If you continue operating the tractor at its current level, how many acres can you expect to fertilize in the next hour?

What is the area of a circle with a radius of 1 foot? 1/4 1/2 2 n

solong [7]

Answer:

$A=\pi r^2\\=3.14m^2\\=\pi$

Step-by-step explanation:

4 0

4 years ago

Which personal pronoun agrees with its antecedent and correctly completes the sentence?

natka813 [3]

The subject of the sentence, girl, is a singular noun. It requires a singular personal pronoun. That is her.

Ans: D) Her

6 0

3 years ago

Read 2 more answers

-2x - 4 (-6x + 14) = 76 What is X?

konstantin123 [22]

Hello,
First, we distribute the -4 to -6x + 14 to get a resulting expression of 24x - 56. Now, our total equation is -2x + 24x - 56 = 76. Next, we combine like terms on the left side of the equation, and that results in 22x - 56 = 76. Now, we add 56 to both sides to get 22x = 132. Finally, we divide both sides by 22 to get x = 6. Therefore, the value of x is 6. Hope this helps and have a great day!

5 0

3 years ago

Match each binomial with its factors.

Tatiana [17]

The binomials needed to be factored are examples of perfect square binomials, so the factors should contain the square root of the expressions inside the binomial. The pairs are, $16 x^{2} -1 and (4x-1)(4x+1)$ , $4 x^{2} -9 and (2x+3)(2x-3)$ , $4 x^{2} -1 and (2x-1)(2x+1)$ , the last one is a bit tricky because its factors still has a common factor that can be taken out and it is, $16 x^{2} -4 and 4(2x+1)(2x-1)$

8 0

3 years ago

Water is drained out of tank, shaped as an inverted right circular cone that has a radius of 4cm and a height of 16cm, at the ra

bearhunter [10]

Answer:

$\frac{dh}{dt}=-\frac{1}{2\pi}cm/min$

Step-by-step explanation:

From similar triangles, see diagram in attachment

$\frac{r}{4}=\frac{h}{16}$

We solve for $r$ to obtain,

$r=\frac{h}{4}$

The formula for calculating the volume of a cone is

$V=\frac{1}{3}\pi r^2h$

We substitute the value of $r=\frac{h}{4}$ to obtain,

$V=\frac{1}{3}\pi (\frac{h}{4})^2h$

This implies that,

$V=\frac{1}{48}\pi h^3$

We now differentiate both sides with respect to $t$ to get,

$\frac{dV}{dt}=\frac{\pi}{16}h^2 \frac{dh}{dt}$

We were given that water is drained out of the tank at a rate of $2cm^3/min$

This implies that $\frac{dV}{dt}=-2cm^3/min$ .

Since we want to determine the rate at which the depth of the water is changing at the instance when the water in the tank is 8cm deep, it means $h=8cm$ .