A BUNDLE OF ROOD SHINGLES HAS 33 1/3 SQ FT IN A BUNDLE. IF A CUSTOMER NEEDS TO COVER 2,750 SQ FT, HOW MANY BUNDLES WILL YOU NEED TO SALE? YOU CANNOT SELL PARTIAL BUNDLES

Percentage decrease is the amount by which a given number is decreased expressed as a percentage.

Reasons:

The percentage by which the number was decreased = 10%

The number is decreased by 10%

Let x represent the number, we have;

New remainder after first decrease = x -  10% × x = x - 0.1·x = 0.9·x

Decreasing the new number by 10% gives;

Second new number = 0.9·x - 0.09·x = 0.81·x

The percentage by which the number is decreased = x - 0.81·x = 0.19·x

The percentage by which the number is decreased = 19%

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Answer:

F =672

Step-by-step explanation:

joint variation is of the form

F = k *q1 * q2

Inversly means divide

F = k * q1 * q2

     -------------------

              d^2

We know  F=8 when q1=2, q2=8, and d=4  so we can solve for k

8 = k * 2*8

    -----------------

          4^2

8 = 16k

     ----

     16

8 = k

Substituting

F = 8 * q1 * q2

     -------------------

              d^2

Let q1=28, q2=12, and d=2

F = 8 * 28 * 12

   ----------------

    2^2

F = 2688

      -------

         4

F =672

We are given:

F varies jointly (directly) with q1 and q2, which means that F is proportional to both q1 and q2. also,

F varies inversely with d², so F is inversely proportional to the square to d

Finding a mathemetical experssion:

using the above information, we can say that:

F ∝ q₁

F ∝ q₂

F ∝ 1/(d²)

joining these together, we get:

F ∝ q₁q₂ / d²

let's say that 'k' is the constant of proportionality in this case,

F = k (q₁q₂ / d²)

First case:

F = 8, q₁ = 2, q₂ = 8, d = 4

we can use these values in our expression to find k

[tex]8 = k\frac{2*8}{4^2}[/tex]

[tex]8 = k\frac{16}{16}[/tex]

k = 8

Finding F in the second case:

q₁ = 28, q₂ = 12, d = 2, k = 8

[tex]F = k\frac{q_{1}*q_{2}}{d^2}[/tex]

[tex]F = 8(\frac{28*12}{2^2})[/tex]

[tex]F = 8(\frac{336}{4})[/tex]

[tex]F = 2(336)[/tex]

F = 672 N

Answer:

[tex]\displaystyle \int {2 \tan (2x + \pi)} \, dx = - \ln \big| \cos (2x + \pi) \big| + C[/tex]

General Formulas and Concepts:

Calculus

Differentiation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Derivative Property [Addition/Subtraction]:                                                         [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]

Basic Power Rule:

Integration

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

U-Substitution

Trigonometric Integration

Step-by-step explanation:

Step 1: Define

Identify.

[tex]\displaystyle \int {2 \tan (2x + \pi)} \, dx[/tex]

Step 2: Integrate Pt. 1

Step 3: Integrate Pt. 2

Identify variables for u-substitution.

Step 4: Integrate Pt. 3

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

Unit: Integration

Step-by-step explanation:

Thereafter,

Distance :-

Time :-

Average Speed :-

Answer:

x = 29

Step-by-step explanation:

These angles are vertical angles which mean that they're equal to each other:

2x - 24 = x + 5

2x - x = 5 + 24

x = 29

Answer:

it is a b and c

Step-by-step explanation:

6 and 10. 6*10=60 10-6=4

Answer:

So, if the graph is a straight line,it is the graph of linear function. From a table, you can verify a linear function by examining the x and y values. The rate of change of y with respect to x remains constant for a linear function.

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Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

prob. that first spin will land on blue = 1/4

prob. that the second spin will land on yellow = 2/8

= 1/4 * 2/8 = 1/16  

Step-by-step explanation: −913−(−113)

=−913−(−113)

=−913+113

=−800

Answer:

what

Step-by-step explanation:

Answer:

Appologies but Why do you have pOn open?

Step-by-step explanation:

umm that is inapropriate but idrc

Answer:

multiply them by a a number that allows the denominators to be the same

Step-by-step explanation:

example

1/2-1/6

I would multiply 1/2 by 3 to get 3/6 which i could then subtract from 1/6

3/6-1/6 = 2/6

Answer:

y = - 1/7x - 7

Step-by-step explanation:

Given equation ,

=> y = -1/7 - 2

On comparing to slope intercept form of the line we get the slope as -1/7

Now as we know that the slope of two parallel lines are same . So the slope of parallel line will be -1/7 .

Using point slope form ,

=> y - 6 = -1/7( x -7)

=> y -6 = -1/7x +1

=> y -7 = -1/7x

=> y = -1/7x -7

Answer:

Option B) 13 is correct

Step-by-step explanation:

Hi how u doin ?

[tex] log( \frac{x}{x + 1} ) = \\ [/tex]

[tex] log(x) - log(x + 1) [/tex]

Have a great day ❤

Answer: f(-9)

Step-by-step explanation:

A function is described in the form of f(x)

Therefore, if this is how a function is stated we have x as the input.

Here, the x is equal to -9

So now:

f(-9) after substitution.

Answer:

1

Step-by-step explanation:

2/7+5/7=7/7=1 because 7/7 would be a 1 whole

Answer:

35/7

Step-by-step explanation:

4 = 28/7

28/7 + 2/7 + 5/7 = 35/7

Answer:

25

Step-by-step explanation:

turn 68% into a decimal (or keep as a percentage, your choice) and divide

17 divided by 0.68 (68% as a decimal) = 25

Answer:

-15

Step-by-step explanation:

5 * -3 = -15

x = -3

5x = 5(-3)

5(-3) = -15

Answer:

Step-by-step explanation:

a) It has 3 terms.So,  trinomial

b) It has one term. So, monomial

c) It has two terms. So, Binomial

d) It has 3 terms.So,  trinomial

e)  -9x - 2 + 3x = -9x + 3x - 2 = -6x - 2

It has 2 terms.So, binomial

f) It has 2 terms.So,  binomial

Answer:

(7,5) not solution for 2x+y

Step-by-step explanation:

2(7) + 5 =19 which is not 5,

possible answer for X/Y

(0,5)

(7,-9)

Answer:

the answer for that is :

x = 7

Answer:

x=7

Step-by-step explanation:

3(x-4)+2x=23

3x-12+2x=23

5x-12=23

23+12=35

35/5=7

Answer:

262.25 $

Step-by-step explanation:

Answer:

EF

Step-by-step explanation:

I think the answer is EF because turning the line counterclockwise and 80 degree angle would be that.

Answer:

Step-by-step explanation:

I think it is A

Answer:

D

Step-by-step explanation:

This is because the inequality has to show that x is greater than 1, and since the circle is filled, that means that it also has to equal 1. Therefore the symbol is > with the line below it.