Answer:
7
Step-by-step explanation:
Put the numbers in order from least to greatest:
5, 0, |-1|, |4|, -2
Answer: 107.09 kilograms
Step-by-step explanation:
64.9 + 65% of 64.9
64.9 + (0.65 * 64.9)
64.9 + 42.19
Answer:
$10.5
Step-by-step explanation:
4(5.25) = $21 (total amount of money spent)
we want to divide that by 2 because we want to find the cost of one pizza
21/2 = $10.5
Answer:
a) {2/n²-7/n+9}/{8+2/n-6/n²}
b) 9/8
c) The sequence converges
Step-by-step explanation:
Given the limit of the function
limn→[infinity]2−7n+9n²/8n²+2n−6
To simplify the function given, we will have to factor out the highest power of n which is n² from the numerator and the denominator. The function will then become;
2−7n+9n²/8n²+2n−6
= n²{2/n²-7/n+9}/n²{8+2/n-6/n²}
The n² at the numerator will then cancel out the n² at the denominator to have resulting simplified equation as;
{2/n²-7/n+9}/{8+2/n-6/n²}
Evaluating the limit of the resulting equation will give;
limn→[infinity] {2/n²-7/n+9}/{8+2/n-6/n²}
Note that limn→[infinity] a/n = 0 where a is any constant.
Therefore;
limn→[infinity] {2/n²-7/n+9}/{8+2/n-6/n²}
= (0-0+9)/(8+0-0)
= 9/8
Since the limit of the sequence gives a finite value which is 9/8, thus the sequence in question is a convergent sequence.
The limit of a sequence only diverges if the limit of such sequence is an infinite value.
First, you need to know that the total (degrees) of the interior angles is 360 because this is a quadrilateral.
The unnumbered angle is 109 degrees. We know this because the angle labeled 71 degrees and the unnumbered angle are supplementary. So you subtract 180 from 71 to get 109.

To solve for x, we need to realize the other numbers playing into the angles' values. To make solving this easier, I'm gonna assign letters to the angles.
(10x+6) is angle A.
(13x-2) is angle B.
(8x-1) is angle C.
and 109 (the one we solved) is angle D.
We know that the
total of the interior angles is 360, so we can add the 2 from angle B and the 1 from angle C to 360. This is because these numbers are subtracted from the other values.

Now, we have to subtract the 6 from angle A from 363, because the 6 is added to the other values.

Now we have to subtract 109 from 357 because you want to get the x's by themselves. Since you're solving for x.

That leaves you with 248. Now you add all the x's up to get the total number of x's. You have 10x from angle A, 13x from angle B, and 8x from angle C.

You get 31x. To get what x is, you divide 248 by 31.

That equals 8. So now that you know that x equals 8, if you need to find the values of the angles, you just plug in the numbers into the formulas.




Check your work by plugging your answers in and seeing if they add up to 360.

Which they should:)
So...
angle A= 86
angle B=102
angle C=63
angle D=109
and x=8
Hope this helped!!!