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3 years ago

1.Which biotic factors do you see in the photo?

Mathematics

1 answer:

Alex Ar [27]3 years ago

5 0

1. the fish, the plant, the starfish in the background

2. the water and the rocks

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A restaurant offers a special pizza with any 4 toppings. If the restaurant has 15 topping from which to choose, how many differe

OlgaM077 [116]

Answer: 1,365 possible special pizzas

Step-by-step explanation:

For the first topping, there are 15 possibilities, for the second topping, there are 14 possibilities, for the third topping, there are 13 possibilities, and for the fourth topping, there are 12 possibilities. This is how you find the number of possible ways.

15 * 14 * 13 * 12 = 32,760

Now, you need to divide that by the number of toppings you are allowed to add each time you add a topping.

4 * 3 * 2 * 1 = 24

32,760 / 24 = 1,365

There are 1,365 possible special pizzas

8 0

3 years ago

Solve for k 5/8(3k+1)-1/4(7k+2)=1

lesya [120]

Answer:

Step-by-step explanation:

$\dfrac{5}{8}(3k+1)-\dfrac{1}{4}(7k+2)=1\qquad\text{multiply both sides by 8}\\\\8\!\!\!\!\diagup^1\cdot\dfrac{5}{8\!\!\!\!\diagup_1}(3k+1)-8\!\!\!\!\diagup^2\cdot\dfrac{1}{4\!\!\!\!\diagup_1}(7k+2)=8\cdot1\\\\5(3k+1)-2(7k+2)=8\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(5)(3k)+(5)(1)+(-2)(7k)+(-2)(2)=8\\\\15k+5-14k-4=8\qquad\text{combine like terms}\\\\(15k-14k)+(5-4)=8\\\\k+1=8\qquad\text{subtract 1 from both sides}\\\\k=7$

3 0

3 years ago

Find the surface area of the composite figure

Maslowich

Answer:

498

Step-by-step explanation:

For the blue block: 4(7x2) + 2(2x2) = 56 + 8 = 64

For green block: 4(12x7) + 2(7x7) = 336 +98 = 434

434 + 64 = 498

3 0

3 years ago

Y=-x-4 <br>y=x<br><br>solve system of equations algebraically

Serhud [2]

Answer:

y=-2 x=-2

Step-by-step explanation:

y=-x-4

y=x

you can plug y in for x in the first equation by using substitution

y=-y-4

and then you solve for y

2y=-4

y=-2

so y equals -2. Since y=x, x also equals -2. Therefore

y=-2 x=-2

4 0

3 years ago

Find an equation of the parabola with focus (2, −3) and directrix y = 1.

Likurg_2 [28]

Answer:

Step-by-step explanation:

The correct option is option (C).

The required equation of the parabola is

Step-by-step explanation:

Formula:

The distance of a point (x₁,y₁) from a line ax+by+c=0 is

The distance between two points (x₁,y₁) and (x₂,y₂) is

Given that, the focus of the parabola is (2,3) and directrix y= - 1.

We know that, a parabola is the locus of points that equidistant from the directrix and the focus.

Let any point on the parabola be P(x,y) .

The distance of P from the directrix is

=y+1

The distance of the point P from the focus (2,3) is

According to the problem,

The required equation of the parabola is

5 0

3 years ago