n(n+1)+2n+1
expand and simplicity

Answers

Answer 1

Answer:

n² + 3n +1

Step-by-step explanation:

n(n+1) + 2n + 1

i) distribute n into the parantheses

= (n×n) + (n×1) + 2n + 1

= n² + n + 2n + 1

ii) collect like terms

= n² + 3n +1


Related Questions

1a) Sara sells a car that was priced at $8,500.00. If she makes a commission of 6.5%, how much will she make? *

Answers

Answer:

$552.50

Step-by-step explanation:

To find how much she will make, find 6.5% of 8500

8500(0.065)

= 552.5

So, she will make $552.50

Answer:

$552.50

Step-by-step explanation:

The formula we'll use for this is the simple interest formula, or:

[tex]I=P*R[/tex]

Where:

P is the principal amount, $8500.00.

R is the interest rate, 6.5% per year, or in decimal form, 6.5/100=0.065.

To find the simple interest, we multiply 8500 × 0.065 to get that:

The interest is: $552.50

Calculate the quotient. Use paper to show all calculations. Enter your answer in the box below.
6/7 divided by 7 1/2

Answers

Answer:

4/35

Step-by-step explanation:

1. Find 7 1/2

15/2

2. Flip 15/2

2/15

3. Multiply

12/105

4. Simplify

4/35

a boat is tied to a dock with a 25-foot rope.when the rope is pulled tight, the boat us 18 feet away from the base of the dock. the rope connects to the boat at the level of the water. what is the measure, to the nearest tenth of a degree, of x, the angle formed by the rope and the surface of the water.​

Answers

Answer:

≈ 44.0°

Step-by-step explanation:

Use trigonometry

The ratio of the adjacent side of a right triangle to the hypotenuse is called the cosine:

cos x = 18/25 = 0.72cos x = 0.72x = arccos 0.72x = 43.9455° ≈ 44.0° rounded

A triangle has a base of 16" in height of 1/8 inch what is the area?

Answers

Answer:

Area of triangle is 1 inches²

Step-by-step explanation:

We are given:

Base of triangle = 16 inches

Height of triangle = [tex]\frac{1}{8} \:[/tex] inches

We need to find:

Area of triangle

The formula used to find Area of triangle is:

[tex]Area \:of\: triangle=\frac{1}{2}\times b \times h[/tex]

where b is base and h is height.

Putting values and finding area:

[tex]Area \:of\: triangle=\frac{1}{2}\times 16 \times \frac{1}{8}\\ Area \:of\: triangle=\frac{16}{16}\\ Area \:of\: triangle=1\:inches^2[/tex]

So,  Area of triangle is 1 inches²

find the area of square if the length of its diagonal is 18 cm​

Answers

Answer:

324

Step-by-step explanation:

Add:

[tex](9x + 7) + (x + 3)[/tex]

Answers

[tex]\pink{\mathbb{\underline{QUESTION}}}[/tex]

[tex]{\bf{(9x + 7) + (x + 3)}}[/tex]

[tex]\pink{\mathbb{\underline{SOLUTION}}}[/tex]

[tex]{\bf{(9x + 7) + (x + 3)}}[/tex]

[tex]{\bf{\implies9x + 7 + x + 3}}[/tex]

[tex]{\bf{\implies9x + x + 7 + 3}}[/tex]

[tex]{\bf{\implies10x + 10}[/tex]

Hence, 10x + 10 is answer.

please help me asap!!

Answers

Answer:

25 square units

Step-by-step explanation:

Area = length x width.  The length is 5 units and the width is 5 units. So 5 x 5 = 25 square units.  

Answer:

Hmm...do 5 x 5 x 5 x 5 which equals 100

Step-by-step explanation:

5 x 5 is 25

5 x 5 is 25

5 x 5 is 25

5 x 5 is 25

25+25+25+25=100

Help please on a time crunch.........

Answers

Answer:

the last one

Step-by-step explanation:

ax2 + bx + c = 0

-2 = -x + x2 - 4

-1x + 1x2 - 2 = 0

1x2 - 1x -2 = 0

This is marked as wrong? Can anyone please correct my mistake?

Answers

Answer:

y - 0 = -⅔(x - 3)

Step-by-step explanation:

Given a point, (a, b) and slope, m, equation of the line in point-slope form can be written.

Thus:

Substitute (a b) = (3, 0), and m = -⅔ into y - b = m(x - a).

y - 0 = -⅔(x - 3) (the equation in point-slope form)

Factor the expression: 4d - 4
How do u do this plz help

Answers

Answer: 4(d - 1)

Step-by-step explanation:

both terms in 4d - 4 have a common factor: 4. pull this 4 out of both factors in order to get 4(d - 1)

jasmine purchases shoes for $50. The store charges her 8% sales tax on the purchase. If jasmine gives the store owner $60, how much change will she get back?

Answers

Answer:

$6

Step-by-step explanation:

50 x 1.08 = 54

60-54=6


If a group of distinct objects can be arranged in 120 different ways, how many objects are there?

