Use polynomial identities and number properties to calculate 25^3

Answers

Answer 1

Answer:

15625

Step-by-step explanation:

25^3

The base is 25 and the power is 3

That means we multiply 25 together 3 times

 = 25*25*25 =15625

Answer 2

Answer:

15,625

Step-by-step explanation:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(20+5)³

20³ + 3(20²)(5) + 3(20)(5²) + 5³

8000 + 6000 + 1500 + 125

15625


Related Questions

The lowest temperature in January was less than−6°. Which could be the lowest temperature in January?

Answers

The lowest temperature in January is -10°C.

What are Integers?

Integers come in three types:

Zero (0)Positive Integers (Natural numbers)Negative Integers (Additive inverse of Natural Numbers)

Given:

The lowest temperature in January was less than−6°.

as, we know in integers the smaller the number the grater its value.

such as -100 < (-1)

So, -6 > -10

and, -6 < 0

and, -6 < -5

and, -6 < -2.

Thus, the lowest temperature is -10°C.

Learn more about Integers here:

https://brainly.com/question/15276410

#SPJ6

Final answer:

The lowest temperature in January can be any temperature that is less than -6°.

Explanation:

The question asks for the lowest temperature in January, given that it is less than -6°. Since the question does not provide a specific range, any temperature that is less than -6° can be considered the lowest temperature in January. For example, -10°, -15°, or -20° can all qualify as the lowest temperature in January.

Shwetha comes to the swimming pool once every 12 days. Vinnie comes once every 4 days and Olga comes once every 10 days. Last Monday all of them were in the pool. In how many days all of them will meet at the swimming pool again? What day of the week will it be?

Answers

Answer:

60 days, Friday

Step-by-step explanation:

This problem is solved using concept of LCM.

LCM is the least number which is the common multiple of given set of different number.

To find the LCM  we method of prime factors, the steps are given below

get all the all the prime factor of the given set of numberselect all the prime factors   as many times they occur in given set of numbermultiply together the numbers selected together to get LCM

________________________________________________

Given

frequency of visiting swimming pool by Shwetha = once in 12 days

factors of 12 = 2 * 2 * 3

frequency of visiting swimming pool by Vinnie = once in 4 days

factors of 2 = 2 * 2

frequency of visiting swimming pool by Olga = once in 10 days

factors of 10 = 2 * 5

minimum no of days after which they will be visiting together will be least common multiple of number of days after which they visit swimming pool individually.

Selecting the prime numbers with their highest occurrence

we have 2, 2, 3 ,5

multiplying them together we have

2 * 2 * 3* 5 = 60

therefore 60 is the LCM of 12, 4, 10

it means that Shwetha, Vinnie and Olga will visit swimming pool together once in 60 days

It is given that they visited on Monday  and now they will visit after 60 days again.

since in one week there are seven days, every eighth day will be monday

so we divide 60 days by 7 to see how many cycles of monday has passed.

60/7 = 8  4/7

It suggest that 8 weeks has passed and they will meet on 4 days after Monday  which will be Friday.

Thus they will meet meet at the swimming pool again in 60 days.

It will be Friday.

Answer:

60 days, friday

Step-by-step explanation:

What is the radius of the circle x^2+6x + y^2– 12y = 36?

Answers

Answer:

Step-by-step explanation:

hello :

x²+6x + y²– 12y = 36

completed to suqard :(x²+6x) + (y²– 12y) = 36 means :

(x²+6x+9)-9 + (y²– 12y+36)-36 = 36

(x+3)²+(y-6)² = 9².... standard form when the radius is : 9

a triangular section of a farm is enclosed by fences that are 2 meters, 6 meters, and 7 meters long, estimate the area of the section

Answers

Final answer:

To estimate the area of a triangular section with sides 2 meters, 6 meters, and 7 meters, you can use Heron's formula. The semi-perimeter is 7.5 meters. The estimated area of the triangle is approximately 5.56 square meters.

