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3 years ago

Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!

Mathematics

1 answer:

beks73 [17]3 years ago

3 0

Answer:

4 amp

Step-by-step explanation:

max power is at vertex of parabola so max power of 240 will be when current c = 4

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John works two jobs. As a security guard he earns $8.50 per hour. As a landscaper he earns $14 per hour. One week John worked a

Rashid [163]

Answer:

John work as a security guard job 27 hours and as a landscaper 33 hours.

Step-by-step explanation:

Given:

John works two jobs.

As a security guard he earns $8.50 per hour and as a landscaper he earns $14 per hour.

One week John worked a total of 60 hours and earned $691.50.

Now, to find hours he work at each job.

Let the job of security guard be $x$ hours.

And the job of landscaper be $y$ hours.

So, the total hours John worked in a week:

$x+y=60.$

⇒ $y=60-x.$ ............( 1 )

Now, the money earned by John in a week:

$8.50x+14y=691.50$

Putting the equation ( 1 ) in the place of $y$ :

⇒ $8.50x+14(60-x)=691.50$

⇒ $8.50x+840-14x=691.50$

Moving variables on one side and the other we get:

⇒ $840-691.50=14 x-8.50x$

⇒ $148.50=5.50x$

Dividing both sides by 5.50 we get:

⇒ $27=x$

As a security guard job he worked 27 hours.

Putting the value of in $x$ equation ( 1 ) we get:

$y=60-27$

⇒ $y=33.$

As a landscaper he worked 33 hours.

Therefore, John work as a security guard job 27 hours and as a landscaper 33 hours.

5 0

3 years ago

When graphing y = 2x2 + 35x + 75, which viewing window would allow you to see all of the intercepts and the minimum as closely a

djverab [1.8K]

The intercept with the y-axes occurs when x = 0

f(0) = 2*02 + 35*0 + 75 = 0 + 0 + 75 = 75

So intercept with x axes is the point (0,75)

The intercept with the x-axes occurs when y=0

2x2 + 35x + 75 = 0

As there’s no direct way to find x, we can use the Bhaskara formula:

x=(-b+- square root (b2-4ac))/(2a)

This formula is for: ax2 +bx + c = 0

So:

a=2

b=35

c=75

x=(-35+- square root (35^2-4*2*75))/(2*2)

So x can be -2.5 or -15

So intercept with y axes are the points (-2.5,0) and (-15,0)

And there is also a formula to find the mínimum. The mínimum is always the vertex:

Xv = -b/(2*a) = -35/(2*2) = -8.75

Yv = f(Xv) = f(-8.75) = 2(-8.75)^2 + 35(-8.75) + 75 = -78.125

So the minimum is the point (-8.75, -78.125)

You can easily verify all these data with a graphic software such as GeoGebra.

Here is the complete list of all the points we need to see:

(0,75); (-2.5,0) ; (-15,0), (-8.75, -78.125)

So the mínimum X has to be -15 and the máximum X has to be 0

and the mínimum Y has to be -78.125 and the máximum Y has to be 75

So this leads to a different scale for X and for Y.

Window x = [ -15, 0] y = [ -78.125, 75]

5 0

3 years ago

Solve for h. –0.62 + 8.35 + 3.9h = –6.55 + 1.1h

stepan [7]

Answer:

$- 0.62 + 8.35 + 3.9h = - 6.55 + 1.1h \\ \\ 3.9h - 1.1h = - 6.55 + 0.62 - 8.35 \\ \\ 2.8h = - 14.28 \\ \\ h = \frac{ - 14.28}{2.8} \\ \\ h = \frac{ - 142.8}{28} \\ \\ h = - 5.1$

I hope I helped you^_^

8 0

3 years ago

Common Core Sheets

kiruha [24]

144/145

Convert any mixed numbers to fractions
Then your initial equation becomes
48/5 divided by 29/3

5 0

3 years ago

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A car travels 30 – miles in

hodyreva [135]

Answer:

45.3 miles/h

Hope this will help you

Step-by-step explanation:

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3 years ago

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