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3 years ago

4x/5-12=20 PLEASE I REALLY NEED HELP

1 answer:

8 0

$\dfrac{4x}{5}-12=20\ \ \ \ |add\ 12\ to\ both\ sides\\\\\dfrac{4x}{5}=32\ \ \ \ |multiply\ both\ sides\ by\ 5\\\\4x=160\ \ \ \ |divide\ both\ sides\ by\ 4\\\\\boxed{x=40}$

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The radius r of the base of a cone is given by the equation r=(3V/piH)

lyudmila [28]

Answer:

Step-by-step explanation:

Given the expression to calculate the radius r of the base of a cone is given by the equation

r=(3V/piH)

v is the volume = 5in^3

H = 4in

pi = 3.14

Substitute

r = 3(5)/3.14(4)

r = 15/12.56

r = 1.19

r = 1in to the nearest inch

5 0

3 years ago

A certain country has $10 billion in paper currency in circulation, and each day $50 million comes into the country's banks. The

mash [69]

Answer:

$\bf x(t)=10(1-e^{-0.005*t})$

Step-by-step explanation:

The differential equation

$\bf \displaystyle\frac{dx}{dt}=0.005(10-x)$

can be solved by separation of variables. Write the equation as

$\bf \displaystyle\frac{dx}{10-x}=0.005dt$

Integrate on both sides

$\bf \int\displaystyle\frac{dx}{10-x}=\int0.005dt\Rightarrow -ln(10-x)=0.005t+C\Rightarrow\\\\\Rightarrow ln(10-x)^{-1}=0.005t+C\Rightarrow (10-x)^{-1}=e^{0.005t}e^C$

where C is a constant.

$\bf e^C$ is also a constant and we will keep calling it C, (there is no reason to change the letter). We have then

$\bf (10-x)^{-1}=Ce^{0.005t}\Rightarrow \displaystyle\frac{1}{10-x}=Ce^{0.005t}\Rightarrow 10-x=\displaystyle\frac{1}{Ce^{0.005t}}\Rightarrow\\\\\Rightarrow x(t)=10-(1/C)e{-0.005t}$

(1/C) is a constant, and for the same reason we will keep calling it C. So the general solution is

$\bf x(t)=10-Ce^{-0.005t}$

Now, we use the initial condition x(0)=0

$\bf x(0)=10-Ce^{-0.005*0}=0\Rightarrow C=10$

and the particular solution is

$\bf x(t)=10-10e^{-0.005*t}=10(1-e^{-0.005*t})\\\\\boxed{x(t)=10(1-e^{-0.005*t})}$

7 0

3 years ago

I REALLY NEED HELP!!!PLSSS

kakasveta [241]

Step-by-step explanation:

(a^-7)/a^10 = a^(-7-10) => B

6 0

3 years ago

-(-1/3) + 2/5 - (-1 1/3) - (-3/5)

algol13

1/3+2/5+4/3+3/5=8/3
Steps
A double negative makes a positive.
So, change all double negatives to positives (to simplify it)
1/3 + 2/5 + 1+1/3 + 3/5
What's the least common denominator here?
Yes, it is 15!
Change the fractions to that denominator
5/15 + 6/15 + 1+5/15 + 9/15
change 1+5/15 to 20/15, then add the fractions
Result: 40/15
Divide numerator and denominator both by the greatest common factor:5
8/3

5 0

4 years ago

The circumference of a circle is 25.12 cm. What is the area of the circle? (Use 3.14 for π)

marshall27 [118]

The area is 50.214 cm2

~Hope this helped~

3 0

3 years ago