35-40 evaluate the integral by interpreting it in terms of areas.
39. [tex]\int_{-4}^{3}\left|\frac{1}{2} x\right| d x[/tex]
Answers
The value of the definite integral corresponds to the total area of two triangles (see attached plot).
[tex]\displaystyle \int_{-4}^3 \left|\frac x2\right| \, dx = \dfrac12 \times 2 \times 4 + \dfrac12 \times 3 \times \dfrac32 = \boxed{\frac{25}4}[/tex]
![35-40 Evaluate The Integral By Interpreting It In Terms Of Areas. 39. [tex]\int_{-4}^{3}\left|\frac{1}{2}](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/nx7ubjjBOBdKlMdoBZmg8J8OsUVXv9XM.png)
Related Questions
simultaneous equations please someone help me
2x +5y = -10 2x -y =8
Answers
Answer:
there is the answer to your question
Brendon walsh wants to borrow $50,000 from the bank. the interest rate is 6% and the term is for 5 years.
what is the monthly payment amount?
o $3,000
o $10,600
o $600
$883.33
Answers
Brendon has to pay $1083.33 as monthly payment.
What is Interest ?Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan.
This percentage is known as the interest rate on the loan.
Brendon walsh wants to borrow $50,000
P = $50,000
The interest rate is 6%
and the term is for 5 years
S.I. = (P*R*T)/100 = (50000*6*5)/100 = 15,000
AMOUNT = 50000+15000
Amount = $65000
This amount has to be paid in 5 years , Therefore
65000/5=13000
monthly 13000/12 = $1083.33
Brendon has to pay $1083.33 as monthly payment.
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Sandra plotted the point whose ordered pair is (-4, 6). Which point did Sandra plot?
Point D
Point A
-10 6
Point B
Point C
Answers
Answer:
POINT A
Step-by-step explanation:
it is 4 units to the left and 6 units up of the origin
36) A new car dealership celebrated its grand opening by awarding prizes to 10 buyers. Five of
the buyers received a cash prize of $500, and 3 buyers received a cash prize of $1000. Two
buyers received $2500. If one of the buyers receiving a prize is selected at random, what is the
probability that the buyer received $2500?
Answers
Answer:
.20
Step-by-step explanation:
help please
Based on a your normal distribution curve, 68% of a sample pack of M&M's would have
at LEAST how many orange M&M's out of a pack of 56 total M&M's
Answers
Based on your normal distribution curve, 68% of the sample pack of M&M's will have 38 orange M&M's
Data obtained from the questionTotal pack = 56Percentage = 68%Amount of M&M's =?How to determine the amount of M&M'sThe amount of M&M's that will be obtained from the pack of 56 can be obtained as follow:
Amount = percentage × total
Amount of M&M's = 68% × 56
Amount of M&M's = 0.68 × 56
Amount of M&M's = 38
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The volume of a water walking ball is $\frac{4}{3}\pi$
cubic meters. Find the diameter of
the water walking ball.
A photo shows a small boy inside a water walking ball in a pool.
The diameter is
meters.
Answers
If the radius of the ball is 1 meter. Then the diameter of the ball will be 2 meters.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The volume of a water walking ball (in cubic meters) is given below.
[tex]\rightarrow\dfrac{4}{3}\pi[/tex]
Then the diameter of the sphere will be
We know the volume of the sphere is given as
[tex]V = \dfrac{4}{3}\pi r^3[/tex]
where r is the radius of the ball.
Then the radius of the ball will be
[tex]\rm \dfrac{4}{3}\pi = \dfrac{4}{3}\pi r^3\\\\r^3 \ = 1\\\\r \ \ = 1\ m[/tex]
Then the diameter of the ball will be
d = 2r
d = 2 × 1
d = 2 m
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6 Mateo and Katia each walked into a
video arcade with $9.50 in quarters. After
they played video games for an hour, Katia
had $1.75 more than Mateo. Which could
be the amounts of money they had then?
Answers
5.
—-
help please
—
math geniuses pls help!!!
pls check other questions too!
Answers
Answer:
The mean is greater than median
Step-by-step explanation:
Option D
A frog wants to cross a stream. The stream is two metres wide. On every jump, Frog covers one-third metre distance. In how many jumps will Frog reach from rock A to rock B?
