what number should be added to 8000 to make it a perfect square

Answers

Answer 1

Answer:

100

Step-by-step explanation:

If we add 100 to 8000, get 8100 which is a perfect square: 90^2=8100


Related Questions

Which table shows a function that is increasing only over the interval(-2,1),and nowhere else?

Answers

table 1, and table 2 are the answers.

we know that any function is increasing when for an increase in x-values, y-value should also increase

we will verify each table

table-1:

we can see that

x increase as -3, -2, -1 , 0, 1,2

y is also increasing -6,-3,-1,1,3,6

so, this is increasing

table-2:

we can see that

x increase as -3, -2, -1 , 0, 1,2

but it is asking between -2 to 1

y-values are -4,-1,1,4.....which is increasing

so, this is  increasing

table-3:

we can see that

x increase as -3, -2, -1 , 0, 1,2

but y changes from -3 to -5 .....which is decreasing

so, this is not increasing

table-4:

we can see that

x increase as -3, -2, -1 , 0, 1,2

but y changes from 7 to 1 .....which is decreasing

so, this is not increasing

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2. The Kenya Seed Company sold 6 460 t 760 kg of maize seeds to 95 farmers. The farmers bought equal masses of seeds. What mass of seeds did each farmer buy? fond his cous in equal​

Answers

Using proportions, it is found that each farmer bought 68,008 kg.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Each t has 1000 kg, hence the amount of maize seeds in kg is given as follows:

6460 x 1000 + 760 = 6,460,760 kg

The amount per farmer is:

6,460,760/95 = 68,008 kg.

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The wall around a playground is 410 m.if one wall along the length is 80 m what is the length of the wall along the breadth what is the area of playground.

Answers

The length of the wall = 125m

The area of the Playground = 10000[tex]m^{2}[/tex]

What is geometry?

A branch of mathematics that broadly deals with the measurement, properties, and connections of points, lines, angles, surfaces, and solids: the investigation of qualities of given elements that hold true even after being subjected to predetermined transformations.

Given data:

Perimeter of the playground=410m

length of the wall = 80m

The playground's width can be calculated as follows if its length is 80 meters:

(Formula of Perimeter of a rectangle)

P=2(L+B)              

410=2(80 +B)

410= 160 + 2B

2B= 410-160

2B= 250

B= 125 m

This results in a 125 m length for the playground.

The area of playground.

Area = Length x Width

Area = 80 x 125

area = 10000[tex]m^{2}[/tex]

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Practice with Laws of Logic
Provide the valid conclusion to the argument below.
If I am sick, then I will not come to school.
If I do not come to school, then I am sad.

Answers

Answer:

if I am sick, then I will not come to school.

Step-by-step explanation:

please help me !! due today:(

Answers

Answer:

[tex]\huge\boxed{\sf x = 65 \textdegree}[/tex]

Step-by-step explanation:

Using trigonometric ratio cos.

Here,

Theta = θ = xAdjacent = 12Hypotenuse = 28Finding x:

[tex]\displaystyle cos \theta =\frac{adjacent}{hypotenuse} \\\\cos \ x =\frac{12}{28} \\\\cos \ x = 0.43\\\\x = cos^{-1} 0.43\\\\x = 65 \textdegree\\\\\rule[225]{225}{2}[/tex]

What's 2 divided by X

Answers

Answer:

2/x

Step-by-step explanation:

Find the measure of angle C.
D
118°
C

Answers

The answer to C is 118 because it’s a vertical angle

The measurement of angle C in the given figure is 118°.

Given that are two lines intersecting at a point making 4 angles, 118°, C, D and B.

B and D are opposite to each other and C and 118° are opposite to each other.

We need to find the measurement of angle C.

To find the measurement of angle C, we can use the concept of vertical angles.

Vertical angles are a pair of non-adjacent angles formed when two lines intersect.

They are always congruent, meaning they have the same measure.

In this case, angle 118° and angle C are vertical angles. So, their measures are equal:

Angle C = 118°

Therefore, the measurement of angle C is 118°.

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Jim is designing a seesaw for a children's park. The seesaw should make an angle of 30° with the ground, and the maximum height to which it should rise is 1 meter, as shown below:

A seesaw is shown with one end on the ground and the other in the air. The seesaw makes an angle of 30 degrees with the ground. The height of the seesaw from the ground, at the other end, is labeled 1 meter.

