Keith purchases a cell phone plan, which includes a cell phone and cell phone

Each cube in this rectangular prism is 1 cm3.What is the volume of the rectangular prism?

Lelechka [254]

Answer:

Volume of rectangular prism = $20\ cm^3$

Step-by-step explanation:

Given rectangular prism is made up of small cubes of volume 1 cubic centimeter.

To find volume of rectangular prism.

Solution:

Volume of rectangular prism is = $length\times width \times height$

We know that all sides of a cube are equal in measure.

So, we will count the number of cubes on each side to get the exact measure.

Length side = 4 cubes = 5 cm

Width side = 2 cubes = 2 cm

Height side = 2 cubes = 2 cm

Thus volume of rectangular prism = $5\ cm\times 2\ cm \times 2\ cm$

Volume of rectangular prism = $20\ cm^3$

4 0

3 years ago

Could someone help me rnnn?

GuDViN [60]

Answer:

vertex = (0, -4)

equation of the parabola: $y=3x^2-4$

Step-by-step explanation:

Given:

y-intercept of parabola: -4
parabola passes through points: (-2, 8) and (1, -1)

Vertex form of a parabola: $y=a(x-h)^2+k$

(where (h, k) is the vertex and $a$ is some constant)

Substitute point (0, -4) into the equation:

$\begin{aligned}\textsf{At}\:(0,-4) \implies a(0-h)^2+k &=-4\\ah^2+k &=-4\end{aligned}$

Substitute point (-2, 8) and $ah^2+k=-4$ into the equation:

$\begin{aligned}\textsf{At}\:(-2,8) \implies a(-2-h)^2+k &=8\\a(4+4h+h^2)+k &=8\\4a+4ah+ah^2+k &=8\\\implies 4a+4ah-4&=8\\4a(1+h)&=12\\a(1+h)&=3\end{aligned}$

Substitute point (1, -1) and $ah^2+k=-4$ into the equation:

$\begin{aligned}\textsf{At}\:(1.-1) \implies a(1-h)^2+k &=-1\\a(1-2h+h^2)+k &=-1\\a-2ah+ah^2+k &=-1\\\implies a-2ah-4&=-1\\a(1-2h)&=3\end{aligned}$

Equate to find h:

$\begin{aligned}\implies a(1+h) &=a(1-2h)\\1+h &=1-2h\\3h &=0\\h &=0\end{aligned}$

Substitute found value of h into one of the equations to find a:

$\begin{aligned}\implies a(1+0) &=3\\a &=3\end{aligned}$

Substitute found values of h and a to find k:

$\begin{aligned}\implies ah^2+k&=-4\\(3)(0)^2+k &=-4\\k &=-4\end{aligned}$

Therefore, the equation of the parabola in vertex form is:

$\implies y=3(x-0)^2-4=3x^2-4$

So the vertex of the parabola is (0, -4)

5 0

2 years ago

Read 2 more answers

68. Traveling to work How long do people travel each day to get to work ? The following table gives the average travel times to

vitfil [10]

A histogram is an image of data that resembles a bar graph and groups several categories into columns along the horizontal x-axis. The numerical count or percentage of occurrences for each column in the data are shown on the vertical y-axis. To see how data distribution patterns look, utilize columns.

(a) Use classes with a 2 minute width and a 14 minute starting point to create a histogram of the journey times. Thus, the first lesson lasts between 14 and 16 minutes.

Describe the distribution's shape. What is the average journey time interval?

If a histogram has a bell shape, its center and spread can be used to parsimoniously characterize it. The axis of symmetry is located at the middle. The spread is the separation between the center and a particular point of inflection. The inflection points of the bell-shaped histogram are indicated here.

To learn more about Histogram refer to:

brainly.com/question/25983327

#SPJ13

5 0

1 year ago

Carly is pouring sand into a rectangular container with dimensions of 4 1/2 inches by 3 1/2 inches by 2 inches. What is the maxi

Pachacha [2.7K]

The answer is 31.5 in.^3 because
4.5 • 3.5 • 2 = 31.5in.^3

8 0

3 years ago

Read 2 more answers

A soccer ball is kicked in the air and follow the path h(x)=2x2+1x+6, where x is the time in seconds and h is the height of the

denis-greek [22]

Answer:

You can either factor or use quadratic formula to find where h(x)=0

Step-by-step explanation:

Remember that the ball is on the ground when h(x)=0 since that is the height. There will be two zeros, one is a negative number so would be before you kicked the ball, the other one will be when the ball comes back down.

4 0

3 years ago