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3 years ago

7. Evaluate 4P2 O 22 O 12 O 14 5

Mathematics

1 answer:

Reika [66]3 years ago

5 0

Answer:

Step-by-step explanation:

To evaluate 4P2, we will use the permutation formula as shown;

nPr = $\frac{n!}{(n-r)!}$

4P2 = $\frac{4!}{(4-2!}$

$= \frac{4!}{2!} \\= \frac{4*3*2!}{2!}\\ = 4*3\\= 12$

4P2 = 12

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Find the surface area of the triangular prism

ArbitrLikvidat [17]

Answer:

168.43524

Step-by-step explanation:

A=ah+bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=7·6+7·6+7·6+1

2·﹣74+2·(7·7)2+2·(7·7)2﹣74+2·(7·7)2﹣74≈168.43524

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3 years ago

Given the graph, find an equation for the parabola.

Sauron [17]

Answer:

$\Large \boxed{\sf \bf \ \ y=\dfrac{1}{16}(a-3)^2-2 \ \ }$

Step-by-step explanation:

Hello, please consider the following.

When the parabola equation is like

$y=a(x-h)^2+k$

The vertex is the point (h,k) and the focus is the point (h, k+1/(4a))

As the vertex is (3,-2) we can say that h = 3 and k = -2.

We need to find a.

The focus is (3,2) so we can say.

$2=-2+\dfrac{1}{4a}\\\\\text{*** We add 2. ***}\\\\\dfrac{1}{4a}=2+2=4\\\\\text{*** We multiply by 4a. ***}\\\\16a=1\\\\\text{*** We divide by 16. ***}\\\\a=\dfrac{1}{16}$

So an equation for the parabola is.

$\large \boxed{\sf y=\dfrac{1}{16}(a-3)^2-2 }$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

4 0

3 years ago

Which expression represents a factorization of 16a - 24ab

Mamont248 [21]

Find the factors of 16 and -24

16 = 8 x 2

-24 = 8 x -3

Note that both terms have "a" in it. Factor a out too

Answer:

8a(2 - 3b)

hope this helps

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3 years ago

16 liters to fraction

Tcecarenko [31]

Answer:

16 liters to a fraction would be 4.2 or 4 1/5

Step-by-step explanation:

16 liters = 4.22675 gallons

4.2 gallons = 4 1/5 gallons

7 0

3 years ago

Read 2 more answers

the Student Government wants to sell magazines subscription to make a profit of at least $3,000. They make $1.25 per m magazine

IRINA_888 [86]

The student Government wants to make a profit of at least $3000 from a magazines sales. At least $3000 simply means the profit should be $3000 and above.

There profit is $1.25 per magazine(m) subscription sold.

Their expenses are as follows

advertisement in school = $100

advertisement in community = $150

let

m = number of magazine sold

profit = selling price - cost price

selling price

$1.25\times m=1.25m$

Cost price

$100+150=\text{\$}250$

Therefore,

$\begin{gathered} 1.25m-250\ge3000 \\ \text{divide through by 1.25} \\ \frac{1.25m}{1.25}-\frac{250}{1.25}\ge\frac{3000}{1.25} \\ m-200\ge2400 \end{gathered}$

8 0

1 year ago