please show work it’s for calc

Please Show Work Its For Calc

Answers

Answer 1

Answer:

-93

Step-by-step explanation:

This is just.a matter of using a couple of integration rules and plugging in then using order of operations.

Difference rule and constant multiple rule will be used here.

3(-17)-7(6)

-51-42

-93

Answer 2

Answer:

[tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx = -93[/tex]

General Formulas and Concepts:

Calculus

Integration

Integrals

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                       [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \int\limits^6_4 {f(x)} \, dx = -17[/tex]

[tex]\displaystyle \int\limits^6_4 {g(x)} \, dx = 6[/tex]

[tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx[/tex]

Step 2: Integrate

[Integral] Rewrite [Integration Property - Addition/Subtraction]:               [tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx = \int\limits^6_4 {3f(x)} \, dx - \int\limits^6_4 {7g(x)} \, dx[/tex][Integrals] Rewrite [Integration Property - Multiplied Constant]:              [tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx = 3 \int\limits^6_4 {f(x)} \, dx - 7 \int\limits^6_4 {g(x)} \, dx[/tex][Integrals] Substitute:                                                                                    [tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx = 3(-17) - 7(6)[/tex]Simplify:                                                                                                         [tex]\displaystyle \int\limits^6_4 {[3f(x) - 7g(x)]} \, dx = -93[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration


Related Questions

Given the preimage and image, find the dilation scale factor​

Answers

Answer:

1/2

Step-by-step explanation:

the dilation factor should be 1/2

if u count the dots on the sides of the preimage there are 2 dots that's the length if u count the dots on the real image it's 4therefore 2/4 to it's lowest term is 1/2 so 1/2 is the scale factor

Answer:

should be 1/2 as your answer

Roberto watched 5 more hours of tv than Jamie last week. Together, they watched a total of 23 hours of tv last week. How many hours did Roberto watch

Answers

Answer: 14 hours

Step-by-step explanation:

Let the number of hours of TV that Jamie watched be represented by x.

Since Roberto watched 5 more hours of tv than Jamie last week, therefore the number of hours of TV that Roberto watched will be: x + 5

Together, they watched a total of 23 hours of tv last week. Therefore,

x + (x + 5) = 23

2x + 5 = 23

2x = 23 - 5

2x = 18

x = 18/2

x = 9

Jamie watched 9 hours of TV

Therefore, Roberto watched x+ 5 = 9 + 5 = 14 hours

Decide which kind of change(s) is/are illustrated in each equation
(meaning changed from "regular" y=sinx or y=cosx)
→ Note: more than once choice may be circled per question.

Answers

Phase shift and period change

Rewriting the equation:

y = cos ( 2 ( x - 2 ) )

Phase shift 2 units to the right

Period changed to 2pi/2 = pi

What is the length of line segment SA

Answers

Answer:

slalalallalalalalalalalalallapapapqpqpq

Two numbers have a sum of 35 and an
LCM of 42. What are the two numbers?

HELP PLEASE <3

Answers

Answer:

14, 21

Step-by-step explanation:

LCM : least common multiplier.

x + y = 35

LCM = 42

means that there is a combination of 2 of the following divisors of 42 :

2, 3, 6, 7, 14, 21

so, which two of these numbers can create the sum of 35 ?

only 14 and 21

[tex]\sqrt\\x^{2} - 3\\[/tex]

Answers

you can’t simplify it more than it is

How much is 3a²-5ab+7b²+3 greater than 2a²+2ab+5?​

Answers

Answer:

a²-7ab+7b²-2

Step-by-step explanation:

3a²-5ab+7b²+3 - ( 2a²+2ab+5 ) = 3a²-5ab+7b²+3 - 2a²-2ab-5 = a²-7ab+7b²-2

Algebraic math question

Answers

Answer:

[tex] 7 \: {ft}^{2} [/tex]

Step-by-step explanation:

Area of the trapezoidal table

[tex] =\frac{1}{\cancel 2}(4 + 3)\times \cancel 2[/tex]

[tex] = 7 \: {ft}^{2} [/tex]

Answer:

7 ft squared

Step-by-step explanation:

Area of the trapezoidal table

ASAP HELP PLS NO WRONG ANSWERS------------

Answers

Answer

d = 12

Step-by-step explanation:

square root 4y - 3 = d - y where y = 7

Substitute y for 7

Square root 4(7) - 3 = d - (7)

Multiply 4 and 7

Square root 28 - 3 = d - (7)

Subtract 28 - 3

Square root 25 = d - (7)

