Answer:
16 + sqrt(128)
Step-by-step explanation:
find the lengths of all 3 sides:
the side from (-9,8) to (-9,16) will be 16-8=8 (x stays constant)
The side from (-9,8) to (-17,8) is 8 (-9- (-17)=8)
The side from (-9,16) to (-17,8) will be found from the distance formula
d=sqrt((-17-9)^2 + (8-16)^2))
= sqrt(128)
So the perimeter will be these 3 numbers added together
P=sqrt(128) + 8 + 8
= 16 + sqrt(128)
which can simplify to:
= 16 + 4sqrt(8)
= 16 + 8sqrt(2) = 8+ sqrt(2)
Calculus Application
2. A ladder 20 feet long leans a vertical building. If the bottom of the ladder slides away from the building
horizontally at a rate of 2 ft/sec, how fast is the ladder sliding down the building when the top of the
ladder is 12 feet above the ground?
-8/3 ft/s
Step-by-step explanation:We are given:
distance of the top of the ladder from the ground (h) = 12 ft
height of the ladder = 20 ft
rate of change of the distance of the base of ladder from the wall (dx/dt):
2 ft/s
Finding the distance of the base of the ladder from the wall:
From the Pythagoras's Theorem, we know that:
hypotenuse² = height² + base²
replacing the given values
20² = 12² + x²
400 = 144 + x²
x² = 256 [subtracting 144 from both sides]
x = 16 ft [taking the square root of both sides]
The rate of change of the height of the Ladder from the ground:
We know that:
h = 12 ft
([tex]\frac{dh}{dt}[/tex]) = ?
x = 16 ft
([tex]\frac{dx}{dt}[/tex]) = 2 ft/s
According to the Pythagoras's Theorem:
20² = x² + h²
differentiating both sides with respect to time
[tex]\frac{d(400)}{dt} = \frac{d(x^{2} + h^{2})}{dt}[/tex]
[tex]0 = \frac{d(x^{2})}{dt} + \frac{d(h^{2})}{dt}[/tex]
[tex]0 = \frac{d(x^{2})}{dx}(\frac{dx}{dt}) + \frac{d(h^{2})}{dh}(\frac{dh}{dt})[/tex]
[tex]0 = 2x(\frac{dx}{dt}) + 2h(\frac{dh}{dt})[/tex]
replacing the variables
[tex]0 = 2(16)(2) + 2(12)(\frac{dh}{dt})[/tex]
[tex]0 = 64 + 32(\frac{dh}{dt})[/tex]
[tex]-64 =32(\frac{dh}{dt})[/tex] [subtracting 64 from both sides]
[tex]\frac{-64}{32} =(\frac{dh}{dt})[/tex] [dividing both sides by 32]
[tex]\frac{dh}{dt} = \frac{-8}{3} ft/s[/tex]
Hence, the ladder will slide down at a speed of 8/3 feet per second
What is the slope function y=8x+6
Which table does NOT represent a function? A) A)
B)
C)
D)
Answer:
D
Step-by-step explanation:
If a number on the x side repeats then its automaticaly not a function.
largest two digit prime natural number
Answer:
97
Step-by-step explanation:
Answer:
97 97 97
Step-by-step explanation:
its 97........
I hope you can see it
Can someone help me ty
Which of the following is a true statement about the expression -9+9
What is f(3) if f(x) = -4x + 1 ?
f(3)=10 I think this is it
Answer:
f(3) = -11
Step-by-step explanation:
should be lol
Helppppppppppppppppppppppp meeeeeeee
Answer:
A I think
Step-by-step explanation:
PLS HELP DUE VERY SOON
Write an equation that represents the green line
Answer: The answer is
Step-by-step explanation:so are u asking fo X,Y?
Answer:
The green line represents the true relationship between the variables. ... this is an overfit model, and I'll show you how to detect it shortly . Fitted line ... Calculates the regression equation.
There are 550 people at the school
carnival.
Part A
If 385 of the people are students, what
percentage of the people at the school
carnival are students?
Part B
If 30% of all the people at the carnival are
on a ride, how many people are on a ride?
