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zmey [24]
2 years ago
8

Mr. Maddox asked four students to create a number line to help find the sum of the fractions.

Mathematics
2 answers:
Kazeer [188]2 years ago
8 0

Answer:

A number line going from Negative StartFraction 8 over 10 EndFraction to 0 in increments of StartFraction 1 over 10 EndFraction

(2nd option)

Step-by-step explanation:

When you add the 2 fractions together: -7/10 + 4/10 = -3/10

We need to find a number line that has -3/10 in it. The best answer choice is the 2nd option because we can go backwards to find the answer from positive 3/10 to our answer -3/10 (we are going -7 units backwards).

barxatty [35]2 years ago
5 0

Answer:

First choice

Step-by-step explanation:

<u>Sum of fractions:</u>

  • -7/10 + 4/10= - 3/10

the interval required on the line from the left of - 7/10 to the right of -3/10

<u>Which number line would be best to find this sum? </u>

-8/10 to 0  

  • yes, this is good as covers the interval from -7/10 to - 3/10

-3/10 to 3/10

  • no, it doesn't include the left half of required section

4/10 to 11/10

  • no, it doesn't include the required interval

0 to 15/10

  • no, it doesn't include the required interval
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A rectangular tank that is 5324 ft cubed with a square base and open top is to be constructed of sheet steel of a given thicknes
marishachu [46]

Answer:

Side of 22 and height of 11

Step-by-step explanation:

Let s be the side of the square base and h be the height of the tank. Since the tank volume is restricted to 5324 ft cubed we have the following equation:

V = s^2h = 5324

h = 5324 / s^2

As the thickness is already defined, we can minimize the weight by minimizing the surface area of the tank

Base area with open top s^2

Side area 4sh

Total surface area A = s^2 + 4sh

We can substitute h = 5324 / s^2

A = s^2 + 4s\frac{5324}{s^2}

A = s^2 + 21296/s

To find the minimum of this function, we can take the first derivative, and set it to 0

A' = 2s - 21296/s^2 = 0

2s = 21296/s^2

s^3 = 10648

s = \sqrt[3]{10648} = 22

h = 5324 / s^2 = 5324 / 22^2 = 11

4 0
2 years ago
Which of the following terms correctly describe the object below. Check all that apply
mars1129 [50]

Answer:

Option a,d and e are correct.

Step-by-step explanation:

Pyramid is  the figure in which every base and apex forms triangle.

Polygon is two dimensional figure with straight lines.

Square is a figure in which all four sides are equal.

Solid is a three dimensional figure.

Polyhedron is a three dimensional figure with straight edges and sharp corners.

Prism is a polyhedron with parallel bases.

The given figure is:

Pyramid

Solid

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2 years ago
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Solve for x in the equation x2+20x+100=36
Lady bird [3.3K]
The answer is:
x = - 64 \div 22 = -2.909091
But if x2 was supposed to be x^2 then the answer is:
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loris [4]
<h2>Answer:</h2>

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<h2>Step-by-step explanation:</h2>

The graphs of sec(x) can be obtained from  the graph of the cosine function using the reciprocal identity, so:

sec(x)=\frac{1}{cos(x)}

But in this problem, the graph stands for the function:

y=3sec\left(\frac{1}{2}x\right)

Because the period is now 4π as indicated and for x=0 in the figure and this can be proven as follows:

Period=\frac{2\pi}{\frac{1}{2}}=4\pi

Also, for \ x=1 \ then \ y=3 as indicated in the figure and this can be proven as:

y=3sec\left(\frac{1}{2}x\right) \\ \\ y=\frac{3}{cos(0.5x)} \\ \\ y=\frac{3}{cos(0.5(0))} \\ \\ y=\frac{3}{1}=3

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2 years ago
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Answer:

(2,2)

Step-by-step explanation:

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