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3 years ago

Which of the following statements are true?

Mathematics

1 answer:

bezimeni [28]3 years ago

6 0

Answer:

A, B, and C are all true.

Step-by-step explanation:

A. 6 is neither a perfect square nor a perfect cube. True

B. 16 is a perfect square. True $4^{2}$

C. 27 is a perfect cube. True $3^{3}$

OD. 1,331 is both a perfect square and a perfect cube. False

E. 9 is a perfect cube. False

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the sum of 3 decimal numbers is 6. Exactly one of the numbers is less than 1 what could those numbers be.

kati45 [8]

There are infinitely many solutions to this problem (which is why it asks what could those numbers be), so you just have to make one up!

Start with the first sentence.
x + y + z = 6.0

Now one of those numbers has to be less than 1. I'll choose x. And I'll choose a random number, say, 0.7.

0.7 + y + z = 6.0

Now I'll subtract 0.7 from both sides to see what y and z have to add up to.

0.7 + y + z - 0.7 = 6.0 - 0.7
y + z = 5.3

Now I'll choose a random number for y that's less than 5.3.

2.6 + z = 5.3

And subtract 2.6 from both sides to find z.

2.6 + z - 2.6 = 5.3 - 2.6
z = 2.7

And now we have our numbers!
x = 0.7
y = 2.6
z = 2.7

3 0

3 years ago

If a rectangular poster has an area of

d1i1m1o1n [39]

$2x ^2 - 9x + 10=\\
2x^2-4x-5x+10=\\
2x(x-2)-5(x-2)=\\
(2x-5)(x-2) \Rightarrow C$

8 0

3 years ago

the cost of plastering a wall of a room having length 8m and heights 4m at 4s 15 per m² is rs 1560 . find the cost of carpeting

Virty [35]

Answer:

Here,

length = 8m

height = 4m

4s = 15 per m^2

Now,

300 per meter = 300 * 15 per m^2

= 4500 per m^2

4 0

3 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

The maximum power generated by the circuit is 300 watts.

7 0

3 years ago

Tyrone is converting 40/50 to a percent. Which method should he use to find the percent?

alex41 [277]

Answer: A

Step-by-step explanation:

6 0

4 years ago

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