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4vir4ik [10]
3 years ago
14

∵ a correct answer + a good explanation will guarantee you a Brainly :)

Mathematics
1 answer:
Greeley [361]3 years ago
5 0

Answer:

Step-by-step explanation:

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Using suitable algebraic rule, calculate 105^2 -5^2
Harman [31]

Answer:

\huge\boxed{\sf 11000}

Step-by-step explanation:

\sf 105^2 - 5^2\\\\Using\ Formula \ a^2 = b^2 = (a+b)(a-b)\\\\Here\ a = 105 \ and \ b = 5\\\\(105+5)(105-5)\\\\(110)(100)\\\\11000

Hope this helped!

<h2>~AnonymousHelper1807</h2>
5 0
3 years ago
Read 2 more answers
The power generated by an electrical circuit (in watts) as a function of its current ccc (in amperes) is modeled by: P(c)=-12c^2
g100num [7]

Answer:

5 amperes will produce the maximum power of 300 watts.

Step-by-step explanation:

The general form of a quadratic function presents the function in the form

f(x)=ax^2+bx+c

The vertex of a quadratic function is the highest or lowest point, also known as the maximum or minimum of a quadratic function.

We can define the vertex by doing the following:

  • Identify a, b, and c
  • Find, the x-coordinate of the vertex, by substituting a and b into

x-coordinate =-\frac{b}{2a}

  • Find, the y-coordinate of the vertex, by evaluating

y-coordinate =f(x-coordinate )=f(-\frac{b}{2a} )

We know that the power generated by an electrical circuit is modeled by

P(c)=-12c^{2}+120c

This function is a quadratic function.

To find the current that produce the maximum power you must

  • Identify a and b

a = -12 and b = 120

  • Find, the maximum current of the vertex, by substituting a and b into

maximum-current =-\frac{b}{2a}

maximum-current =-\frac{120}{2(-12)}\\\\maximum-current = 5

  • Find, the maximum-power, by evaluating

maximum-power =P(maximum-current)=P(-\frac{b}{2a} )

P(5)=-12(5)^{2}+120(5)=300

5 amperes will produce the maximum power of 300 watts.

We can check our work with the graph of the function P(c)=-12c^{2}+120c and see that the maximum is (5, 300).

5 0
4 years ago
Which of the following is a valid application of the distributive property?
Anna35 [415]

Answer:

Only A

Step-by-step explanation:

Be is not distrubitive property and a is opening the parenteses

7 0
3 years ago
Read 2 more answers
Carmen bought a new body lotion bottle which contains 40-oz. After some time, she used 8-oz. Enter the percentage of ounces Carm
tangare [24]

Answer:

carmen has 32-oz of lotion left

8 0
3 years ago
Read 2 more answers
Two cross roads, each of width Sm, run at right angles through the
Ray Of Light [21]

Answer:

Rs 57750

Step-by-step explanation:

width =5 m

length of first parallel road 70 m

area of first road 70×5=350 sq.m

length of second road 45 m

area of second road =45×5=225 sq.m

area of the common part of cross road with 5 m width that lies at the

center of the park 5×5 = 225 sq.m

area of roads = area of first road +area of second cross road−common area

=(350+225)−25

=575−25

=550sqm

​

cost of the construction per sq.m =Rs.105

total cost =550×105=Rs 57750

7 0
3 years ago
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