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alexira [117]
3 years ago
5

What is the estimate of 206,834 and 194,268

Mathematics
1 answer:
Lena [83]3 years ago
7 0

Answer:I can help you round 206834 and 194268 to its nearest thousands place. 207000 would be the estimate for the first number and 194000 would be the estimate for the second number.

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A small furniture company manufac- tures sofas and recliners. Each sofa requires 8 hours of labor and $180 in materials, while a
Bad White [126]

Answer:

30 and 20 respectively

Step-by-step explanation:

Let the number of sofas to be built be s and the number of recliners be r.

For the time part, we have the following equation:

8s + 6r = 340

For the money part:

180s + 105r = 6750

Now let’s solve these equations simultaneously.

Let’s change the form of the second equation:

180s + 17.5(6r) = 6750

From the first equation, 6r = 340 - 8s

Insert this into the third equation

180s + 17.5(340-8s) = 6750

180s + 5950 - 140s = 6750

40s = 6750 - 5950

40s = 800

s = 20

Substitute the value into the first equation

8(20) + 6r = 340

6r + 160 = 340

6r = 180

r = 30

4 0
3 years ago
845,333,129 expanded​
Semmy [17]
800000000+40000000+5000000+300000+30000+3000+100+20+9
6 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7Bx%20%5Csqrt%7Bx%20%5Csqrt%7Bx%20%5Csqrt%7Bx....%7D%20%7D%20%7D%20%7D%20%20%3D%20%
andrey2020 [161]

First observe that if a+b>0,

(a + b)^2 = a^2 + 2ab + b^2 \\\\ \implies a + b = \sqrt{a^2 + 2ab + b^2} = \sqrt{a^2 + ab + b(a + b)} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b(a+b)}} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b(a+b)}}} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{\cdots}}}}

Let a=0 and b=x. It follows that

a+b = x = \sqrt{x \sqrt{x \sqrt{x \sqrt{\cdots}}}}

Now let b=1, so a^2+a=4x. Solving for a,

a^2 + a - 4x = 0 \implies a = \dfrac{-1 + \sqrt{1+16x}}2

which means

a+b = \dfrac{1 + \sqrt{1+16x}}2 = \sqrt{4x + \sqrt{4x + \sqrt{4x + \sqrt{\cdots}}}}

Now solve for x.

x = \dfrac{1 + \sqrt{1 + 16x}}2 \\\\ 2x = 1 + \sqrt{1 + 16x} \\\\ 2x - 1 = \sqrt{1 + 16x} \\\\ (2x-1)^2 = \left(\sqrt{1 + 16x}\right)^2

(note that we assume 2x-1\ge0)

4x^2 - 4x + 1 = 1 + 16x \\\\ 4x^2 - 20x = 0 \\\\ 4x (x - 5) = 0 \\\\ 4x = 0 \text{ or } x - 5 = 0 \\\\ \implies x = 0 \text{ or } \boxed{x = 5}

(we omit x=0 since 2\cdot0-1=-1\ge0 is not true)

3 0
2 years ago
Guy's y'all plzz answer this who knows about it...and also exam is near​
Yanka [14]

Answer:

Step-by-step explanation:

Okay so I will explain the first one.

2 to the power of 4 = 2x2x2x2

2 to the power of 6 = 2x2x2x2x2x2

2 to the power of 4 = 2x2x2x2

2^4 = 16

2^6 = 64

When you are multiplying powers you add.

+

When you subtract you takeaway.

-

So you would do

4+6+4

= 14

Meaning 2 to the power of 14

2x^{14}

So what is 2 to the power of 14.

You would do

2x2x2x2x2x2x2x2x2x2x2x2x2x2

The answer is 16384

You can also use a calculator

GOOD LUCK FOR YOUR TEST!

7 0
3 years ago
The box plots show the target heart rates of men 20-40 years old and men 50-70 years old.
Harman [31]

Answer: D

Step-by-step explanation:

The range for the thing is greater

6 0
3 years ago
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