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Answer:

10 small rafts

Step-by-step explanation:

(1600- 1200) / 40 = 10

1600- 1200 = 400

400 / 40 = 10

12 large rafts costs $1200 so subtract that amount from you budget. If you do that you will have $400 left. So I divided $400 by the amount of money each small raft cost whitch was $40 per small raft so i got the quotient of 10.

Sorry if i worded that weirdly but you get the point.

P.s sorry if it isn't comlety correct but i did my best so... ya

Answer:

Revenue = 1020x  +  118y

Step-by-step explanation:

Revenue = 1020x  +  118y

This is an important question to understand. You will use it very shortly when you try and solve 2 equations with 2 unknown. Just to show you what that means, Suppose the revenue is

Revenue = 5808

and 11 items total were sold

x + y = 11                          Total number of items sold

1020x + 118y= 5808        Revenue

is the kind of problem you will be solving.

Step-by-step explanation:

a computer sell for $1020

x computer will sell for $1020x

a hard drive sell for $118

y hard drive will sell for $118y

The revenue equals $1020x + $118y

Answer:

Step-by-step explanation:

From the given information:

[tex]a_n = a_{n-1} + a_{n-2}; \ \ \ n \ge 2 \\ \\ a_o = 1 \\ \\ a_1 =1 \ \ \ \ \ since \ \ a_o = a_1 = 1[/tex]

A)

[tex]a_n - a_{n-1} - a_{n-2} = 0 \\ \\ \implies \sum \limits ^{\infty}_{n=2}(a_n -a_{n-1}-a_{n-2} ) x^n = 0 \\ \\ \implies \sum \limits ^{\infty}_{n=2} a_nx^n - \sum \limits ^{\infty}_{n=2} a_{n-1}x^n - \sum \limits ^{\infty}_{n=2}a_{n-2} x^n = 0 \\ \\ \implies (a(x) -a_o-a_1x) - (x(a(x) -a_o)) -x^2a(x) = 0 \\ \\ \implies a(x) (1 -x-x^2) -a_o-a_1x+a_ox = 0 \\ \\ \implies a(x)(1-x-x^2)-1-x+x=0 \\ \\ \implies a(x) (1-x-x^2) = 1[/tex]

[tex]\mathbf{Generating \ Function: a(x) = \dfrac{1}{1-x-x^2}=f(x)}[/tex]

B)

[tex]If \ \ 1 -x-x^2 = (1 - \alpha x) ( 1- \beta x) \\ \\ \implies 1 -x - ^2 = 1 + \alpha \beta x^2 - ( \alpha + \beta )x \\ \\ \text{It implies that:} \\ \\ \alpha \beta = -1 \\ \\ \alpha + \beta = 1 \\ \\ \implies \alpha = ( 1-\beta) \\ \\ ( 1- \beta) \beta = -1 \\ \\ \implies \beta - \beta^2 = -1 \implies \beta - \beta^2 -1 = 0\\ \\ \beta = \dfrac{-(-1) \pm \sqrt{(-1)^2 -4(1)(-1)}}{2(1)}[/tex]

[tex]\beta = \dfrac{1\pm \sqrt{5}}{2} \\ \\ \beta = \dfrac{1 + \sqrt{5}}{2} \ \ and \ \ \alpha = \dfrac{1 - \sqrt{5}}{2}[/tex]

C)

[tex]\dfrac{1}{1-x-x^2}= \dfrac{A}{1-\alpha x}+ \dfrac{\beta}{1-\beta x} \\ \\ = \dfrac{A(1-\beta x) + B(1-\alpha x)}{(1-\alpha x) (1 - \beta x)} \\ \\ = \dfrac{(A+B)-(A\beta+B\alpha)x}{(1-\alpha x) (1-\beta x)}[/tex]

[tex]\text{It means:} \\ \\ A+B=1 \\ \\ B = (1-A) \\ \\ A\beta+ B \alpha =0 \\ \\ A\beta ( 1 -A) \alpha = 0 \\ \\ A( \beta - \alpha ) = -\alpha \\ \\ A = \dfrac{\alpha}{\alpha - \beta } \\ \\ \\ \\ B = 1 - \dfrac{\alpha }{\alpha - \beta} \implies \dfrac{\alpha - \beta - \alpha }{\alpha - \beta } \\ \\ =\dfrac{-\beta }{\alpha - \beta} \\ \\ \mathbf{B = \dfrac{\beta }{\beta - \alpha }}[/tex]

D)

[tex]\text{The formula for} a_n: \\ \\ a(x) = \dfrac{\alpha }{\alpha - \beta }\sum \limits ^{\infty}_{n=0} \alpha ^n x^n - \dfrac{\beta}{\beta - \alpha }\sum \limits ^{\infty}_{n=0} \beta x^n \\ \\ \implies \sum \limits ^{\infty}_{n =0} \dfrac{\alpha ^{n+1}- \beta ^{n+1}}{\alpha - \beta}x^n \\ \\ a_n = \dfrac{\alpha ^{n+1}- \beta ^{n+1}}{\alpha - \beta } \\ \\ \\ a_n = \dfrac{1}{\sqrt{5}} \Big (\Big( \dfrac{\sqrt{5}+1}{2}\Big)^{n+1}- \Big ( \dfrac{1-\sqrt{5}}{2}\Big) ^{n+1}\Big)[/tex]

Answer:

x = 10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 2x - 5

f(x) = 15

Step 2: Solve for x

The next point she plots on the graph is (2,9)

The function is given as:

f(x) = 25(Three-fifths)^x

Rewrite properly as:

f(x) = 25(3/5)^x

The first point has an x value of 1.

