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2 years ago

How many distinct arrangements can you make using the letters in the word experiment

1 answer:

8 0

E x p e r i m e n t

Total number of letters = 10

Repeated letters = 3 e

Total arrangement from the 10 letters = 10!

Because of the repeated letters = 10! / 3!

   = (10 × 9 × 8 × 7× 6 × 5 × 4 × 3!) / 3!

   = 10 × 9 × 8 × 7× 6 × 5 × 4

   = 604800

604800 distinct arrangements.

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Plot the vertex and the axis of symmetry of this function on the provided graph. f(x) = (x + 2)2 − 6

Nookie1986 [14]

Answer:

See attached image

Step-by-step explanation:

This equation for a parabola is given in vertex form, so it is very simple to extract the coordinates of its vertex, by using the opposite of the number that accompanies the variable "x" in the squared expression (opposite of 2) for the vertex's x-value, and the value of the constant (-6) for the vertex's y-value.

The vertex coordinates are therefore: (-2,-6)

The equation of the axis of symmetry of the parabola is a vertical line passing through the vertex. Since all vertical lines have the shape x = constant in our case, in order to pass through (-2,-6) the vertical line is defined by the equation: x = -2.

See image attached to find the vertex drawn as a red point, and the axis of symmetry as an orange vertical line passing through it.

3 0

2 years ago

Find the projection of u onto v<br> URGENT HELP

padilas [110]

Given:

Two vectors are:

$u=\left$

$v=\left$

To find:

The projection of u onto v.

Solution:

Magnitude of a vector $v=\left$ is:

$|v|=\sqrt{a^2+b^2}$

Dot product of two vector $v_1=\left$ and $v_2=\left$ is:

$v_1\cdot v_2=a_1a_2+b_1b_2$

Formula for projection of u onto v is:

$Proj_vu=\dfrac{u\cdot v}{|v|^2}v$

$Proj_vu=\dfrac{\left \cdot \left }{(\sqrt{2^2+17^2)^2}}\left$

$Proj_vu=\dfrac{0\cdot 2+6\cdot 17}{4+289}\left$

$Proj_vu=\dfrac{0+102}{293}\left$

On further simplification, we get

$Proj_vu=\dfrac{102}{293}\left$

$Proj_vu=\left$

Therefore, the projection of u onto v is $Proj_vu=\left$ .

3 0

2 years ago

Your supposed to find the angle of the triangle but I know the answer 145 but I want to know how you get the answer

Inga [223]

A straight line adds up to 180
So the line opposite of 137 should add up to 180
This gives us the equation 137+x=180 then x=43

The triangle also adds up to 180 degrees
So 102+43+x=180
The equation can be simplified to 145+x=180 therefore x=35

So x+?=180 because it is a straight line.
We can substitute x in making the equation 35+?=180
Now we want to solve for the ? so we'll subtract 35 from each side
This leaves us with the equation ?=145

So we now know that the ?=145

4 0

2 years ago

What times 6 equals 120

Gnoma [55]

20 beacause 120 divided by 6 equals 20 so 60x20=120

7 0

2 years ago

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Aiden has $15.00 on his copy card. Each time he uses the card to make a photocopy, $0.06 is deducted from his card. Aiden wants

melamori03 [73]

15 - 0.06X=5
would be
X=166 2/3

4 0

2 years ago

Read 2 more answers