Next you perform the following regression.
cost 7,311.173,985.20 . Reputation - 0.20 Size +8,406.79. Dpriv
(0.13 2,058.63 (664.58) - 416.38 Dibart - 2,376.51 Dreli ion (2,154.35) (1,121.92) 1,007.56) R' = 0.72 SER 3, 773.35
where Cost is Tuition, Fees, Room and Board in dollars, Reputation is the index used in U.S. News and World Report (based on a survey of university presidents and chief academic officers), which ranges from 1 ("marginal) to 5 ("distinguished"), Size is the number of undergraduate students, and Dpriv, Dlibart, and Dreligion are binary variables indicating whether the institution is private, a liberal arts college, and has a religious affiliation. The numbers in parentheses are heteroskedasticity-robust standard errors
(a) Interpret the results and determine whether or not the coefficients are significantly dif- ferent fromzero. Do the coefficients have the expected sign?
(b) What is the forecasted cost for a liberal arts college, which has no religious affiliation, a size of 1,500 students and a reputation level of 4.5? (All liberal arts colleges are private.)
(c) Suppose that you switch from a private university to a public university, which has a ranking tha's 0.5 lower and 10,000 more students. What is the effect on your cost?
(d) What is the p-value for the null hypothesis that the coefficient on Size is equal to zero? Based on this, should you eliminate the variable from the regression? Why or why not?
(e) You want to test simultaneously the hypotheses ha and bert - 0. Your regression package returns an F-statistic of 1.23. Can you reject the null hypothesis?
(f) Eliminating the Size and Dlibartvariables from your regression, the estimated regression becomes 5,450.35+3,538.84 .
Reputation 1,772.35 (590.49) cost 10,935-70.Dpriv-2, 783.31-Dreligion 575.51) (1,150.57) R20.72 SER- 3,792.68 Why do you think that the effect of attending a private institution has increased now?
Answer:
a) Interpret the results and determine whether or not the coefficients are significantly dif- ferent fromzero. Do the coefficients have the expected sign?
An increase in reputation by one category, increases the cost by
roughly $3,985. The larger the size of the college/university, the
lower the cost. An increase of 10,000 students results in a $2,000
lower cost. Private schools charge roughly $8,406 more than public
schools. A school with a religious affiliation is approximately $2,376
cheaper, presumably due to subsidies, and a liberal arts college also
charges roughly $416 less. There are no observations close to the
origin, so there is no direct interpretation of the intercept. Other than
perhaps the coefficient on liberal arts colleges, all coefficients have
the expected sign.
(b) What is the forecasted cost for a liberal arts college, which has no religious affiliation, a size of 1,500 students and a reputation level of 4.5? (All liberal arts colleges are private.)
7,311.17 + 3,985.20×4.5 – 0.20×1500
+ 8,406.79×1 – 416.38×1 – 2,376.51×0=$ 32,935
(c) Suppose that you switch from a private university to a public university, which has a ranking tha's 0.5 lower and 10,000 more students. What is the effect on your cost?
Roughly $ 12,400. Since over the four years of education, this
implies approximately $50,000, it is a substantial amount of money
for the average household.
(d) What is the p-value for the null hypothesis that the coefficient on Size is equal to zero? Based on this, should you eliminate the variable from the regression? Why or why not?
Using a one-sided alternative hypothesis, the p-value is 6.2 percent. Variables should not be eliminated simply on grounds of a statistical test. The sign of the coefficient is as expected, and its magnitude makes it important. It is best to leave the variable in the regression and let the reader decide whether or not this is convincing evidence that the size of the university matters
(e) You want to test simultaneously the hypotheses ha and bert - 0. Your regression package returns an F-statistic of 1.23. Can you reject the null hypothesis?
The critical value for F2,∞ is 3.00 (5% level) and 4.61 (1% level). Hence you cannot reject the null hypothesis in this case
(f) Eliminating the Size and Dlibartvariables from your regression, the estimated regression becomes 5,450.35+3,538.84 .
Reputation 1,772.35 (590.49) cost 10,935-70.Dpriv-2, 783.31-Dreligion 575.51) (1,150.57) R20.72 SER- 3,792.68 Why do you think that the effect of attending a private institution has increased now?
