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3 years ago

15

Wendy is paid $12 per hour and plans to work between 30 and 35 hours per week.identify the independent and dependent quantity in

the situation find the reasonable domain and range

1 answer:

Hoochie [10]3 years ago

6 0

The dependent quantity would be the $12 per hour, while the independent quantities are 30 hrs/ week to 35 hours/ week.

The $12 per hour would become $360/week to $420/week.

The domain of the problem, with the unit of hrs/week, would be :30,31,32,33,34,35.
The Range of the problem, with the unit of $/week, would be : 360, 372, 384, 396, 408, 420.

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Given the function g(x) = x^2 - 5x which statement is not correct ?

NISA [10]

Hello,

g(x) = x² - 5x

g(-3) = (-3)² - 5 × 3 = 9 - 15 = - 6 ≠ 24 ⇒ not correct

g(-1) = (-1)² - 5 × (-1) = 1 - 5 = -4 ⇒ correct

g(5) = 5² - 5× 5 = 25 - 25 = 0 ⇒ correct

g(7) = 7² - 5 × 7 = 49 - 35 = 14 ⇒ correct

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2 years ago

Calculate time period of a simple pendulum if it takes 72 seconds to complete 24 oscillations

Anvisha [2.4K]

Answer:

The time period of a simple pendulum if it takes 72 seconds to complete 24 oscillation will be 3 seconds.

Step-by-step explanation:

Total number of oscillations = 24

Time taken to complete 24 oscillations = 2 seconds

So, the frequency 'f' of the simple pendulum will be:

$f=\frac{24}{72}$

$f=\frac{1}{3}$

Let 'T' be the time period.

$T=\frac{1}{f}$

$T=\frac{1}{\frac{1}{3}}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{1}{\frac{b}{c}}=\frac{c}{b}$

$T=\frac{3}{1}$

$T=3$

Therefore, the time period of a simple pendulum if it takes 72 seconds to complete 24 oscillation will be 3 seconds.

6 0

3 years ago

I need help please.

JulijaS [17]

Answer:

$\frac{7\sqrt{5} }{8}$

Step-by-step explanation:

Using the rules of radicals

$\sqrt{\frac{a}{b} }$ = $\frac{\sqrt{a} }{\sqrt{b} }$

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

Given

$\sqrt{\frac{245}{64} }$ = $\frac{\sqrt{245} }{\sqrt{64} }$

Simplifying the radicals

$\sqrt{245}$

= $\sqrt{5(7)(7)}$

= $\sqrt{49(5)}$

= $\sqrt{49}$ × $\sqrt{5}$ = 7 $\sqrt{5}$

and

$\sqrt{64}$ = 8

The simplified radical is

$\frac{7\sqrt{5} }{8}$

3 0

3 years ago

How do you complete solving two step equations

Gekata [30.6K]

Answer:

Here's a two step equation for example: 4.8y - 6.9 = 3.18

Step-by-step explanation:

How I solve it is using: Sadmep.

wth is that?

Well, it's pemdas backwards. You use this version for solving 2 step equations. But pemdas, not a two step equation.

But, how to solve it: Sadmep..S stands for subtraction...do I see it? Yes! So we are going to do inverse operations..what's the inverse of subtraction..Addition! So you are going to put an addition sign right under the subtraction, and put 6.9..now what you do to one side, you have to do to the other. So add 6.9 to 3.18. Now once you did that, you have to add, but you can't add the 6.9 and the 6.9, you have to cross it out, but you HAVE to hadd 3.18 and 6.9..so do that. So for right now your answer should be: 4.8y = 10.08...let's finish solving! Now since there are two unlike terms, when it comes down to literally this, you have to divide each side by the number with the variable. So: 4.8y divided by 4.8...and 10.08 divided by 4.8.. now remember what I said..4.8y divided by 4.8 are alike so you have to cross it out. But you HAVE to divide 10.08 by 4.8. And once you do that..:::: y = 2.1 ....see? easy and simple!

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3 years ago

Which figure is a radius of F?<br><br> CE<br><br> AB<br><br> CD<br><br> FD

maw [93]

The answer i am guessing is going to be c and d.

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3 years ago