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3 years ago

Question 16

Mathematics

2 answers:

morpeh [17]3 years ago

8 0

Answer:

2.300cb squred divide by 4 ull get .575

Step-by-step explanation:

Lerok [7]3 years ago

7 0

Answer:

1.3

Step-by-step explanation:

First off, we know that volume = LxWxH

because this is a cube we know that L=W=H because all the sides are the same.

Now we set up the equation

$x^{3} =2.3$

We can simplify by saying

$\sqrt[3]{2.4}$

or we can put it in a calculator and get

1.320006...

to the nearest tenth

1.3

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Which graph shows a proportional relationship between the number of hours of renting a boat and the total amount spent to rent t

Shalnov [3]

Answer:

Its B

Step-by-step explanation:

4 0

3 years ago

The power generated by an electrical circuit (in watts) as a function of its current x (in amperes) is modeled by: P(x)=-12x^2+1

ra1l [238]

Answer:

A current of 5 amperes will produce the maximum power.

Step-by-step explanation:

Let be $p(x) = -12\cdot x^{2}+120\cdot x$ , where $p(x)$ is measured in watts and $x$ in amperes. At first we must obtain the first and second derivatives of the function to determine the current associated with maximum power. That is:

First derivative

$p'(x) = -24\cdot x + 120$

Second derivative

$p''(x) = -24\cdot x$

Now, we equalize the first derivative to zero and solve it afterwards: (First Derivative Test)

$-24\cdot x + 120 = 0$

$x = 5\,A$

The only critical point is $x = 5\,A$ .

As next step we need to assure that critical point leads to an absolute maximum by evaluating the critical point found above in the second derivative: (Second Derivative Test)

$p(5)'' = -24\cdot (5)$

$p''(5) = -120$

Which indicates that critical point leads to an absolute maximum.

A current of 5 amperes will produce the maximum power.

6 0

3 years ago

Draw a line of symmetry on glasses

Anika [276]

Line of symmetry means when you divide the shape/item, both sides will be equal.

Your line of symmetry should be directly in the middle of the part that covers the bridge of the nose. There's probably a name for it but, I don't know it.

4 0

4 years ago

(b) What is 0.36 (six repeating) expressed as a fraction in simplest form?

zubka84 [21]

0.3666.....

If a number is repeating singly, just know it has to do with dividing by 9.

Let the number be x = 0.36.... (i)

Multiply both sides by 10.

10x = 3.66... (ii)

Equation (ii) - (i)

10x - x = 3.66 - 0.36

9x = 3.3

x = 3.3/9

x = (33/10)*(1/9)

x = 33/90

x = 11/30

The simplest fraction is 11/30

3 0

4 years ago

In how many ways can two integers be selected from 60 consecutive positive integers so that their sum is even?

padilas [110]

Using the combination formula, it is found that the integers can be chosen in 870 ways.

<h3>What is the combination formula?</h3>

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by:

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The resulting sum will be even if both numbers are even(2 from a set of 30) or if both numbers are odd(also 2 from a set of 30), hence:

$T = 2C_{30,2} = 2\frac{30!}{2!28!} = 870$

The integers can be chosen in 870 ways.

You can learn more about the combination formula at brainly.com/question/25821700

4 0

2 years ago