Step-by-step explanation:
a.An increase in reputation by one category, increases the cost by
roughly $3,985. The larger the size of the college/university, the
lower the cost. An increase of 10,000 students results in a $2,000
lower cost. Private schools charge roughly $8,406 more than public
schools. A school with a religious affiliation is approximately $2,376
cheaper, presumably due to subsidies, and a liberal arts college also
charges roughly $416 less. There are no observations close to the
origin, so there is no direct interpretation of the intercept. Other than
perhaps the coefficient on liberal arts colleges, all coefficients have
the expected sign.
b.7,311.17 + 3,985.20×4.5 – 0.20×1500
+ 8,406.79×1 – 416.38×1 – 2,376.51×0=$ 32,935
c.Roughly $ 12,400. Since over the four years of education, this
implies approximately $50,000, it is a substantial amount of money
for the average household.
d.Using a one-sided alternative hypothesis, the p-value is 6.2 percent. Variables should not be eliminated simply on grounds of a statistical test. The sign of the coefficient is as expected, and its magnitude makes it important. It is best to leave the variable in the regression and let the reader decide whether or not this is convincing evidence that the size of the university matters
e.The critical value for F2,∞ is 3.00 (5% level) and 4.61 (1% level). Hence you cannot reject the null hypothesis in this case
PLZ HELY ILL MARK BRANILEST
Answer:
518
Step-by-step explanation:
14 x 74 = 1036 1036 / 2 = 518
( really need brainliest , hope it helps )
( first )
An equation was created for the line of best fit from actual enrollment data. It was used to predict the dance studio enrollment values shown in the table below:
Enrollment
Month
January
February
March
April
May
June
Actual
500
400
550
550
750
400
Predicted
410
450
650
650
600
450
Residual
90
−50
−100
−100
150
−50
Analyze the data. Determine whether the equation that produced the predicted values represents a good line of best fit. (1 point)
Select one:
a. No, the equation is not a good fit because the sum of the residuals is a large number.
b. No, the equation is not a good fit because the residuals are all far from zero.
c. Yes, the equation is a good fit because the residuals are not all far from zero.
d. Yes, the equation is a good fit because the sum of the residuals is a small number.
The inference from the information is A. No, the equation is not a good fit because the sum of the residuals is a large number.
What is a line of best fit?It should be noted that line of best fit simply means a line through a scatter plot of data points which shows the relationship between the points.
In this case, the inference from the information is that the equation is not a good fit because the sum of the residuals is a large number.
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Three sets of data are given below. What is the
median of the ranges?
Data A: -3,2,-5,6,8
Data B: 4,9,6,2
Data C: 8,3,0,4
A) 2
B) 5
C) 7
D) 8
how many inches is 2 1/6 ft
Answer:
26 inches
Step-by-step explanation:
You find out that 1 foot equals 12 inches
times 2 by 12 equaling 24
24 added by 2 is 26
1/6 as a decimal is 1.83 infinitive 3 which is rounded to 2 as the whole number
makes your answer 26 inches
Hope that helps
A lumber mill needs one more tree cut down that is at least 29 feet long. The person cutting down the tree is 6 feet 2 inches tall. Using shadows to determine whether a tree is tall enough, the person stands next to the tree and measures the length of his shadow as 32 inches. What is the length (to the nearest tenth of a foot) of the tree’s shadow that will allow the tree to be cut down?
Answer:
create a proportion 72/348 = 32/x
Step-by-step explanation:
x = 1682
1682 ÷ 12 = 140.1
The length of the tree’s shadow that will allow the tree to be cut down will be 150.5 inches.
What are ratio and proportion?
A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.
A lumber mill needs one more tree cut down that is at least 29 feet long. The person cutting down the tree is 6 feet 2 inches tall.
29 feet = 348 inches
6 feet 2 inches = 74 inches
Using shadows to determine whether a tree is tall enough, the person stands next to the tree and measures the length of his shadow as 32 inches.
