How many positive integers are factors of 55^3 + 66^3?​

Answers

Answer 1

Answer:

10

Step-by-step explanation:

55³ + 66³ =

= (5 × 11)³ + (2 × 3 × 11)³

= 5³ × 11³ + 2³ × 3³ × 11³

= 11³(5³ + 2³ × 3³)

= 11³ × 341

= 11³ × 11 × 31

= 11^4 × 31

The factors are:

1, 11, 31, 11², 11³, 11^4, 11 × 31, 11² × 31, 11³ × 31, 11^4 × 31

The factors are:

1, 11, 31, 121, 341, 1331, 3751, 14641, 41261, 453871

Answer: 10


Related Questions

Find the measure of each angle in the isosceles trapezoid.

Answers

Answer:

R = 98 degree

Q = 82 degree

T = 98 degree

I need help figuring out the answers

Answers

Answer:

The answer would be The answer would be 26 meters squared.

Step-by-step explanation:

1. Identify three rectangles
(The ones I identified were 5 by 2 [twice!] and 3 by 2)
2. Do 5x2 (10)
3. Do 5x2 again (10)
4. Do 3x2 (6)
5. Add 10, 10, and 6, to get 26
6. Label to get 26 meters squared. I hope this helps! :)

The revenue generated by a company manufacturing lawn mowers is
R=−0.9x2+90.2x , where x represents the number of mowers produced. The cost to produce the mowers is C=29x+500 , where x is the number of mowers produced.

Answers

The profit generated in terms of x is  −0.9x²+61.2x - 500

How to calculate profit functions

Given the following parameters

Revenue generated by a company = R=−0.9x²+90.2x

The cost to produce the mowers C(x) =  29x + 500

Determine the profit function

p(x) = R(x) - C(x)

P(x) = −0.9x²+90.2x  - (29x + 500)

P(x) = −0.9x²+90.2x - 29x - 500
P(x) = −0.9x²+61.2x - 500

Hence the profit generated in terms of x is  −0.9x²+61.2x - 500

Learn more on profit function here: https://brainly.com/question/25638609

In the equation 3s +135= 4.5 (s +10) what is s

Answers

3s + 135 = 4.5s + 45

Now move the variables and coefficients

135 = 1.5s + 45

And then the numbers

90 = 1.5s

Simplify

90/1.5 = 1.5s/1.5

60 = s

Hope this helps!

A toy is shaped as a triangular prism. The toy has a
base of 108 square inches. What is the height of the toy if
the volume is 729 cubic inches?

Answers

Answer:

[tex]\huge\boxed{\sf h = 6.75 \ in.}[/tex]

Step-by-step explanation:

Given Data:

Base area = [tex]A_{B}[/tex] = 108 in.²

Volume = V  = 729 in.³

Required:

Height = h = ?

Formula:

[tex]V=A_{B}h[/tex]

Solution:

For h, rearranging formula:

[tex]\displaystyle h = \frac{V}{A_{B}} \\\\h =\frac{729 \ in.^3}{108 \ in.^2} \\\\h = 6.75 \ in.\\\\\rule[225]{225}{2}[/tex]

One small question in attached, shouldn't take long. thanks for help

Answers

Ion even know maybe try dropping out?

What is the measure of angle A in the triangle below?
us
B
18
9
A
A
С
30°
o 45°
60°
90°

Answers

To find the measure of Angle A, we'll need to use a trigonometric function.

Remember: SOH-CAH-TOA


Looking from Angle A, we know the opposite side and the hypotenuse. Therefore, we should use the sine function.

sin(A) = 9 / 18

---To solve for A, you'll need to use the inverse sin function on your calculator. It should look like so: sin^-1()

The inverse sin of 1/2 = 30

Answer: first option, 30 degrees

Hope this helps!

Stuck on this math question can anyone help me please?!?

Answers

Answer:

1) f(-6) = 8

2) f(3) = -2

3) f(x) = -5 when x = 4


Peter went to a store. He bought 6.4 pounds of onions, potatoes, and hamburger. If 1.18 pounds was hamburger and 4.75 pounds were potatoes, how many pounds of onions did
Peter buy?

Answers

Answer:

0.47 pounds

Step-by-step explanation:

Simple subtraction!

Total pounds = pounds of onions + pounds of potatoes + pounds of hamburger

Setting the pounds of onions to [tex]x[/tex] we get:

[tex]6.4 = x + 1.18 + 4.75[/tex]

[tex]x=0.47[/tex]

So we get 0.47 pounds of onions!

Put these numbers in order from least to greatest "-5" 13 4 10 "-1"

Answers

Answer:

-5, -1, 4, 10, 13

Step-by-step explanation:

the larger the negative, the smaller the number

Which point is located at (–0.50, –1.25)?

Point

Answers

Answer:

Hopefully, this helps you!!

:3

Here's a graph!

