All categories

3 years ago

What can this be represented by ?

Mathematics

1 answer:

aleksklad [387]3 years ago

5 0

Answer:

Step-by-step explanation:

You might be interested in

Write the value of 83,479

Ann [662]

Eighty three thousand four hundred and seventy nine

6 0

3 years ago

Water runs from a pump at a rate of 0.5 gallons per minute. At this rate, how long would it take to fill a tub with a 150-gallon

lutik1710 [3]

Answer:

300 min or 5 hours

Step-by-step explanation:

so if it pumps 0.5 gallons per minute than in 2 minutes it would pump 1 whole gallon so with that we know 1gallon=2 minutes.

so with that we multipy both sides by 150 which will be 150 galons=300 minutes or 5 hours

3 0

2 years ago

Last year a buisness had profits of 8000 this year its profits are 5 times as great what are this years profits

Mekhanik [1.2K]

If it’s 5 times you would multiply 8000 x 5 which is 40,000.

7 0

3 years ago

How do you factor 125-x^3?

xz_007 [3.2K]

Step-by-step explanation:

We have

$125 - x {}^{3}$

First, 125 is a perfect cube because

$5 \times 5 \times 5 = 125$

and

x^3 is a perfect cube because

$x \times x \times x = x {}^{3}$

so we can use the difference of cubes identity

$( {x}^{3} - {y}^{3} ) = (x - y)( {x}^{2} + xy + {y}^{2} )$

Let say we have two perfect cubes:

64 because 8×8×8=64

and 27 because 3×3×3=27 and let subtract

$64 - 27$

we know that

$64 - 27 = 37$

but using the difference of cubes identity we should get the same thing.

Remeber cube root of 64 is 4 and cube root of 27 is 3 so we have

$(4 - 3)( {4}^{2} + 4(3) + 3 {}^{2} )$

$1(16 + 12 + 9) = 1(37) = 37$

So the difference of cubes works for real numbers. This is a good way to help remeber the identity using real numbers.

Back on to the topic,

we know that 5 is cube root of 125 and x is the cube root of x^3 so we have

$(5 - x)( {5}^{2} + 5x + {x}^{2} ) =$

$(5 - x)(25 + 5x + {x}^{2} )$

3 0

2 years ago

Read 2 more answers

The electric-vehicle manufacturing company Tesla estimates that a driver who commutes miles per day in a Model S will require a

saul85 [17]

Answer:

Following are the solution to the given points:

Step-by-step explanation:

Please find the complete question in the attached file.

In this question, we assume that "x" denotes as an actual time of the battery charging, that is a uniform random variable that $x \sim U(90, 120)$

In point a:

so, pdf of x =

$\to f(x)= \frac{1}{120-90} = \frac{1}{30} \\\\\to 90 < x$

In point b:

To find

$\to P(x$

In point c:

$\to P(x$

In point d:

$\to P(95< x< 110)$

$= \int^{110}_{95} \frac{1}{30} \ dx\\\\= \frac{110-95}{30} \\\\= \frac{15}{30} \\\\= \frac{1}{2}$

6 0

2 years ago