Answers
1/3 of 2 meters = 66.668 x 3 = 200.004
Reason
If frog jumps 1/3 meter in every jump, it will take 3 jumps to make 1 meter, thus 6 jumps to make 2 meters.
5. 7/8 = 2/48
O
A. 42
O B. 1
O C. 13
OD. 6
Answers
Answer: A. 42
7/8 = ?/48
8 * 6 = 48
7 * 6 = 42
? = 42
Which is an equation of a direct proportion?
y= 1/2x – 2
y=3/x
y = -3x +4
y = -3x
Answers
Answer:
y = - 3x
Step-by-step explanation:
an equation involving direct proportion has the form
y = kx ← k is the constant of proportion
the only equation in this form is
y = - 3x ( with k = - 3 )
You are in charge of purchasing breakfast for an upcoming service activity involving about 50 people.
You have the choice to pick one of the following food items:
donuts ($0.30/each)
muffins ($0.50/each)
bagels ($0.40/each)
You have the choice to pick one of the following drinks:
individual cartons of milk or chocolate milk ($0.50/each)
individual bottles of orange juice or apple juice ($0.75/each)
You must stay within a budget of $100.
Write the following in your notebook.
What food item did you choose? What drink did you choose? Why?
Write an inequality to represent the cost of the items (less than or equal to $100) in standard form. Use x to represent the number of food items and y to represent the number of drinks.
Solve the inequality for y (slope-intercept form). Interpret the slope in context of the drinks and food items that are being purchased.
Graph the inequality and describe your graph and the process you used; for example, is your line dotted, solid, or shaded up or down? What does the shaded region represent?
What are the x and y-intercepts? Explain what these would represent in this situation.
What are the domain and range in this problem? Explain why you would or would not use the minimum and maximum values of the domain and range. How are the domain and range in the context of this problem different from the domain and range of any linear equation? What are the limits?
Answers
The limits of the domain and the range are 0 to 200, respectively; and you would use the minimum and maximum values of the domain and range because the graph of the inequality uses a solid line.
The items chosenThe items selected here could be any of the listed drinks and food items.
To solve this question, we use the following selection:
Muffins ($0.50/each) -- xindividual cartons of milk or chocolate milk ($0.50/each) -- yBudget of $100The inequality of the cost of itemsIn this case, we use the less than or equal to inequality.
So, we have:
0.5x + 0.5y ≤ 100
Solve the inequality for y (slope-intercept form).In (b), we have:
0.5x + 0.5y ≤ 100
Subtract 0.5x from both sides
0.5y ≤ -0.5x + 100
Divide through by 0.5
y ≤ -x + 200
This means that the slope is -1, and it means that for every food item bought, there is a decrement of 1 in the drink.
The graph of the inequalitySee attachment for the graph of the inequality
The features of the graph include
Straight and solid lineIt is shaded downThe shaded region represents the acceptable solutionsWhat are the x and y-intercepts?From the attached graph, we have:
x-intercept = 200y-intercept = 200This means that you can buy 200 food items, when you buy no drinks or buy 200 drinks when you buy no food item
What are the domain and range in this problem?These are the acceptable x and y values of the graph.
From the attached graph, we have:
Domain: 0 ≤ x ≤ 200Range: 0 ≤ y ≤ 200The domain and range are different from the domain and range of any linear equation because the domain and the range of a linear equation is the set of all real numbers, while this domain and range are limited to 0 to 200
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In triangle abc, points d and e are the midpoints of and respectively. what are the slope and length of , if the slope and length of are 0.5 and 3.2 units, respectively? a. slope = -2, length = 3.2 units b. slope = 0.25, length = 3.2 units c. slope = 0.5, length = 1.6 units d. slope = -2, length = 1.6 units e. slope = 0.25, length = 1.6 units
Answers
The slope and length of segment DE in the given triangle are: 0.5, and 1.6 units respectively.
What is the Slope of Parallel Lines?The slope of lines that are parallel to each other are always the same.
Segment DE is parallel to segment BC in triangle ABC.
Since slope of BC is 0.5, slope of DE would also be: 0.5.
Since E and D are the the midpoints of AC and AB respectively, it means that:
Length of DE = 1/2(length of BC)
Length of DE = 1/2(3.2)
Length of DE = 1.6 units
Therefore, slope of DE is: 0.5
Length of DE is: 1.5 units.
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Answer:
C. Slope = 0.5, length = 1.6 units.
Hope this helps!
