Among the statements provided above only the 2nd option which is "all circles have the same shape but different radii" explains why all circles are similar. Circle can have the same shape but have different radii and diameters as this are the bases of the size of the circle.
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Answer:
- absolute error: 0.4 kg
- relative error: 6.1%
Step-by-step explanation:
The absolute error is the difference between the estimate and the actual weight:
7.0 kg -6.6 kg = 0.4 kg . . . . absolute error
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The relative error is the ratio of the absolute error to the actual weight:
(0.4 kg)/(6.6 kg) × 100% = 6.060606...% ≈ 6.1% . . . . relative error
Answer:
The graph option where the y-axis is intercepted at y = -2.5 by the line of the graph.
Step-by-step explanation:
The answer choices for the possible graphs that have the same y-intercept as the graph of 10x - 16y = 40 is missing here.
However, the answer can still be explained here.
We can figure out how the graph would look like.
First, understand that the y-intercept of a graph is the value of y, of the point where the line intercepts the y-axis.
Let's figure out what the y-intercept is given a graph represented by the equation, 10x - 16y = 40.
Rewrite the equation in slope-intercept form.
10x - 16y = 40
-16y = -10x + 40
y = -10x/-16 + 40/-16
y = ⅝x - ⁵/2
Therefore, the y-intercept of the graph of 10x - 16y = 40 is -⁵/2 or -2.5.
✅The graph shows a line with the same y-intercept as the graph of 10x - 16y = 40, would have it's y-axis intercepted at y = -2.5.
Let's say you're renting a boat
Let h = number of hours you rent the boat
if it costs $46 per hour to rent a boat, then it will cost a total of 46*h or 46h dollars
Now let's say that you get a discount if you are a member. The membership fee is $86 leading to the discount hourly cost to be $25 per hour. If you rent for h hours, then you pay a total of 86+25h dollars
Writing 46h > 86+25h will represent cases when the nonmembership option is more expensive (and the membership option more cheaper). Solving for h will help determine when the membership option is cheaper.
Hey there!
First, we'll solve for x = 0.
The first step is to replace x with 0 anytime it appears in the equation.
f(0) = 7(0) + 2
Multiply 7 by 0 next because multiplication comes before addition in PEMDAS.
f(0) = 0 + 2
Then, add 2 to 0 since it is the last step.
f(0) = 2 The value of f(x) when x = 0 is 2.
Now we can solve for x = 1.
The first step is to replace x with 1 anytime it appears in the equation.
f(1) = 7(1) + 2
Multiply 7 by 1 next because multiplication comes before addition in PEMDAS.
f(1) = 7 + 2
Then, add 2 to 7 because it is the last step.
f(1) = 9 The value of f(x) when x = 1 is 9.
Hope this helps!
