What is the simplified expression for the expression belov

Mathematics

1 answer:

11111nata11111 [884]3 years ago

6 0

Answer: 9x + 17

Step-by-step explanation: Add 4x and 5x and you get 9x. Next take away 15 from 32 and you get 17 therefore the answer wuld be 9x + 17.

You might be interested in

How many }2 /3 cups servings are in a 4 cup container of food?

monitta

Answer 83

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

David is going to invest $290 and leave it in an account for 15 years.

ankoles [38]

4.5%. if you want the steps go to a website called calculator soup.

6 0

3 years ago

Celia is staring at the clock waiting for school to end so that she can go to track practice. She notices that the 4-inch-long m

sineoko [7]

Well, we know the minute hand is 4 inches long, thus, the radius of the circular clock is 4 then :)

part 1)

now, there are 360° in a circle.... the clock has 60 minutes, or 60 even intervals...now, how many degrees is it for each minute? well, let's divide 360° by 6 then, 360/6 is just 6. That means each minute to the next, is 6°, well, how many radians is that? well, we know there are π radians in 180°, so, how many radians in 6° then?

$\bf \begin{array}{ccllll}
radians&de grees\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\pi &180\\
x&6
\end{array}\implies \cfrac{\pi }{x}=\cfrac{180}{6}\implies \cfrac{\pi }{x}=30\implies \cfrac{\pi }{30}=x$

so, there are π/30 radians in 6°.

now, from 1:25 to 1:50 is 25 minutes, and thus 25 * π/30 radians, or 5π/6 radians.

part 2)

what is the arc made by those 25 minutes?

$\bf \textit{arc's length}\\\\
s=r\theta \qquad 
\begin{cases}
r=radius\\
\theta =\textit{angle in radians}\\
----------\\
r=4\\
\theta =\frac{5\pi }{6}
\end{cases}\implies s=4\cdot \cfrac{5\pi }{6}
\\\\\\
s=\cfrac{10\pi }{3}\implies s\approx 10.4719755\ inches$

6 0

4 years ago

Read 2 more answers

Kraig deposited money into a money market account. It has an interest of 12% and is compounded annually. Kraig thought 3% would

Klio2033 [76]

Answer:

If the amount is P, with the interest rate of 12%, the interest over the year is:

P*(1.12) - P = 0.12P

In this case the quarterly interest rate is:

0.12P/4 = 0.03P

With the same amount and 3% quarterly rate, the yearly interest would be:

P*(1.03)^4 - P = 0.1255P

The quarterly interest rate in this case is:

0.1255P/4 = 0.031375P

If the quarterly interest rate is r, it should be little less than 3% to yield a 12% yearly rate.

So Kraig is wrong.

7 0

3 years ago

A colony of fruit flies exhibits exponential growth. suppose that 500 fruit flies are present. let p(t) denote the number of fru

murzikaleks [220]

I FOUND YOUR COMPLETE QUESTION IN OTHER SOURCES.
SEE ATTACHED IMAGE.

Part A:
The differential equation is:
y '= 0.08y
The initial condition is:
P (0) = 500

Part B:
The formula for this case is:
P (t) = 500exp (0.08 * t)

Part C:
After five days we have to evaluate t = 5 in the equation.
We have then:
P (5) = 500 * exp (0.08 * 5)
P (5) = 745.9123488
Rounding:
P (5) = 746

4 0

3 years ago