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1 year ago

Use a table of values with at least 5 values to graph the following function:

Mathematics

1 answer:

notsponge [240]1 year ago

8 0

A function take an input and produce a unique output.

$y=2^x$

y is the output

x is the input

$\begin{gathered} x=1y=2^x=2^1\text{ = 2} \\ x=2y=2^{2\text{ = 4}} \\ x=3y=2^3\text{ = 8} \\ x=4y=2^4\text{ = 16} \\ x=5y=x^5\text{ = 32} \end{gathered}$

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I WILL GIVE BRAINLY! The surface of a table to be built will be in the shape shown below. The distance from the center of the sh

ki77a [65]

Answer:

draw lines center to vertex
43.5 square inches
261 square inches

Step-by-step explanation:

<u>Part A</u>:

The area can be decomposed into triangles by drawing a line from the center to each vertex of the hexagon.

<u>Part B</u>:

The area of each triangle is given by the triangle area formula:

A = (1/2)bh

A = (1/2)(10 in)(8.7 in) = 43.5 in²

<u>Part C</u>:

The area of the table top is 6 times the area of one triangle:

surface area = 6(43.5 in²) = 261 in²

3 0

3 years ago

Read 2 more answers

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PilotLPTM [1.2K]

Answer:

1. she has 30 ounces left

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3.8

Step-by-step explanation:

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7 0

2 years ago

Which is the logarithmic form of 9^2 = 81?

pochemuha

$log_{9}(81) = 2$

8 0

3 years ago

A marine aquarium has a small tank and a large tank, each containing only red and blue fish. In each tank, the ratio of red fish

Anna007 [38]

Answer:

Ratio of blue fish in the small tank to the red fish in large tank is 10 : 6279

Step-by-step explanation:

Let the number of red fish and blue fish in the large tank are x and y respectively.

Similarly ratio of red fish and blue fish in the small tank are x' and y' respectively.

Since in each tank ratio of the red fish to blue fish is 333 : 444

That means x : y = 333 : 444

Or $\frac{x}{y}=\frac{333}{444}$

⇒ $\frac{x}{y}=\frac{3}{4}$

⇒ y = $\frac{4x}{3}$ --------(1)

Similarly x' : y' = 333 : 444

⇒ $\frac{x'}{y'}=\frac{333}{444}$

⇒ $\frac{x'}{y'}=\frac{3}{4}$

⇒ x' = $\frac{3y'}{4}$ ------(2)

Ratio of the fish in large tank to the fish in small tank is 464646 : 555

So (x + y) : (x' + y') = 464646 : 555

$\frac{x+y}{x'+y'}=\frac{464646}{555}$

Now we replace the values of x and y' from equation (1) and equation (2)

$\frac{(x+\frac{4x}{3})}{(\frac{3y'}{4}+y')}=\frac{464646}{555}$

$\frac{\frac{7x}{3}}{\frac{7y'}{4}}=\frac{464646}{555}$

$\frac{4}{3}\times \frac{x}{y'}=\frac{464646}{555}$

$\frac{x}{y'}=\frac{3}{4}\times \frac{464646}{555}$

$\frac{x}{y'}=\frac{232323}{370}$

$\frac{y'}{x}=\frac{370}{232323}$

$\frac{y'}{x}=\frac{10}{6279}$

Therefore, ratio of blue fish in the small tank to the red fish in large tank is 10 : 6279

4 0

3 years ago

A circle has a circumference of 6. It has an arc of length 1.

Viktor [21]

Answer:

Step-by-step explanation:

Given that:

Circumference (C) = 6 units
Arc length (A) = 1 unit

<u>Find the central angle (</u><u>θ</u><u>)</u>

Arc is some part of circumference; thus,

the equation of arc length =

A = θ/360 × C

θ/360 = A/C

θ = (360×A)/C

θ = (360×1)/6

θ = 360 ÷ 6

Central angle = 60°

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- kexcvi

8 0

3 years ago