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spin [16.1K]
1 year ago
13

Evaluate the given problems.1. (3x + 1)(2x2 + x + 8)2. (5y5 – 15y4 + 25y2) ÷ (5y)3. Use long division to solve (x2 + 2x + 4) ÷ (

x + 2)4. Jun constructed a triangular fence for his chickens. Find the area of the triangular fence if its base is x + 3 m and its height is 2x – 4 m.5. The rectangular floor area of a new residential building is 30x2 – 7x – 2 square meters. If its length is 6x + 1 meters, what is its width?
Mathematics
1 answer:
anzhelika [568]1 year ago
5 0

To determine the result of the product of the polynomials, we will use the distributive property:

(a+b)(c)=ac+bc.

Using the distributive property, we get:

(3x+1)(2x^2+x+8)=3x*2x^2+3x*x+3x*8+1*2x^2+1*x+1*8.

Simplifying the above result, we get:

6x^3+3x^2+24x+2x^2+x+8.

Finally, adding like terms we get:

6x^3+5x^2+25x+8.

Answer:

6x^3+5x^2+25x+8.

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a diver is 19 meters below the surface of the water use an integer to represent how far the diver will need to travel to reach t
Basile [38]

Answer:

The diver need to travel 19 meter up to reach the surface

Step-by-step explanation:

* Lets explain how to solve the problem

- For any starting point the position at it is zero

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- If the moving from the starting point is horizontally, then the

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* Lets solve the problem

- A diver is 19 meters below the surface of the water

- Assume that the surface of the water is the zero position

∵ The diver is 19 meter below the surface of the water

∴ The diver is at the position -19

- The diver need to travel 19 meters to reach the surface of the water

∵ -19 + 19 = 0

∴ The diver need to travel 19 meter up to reach the surface

8 0
3 years ago
consider the following scenario: Assume daily protein intake values in a population of athletes are known to have a standard dev
Kipish [7]

Answer:

The 95% confidence interval for the population mean daily protein intake is between 69.97g and 84.03g.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96*\frac{58.6}{\sqrt{267}} = 7.03

The lower end of the interval is the sample mean subtracted by M. So it is 77 - 7.03 = 69.97g.

The upper end of the interval is the sample mean added to M. So it is 77 + 7.03 = 84.03g.

The 95% confidence interval for the population mean daily protein intake is between 69.97g and 84.03g.

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3 years ago
A rectangular building for a gym is three times as long as it is wide. Just inside the walls of the building, there is a 6ft rec
lisov135 [29]

The equation 3x² - 48x + 6856 represents the area of the gym and track together in terms of width.

<h3>What is the area of the rectangle?</h3>

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

We have:

A rectangular building for a gym is three times as long as it is wide. Just inside the walls of the building, there is a 6ft rectangular track along the walls of the gym and has an area of 7000ft²

Let x be the width of the rectangle.

As the area of track along the walls of the gym is 7000ft²

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After simplifying:

3x² - 48x + 6856 = 0

Thus, the equation 3x² - 48x + 6856 represents the area of the gym and track together in terms of width.

Learn more about the rectangle here:

brainly.com/question/15019502

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Perry observes opposite parallel wall of a room In how many lines do the planes containing the wall intersect
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Lady just stop 
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