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3 years ago

A boat is carrying containers that weigh 2000 pounds each.

Mathematics

1 answer:

Lostsunrise [7]3 years ago

6 0

Answer:

Write seven and twelve hundredths in standard form.

Step-by-step explanat

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Each container must hold exactly 1 litre of water Each container must have a minimum surface area

Arada [10]

The containers must be spheres of radius = 6.2cm

<h3>How to minimize the surface area for the containers?</h3>

We know that the shape that minimizes the area for a fixed volume is the sphere.

Here, we want to get spheres of a volume of 1 liter. Where:

1 L = 1000 cm³

And remember that the volume of a sphere of radius R is:

$V = \frac{4}{3}*3.14*R^3$

Then we must solve:

$V = \frac{4}{3}*3.14*R^3 = 1000cm^3\\\\R =\sqrt[3]{ (1000cm^3*\frac{3}{4*3.14} )} = 6.2cm$

The containers must be spheres of radius = 6.2cm

If you want to learn more about volume:

brainly.com/question/1972490

#SPJ1

6 0

2 years ago

2. How many real number solutions are there to the equation 0 =-3x2 + x - 4?

goblinko [34]

For this case we have the following quadratic equation:

$-3x ^ 2 + x-4 = 0$

Where:

$a = -3\\b = 1\\c = -4$

By definition, the discriminant of a quadratic equation is given by:

$d = b ^ 2-4 (a) (c)$

We have to:

$d> 0:$ Two different real roots

$d$ Two different complex roots

$d = 0:$ Two equal real roots

Substituting the values we have:

$d = 1 ^ 2-4 (-3) (- 4)\\d = 1-48\\d = -47$

So, we have two different complex roots

Answer:

Two different complex roots

7 0

3 years ago

Plz help, I'm taking an Advanced class (Algebra) Will give brainliest ✔✔✔✔✔✔✔✔✔

bija089 [108]

Part A:

The average rate of change refers to a function's slope. Thus, we are going to need to use the slope formula, which is:

$m = \dfrac{y_2 - y_1}{x_2 - x_1}$

$(x_1, y_1)$ and $(x_2, y_2)$ are points on the function

You can see that we are given the x-values for our interval, but we are not given the y-values, which means that we will need to find them ourselves. Remember that the y-values of functions refers to the outputs of the function, so to find the y-values simply use your given x-value in the function and observe the result:

$h(0) = 3(5)^0 = 3 \cdot 1 = 3$

$h(1) = 3(5)^1 = 3 \cdot 5 = 15$

$h(2) = 3(5)^2 = 3 \cdot 25 = 75$

$h(3) = 3(5)^3 = 3 \cdot 125 = 375$

Now, let's find the slopes for each of the sections of the function:

<u>Section A</u>

$m = \dfrac{15 - 3}{1 - 0} = \boxed{12}$

<u>Section B</u>

$m = \dfrac{375 - 75}{3 - 2} = \boxed{300}$

Part B:

In this case, we can find how many times greater the rate of change in Section B is by dividing the slopes together.

$\dfrac{m_B}{m_A} = \dfrac{300}{12} = 25$

It is 25 times greater. This is because $3(5)^x$ is an exponential growth function, which grows faster and faster as the x-values get higher and higher. This is unlike a linear function which grows or declines at a constant rate.