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NUMBER 15
To solve this problem we want to round to the nearest millionth. We cannot actually write out the entire number because it goes on forever, but we can expand long enough so we can round it the millions place.
One million has six zeroes. This means that a millionth is six decimal places over (0.000001 is one millionth). Same goes for other base ten numbers (100 has two zeroes, one hundredth is two decimal places over)
We see that there is a line over the 45 in our decimal. This means that after this 45 it is going to go 4545454545.... forever. We want to round to the nearest millionth. However, when you round, you need the next digit over. Let’s expand our to the ten millionth (seven digits.)
6.2145454............
Now, we look at our millionths place. The next place over is four. Therefore, we round down. Therefore, the answer is D) 6.214545
QUESTION 18
Solving questions like this is very simple. With proportions (two equal ratios of fractions) the product of the diagonal sides are equal. So, you just multiply the two numbers that are diagonal from each other and then divide it by the other number and you have your x. If you want, I can explain to you more why this works.
7(2/7)=2
2/2 1/4= 8/9
Therefore, the answer is 8/9.
I hope this has been helpful! If you need anymore help please ask! :D
Answer:
Dot bikes 7m+10 miles this week.
Step-by-step explanation:
Distance of one loop = m miles
Distance of 2 loops = 2m
Distance of 3 loops = 3m
Distance covered on Sunday = 10 miles
Total distance = Monday + Wednesday + Friday + Sunday
Total distance = 2 loops + 2 loops + 3 loops + 10 miles
Total distance = 2m + 2m + 3m + 10
Total distance = (7m+10) miles
Dot bikes 7m+10 miles this week.
#LearnwithBrainly!
Hope i Helped! If i did? I would appriciate a Brainliest!!!
So y=mx+b
-1 is your b, your y-intercept, go down to -1 on your y axis and plot a point from there...
-7 is your slope of -7/-1
from there...use your slope above and just count the spaces rise over run.
hope this helps! :)
Answer:
The measurement for x is 80°
Step-by-step explanation:
In the picture, we see two parallel lines cut by a transversal line. Since the lines are cut by a transversal, then there are a few things we should know that can help us find the value of x.
- <em>Corresponding angles are congruent. </em>
- <em>Angles that are right beside each other (such as ∠CBD and ∠CBA) are a linear pair. This means that they have a total measurement of 180° when added together. </em>
Now that we know these things, we can use this information to find the measurement of ∠CBA. We do this by subtracting 100 from 180 because ∠CBA and ∠CBD are a linear pair. Once we know the measurement of this angle, then it will be much easier to find the value of x.
180 - 100 = 80
So, the measurement of ∠CBA is 80°. Now, ∠CBA and ∠x are corresponding angles so this means that they have the same measurements. If the measurement of ∠CBA is 80°, then the measurement of ∠x is also 80°
x = 80°
Answer:
y = x^2 +6x +8
Step-by-step explanation:
The vertex is (-3, -1), and the vertical scale factor is 1. (You can tell this because the graph goes up 1 unit for 1 unit either side of the vertex.) So, the vertex form of the equation is ...
y = (x +3)^2 -1 . . . . . . . . . vertex form; sometimes called standard form
Expanding this, we get ...
y = x^2 +6x +8 . . . . . . . . also called the standard form equation
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<em>Comment on standard form</em>
There are different versions of "standard form" depending on what you're concerned with and where you are. Please consult your text or other reference material for the version of standard form you need. (The attachments show the conflict with respect to quadratic equations.)
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<em>Comment on the graph</em>
The purpose of the graph attached is to show that the equation we propose produces the same curve as the one given.