Have a great day!!

[tex]Sokkachan[/tex]

Answer:

Point W

Step-by-step explanation:

Mike earns $15 per hour and Sara earns $34 per hour. What is the relative change in wages from Mike to Sara?

Answers

To find the Relative Change (C) is equal to final value (x to the base of 2) minus initial value (x to the base of 1) divided by the initial value

$34 - $15 over $15 or $34-$15/$15

Which equals to 19/15 (Simplified and rounded to the nearest 100th) is equal to 1.27

When K is negative the parabola ………..

Answers

Answer:

  has its vertex below the x-axis

Step-by-step explanation:

In the vertex form equation for a parabola, the parameter k is the y-coordinate of the vertex.

__

When k is negative, the parabola has its vertex located below the x-axis.

A middle school principal wants to change the lunch menu. The principal surveys the students to determine how the students would feel about the change. What served method will produce the best repersentative sample
A)survey every 5th student who rides in a car to school
B)survey 3 randomly selected students from every homeroom
C) survey every 10 7th grade student during lunch
D) survey 5 randomly selected students

Answers

Answer:

B

Step-by-step explanation:

B is the best answer because it's a lot of students and unbiased

Given the data 12,39,21,18,24,17,12,25

Answers

Answer:

12,39,21,18,24,17,12,25

Step-by-step explanation:

According to the Mars company, packages of milk chocolate M&Ms contain 20% orange candies. Find the probability that in a random sample of 100 M&M candies, there are between 18% and 22% orange candies.​

Answers

Using the normal distribution, it is found that there is a 0.383 = 38.3% probability that the sample proportion is between 18% and 22%.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].

In this problem, the proportion and the sample size are of p = 0.2 and n = 100, respectively, hence:

[tex]\mu = p = 0.2[/tex]

[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.2(0.8)}{100}} = 0.04[/tex]

The probability that in a random sample of 100 M&M candies, there are between 18% and 22% orange candies is the p-value of Z when X = 0.22 subtracted by the p-value of Z when X = 0.18, hence:

X = 0.22:

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

By the Central Limit Theorem:

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

[tex]Z = \frac{0.22 - 0.2}{0.04}[/tex]

Z = 0.5

Z = 0.5 has a p-value of 0.6915.

X = 0.18:

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

[tex]Z = \frac{0.18 - 0.2}{0.04}[/tex]

Z = -0.5

Z = -0.5 has a p-value of 0.3085.

0.6915 - 0.3085 = 0.383.

0.383 = 38.3% probability that the sample proportion is between 18% and 22%.

To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213

Solve the following equations
|3x-4(x+1)|=2

Answers

Answer:

x = -6          or   x = -2

Step-by-step explanation:

|3x-4(x+1)|=2

Simplify inside the absolute value by distributing

|3x-4x-4|=2

Combine like terms

|-x-4|=2

Now separate into two equations, one positive and one negative

-x-4 = 2   or -x-4 = -2

Add 4 to each side

-x-4+4 = 2+4     or -x-4 = -2+4

-x = 6                  or -x =2

Multiply by -1

x = -6          or   x = -2

A bag of candy contains 50 pieces of candy. The flavors are orange, strawberry, apple and
lemon. You know there are 12 orange candies. You pick an orange, put it back because you don'tlike orange and then pick a strawberry. The probability of this happening is 9/125. How many
strawberry candies are there?

Answers

Answer:

15

Step-by-step explanation:

Let the probability of picking an orange = P(O), and the probability of picking a strawberry = P(S),

Based on the question, he picked an orange first and the probability of picking that is

P(O) = 12/50

Then he picked a strawberry on the second pick, the probability of picking the strawberry is P(S) and we'll find that later.

The probability of picking orange then strawberry with replacement is

P(O) × P(S) = 9/125

Substitute the P(O)=12/50,

12/50 × P(S) = 9/125

P(S) = 3/10

Then by finding the number of strawberry candies, we'll just have to multiply P(S) with the total number of candies, i.e.

Number of strawberry candy

= 3/10 × 50

= 15

Medication with strength 125 mg/5 mL has been ordered at 25 mg/kg. The patient weighs 215 lb. How much should be
administered? (If less than 1, round to the nearest hundredth; otherwise, round to the nearest tenth.)

Answers

The amount of mg required per kg for the patient is 2,438.1mg/kg

Ratios and proportions

Proportions are ratios of two integers.

Given the medication with a strength 125mg/5ml which has been ordered at 25 mg/kg.

For a patient that weighs 215lb, the weight in kg will be 97.5224kg

Since 25mg = 1 kg

x = 97.5224kg
x = 25 * 97.5224
x = 2,438.06

Hence the amount of mg required per kg for the patient is 2,438.06mg/kg

Learn more on ratio and proportion here: https://brainly.com/question/19994681

Please helpp!!!!!!!!!!!!!!! I will mark brainlist

Answers

Second one and last one.

