Answer quick and show work!

What is the ratio of ounces of<br> peanuts to ounces of almonds?

MAXImum [283]

Answer:

In what?

Step-by-step explanation:

7 0

2 years ago

The power generated by an electrical circuit (in watts) as a function of its current c (in amperes) is modeled by: P(c) = -12c^2

Ksenya-84 [330]

Answer:

The maximum power generated by the circuit is 300 watts.

Step-by-step explanation:

A quadratic function is one that can be written as an equation of the form:

f (x) = ax² + bx + c

where a, b and c (called terms) are any real numbers and a is nonzero.

In this case, f(x) is P(c) [the power generated], x is the current c (in amperes), a = -12, b = 120 and c = 0.

The vertex is a point that is part of the parabola, which has the value as ordered minimum or maximum function. If the scalar a> 0, the parabola opens or faces up and the vertex is the minimum of the function. In contrast, if a <0, the parabola opens downward and the vertex is the maximum of the function.

The calculation of the vertex, which in this case will be the maximum of the function, is carried out as follows:

The value of x, in this case the value of current c in amperes, can be calculated with the formula $c=\frac{-b}{2*a}$ . In this case: $c=\frac{-120}{2*(-12)}$ So c= 5 amperes. The current is 5 amperes.
The value of y, in this case the value of the electric current in watts, is obtained by substituting the value of c previously obtained in the function. In this case: P(5)= -12*5²+120*5. So P(5)= 300 watts

<u><em>The maximum power generated by the circuit is 300 watts.</em></u>

7 0

3 years ago

Identify the vertex of the function, fx) = 3(x - 1)2 + 5.

madam [21]

Answer:

fx) = $3x+4$

Step-by-step explanation:

1. step:

solve the bracket

fx) = 3( $x$ - 1) 2 + 5

$fx) = 3x-1+2+5$

2. step:

use the BEDMAS form.

fx) = $3x-3+7$

fx) = $3x+4$

8 0

3 years ago

Probability of numbers divisible by 9 from numbers 1-100?

quester [9]

11
(9, 18, 27, 36, 45, 54, 63, 72, 81, 90 and 99)
Those numbers divisible by 9 are the multiple of 9; thus need to know how many multiples of 9 there are between 1 and 100:

100 ÷ 9 = 11 r 1 ÷ last multiple of 9 is 11 × 9 (= 99)
→ There are 11 - 1 + 1 = 11 numbers between 1 and 100 which are divisible by 9.

(They are 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99.)

7 0

3 years ago

the ratio of number of girls and boys in a class of 30 students is 7:8. if 5 new boys students admit in the class. what will be

Stells [14]

<h3>Given:</h3>

The ratio of number of girls and boys in a class of 30 students is 7:8

The ratio of number of girls and boys if 5 new boys admit in the class.

<h3>Assumption:</h3>

Let the number of students be x.

<h3>Solution:</h3>

According to the question,

7x + 8x = 30

or, 15x = 30

or, x = $\large {\tt {\frac{30}{15}}}$

or, x = 2

7x = 7(2) = 14

8x = 8(2) = 16

There were 14 boys and 16 girls in the school.

After admitting 5 new boys, we get

14 + 5 = <u>19</u>

The ratio of number of girls and boys now is 16:19.

<h2>Answer:</h2>

5 0

3 years ago