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Korolek [52]
3 years ago
12

Convert 6/16 to a decimal

Mathematics
1 answer:
malfutka [58]3 years ago
7 0

Answer:

the decimal is 0.375

And the percentage of it would be 37.5(just adding that because why not)

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Derive the equation of the parabola with a focus at (3,1) and a directrix of y = 5
serg [7]
So hmmm  check the picture below

so... the vertex is "p" distance from the focus and the directrix, thus, the vertex is really half-way between both

in this case, 2 units up from the focus or 2 units down from the directrix, and thus it lands at 3,3

now, the "p" distance is 2, however, the directrix is up, the focus point is below it, the parabola opens towards the focus point, thus, the parabola is opening downwards, and the squared variable is the "x"

because the parabola opens downwards, "p" is negative, and thus, -2

now, let's plug all those fellows in then

\bf \begin{array}{llll}
(x-{{ h}})^2=4{{ p}}(y-{{ k}})\\
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ({{ h}},{{ k}})\\
{{ p}}=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\
-----------------------------\\\\

\begin{cases}
h=3\\
k=3\\
p=-2
\end{cases}\implies (x-3)^2=4(-2)(y-3)\implies (x-3)^2=-8(y-3)
\\\\\\
-\cfrac{(x-3)^2}{8}=y-3\implies \boxed{-\cfrac{1}{8}(x-3)^2+3=y}

5 0
4 years ago
there are two pictures on a wall. one is 12in × 4in and one is 9in ×6in. which on is larger and why?​
nata0808 [166]

Answer: 9in•6in

Step-by-step explanation:

12•4=48 inches

9•6=56 inches

4 0
4 years ago
The softball team is fundraising by washing cars. They paid $55.25 for supplies. If they
Arada [10]

Answer: Approximately 28

Step-by-step explanation: 55.25 + 250 = 305.25 next 305.25 ÷ 11 = 27.75 you can round to approximately 28

(Let me know if im wrong)

7 0
3 years ago
A box contains 35 gems, of which 10 are real diamonds and 25 are fake diamonds. Gems are randomly taken out of the box, one at a
USPshnik [31]

Answer:

Probability = 0.504

Step-by-step explanation:

Given

Gems= 35

Real = 10

Fake = 25

Required

Determine the probability of selecting two fakes

The probability can be represented as thus: P(Fake\ and\ Fake)

Using the following probability formula, we have:

P(Fake\ and\ Fake) = P(Fake) * P(Fake)

Each probability is calculated by dividing number of fakes by total number of gems:

P(Fake\ and\ Fake) = \frac{25}{35} * \frac{25-1}{35-1}

The minus 1 (-1) represent the numbers of fake and total gems left after the first selection

P(Fake\ and\ Fake) = \frac{25}{35} * \frac{24}{34}

P(Fake\ and\ Fake) = \frac{5}{7} * \frac{12}{17}

P(Fake\ and\ Fake) = \frac{60}{119}

P(Fake\ and\ Fake) = 0.504

<em>Hence, the required probability is approximately 0.504</em>

7 0
3 years ago
HELP I NEED HELP ASAP
antoniya [11.8K]
The width is w. the length is 2w - 4. to find area we would multiply these two together: w(2w - 4) & make sure to distribute the w to the 2w AND the -4. so the answer to this question would be 2w^2 - 4w (c). hope this helps!
6 0
3 years ago
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