What is the maximum length of the seesaw?

1.4 meters
2 meters
0.5 meters
1 meter

Answers

Based on the angle of the seesaw and the height off the ground, the maximum length of the seesaw is 2 meters.

What is the seesaw's maximum length?

This can be found as:

Sin 30° = 1 / Maximum length

Solving gives:

Sin 30° = 1 / Maximum length

Ml = 1 / Sin 30°

= 1 / 0.5

= 2 meters

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Yasmin designed a square table using a scale drawing. The actual length of each side was 4 feet and the scale factor was 1 inch : 2 feet. Choose the figure with the new side length if Yasmin changed the scale factor to 1 inch : 3 and two-thirds feet.

Answers

The figure with the new side length if Yasmin changed the scale factor to 1 inch : 3 and two-thirds feet is a square with side lengths of 7 and one third feet.

How to calculate the length?

From the information given, the actual length of each side was 4 feet and the scale factor was 1 inch : 2 feet.

The new length will be:

= 2 × 3 2/3

= 7 1/3

Therefore, the new length is 7 1/3 feet.

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A square has a side of length 2xcm. in terms of X, what is the area

Answers

Answer:

4x^2

Step-by-step explanation:

2x(2x) It is a square so we multiply the side by the side to get the area.

=2*x*2*x

=4*x2

=4x^2

WILL MAKE BRAINLIEST!!Determine if two triangles are congruent if they are state the triangle congruence statement.

Answers

Answer:

Yes they are congruent by SSS criterion Explanation:

AC=DC. (Given in figure)

AB=BD. (Given in figure

BC=BC. (Common)

that means triangle BAC is congruent to triangle BDC by SSS criterion

Pls help solve for part b)iii.

Answers

Given that the distance and angle of elevation of the tree from P are 50 m. and 32°, and Q is 100 m. from P, we have;

a. The height of the tree is approximately 31.2 m.

b. i. The distance of Q from the base of the tree is 50•√5 m.

ii. The angle of elevation of the top of the tree from Q is approximately 15.6°

iii. The bearing of the tree from Q is 296.565°

How can the distances and bearing of the tree from Q be found?

a. tan(32°) = Height/50

Height = 50 × tan(32°) = 31.243 m.

Height of the tree ≈ 31.2 m.

b. i. The distance, d, of Q from the base of the tree is given by Pythagorean theorem as follows;

d = √(100² + 50²) = 50•√5

The distance of Q from the base of the tree, d = 50•√5 m.

ii. The angle of elevation is given by trigonometric ratios as follows;

[tex]tan (\theta) = \frac{31.243}{50 \cdot \sqrt{5} } [/tex]

Which gives;

[tex]\theta= arctan \left( \frac{31.243}{50 \cdot \sqrt{5} } \right) \approx 15.6 ^{ \circ} [/tex]

The angle of elevation of the top of the tree from Q ≈ 15.6°

iii. The angle formed at Q by the lines from Q to the point P and Q to the tree is found as follows;

Angle = arctan(50/100) ≈ 26.565°

The angle between the direction north of Q and a line from Q to the tree is therefore;

90° - 26.565° = 63.435°

The bearing, which is the angle described clockwise from the direction north of Q and the direction from Q to the tree, is therefore;

Bearing = 360° - 63.435° = 296.565°

The bearing of the tree from Q = 296.565°

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Write an equation of the line that passes through (-1,3) and has a slope of 2.​

Answers

Answer: y = -2x + 1.

Step-by-step explanation:

From (-1, 3) follow the line to go 1 to the right and 2 down (because the slope is -2). That takes you to (0, 1). So the y-intercept is 1 and the equation is y = -2x + 1.

Which of the following best describes the sums of ax^2+bx+c and mx^2+nx+p where x is a variable and a, b, c, m, n, and p are integers?

A) the sum is a constant
B) the sum is a polynomial
C) the sum is an exponential expression
D) nothing can be determined about the sum without more information

Answers

The statement best describes the sums of ax^2+bx+c and mx^2+nx+p where x is a variable and a, b, c, m, n, and p are integers is a polynomial

Sum of Polynomial expression

Polynomial expression are equation that has a leading degree of 2 and above. For instance the following expressions are polynomials.

ax^2+bx+c and;

mx^2+nx+p

Take the sum of the polynomials

P(x) =. ax^2+bx+c

f(x) = mx^2+nx+p

Since both expressions are quadratic in nature, hence the sum will result in a polynomial that is quadratic in nature.

