Answer:
240 people.
Step-by-step explanation:
When the train arrived in London there were 318 people.
If 134 of those people didn't get on the train until Slough they need to be subtracted from that number. 318-134=184.
At Slough there were also 56 people who didn't go all they way to London and got off the train, these people need to be added. 184+56=240.
So we now know that 240 people were on the train when it left Oxford.
Hope this helps! :)
slope of o?
Answer:
y = -5
Step-by-step explanation:
slope of 0 means m = 0 in y intercept form y = mx + b.
they have given you (3, -5), plug these in and solve for your equation.
remember, a line that has a 0 slope means it is a horizontal line.
y = mx + b
-5 = 0(3) + b
-5 = b
so you have, y = -5.
b. the integral of the quotient of 1 and the square root of the quantity 1 minus x squared, dx
c. the integral of the quotient of 1 and the square root of the quantity 1 minus x squared, dx
d. the integral of x times the square root of the quantity x squared minus 1, dx
Answer:
B. and C.
General Formulas and Concepts:
Calculus
Differentiation
Integration
U-Substitution
Step-by-step explanation:
*Note:
It seems like B and C are both the same answer.
Let's define our answer choices:
a.
b.
c.
d.
Let's run u-substitution through each of the answer choices:
a.
∴ answer choice A can be evaluated with a simple substitution.
b.
We can see that this integral cannot be evaluated with a simple substitution. In fact, this is a setup for an arctrig integral.
∴ answer choice B cannot be evaluated using a simple substitution.
C.
We can see that this integral cannot be evaluated with a simple substitution. In fact, this is a setup for an arctrig integral.
∴ answer choice C cannot be evaluated using a simple substitution.
D.
Using a little rewriting and integration properties, this integral can be evaluated using a simple substitution.
∴ answer choice D can be evaluated using a simple substitution.
Out of all the choices, we see that B and C cannot be evaluated using a simple substitution.
∴ our answer choices should be B and C.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
Answer:
The decrease is exponential.
Step-by-step explanation:
An exponential decrease is something like:
f(x) = A*(r)^x with 0 < r < 1
A linear decrease is something like:
g(x) = -a*x + b with a > 0
First ai general formula.
If you have a quantity Q, decreased by an X%, the new quantity will be:
New Quantity = Q - Q*(X%/100%)
Now let's look at the question:
Suppose that the original price of the computer component is K
And the price as a function of the year is P(y)
Then we know that, in the year zero, the price is K.
P(0) = K
One year after, the price decreases by 2.25%
Then:
P(1) = K - K*(2.25%/100%) = K*(1 - 0.0225)
After another year, we will have another decrease of 2.25%
Then:
P(2) = K*(1 - 0.0225) - K*(1 - 0.0225)*(2.25%/100%)
P(2) = K*(1 - 0.0225)*(1 - 0.0225) = K*(1 - 0.0225)^2
We already can see the pattern, we can expect that in the year y, the price of the component will be:
P(y) = K*(1 - 0.0225)^y
This clearly is an exponential decrease.
x+y=34
Log base 2 of x + log base 2 of y =6
-10x - 2 = 18
Answer:
x = -2
Step-by-step explanation:
To solve -10x - 2 = 18 for x, you have to do the inverse of each operation, but backward. Since the equation subtracted two last, we have to add (since the opposite of subtraction is addition) 2 first. 18 + 2 = 20, so now we have -10x = 20. This is because -2 + 2 cancels out the -2 (it equals 0).
Then, we have to divide both sides of the equation by -10 to get x by itself. Since the equation multiplied by -10, we have to do the opposite of multiplication, which is division. because -10 divided by -10 equals 1 and one multiplied by x is 1x, or just x. Now we have since we have to do the same thing on both sides. A positive divided by a negative is a negative, and 20 divided by 10 is 2, so our answer is negative 2. Therefore, x = -2.