Answer: 
Step-by-step explanation:
Given: The first term of Geometric series : a=1
The seconds term of Geometric series : 
The common ratio between the terms is given by :-
We know that the sum of infinite geometric series is given by :-
Hence, the sum of the given infinite series =
Given:
Each smoothie requires 20 ounces of cranberry juice and 10 ounces of passion fruit.
There are 1260 ounces of cranberry juice.
There are 650 ounces of passion fruit juice.
For the maximum servings of the smoothie, let
x = the number of 20-ounce cranberry juice used,
y = the number of 10-ounce passion fruit juice used.
The cranberry juice runs out when
20x = 1260
x = 63 servings
The passion fruit juice runs out when
10y = 650
y = 65 servings
Because x reaches, the cranberry juice runs out first after 63 servings of the smoothie.
There will be two 10-ounces = 20 ounces of the passion fruit left.
Answer:
(a) The cranberry juice runs our first.
(b) There will be 20 ounces of the passion fruit left over.
The product in scientific notation is 8*10^2
<h3>
How to multiply and divide in scientific notation?</h3>
Here we want to find the product between 4*10^6 and 2*10^6, and write that in scientific notation.
First, we can solve the direct product:
(4*10^6)*(2*10^6) = (4*2)*(10^6*10^6)
Here we used the fact that we can multiply in any order we want.
Now we will use the property:
a^n*a^n = a^{n + m}
(4*2)*(10^6*10^6) = 8*10^{6 + 6} = 8*10^12
The correct option is the second one, counting from the top.
If you want to learn more about scientific notation:
brainly.com/question/5756316
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Answer:
Slope=5/6 aka m=5/6
Step-by-step explanation:
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Answer:
The answer to your question is 2 rational solutions.
Step-by-step explanation:
Equation
y = x² - 8x + 2
Solve using the general formula
x = [8 ± √(-8)² - 4(1)(2)] / 2(1)
Simplification
x = [8 ± √64 - 8] / 2
x = [8 ± √56] / 2
x = [8 ± 2√14]2
x₁ = 4 + √14 x₂ = 4 - √14
As √14 is positive, we conclude that the equation has two rational solutions.