Explanation:

To estimate the area of a triangular section of a farm enclosed by fences that are 2 meters, 6 meters, and 7 meters long, we can use Heron's formula. First, we calculate the semi-perimeter (s) of the triangle:

s = (a + b + c) / 2s = (2 + 6 + 7) / 2s = 15 / 2s = 7.5 meters

Now, we use Heron's formula to find the area (A):

A = √(s(s-a)(s-b)(s-c))A = √(7.5(7.5 - 2)(7.5 - 6)(7.5 - 7))A = √(7.5 * 5.5 * 1.5 * 0.5)A = √(30.9375)A ≈ 5.56 square meters

Therefore, the estimated area of the triangular section of the farm is approximately 5.56 square meters.

Ice cream sandwiches are wrapped in white paper before they are put in
a box to be sold. How many ice cream sandwiches can be wrapped with
500 square inches of paper?

Answers

What’s the size of them?

The Royal Fruit Company produces two types of fruit drinks. The first type is 60% pure fruit juice, and the second type is 85% pure fruit juice. The company is

attempting to produce a fruit drink that contains 70% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 160

pints of a mixture that is 70% pure fruit juice?

Answers

Answer: 96 pints of the first fruit drink (60% pure fruit juice) and 64 pints of the second fruit drink (85% pure fruit juice).

Step-by-step explanation:

This question is a system of equations. First, we will define our variables:

Let x= number of pints of the first fruit drink (60% pure fruit juice), and then y = the number of pints of the second fruit drink(85% pure fruit juice).

We know that there are 160 total pints of the mixture. Therefore,

x + y = 160 .......... equation i

We are also aware that 70% of those 160 pints will be pure fruit juice, and they will come from either x or y.

For x pints of the first juice, there is

0.6x of pure fruit juice and for y pints of first juice, there is 0.85y of pure fruit juice. Therefore, we will have:

0.6x + 0.85y = 160 × 0.7

0.6x + 0.85y = 112

Multiply through by 100 to remove decimal. This will be:

60x + 85y = 11200 ........... equation ii

Combine both equations

x + y = 160 .......... i

60x + 85y = 11200 ........ ii

Multiply equation i by 60

Multiply equation ii by 1

60x + 60y = 9600 ........ iii

60x + 85y = 11200 ......... iv

Subtract iv from iii

-25y = -1600

y = 1600/25

y = 64

Since x + y = 160

x = 160 - 64

x = 96

Therefore , we will need 96 pints of the first fruit drink (60% pure fruit juice) and 64 pints of the second fruit drink (85% pure fruit juice).

Question: Solve it using the proportion method.​

Answers

60% of what number is 348?

The answer is 580.

Fernando bought a jacket for $185 and sold it for 1 1/2 times what he paid. Marisol spent 1/5 as much as Fernando on the same jacket but sold it for 1/2 as much as Fernando did. How much money did Marisol make? Explain your thinking using a diagram

Answers

We have been given that Fernando bought a jacket for $185 and sold it for 1 1/2 times what he paid.

Let us find selling price of jacket as:

[tex]\text{Selling price of Fernando's jacket}=\$185\times 1\frac{1}{2}[/tex]

[tex]\text{Selling price of Fernando's jacket}=\$185\times \frac{3}{2}[/tex]

[tex]\text{Selling price of Fernando's jacket}=\$277.5[/tex]

We have been given that Marisol spent 1/5 as much as Fernando on the same jacket.

[tex]\text{Cost of Marisol's jacket}=\$185\times \frac{1}{5}[/tex]

[tex]\text{Cost of Marisol's jacket}=\$37[/tex]

We are also told that Marisol sold the jacket for 1/2 as much as Fernando did.

[tex]\text{Selling price of Marisol's jacket}=\frac{\$277.5}{2}[/tex]

[tex]\text{Selling price of Marisol's jacket}=\$138.75[/tex]

The amount of money earned by Marisol would be selling price of jacket minus cost.

[tex]\text{Amount of money earned by Marisol}=\$138.75-\$37[/tex]

[tex]\text{Amount of money earned by Marisol}=\$101.75[/tex]

Therefore, Marisol made $101.75.

If the probability that event A takes place is 0.299, what is the probability of event A not
happening?

