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3 years ago

Please help me out with this.......

Mathematics

1 answer:

ehidna [41]3 years ago

6 0

Answer:

y = 0.5x + 5

Step-by-step explanation:

The equation is in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

Given the ordered pair (0, 5 ) then c = 5

Calculate the multiplier using the slope formula

with (x₁, y₁ ( = (0, 5) and (x₂, y₂ ) = (2, 6) ← 2 ordered pairs from the table

m = $\frac{6-5}{2-0}$ = 0.5, hence

y = 0.5x + 5 ← equation relating x and y

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3 years ago

Determine the radius of convergence of the following power series. Then test the endpoints to determine the interval of converge

tresset_1 [31]

Answer:

Radius of the convergence is R = $\frac{1}{21}$

and,

The Interval of convergence is $-\frac{1}{21}$

Step-by-step explanation:

Given function : Σ(21x)^k

Now,

Using the ratio test, we have

R = $\lim_{n \to \infty} |\frac{21x^{k+1}}{21x^{k}}|$

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$-\frac{1}{21}$

and,

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3 years ago

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Step-by-step explanation:

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3 years ago

How much pure acid is in 780 milliliters of a 12% solution?

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3 years ago

It takes 12 hours for 7 men to paint a room.

dangina [55]

28 men are needed to paint the room in 3 hours

<h3><u>Solution:</u></h3>

Given that it takes 12 hours for 7 men to paint a room

We are asked to find number of men required to paint the room in 3 hours

Recognize, "paint the room" is 1 task. One job.

7 men -------- 12 hours ------ 1 job

(7/7) = 1 men ------- 12 x 7 (84) ------- same 1 job

The one men is rate is 84 hours to do the job

We can express this as 1/84 jobs per hour, the one-person rate

Now lets find how many men needed to paint the room in 3 hours

Let the required number of men for 3 hours be "a"

The rates of each person is simply additive.

$a \times \frac{1}{84} \times 3 = 1$

corresponds to rate x hours = jobs and "a" is a variable for how many men

$a \times \frac{1}{28} = 28$

Thus 28 men are needed to paint the room in 3 hours

4 0

2 years ago