All categories

3 years ago

Suppose we want to form five digit numbers using the set of digits 0 1 2 3

Mathematics

1 answer:

OleMash [197]3 years ago

8 0

1230 1203 1302 1320 1032 1023 2130 2103 2301 2310 2032 2023 3210 etc

You might be interested in

Write the equation of the line that passes through (-3,6) with a slope of -2

Ksenya-84 [330]

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

$\diamond\large\blue\textsf{\textbf{\underline{Given question:-}}}$

What is the equation of the line that passes through (-3, 6) and has a slope of -2?

$\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond$

First, we need to write the equation of the line in point-slope form:-

$\sf{y-y_1=m(x-x_1)}$

Replace y1 with 6, m with -2, and x1 with -3:-

$\sf{y-6=-2(x-(-3)}$

On simplification,

$\sf{y-6=-2(x+3)}$

On further simplification,

$\sf{y-6=-2x-6}$

Add 6 on both sides:-

$\it{y=-2x}$

<h3>Good luck with your studies.</h3>

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

6 0

2 years ago

The equation of a line given two points needs to be found. Samuel claims that slope-intercept form will generate the equation an

Nikitich [7]

Answer:

Helena is correct.

Step-by-step explanation:

The slope intersept form of the line is

y = m x + c

where, m is the slope and c is the intersept.

The point slope form of the equation is

$y - y'= \frac{y''-y'}{x''-x'}\times (x-x')$

So, if there are two points are given, the equation of line is found by the point slope form.

So, Helena is correct.

8 0

3 years ago

Which of the following represents the prime factorization of 72?

Free_Kalibri [48]

Answer:

2^3.3^2

Step-by-step explanation:

${2}^{3 ?} = 8 \\ {?3}^{2?} = 9 \\ 8 \times 9 = 72$

7 0

3 years ago

Read 2 more answers

How do you solve age word problems

Anna71 [15]

These videos might help you

https://www.khanacademy.org/math/algebra/systems-of-linear-equations/systems-of-linear-equations-wor...

5 0

3 years ago

Solve in attachment....

olga2289 [7]

Answer:

A)2

Step-by-step explanation:

we would like to integrate the following definite Integral:

$\displaystyle \int_{0} ^{1} 5x \sqrt{x} dx$

use constant integration rule which yields:

$\displaystyle 5\int_{0} ^{1} x \sqrt{x} dx$

notice that we can rewrite √x using Law of exponent therefore we obtain:

$\displaystyle 5\int_{0} ^{1} x \cdot {x}^{1/2} dx$

once again use law of exponent which yields:

$\displaystyle 5\int_{0} ^{1} {x}^{ \frac{3}{2} } dx$

use exponent integration rule which yields;

$\displaystyle 5 \left( \frac{{x}^{ \frac{3}{2} + 1 } }{ \frac{3}{2} + 1} \right) \bigg| _{0} ^{1}$

simplify which yields:

$\displaystyle 2 {x}^{2} \sqrt{x} \bigg| _{0} ^{1}$

recall fundamental theorem:

$\displaystyle 2 ( {1}^{2}) (\sqrt{1} ) - 2( {0}^{2} )( \sqrt{0)}$

simplify:

$\displaystyle 2$

hence

our answer is A

8 0

3 years ago

Read 2 more answers