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3 years ago

Graph 4x^2+4y^2=64. what is the domain and range?

Mathematics

1 answer:

marin [14]3 years ago

8 0

Answer:

domain: [-4,4]

range: [-4,4]

Step-by-step explanation:

4x^2+4y^2=64 reduces to:

x^2 + y^2 = 16 This is a circle with center at (0,0) and radius 4.

x and y are both restricted by the radius, which is 4.

domain: [-4,4]

range: [-4,4]

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A race car is traveling at a rate of 100 yards per second.

Kobotan [32]

Answer:

204.55

Step-by-step explanation:

1 mile per hour is 0.489 yards per second

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3 years ago

Linear Equations & Linear Systems:Question 5

Andreas93 [3]

(2, -3) is the solution

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3 years ago

a rectangular sheet is 62cm long and 42cm wide from each of its corners a square of side 6cm is cut out and an open box is made

Alla [95]

Answer:

The volume of rectangular box is 9,000 cubic centimeters

Step-by-step explanation:

Given as :

The length of the rectangular sheet = L = 62 cm

The width of the rectangular sheet = B = 42 cm

Let The volume of rectangular box = v cubic centimeters

From each corner of sheet a square of 6 cm is cut out and an open box made

So, The length of box = L' = (L - 6 - 6)

i.e L' = (62 - 6 - 6)

Or, L' = 50 cm

Or, Length of the box = 50 cm

And The width of the box = B' = (B - 6 - 6)

i.e B' = (42 - 6 - 6)

Or, B' = 30 cm

Or width of the box = 30 cm

And,

The height of the box = H = 6 cm

∴ volume of rectangular box = Length of box × Breadth of box × Height of box

i.e v = L' × B' × H

Or, v = 50 cm × 30 cm × 6 cm

Or, v = 9,000 cm³

So, The volume of rectangular box = v = 9,000 cm³

Hence, The volume of rectangular box is 9,000 cubic centimeters Answer

4 0

3 years ago

Which sampling method is MOST appropriate in estimating the average number of votes for each candidate in an election across a c

kaheart [24]

Answer:

B. Stratified sampling, because there are specific subgroups to investigate.

Step-by-step explanation:

Stratified Sampling is a sampling method and is used when the population has subgroups with different characteristics. Random sampling is applied in each of the sub-groups <em>proportional </em>to their size and then these samples <em>combined </em>together to create sample of the study.

Since there are three towns with people from different occupations ( retirees,business owners, office workers), it is better to use stratified sampling method.

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3 years ago

Problem 3

Murljashka [212]

Answer:

$-\frac{2}{5}$

Step-by-step explanation:

Given expression:

2x + 5y = -10

The equation of a straight line is;

y = mx + c

y and x are the coordinates

m is the slope

c is the intercept

Now;

let us write the given expression in slope intercept format;

2x + 5y = -10

5y = -2x - 10

y = $-\frac{2x}{5}$ - 2

So, the slope of the line is $-\frac{2}{5}$

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3 years ago