Based on the explanation above, we can conclude that the statement best describes the sums of ax^2+bx+c and mx^2+nx+p where x is a variable and a, b, c, m, n, and p are integers is a polynomial

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On a number line, point D is at -3, and point E Is at 6. The point F lies on DE. The ratio of Df to FE ls 2:3. Where does point F lie on the
number line?
Point F is at
. All rights reserved.
on the number line.
Helppp me please

Answers

The point F as described in the task content is at point; 0.6 on the number line.

Where does point F lie on the number line?

Since it follows from.tge task content that; point D is at -3, and point E Is at 6, it follows that the length of segment, DE is; |-3-6| = 9.

Consequently, since the ratio of Df to FE ls 2:3

It follows that point F is at -3 + (2/5) × 9.

Point F is therefore at 0.6 on the number line.

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Mrs karki purchased a sari for rs 8000 and sold it for Rs 11300 with 13% VAT , find her profit and loss percent.​

Answers

The profit Mrs karki made from the Sari she sold at RS 11300 was 28.25%

What is an equation?

An equation is an expression that shows the relationship between two numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.

VAT = 13% = 0.13 * 8000 = 1040

Selling price - VAT = 11300 - 1040 = 10260

Profit = [(10260 - 8000)/8000] * 100% = 28.25%

The profit Mrs karki made from the Sari she sold at RS 11300 was 28.25%

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Find a linear differential operator that annihilates the given function. (Use D for the differential operator.) 4 ex cos 3x

Answers

If the function is

[tex]y = 4 e^x \cos(3x)[/tex]

then we have derivatives

[tex]Dy = 4 e^x \cos(3x) - 12 e^x \sin(3x)[/tex]

[tex]D^2y = -32 e^x \cos(3x) - 24 e^x \sin(3x)[/tex]

Now consider the linear ODE

[tex]aD^2y + bDy + cy = 0[/tex]

Substituting [tex]y[/tex] and its derivatives reduces the equation to

[tex](-32a + 4b + 4c) \cos(3x) + (-24a - 12b) \sin(3x) = 0[/tex]

Now,

[tex]-24a - 12b = 0 \implies b = -2a[/tex]

[tex]-32a + 4b + 4c = 0 \implies c = 10a[/tex]

Then the minimal ODE with the given solution is

[tex]aD^2y -2a Dy + 10ay = 0[/tex]

or

[tex]\boxed{D^2y  -2 Dy + 10y = 0}[/tex]

There are 400 beads in a box. 20% of them are red, 35% of them are yellow and the rest are green. How many green beads are there in the box

Answers

Step-by-step explanation:

400 is the whole = 100%

20% (= 20 out of 100 equal parts of 100%) are red.

how many are that ?

well, again, 400 = 100%

1% = 100%/100 = 400/100 = 4

20% = 20×1% = 20×4 = 80

when you combine these 2 steps, you see you get 20% by multiplying the 100% by 20/100 or 0.20.

400 × 0.2 = 80

now,

35% are yellow.

35% = 35×1% = 35×4 = 140

or

400×0.35 = 140

red + yellow = 80 + 140 = 220

the rest are green

400 - 220 = 180

we would get this also by seeing that

red + yellow = 20% + 35% = 55%.

so, green has then the remaining 100-55 = 45%

and again

45% = 45×1% = 45×4 = 180

or

400×0.45 = 180

Answer is 180 green beads
Step by step
Out of 100%, 20% are red and 35% are yellow.
That means 100% - 20% - 35% = 45% are green.
We can multiply 400 beads x 45% to get how many are green ( 45% is the same as .45)

400 x .45 = 180 are green

To check your work,
You already know green beads = 180
Multiply 400 x 20% red beads = 80
Multiply 400 x 35% yellow beads = 140


Add all together 140 + 80 + 180 = 400 beads!
Problem solved.

Graph the quadratic function by transforming the graph of f(x) = x^2. Give the minimum or maximum
vertex value and the equation for the axis of symmetry.

Answers

For the function g(x) we have:

Maximum y = 5Vertex (-2, 5)Axis of symmetry: x = -2.

