-Quiz-<br> Which equation represents a circle with a center at (-4, 9) and a diameter of 10 units?

I need help tell me what the voulume is

Vladimir [108]

Answer:

8 3/4 cubic or 8.75

Step-by-step explanation:

To find volume it’s

Length * width * height

4 0

2 years ago

Consider the inequality -20.2 > 0y. Which of the following must be true? Check all that apply. You cannot divide by zero. The

Katarina [22]

Answer:

You can not divide by zero.

The inequality is equivalent to - 20.2 > 0 which is false.

Step-by-step explanation:

We can not divide both sides by zero, because if we divide both sides by zero, then the inequality becomes

$- \frac{20.2}{0} > y$

⇒ - ∞ > y, which is not possible.

Again, the given inequality is - 20.2 > 0 × y.

We have to multiply y with zero and a product of zero with any term is also zero.

Hence, the inequality becomes - 20.2 > 0.

Therefore, the inequality is equivalent to - 20.2 > 0 which is false. (Answer)

4 0

2 years ago

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Nine new employees, two of whom are married to each other, are to be assigned nine desks that are lined up in a row. If the assi

meriva

Answer:

The probability is 0.8

Step-by-step explanation:

The key to answering this question is considering the fact that the two married employees be treated as a single unit.

Now what this means is that we would be having 8 desks to assign.

Mathematically, the number of ways to assign 8 desks to 8 employees is equal to 8!

Now, the number of ways the couple can interchange their desks is just 2 ways

Thus, the number of ways to assign desks such that the couple has adjacent desks is 2(8!)

The number of ways to assign desks among all six employees randomly is 9!

Thus, the probability that the couple will have adjacent desks would be ;

2(8!)/9! = 2/9

This means that the probability that the couple have non adjacent desks is 1-2/9 = 7/9 = 0.77778

Which is 0.8 to the nearest tenth of a percent

4 0

2 years ago

What is 2 + 10? pls help!!!!!!

Jlenok [28]

12 because if you take 2 and add it to 10 you get 12

3 0

3 years ago

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3. The curve C with equation y=f(x) is such that, dy/dx = 3x^2 + 4x +k

Andreas93 [3]

a. Given that y = f(x) and f(0) = -2, by the fundamental theorem of calculus we have

$\displaystyle \frac{dy}{dx} = 3x^2 + 4x + k \implies y = f(0) + \int_0^x (3t^2+4t+k) \, dt$

Evaluate the integral to solve for y :

$\displaystyle y = -2 + \int_0^x (3t^2+4t+k) \, dt$

$\displaystyle y = -2 + (t^3+2t^2+kt)\bigg|_0^x$

$\displaystyle y = x^3+2x^2+kx - 2$

Use the other known value, f(2) = 18, to solve for k :

$18 = 2^3 + 2\times2^2+2k - 2 \implies \boxed{k = 2}$

Then the curve C has equation

$\boxed{y = x^3 + 2x^2 + 2x - 2}$

b. Any tangent to the curve C at a point (a, f(a)) has slope equal to the derivative of y at that point:

$\dfrac{dy}{dx}\bigg|_{x=a} = 3a^2 + 4a + 2$

The slope of the given tangent line $y=x-2$ is 1. Solve for a :

$3a^2 + 4a + 2 = 1 \implies 3a^2 + 4a + 1 = (3a+1)(a+1)=0 \implies a = -\dfrac13 \text{ or }a = -1$

so we know there exists a tangent to C with slope 1. When x = -1/3, we have y = f(-1/3) = -67/27; when x = -1, we have y = f(-1) = -3. This means the tangent line must meet C at either (-1/3, -67/27) or (-1, -3).

Decide which of these points is correct:

$x - 2 = x^3 + 2x^2 + 2x - 2 \implies x^3 + 2x^2 + x = x(x+1)^2=0 \implies x=0 \text{ or } x = -1$

So, the point of contact between the tangent line and C is (-1, -3).

7 0

2 years ago

-Quiz- Which equation represents a circle with a center at (-4, 9) and a diameter of 10 units?