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2 years ago

Find the pre-image of 5 in the function g(x) = 5x?

Mathematics

1 answer:

Vlada [557]2 years ago

5 0

Answer:

pre-image also means domain

so the value of X is 5

so 5x = 5×5

the answer is 25

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A chemist has 5 1/10 kg of calcium chloride. If she uses 0.15 kg of the compound each time she performs and experiment, for how

Licemer1 [7]

Answer:

5 1/10 ÷ .15 is 34 so she will be able to perform 34 experiments

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2 years ago

He floor of a moving van is 3 feet off of the ground. The ramp into the van makes a 12° angle with the ground. About how long is

soldier1979 [14.2K]

Given :

Hight of the van from the ground, h = 3 feet.

The ramp into the van makes a 12° angle with the ground.

To Find :

How long is the ramp.

Solution :

Let, length of ramp is l .

So, height of ramp in terms of length is given by :

$h = l \times sin\ 12^o\\\\l = \dfrac{h}{sin \ 12^o}\\\\l = \dfrac{3}{sin \ 12^o}\\\\l = 14.429 \ feet$

Hence, this is the required solution.

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2 years ago

An open rectangular box having a volume of 108 in.3 is to be constructed from a tin sheet. Find the dimensions of such a box if

murzikaleks [220]

Answer:

6 in x 6 in x 3 in.

Step-by-step explanation:

Given

V = xyz = 108 ⇒ z = 108/(xy)

The amount of the material used is

S = xy + 2yz + 2xz

Put value of z from the volume

S = xy + 2y*108/(xy) + 2x*108/(xy) = xy + 216/x + 216/y

Now, we find the relative minimum of the function S(x,y)

First, we find the critical point. Set Sx = 0 and Sy = 0

and solve this system:

Sx(x,y) = y - (216/x²) = 0

Sy(x,y) = x - (216/y²) = 0

From the first equation we have

y = 216/x²

Put it in the second equation and find x

x - (216/(216/x²)²) = 0

⇒ x*(1 - (x³/216)) = 0

⇒ x₁ = 0 and x₂ = 6

Now, we can find y as follows

y₁ = 216/(0)² which is undefined

y₂ = 216/(6)² = 6

Hence, the only critical point of S is (6, 6). Next, we calculate the second ordered derivatives that we need for the second derivative test:

Sxx(x,y) = 432/x³

Sxy(x,y) = 1

Syy(x,y) = 432/y³

Applying the second derivative test

D(6, 6) = Sxx(6, 6)*Syy(6, 6) - S²xy(6, 6) = 2*2 - 1² = 4 -1 = 3 > 0

Sxx(6, 6) = 2 > 0

Since D(6, 6) > 0 and Sxx(6, 6) > 0 we can conclude that S has a relative minimum at (6, 6).

z coordinate is:

z = 108/(xy) = 108 / (6*6) = 3

Finally, the dimentions of a box are 6 in x 6 in x 3 in.

6 0

3 years ago

36.25= 45.5% of ____

aev [14]

Answer:

36.25 is equal to the 45.5% of 79.67

Step-by-step explanation:

To solve this you just have to find the value that represents the 100%.

To do this, you can use the Rule of Three that allows you to solve problems of proportions.

In this case, you know that the 45.5% of the magnitude <em>X </em>is 36.25, now you have to find the value which corresponds to the 100%.

Mathematically it will be:

$\frac{X}{36.25} =\frac{100}{45.5}$

Then you have to solve the equation to find <em>X</em>:

$X=\frac{100}{45.5}*36.25$

And finally, the answer is:

$X=79.67$

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3 years ago

How many solutions does 4x+2y=-8,2x+y=4

sweet-ann [11.9K]

0=0
Infinite solutions

7 0

2 years ago

Read 2 more answers

Find the pre-image of 5 in the function g(x) = 5x?​

Find the pre-image of 5 in the function g(x) = 5x?