How to find the graph of g(x)?

The function g(x) is given by applying transformations to f(x), the transformations are:

A reflection: g(x) = -f(x)A translation of 2 units to the left: g(x) = -f(x + 2)A translation of 5 units up: g(x) = -f(x + 2) + 5

The function is:

[tex]g(x) = -(x + 2)^2 + 5[/tex]

The graph is the one you can see below:

There you can see that the vertex is at (-2, 5), then the line of symmetry is:

x = -2.

And we have a maximum at the vertex, which is y = 5.

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what formula would i need to use to graph the relationship of volume of surface area of a cylinder?

Answers

The formula is illustrated below:

Volume of cylinder = πr²hSurface area = 2πrh + 2πr²

How to illustrate the information?

It should be noted that a cylinder simply means a three dimensional solid which holds two parallel bases that are joined by a curved surface.

In this case, it can be seen that the formula that can be used to calculate the volume and the surface area of the cylinder is illustrated above.

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What is the equation I'm supposed to write?

Answers

The equation in slope intercept form is y = -4x/3 + 10

How to determine the equation?

The representations are given as:

x represents peachesy represents apples

So, we have:

2 * x + 1.5 * y = 15

Evaluate the product

2x + 1.5y = 15

Subtract 2x from both sides

1.5y = -2x + 15

Divide through by 1.5

y = -4x/3 + 10

Hence, the equation in slope intercept form is y = -4x/3 + 10

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Que tanto por ciento es 20 de 80

Answers

Answer:

Step-by-step explanation:

40 por ciento

Please help me solve this, random answers will be removed

Answers

[tex]ac {}^{2} = cb {}^{2} + ba {}^{2} - 2(cb)( ba)(cos \alpha ) \\ ac {}^{2} = 21 {}^{2} + 26 {}^{2} - 2(21)(26)(cos112) \\ ac {}^{2} = 441 + 676 - 1092(cos112) \\ ac {}^{2} = 1526.07 \\ ac = 39.065[/tex]

Answer:

Step-by-step explanation:

suppose you are performing an experiment where you randomly assign people to one of three experimental conditions

Answers

The analysis which would be most appropriate for randomly assign people to one of three experimental conditions (Treatment A, Treatment B, Control) are-

ANOVAthe general linear modelWhat is ANOVA?

A statistical test called an analysis of variance, or ANOVA, is used to compare the means of more than two groups.

One independent variable is used in a one-way ANOVA, while two independent variables are used in a two-way ANOVA.A statistical technique called analysis of variance, or ANOVA, divides observed variance data into various components for use in further testing. When there are three or more data groups, a one-way ANOVA is used to find out how the dependent and independent variables are related.What is general linear model?

A helpful framework for analysing how various variables affect various continuous variables is the general linear model (GLM).

GLM generalises the ANOVA's linear model by enabling any other kind of resual distribution id(and optimises the likelihood function, which only allows a t-test based on an estimated error of the coefficients). An GLM is therefore an ANOVA, but a GLM is not exclusively a GLM.

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The complete question is -

Suppose you are performing an experiment where you randomly assign people to one of three experimental conditions (Treatment A, Treatment B, Control). Which analysis would be most appropriate?

From the given graph, use two points to write an equation in point-slope form and then
change to slope-intercept form.
Step 1: Use the two points to find the slope.
Step 2: Use the slope and one point to complete point-slope form.
y-y₁ = m(x-x₁)
Step 3: Change point-slope form into slope intercept form by solving for y. Show your
work!
y=mx+b

Answers

Step 1

Using the points (2,0) and (-2, -3), we get the slope is

[tex]\frac{-3-0}{-2-2}=\frac{3}{4}[/tex]

Step 2

Using the point (2,0), the equation is

[tex]y=\frac{3}{4}(x-2)[/tex]

Step 3

Using the distributive property, we get [tex]y=\frac{3}{4}x-\frac{3}{2}[/tex].

BP = _______ BC = ________ 13. AP = 3.5, PD = 6, PC = 4

Find BP and BC.

Answers

The measure of the length BP and BC are 6 and 10 respectively

Circle theorem

The given figure is a circle containing two chords AD and BC. From the given diagram, the following are true

AP = PC

BP = PD

BC = BP + PC

Circle theorem includes the concept of tangents, sectors, angles, the chord of a circle and proofs. A circle is the locus of all points in a plane which are equidistant from a fixed point.