Answers

Answer:

Step-by-step explanation:

5!=5×4×3×2×1=120

so there are 5 distinct objects.

Answer:

The correct answer is option C. 5

Step-by-step explanation:

N=120

N=5

Which expressions are equivalent to 8(-10x+3.5y-7)? Select two options.
-80x+24.5y-56
-80x+28y+56
80x+28y+56
4(-20x+7y-14)
-4(-20x+7y-14

Answers

Answer:

4(-20x+7y-14) .. only one option correct

Step-by-step explanation:

8(-10x+3.5y-7) = -80x + 28y -56

4(-20x+7y-14) = -80x +28y -56

Triangle ABC is congruent to triangle XYZ, as shown below.

Which of the following statements must be true?
(PLEASE HELP IF YOU CAN I WILL GIVE YOU 10 POINTS.)

Answers

Answer:

the first answer

Step-by-step explanation:

if a and x are the same and a has an angle of 45 degrees that means that x has an angle of 45 degrees

The required condition that must be true is,
(a) ∠x = 45°
(c) YZ = 3 cm

What is congruent geometry?

Incongruent geometry, the shapes that are so identical. can be superimposed to themselves.

Here,
For the given triangle to be congruent,
Each pair of corresponding angles and sides must be equal,
So,
(a) ∠x = 45°

When applying the cosine formula,
we get,
(c) YZ = 3 cm

Thus, the required condition that must be required to be to make the triangle congruent are,
(a) ∠x = 45°
(c) YZ = 3 cm

Learn more about congruent geometry here. https://brainly.com/question/12413243

#SPJ2


PLEASE HELP .?.!.??.!

Answers

Answer:

I would say Mai

Step-by-step explanation:

So if you do the math like i did you would get 2 answers 10 and 0 so all you would have to do then for your question is figure out the math and you should be good to go. Also to me Mai wrote it in the way i would write it out.

Module 2 Lesson 1
Review
Alicia sells 20 bags of chips for $5 If she continues to sell
chips, how much would she make after selling 100 bags?

Answers

Answer:

$25 is the answer

Step-by-step explanation:

100/20= 5

5×5=25

Answer:

the correct answer is 400

Step-by-step explanation:

first to figure out the amount for 1 bag u divide 20 and $5 and get 4

then multiple 4 by 100 to $400

20/5=4

4x100=400

hope this helps

When you graduate college at the age of 20, you want to start saving up for retirement. If your investment pays a fixed APR of 8.5% and you want to have $500,000 when you retire in 45 years, how much would you need to deposit, at the beginning of each month, to reach this goal?

Answers

Answer: The answer is A

A square has a side length of 36 fr. This square is dilated by a scale factor of 2/3 to create a new square. What is the side length of the new square?

Answers

Answer:

The side length of the new square is 24 ft.

Step-by-step explanation:

Dilations

A dilation is a transformation that produces a new image that is the same shape as the original but of a different size.

A dilation stretches or shrinks the original figure. To describe a dilation it's usually included the scale factor (or ratio) and the center of the dilation.

We have a square with a side length of 36 ft. When this square is dilated by a scale factor of 2/3, the new square will have a side length of 36*2/3= 24 ft.

The side length of the new square is 24 ft.

Answer:

24 feet

Step-by-step explanation:

got it right on ttm :)  

through: (5, 1), slope = -1

Answers

Answer:

y = -x + 6

Step-by-step explanation:

Since the slope is -1, there is another point at (6,0), which is the x-intercept. The y-intercept is (0,6). The slope and y-intercept are then plugged into the slope-intercept form equation to get y = -x + 6

What is M - 3 > -2???

Answers

Answer:

m>1

Step-by-step explanation:

inverse operations... add 3 to both sides so you get -2+3=1!!

3.) (1.012 X10-2) + (2.4X10-4)

Answers

Answer:

=(10.12-2)+(24-4)

=8.12+20

=28.12

0.62 devided by 3 please

Answers

Answer:

0.206 and then it repeats 6 over and over again

Step-by-step explanation:

hope it helped :)

Answer:

hey there!

Step-by-step explanation:

the answer is:

0.20666666666

hope it helped and have a nice day!

suppose X and Y are independent random variables, both with normal distributions. If X has a mean of 45 with a standard deviation of 4 and Y has a mean of 35 with a standard deviation of 3, what is the probability that a randomly generated value of X is greater than a randomly generated value of Y

Answers

Answer:

0.9772 = 97.72% probability that a randomly generated value of X is greater than a randomly generated value of Y

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

[tex]\mu_X = 45, \sigma_X = 4, \mu_Y = 35, \sigma_Y = 3[/tex]

What is the probability that a randomly generated value of X is greater than a randomly generated value of Y

This means that the subtraction of X by Y has to be positive.

