Measures how quickly the position of the object changes when time advances.
The derivative of a function of a single variable at a chosen input value, when it exists, is the slope of the tangent line to the graph of the function at that point. The tangent line is the best linear approximation of the function near that input value
Complete question :
The latter is leaning against the building so that the distance from the ground to the top of the ladder is 9 feet less than the length of the ladder finally put the ladder in the distance from the bottom of the ladder to the building 15 feet. Find length of the ladder.
Answer:
17
Step-by-step explanation:
From Pythagoras :
Hypotenus = sqrt(opposite² + adjacent²)
From the diagram
l = sqrt((l-9)² + 15²)
l² = (l² - 18x + 81 + 225)
Square both sides
l² = l² - 18x + 306
l² - l² = 306 - 18x
18l = 306
l = 306/18
l = 17
Answer:
expression for cookies Anna have 3c- 8
Step-by-step explanation:
Given:
Number of cookie batches Anna baked = 2
Number of cookies in each batch = c
Number of cookies Anna ate = 8
To Find:
An expression representing the number of cookies left with Anna
Solution:
Let the expression representing the number of cookies left with Anna be y
First let us find the total number of cookies Anna baked
She baked 3 batches of cookies and each batch had c cookies in it
So,
Total number of cookies Anna baked = number batches X Number of cookies in each batch
=>
=> 3c
Now Anna ate 8 from 3c cookies, so she will be left with
=>3c-8 cookies
So , y = 3c- 8
Answer: the balance after 9 years is
$235.8
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1 + r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = $100
r = 10% = 10/100 = 0.1
n = 1 because it was compounded once in a year.
t = 9 years
Therefore,.
A = 100(1 + 0.1/1)^1 × 9
A = 100(1 + 0.1)^9
A = 100(1.1)^9
A = $235.8
Answer:
Step-by-step explanation:
The ratio of the number of fiction books is 9:4
the difference between the number of fiction and nonfictionn is 245
so if the number of fiction books = 9x
then the number of nonfiction books = 4x
then difference = 9x-4x = 5x
the difference is given 245
then 5x= 245
x=
=49
number of fiction books =49×9=441
number of nonfiction books =49×4=196
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