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3 years ago

What is the area of this trapezoid?

Mathematics

2 answers:

tankabanditka [31]3 years ago

7 0

To find the area of a trapezoid take half it’s height times the sum of it’s bases. Half of 6 = 3
3 x 16 = 48

Sidana [21]3 years ago

3 0

I think it’s 60
If not I’m so sorry

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In which number does the 5 represent 5x 10,000?

lyudmila [28]

It would be 50,000, because 5*10,000=50,000.

6 0

3 years ago

Complete parts a through c for the given function.

victus00 [196]

Answer:

a. The critcal points are at

$x=0,-5,3$

b. Then, $x = -5$ is a maximum and $x=3$ is a minimum

c. The absolute minimum is at $x = 3$ and the absolute maximum is at $x = -5.$

Step-by-step explanation:

(a)

Remember that you need to find the points where

$f'(x)=0$

Therefore you have to solve this equation.

$20x^4 + 40x^3 - 300x^2 = 0$

From that equation you can factor out $20x^2$ and you would get

$20x^2 ( x^2 +2x - 15) = 0$

And from that you would have $20x^2 = 0$ , so $x = 0$ .

And you would also have $x^2 +2x-15 = 0$ .

You can factor that equation as $x^2 +2x -15 = (x+5)(x-3) = 0$

Therefore $x=-5 , x=3$ .

So the critcal points are at

$x=0,-5,3$

Remember that a function has a maximum at a critical point if the second derivative at that point is negative. Since

$f''(x) = 80x^3 + 120x^2 -600x\\f''(-5) = 80(-5)^3 + 120(-5)^2 -600(-5) = -4000 < 0\\\\f''(3) = 80(3)^3 + 120(3)^2 -600(3) = 1440 > 0 \\$

Then, $x = -5$ is a maximum and $x=3$ is a minimum

The absolute minimum is at $x = 3$ and the absolute maximum is at $x = -5.$

6 0

3 years ago

Read 2 more answers

Can someone please help me!!!!!!!!

Daniel [21]

Answer:

CHEESE

Step-by-step explanation:

CHEESE IS ALWAYS THE ANSWER!!!

5 0

3 years ago

Read 2 more answers

On a lunch counter, there are 3 oranges, 5 apples, and 2 bananas. If 3 pieces of fruit are selected, find the probability that 1

muminat

Answer:

$Probability = \frac{1}{24}$

Step-by-step explanation:

Given

$Oranges = 3$

$Apples = 5$

$Banana = 2$

$Total = 10$

Required

Determine the probability of 1 orange, 1 apple and 1 banana

Since, order is not important:

$Probability = P(Orange) * P(Apple) * P(Banana)$

$Probability = \frac{3}{10} * \frac{5}{9} * \frac{2}{8}$

<em>The difference in the numerator is as a result of picking the fruit without replacement</em>

$Probability = \frac{30}{720}$

$Probability = \frac{1}{24}$

6 0

3 years ago

Draw and shade figures that represent 50%, 25%, and 150%. Label each figure and described it in words. How do I answer this ques

muminat

See photo for drawing.
Words:
Suppose a square is 100%,
50%: the square is divided into two equal parts, and one of them is shaded, therefore it is 50%.
25%: the square is divided into 4 equal parts, and one of them is shaded, therefore it is 25%.
150%: there are two squares, each divided into 2 equal parts, and 3 of them is shadowed, therefore it is 150%.

7 0

3 years ago