Answer:
1:4
Step-by-step explanation:
A ratio can be written like this: 15:60, but it can also be written as the fraction 15/60, which can be simplified to 1/4, or 1:4.
A function assigns the values. The graph can be plotted as shown below.
<h3>What is a Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
Given the function, g(x) = -3(1/2)ˣ, therefore, the value of g(x) can be written as,
g(x) = -3(1/2)ˣ
g(-2) = -3(1/2)² = -0.75
g(-1) = -3(1/2)¹ = -1.5
g(0) = -3(1/2)⁰ = -3
g(1) = -3(1/2)¹ = -1.5
Hence, the graph can be plotted as shown below.
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Angle aed has to be 80 since the two triangles share two of the same angles
Answer:
341
Step-by-step explanation:
The number of people who know the art of quilting in each successive generation is
1, 4, 16, …
These numbers represent a geometric sequence where each term has the form
aₙ = a₁rⁿ⁻¹
In your sequence, a₁ = 1 and r = 4.
Then, the formula for your sequence is
aₙ = 4ⁿ⁻¹
Sum over five generations
The formula for the sum of the first n terms of a geometric series is
Sum = a₁[(1 - rⁿ)/(1 - r)]
Sum = 1[(1 - 4⁵)/(1 - 4)
= (1 - 1024)/(-3)
= -1023/-3
= 341
If the process continues for five generations, 341 people will know the art of quilting.
The answer is B. She sells each orange for $0.50 and the question is asking for the total amount of money she will make by selling a certain amount of oranges. t represents the total so the equation will to equal to t. c is the number of oranges she will sell so c multiplied by $0.50 will give the total amount of money she will make.