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borishaifa [10]

2 years ago

12

Kevin cuts lawns during the summer months. He charges $10 plus $5 per hour. The algebraic model is C = 5h + 10, where C represen

ts the total cost and h represents the hours worked. Use pencil and paper to create a table of values for hours worked from 1 to 5, incrementing h by 1 in each row.

1 answer:

Dafna1 [17]2 years ago

7 0

Answer:

We have;

Hours (h), Total cost C

1, 5*1 + 10 = $15

2, 5*2 + 10 = $20

3, 5*3 + 10 = $25

4, 5*4 + 10 = $30

5, 5*5 + 10 = $35

Step-by-step explanation:

The given parameters are;

Kevin's fixed charge for lawn cutting = $10

Kevin's charge for lawn cutting per hour = $5

The total cost, C, for cutting lawn cutting by Kevin is C = 5h + 10

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In expanded notation, the hexadecimal 74AF16 is (7*4096) + (4*256) + (A*16) + (F*1). When converting from hexadecimal to decimal

Feliz [49]

Answer:

F is assigned the value of 15

$74AF_{16} = 29871_{10}$

Step-by-step explanation:

Hexadecimal number system is base 16 and it contain the following numbers:

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F

A has a value of 10

B has a value of 11

C has a value of 12

D has a value of 13

E has a value of 14

F has a value of 15

By completing the expanded notation:

$(7*4096) + (4*256) + (A * 16) + (F *1)\\= (7*4096) + (4*256) + (10 * 16) + (15 *1)\\= 28672 + 1024 + 160 + 15\\= 29871$

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2 years ago

Arrange the circles (represented by their equations in general form) in ascending order of their radius lengths. Tiles x2 + y2 −

sashaice [31]

When doing this, we would have to first straight them all out, and as we see above, they are just all over the place, and then, we would have to set them up as a sequence.

$\left[\begin{array}{ccc}5x2 + 5y2 - 20x + 30y + 40 = 0\end{array}\right]$ would be our first step in this problem mainly because it contains the most terms in this aspect.

Then we would then $x2 + y2 - 2x + 2y -1 = 0$ , then, $2x2 + 2y2 - 28x - 32y - 8 = 0$ .

These would only be our first 3 part of the sequence in this aspect.

The others would then be the following:

$\boxed{x2 + y2 + 12x - 2y - 9 = 0 } \ then \ , \boxed{x2 + y2 - 4x + 4y - 10 = 0} \\ \\ then \ \boxed{x2 + y2 - 8x - 6y -20 = 0}$

Thus, as we would have one more afterward, our last part of the sequence would then be the following.

$\boxed{\boxed{4x2 + 4y2 + 16x + 24y - 40 = 0}}$

I hope this was found helpful!

3 0

2 years ago

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What is the factored form of the binomial expansion 125x^3 + 525x^2 + 735x + 343?

yarga [219]

Answer:

Step-by-step explanation:

1. regroup terms

$125x^3+343+525x^2+735x$

2. Rewrite $125x^3$ as $(5x)^3$ and 343 as $7^3$

$(5x)^3+7^3+525x^2+735x$

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$(5x+7)((5x)^2-(7)(5x)+(7)^2)+525x^2+735x$

$(5x+7)(25x^2-35x+49)+525x^2+735x$

4. Factor $105x$ out of $525x^2+735x$

$(5x+7)(25x^2-35x+49)+105x(5x+7)$

5. Regroup

$(5x+7)(25x^2-35x+49+105x)$

$(5x+7)(25x^2+70x+49)$

6. Factor again

$(5x+7)(5x+7)^2$

$(5x+7)^3$

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-$12,500 every 4 years

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