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4 years ago

Rational equation find the value of x ? 5x/6+1/3=7/12

1 answer:

5 0

If you would like to find the value of x, you can do this using the following steps:

5x/6 + 1/3 = 7/12 /*6
5x + 2 = 7/2
5x = 7/2 - 2
5x = 7/2 - 4/2
5x = 3/2 /5
x = 3/2 / 5/1 = 3/2 * 1/5 = 3/10

The correct result would be: x = 3/10.

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In mr. Lee's store, he has14 starburst, 12 twix, 10 snickers, and 4 kitkat. What percent of candy are twix?

Anuta_ua [19.1K]

Answer:

30%

Step-by-step explanation:

3 0

3 years ago

Water is drained out of tank, shaped as an inverted right circular cone that has a radius of 16cm and a height of 8cm, at the ra

andriy [413]

Let h=height of water
Let r=radius of water surface
r/h=16/8 =2, so r=2h.
The volume of water is:
v=(1/3)×π×r²×h
=(1/3)×π×(2h)²×h
=4/3πh³
dv/dh=4πh^2
By chain rule:
dv/dt=dv/dh×dh/dt
but
dv/dt=4
thus:
4=(4πh)×dh/dt
dh/dt=4/(4πh²)
when h=6cm we have:
dh/dt=4/(4π6²)
=0.00884 cm³/min

8 0

4 years ago

Read 2 more answers

Can someone help me with 19, 20, 23, and 24.

Aleksandr [31]

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7 0

3 years ago

IM BEING TIMED, WILL GIVE 25 POINTS (NEEDED WITHIN THE NEXT 20 MINUTES The graph g(x)=x^3-x is shown. (idk how to screenshot, so

saveliy_v [14]

Answer:

The function is

$f(x)=0.5x^3-3x^2+5.5x-2$

The graph is attached.

Step-by-step explanation:

We have a function g(x) and we need to graph a new function that is function of g(x).

The final function is

$f(x)=0.5\cdot g(x-2)+1$

We start by calculating g(x-2):

$g(x-2)=(x-2)^3-(x-2)\\\\g(x-2)=(x^3-6x^2+12x-8)-(x-2)\\\\g(x-2)=x^3-6x^2+11x-6$

Then, we can calculate f(x) as:

$f(x)=0.5\cdot g(x-2)+1\\\\g(x-2)=x^3-6x^2+11x-6\\\\\\f(x)=0.5(x^3-6x^2+11x-6)+1\\\\f(x)=0.5x^3-3x^2+5.5x-3+1\\\\\\f(x)=0.5x^3-3x^2+5.5x-2$

5 0

3 years ago

Assume that females have pulse rates that are normally distributed with a mean of p= 75.0 beats per minute and a standard deviat

Ivan

We have a normally distributed population with a mean of 75 and a standard deviation of 125. The probability of finding a female with a pulse rate smaller than 82 is given by the area under the curve of the corresponding normal distribution from negative infinte to 82. In order to find this area first we need to pass from our normal distribution to one with a mean value of 0 and a standard deviation of 1. In order to do this we do the following calculation:

$\frac{x-p}{o}=\frac{x-75}{125}$

So we take x=82:

$\frac{82-75}{125}=0.056$

This value is known as the z value. It indicates the value of 82 in the [0,1] normal distribution. The following step is to look for this value in a z-table. Since 0.05 is the closest smaller value to 0.056 in the table we choose it:

So for a z value of 0.05 the table give us the number 0.5199. This means that the area under the curve between negative infinite and 82 beats per minute is 0.5199*total area under the curve. This means that the probability to find a female with a pulse under 82 beats is 0.5199. As a percentage it would be 51.99%.

4 0

1 year ago