The formula for slope is
Slope = Rise / Run = Risers / Treads
Slope = 7.75 in /10 in = 0.775
The slope Is 0.775.
The vertical distance is not continuous, thus it is
discrete. A discrete function only allows certain points in the interval. When
you walk up or down the stairs, the vertical distances are not continuous
because of the treads. You cannot stay also mid-air, so it should be discrete.
An example of a continuous function would be when you walk up or down an
inclined plane.
For this case, the first thing we are going to do is rewrite the function.
We have then:
h (x) = 505.5 + 8 * exp (-0.9 * x)
We evaluate the value of x = 5 in the function.
We have then:
h (5) = 505.5 + 8 * exp (-0.9 * 5)
h (5) = 505.588872
round to the nearest tenth:
h (5) = 505.6
Answer:
the value of h (5) is:
h (5) = 505.6
write it out in the order they give
Julie , Roger
James , Julie, Roger
David, James, Julie, Roger
Sarah, David, James, Julie, Roger
David is in 2nd place
Answer:
[x(x - 1)(x - 4)]/(2(x + 4))
Step-by-step explanation:
We want to find;
[(x² - 16)/(2x + 8)] * [(x³ - 2x² + x)/(x² + 3x - 4)]
Now,
x² - 16 can be factorized as;
(x + 4)(x - 4)
Also, 2x + 8 can be factorized as;
2(x + 4)
Also, (x³ - 2x² + x) can factorized as;
x[x² - 2x + 1] = x[(x - 1)(x - 1)]
Also,(x² + 3x - 4) can be factorized out as; (x - 1)(x + 4)
So plugging in these factorized forms into the equation in the question, we have;
[(x + 4)(x - 4)/(2(x + 4))] * [x[(x - 1)(x - 1)] /((x - 1)(x + 4))
This gives;
((x - 4)/2) * x(x - 1)/(x +4)
This gives;
[x(x - 1)(x - 4)]/(2(x + 4))
Answer:
The upper bound is 97.5 cm
Step-by-step explanation:
The upper bound is given as the value that is larger than or equal to all values in a data set, for example, in the data set, {3, 6, 16, 23, 25}, an upper bound is 25, however, where the accuracy of the data is given, the upper bound can be found by the following relation
Where the number is given to the nearest 100, add and subtract half of hundred to obtain the upper bound and lower bound respectively
For the question, given that the size of the television is given as 95 cm, correct to the nearest 5 cm, we add add half of 5 cm to get the upper bound as follows;
Upper bound = 95 cm + 5/2 cm = 97.5 cm
The upper bound = 97.5 cm.