If you into 0 for x you get 4. It is not straight line or constant rate of change because slope is x^2 which is a parabola. If you input -3 you don’t get -5 you get 13. And lastly, y is a function of x means y changes according to the x input, which is the case here.

Answer:

statements 2 & 5 are true

Step-by-step explanation:

1. False because is a quadratic nonlinear equation

2. True, 4 is the ordered to the origin

3. False, the rate not being linear is not constant

4. False, because when the input is -3 the output is 13

         [tex]y = (-3)^{2} +4=9+4=13[/tex]

5. True, y depends on x

Hope this helps

help help help got math math

Answers

Answer:

>

Step-by-step explanation:

This is the greater than symbol. Think of it like an alligator mouth that wants to eat the larger number. 3.2 is larger than -99.

Answer:

3.2 > -99

Step-by-step explanation:

3.2 ? -99

3.2 (positive number)

-99 (negative number)

Positive numbers are always bigger than negative numbers

3.2 ? -99

3.2 > -99

Hope this helps!

answer the following question

Answers

Answer:

Letters as in the attached image.
Triangles ABC and ADC are congruent by SSS. From that, corresponding angles are congruent, in parcicualre B and D, both measuring 94°.
Final angle is obtained by difference. The internal angles of a quadrilater add to 360, so the remaining is 360-90-94-94 =82°

Find the equation of a line that passes through the point (4,2) that is perpendicular to the line y=(4/3)x

Answers

Answer:

Step-by-step explanation:

Hello:

an equation   for the line is : y =mx +b    (m: is a slope )

perpendicular to the line described by : y = 4/3 x

So : product for two slopes = -1   means : m×4/3=-1

m = -3/4

now : y = -3/4 x+b

but this line :

through the point (4,2) : 2 =(-3/4)(4)+b....... b=5

conclusion :

the equation is : y = -3/4x +5

pls help fast!!! will give brainliest!!!!!!

Answers

Answer:

A. About 47.5π

B. About 149.1

Factorize the given expressions below.
a) 6x power 2 -3x

b) x power 2 + 3x - 28

c) 4au + 24av - 5bu - 30bv
please answer and make it clear. give them brainlest answer.​

Answers

[tex]\textbf{a)}\\\\6x^2 -3x = 3x(2x-1)\\\\\textbf{b)}\\\\x^2+3x -28 \\\\=x^2 +7x-4x-28\\\\=x(x+7)-4(x+7)\\\\=(x-4)(x+7)\\\\\textbf{c)}\\\\4au+24av-5bu-30bv\\\\=4a(u+6v)-5b(u+6v)\\\\=(u+6v)(4a-5b)[/tex]

Step-by-step explanation:

A.6x^2-3x

3x(2x-1)

B.x^2+3x-28

product= -28x^2 sum= +3x factors= +7x, -4x

(x^+7x)(-4x-28)

x(x+7)-4(x+7)

(x-4)(x+7)

C.4au + 24av -5bu - 30bv

4a(u+6v)-5b(u+6v)

(4a-5b)(u+6v)

5 + 5 ? please answer tricks

Answers

Answer: 5 + 5 = 10

Reason: Imagine that you have 5 pencils in one hand, then you add another 5 pencils into that hand, and you would have 10 pencils. Thus 5 + 5 in this case is 10

Hope that helps!

Let’s do this with dots
5+5=10
•••••+•••••= ••••••••••
5 dots+ 5 dots= 10 dots
Count them if u need to
Please give me brainliest


i need help right now please !!!!!

Answers

Answer:

x+50+4x=90(being complementary angle)

5x+50=90

5x=90_50

5x=40

x=40÷5

x=8

first we add those both numbers, x+4x=5x and we divide it with 40(40÷5) and the solution comes.

Is triangle ABC congruent to triangle DEC? If so, write an argument to prove you are right.

Answers

Answer:

If two sides in one triangle are congruent to two sides of a second triangle, and also if the included angles are congruent, then the triangles are congruent. Using labels: If in triangles ABC and DEF, AB = DE, AC = DF, and angle A = angle D, then triangle ABC is congruent to triangle DEF  

Step-by-step explanation:

qwe

 

which best represents the relationship between x and y

y=2x
y=x+2
y=4x
y=x+4

Answers

Answer:

In y = 2x the value of y is twice the value of x, and in y = x + 2 the value of y is two more than the value of x.

Same for the y=4x and y=x+4, just plug the numbers into the sentence.

Step-by-step explanation:

two variables in which the value of one of them (usually y) depends on the value of the other one (usually x)

16.
The least common denominator of 1/2, 1/8, and 1/10 is
O A. 10.
OB. 80.
C. 40.
D. 16.
n
Mark for review Awill be biabliabted on the review page)

Answers

C is the correct answer
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