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3 years ago

Alison's solar panels have a 10-year guarantee. For how many months is the guarantee good?

Mathematics

2 answers:

ladessa [460]3 years ago

8 0

Answer:

120

Step-by-step explanation:

12 months in a yr, 10 times 12 is 120.

Fiesta28 [93]3 years ago

3 0

120 months
it’s easy
12 months x 10 years.

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The power generated by an electrical circuit (in watts) as a function of its current ccc (in amperes) is modeled by:

dalvyx [7]

Answer:

Lowest Current : c=0 and 6 Amp

Highest Current : 3 amp

Step-by-step explanation:

We are given our function as

$P(c)=-20(c-3)^2 + 180$

We are asked to determine the values of current c at which the power P(c) is equal to 0

Hence

$0=-20(c-3)^2+ 180$

Now we solve the above equation for c

subtracting 180 from each side we get

$-180=-20(c-3)^2$

Dividing both sides by -20

$(c-3)^2=9$

Taking square root on both sides

c-3= ±3

adding 3 on both sides

c=±3+3

hence

c= 0

c=6

At c=0 and 6 amperes the power will be minimum

Now we have to find the c at which the power will be the highest

$P(c)=-20(c-3)^2+ 180$

Represents a parabola

subtracting 180 from both sides we get

$P-180=-20(c-3)^2$

Comparing it with standard parabola

$(y-k)^2=-4k(x-h)^2$

(h,k) will be the coordinates of the vertex

Hence here

h=3 , k = 180

Hence in this equation $P-180=-20(c-3)^2$

The vertex will be (3,180)

Or at c=3, P = 180 the maximum

8 0

3 years ago

Read 2 more answers

Jamoul has a life insurance policy of $150,000 that will be distributed to his 2 children and 1 grandson. If each child receives

kipiarov [429]

3/8 + 3/8 = 6/8 The grandson will receive 2/8 or 25% of the 150k
so .25 * 150,000 = $37,500

7 0

3 years ago

Read 2 more answers

Find the center and the radius of the circle with the equation .

Simora [160]

We have been given an equation of circle $x^2+2x+y^2-2y-14=0$ . We are asked to find the center and radius of the circle.

First of all, we will write equation of circle is standard form $(x-h)^2+(y-k)^2=r^2$ , where center of circle is at point (h,k) and radius is r.

Let us complete the square for both x and y.

$x^2+2x+y^2-2y-14+14=0+14$

$x^2+2x+y^2-2y=14$

Adding half the square of coefficient of x and y term, we will get:

$(\frac{2}{2})^2=1^2=1$

$(\frac{-2}{2})^2=(-1)^2=1$

$x^2+2x+1+y^2-2y+1=14+1+1$

$(x+1)^2+(y-1)^2=16$

$(x-(-1))^2+(y-1)^2=4^2$

Therefore, the center of the circle is $(-1,1)$ and radius is 4 units.

4 0

3 years ago

Find the slope, if it exists, of the line containing the points (-4,0) and (-5,3)

NNADVOKAT [17]

Answer:

Step-by-step explanation:

let (-4,0) be (x1,y1) and (-5,3) be (x2,y2)

slop formula = <u>y2-y1</u>

x2-x1

=(3-0)+(-5-(-4))

=3+(-5+4)

=3+(-1)

=3-1

6 0

3 years ago

What is the answer to the equation: 6/4=15/x ?

Nat2105 [25]

To be able to find the value of X, we have to cross multiply the two fractions then solve the equation.
As so,

6/4 = 15/x

Cross Multiply:

6 x X = 6x
4 x 15 = 60

We cross multiplied, now we can set up the equation:

6x = 60

Simplify: (Get X by itself)

Divide 6 on each side

6 / 6x = 60 / 6
x = 60 / 6
x = 10

Now we have the total of X! To check our answer, we can substitute X for 10 in the original equation.
As so:

6/4 = 15/10

6/4 = 1.5
15/10 = 1.5

Correct! Our answer is X = 10!

Hope I could help you out! If my math is incorrect, or I provided an answer you were not looking for, please let me know and I will be sure to assist you further! However, if my math was well, and correctly, explained, please consider marking my answer as <em>Brainliest!</em> :)

Have a good one!
God Bless.

7 0

3 years ago