Answers

Answer:

0.701

Step-by-step explanation:

0.299=299/1000

probability of not happening=1000-299/1000

=701/1000

=0.701

hope I helped

please like and Mark as brainliest

24+j= 37.947 I need to solve for j

Answers

The answer is
j=13.947

Answer:

j= 13.947

Step-by-step explanation:

j=37.947-24

so j= 13.947

What is the first step to solving this
equation?
4(2x-3)=4

Answers

Answer:

x=2

Step-by-step explanation:

Let's solve your equation step-by-step.

4(2x−3)=4

Step 1: Simplify both sides of the equation.

4(2x−3)=4

(4)(2x)+(4)(−3)=4(Distribute)

8x+−12=4

8x−12=4

Step 2: Add 12 to both sides.

8x−12+12=4+12

8x=16

Step 3: Divide both sides by 8.

8x /8 = 16 /8

x=2

Answer:

x = 2

Step-by-step explanation:

4(2x-3) = 4

4 × (2x-3) = 4 × 1

(2x-3) = 1 (divide both sides by 4)

2x = 1 + 3 (Move 3 to the right hand side)

2x = 4

x = 4/2

x = 2

Simplify 5+ W equals eight

Answers

Answer:

3

Step-by-step explanation:

5+3=8

8-5=w

Are you a boy or a girl

Answers

Answer: A boy

Step-by-step explanation: I'm a boy

Answer: Girl!

Step-by-step explanation: why? Oof

In an assembly line, 56 out of 60 randomly selected parts have no faults. Predict the number of parts that will have no faults in a similar batch of 12,000 parts.

Answers

We have been given that in an assembly line, 56 out of 60 randomly selected parts have no faults. We are asked to predict the number of parts that will have no faults in a similar batch of 12,000 parts.

We will use proportions to solve our given problem.

[tex]\frac{\text{Not faulty parts}}{\text{Total parts}}=\frac{56}{60}[/tex]

[tex]\frac{\text{Not faulty parts}}{12,000}=\frac{56}{60}[/tex]

[tex]\frac{\text{Not faulty parts}}{12,000}\times 12,000=\frac{56}{60}\times 12,000[/tex]

[tex]\text{Not faulty parts}=56\times 200[/tex]

[tex]\text{Not faulty parts}=11,200[/tex]

Therefore, approximately [tex]11,200[/tex] parts will have no faults in a similar batch of 12,000 parts.

Need this answer in fraction form these are the answer choices
A.8/15
B.15/16
C.16/15
D.15/8

Answers

Answer:

Option B 15/16

Step-by-step explanation:

calculate the volume of the cone and the volume of the cylinder and then put them in a fraction with the cone over the cylinder, afterwards put that fraction in a calculator and see what you get. once you get the answer input each one of the options into the calculator until one of the fractions gives you the same product as the cone/cylinder fraction.

please mark brainliest :)

Please help. worth 60 points

Answers

Help you with what I don’t see anything

Answer:

What am I supposed to help you with?

Step-by-step explanation:

Observe the graph below and determine the exponential function.
PLEASE HELP FAST

Answers

Step-by-step explanation:

I think the exponential function is 4,-8

Answer:

f(x) = 1/4

Step-by-step explanation:

I used google, and I wish there were some answer choices!! If there are, let me know!!

Cameron sent a chain letter to his friends, asking them to forward the letter to more friends.
The relationship between the elapsed time t, in days, since Cameron sent the letter, and the number of people, P(t), who receive the email is modeled by the following function:

P(t) = 100 · (1.83) ^ t/2.5

Complete the following sentence about the rate of change in the number of people who receive the email.

Every _______ days, the number of people who receive the email increases by 83%.

A.) 0
B.) 1.83
C.) 100
D.) 2.5

Answers

Answer:

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

The temperature in a greenhouse should be 65 degrees or higher. One​ morning, the heater stopped working. The temperature dropped 6 degrees before someone fixed the heater. The temperature was still at least 65 degrees when the heater started working again. How can you best describe the temperature in the greenhouse before the heater stopped​ working?

