<u>Answer:</u>
first multiply 3 with −8 and we get − 24
then find two numbers that if we add or subtract we get + 10 and if we multiply we get − 24
and the numbers are + 12 and −2
then we place those numbers as follow :-
3x²+12x−2x−8
then we group them
(3x2+12x)(−2x−8)
now take the common factor out.
3x(x+4)−2(x+4)
then group the numbers outside of the brackets
(3x−2)(x+4)
<em><u>And that is the answer</u></em><em><u>:</u></em>
<em>Proper Solution:-</em>
<em>1.) <u>3x2+10x−8</u></em>
<em>2.) <u>3x2+12x−2x−8</u></em>
<em>3.) <u>(3x2+12x)(−2x−8)</u></em>
<em>4.) <u>3x(x+4)−2(x+4)</u></em>
<em>5.) <u>(3x−2)(x+4)</u></em>
Answer:
1/3 divided by 5/4
So we divide both the top by 3 and the bottom by 3 and so our final answer would be 4 over 7. So that's our simplified fraction
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Invert and multiply:
Take the reciprocal of the divisor and multiply the dividend. The top and bottom are being multiplied by the same number. Since that number is the reciprocal of the bottom part, the bottom becomes one.
Find the biggest common number:
It could be said to be a "more correct" method. This is the correct way since, you can’t divide apples by oranges in the same way as you can’t divide fifths by fourths.
Considering balloon to be an spherical object
Volume of sphere =
, where r is the radius of sphere.
After 19 minutes ,If radius of balloon changes from r to R, the Volume changes from V to V'.
V'=
,
As given,rate at which the air leaked out of the balloon (in liters of air per minute) was half of the rate at which Vavilen inflated the balloon.
Also,
Now, again the radius changes from R to r.So, Volume changes from V' to Back to V.
Time taken by the balloon to deflate = 38 minutes
But there is no relation between time and volume of Balloon.
So, we can't predict at which rate balloon is deflating or inflating.Apart from the statement given in Question:
Using the t-distribution to build the 99% confidence interval, it is found that:
- The margin of error is of 3.64.
- The 99% confidence interval for the population mean is (19.36, 26.64).
<h3>What is a t-distribution confidence interval?</h3>
The confidence interval is:

In which:
is the sample mean.
- s is the standard deviation for the sample.
The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 21 - 1 = 20 df, is t = 2.086.
The other parameters are given as follows:

The margin of error is given by:

Hence the bounds of the interval are:


The 99% confidence interval for the population mean is (19.36, 26.64).
More can be learned about the t-distribution at brainly.com/question/16162795
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Answer:
Constants are the terms in the algebraic expression that contain only numbers. That is, they're the termswithout variables. We call them constants because their value never changes, since there are no variablesin the term that can change its value.
Step-by-step explanation: