Answer:
d = 9
Step-by-step explanation:
Calculate the slope of ab then equate to 3.
Calculate the slope m using the slope formula
m =
with (x₁, y₁ ) = (4, 6) and (x₂, y₂ ) = (d, 21)
m = = = 3 ( multiply both sides by d - 4 )
3(d - 4) = 15 ( divide both sides by 3 )
d - 4 = 5 ( add 4 to both sides )
d = 9
The semicolon in math mean [1;2;3].
We are given that;
Semicolon
Now,
A semicolon in math can have different meanings depending on the context. One common use of a semicolon is to separate variables from parameters in a function definition1. For example, f(x;y) means that f is a function of the parameter y that returns a function of the variable x. Another use of a semicolon is to separate the elements of a matrix or a vector2. For example, A = [1;2;3] means that A is a column vector with three elements: 1, 2 and 3. A third use of a semicolon is to indicate a conditional probability3. For example, P(A;B) means the probability of A given B, or the probability of A occurring when B is true.
Therefore, by mean the answer will be [1;2;3].
Learn more about mean and median;
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The equation for Bear Creek Bay's water level in July as a function of time (t) is h = 3*cos(2*pi*t/12) + 4.
To find an equation for Bear Creek Bay's water level in July as a function of time (t), we can use a cosine curve since the height of the water can be modeled by it.
Based on the given information, we know that the water level is 7 feet at high tide and 1 foot at low tide. We also know that the next high tide is exactly 12 hours later.
Using the cosine function, where the amplitude (A) is (7 - 1)/2 = 3 and the period (T) is 12 hours, the equation for Bear Creek Bay's water level (h) as a function of time (t) is:
h = 3*cos(2*pi*t/12) + 4
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Part B: Solve the equation in Part A for n.
Step 1: 8n+14n+12n+28
Step 2 Combine like terms: 8n+26+28
Final Answer: 34n+28
You have used 63 sheets of toilet paper in 7 days (9 sheets per day). By subtracting that from the initial 96 sheets, you find that there are 33 sheets of toilet paper left unused.
To solve this question, first determine how many sheets of toilet paper were used in total over the 7 days. As you mentioned, you used 9 sheets per day for 7 days. So, multiply 9 sheets by 7 days to get a result of 63 sheets used in total. Subtraction is then needed to find out how many sheets were left unused on the roll. You start with 96 sheets on the roll. If you subtract the 63 sheets that were used, the result is 33. So, 33 sheets of toilet paper have not been used.
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