Answers

Final answer:

The temperature in the greenhouse before the heater stopped working was at least 71 degrees Fahrenheit, based on the information that the temperature dropped 6 degrees but remained at least 65 degrees.

Explanation:

As the temperature dropped 6 degrees and was still at least 65 degrees when the heater was fixed, we can set up a simple inequality to represent this situation:

Let T represent the temperature before the heater stopped working. After the heater stopped working and the temperature dropped by 6 degrees, the new temperature would be T - 6. According to the provided information, this new temperature was still at least 65 degrees, which gives us the inequality:

T − 6 ≥ 65

Adding 6 to both sides of the inequality, we find:

T ≥ 71

This means that the temperature in the greenhouse before the heater stopped working was at least 71 degrees.  

What is the simplified form of the expression?

Answers

Answer:

The answer is A - a. -6a^2/b  b. 5y^3

May I please get help with this question?

Answers

The answer should be 42 times.

What are the x- and y-intercepts of the function graphed below?*

(0, 3) and (6,0)

(3,0) and (0,6)

(3,0) and (6.0)

(0.3) and (0,6)

Answers

Answer:

(3,0) and (0,6)

Step-by-step explanation:

(x,y) is the only way to make ordered pair.

The x was a 3 so you could cross out the first and last because they put the 3 in the y spot. When is should be (3,0).

Then the y was 6 and that I would be (0,6) so the third would also be crossed out because they put the 6 in the y spot.

So the answer is (3,0) and (0,6).

(3,0) and (0,6) is the answer

If the product of two integers is positive, their signs are positive or negative

Answers

Their signs are positive. if you multiple a positive by a positive, you get a positive. but if you multiple a negative by a negative, you get a positive. if you multiply two of the same sign numbers, the product is always positive.


How many significant digits are there in the product of 0.005 and 25.725
a. 0
b. 1
c. 2
d. 3

Answers

a is the correct answe

Answer:

its D 3

Step-by-step explanation:

The measure of XYZ is 45. The length of radius YZ is 6 inches. What is the area of sector XYZ?


(Use 3.14 for I.)

Answers

Answer:

area of a sector = 14.13 yards²

Step-by-step explanation:

XYZ is a sector of a circle. The radius YZ is 6 inches .The angle of the sector is given as 45°. The area of the sector can be solved as follows.

area of a sector = ∅/360 × πr²

where

r = radius

∅ = center angle

r = 6 inches

∅ = 45°

area of a sector = 45/360 × 3.14 × 6²

area of a sector = 45/360 × 3.14 × 36

area of a sector = 45/360 × 113.04

area of sector = 1/8 × 113.04

area of a sector = 14.13 yards²

Answer:

14.13

Step-by-step explanation:

i know

log8x=2 solve for x by converting the logarithm to an exponential equation. (i already know the answer is 12.5 but i need the written steps that it takes to solve this problem in order for my answer to count.) please help!!!!1

Answers

Answer:

pooooooo

Step-by-step explanation:

I need help pleaseee (10 points)

Answers

Answer:

(x+9) (x+9)

Step-by-step explanation:

hope this helps ;/

Answer:

(x+9)(x+9)

Step-by-step explanation:

Find a solution to the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of
equations
4x - 2y - 5z = -51
4x - y - 2z = -36
4x - 2y + 4z = -24
a. (-6, 6, 3)
C (-6, 6, 62)
b. (-62, 62, 30)
d. (-62, 6, 62)

Answers

Answer:

A. ( -6, 6, 3)

Step-by-step explanation:

100% correct

Does anyone know the question to this?

Answers

Answer:

120

Step-by-step explanation:

10x3=30x4=120

Lauren owes her friend $32.50 for a concert ticket. She doesn’t have the cash now, but she’ll earn it babysitting this weekend. If Lauren gets paid $8 an hour to babysit, the equation that represents y, how much money will she have after paying back her friend, in terms of x, the number of hours she spends babysitting this weekend, is y = x .

Answers

Answer:

y=8x-32.5

Step-by-step explanation:

8 dollars an hours = slope

-32.5 owed = y-intercept

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