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>
z = 8 + 6x - px Subtract 8 from both sides
z - 8 = 6x - px Factor the x out of 6x - px
z - 8 = x (6 - p) Divide both sides by (6 - p)
![\frac{z - 8}{6 - p}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bz%20-%208%7D%7B6%20-%20p%7D%20)
= x Switch the sides to make it easier to read
x = <span>
</span>
Answer:
Ans. (1) For preparing vaccines, in olden days,microbes were injected in the bodies of horses ormonkeys. These laboratory animals used to makeantibodies to defend these microbes. Antibodies areproteins which can act against the disease-causinggerms. These antibodies were extracted from theblood of these animals and were used as vaccines.(2) Now-a-days with the advent of biotechnology,the vaccines are manufactured in laboratories withthe help of bacteria. For this purpose, a detailedstudy of the disease causing germ is undertaken.The genes and the DNA of such microbes arethoroughly explored. Then based on thisinformation, proteins which can act against suchmicrobes are synthetically prepared in thelaboratories. The safe vaccine is produced in such away which can defend the body against infections.3) Some types of vaccines are prepared from theextracts of germs. These germs or microbes aredeactivated and made dormant. When they areinjected in the body of a person, they initiate thedefending action. The body of such vaccinatedperson, already develops the antibodies in his or herbody. When in future, this person is again attackedby similar germs the defence starts immediately andthe person does not become sick.
Step-by-step explanation:
Ans. (1) For preparing vaccines, in olden days,microbes were injected in the bodies of horses ormonkeys. These laboratory animals used to makeantibodies to defend these microbes. Antibodies areproteins which can act against the disease-causinggerms. These antibodies were extracted from theblood of these animals and were used as vaccines.(2) Now-a-days with the advent of biotechnology,the vaccines are manufactured in laboratories withthe help of bacteria. For this purpose, a detailedstudy of the disease causing germ is undertaken.The genes and the DNA of such microbes arethoroughly explored. Then based on thisinformation, proteins which can act against suchmicrobes are synthetically prepared in thelaboratories. The safe vaccine is produced in such away which can defend the body against infections.3) Some types of vaccines are prepared from theextracts of germs. These germs or microbes aredeactivated and made dormant. When they areinjected in the body of a person, they initiate thedefending action. The body of such vaccinatedperson, already develops the antibodies in his or herbody. When in future, this person is again attackedby similar germs the defence starts immediately andthe person does not become sick.
Answer:
32
Step-by-step explanation:
Answer:
1 and 8
2 and 7
Step-by-step explanation:
Alternate angles take form of a Z-angle.
For alternate exterior angles look for exterior angles that for Z- pattern.
The alternate exterior angles are marked in the attached diagram.
Hence the alternate exterior angles are:
1 and 8
2 and 7