Helppppp me I have 30 minutes
Answer: part A is 20%
Part B is 165
Step-by-step explanation:
Part B: 30% x 550= 165
The percentage of people who are students will be 70%. And the number of people who are on the ride will be 165.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
There are 550 people at the school carnival. If 385 of the people are students, then the percentage is calculated as,
P = (385 / 550) x 100
P = 70%
If 30% of all the people at the carnival are on a ride. Then the number of people on a ride will be given as,
⇒ 30% of 550
⇒ 0.30 x 550
⇒ 165 people
The percentage of people who are students will be 70%. And the number of people who are on the ride will be 165.
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ2
pls help! will give brainliest!
Answer:
192 and 288
Step-by-step explanation:
PLEASE ANSWER THIS MY BRAIN IS EXPLODING!!!! I NEED YOUR HELP!!!! SAVE ME FROM THESE MATH PROBLEMS!!!
(1)
This table shows the minutes students spent studying for their math exam and the scores they received.
Study time (min) 15 10 30 12 17 43 61 20 8 25 31 40
Exam score 80 78 92 72 75 85 99 83 68 88 86 90
Use a graphing calculator to model the data using a linear function.
What is the correlation coefficient of the data?
−0.75
−0.40
0.49
0.87
2)
A group of people tried joining a gym to see if it would help them to lose weight. This table shows the relationship between the number of weeks since each person joined the gym and the number of pounds they have lost.
Weeks 10 8 6 2 1 5 9 8
Pounds Lost (lb) 4 2.5 0 1 0.5 3 3.5 1.5
Which function best models the data?
y = 0.31x + 0.12
y=−0.43x+2.5
y=−1.5x+5.5
y=0.75x−3.5
(3)
What is the strength of the association between the two variables in the scatter plot?
The strength of association is?
A. Weak
B. Strong
Answer:
0.49
Step-by-step explanation:
This is what I would put. If my work isn't correct I am so sorry.
6th grade math I mark as brainliest
Answer:
8
Step-by-step explanation:
The exponent is the top number, which in this case would be 8.
Answer:
169.83
Step-by-step explanation:
big brain
45% of a school brought in permission slips for Skateland. If the school received 150 permission slips, how many students are there in the school?
Step-by-step explanation:
What is 45% of 150?
Y is 45% of 150
Equation: Y = P% * X
Solving our equation for Y
Y = P% * X
Y = 45% * 150
Converting percent to decimal:
p = 45%/100 = 0.45
Y = 0.45 * 150
Y = 67.5
Brainliest?
If f(x)=2x-3 find the following
f(7)=
f(-2)=
f(-4)=
Step-by-step explanation:
f(x)=2x-3
now,
f(7)=2× 7-3
=14-3
=11
f(-2)='-2×7-3
= -14-3
b= -17
f(-4)= -4×7-3
= -28-3
= -31
The value of f(7) ,f(-2) and f(-4) will be 11 , -17 and -31 respectively.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
Given,
f(x)=2x-3
f(7) so put x = 7
f(7) = 2(7) - 3
f(7) = 11
Now,
f(-2) so put x = -2
f(-2) = -2×7-3
f(-2) = -17
Now,
f(-4) so put x = -4
f(-4)= -4×7-3
f(-4) = -31
Hence,The value of f(7) ,f(-2) and f(-4) will be 11 , -17 and -31 respectively.
For more about the function,
brainly.com/question/23712366
#SPJ2
45 1/3 x 8 1/9 = m
m = ?
If you answer I will rate you 5 stars. Thank you!
Answer:
367 19/27
Step-by-step explanation:
Use symbolab bruv, its easy.
3. n X 721 = 72.1
n =
Answer:
n would be 0.10
Step-by-step explanation:
the only way to get 72.1 is to multplay something below it like 0.10 so that why it makes since
A seagull ate exactly 12 anchovies everyday for one week,How many ancovies did it eat in all?
Answer:
Step-by-step explanation:
7 days in a week so 12 times 7, which is 84 anchovies
On a local sports team, 30 % of 50 players are -handed. How many left -handed players are there?
Answer:
35 players are left-handed
Step-by-step explanation:
50% of 50 is 25
40% of 50 is 20
30% of 50 is 15
50 - 15 = 35
What is 67.98 ÷ 100000000
Answer:
0.00000067
Step-by-step explanation:
The explicit formula for an arithmetic sequence is an = 20 + (n − 1)(2). What is the 200th term?
Answer:
[tex]a_{200}=418[/tex]
Step-by-step explanation:
The explicit formula for an arithmetic sequence is given by :
[tex]a_n=20+(n-1)2[/tex] ...(1)
We need to find the 200th term of the sequence.
