Use distributive property to rewrite

1. 4(x + 9)

2. 3 (-2x + 4)

Answer:

-2/2 = -1/1 = -1

The Maclaurin series of ln(1 − x) is f(x) =  ∑xⁿ⁺¹/(n+1) + c

A Maclaurin series is a Taylor series expansion of a function about 0,

f(x) = f(0) + xf'(0) +  x²f''(0)/2! + x³f⁽³⁾(0)/3! +.... xⁿf⁽ⁿ⁾(0)/n! ...

We have been the given function

⇒ f(x) = ln(1 − x)

First, let us find the derivative of f(x) for the Maclaurin series,

f'(x) = 1/(1 − x) =  1/(1 − x)

⇒ 1/(1 − x) = 1 + x + x² + x³⋯ = ∑xⁿ  if -1< x <1

f'(x) =  ∑xⁿ  if -1< x <1

By integrating using Power Rule,

⇒ f(x) = ∫∑xⁿ  if -1< x <1 = ∑xⁿ⁺¹/(n+1) + c

Since f(0) = ln(1 − 0) = 0

So ln(1 − x) =  ∑xⁿ⁺¹/(n+1) + c

Hence, the Maclaurin series of ln(1 − x) is f(x) =  ∑xⁿ⁺¹/(n+1) + c

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Answer:

i) 36

ii) love towards nature and the environment

Step-by-step explanation:

i) 102 ÷ 3 = 34

34 + 2 = 36

Answer:

ONE

Step-by-step explanation:

Answer:

8. y = -4

Step-by-step explanation:

2 ( -2y - 6 ) + 10 = -4y + 22 + 6y

-4y - 12 + 10 = -4y + 22 + 6y

-6y = 12 - 10 + 22

-6y = 24

y = -4

Answer:

We get value of y: y = 2

Step-by-step explanation:

The points (3,5) and (2, y) are on a line with a slope of 3. Find y.​

We can find y using formula of finding slope of a line.

The formula is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We have [tex]x_1=3, y_1=5, x_2=2, y_2=y[/tex] and Slope = 3

Putting values and finding y

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\3=\frac{y-5}{2-3}\\3=\frac{y-5}{-1}\\-1(3)=y-5\\-3=y-5\\y=-3+5\\y=2[/tex]

So, we get value of y: y = 2

Shelby's new weekly wage would be £318.50  if she receives a pay increase  of 45p per hour.

What is Shelby's hourly rate based on the  weekly wage of £302.75?

Shelby's hourly rate can be determined as her weekly wage divided by the number of hours spent working per week, in essence, the hourly rate is based on the weekly wage and the number of hours since the total weekly wage can as well be determined as the hourly rate multiplied by the number of hours working per week

hourly rate=weekly wage/hours spent working per week

weekly wage=£302.75

hours spent working per week=35

hourly rate=£302.75/35

hourly rate=£8.65

her new hourly rate=£8.65+£0.45

her new hourly rate=£9.10

new weekly wage=35*£9.10

new weekly wage=£318.50

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Answer: 3

+

2

x

2

+

5

x

+

10

=

0

x

3

+

2

x

2

+

5

x

+

10

=

0

by solving for

x

x

.

x

=

−

2

,

i

√

5

,

−

i

√

5

Step-by-step explanation:hope this helps sorry it’s weird!

Answer:

multiply row × column

and in the first multiplication you should put an addition in between e.g 4×3+6×0....

Answer: C. Jamaal added 4 and 9 to the right hand side in step 4; he should have added 16 and 36. The radius is r=8.

Step-by-step explanation: edge 2020, i took one for the team boys :(

In the given conic equation, Jamaal added 16 and 36 on the left hand side. However, he added 4 and 9 on the right hand side. The radius is r = 8.

What is a general conic equation?

Ax² + Bxy + Cy² + Dx + Ey + F = 0, where x, y are variables and A, B, C, D, E, F are constant terms.

Given,

4x² + 4y² – 16x + 24y – 12 = 0

⇒ 4x² – 16x + 4y² + 24y = 12

⇒ 4(x² – 4x) + 4(y² + 6y) = 12

⇒ 4(x² – 4x) + 16 + 4(y² + 6y) + 36 = 12 + 16 + 36

⇒ 4(x² – 4x + 4) + 4(y² + 6y + 9) = 12 + 16 + 36

⇒ 4(x – 2)² + 4(y + 3)² = 64

⇒ 4(x – 2)² + 4(y + 3)² = (8)²

Therefore, the center is at (2, -3) and the radius is r = 8.

Jamaal must have added 16 and 36 on the rest hand side of the conic equation. That's the mistake Jamaal did. As a result, the value of the radius is wrong when Jamaal solved.

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Answer:

c

Step-by-step explanation:

Answer:

(3,2)

(6,4)

(7.5,5)

(9,6)

Step-by-step explanation:

Given:

Volume of peanuts = 3 c

Volume of raisins = 2 c

Find:

Proportional relationship

Computation:

Volume of peanuts : Volume of raisins

3 : 2

So,

Graph

peanuts , raisins

(3,2)

(6,4)

(7.5,5)

(9,6)

Answer:

-40

Step-by-step explanation:

I hope this helps!

Answer:

x ≈ 77.8°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use trig to find the missing angle.