Step-by-step explanation:
Given the quantity of 3 x squared plus x minus 4, all over x minus 1, what are the domain and range? domain is x is all real numbers where x does not equal negative 1 comma range is y is all real numbers where y does not equal 1 domain is x is all real numbers where x does not equal 1 comma range is y is all real numbers where y does not equal negative 1 domain is x is all real numbers where x does not equal negative 1 comma range is y is all real numbers where y does not equal negative 7 domain is x is all real numbers where x does not equal 1 comma range is y is all real numbers where y does not equal 7
Answers
The domain of the expression is a real number except 1 and the range of the expression is also a real number.
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
The expression is given below.
(3x² + x - 4) / (x - 1)
The expression can be written as
(3x² + 4x - 3x - 4) / (x - 1)
[(3x + 4)(x - 1)] / (x - 1)
3x + 4
The domain of the expression is a real number except 1 and the range of the expression is also a real number.
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Find all solutions of the system of equations algebraically. Write your solutions as coordinate points.
Answers
Answer:
Coordinate form:
(9,-1) (-4,12)
Step-by-step explanation:
y=3x^2-16x-100
Sub in y for the second equation
x+3x^2-16x-100=8
Continue solving
End result should look like that:
At the beginning of the year, Cassandra talks to her cousin about a $1000 loan which she will repay after she graduates from college. On December 31st, her cousin will add 12% interest to the balance of the loan outstanding. If Cassandra makes no payments on the loan until she graduates, which equation shows the loan balance b after n years?
Answers
Using an exponential function, it is found that the loan balance b after n years is given by:
[tex]b(n) = 1000(1.12)^n[/tex]
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.In this problem, we have that:
She took a $1,000 loan, hence A(0) = 1000.The interest rate is of r = 0.12.Hence the balance b after n years is given by:
[tex]b(n) = 1000(1.12)^n[/tex]
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Find the measure of the missing angles.
Answers
Answer:
y= 129
x= 39
Step-by-step explanation:
Brendan's original plan was to visit stuttgart, dresden, weisbaden, and berlin. however, he would like to keep his costs under €860. which change to brendan’s travel plans would result in his staying under, but closest, to his original budget? a. replace dresden with potsdam. b. replace stuttgart with kiel. c. replace berlin with munich. d. replace weisbaden with hanover.
Answers
Brendan's trip plans could be changed to keep him under, but near to, his original budget if he replaces Stuttgart with Kiel. Therefore, it is B.
What exactly is a budget?A budget is basically a financial forecast of revenue and spending for a given period.
The substitution of Kiel for Stuttgart in Brendan's trip plans would result in him keeping under, but near to, his original budget. This will help save money.
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Which sets of ordered pairs represent a function? Select all that apply.
A. (1,1), (1,2), (1,3), (1.4)
B. (1,1), (2,2), (3,3), (4,4)
C. (1,1), (2,1), (3,1), (4,1)
D. (1,4), (2,4), (1,3), (2,3)
E. (1,4), (2,2), (3,1), (4,3)
Answers
Answer:
B, C, and E
Step-by-step explanation:
In order for a function to be a function, an ordered pair cannot be on the same x coordinate
Boyle's Law says that the volume of a gas varies Inversely with the pressure. When the volume of a certain gas is 2 L, the pressure is 290 kPa (kilopascals).
What is the pressure when the volume is 5 L?
Answers
Please help me thanks!!!!!!!
Answers
Answer:
See below ~
Step-by-step explanation:
Subpart (a) :
⇒ Surface area = 2(3 × 4 + 4 × 5 + 3 × 5)
⇒ Surface area = 2(12 + 20 + 15)
⇒ Surface area = 2(47)
⇒ Surface area = 94 in²
===============================================================
Subpart (b) :
⇒ Volume = 3 × 4 × 5
⇒ Volume = 12 × 5
⇒ Volume = 60 in³
=============================================================
Subpart (c) :
⇒ New surface area = 2 x 94
⇒ New surface area = 188 in²
=============================================================
Subpart (d) :
⇒ New : Original
⇒ 188 : 94
⇒ 2 : 1
A linear regression is done on data the line of best fit is y= 1.25x-6.25. What is the residual for the point (1,1)?