Put n = 200 in equation (1)
[tex]a_{200}=20+(200-1)2\\\\=20+199\times 2\\\\=418[/tex]
So, the 200th term of the sequence is 418.
PLEASE HELP! I WILL GIVE BRAINLIST AND THANKS list three physical properties of matter
Answer:
mean,range,and mode.
I learned this just last Thursday, duh ;)
Step-by-step explanation:
2) It took 3 people 4 hours to build a raft. How long would it take 6 people to build the same raft?
Answer:
2 hours
Step-by-step explanation:
Double the people, divide the hours by 2.
Answer:
8 hours.
Step-by-step explanation:
3:4=6:x
Jo estimated the quotient of –41.71 divided by –6.03 by rounding each to the nearest integer. What is Jo’s error?
Negative 42 divided by negative 7 = 6
Jo should have rounded the dividend to –40.
Jo should have rounded the divisor to –6.
Jo should have divided –7 by –42.
Jo should have divided –7 by –7.
Answer:b
Step-by-step explanation:
Answer:
b
Step-by-step explanation: i took the test and got it right
does not make sense
u5iu42yufyuerhsdufghrshgbfyudirhuigrdyvfuthrdug
Answer:
my life doesn't make sense
Step-by-step explanation:
The ___ is located at (-4, 3.5).
The Brooklyn Bridge is located at ___.
Answer:
Statue of Liberty,(-5,-4.5)
Step-by-step explanation:
Answer:
third one for both
Step-by-step explanation:
Please help me im having trouble answering this question
Answer:
I'm not 100 percent sure but I think the area is 12.
Jenna goes fishing every Saturday morning. She is only allowed to catch a maximum of 222 fish each trip. The table below displays the probability distribution of XXX, the number of fish that Jenna catches in a trip. X= \# \text{ of fish}X=# of fishX, equals, \#, start text, space, o, f, space, f, i, s, h, end text 000 111 222 P(X)P(X)P, left parenthesis, X, right parenthesis 0.040.040, point, 04 0.320.320, point, 32 0.640.640, point, 64 Given that \mu_X=1.6μ X =1.6mu, start subscript, X, end subscript, equals, 1, point, 6 fish, find the standard deviation of the number of fish that Jenna catches. Round your answer to two decimal places.
Answer: 0.57 fish. Khan academy told me.
Answer:
0.83
Step-by-step explanation:
step by step on Khan
If 1/4 gallon of paint covers 1/16 of a wall, what is the amount needed to paint the entire wall?
Answer:
4 gallons
Step-by-step explanation:
if 1/4 a gallon is 1/16 of the wall that means 1 gallon is 4/16 of the wall plus another gallon that's 8/16 of the wall plus 2 more gallons that's 16/16 (the whole wall is complete) of the wall
Find the characteristic polynomial and the eigenvalues of the matrix.
[5 3]
[-4 4]
Answer:
Step-by-step explanation:
Given the matrix
[5 3]
[-4 4]
The characteristic polynomial is expressed as |A - λI| = 0 where λ are the eigen values and I is am identity matrix A 2*2 identity matrix is expressed as;
[1 0]
[0 1]
Substitute into expression will give;
[tex]= \left[\begin{array}{cc}5&3\\-4&4\\\end{array}\right] - \lambda \left[\begin{array}{cc}1&0\\0&1\\\end{array}\right] = 0\\= \left[\begin{array}{cc}5&3\\-4&4\\\end{array}\right] - \left[\begin{array}{cc}\lambda &0\\0&\lambda \\\end{array}\right] = 0\\= \left[\begin{array}{cc}5-\lambda&3\\-4&4-\lambda\\\end{array}\right] = 0[/tex]
Find the determinant of the resulting matrix;
|A - λI| = (5- λ)(4- λ)- 3(-4) = 0
|A - λI| = 20-5 λ-4 λ+ λ²+12 = 0
|A - λI| = 20-9λ+λ²+12 = 0
-9λ+λ²+32 = 0
Rearrange;
λ²-9λ+32 = 0
Hence the characteristic polynomial is expressed as λ²-9λ+32 = 0
Get the eigen values by finding the roots of the equation;
λ = 9±√9²-4(1)(32)/2
λ = 9±√81-(128)/2
λ = 9±√-47/2
λ = 9±√-47/2
λ₁ = 9-√47 i/2 and λ₂ = 9+√47 i/2