Then the length of the tree’s shadow that will allow the tree to be cut down will be
Let x be the tree’s shadow. Then we have
x / 348 = 32 / 74
x = 150.486
x ≅ 150.5 inches
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Pls pls help with this math
Answer:
7, -1
Step-by-step explanation:
x^2 - 6x + 7 = 0
(x - 7)(x + 1) = 0
==> x = 7, x = -1
Answer:
The answer would be 7,-1
In the triangle below, which equation can be used to solve for x?
Answer:
triangle VUW
angle V=75 degrees
angle U= 50 degrees
side VU= 13 ft
Step-by-step explanation:
The school that Kathryn goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 1 adult ticket and 8 student tickets for a total of $56. The school took in $14 on the second day by selling 1 adult ticket and 1 student ticket. What is the price of each of on adult ticket and one student ticket
Answer:
Step-by-step explanation:
a+s=14
a=14-s
a+8s=56, using a from above in this equation gives
14-s+8s=56
14+7s=56
7s=42
s=6
a=14-s
a=14-6=8
So student tickets cost $6 and adult tickets cost $8.
I'm doing an area of the triangle can you help me
Answer:
72cm
Step-by-step explanation:
Area = b times h / 2
so 12 times 12 /2
144 / 2
72
A quadrilateral ABCD has the given angle measures. Select all measurements which
could come from a cyclic quadrilateral.
A:
angle A is 90°, angle B is 90°, angle C is 90°, and angle D is 90°
B:
angle A is 80°, angle B is 80°, angle C is 100°, and angle C is 100°
C:
angle A is 70°, angle B is 110°, angle C is 70°, and angle D is 110°
D:
angle A is 60°, angle B is 50°, angleC is 120°, and angle D is 130°
E:
angle A is 50°, angle B is 40°, angle C is 120°, and angle D is 150°
Answer:
A: angle A is 90°, angle B is 90°, angle C is 90°, and angle D is 90°
B: angle A is 80°, angle B is 80°, angle C is 100°, and angle C is 100°
D: angle A is 60°, angle B is 50°, angle C is 120°, and angle D is 130°
Step-by-step explanation:
The sum of opposite angles of a cyclic quadrilateral is 180°
It must satisfy the following:
A+C=180° and B+D=180°
Only choice A and B and D satisfy.
The correct options are options A, B, and D.
What is a cyclic quadrilateral?A quadrilateral having all its corners on a circle plus opposite angles' sum is 180° called a cyclic quadrilateral.
A) ∠A =90°
∠B=90°
∠C =90°
∠D =90°
∠A + ∠C = 180°
∠B + ∠D =180°
So, this quadrilateral can come from a cyclic quadrilateral.
B) ∠A =80°
∠B=80°
∠C =100°
∠D =10 0°
∠A + ∠C = 180°
∠B + ∠D =180°
So, this quadrilateral can come from a cyclic quadrilateral.
Similarly, options C, D, and E also can be checked whether they can come from a cyclic quadrilateral or not.
C) Cannot come from a cyclic quadrilateral since ∠A + ∠C =140°≠180°.
D) ∠A + ∠C = 180°
∠B + ∠D =180°
So, this quadrilateral can come from a cyclic quadrilateral.
E)Cannot come from a cyclic quadrilateral since∠A + ∠C = 170°≠180°.
Therefore, The correct options are options A, B, and D.
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. A un concierto asistieron 10000 personas , lo que representó un total de
$6600000 en ingresos por venta de boletos. Había boletos de dos precios
de acuerdo con la proximidad al escenario: general ($500) y preferente
($1300). ¿Cuántos boletos de cada tipo se vendieron?
Answer:
Número de boletos general = 8000
Número de boletos preferente = 2000
Step-by-step explanation:
Total de personas = 10000 personas
Venta total = $6600000
Ecuación para la venta total en terminos de boletos vendidos:
Número de boletos general = variable g
Número de boletos preferente = variable p
$500g + $1300p = $6600000
Simplifica la ecuación:
5g + 13p = 66000
Subsituye una de las variables usando la ecuación g + p = 10000:
g + p = 10000 => g = 10000 - p
5g + 13p = 66000 => 5(10000 - p) + 13p = 66000
Aislar la variable p:
5(10000 - p) + 13p = 66000
50000 - 5p + 13p = 66000
8p = 16000
p = 16000/8 = 2000
g = 10000 - p = 10000 - 2000 = 8000
Número de boletos general = 8000
Número de boletos preferente = 2000
Help asap, I will give brainliest.
