What are integers in mathematics?

Answers

Answer 1
Answer: An integer is a whole number without any fraction or decimal part.
Answer 2
Answer: Integers are any whole number and negative who numbers. 1,2,3,4,5.....
-1,-2,-3,-4,-5..... are all integers. 


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Please answer this correctly

Solve the Equation.

x^2= 150

Urgent!

Answers

So to "unpack" this equation remember the inverse of exponential functions is square root. 

x^2 = 150 

to simply just use a radical, √(150) = 12.24744... 

Final answer:

The solutions to the mathematical equation x^2 = 150 are x = 12.25 and x = -12.25.

Explanation:

To solve the equation x^2 = 150, we have to find the value of x. The first step is to take the square root of both sides. The square root of x^2 is x, and the square root of 150 equals approximately ±12.25. So, the answer is:

x = ±√150

x = ±12.25

Thus, the solutions for the equation x^2 = 150 are x = 12.25 and x = -12.25.

Learn more about Square root here:

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The speed of light = 186,000 miles a second. Calculate the distance which light would travel in just 100 seconds.a. 1,860 miles
b. 18,600 miles
c. 186,000,000 miles
d. 18,600,000 miles

Answers

Final answer:

The distance that light travels in 100 seconds is calculated by multiplying the speed of light (186,000 miles per second) by the time (100 seconds), resulting in 18,600,000 miles.

Explanation:

The question asks for the distance that light travels in 100 seconds. The speed of light is given as 186,000 miles per second. Therefore, we use the formula for speed, which is distance = speed x time. In this case, the time is 100 seconds. So, we calculate the distance by multiplying the speed of light (186,000 miles per second) by the time (100 seconds).

Doing this, we get 186,000 miles/second x 100 seconds = 18,600,000 miles. Therefore, the correct answer is an option (d) 18,600,000 miles.

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Answer:

d. 18600000

Step-by-step explanation:

100 x 186000

When solving 2(x + 5) = −8, the property used in the first step is the ___________. answers: distributive property substitution property addition property transitive property

Answers

Answer:

Distributive property.

Step-by-step explanation:

The 2 is being distributed to the x and 5

It's the first step due to PEMDAS (Parenthesis first)

Which function has the greatest rate of change?A.
6x – 7y = 21

B.
y = 2x – 2

Answers

Rate of change is the slope.

6x - 7y = 21

Convert to slope-intercept form(y = mx + b):

Subtract 6x to both sides:

-7y = -6x + 21

Divide -7 to both sides:

y = 6/7x - 3

Now it's in the form of y = mx + b, where 'm' is the slope. So the slope here is 6/7.

y = 2x - 2

This is already in slope-intercept form, so the slope here is 2.

For function C, take any two points and plug them into the slope equation.

m = y2-y1/x2-x1

(2, 7)
(3, 1)

m = (1 - 7)/(3 - 2)

m = -6/1

m = -6

So the slope of function C is -6.

(1, 2) and (-1, -4)

m = y2-y1/x2-x1

m = (-4 - 2)(/(-1 - 1)

m = -6/-2

m = 3

So function D has the highest rate of change.

*** Function C and D information based on the comments below ***

What is the volume of the right prism?

_____in3

Answers

The\ volume\ of\ a\ right\ prism\ a* b* c:V=a\cdot b\cdot c\n\na=5\ in;\ b=12\ in;\ c=5\ in\n\ntherefore\n\nV=5\cdot12\cdot5=300\ (in^3)

Kristen is making lanyards for a convention. She needs to make 1,000 lanyards and knows that 1 lanyard uses 1.75 feet of cord. How much cord will Kirsten need? Describe how Kirsten could have solved the problem without writing out the pattern needed.

Answers

1,750 feet of cord
She needs 1000 lanyards and therefore 1000 times the amount of cord for 1 lanyard, so if 1 lanyard uses 1.75 feet of cord, 1000 lanyards needs 1000 times 1.75 feet of cord.
1000*1.75ft=1,750ft
She needs 1,750 feet of cord.
1 lanyards = 1.75 ft of cord
1000 lanyards = 1.75 x 1000
1.75 x 1000 = 1750 hope i helped
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