Given the following parameters

AP = 3.5,

PD = 6,

PC = 4

According to the expression above;

BP = PD = 6

BC =  BP + PC

BC = 6 + 4

BC = 10
Hence the measure of the length BP and BC are 6 and 10 respectively

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y
T
N
9
6
U
3
M
What is the value of y?
3√3 units
6√3 units
O
9√3 units
O 12√3 units

Answers

The value of y from the given figure is 6√3

Pythagoras theorem

From the given figure, according to the theorem;

H² = 6² - 3²

H² = 36 - 9

H²  = 27

H = 3√3

Determine the value of y using the same theorem;

y² = 9² + ( 3√3

y² = 81. + 27

y = √108

y = 6√3

Hence the value of y from the given figure is 6√3

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A sweatshirt costs $48 at Hollister. The sales tax rate is 7%. How much will it cost to buy the sweatshirt?

Answers

Answer:

$ 51.36

Step-by-step explanation:

To find the sales tax multiply the tax rate by the cost of the product and then add to the cost.

Sales tax = tax rate * cost price

              = 7% * 48

              = 0.07 * 48

              = $ 3.36

Cost price = cost of product + sales tax

                 = 48 + 3.36

                 = $ 51.36

48 x 7% = 84/25 or 3.36
=> Total price = 48 + 3.36
= 1284/25 or 51.36

Which expression illustrates the associative property of addition? (3 19) – 12 = (3 12) – 19 3 (19 – 12) = 3 (19 12) (3 19) – 12 = 3 (19 – 12) 3 (19 –12) = 3 – (19 12)

Answers

Answer:

Associative Property

For multiplication, the rule is "a(bc) = (ab)c"; in numbers, this means 2(3×4) = (2×3)4.

Answer:
3rd Option!

Step-by-step explanation:

EDGE 2022; good luck

I need help with this!!

Answers

Answer: $18.51

Step-by-step explanation:
1015cm^3/7.95cm^3/g = 127.67g

127.67g/1000g = .128

.128*$.29 = $.037

$.037*500 = $18.51

Answer:

$1170

Step-by-step explanation:

1. We know that each steel part has a volume of 1015 cubic centimeters, and the machinist wants to make 500 of these. Then the total volume of the steel part the machinist will make will be 1015 x 500.

--> 1015 x 500

--> 507500 cubic centimeters.

2. The density of the steel part is 7.95 grams per one cubic centimeter. Then the total density of the 500 steel parts will be 507500 x 7.95.

--> 507500 x 7.95

--> 4,034,625 grams.

3. For every kilo of steel part, the cost is $0.29. We should first change the 4,034,625 gram to kilo. Since 1000 grams is a kilo, we divide 4,034,625 by 1000.

--> 4,034,625 grams / 1000 = 4034.625 kilograms.

Now we multiply 4034.625 by 0.29 to find the total cost.

--> 4034.625 x 0.29

--> 1170.04125.

Since the question specifically asked to round it to the nearest dollar, our final answer becomes $1170.

