A student is asked to calculate the value of 133 using the identity (x + y)3 = x3 + 3x2y + 3xy3 + y3. The student's steps are shown below.

Step 1: 133 = (10 + 3)3

Step 2: = (10)3 + 3(10)2(3) + 3(10)(3)2 + (3)3

Step 3: = (1,000) + (180) + (270) + (27)

Step 4: = 1,477

The correct answer should be 2,197. In which step did the student make his first error?

Answers

Answer 1

Answer:

I think his first error is step2


Related Questions

What is the additive inverse of the polynomial –9xy2 + 6x2y – 5x3?

–9xy2 – 6x2y + 5x3
–9xy2 – 6x2y – 5x3
9xy2 + 6x2y + 5x3
9xy2 – 6x2y + 5x3

Answers

Answer:

it is the last one (D)

Step-by-step explanation:

The additive inverse of the polynomial; –9xy² + 6x²y – 5x³ is; 9xy² -6x²y +5x³; Choice D

What is additive inverse?

The additive inverse of a mathematical term can be evaluated by simply multiplying the term by -1.

Hence, for the given polynomial; –9xy² + 6x²y – 5x³.

The additive inverse is; -1 × (–9xy² + 6x²y – 5x³)

The additive inverse of the polynomial is therefore; 9xy² -6x²y +5x³

Read more on additive inverse;

https://brainly.com/question/1097883

Find the exact values of all 6 trigonometric function for theta=240 degrees

Answers

Answer:

Step-by-step explanation:

4

In a sample of 63 cans, the average diameter was found to be 3.7in. with a standard deviation of 0.32. Give a point estimate for the population variance of the diameter of the cans

Answers

Answer:

0.32

Step-by-step explanation:

Given that:

The sample size of the population = 63

The sample mean = 3.7

The sample standard deviation = 0.32

Thus, the point estimate for the population variance of the diameter of the cans is said to be the standard deviation of the population = 0.32

Suppose the variance (S²) is given as 0.32

Then the standard deviation will be [tex]\sqrt{S^2}[/tex]

=[tex]\sqrt{0.32}[/tex]

= 0.57

Then, since the sample standard deviation is the point estimate, we would have had 0.57 as the answer.

use the model below to find the quotient of 12÷3​

Answers

Answer:

Uhhh what model? Bruh 12/3 is just 4

Step-by-step explanation:

A clerk entering salary data into a company spreadsheet accidentally put an extra "0" in the highest

employee salary (the boss's salary!), listing it as $1,500,000 instead of $150,000. How does this

error affect the measures of center (median and mean)?

A. The median will be the same. The mean will be too small.

B. The median will be the same. The mean will be too large

C. The median will be too small and the mean will be too large,

D. The median and the mean will both be too large.

Answers

Answer:

The correct option is B.

Step-by-step explanation:

The median (m) is a measure of central tendency. To obtain the m, we assemble the data in arising order. If the data is odd, the m is the mid-value. If the data is even, the m is the arithmetic-mean of the two mid-values.

The mean is the average value of the data set. It is computed by dividing the sum of all the values in data set by the number of values.

So, the mean considers all the values in the data set. But the median considers only one value.

It is provided that the clerk entering salary data into a company spreadsheet accidentally put an extra "0" in the highest  employee salary (the boss's salary!), listing it as $1,500,000 instead of $150,000.

The highest salary will be taken into account while the computation of mean. But it would not be considered while determining the median.

So, the median salary will remain same.  But the mean salary will change.

And since the highest salary is increasing from $150,000 to $1,500,000 the mean will also increase.

Thus, the correct option is B.

Drag each tile to the correct box.
Calculate the sum of each expression. Arrange the expressions in the order of their value from largest to smallest.
+
+
+
>
1

Answers

Answer:

2 1/5 +2 2/5

9 2/5 +(-5 3/5

-8 2/5 + 9 1/5

Step-by-step explanation:

It costs $3.15 to buy 3/4 lb of chopped walnuts. How much would it cost to purchase 7.5 lbs of walnuts?

Answers

Answer:7.88

Step-by-step explanation:

Simplify -9 + m + (-6)​

Answers

Answer:

m-15

Step-by-step explanation:

How do you do this question?

Answers

Answer:

R = 1

I = [-1, 1)

Step-by-step explanation:

Use the ratio test:

lim(n→∞)│aₙ₊₁ / aₙ│

lim(n→∞)│[xⁿ⁺¹ / (8(n+1) − 1)] / [xⁿ / (8n − 1)]│

lim(n→∞)│[xⁿ⁺¹ / (8n + 7)] × [(8n − 1) / xⁿ]│

lim(n→∞)│[x (8n − 1) / (8n + 7)]│

lim(n→∞)│[(8n − 1) / (8n + 7)]││x│

│x│

The series converges if the limit is less than 1.

