What is the value of the expression (a^3 + b^0)^2 where a = -2 b = 4 ?

Mathematics

2 answers:

Rina8888 [55]3 years ago

7 0

Answer:

1938

Step-by-step explanation:

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gladu [14]3 years ago

3 0

Answer:

When a = -2 and b = 4, this expression is equal to 49

Step-by-step explanation:

You can solve this by simply plugging in the given values and solving:

((-2)³ + 4⁰)²

= (-8 + 1)²

= -7²

= 49

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Which set has the greatest range?{10,14,8,19,22,13,44}. {19,16,50,18,29,23,37}.{11,9,31,29,15,17,20,24}. {12,6,24,20,44,15,29}

matrenka [14]

Answer: fourth set have them highest range which is 38

Step-by-step explanation:

Range=highiest number-lowest number

First range:

Range=44-8

Range=36

Second range:

Range=50-16

Range=34

Third range:

Range=31-9

Range=22

Fourth range:

Range=44-6

Range=38

5 0

3 years ago

Read 2 more answers

A gardener wants to make a rectangular enclosure using a wall as one side and 120 m of fencing for the other three sides. expres

Solnce55 [7]

The area is given by A = -2x² + 120x. The greatest area is given by x = 30 m.

Explanation:
See the picture attached for reference.

Let's call:
x = side not facing the wall
We know that the total fence is 120m, therefore
(120 - 2x) = side facing the wall

Note: you could choose to be x = side facing the wall, but the calculations would be a little bit more complicated.

We can now calculate the area of a rectangle:
A = b · h =
= x · (120 - 2x)
= -2x² + 120x

In order to find a maximum for this function, we need to calculate the first derivative:
$\frac{d}{dx} (-2x^{2} + 120x ) = -4x +120$

Then, we need to find the candidate points by setting the derivative equal to zero:
-4x +120 = 0
-4(x - 30) = 0
x = 30

Now, in order to understand if the candidate point is a maximum or a minium, let's calculate the second derivative:

 $\frac{d}{dx}(-4x + 120) = -4$ 

According to the "Second Derivative Test", if the second derivative is negative, the point is a local maximum.

Hence, x = 30m gives the greatest area, and we would have:
side not facing the wall = 30m
side facing the wall = 120 - 2·30 = 60m
area = 30 · 60 = 1800 m²