Answer:
-3 ?? i think this is correct
Step-by-step explanation:
i did 3x-1
The volume of a cuboid is 189cm3.
The length is 7cm and the width is 9cm.
Work out the height of the cuboid.
help read the instructions ffirst
Answer:
Step-by-step explanation:
Find attached the first sum.
x denotes horizontal and y denotes vertical
When the value of x is positive, it moves to right side and when x is negative, it moves left sides 'x unit'
When the value of y is positive, it moves to up side and when y is negative, it moves down sides 'y unit'
The system of equations y = 2x + 5 and y = –3x – 15 is shown on the graph below.
On a coordinate plane, 2 lines intersect at (negative 4, negative 3).
According to the graph, what is the solution to this system of equations?
(–4, –3)
(–3, –4)
(–5, 5)
(5, –5)
Answer: A
Explanation:
Answer:
A. (–4, –3)
Step-by-step explanation:
This is in case any one else had the answer on a different letter.
i will give you a brainliest if our answer are correct
Answer:
Naomi and Pierre
Step-by-step explanation:
Answer:
I don't no
Step-by-step explanation:
sorry friend
Use the diagram below to find x and each missing angle. Please
Answer:
x=18
<1=34
<2=56
Step-by-step explanation:
2 and 1/8 + 1 and 3/4
x³-5x²+2x-10 devided by x²+2
Answer:
x-5
Step-by-step explanation:
Let y = 5e5z
A. Find the differential dy
25e53
dy
B. Use part A. to find dy when x = - 3 and dir = 0.4.
Round your answer to 2 decimal(s).
dy =
Submit Question
Answer:
[tex]\displaystyle dy = 25e^{5x}dx\\dy = 3.27 \cdot 10^7[/tex]
General Formulas and Concepts:
Math
RoundingEuler's Number e - 2.71828Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightCalculus
Derivatives
Derivative Notation
Differentials
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹eˣ Derivative: [tex]\displaystyle \frac{dy}{dx}[e^u] = u'e^u[/tex]
Step-by-step explanation:
Part A
Step 1: Define
[tex]\displaystyle y = 5e^{5x}[/tex]
Step 2: Differentiate
[Function] eˣ Derivative: [tex]\displaystyle \frac{dy}{dx} = \frac{dy}{dx}[5x] \cdot 5e^{5x}[/tex][Derivative] Basic Power Rule: [tex]\displaystyle \frac{dy}{dx} = 5x^{1 - 1} \cdot 5e^{5x}[/tex][Derivative] Simplify: [tex]\displaystyle \frac{dy}{dx} = 5 \cdot 5e^{5x}[/tex][Derivative] Multiply: [tex]\displaystyle \frac{dy}{dx} = 25e^{5x}[/tex][Derivative] [Multiplication Property of Equality] Isolate dy: [tex]\displaystyle dy = 25e^{5x}dx[/tex]Part B
Step 1: Define
[Differential] [tex]\displaystyle dy = 25e^{5x}dx[/tex]
[Given] x = 3, dx = 0.4
Step 2: Evaluate
Substitute in variables [Differential]: [tex]\displaystyle dy = 25e^{5(3)}(0.4)[/tex][Differential] [Exponents] Multiply: [tex]\displaystyle dy = 25e^{15}(0.4)[/tex][Differential] Evaluate exponents: [tex]\displaystyle dy = 25(3.26902 \cdot 10^6)(0.4)[/tex][Differential] Multiply: [tex]\displaystyle dy = (8.17254 \cdot 10^7)(0.4)[/tex][Differential] Multiply: [tex]\displaystyle dy = 3.26902 \cdot 10^7[/tex][Differential] Round: [tex]\displaystyle dy = 3.27 \cdot 10^7[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Differentials
Book: College Calculus 10e
A town doubles its size every 70 years. If the population is currently 3,000, what will the population be in 140 years?
Answer:
12000
Step-by-step explanation:
3000x2^(140/70)