For each parallelogram, determine the most

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

or

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

Whats the difference between a parallelogram and a rectangle.

Montano1993 [528]

Rectangle - all angles are equal (90')
parallelogram - two adjacent angles are equal.
1) the rectangle has all right angles 
2)a rectangle diagonal bisects but not a parallelogram 
3)a parallelogram has slanted lines 
4)a parallelogram has acute and obtuse angles but not a rectangle

5 0

3 years ago

HELP ME PLEASE :( Will mark as brainlist, only correct answers

lara31 [8.8K]

Answer:

None of the pairs of expressions are equal

Step-by-step explanation:

• 2n ≠ 2 +n

2n is the same as 2 times of n (expressed as a multiplication sign), while 2 +n is the addition of 2 to n.

•n² ≠ 2n

n²= n ×n

2n= 2 ×n

• 2n² ≠ (2n)²

Note that in the latter, there is a bracket which means that the square applies to both 2 and n.

(2n)²

= (2)² × n²

= (2 ×2)(n²)

= 4n²

Thus, none of the pairs of expressions are equal.

8 0

2 years ago

The volume of a triangular prism is 20 cubic mm. If the dimensions were doubled, what would the new

anygoal [31]

Answer:

The new volume will be 160 mm^3

Step-by-step explanation:

The volume of a triangular prism can be calculated by multiplying the area of the triangular base by the height.

Let’s say we have the base with dimensions a and b, while the height can be h

The volume can be calculated as

V = 1/2 * a * b * h

Now , to answer this question, we shall be choosing arbitrary lengths for a, b and h. Whatever length we shall be choosing , we should make sure that they must be equal to 20 mm^3.

Let’s say we have a as 2mm , b as 4 mm and H as 5 mm

Plugging these into the equation, we surely have our volume as 20 mm^3

Now let’s double these dimensions. Our new dimensions become , 4mm by 8mm by 10mm

Plugging these new values into the equation, we have;

1/2 * 4 * 8 * 10 = 160 mm^3

Thus, our volume is expected to be increased by a factor of 8

7 0

3 years ago

In state tuition at a local college was $3809 last year. This year the tuition will be $4715. What is the percent increase of tu

Vinil7 [7]

First, we need to find the difference of the two, which is 4715-3809=906. After that, we need to figure out what percentage that if of 3809, which is rounded to 0.24 or 24%.

7 0

3 years ago