│x│< 1

So the radius of convergence is 1.

Solving for x:

-1 < x < 1

Check the endpoints.

If x = -1, the series is ∑ (-1)ⁿ / (8n − 1), which converges.

If x = 1, the series is ∑ 1 / (8n − 1), which diverges.

So the interval of convergence is [-1, 1).

Sigue la secuencia 6,8,12,20

Answers

Answer:

28,38

Step-by-step explanation:

Answer:

6,8,12,20,36,68

esta multiplcando el siemprw por 2

comienza con 2 despues aumenta a 4 despues a 8 y sigues asi

Homework - Lesson 20 - Practice Problems
14 -
1. Solve 2x < 10. Explain how to find the solution set.

Answers

Answer:

x<5

Step-by-step explanation:

you need to divide 2x by 2 which gives you x. then you do the same to the other side so (10/2) which gives you 5. this means x can be any number under 5 in order for the function to be true.

what are the solutions to the following system​

Answers

Answer:

where's the solution

Step-by-step explanation:

Answer:

what is solution

Step-by-step explanation:

please write what is solution

Lines L and M are parallel find M7

Answers

Step-by-step explanation:

Hey there!

Looking through figure; we find that,

angle 7 + 38° = 180° { Being linear pair}

Or, angle 7 = 180° - 38°

Angle 7 = 142°

Therefore, the measure of angle 7 is 142°.

Hope it helps...

Answer: 142

Step-by-step explanation:

As preparation for designing a new line of business wear, a clothing manufacturer asked a large sample of department store customers, "What is your favorite color of dress shirt?" The pie chart below summarizes their responses. (a) Which color was chosen by approximately one-eighth of the customers? Select One Black Grey (b) Approximately what percentage of the customers chose White or Blue? Write your answer as a multiple of 10% - that is, 10%, 20% Pink 30%, Other Blue White (c) I 24% of the customers chose Black, approximately what percentage chose Other? 8% 16% 339​

Answers

Answer:

The pie chart is missing, so I looked for similar questions (see attached image):

(a) Which color was chosen by approximately one-eighth of the customers?

Blue. There are two colors that represent approximately 15%, and they are blue or grey, but grey is a little larger so it is closer to 20%.

(b) Approximately what percentage of the customers chose White or Blue?

40%. If you combine the approximate number of customers that chose either white or blue, you will get roughly 40%

(c) If 24% of the customers chose Black, approximately what percentage chose Other?

In all the similar questions that I found black is much more than 24%, it clearly makes up more than 1/4 of the pie chart. I would say approximately 33%. In the attached image you can see that "other" represents between 6-7%.

The easiest way to solve this is to print the image and use a protractor. If you want to calculate the area for blue, just measure the angle, e.g. ± 55°, then divide by 360° = 0.1528 = 15.28%.

Which of these numbers is a rational?

Answers

Answer:

f. II only

II. [tex]\sqrt{81}[/tex]=9

This is the only one that results in a rational number

will give brainlleest to best answer
The table shows conversions of common units of capacity.

Units of Capacity
Customary System Units
Metric System Units
1 gallon
3.79 liters
1 quart
0.95 liters
1 pint
0.473 liters
1 cup
0.237 liters

How many deciliters are equivalent to 9 cups? Use the conversion table to find the answer. Round to the nearest tenth.
21.3 dL
42.7 dL
213.3 dL
426.6 dL

Answers

Answer:

Answer:  The correct option is (a) 21.3 dL.

Step-by-step explanation:  We are given to find the number of deciliters that are equivalent to 9 cups.

Given that,

1 cup = 0.237 liters.

We know that

1 liter = 10 deciliters. So, we get

0.237 liters = 0.237 × 10 deciliters = 2.37 deciliters.

This implies that

1 cup = 2.37 deciliters.

Therefore, we get

9 cups = 2.37 × 9 deciliters = 21.33 deciliters.

Rounding to nearest tenth, we get

Thus, 9 cups are equivalent to 21.3 deciliters.

Option (a) is CORRECT.

Answer:

A as in A big fat cow

Step-by-step explanation:

Help meéeeeeeeeeeeeee

Answers

Answer:

8

Step-by-step explanation:

4/5-2/5=2/5

2/5 times 4= 8/20

and 1/20 can only fit into 8/20 8 times so the answer is 8

Keiko, Brian, and Ali served a total of 141 orders Monday at the school cafeteria. Ali served 4 times as many orders as Keiko. Brian served 9 more orders than Keiko. How many orders did they each serve

Answers

Answer=b
Step by step answer

Answer:

Ali served 90 orders, Brian served 30 orders, and keiko served 21 orders.

