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3 years ago

Input, x 4 8 12 16 20 output y 21 37 53 69 85 what is the equation

Mathematics

1 answer:

BigorU [14]3 years ago

3 0

Answer:

The equation is y = 4x + 5

Step-by-step explanation:

To find the equation to this table, pick two ordered pairs and use the slope formula to find the slope. For this we'll use (4, 21) and (8, 37).

m(slope) = (y2 - y1)/(x2 - x1)

m = (37 - 21)(8 - 4)

m = 16/4

m = 4

Now we can use that slope along with any point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 21 = 4(x - 4)

y - 21 = 4x - 16

y = 4x + 5

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A group of 7 students was asked, "How many hours did you watch television last week?" Here are their responses. 17, 19, 5, 17, 2

Olenka [21]

Answer:

≈ 14.3 hours

Step-by-step explanation:

The mean is calculated as

mean = $\frac{sum}{count}$ = $\frac{17+19+5+17+20+6+16}{7}$ = $\frac{100}{7}$ ≈ 14.3 ( to nearest tenth )

4 0

3 years ago

Suppose the population of a country in 1985 was 145 million. In 1995 it was 190 million. Use the formula P = Ae kt to setup an e

kondaur [170]

Answer: Option B is correct

The expression to estimate the population of the country in 2005 is given by

$P=145e^{20k}\\$

Step-by-step explanation:

Since we have given that

In 1985, there was population of 145 millions.

Similarly,

In 1995, there was a population of 190 million .

Use the formula,

$P=Ae^{kt}\\$

where A denotes the initial population and t denotes the number of years.

So, the expression becomes

$P=145e^{20k}\\$

∵ time period between 1985 to 2005 is 20 years.

So we take t=20 years.

So, the expression to estimate the population of the country in 2005 is given by

$P=145e^{20k}\\$

4 0

3 years ago

Read 2 more answers

What is the equivalent of 96 yd in ft.?

Maksim231197 [3]

First you would convert yards into feet. 1 yard=3 feet.
96 yards multiplied by 3 is 288.
Answer: 288 feet.

4 0

3 years ago

Read 2 more answers

PLEASE HELP ME FOR BRAINLIEST!!!!

vekshin1

Answer:

A=52.8 miles (approximately)

Step-by-step explanation:

We can assume that this triangle is not a right angle, therefore we cannot use Pythagorean theorem. Let's use the Law of Sines:

$\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}$

Where A is unknown, a=28 miles, b=32 miles, B=87°

Therefore by law of sines we have:

$\frac{sin(A)}{28} =\frac{sin(87)}{32} \\$

By multiplying 28 to Isolate sin(A) we have:

$sin(A)=\frac{28*sin(87)}{32}$

To cancel out sine on the right, we must multiply both by the inverse sine and so:

$A=sin^{-1}(\frac{28*sin(87)}{32})=52.7658\\ \\A=52.8mi$

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3 years ago

I^8+i^9+i^10 PLZ EXPLAIN HOW YOU GET THE ANSWER

NeX [460]

I^8+i^9+i^10 PLZ EXPLAIN HOW YOU GET THE ANSWER

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7 0

3 years ago