So, the next would be x = 2

This gives

f(2) = 25(3/5)^2

Evaluate the product

f(2) = 9

So, we have:

(2, 9)

Hence, the next point she plots on the graph is (2,9)

Read more about exponential functions at:

https://brainly.com/question/11464095

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Answer:

[tex]4x+6[/tex] units

Step-by-step explanation:

Skills needed to solve: Order of Operations, Distributive Property, Perimeter Formula, Like Terms

1) To solve this problem, you need to understand the perimeter formula, and that is:

--> [tex]P = 2(L+W)[/tex]

P = Perimeter

L = Length

W = Width

2) Based on that, we are given that:

[tex]L = x[/tex] (since the length is x)

[tex]W = x+3[/tex] (since the width is x+3)

3) After that, we substitute in the values:

[tex]P = 2(L+W)[/tex]

[tex]P = 2(x+(x+3))[/tex]

[tex]x + (x+3) = x+x+3 = 2x+3[/tex] (with like terms and addition)

so: [tex]P=2(2x+3)[/tex]

Use distributive property, which is [tex]a(b+c) = ab+ac[/tex]

get: [tex]2(2x+3) = 2(2x) + 2(3)[/tex]

[tex]2(2x) = 4x[/tex]

[tex]2(3) = 6[/tex]

So: [tex]P = 4x+6[/tex]

Hope this helps and have a nice day!! :) :]

Answer:

63

Step-by-step explanation:

Answer: 63

Step-by-step explanation:

Answer:

1440ft^3

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

i already did it

Answer:

x > -20

Step-by-step explanation:

-x < 20

When dividing by negative numbers, flip the inequality.

x > -20

inclusive -> open circle

greater than -> to the right

open circle at -20 going to the right

Answer:

426.7pi

Step-by-step explanation:

V = 1/3 pi r2h

1/3 × 22/7× 8 × 8 × 20

426.7 pi

Answer: Slope means the gradient. So find the equation of the line first then graph the points on the graph.

Step-by-step explanation:

y=mx+c                 *We want m*

m=(y2-y1)/(x2-x1)

m=(0-1)/(6-3)

m=-1/3

y=-1/3x+2          *(0,2) co-ordinate means it's the y-intercept=c*

I think the slope is -1/3 and then just plt the points on the graph manually.

Answer:

a

Step-by-step explanation:

f(x)=-(x+5)(x+1)=-(x²+6x+5)=-(x²+6x+9-9+5)

=-(x+3)^2+4

Range: all numbers ≤4

Answer:

15/22

Step-by-step explanation:

The length of segment A'B' from the triangle A'B'C' is 6 units.

Given that, triangle A'B'C' is the image of ABC under a dilation with a scale factor of 2.

In the given triangle ABC, AB=3 units

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

2=Dimensions of the new shape/3

Dimensions of the new shape=6 units

Therefore, the length of segment A'B' from the triangle A'B'C' is 6 units.

To learn more about the scale factor visit:

https://brainly.com/question/22312172.

#SPJ1

Answer:

Did u ever get the answer to this?

Step-by-step explanation:

Answer:

Step-by-step explanation:

It’s 20

Answer:

m∠4 = m∠1 + m∠3

Step-by-step explanation:

The measure of an exterior angle of a triangle is equal to the sum of its two opposite interior angles

Now, examining the given triangle, we can note that:

∠4 is an exterior angle

∠1 and ∠3 are its two opposite interior angles

Based on the givens and the above theorem, we can conclude that:

m∠4 = m∠1 + m∠3

Hope this helps :)

Answer:

her answer is correct please

Answer:

Last one

Step-by-step explanation:

Answer:Analyze the results of the correlation using the given residual plot.

Residual

Step-by-step explanation:

Answer: this my graph

Step-by-step explanation:

Answer:

0.0011 = 0.11% probability of selling less than 3 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either they are sold, or they are not. The chance of selling any one property is independent of selling another property. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

A real estate agent has 17 properties that she shows.

This means that [tex]n = 17[/tex]

She feels that there is a 50% chance of selling any one property during a week.

This means that [tex]p = 0.5[/tex]

Compute the probability of selling less than 3 properties in one week.

This is

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{17,0}.(0.5)^{0}.(0.5)^{17} \approx 0[/tex]

[tex]P(X = 1) = C_{17,1}.(0.5)^{1}.(0.5)^{16} = 0.0001[/tex]

[tex]P(X = 2) = C_{17,2}.(0.5)^{2}.(0.5)^{15} = 0.0010[/tex]

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0 + 0.0001 + 0.0010 = 0.0011[/tex]

0.0011 = 0.11% probability of selling less than 3 properties in one week.

Answer:

12 cm^2

Step-by-step explanation:

Answer:

each book costs $34

Step-by-step explanation:

assuming that all the books cost the same,

253-15=238

238/7=34

Answer: Each book cost $34.

Step-by-step explanation:

First subtract 253-15.

253-15=238.

Then divide 238/7.

238/7=34

Hope this helps :)

Answer:

(6³×2^6)÷2³=6³×2^(6-3)=6³×2³=(6×2)³=12³is your answer(1728)

Answer:

22 gallons

Step-by-step explanation:

280 miles / 56 gallons = 5 miles per gallon

110 miles/5 mpg = 22 gallons

Answer:

8.31

8.3

8.301

8.03

8.031

I think that's the answer.. not sure th

Answer:

Step-by-step explanation:

perimeter = 4(10x) = 40x units

if x = 12, perimeter = 480x units

-9-(-7)

-9--7

-9+7

7-9

-2

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hope it helps