Step-by-step explanation:

Which power has a value greater than 620 and less than 630?

Answers

[tex]\tt Step-by-step~explanation:[/tex]

When the number gets powered, it equals to a number higher than 620 and less than 630. I can safely assume that that number would equal to 625, if the number is 5.

[tex]\tt 5^1=5\\5^2=25\\5^3=125\\5^4=625[/tex]

[tex]\large\boxed{\tt Our~final~answer:~5^4 ~(=625)}[/tex]

Heyy i need help!

-5 1/4 - (-7 1/2)

Answers

Answer:

9/4

Step-by-step explanation:

-5 1/4 - (-7 1/2)

-21/4 - (-15/2)

-21/4 + 15/2

-21/4 + 30/4

9/4

identify the term of the expression 6x + 3

Answers

Answer:

x is the term

Step-by-step explanation:

a boat leaves at noon and has a bearing of S 35 east. The boat travels at 40 miles per hour. (a) many miles south and how many miles east will the boat have traveled at 7 pm

Answers

Answer:

South =34.18 miles

East=  49.12miles

Step-by-step explanation:

We begin by calculating the distance covered in 7n hours

that is from 12 pm to 7pm which is 7 hours

so time t= 7 hours

speed= 40 miles per hours

we know that speed= distance/time

let the distance be x

40=x/7

x=40*7

x=28miles

(a) many miles south and how many miles east will the boat have traveled at 7 pm

applying SOH CAH TAO we have

For the  south  CAH

cos Ф=hyp/adj

hyp= 28 mile

Ф= 35°

cos 35= 28/adj

0.819=28/adj

adj=28/0.819

adj=34.18 miles

For the  East SOH

sin Ф=hyp/opp

hyp= 28 mile

Ф= 35°

sin 35= 28/opp

0.57=28/opp

opp=28/0.57

opp=49.12miles

HELP PLEASE DONT HAVE MUCH TIME

Answers

I think it’s the first one

Answer:

4.8*10^7

Step-by-step explanation: You chose the right answer. Hint plug it exactly like it is in the calculator and change your mode to scientific notation. That’s what I did


A hot air ballon travels 18 miles in 3 hours. At this rate how many miles will the hot air ballon travel in a half hour

Answers

Answer:

3

Step-by-step explanation:

[tex]\frac{18m}{3hr} = \frac{Xm}{0.5hr}\\cross muultiply\\3Xmhr = 18(0.5)mhr\\3X = 18(0.5)\\3X = 9\\X = \frac{9}{3}\\X = 3[/tex]

what to do for the me part ​

Answers

ANSWER:

Me: $100,00
Maximum total debt: $20,000
Maximum monthly payments: $833.30

Find the product. 1.25(40)

Answers

Answer:

The answer is 50

Step-by-step explanation:

You just have to multiply them both if i'm not mistaken.

NEED HELP ASAP!!! WILL MARK BRAINLIEST!!!!!!
** And please look at the picture and answer the answer choices ONLY**

Tyler has two cube-shaped storage spaces in apartment building, one large and one small.

Answers

Answer:

[tex]s^{3}+12[/tex]

Step-by-step explanation:

A submarine is 50 meters below sea level . It goes up 15 meters, then goes down 40 meters. What is the submarines new position relative to sea level?

Answers

Answer:

Step-by-step 2-3 as an addition problem. Then simplify and solve the expression. 2+(-3)=-1

12+(-8)-1 3

A submarine is 50 meters below sea level. It goes up 15 meters, then goes down 40 meters. What is the submarine's new position relative to sea level? -75 meters

The perimeter of an equilateral triangle is 7 inches more than the perimeter of a​ square, and the side of the triangle is 5 inches longer than the side of the square. Find the side of the triangle.​

Answers

Answer:

13 inches

Step-by-step explanation:

Adrianna uses her credit card to purchase everything! She makes payments on the 15th of each month. Each payment she makes is for the same amount, and it is automatically deducted from her savings account. At the end of the year, Adrianna’s account balance changed by - $4,203.00 due to the payments she made. What is the change in Adrianna’s account balance each month due to the payments she makes on her credit card?

Answers

Answer:

$350.25 per month

Step-by-step explanation:

We can assume she pays the same amount every month. We know that there are 12 months in a single year, so we can divide to find the unit rate.

4203 / 12 = 350.25

Best of Luck!

Answer:

$350.25 per month

I hope this helps! good luck and  hope you do well!

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