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3 years ago

How do you determine the number of zeros to annex in the product of 0.002 and 0.003?

1 answer:

5 0

0.002 x 0.003 = 0.000006

the zeroes are multiplied by the power of 10 which is 1/10 in particular.
For example.
The product of a whole number and a decimal number less than 1 will be greater than the whole number multiplied into. For this theorem to be proven. Let us state the mathematical expression into numbers such that 
1. N x 0.1 = N/0.1 < N 
2. 1 x 0.5 = 0.5 
3. 2 x 0.1 = 0.2 
4. 100 x 0.55 = 55 

These three examples and stances then suggest the claim that the product is not equal to the whole number used in the equation.

You might be interested in

What is the equation in slope-intercept form of the linear function represented by the table?

umka2103 [35]

Answer:

y = -x + 9

Step-by-step explanation:

You are given (-5,14), (-2,11), (1,8), and (4,5). Your first objective is to find the slope.

Slope is delta y divided by delta x - the amount of height the graph gains divided by the amount of horizontal length the graph gains. Take any two points and plug it into this: $\frac{y_{2}-y_{1} }{x_{2}-x_{1}}$ .

i.e. (-2,11) and (4,5): $\frac{11-5}{-2-4}$ which is $\frac{6}{-6}$ , or -1. Thus, the slope is -1.

We now have y = -1(x) + b, or just y = -x + b.

Next, find the y-intercept. Set the value of x to 0, as the y-intercept is found along the y-axis, which is at the horizontal center of the graph, 0. We now know that the y-intercept is (0,y). To find the y-value, plug one of the coordinate pairs of choice into x and y.

i.e. (-5,14): 14 = (-1)(-5) + b

14 = 5 + b

14 - 5 = 5 + b - 5

9 = b

So, the y-intercept is (0,9).

Finally, the equation is:

y = -x + 9

7 0

3 years ago

PLEASE HELPPPP I DONT KNOW HOW TO DO THIS

KonstantinChe [14]

Answer:

I'm not an expert here, this is a best guess!

But I would say if there is no chance that of him incurring excess costs of less than $500, then he knows without insurance he'll end up paying at least $500, possibly more out of pocket, without the insurance.

so I would say He ends up spending the least amount out if pocket by going with option A. for $75. that's $75 out of pocket with no deductible and it covers his $500+ in excess costs....B and C would also cover the excess, but would each cost $140 or $275 out of pocket at the end of the day....

with that being said, I'd say it's worth it to buy the insurance....even if he doesn't have any excess costs, he's spent $75 dollars for the peace of mind to know he's covered either way, and if he does incur the excess costs he's spent $75 rather that $500+....Even if the excess charges are only $100, which it says there is no chance of happening, but still, then he's still saved $25 altogether. Unless I'm reading it wrong, Option A saves him the most money either way, and is worth it to buy the insurance!

3 0

3 years ago

Factor the polynomial, x2 + 5x + 6

patriot [66]

Answer:

Choice b.

$x^{2} + 5\, x + 6 = (x + 3)\, (x + 2)$ .

Step-by-step explanation:

The highest power of the variable $x$ in this polynomial is $2$ . In other words, this polynomial is quadratic.

It is thus possible to apply the quadratic formula to find the "roots" of this polynomial. (A root of a polynomial is a value of the variable that would set the polynomial to $0$ .)

After finding these roots, it would be possible to factorize this polynomial using the Factor Theorem.

Apply the quadratic formula to find the two roots that would set this quadratic polynomial to $0$ . The discriminant of this polynomial is $(5^{2} - 4 \times 1 \times 6) = 1$ .

$\begin{aligned}x_{1} &= \frac{-5 + \sqrt{1}}{2\times 1} \\ &= \frac{-5 + 1}{2} \\ &= -2\end{aligned}$ .

Similarly:

$\begin{aligned}x_{2} &= \frac{-5 - \sqrt{1}}{2\times 1} \\ &= \frac{-5 - 1}{2} \\ &= -3\end{aligned}$ .

By the Factor Theorem, if $x = x_{0}$ is a root of a polynomial, then $(x - x_0)$ would be a factor of that polynomial. Note the minus sign between $x$ and $x_{0}$ .

The root $x = -2$ corresponds to the factor $(x - (-2))$ , which simplifies to $(x + 2)$ .
The root $x = -3$ corresponds to the factor $(x - (-3))$ , which simplifies to $(x + 3)$ .

Verify that $(x + 2)\, (x + 3)$ indeed expands to the original polynomial:

$\begin{aligned}& (x + 2)\, (x + 3) \\ =\; & x^{2} + 2\, x + 3\, x + 6 \\ =\; & x^{2} + 5\, x + 6\end{aligned}$ .

4 0

3 years ago

The ratio that describes how far an estimate is from the actual amount?

STatiana [176]

A ratio is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
Please mark as brainliest if this helped

6 0

3 years ago

Tell whether the ordered pair is a solution to the equation please show how you solve it.

Orlov [11]

Answer:

The ordered pair is not a solution as both sides of the equation do not equal each other.

Step-by-step explanation:

(3,2); x + 6y = 13

(3) + 6(2) = 13

3 + 12 = 13

15 = 13

3 0

2 years ago