Answer:
8
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Remember that all the spheres are similar
Let
z ----> the scale factor
V_1 ---> the volume of the large sphere
V_2 ---> the volume of the small sphere
<em>Find the scale factor</em>
we know that
The radius of the large sphere is double the radius of the small sphere
so
The scale factor is 2
substitute the value oz z
The volume of the large sphere is 8 times the volume of the small sphere
Answer:
a) The number of correct answers
b) Discrete
c) Ratio
Step-by-step explanation:
We are given the following in the question:
Experiment:
Evaluate the effectiveness of different study strategies. All students were then given a test on the passage material and the researchers recorded the number of correct answers.
a) The dependent Variable
The number of correct answers given is the dependent variable because it depends on the number of times the passage is read.
b) Nature of dependent variable.
- It is a discrete variable.
- Since, the number of questions will always be expressed in whole numbers and cannot be expressed as decimals.
- They are always counted and not measured.
c) Scale of measurement
- Ratio is used to measure the dependent variable because true zero for the number of correct questions answered exist.
- If the measure is zero that means truly no questions were answered correctly.
The answer you are looking for is 3.
To find this, you must first distribute the 3 into the parenthesis. 3 x 9 = 27 and 3 x 4 = 12.
Next, you subtract 12 from 27. 27 - 12 = 15.
Finally, divide 15 by 5 to get your final answer as 3.
I hope this helps!
Answer:
<h3>Therefore the sum if the series is 15.98!</h3>
The common ratio is 1/2 or 0.5 . If you multiply the current term by the the common ratio the the output will be the next term.
8⋅1/2=4
4⋅1/2=2
2⋅1/2=1 etc ...
because the absolute value of r is less than 1 we can use the following formula.
a/1−r where a is the first term and r is the common ratio
In our problem
a=8 and r=0.5
Substitute
8/1−0.5=8/0.5=16
The sum of this infinite geometric series is 16.
Also, another formula you can use that is guaranteed to work every time, no matter what, is:
Sn=a(r^n−1/r−1)
All the variables work the same way as above, and "n" is the number of terms in the series. So, say you wanted to find the sum of the first 10 terms and were to substitute everything in:
S10=8(0.5^10−1/0.5−1)
S10=15.984375
Therefore the sum if the series is 15.98!
Step-by-step explanation:
<h2>Hope it is helpful....</h2>
Answer:
it's answer is 36 inch ²
Hope it will help as I have my answers with picture.
