Substitute the given number in your formula and solve for the remaining variable.
.. 300 = 100e^(0.7t)
.. 3 = e^(0.7t) . . . . . . . . . divide by 100
.. ln(3) = 0.7t . . . . . . . . . .take the natural logarithm
.. ln(3)/0.7 = t . . . . . . . . . divide by the coefficient of the variable
.. 1.6 = t
Selection B is appropriate.
Answer:
It will take Naomi 22 hours
Step-by-step explanation:
If they work together Mark, Naomi, and Yvonne take 11 hours, which means
three people represent 3* 11 = 33 man* hours
If they work alone Yvonne will take 5 man hours, and Mark will take 6* man hours.
Now we know that together they take 33 man hours therefore we have
5+ 6+ N = 33
Where N is Naomi's man* hours. We solve for N and get:
N = 33 - 11 = 22
N = 22
Naomi will take 22 hours to finish the job if she worked alone.
9514 1404 393
Answer:
97.42 square units
Step-by-step explanation:
The area of a sector is given by ...
A = (1/2)r²θ
where r is the radius (12.2) and θ is the central angle in radians. Here, you're given the central angle as 75°, so you need to convert that to radians.
75° = (75°)×(π/180°) radians = (5/12)π radians
Then the area is ...
A = (1/2)(12.2²)(5π/12) = 744.2π/24 ≈ 97.42 . . . square units
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Equivalently, you can find the area of the circle in the usual way:
A = πr² = π(12.2²) ≈ 467.59465
Then, multiply by the fraction of the circle that is shaded (75°/360°)
sector area = (467.59465)(75/360) = 94.42 . . . square units
SOLUTION:
As an equation it is:
y - 3x = 5y + 2x
If you are asking for it as a sentence ( I will do it as a written sentence as I unfortunately can't show you the sentence verbally as you had asked ), then it is as you had written in your question so:
Three times x less than y is five times y plus two times x
Or you could write is as:
y subtracted by three times x is equivalent to the sum of five times y and two times x.
Essentially, even with the small alterations that you can make to the phrasing and sentence structure, the concepts are the same so you can use one of the above answers or alter it as you please.
Hope this helps! :)
Answer:
Image result for Two people were standing on a tight rope. Which number sentence represents the distance between the 2 people? •= + HH + "-3" "-2" "-1" 0 1 2 3 4 "-4"
Examples of number sentences include: 32 + 57 = ? 5 x 6 = 10 x ? They will usually comprise of addition, subtraction, multiplication or division – or a combination of all four!
Step-by-step explanation: hope this helps
