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3 years ago

Write the fraction in lowest terms. 13/17

Mathematics

2 answers:

Natasha2012 [34]3 years ago

5 0

Those are both prime numbers so so there the lowest

Dmitry [639]3 years ago

3 0

13/17 is at the lowest because they are both prime numbers.

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Given that ∠Ф = 180°, determine the numerical value of this function.

Rudiy27

Answer:

The answer to your question is 3. 0

Step-by-step explanation:

For an angle of 180°:

- hypotenuse = 1

- Adjacent side = 1

- Opposite side = 0

Then, sin Ф = $\frac{Opposite side}{Hypotenuse}$

sin 180° = $\frac{0}{1}$

sin 180° = 0

8 0

3 years ago

Given the relationship x2 + 3y2 =12, with y > 0 and dx, dt = 2 units/min., find the value of dy, dt at the instant y = 1 unit

matrenka [14]

$\bf x^2+3y^2=12\implies \stackrel{chain~rule}{2x\cfrac{dx}{dt}}+3 \stackrel{chain~rule}{\left(2y\cfrac{dy}{dt}\right)}=0
\\\\\\
2x\cfrac{dx}{dt}+6y\cfrac{dy}{dt}=0
\implies 
6y\cfrac{dy}{dt}=-2x\cfrac{dx}{dt}\implies \cfrac{dy}{dt}=\cfrac{-2x\frac{dx}{dt}}{
6y\frac{dy}{dt}}
\\\\\\
\boxed{\cfrac{dy}{dt}=-\cfrac{x\frac{dx}{dt}}{3y}}\\\\
-------------------------------$

$\bf \textit{now, when y = 1, what is \underline{x}?}\qquad x^2+3y^2=12\implies x^2+3(1)^2=12
\\\\\\
x^2=9\implies x=\sqrt{9}\implies x=3\\\\
-------------------------------\\\\
\begin{cases}
y=1\\
x=3\\
\frac{dx}{dt}=2
\end{cases}\implies \cfrac{dy}{dt}=-\cfrac{3\cdot 2}{3\cdot 1}\implies \cfrac{dy}{dt}=-2$

7 0

3 years ago

Karen has a summer job as a swim instructor. she gets paid $4 per hour for the first 20 hours and $6 per hour for each hour in t

Misha Larkins [42]

She would need to work 24 hours because the first 20hrs x $4 is $80 $104-$80 = 24
24\6= 4 20 plus 4 is 24

4 0

3 years ago

Drag each tile to the correct location on the table.

RoseWind [281]

Short-term investments characteristics are:

More affected by rapid market changes.
Taxed at a higher rate.
Subject to more transaction fees.
Incurs more annual brokerage fees.

<h3>What are Long-Term Investments?</h3>

Others are:

Long-term investments characteristics are:

Carries the risk of higher inflation.

Long-term investments are known to be a kind of assets that people or a firm intends to keep for a long period of time that is usually more than three years.

Note that Long-term investors usually take on a high degree of risk when one is said to be after higher returns.

Learn more about investments from

brainly.com/question/1305349

#SPJ1

4 0

2 years ago

Which of the following statements is false regarding randomization?

MrRissso [65]

Answer:

II) randomization helps avoid blas

Step-by-step explanation:

3 0

3 years ago