Answer: it’s B
Step-by-step explanation: Look at the graph clearly
and you will see the value of x and y
Answer:
- d, series and sequence diverge
- d, geometric/divergent
- c, e (geometric, |r|<1)
Step-by-step explanation:
<h3>1.</h3>
The sequence terms have a common difference of -5/8. That make it a non-trivial arithmetic sequence, so it diverges.
The series is the sum of terms of the sequence. Any non-trivial arithmetic series diverges.
(A "trivial" arithmetic series has a first term of 0 and a common difference of 0. It is the only kind of <em>arithmetic</em> series that doesn't diverge.)
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<h3>2.</h3>
The terms of the series have a common ratio of -2. That makes it a geometric series. The ratio magnitude is greater than 1, so the series diverges.
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<h3>3.</h3>
A sequence will converge only if the terms have a common difference of 0 or a common ratio with a magnitude less than 1. Of the offered choices, only C and E will converge:
c. geometric, r = 3/5
e. geometric, r = -1/6
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<em>Additional comment</em>
The convergence criteria stated for problem 3 applies only to arithmetic and geometric sequences. There are many other kinds of sequences that converge, but these are the kinds being considered in this problem set.
Answer:
24 cubes
Step-by-step explanation:
First, we need to find the volume of the prism. To do this, we multiply the length by the width by the height, so 
. Then, we need to find the volume of one small cube, which has a length, width, and height of 
, so 
. Then we divide the volume of the prism by the volume of a cube to find how many could fit, so 
(-8x)<span> ÷ (-4)=0
First you have to divide both sides by -4:
2x</span><span> ÷ 1=0
Now divide both sides by 1 so that the left side can be eliminated:
2x=0
</span>Now divide both sides by 2 so that the left side only has x:
x=0
7.09 Because it goes tens, hundredths, thousandths. Since our problem is nine hundredths the answer will have two numbers. 7 is the whole number so it goes before the decimal. :)
