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3 years ago

Round 358,626 to the nearest thousand .

2 answers:

4 0

359,000 is the answer. Because 8,626 is the first thousand, and it is over 500, you round it up. If it was below 500 you'd round it down.

Gnom [1K]3 years ago

3 0

Answer:

Step-by-step explanation:

Is 359’000

That’s what it should be

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Solve the compound inequality: 4 < 3x – 1 < 20

Nataliya [291]

Answer:

x = (5/3 , 7)

Step-by-step explanation:

4 0

2 years ago

When finding the least common denominator you have to multiply the number by other factors such as 1,2,3 etc. true or false help

Mashutka [201]

Answer:

True

Step-by-step explanation:

One way to find the least common multiple of two or more numbers is to first multiply each by 1, 2, 3, etc.

4 0

2 years ago

Factor completely. <br> <img src="https://tex.z-dn.net/?f=x%5E%7B8%7D-%5Cfrac%7B1%7D%7B81%7D" id="TexFormula1" title="x^{8}-\fra

Eduardwww [97]

We have 3⁴ = 81, so we can factorize this as a difference of squares twice:

$x^8 - \dfrac1{81} = \left(x^2\right)^4 - \left(\dfrac13\right)^4 \\\\ x^8 - \dfrac1{81} = \left(\left(x^2\right)^2 - \left(\dfrac13\right)^2\right) \left(\left(x^2\right)^2 + \left(\dfrac13\right)^2\right) \\\\ x^8 - \dfrac1{81} = \left(x^2 - \dfrac13\right) \left(x^2 + \dfrac13\right) \left(\left(x^2\right)^2 + \left(\dfrac13\right)^2\right) \\\\ x^8 - \dfrac1{81} = \left(x^2 - \dfrac13\right) \left(x^2 + \dfrac13\right) \left(x^4 + \dfrac19\right)$

Depending on the precise definition of "completely" in this context, you can go a bit further and factorize $x^2-\frac13$ as yet another difference of squares:

$x^2 - \dfrac13 = x^2 - \left(\dfrac1{\sqrt3}\right)^2 = \left(x-\dfrac1{\sqrt3}\right)\left(x+\dfrac1{\sqrt3}\right)$

And if you're working over the field of complex numbers, you can go even further. For instance,

$x^4 + \dfrac19 = \left(x^2\right)^2 - \left(i\dfrac13\right)^2 = \left(x^2 - i\dfrac13\right) \left(x^2 + i\dfrac13\right)$

But I think you'd be fine stopping at the first result,

$x^8 - \dfrac1{81} = \boxed{\left(x^2 - \dfrac13\right) \left(x^2 + \dfrac13\right) \left(x^4 + \dfrac19\right)}$

6 0

2 years ago

Karina is designing a logo on a coordinate plane. The logo is a square whose area is 200 square units. She places a circle in th

Katarina [22]

Answer:

Step-by-step explanation:

To find the percentage we must first find the area of the circle:

We can find the radius of the circle using the distance formula;

⇒ $d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}$

⇒ $r = \sqrt{(6.3 - 0)^{2} + (1.6 - 0)^{2}}$

⇒ $r = 6.5$

Now we calculate the area;

⇒ $A = \pi r^{2}$

⇒ $A = \pi (6.5)^{2}$

⇒ $A = \frac{169}{4}\pi$

To get the percentage we divide the area of the circle by the square’s are and multiply by 100;

⇒ $Percentage = \frac{42.25\pi }{200} * 100$

⇒ $Percentage = 66 (2sf)$

5 0

1 year ago

Diane sold t-shirts at a festival and made a profit of $84 . She made $6 for each t-shirt she sold. Her total expenses were $30.

sweet-ann [11.9K]

Answer:

9 t-shirts

Step-by-step explanation:

Well if she made a profit of $30 that would mean that you would subtract $84-$30 which would give you $54. Than you would divide 54/6 to find how much t-shirts she sold.

-Hope this helped (this is one of the first questions ive answered )

7 0

2 years ago