Answer: option C. 9,555.
Justification:
1) The summation is:
6
∑ 7(4)^ (i - 1)
i=1
2) Substitute with the values of i from 1 to 6 (note that 7 is a common factor of all the terms) =>
7 { 4^(1-1) + 4^(2-1) + 4^(3-1) + 4^(4-1) + 4^(5-1) + 4^(6-1) } =
= 7 { 4^0 + 4^1 + 4^2 + 4^3 + 4^4 + 4^5 } = 7 { 1 + 4 + 16 + 64 + 256 + 1024} =
7{1365} = 9,555.
Answer: 9,555
This question means that Coca-Cola, which has 65 grams of sugar in a can (I assume), has the same sugar content as 1.383 kg of carrots. Coca-Cola is a distractor in this problem. (1.383kg/65g)=(1kg/s)
Can you solve from there for s?
The slope of a line that is perpendicular to the line y = 8x + 5 will be -1/8.
<h3>What is the slope of perpendicular lines?</h3>
Suppose that first straight line has slope 's'
Let another straight line be perpendicular to this first line.
Let its slope be 'a'
Then due to them being perpendicular, they have their slopes' multiplication as -1
or
s x a = -1
s = -1/ a
Slope of line y = 8x + 5
s = 8
The slope of a line that is perpendicular to the line y = 8x + 5
8 x a = -1
a = -1/8
Thus, the slope is -1/8.
Learn more about slope here:
brainly.com/question/2503591
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Answer:A vertex (or node) of a graph is one of the objects that are connected together. The connections between the vertices are called edges or links. A graph with 10 vertices (or nodes) and 11 edges (links).
Step-by-step explanation: (The vertex formula is derived from the completing-the-square process, just as is the Quadratic Formula. In each case, memorization is probably simpler than completing the square.) For a given quadratic y = ax2 + bx + c, the vertex (h, k) is found by computing h = –b/2a, and then evaluating y at h to find k.
