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3 years ago

Write an equation for the translation of y = |x|.

Mathematics

1 answer:

allochka39001 [22]3 years ago

4 0

Answer:

y = |x + 6|

Step-by-step explanation:

You can check by graphing y = |x + 6|

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A patient has 0.0000075 gram of iron in 1 liter of blood. The normal level is between 6* 10^-7 grams and 1.6*10^-5 grams. Is the

Vinil7 [7]

0.0000075 = 7.5 x 10^6 --- Patients Blood

and it has to be between 0.0000006 and 0.000016

so Yes it is normal

4 0

3 years ago

Which expression is equivalent to 5! 5^4*3^2 5-4-3-2-1 5.4.3-2.1 5+4+3+2+1 5.1

baherus [9]

The first one is like 5x5x5x5 which is 625 multiplied by 3x3 which is 9 and together the product will be 5,625.

The second one is 5-4 which is 1-3 which is -2 - 2 = -4 - 1 which is -5 so it’s not it because it’s the opposite of the number we need to find.

The third one is kind of messed up because there’s no such thing as 5.4.3 so sorry I can’t do that one.

The fourth one is 15 because you basically add the numbers up.

And the fifth is not 5. It’s 5.1 so that’s not it either.

So I’m sorry I can’t find the answer but at least I have you some background :/

6 0

3 years ago

If n is a positive integer, how many 5-tuples of integers from 1 through n can be formed in which the elements of the 5-tuple ar

erma4kov [3.2K]

Answer:

$\frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{120}$

Step-by-step explanation:

Given

5 tuples implies that:

$n = 5$

$(h,i,j,k,m)$ implies that:

$r = 5$

Required

How many 5-tuples of integers $(h, i, j, k,m)$ are there such that $n\ge h\ge i\ge j\ge k\ge m\ge 1$

From the question, the order of the integers h, i, j, k and m does not matter. This implies that, we make use of combination to solve this problem.

Also considering that repetition is allowed: This implies that, a number can be repeated in more than 1 location

So, there are n + 4 items to make selection from

The selection becomes:

$^{n}C_r => ^{n + 4}C_5$

$^{n + 4}C_5 = \frac{(n+4)!}{(n+4-5)!5!}$

$^{n + 4}C_5 = \frac{(n+4)!}{(n-1)!5!}$

Expand the numerator

$^{n + 4}C_5 = \frac{(n+4)!(n+3)*(n+2)*(n+1)*n*(n-1)!}{(n-1)!5!}$

$^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{5!}$

$^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{5*4*3*2*1}$

$^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{120}$

Solved

6 0

2 years ago

The parallel line of the AC line intersects the sides AB and BC of the triangle ABC, respectively, at the points M and N, AM: MB

amid [387]

Answer:

it equals 125

Step-by-step explanation:

8 0

3 years ago

A cylindrical pressure vessel has a height of 9 feet and a diameter of 6 feet. How much gas can the pressure vessel hold when fu

notka56 [123]

since the diameter of the base of the cylinder is 6 feet, then its radius is half that, or 3 feet.

$\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h~~
\begin{cases}
r=radius\\
h=height\\[-0.5em]
\hrulefill\\
r=3\\
h=9
\end{cases}\implies V=\pi (3)^2(9)\implies V=81\pi$

5 0

2 years ago

Read 2 more answers