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3 years ago

Why is the addition or subtraction of k to the output of a function considered a translation?

Mathematics

1 answer:

Nataliya [291]3 years ago

7 0

Answer:

k translates a function up or down

Step-by-step explanation:

hope this helped :)

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Feeding trough is in the shape of a

Alex787 [66]

Step-by-step explanation:

1 1/4

is also 5/4

5/4 * 3 * 1/2 * 40 =

answer in comments

please mark as brainest

3 0

3 years ago

A scoop of ice cream in the shape of a whole sphere sits in a right cone. the radius of the ice cream scoop is 2.5 cm and the ra

Alexxandr [17]

Answer:

(At least) 10 centimeters.

Step-by-step explanation:

The radius of the ice cream scoop is 2.5 cm and the radius of the cone is also 2.5 cm.

We want to determine the height of the cone such that it will fit all of the ice cream when it melts without any spilling.

First, we will find the volume of the ice cream scoop. The volume for a sphere is given by:

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

Since the radius is 2.5 cm, the volume of the full ice cream scoop is:

$\displaystyle V=\frac{4}{3}\pi (2.5)^3$

Use a calculator:

$V\approx 65.4498\text{ cm}^3$

The volume of a cone is given by:

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

The radius of the cone is 2.5 cm. Therefore:

$\displaystyle V=\frac{1}{3}\pi(2.5)^2h=\frac{1}{3}\pi(6.25 h)=\frac{6.25\pi}{3}h$

The volume of the cone should be equal to the volume of the scoop. So:

$\displaystyle 65.4498=\frac{6.25\pi}{3}h$

Solve for h:

$\displaystyle h\approx 65.4498\Big(\frac{3}{6.25\pi}\Big)=10\text{ cm}$

The height of the cone should be (at least) 10 cm.

4 0

3 years ago

jason runs 440 yards in 75 seconds. At this rate, how many minutes does it take him to run a mile? (1 mile = 1,760 yards).

mamaluj [8]

Answer:

5 minutes

Step-by-step explanation:

we know that

Jason runs 440 yards in 75 seconds

using proportion

Find out how many minutes does it take him to run a 1.760 yards (one mile)

$\frac{440}{75}=\frac{1,760}{x}\\\\x=1,760(75)/440\\\\x= 300\ sec$

Convert seconds to minutes

Divide by 60

$300\ sec=300/60=5\ min$

8 0

3 years ago

- 2x – 3y+ | y<br> -2x-3y+ |y|

Novosadov [1.4K]

Answer:

Step-by-step explanation:

6 0

3 years ago

The scale factor of the blueprint of a shopping mall to the actual shopping mall is 1in/18ft. The area of the mall on the bluepr

Archy [21]

Answer: $61,560\ ft^2$

Step-by-step explanation:

<h3> The missing question is: "What is the area of the actual shopping mall?"</h3>

Let be "x" the area of the actual shopping mall in square feet.

According to the information given in the exercise, the scale factor used is:

$\frac{1\ in}{18\ ft}$

Then, the scale factor for the area is:

$(\frac{1\ in}{18\ ft})^2=\frac{1\ in^2}{324\ ft^2}$

The exercise provides you the area of the mall on the blue print (which is $190\ in^2$ ). Then, knowing this, you can set up the following proportion:

$\frac{1}{324}=\frac{190}{x}$

Finally, you must solve for "x" in order to find its value. This is:

$\frac{1}{324}=\frac{190}{x}\\\\(x)(\frac{1}{324})=190\\\\x=190*324\\\\x=61,560$

Therefore, the area of the actual shopping mall is $61,560\ ft^2$

4 0

4 years ago