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3 years ago

11

A floor of a new butterfly conservatory will be a circle with an 18-foot radius. The material for the floor will cost $3.95 per

square foot. About how much will the floor cost? Use 3.14 for pi.

1 answer:

Andrei [34K]3 years ago

4 0

The answer is 18,312

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A<br>5y/8_5y/16<br>simplify the expressions

Lerok [7]

Answer:

is it 5y/8_5y/16 or 5y/8-5y/16 ?

Step-by-step explanation:

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The ratio of incomes of two persons is 9:7. The difference in their weekly income is $200. What are their weekly incomes?

irakobra [83]

Let the income of first person be 9x
let the income of the second person be 7x
difference b/w their weekly income=9x-7x=200
=2x=200
x=100
therefore income of first person is 9x=9×100=RS 900
therefore income of second person is 7x=7×100=RS 700

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Show that the function has at least one zero between x=1 and x=2

ANTONII [103]

Answer:

See Below.

Step-by-step explanation:

We are given the function:

$\displaystyle f(x) = 7x^5-9x^4-x^2$

And we want to show that it has at least one zero between <em>x</em> = 1 and <em>x</em> = 2.

Because the function is a polynomial, it is everywhere continuous.

Evaluate the function at <em>x</em> = 1 and <em>x</em> = 2:

$\displaystyle \begin{aligned} f(1) & = 7(1)^5 - 9(1)^4 - (1)^2 \\ \\ & = -3\end{aligned}$

And:

$\displaystyle \begin{aligned} f(2) & = 7(2)^5 - 9(2)^4 - (2)^2 \\ \\ & = 76 \end{aligned}$

Therefore, because the function changes signs from <em>x</em> = 1 to <em>x</em> = 2 and is continuous on the interval [1, 2], by the intermediate value theorem, there must exist at least one zero in the interval.

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2 years ago

there are 8 uniforms at a fire station. Their total weight is 538 pounds. about how many pounds does each uniform Weigh? would y

earnstyle [38]

If 8= 538 Ib. then take the (538) and divide that by 8. <---- 8 for the 8 uniforms.

Your math should look like this: 538/8= about 67 pounds.

Then do 67*8= 536. (You started at 532 Ib.) this is just 2 pounds off*

So, your answer should be *67* pounds.

*Use paper and a pencil! Sometimes doing mental math can be challenging with a problem like this. So use paper and a pencil, checking your answer wont hurt either!*

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3 years ago

The area of a square is numerically 45 more than the perimeter. find the length of the side

omeli [17]

Area of square = l²
Perimeter of square = 4l

According to the question,
$l^2 = 45 + 4l \\\\ l^2 - 4l - 45 = 0 \\\\ l^2 -9l+5l-45=0 \\\\ l(l-9)+5(l-9) =0 \\\\(l-9)(l+5)=0$

Using zero product property,

Either,
$l-9 = 0 \\
~~~~~~l = 9$

Or,
$l+5=0 \\
~~~~~~l=-5$

Since length can't be negative, the length is 9

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3 years ago