Step 2: Identify Variables

From POV of x

Angle = x

Adjacent = 8

Opposite = 37

Step 3: Solve for x

Answer:

2 WEEKS 9 DOLLARS

Step-by-step explanation:

EVERY TIME MULTIPLY BY 3 WITH EACH ANSWER

3X1=3

3X3=9

3X9=27

The amount of the money deposited by Rick in 2 weeks is 9 dollars.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Rick deposits $3 into his bank account. The following week, he deposits 3 times that amount. Each week after that, he deposits 3 times the amount he did the previous week.

The amount of money deposited every week is solved as below,

3 X 1 = 3

3 X 3 = 9

3 X 9 = 27

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0.00016 is the distance of 8km if measured on a map with a scale of 1;50,000

Since the problem is in proportion, we can write it as an equation

like this,

1/50,000 = x/8

From here on we will cross-multiply

1/50,000 = x/8

50,000x = 8

x = 8/50,000

x = 0.00016

The cross multiplication method is used to solve linear equations with two variables. The method of cross-multiplication is the simplest and most straightforward way of solving linear equations in two variables. When we have a pair of variables in a linear equation, we apply this strategy.

The procedure of multiplying two fractions, p/q and r/t, by each other is known as cross multiplying or cross-multiplication. For example, p/q and r/t are two fractions that can be cross multiplied by multiplying p t and q r

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Answer:

k = 15

Step-by-step explanation:

k² = 225

k = √225

k = 15

Thus, K = 15

-TheUnknownScientist

Answer:

.09 cents

Step-by-step explanation:

1.80 divided by 20

Answer:

260 miles.

Step-by-step explanation:

First, find the unit rate (the rate which the numerator is one but the fracvtion is equivilant), in this case the unit rate would be 1/40, or 1:40. Replace the 1 in the ratio ti=o get 6.5:x. Find x. We know that the unit rate is 1:40, so multiply 6.5 by 40 to get 260. Hope this helps!

Answer:

This should be A. -4 < x < 9.

Step-by-step explanation:

Domains are the x-values. So, you would have to look at the x axis to know your x values. I'm not a 100% sure if this is that correct answer, but here's the answer to what I know.

Answer:

A. -4 ≤ x ≤ 9

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the line on the graph, our x-values span from -4 to 9. Since both are closed dot, they are both inclusive in the domain:

[-4, 9] or -4 ≤ x ≤ 9

Answer:

a line segment is an object with two endpoints , a ray is a  part of a line that has no fixed starting point

Step-by-step explanation:

Answer:

Question 1 is C

Step-by-step explanation:

Answer:

a: top right 1 top left 2 bottom left 3 bottom right 4

c: axis going horizontal is the x axis and the axis going vertical is the y axis

d: origin is the very middle and it is (0,0)

Step-by-step explanation:

In a linear regression model, the variable (or variables) used for predicting or explaining values of the response variable are known as the  independent variable. It(they) is(are) denoted by x.

The correct answer is an option (d)

For given question,

The variable that researchers are trying to explain or predict is called the

response variable. It is also sometimes called the dependent variable

because it depends on another variable.

The variable which is used to predict the response variable is known as the explanatory variable. It is also called as an independent variable because it does not depend on another variable.

In regression, the order of the variables is very important.

The explanatory variable (or the independent variable) always belongs on the x-axis. The response variable (or the dependent variable) always belongs on the y-axis.

Therefore, in a linear regression model, the variable (or variables) used for predicting or explaining values of the response variable are known as the  independent variable. It(they) is(are) denoted by x.

The correct answer is an option (d)

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Answer:

Anniversary sale price= $570

Step-by-step explanation:

Giving the following information:

Purchase cost= $400

Mar-up percentage= 90%

First, we need to calculate the "normal" selling price:

Selling price= 400*1.9= $760

Now, we can determine the anniversary sale price:

Anniversary sale price= 760 - (760*0.25)= $570

Answer:

x = 12

Step-by-step explanation:

9x = 108

x = 108 ÷ 9

x = 12

Answer:

x = 12

Step-by-step explanation:

9x = 108

x = 108 / 9

x = 12

The number of pieces that Eliana need to take out is; 100 pieces

From conversion units, we know that 1 gram (g) is equal to 1000 milligrams (mg). Thus; 1 g = 1000 mg

Now, we are told that at the post office, she learns that her card is 5 grams too heavy for a common stamp. So, she takes out some of the confetti.

However, each piece weighs 50 milligrams. Converting to grams gives us; 50/1000 = 0.05 grams

Thus, number of pieces to take out = 5/0.05 = 100 pieces

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Answer:

Growth factor is 1.2

Growth rate is 0.2

Step-by-step explanation:

Generally, we can have an exponential function as:

y = a(1 + r)^x

Where a is the initial value (y value when x = 0, which is 10)

r is the growth rate

at x = 2

14.4 = 10(1 + r)^2 •••••(i)

at x = 1

12 = 10(1 + r)^1 •••••(ii)

Divide i by ii

14.4/12 = 1 + r

1.2 = 1 + r

r = 1.2-1

r = 0.2

1 + r = 0.2 + 1 = 1.2

If the goat pen is 6 meters wide and it is 4 centimeter wide in the drawing, then Shane used 150:1 scale for drawing

Scaling is a linear transformation that enlarges or diminishes objects.

Given,

In drawing,

6 meter = 4 centimeter

600 centimeter= 4 centimeter

Divide both side by 4

150 centimeter = 1 centimeter

Hence, if the goat pen is 6 meters wide and it is 4 centimeter wide in the drawing, then Shane used 150:1 scale for drawing

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