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3 years ago

Five toppings for a pizza are available at Polina's Pizza. How many combinations of two different toppings are possible?

1 answer:

8 0

Evaluate

C This gives you the # of combinations possible from 5 choices taken
5 2 2 at a time. The answer is 10. I used my calculator to find this.

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1.) Write an equation of the line that passes through the point (3,-2) and is

GarryVolchara [31]

Answer:

y = 2x - 8

Step-by-step explanation:

8 0

3 years ago

Let f(x)= x(2x-3)/(x+2)x. Find the domain, vertical and horizontal asymptote

Reptile [31]

Step-by-step explanation:

Domain of a rational function is everywhere except where we set vertical asymptotes. or removable discontinues

Here, we have

$\frac{x(2x - 3)}{(x + 2)x}$

First, notice we have x in both the numerator and denomiator so we have a removable discounties at x.

Since, we don't want x to be 0,

We have a removable discontinuity at x=0

Now, we have

$\frac{2x - 3}{x + 2}$

We don't want the denomiator be zero because we can't divide by zero.

$x + 2 = 0$

$x = - 2$

So our domain is

All Real Numbers except-2 and 0.

The vertical asymptors is x=-2.

To find the horinzontal asymptote, notice how the numerator and denomator have the same degree. So this mean we will have a horinzontal asymptoe of

The leading coeffixent of the numerator/ the leading coefficent of the denomiator.

So that becomes

$\frac{2}{1} = 2$

So we have a horinzontal asymptofe of 2

7 0

2 years ago

Element X is a radioactive isotope such that its mass decreases by 26% every day. If an experiment starts out with 810 grams of

ioda

Answer:

The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.

The function to represent the mass of the sample after t days is $A(t) = 810(0.74)^t$

Step-by-step explanation:

Exponential equation of decay:

The exponential equation for the amount of a substance is given by:

$A(t) = A(0)(1-r)^t$

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Hourly rate of change:

Decreases 26% by day. A day has 24 hours. This means that $A(24) = (1-0.26)A(0) = 0.74A(0)$ ; We use this to find r.

$A(t) = A(0)(1-r)^t$

$0.74A(0) = A(0)(1-r)^{24}$

$(1-r)^{24} = 0.74$

$\sqrt[24]{(1-r)^{24}} = \sqrt[24]{0.74}$

$1 - r = (0.74)^{\frac{1}{24}}$

$1 - r = 0.9875$

$r = 1 - 0.9875 = 0.0125$

The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.

Starts out with 810 grams of Element X

This means that $A(0) = 810$

Element X is a radioactive isotope such that its mass decreases by 26% every day.

This means that we use, for this equation, r = 0.26.

The equation is:

$A(t) = A(0)(1-r)^t$

$A(t) = 810(1 - 0.26)^t$

$A(t) = 810(0.74)^t$

The function to represent the mass of the sample after t days is $A(t) = 810(0.74)^t$

5 0

3 years ago

What is the volume of this sphere <br> Use π=3.14 and round your answer to the nearest hundredth

Alina [70]

The answer is 523.6 and all you have to do is round it to the nearest hundredth

7 0

2 years ago

Please Do These Three Equations And Show Work

german

2) Add 0.1 to both sides. v/2.2=7.5

Then multiply by 2.2 on both sides.

v=16.5

4) Subtract 1.9 from both sides. -1.3g=-13

Divide both sides by -1.3

g=10

6) Add 1.4 to both sides. -12.9=-3d

Divide -3 on both sides.

d=4.3

3 0

3 years ago