When we subtract two normal variables, the mean is the subtraction of their means, and the standard deviation is the square root of the sum of their variances. So

[tex]\mu = \mu_X - \mu_Y = 45 - 35 = 0[/tex]

[tex]\sigma = \sqrt{\sigma_X^2+\sigma_Y^2} = \sqrt{25} = 5[/tex]

We want to find P(X > 0), that is, 1 subtracted by the pvalue of Z when X = 0. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0 - 10}{5}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a pvalue of 0.0228

1 - 0.0228 = 0.9772

0.9772 = 97.72% probability that a randomly generated value of X is greater than a randomly generated value of Y

Simplify the following expression. Rationalize all denominators.

Answers

Answer:

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

Step-by-step explanation:

√3x^6/√2x^4y^3

~Factor

(√3)x^3/(√2)x²y√y

~Cancel

(√3)x/(√2)y√y

~Rationalize

(√6)x/2y^(2/3)

Best of Luck!

WILL MARK YOU BRAINLIEST

Reflect (-5, -3) over the X-axis.
Then translate the result down 2 units.
What are the coordinates of the final point?

Answers

Answer:

_____________the answer is (-7,-3)______________

PLEASE HURRY
The Liberia zoo had 30 giraffes in its exhibit. The zoo loaned 7 giraffes to a neighboring zoo. How many giraffes remained at the Liberia zoo? Which equation models the situation? How many giraffes remained at the Liberia zoo?​

Answers

only 23 giraffes remained in the zoo

From the table of values plot the points and connect them using a smooth curve.​

Answers

Answer:

See attachment and explanation

Step-by-step explanation:

The question requires us to plot a graph of width on the x axis and area on the y axis.

We know that in plotting a graph, the nature of the values determines the shape and nature of the graph. The values we have here will ultimately lead us to a smooth curve as we can see from the excel document attached to this answer.

a fisherman floats 58ft. out from the shore. he notices a bird in the sky directly above the shoreline. if the angle of elevation from the fisherman to the bird is 23 degrees, how far is the fisherman from the bird.

Answers

Answer:

63 ft

Step-by-step explanation:

We solve this question using Trigonometric function of Cosine

cos θ = Adjacent/Hypotenuse

From the question:

θ = 23°

Adjacent = The distance of the fisherman from shore = 58 ft

Hypotenuse = The distance of the fisherman from the bird = x ft

Hence:

Cos 23 = 58/x

Cross Multiply

Cos 23 × x = 58

x = 58/Cos 23

x = 63.00890189 ft

Approximately = 63 ft

The distance of the fisherman from the bird is 63 ft

surface area of a cuboid 1cm by 10cm by 3cm​

Answers

Answer:

2lw + 2lh+2hw

Step-by-step explanation:

Answer:

If Im right you had to multiple 1 by 10 and 3

Step-by-step explanation:

Your answer will be 30 but dont forget to add the centimeter at the end

30cm

Hope this helps (:

Please any help with steps

Answers

I think the answer is 1/2. C.

Answer:

C

Step-by-step explanation:

1 inch=400 miles

x =200 miles

200 is half of 400, so the measurement should be halved as well.

Other Questions
The purpose for writing a personal narrative is O to persuade o to tell a story. O to teach. Oto question Mark this and TP please please help !! A van traveled 242 km at a speed of 55 km/h. How long did it travel? PLZ HELP FIND THE PERIMETER ILL GIVE BRAINLEST!!!! A crafter is making a triangular flag. She has two sides of length 24 inches and 36 inches. What are the length possibilities (in whole inches) for the third side? A. 12 in. or less B. 60 in. or more C. between 13 in. and 59 in. D. not possible what is the slope-intercept equation of the line below? critics argue that too many preschools are academically untented and stressful foryoung children.do you agree explain. i need help asap :)) Simplify 2a + 3a + a Options: Line A Line B Line C Line DIll give you brainlest!! 4. Solve for the missing variable. (The angle at the bottom is 97) The images show fossils of a modern bird and two extinct organisms (a Tyrannosaurus Rex and an Archaeopteryx). Based on the structure of the three organisms, it can be concluded that _________. The Archaeologyx and bird have wings, while dinosaurs have limbs. So, it can be concluded that _____________.Dropdown box #1: they share a common ancestor - they do not share the same ancestor - they are not linked through evolution.Dropdown box #2: the Archaeologyx evolved from birds - the Archaeologyx came after dinosaurs but after birds - the Archaeologyx evolved before nonflying dinosours. How does respiration differ from breathing? Ricardo bought a new car tommorow Based on the case, Khosrowshahi has more of a ________ decision-making style whereas Kalanick was more ________. The photo shows a frozen juice pop on a hot day.Which detail could be added to the photo to model the thermal energytransfer that is taking place?A. Arrows pointing from the juice pop to the sun B. Arrows pointing from the persons hand to the juice popC. Circles with arrows on the top of the juice popD. Arrows pointing from the sun to the juice pop please help asap if you can! What is the exponent rule of product of powers? The variable Q varies inversely as the cube of V. FK is the constant of variation, which equation represents this situation?A. qv^3=kB. q^3v=kC. q/v^3=kD. q^3/v=k What numbers are a distance of 12 unit from 35 on a number line?Select the locations on the number line to plot the points.30 points What is an equation of the line through the origin and (-4, 9)