Carly withdraws $18 from her bank account. Which number line represents this amount?

The rate on a cell phone is $0.22 per minute. If Izzy uses her phone for 2 hours, how much does she pay?

Molodets [167]

Answer:

$26.4

Step-by-step explanation:

ight 60 min in an hour

.22 per minute

.22 * 60 = 1 hour rate = $13.2

Multiply dat by 2 for 2 horas

13.2 * 2 = $26.4

5 0

3 years ago

A circular pool if filling with water. Assuming the water level will be 4' deep and the diameter is 20' , what is the volume of

Yuliya22 [10]

35,569.92 L of water is required to fill the pool

Step-by-step explanation:

Step 1: Find the area of the circular pool when radius = 20/2 = 10 ft

⇒ Area = πr² = 3.14 × 10² = 314 ft²

Step 2: Find the volume of the pool

Volume = Area × Depth

= 314 × 4 = 1256 ft³

Step 3: Convert the volume into liters.

Volume of water = 1256 × 28.32 = 35,569.92 L (∵1 ft³ = 28.32 L)

8 0

3 years ago

The surface area of a given cone is 1,885.7143 square inches. What is the slang height?

kap26 [50]

Answer:

If $r >> h$ , the slang height of the cone is approximately 23.521 inches.

Step-by-step explanation:

The surface area of a cone (A) is given by this formula:

$A = \pi \cdot r^{2} + 2\pi\cdot s$

Where:

$r$ - Base radius of the cone, measured in inches.

$s$ - Slant height, measured in inches.

In addition, the slant height is calculated by means of the Pythagorean Theorem:

$s = \sqrt{r^{2}+h^{2}}$

Where $h$ is the altitude of the cone, measured in inches. If $r >> h$ , then:

$s \approx r$

And:

$A = \pi\cdot r^{2} +2\pi\cdot r$

Given that $A = 1885.7143\,in^{2}$ , the following second-order polynomial is obtained:

$\pi \cdot r^{2} + 2\pi \cdot r -1885.7143\,in^{2} = 0$

Roots can be found by the Quadratic Formula:

$r_{1,2} = \frac{-2\pi \pm \sqrt{4\pi^{2}-4\pi\cdot (-1885.7143)}}{2\pi}$

$r_{1,2} \approx -1\,in \pm 24.521\,in$

$r_{1} \approx 23.521\,in \,\wedge\,r_{2}\approx -25.521\,in$

As radius is a positive unit, the first root is the only solution that is physically reasonable. Hence, the slang height of the cone is approximately 23.521 inches.

3 0

2 years ago

In the following exercises, solve

yKpoI14uk [10]

Answer:

When the volume of a gas in a container varies inversely with the pressure on the gas and a container of nitrogen has a volume of 29.5 litres with 2000 psi. So, if the tank has a 14.7 psi pressure, then the volume of the tank would be 4013.6 litres.

Step-by-step explanation:

The volume of a gas in a container varies inversely with the pressure on the gas. If a container of nitrogen has a volume of litres with psi, what is the volume if the tank has a psi pressure.

Calculate the volume to the nearest whole number.

Use the given values and calculate the proportionality constant as well as required solution.

Step 1 of 2

Write the inversely proportionality relation between the volume and pressure of a gas in container.

$v \propto \frac{1}{p}$

Where volume is represented by v and pressure is represented by p.

Remove the proportionality and place a constant say k.

$v=\frac{k}{p}$

Substitute the given values of nitrogen that v=29.5 and

p=2000 and calculate the value of k from above equation.

$\begin{aligned}&29.5=\frac{k}{2000} \\&\Rightarrow k=29.5 \times 2000 \\&\Rightarrow k=59000\end{aligned}$

Step 2 of 2

Substitute the value p=14.7 and above calculated k value in the equation

$\begin{aligned}&v=\frac{k}{p} . \\&v=\frac{59000}{14.7} \\&\Rightarrow v=4013.6\end{aligned}$

7 0

1 year ago

1

castortr0y [4]

Answer:

Its an Arithmetic progression

Step-by-step explanation:

d1= -18-(-25)= 7

d2= -11-(-18)= 7

d1 = d2

r1 = -18/25=0.72

r2 = -11/-8= 0.611

r1 isnt = r2

4 0

2 years ago