Answers
Answer:
6
Step-by-step explanation:
Find the predicted y value when x=1:
[tex]\hat{y}=1.25x-6.25\\\hat{y}=1.25(1)-6.25\\\hat{y}=1.25-6.25\\\hat{y}=-5[/tex]
Find the residual:
[tex]\text{Residual}=\text{Actual Value}-\text{Predicted Value}\\\text{Residual}=y-\hat{y}\\\text{Residual}=1-(-5)\\\text{Residual}=1+5\\\text{Residual}=6[/tex]
Because our residual is positive, this is an indicator that our predicted y value is too low.
Questions 1-4 of 4 | Page 1 of 1
Question 1 (1 point)
Of 100 boys, 34 are on the Honor Roll, 29 play sports, and 27 are on the Honor Roll and play sports.
What is the probability that a randomly selected student plays sports or is on the Honor Roll? Pick
the most simplified answer.
a
36/100
9/25
Oc 18/50
Od 3/5
Answers
Answer:
A 36/100
Step-by-step explanation:
the probability is going to be this because the rates in honor roll and sports are higher than the other 27 that do both.
Please help! lol and thanks to whoever helps
Answers
[tex]\textit{volume of a rectangular prism}\\\\ V=Lwh ~~ \begin{cases} L=length\\ w=width\\ h=height\\[-0.5em] \hrulefill\\ h=1.8\\ L=4.2\\ V=26.46 \end{cases}\implies \begin{array}{llll} 26.46=(4.2)w(1.8)\implies 26.46=7.56w \\\\\\ \cfrac{26.46}{7.56}=w\implies 3.5=w \end{array}[/tex]
Question 7(Multiple Choice Worth 1 points)
(07.05 MC)
graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 3, negative 1, and 3
Which of the following functions best represents the graph?
f(x) = (x + 3)(x − 3)(x − 9)
f(x) = (x + 3)(x − 3)(x + 9)
f(x) = (x + 3)(x − 3)(x − 1)
f(x) = (x + 3)(x − 3)(x + 1)
Answers
The function best represents the given graph will be f(x) = (x + 3)(x − 3)(x - 1)
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
Given that:-
A graph of a cubic polynomial that falls to the left and rises to the right with x-intercepts negative 3, negative 1, and 3.The polynomial for the given points will be written as:-
f(x) = (x + 3)(x − 3)(x - 1)
The coordinate is -3 so it will be written as (x+3) similarly 1, and 3 will be written as (x-3) and (x-1) .
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For how many values of x does f(x) = g(x), on the graph shown
below?
a. 0
b. 2
c. 3
d. 6
Answers
Answer:
the answer is C
Step-by-step explanation:
as you can see f(x) cut g(x) 3 time ( sorry for my bad English )
** PLS HELP **
BRAINLIEST!
Answers
Answer:
a and d
or
c and b
Step-by-step explanation:
supplementary angles are angles that add up to 180 degrees
when looking at the rectangle you see two possible answers
Multiply, add and subtract to find the total. *
calvin paints ad posters. he charges $50 for a large poster and
$30 for a small poster. last week, he sold 3 large posters and 6
small posters. he also had to spend $40 to buy more paint.
how much money does calvin have left?
your answer
Answers
Answer:
$290
Step-by-step explanation:
3x50=$150
6x30=$180
180+150=$330
330-40=$290
The width of a rectangle is 2x + 2. The length of a rectangle is 3x + 3. What is
the area of the rectangle?
Answers
expand with rainbow method
6x^2 + 6 + 6x + 6x = 6x^2 + 12x + 6
6(x^2 + 1 + 2x) - answer
Which angle in this quadrilateral is a right angle? Angle A Angle B Angle C Angle D
Answers
Answer:
A rectangle is one. If that is one of the options, this would be the correct answer.
Step-by-step explanation:
A quadrilateral can be proved to be a rectangle in several ways. Here are three simple methods: 1) Demonstrate that all angles are 90°; 2) Demonstrate that one set of sides is parallel and that two opposite angles are 90°; and 3) Demonstrate that the diagonals are bisected and equal in length.
Answer:
A rectangle is one. If that is one of the options, this would be the correct answer.
Step-by-step explanation:
A quadrilateral can be proved to be a rectangle in several ways. Here are three simple methods: 1) Demonstrate that all angles are 90°; 2) Demonstrate that one set of sides is parallel and that two opposite angles are 90°; and 3) Demonstrate that the diagonals are bisected and equal in length.
