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3 years ago

5

2 096 to the nearest 1000

2 answers:

k0ka [10]3 years ago

6 0

The answer to this is 2000...
hope this helps and HAGD!

laila [671]3 years ago

4 0

2096 rounds down to 2000.

You might be interested in

(3x+2x^4)+(3x-5x^4)

natka813 [3]

Answer:

6x -3x^4

Step-by-step explanation:

Eliminate parentheses. Since the multiplying coefficient is +1, the parentheses can simply be dropped:

= 3x +2x^4 +3x -5x^4

Add like terms (ones with the same exponent on the variable).

= 3x +3x +2x^4 -5x^4 . . . . . . . group like terms together

= (3+3)x +(2-5)x^4

= 6x -3x^4

7 0

4 years ago

You have an ice cream scoop with a 2-inch diameter. You have an ice cream cone with a 2-inch diameter and a height of 5 inches.

lord [1]

Answer:

No, because the volume of the cone is greater than the volume of the ice cream scoop.

Step-by-step explanation:

To solve this problem we just need to compare the volume of the ice scream scoop with the volume of the ice cream cone.

The ice scream scoop is a sphere with a diameter of 2 inches (so a radius of 1 inch), then the volume is:

V = (4/3) * pi * r^3

V = (4/3) * pi * 1^3

V = 4.1888 in3

Now, to find the volume of the ice cream cone, we just need to use the formula of the cone volume (with radius = 1 inch):

V = (1/3) * pi * r^2 * h

V = (1/3) * pi * 1^2 * 5

V = 5.236 in3

As the volume of the cone is greater than the volume of the ice cream scoop, the ice cream will not spill over the cone after melting.

8 0

3 years ago

Pre-Calculus - Systems of Equations with 3 Variables please show work/steps

inessss [21]

Answer:

x = 10 , y = -7 , z = 1

Step-by-step explanation:

Solve the following system:

{x - 3 z = 7 | (equation 1)

2 x + y - 2 z = 11 | (equation 2)

-x - 2 y + 9 z = 13 | (equation 3)

Swap equation 1 with equation 2:

{2 x + y - 2 z = 11 | (equation 1)

x + 0 y - 3 z = 7 | (equation 2)

-x - 2 y + 9 z = 13 | (equation 3)

Subtract 1/2 × (equation 1) from equation 2:

{2 x + y - 2 z = 11 | (equation 1)

0 x - y/2 - 2 z = 3/2 | (equation 2)

-x - 2 y + 9 z = 13 | (equation 3)

Multiply equation 2 by 2:

{2 x + y - 2 z = 11 | (equation 1)

0 x - y - 4 z = 3 | (equation 2)

-x - 2 y + 9 z = 13 | (equation 3)

Add 1/2 × (equation 1) to equation 3:

{2 x + y - 2 z = 11 | (equation 1)

0 x - y - 4 z = 3 | (equation 2)

0 x - (3 y)/2 + 8 z = 37/2 | (equation 3)

Multiply equation 3 by 2:

{2 x + y - 2 z = 11 | (equation 1)

0 x - y - 4 z = 3 | (equation 2)

0 x - 3 y + 16 z = 37 | (equation 3)

Swap equation 2 with equation 3:

{2 x + y - 2 z = 11 | (equation 1)

0 x - 3 y + 16 z = 37 | (equation 2)

0 x - y - 4 z = 3 | (equation 3)

Subtract 1/3 × (equation 2) from equation 3:

{2 x + y - 2 z = 11 | (equation 1)

0 x - 3 y + 16 z = 37 | (equation 2)

0 x+0 y - (28 z)/3 = (-28)/3 | (equation 3)

Multiply equation 3 by -3/28:

{2 x + y - 2 z = 11 | (equation 1)

0 x - 3 y + 16 z = 37 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Subtract 16 × (equation 3) from equation 2:

{2 x + y - 2 z = 11 | (equation 1)

0 x - 3 y+0 z = 21 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Divide equation 2 by -3:

{2 x + y - 2 z = 11 | (equation 1)

0 x+y+0 z = -7 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Subtract equation 2 from equation 1:

{2 x + 0 y - 2 z = 18 | (equation 1)

0 x+y+0 z = -7 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Add 2 × (equation 3) to equation 1:

{2 x+0 y+0 z = 20 | (equation 1)

0 x+y+0 z = -7 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Divide equation 1 by 2:

{x+0 y+0 z = 10 | (equation 1)

0 x+y+0 z = -7 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Collect results:

Answer: {x = 10 , y = -7 , z = 1

3 0

3 years ago

Square root of 6 - square root of 6 + square root of 6

Arte-miy333 [17]

Answer:

The answer is 2.44948974278 or 2.4.

Step-by-step explanation:

Hope this helps. Good luck!

4 0

3 years ago

Determine the minimum sample size required when you want to be 99% confident that the sample mean is within 0.50 units of the po

vfiekz [6]

Answer:

b. 224

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:

$\alpha = \frac{1-0.99}{2} = 0.005$

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 $1-0.005 = 0.995$ , so $z = 2.58$

Now, find the margin of error 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.

In this problem:

We want to find n, when $M = 0.5, \sigma = 2.9$ So

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

$0.5 = 2.58*\frac{2.9}{\sqrt{n}}$

$0.5\sqrt{n} = 7.482$

$\sqrt{n} = 14.964$

$(\sqrt{n})^{2} = (14.964)^{2}$

$n = 223.9$

The nearest integer number to 223.9 is 224.

So the correct answer is:

b. 224

6 0

3 years ago