The answer would be 0 solutions.
Here, we see <em>|</em><em />x+6<em>|</em><em /> = 2.
Oh wow! A foreign object!
|x+6|... two lines... what is that?
That is called absolute value. Whatever is inside the two lines, must have a positive answer!
Let's pretend we have a machine that has this absolute value function activated.
What we put in, we must get a positive answer out.
Let's put in -6.
-6 ==> BEEP BEEP ==> 6
Let's try 3.
3 ==> BEEP BEEP ==>3
Whatever we put in, if it is negative or positive, what comes out is always positive.
So, for how many values <em>x</em> is |x+6|=-2 true?
None, because the answer <em>must</em><em /> be positive!
-2 is not positive, <em>2</em><em /> is.
Hello! I believe you are referencing to powers of 10. In this case 10^2 is 100. 5.6 * 100 = 560. Okay. We are looking for the expression that will give the solution that is 100,000 times greater than 560. Okay. 100,000 * 560 is 56,000,000. That is 56 million. In this case, 10^7 is equivalent to 10,000,000, because there are 7 zeros behind the 1. 5.6 * 10^7 is 56,000,000. There. 56 million is 100,000x greater than 560. The answer is B.
Answer:
B. π(3/2)²h
(27/4)π cubic inches
Step-by-step explanation:
A. The formula for the volume of a cylinder is ...
V = πr²h
The radius (r) is half the diameter, so for a diameter of 3 inches, the radius is 3/2 inches. When this is put into the formula, the volume is ...
V = π(3/2)²h . . . . . . matches choice B
__
B. When h=3, the volume evaluates to ...
V = π(9/4)(3) = (27/4)π . . . . cubic inches
Answer:
The minimum score needed to be in the top 2% of the scores on the test
is n = 10,00,000
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
Mean of the Population = 110
Standard deviation of the Population = 20
The estimated error = 2% = 0.02
<u><em>Step(ii)</em></u>:-
The estimated error is determined by


⇒ 
Squaring on both sides, we get
n = 10,00,000
The minimum score needed to be in the top 2% of the scores on the test
is n = 10,00,000
Answer:
10.89
Step-by-step explanation:
The hundredth place is the second decimal value. Remember that 4 and below round down and 5 and above, round up.
10.89249 -> 10.89
Best of Luck!