Square root 25

5 = d - (7)

Add 7 to both sides

12 = d


Therefore, d = 12

Answer:

d=2

Step-by-step explanation:

We are given equation:

sqrt(4y-3)=d-y

Squaring both sides gives:

4y-3=(d-y)^2

Applying the identity (x+y)^2=x^2+2xy+y^2 on right:

4y-3=d^2-2dy+y^2

Now let's y=7:

4(7)-3=d^2-2d(7)+(7)^2

Simplify:

25=d^2-14d+49

Subtract 25 on both sides:

0=d^2-14d+24

Factor left:

0=(d-12)(d-2) since -2+-12=-14 and -2(-12)=24

This gives d=12 or d=2.

The d that makes d-y or I mean d-7 negative will give us y=7 as extraneous

Since 2-7 is -5, then d=2 is what we are looking for.

Check:

sqrt(4y-3)=d-y

Set d=2: sqrt(4y-3)=2-y

Now solve for y:

Square both sides: 4y-3=4-4y+y^2

Subtract 4y and 3 on both sides: 0=7-8y+y^2

Reorder right side: 0=y^2-8y+7

Factor: 0=(y-7)(y-1) since -7+-1=-8 and -7(-1)=7

This gives y=7 or y=1.

Plugging in y=7 for a check to this equation gives:

sqrt(4×7-3)=2-7

Sqrt(25)=-5

5=-5 which is not true which is what we wanted

URGENT PLS HELP . pls put explanation as well. thank you:)

Answers

Answer:

The promoters profit would be $46,350 if they sell 850 tickets

Step-by-step explanation:

The value 61 is likely the cost of each ticket, and the value 5,500 is likely the amount the promoter spent in order to promote at the concert since it was being subtracted from his profits

Hope this helps :)

The two bases of a trapezoid measure 14 inches and 10 inches respectively. The trapezoid's height is 8 inches. What is the area of the trapezoid?
192 square inches

1120 square inches

140 square inches

96 square inches

Answers

Answer:

A = 96 inches ^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 ( b1+b2)h  where b1 and b2 are the bases and h is the height

A = 1/2( 14+10)*8

A = 1/2(24)*8

A = 12*8

A = 96 inches ^2

[tex]\huge\mathfrak\red{❥︎ANSWER}[/tex]

A = 96 square inches..

Step-by-step explanation:

The area of trapezoid is given

A = 1/2 (b1+b2)h where b1 and b2 is base and h is height

A = 1/2 (14+10)*8

A = 1/2 (24)*8

A = 12 * 8

A = 96 square inches ....

kendra is 3 times her dauters age plus 7 years kendra is 49 years old. write an equation to find he duaghters age?

Answers

Answer:

3x+ 7 =49

Step-by-step explanation:

49-7= 42

42 divided by 3 = 14

her daughter is 14 years old

I truly hope this helped, it makes sense to me. I wasn't sure whether or not you needed a more detailed equation, but that's one.

have a great day!

Cho 6 số thỏa mãn: xa+yb=c ,xb+yc=a, xc+ya=b; abc khác 0

Tính P= [tex]$\frac{a^{2}}{bc}$ + $\frac{b^{2}}{ca}$ + $\frac{c^{2}}{ab}$[/tex]

Answers

Answer:

Step-by-step explanation:

xa+yb=c

xb+yc=a

xc+ya=b

add

x(a+b+c)+y(a+b+c)=a+b+c

x+y=1 ... (1)

xac+ybc=c²

xab+yac=a²

xbc+yab=b²

add

x(ab+bc+ca)+y(ab+bc+ca)=a²+b²+c²

[tex]x+y=\frac{a^2+b^2+c^2}{ab+bc+ca} \\\frac{a^2+b^2+c^2}{ab+bc+ca} =1\\a^2+b^2+c^2=ab+bc+ca\\a^2+b^2+c^2-ab-bc-ca=0\\a^3+b^3+c^3-3abc=(a+b+c)(a^2+b^2+c^2-ab-bc-ca)=(a+b+c)(0)=0\\a^3+b^3+c^3=3abc\\\frac{a^3}{abc} +\frac{b^3}{abc} +\frac{c^3}{abc} =3\\\frac{a^2}{bc} +\frac{b^2}{ca} +\frac{c^2}{ab} =3[/tex]

Sheldon is baking 2-inch cookies. He has 3 trays that are the same size. On one tray, he makes 5 rows with 4 cookies in each row. He cannot fit any more cookies on the tray. He fills the second tray completely and only part of the third tray. How many cookies could Sheldon have made?