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The amount of taxes paid or payable (or refundable) for the year as determined by applying the enacted tax law to the taxable income or excess of deductions over revenues for that year.OPTIONS:Permanent DifferencesTemporary DifferencesDeferred Tax AssetDeferred Tax LiabilityDeferred Tax Expense or BenefitCurrent Tax LiabilityFuture Taxable AmountCurrent Tax Expense or BenefitIncome Tax Expense or BenefitFuture Deductible Amount mr. all has sally, a student with asd, in his sixth-grade classroom. using social stories and aba components, mr. all taught sally how to introduce herself to her peers in the classroom. sally has repeatedly practiced this skill with her peers. now, mr. all has sally using the same introduction skills with new people in different school settings. what use of aba does this reflect? determine the initial acceleration of the 10-kg smooth collar. the spring has an unstretched length of 1 m. steph curry's free throw rating is approximately 88%. suppose curry completes 15 free throws in a row. what is the probability he completes his next free throw? A flat-bottomed barge loaded with coal has a mass of 4.80 105 kg. The barge is 20.0 m long and 10.0 m wide. It floats in fresh water. What is the depth of the barge below the waterline? determine the general solution of x = (1 1 1 1 ) x Conversion of 2PG to PEP is catalyzed by a/an: O Dehydratase O Phosphorylase O kinase O Isomerase A cycling race is 17 miles long. The cyclists will begin at point S and ride a number of laps around a neighborhood block. After the last lap, the cyclists will sprint 2. 0 miles to the finish line. A rectangle with a width of 0. 75 miles and height of 0. 5 miles. The 2 mile finish comes out of one corner. Using the equation w (1. 5 1) 2 = 17, the races organizer determined the cyclists will need to ride 9 laps before the sprint to the finish. Which explains the error? The equation should be 0. 75 w 0. 5 w 2 = 17, and the cyclists will need to ride 12 laps before the sprint to the finish. The equation should be 2 (0. 75 w 0. 5) 2 = 17, and the cyclists will need to ride 21 laps before the sprint to the finish. The solution should be 6, and the cyclists will need to ride 6 laps before the sprint to the finish. The solution should be 8, and the cyclists will need to ride 8 laps before the sprint to the finish. The CO ligands in the molecule Ni(CO)4 could have two possible geometries a tetrahedral arrangement of carbon monoxides around the central nickel atom, or a square planar geometry in which all of the atoms are in the same plane and all of the C-Ni-C angles are 90. For each geometry, determine the following:(a) What is its point group?(b) Write the reducible representation for the C-O stretching vibrational modes. (Hint: For the square planar form, C2' and sv pass through CO ligands, whereas C2" and sd are between them.)(c) Use the reduction formula to determine the irreducible representations for the C-O stretching vibrational modes.(d) Which of the C-O stretching vibrational modes are allowed in the infrared spectrum, and how many absorptions could potentially be observed?(e) Which modes are allowed in the Raman spectrum, and how many emissions could potentially be observed?For the square planar geometry:(e) Write the reducible representation for all of the atomic motions for Ni(CO)4.(f) Use the reduction formula and the character table to determine the irreducible representations for the vibrational modes only.(g) Which of the vibrational modes are allowed in the infrared spectrum, and how many absorptions could potentially be observed?(h) Which modes are allowed in the Raman spectrum, and how many emissions could potentially be observed?Please help I have no idea how to do this! If preble had purchased 186,000 pounds of materials at $6.80 per pound and used 175,000 pounds in production, what would be the materials quantity variance for march? Which of the following is not a potential problem of using more nuclearenergy?OA. Most nuclear plants can only operate for 30 - 40 years.OB. Cost to build a nuclear plant is very highOC. Spent nuclear fuel is dangerous if handled wrongOD. The cost of nuclear fuel is very low compute the probabilities that there is no birthday collision among t people for t = 10, 25, 40. Find the angle r between the reflected ray and the vertical. Express the angle between the reflected ray and the vertical in terms of and a. a plot of the number of neutrons (n) on the y-axis vs. the number of protons (z) on the x-axis for all stable nuclides gives a curve, called the of , which can be used to predict nuclide stability. Language: HaskellWrite a function countInteriorNodes that returns the number of interior nodes in the given tree.Use the definition and Tree below below:Tree:data Tree1 = Leaf1 Int| Node1 Tree1 Int Tree1Definition:countInteriorNodes :: Tree1 -> Int Consider the following cash flows: Year Cash Flow 0 $-28,600 1 15,100 2 13,800 3 10,200Requirement 1:What is the profitability index for the above set of cash flows if the relevant discount rate is 11 percent? (Do not round intermediate calculations. Round your answer to 3 decimal places (e.g., 32.161).)Profitability indexRequirement 2:What is the profitability index if the discount rate is 16 percent? (Do not round intermediate calculations. Round your answer to 3 decimal places (e.g., 32.161).)Profitability indexRequirement 3:What is the profitability index if the discount rate is 23 percent? (Do not round intermediate calculations. Round your answer to 3 decimal places (e.g., 32.161).)Profitability index true or false? the u.s. government can set interest rates by controlling the money supply. select the correct answer below: true false create a list of partitions of n for 1 n7. use this list to compute pn for 1 n7. consider the following integral. x 5 x dx (a) integrate by parts, letting dv = 5 x dx. c (b) integrate by substitution, letting u = 5 x. What effect would rise in the supply of pakistan paper products have on the market supply of paper