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2 years ago

Find an ordered pair (x, y) that is a solution to the equation x-6y=6

Mathematics

1 answer:

Tpy6a [65]2 years ago

3 0

Answer:

18,2

Step-by-step explanation:

you have 18 - (6*2) which is 12 equals 6

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The diameter of a spherical balloon that is being filled with air is increasing at the rate of 3 inches more than the time, t. W

Harrizon [31]

Answer:

$V=36 \pi$ cubic inches

Step-by-step explanation:

Diameter is increasing at 3 inches more than time, When t = 3

Diameter (d) = 3+3 = 6

d = 6

Radius is HALF of diameter, so

r = 6/2 = 3

Now, the volume of a sphere is given by the formula:

$V=\frac{4}{3}\pi r^3$

Putting r = 3, we get:

$V=\frac{4}{3}\pi r^3\\V=\frac{4}{3}\pi (3)^3\\V=36 \pi$

The volume would be 36π

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2 years ago

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oee [108]

Answer:

Step-by-step explanation:

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3 years ago

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In a pizza store, there are six possible toppings. On a large pizza, you can have 3 toppings. How many combinations of pizza top

valina [46]

Answer:

Step-by-step explanation:

The questions asks about Combinations of Pizza toppings, so by employing the Combination Formula:

$C(n, k) = \frac{n!}{k!(n-k)!}$

$C(6, 3) = \frac{6!}{3! \cdot 3!} = \frac{6 \cdot 5 \cdot 4 \cdot 3 \cdot 2}{3 \cdot 2 \cdot 3 \cdot 2} = 20$

8 0

3 years ago

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Semenov [28]

Answer:

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3 0

2 years ago

Let f(x)=241+3e−1.3x . What is the point of maximum growth rate for the logistic function f(x) ? Round your answer to the neares

FromTheMoon [43]

Answer:

The point of maximum growth is at x=0.82

Step-by-step explanation:

Given a logistic function

$f(x)=\frac{24}{1+e^{-1.3x}}$

we have to find the point of maximum growth rate for the logistic function f(x).

From the graph we can see that the carrying capacity or the maximum value of logistic function f(x) is 24 and the point of maximum growth is at $y=\frac{24}{2}$ i.e between 0 to 12

So, we can take $y=\frac{24}{2}$ and then solve for x.

$\frac{24}{2}=\frac{24}{1+e^{-1.3x}}$

⇒ $2=1+3\exp{-1.3x}$

⇒ $1=3.\exp{-1.3x}$ ⇒ $\frac{1}{3}=\exp{-1.3x}$

⇒ log 3=-1.3x

⇒ -0.4771=-1.3.x ⇒ x=0.82

Hence, the point of maximum growth is at x=0.82

5 0

3 years ago