Answers

Answer: Sheldon has made 50 cookies

Step-by-step explanation: for the first test because there are 5 rows and 4 cookies on each row you would multiply 4 times 5. That equals 20. The first tray has twenty and all trays are the same size so if the second one is completely full then it also has twenty. The third one is only half way full meaning twenty divided by two equals ten. Ten is the amount of cookies on the third tray. If you add that all together that is 20+20+10=50

The number of cookies made by Sheldon will be equal to 50.

What is an arithmetic operation?

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

For the first test, you would multiply 4 by 5 because there are 5 rows and 4 cookies on each row. 20 is the result.

Since all trays are the same size and the first tray has twenty, if the second tray is totally filled, it will also have twenty.

Twenty divided by two equals 10 because the third one is only half full.

There are ten cookies on the third tray.

The total is,

20+20+10 = 50.

To know more about arithmetic operations:

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Joe worked for three days. On the first day, he completed 1/2 of his work. On the second day, he completed 1/3 of the remaining work. What fraction of the work was left for the third day?​

Answers

Answer:

1/3

Step-by-step explanation:

first day work=1/2

work left=1-1/2=1/2

second day finished=1/3 ×1/2=1/6

work left =1/2-1/6=3/6-1/6=2/6=1/3

Convert the credit card rate to the APR. Ohio, 0.02192% daily rate. Please round your answer to the nearest percent. (zero decimal place.) Enter only the number without $ sign.

Answers

Answer:

8%

Step-by-step explanation:

APR means annual percentage rate.

To convert the daily rate to an APR, multiply the daily rate by the number of days in a year

365 days = 1 year

0.02192% x 365 = 8.0008%

To round off to the nearest percent, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.

The tenth digit is 0, so the number would be rounded off to 8%

Cual es la raiz cudrada de 2

Answers

Answer:

1.4142135

Step-by-step explanation:

Which is the equation of the line with y-intercept -2 and slope 6.

Answers

Answer:

The equation would be y=m-2+6

Step-by-step explanation:

Have a great day :)

find the missing length indicated​

Answers

Answer:

108

Step-by-step explanation:

Use the ratio of corresponding sides of similar triangles:

81 / x = x / 144x² = 81*144x = [tex]\sqrt{81*144}[/tex]x = 9*12x = 108

Answer:

x = 108

Step-by-step explanation:

x is the height

from the Euclidian theorem we know that :

x^2 = 81*144

x^2 = 11664 find the root for both

x = 108

which radical expression in the picture is equivalent to t^5/8?

Answers

Answer: Choice B

=========================================================

Explanation:

The rule we use is

[tex]\Large a^{m/n} = \sqrt[n]{a^m} = \left(\sqrt[n]{a}\right)^m[/tex]

where 'a' is the base, m stays in the role of the exponent, and n plays the role of the root index (eg: n = 3 is a cube root, n = 4 is a fourth root, and so on).

So for instance,

[tex]\Large 2^{3/4} = \sqrt[4]{2^3} = \left(\sqrt[4]{2}\right)^3[/tex]

or in this case,

[tex]\Large t^{5/8} = \sqrt[8]{t^5} = \left(\sqrt[8]{t}\right)^5[/tex]

Can someone explain this / answer, Its a picture

Answers

Answer:

option c is the correct answer (l=1 cm and w=42cm)

Step-by-step explanation:

length(l) = 1.00cm

width(w)= 42.00 cm

ACCORDING TO FORMULA

Area of rectangle = l×w

=1 cm × 42 cm

= 42cm^2

Suppose that d varies jointly with r and t, and d = 110 when r = 55 and t = 2. Find r when d = 40 and t = 3.

Answers

Answer:

r = 13.33

Step-by-step explanation:

d = k*r*t

Where,

k = constant of proportionality

d = 110 when r = 55 and t = 2

d = k*r*t

110 = k * 55 * 2

110 = 110k

k = 110/110

k = 1

Find r when d = 40 and t = 3

d = k*r*t

40 = 1 * r * 3

40 = 3r

r = 40/3

= 13.333333333333

Approximately,

r = 13.33

Find the measure of

Answers

Answer:

<L is 90°

Step-by-step explanation:

all angles at the center are twice the angles at the circumference and the angle at the center is 180 meaning the angle at the circumference will be half of 180

I hope this helps

BRAINIST FOR CORRECT AWNSER

What is the area of the figure below?

