Answer:
This is a convergent geometric series. The sum is 30.
Step-by-step explanation:
In your series, the ratio of terms is 3/5, a value whose magnitude is less than 1. That means the series is convergent. The sum is given by the formula ...
S = a1/(1 -r)
where a1 is the first term (12) and r is the common ratio (3/5). This gives ...
S = 12/(1 -3/5) = 12·5/2 = 30
The series is convergent and has a sum of 30.
Answer:
Step-by-step explanation:
Hello!
4y(5y - 11)
Distribute the 4y
4y * 5y = 20y^2
4y * -11 = -44y
Put it together
20y^2 - 44y
2y(3y + 10)
Distribute the -2y
-2y * 3y = -6y^2
-2y * 10 = -20y
Put it gether
-6y^2 - 20y
Put it all together
20y^2 - 44y - 6y^2 - 20y
Combine like terms
14y^2 - 64y
The answer is
Hope this helps!
The answer is: "4" .
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<u>Note</u>: The question asks for a whole number.
"The area of the triangle above will equal one half of a rectangle that is 5 units long and <u> 4 </u><u /> units wide. (Input only whole numbers, such as 8.).
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<u>Note</u>: The diagram shows a "right triangle" ; which would be "one-half" of a rectangle, with units of "length" being "5 units" (as mentioned in this very question prompt; and a width of "4" units (as shown in the diagram; hence the answer is "4" units).
Furthermore, the formula/equation for the area, "A" , of a triangle is:
A = (1/2) * b * h ;
that is:
Area = (1/2) * (base length) * (perpendicular height).
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As such, the answer, "4" (units) makes sense.
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Answer:
50+50=100
100+100=200
Step-by-step explanation:
The sum of 2 numbers is 100. 50 x 2 = 100
Twice the first number plus twice the second number is 200.
50+50=100 so therfore 100+100 makes 200
Answer:
The African elephant weighs <u>111.5 tons</u> less than a blue whale.
Step-by-step explanation:
Given:
Animal Weight(pounds)
African Elephant 15,000
Blue Whale 238,000
Now, to find the weight of how more tons does a blue whale weigh than an African elephant.
As given, 1 ton = 2,000 pounds.
So, to convert the weight from pound to tons by dividing:
African elephant 
Blue whale 
Now, to get the weight of how more tons is blue whale weigh than an African elephant we subtract:
Therefore, the African elephant weighs 111.5 tons less than a blue whale.
