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Iteru [2.4K]
3 years ago
6

5​, -15​, 60​, -300​, 1,800​, -12,600​

Mathematics
1 answer:
Butoxors [25]3 years ago
8 0

Answer:

in steps

Step-by-step explanation:

recursive formula:

A(1) = 5

A(n) =  A(n-1) x (-n-1)

A(2) =  5 x (-2-1) = - 15

A(3) = - 15 x (-3-1) = 60

A(4) = 60 x (-4-1) = - 300

A(5) = - 300 x (-5-1) = 1800

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I didnt mean to write this question so I guess Ill just write this down because Ive got to put something.
jasenka [17]

Answer:

Thx

Step-by-step explanation:

so its free points right?

6 0
3 years ago
A pizza place offers 2 different types of crust, 3 different types of cheese, and the option of 5 different toppings. How many d
ipn [44]

if we're going with single topping, single cheese per pizza, the answer is 30.

3 0
3 years ago
Your sock drawer has two white socks, four brown socks, and two black socks. You randomly pick a sock and put it on your left fo
zmey [24]

Answer:

The probability of this occurring is 1/7

Step-by-step explanation:

Okay, here is a probability question.

From the question, we can identify the following;

Total number of socks = 2 + 4 + 2 = 8 socks

Since we are not given the order in which the socks was worn, we can assume any order.

Let’s say the right leg socks was worn first.

From the question, the socks on the right leg is a brown one.

So now let’s calculate the probability of selecting a brown socks out of the mix

That would be ;

number of brown socks/ total number of socks = 4/8 = 1/2

Now, for the left foot, we are having white sock here.

Kindly recall that since we already have a sock on the right foot, we have 7 socks left to pick from.

Now we need the probability of picking a white sock from the total 7. That would be ; 2/7

So the probability of both action occurring is simply the product of both probabilities and that is ;

1/2 * 2/7 = 1/7

6 0
3 years ago
The focus of a parabola is (0, -3) and the directrix is y = 3. What is the equation of the parabola?
OleMash [197]

Answer:

The equation of the parabola is y = -12\cdot x^{2}.

Step-by-step explanation:

Since the directrix is of the form y = a, the parabola is vertical. The vertex of the parabola (V(x,y)) is the midpoint between the focus (F(x,y)) and a point of the directrix (P(x,y)), that is to say:

V(x,y) = \frac{1}{2}\cdot F(x,y) + \frac{1}{2}\cdot P(x,y) (1)

If we know that F(x,y) = (0, -3) and P(x,y) = (0, 3), then the coordinates of the vertex of the parabola:

V(x,y) = \frac{1}{2}\cdot (0, -3) + \frac{1}{2}\cdot (0, 3)

V(x,y) = (0, 0)

The vertex factor (p) is the distance of the focus with respect to the vertex:

p = \sqrt{[F(x,y)-V(x,y)]\,\bullet \,[F(x,y)-V(x,y)]} (2)

If we know that F(x,y) = (0, -3) and V(x,y) = (0, 0), then the vertex factor is:

p = \sqrt{0^{2}+(-3)^{2}}

p = -3

The equation of the parabola in the vertex form is described below:

y - k = 4\cdot p \cdot (x-h)^{2} (3)

Where:

x - Independent variable.

y - Dependent variable.

h, k - Coordinates of the vertex.

If we know that (h,k) = (0, 0) and p = -3, then the equation of the parabola is y = -12\cdot x^{2}.

6 0
3 years ago
Which is a true statement?
julsineya [31]
B.  <span>–4.37 < –1.63  is the true statement. -4.37 is less than -1.63
</span>
A. <span>–4.28 > –3.56 * should be less than
</span>C. <span>5.7 < 5.63      * should be greater than
</span>D. -13.90 > 4.63 *should be less than

In dealing with negative numbers, the greater the negative number is, the lesser its value. 4.37 is a greater number than 1.63 in its positive form, however, its negative form give 4.37 a lesser value than 1.63 in its negative form. 
7 0
3 years ago
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