12.5 sq. units
7.5 sq. units
25 sq. units
15 sq. units

Answers

Answer:

7.5 square units

Step-by-step explanation:

3x5=15. 15/2=7.5. 7.5 is the area. PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS brainliest.

Answer:

7.5 sq units

Step-by-step explanation:

Let's list out all the points in the triangle.

(0,4) (4,1) and (5,4)

Find the distance b/w each side

distance b/w (0,4) and (4,1) is

[tex]\sqrt{(1-4)^{2}+( 4-0)^{2} }[/tex] =[tex]\sqrt{(-3)^{2}+16 } =\sqrt{9+16}=\sqrt{25} =5[/tex]

distance b/w (4,1) and (5,4) is

[tex]\sqrt{(4-1)^{2}+(5-4)^{2} }=\sqrt{9+1}=\sqrt{ 10 }[/tex]

distance b/w (5,4) and (0,4) is

[tex]\sqrt{(4-4)^2+(0-5)^2}=\sqrt{25} =5[/tex]

So the given triangle is an isoscles triangle meaning 2 sides are equal.

So we can use the formula 1/2*base*height=

1/2*[tex]\sqrt{10}[/tex]*5

=0.5*3.16*5=7.905

So the approximate answer would be 7.5 sq units

Find the value of x.

A. 176
B. 256
C. 74
D. 128

Answers

Answer: D

Step-by-step explanation: Using the angle formed by two chords theorem, angle X is equal to 1/2 times the sum of the degree measures of the two arcs.

The angle x will be equal to 128 degrees. The correct answer is option D.

What are the Angles of Intersecting Chords Theorem?

When two chords cross inside of a circle, the resulting angle's measure is equal to the product of the lengths of the arcs it intercepts and its vertical angle, divided by two.

The angle x will be calculated as below:-

Angle x = Sum of angles made by two intersecting chords / 2

Angle x = ( 54 + 202 ) / 2

Angle x  = ( 256 / 2 )

Angle x  = 128 degrees

Therefore, the angle x will be equal to 128 degrees. The correct answer is option D.

To know more about the Intersecting Chords Theorem follow

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Consider this linear function y=1/2x+1 plot all ordered pairs for the values in the domain D:{-8,-4,0,2,6}

Answers

Answer:

Following are the calculated points to the given question:

Step-by-step explanation:

[tex]When\ x=-8\\\\y=\frac{1}{2}(-8)+1=-3\\\\[/tex]

so,  

[tex]Point \ A(-8,-3)[/tex]

[tex]When\ x=-4\\\\y=\frac{1}{2}(-4)+1=-1\\\\[/tex]

so,  

[tex]Point \ B(-4,-1)[/tex]

[tex]When\ x=0\\\\y=\frac{1}{2}(0)+1=1\\\\[/tex]

so,  

[tex]Point \ C(0,1)[/tex]

[tex]When\ x=2\\\\y=\frac{1}{2}(2)+1=2\\\\[/tex]

so,  

[tex]Point \ D(2,2)[/tex]

[tex]When\ x=6\\\\y=\frac{1}{2}(6)+1=4\\\\[/tex]

so,

[tex]Point \ E(6,4)[/tex]

complete the square x^2+45=-14x

Answers


2
+
4
5
=

1
4

x
2
+
45
=

14
x
x2+45=−14x

2
+
4
5


1
4

=
0

3. What is the solution to the equation x3 = = 216

A. 72
B. 27
C. 8
D.6​

Answers

Answer:

I assume that the question is [tex]x^{3} = 216[/tex]

6 * 6 = 36    35*6 = 216

in other words 6*6*6 = 216

Step-by-step explanation:

A. 72
3x=216
x=216/3
x=72

A traveling salesman figures it costs 28
cents for every mile he drives his car. How much does it cost him (in dollars) a week to drive his car if he travels 315 miles a week?

Answers

I can use the equation .28(m) to solve this problem. If we plug in our numbers, we will get .28(315). This will give us 88.2. 88.2 is $88.2 dollars. Therefore, it costs him $88.2 dollars a week.

What is the equation of the line that passes through (-1, 5) and (3, -7)?

Answers

Answer:

[tex] 3x + y = 2 [/tex]

Step-by-step explanation:

[tex] y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1) [/tex]

[tex] y - 5 = \dfrac{-7 - 5}{3 - (-1)}(x - (-1)) [/tex]

[tex] y - 5 = \dfrac{-12}{4}(x + 1) [/tex]

[tex] y - 5 = -3(x + 1) [/tex]

[tex] y - 5 = -3x - 3 [/tex]

[tex] 3x + y = 2 [/tex]

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