find the distance of gap d
Answer:
[tex]\displaystyle d \approx 15.8768[/tex]
Step-by-step explanation:
We want to find the distance of d or AB.
From the right triangle with a 35° angle, we know that:
[tex]\displaystyle \tan 35^\circ = \frac{50}{PB}[/tex]
And from the right triangle with a 42° angle, we know that:
[tex]\displaystyle \tan 42^\circ = \frac{50}{PA}[/tex]
AB is PA subtracted from PB. Thus:
[tex]\displaystyle d = AB = PB - PA[/tex]
From the first two equations, solve for PB and PA:
[tex]\displaystyle \frac{1}{\tan 35^\circ } = \frac{PB}{50} \Rightarrow PB = \frac{50}{\tan 35^\circ}[/tex]
And:
[tex]\displaystyle \frac{1}{\tan 42^\circ } = \frac{PA}{50} \Rightarrow PA = \frac{50}{\tan 42^\circ}[/tex]
Therefore:
[tex]\displaystyle d = AB = \frac{50}{\tan 35^\circ} - \frac{50}{\tan 42^\circ}[/tex]
Using a calculator:
[tex]\displaystyle d= AB \approx 15.8768[/tex]
The derivative of f(x) = x3 – 12x + 5 is 3x2 – 12 . Find the coordinates of the turning points of f(x)
Answer:
(-2, 21) and (2, -11) let me know if anything didn't make sense
Step-by-step explanation:
Try and put the symbols in, so for x to the third power write x^3 just makes it all much easier.
The turning point is when a graph changes from increasing to decreasing, or the other way around. What this means is that its slope is changing from positive to negative, or the other way around.
The derivative allows you to find the slope at any point of a graph. If you are unfamiliar witht his concept let me know and I can go more into it.
Since the derrivative tells you the slope, if you find a spot where it equals 0 then you know before that point it was positive or negative, and then after that point it was the opposite. In other words it changes, so it's exactly what we are looking for. Also if a derrivative is ever non existant, like in the square root function the numbers under the square root cannot be negative, so any x value that makes them negative doesn't exist, this means you would want to check these point too because they can be turning points as well.
There are certain special cases where a derivative does not coss 0, and if that happens then the original function does not have a turning point. So keep that in mind.
The derivative is 3x^2 - 12. So we want to find when this equals 0. We also know it always exists so only need to worry about the 0s. Hopefully you are familiar with quadratics having two zeroes, if not let me know.
3x^2 - 12 = 0
3x^2 = 12
x^2 = 4
x = 2 and-2
So these are the turning points. You should double check though and choose an x value below -2, then between -2 and 2, then larger than 2 and make sure the signs swap.
These are the x values of the turning points. Solve f(x) at these points to find the y values. so f(-2) = (-2)^3 - 12(-2) + 5 = 21 and f(2) = -11 so now we know the turning points are (-2, 21) and (2, -11)
The coordinates of the turning points of f(x) are (-2, 21) and (2, -11).
What is differential equation?An equation containing derivatives of a variable with respect to some other variable quantity is called differential equations. The derivatives might be of any order, some terms might contain product of derivatives and the variable itself, or with derivatives themselves.
The turning point is when a graph changes from increasing to decreasing, or the other way around that means, its slope is changing from positive to negative.
Given that the derivative of f(x) = x³ – 12x + 5 is 3x² - 12.
Since the derrivative tells the slope, if you find a spot where it equals 0 then before that point it was positive or negative, and then after that point it was the opposite.
The derivative is 3x² - 12.
3x² - 12 = 0
3x² = 12
x² = 4
Thus, x = 2 and-2
So, these are the turning points.
Now Solve f(x) at these points to find the y values.
so f(x) = x³ – 12x + 5
f(-2) = (-2)³ - 12(-2) + 5 = 21
f(2) = -11
Hence, the coordinates of the turning points of f(x) are (-2, 21) and (2, -11).
Learn more about equations here;
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I need help finding the measures
Answer:
a = 50
b = 50
c = 80
d = 50
e = 130
Step-by-step explanation:
e = 180 - (25 + 25) {Angle sum property & It is an isosceles triangle}
= 180 - 50 = 130
a +e = 180 {Linear pair}
a + 130 = 180
a = 180 - 130
a = 50
d =a {Vertically opposite angles}
d = 50
c = 180 -(50+ 50 ) {Angle sum property & It is an isosceles triangle}
c = 180 -100
c = 80
a+b + c = 180 {Straight angles}
50 + b + 80 = 180
b + 130 = 180
b = 180 - 130
b = 50
Which of the following is equivalent to:
-(3x + 2)
Select one:
a.
-3x + 2
b.
-6x
c.
-5x
d.
-3x - 2
Answer:
D is the answer
-(3x + 2)
d) -3x-2
Answer:
d
Step-by-step explanation:
Given
- (3x + 2) which is equivalent to
- 1 (3x + 2) ← multiply each term in the parenthesis by - 1
= - 3x - 2 → d
Find AC..................
Answer:
Does the answer help you?
Write the sentence as an equation.
351 is 59 subtracted from m
Is means equal to.
59 subtracted from m would be m-59
Answer: 351 = m - 59
Find the value of x for which (4/5)-4 x (4/5)-7 =(4/5)2x-1 Can some1 say this ans fast plz
Answer:
Fraction form: x = -21/4
Decimal Form: x = -5.25
Step-by-step explanation:
See the picture for steps :)
Question 4 (Essay Worth 10 points)
(05.06 MC)
The distance, y, in centimeters, of an ant from a hole in the tree for a certain amount of time, x, in seconds, is shown in the graph:
A graph titled Motion of Ant is shown. The graph shows time in seconds on the x-axis and the Distance from Hole in centimeters on the y-axis. The scale on the x-axis is shown from 0 to 7 at increments of 1, and the scale on the y-axis is shown from 0 to 24 at increments of 4. The graph has 3 straight lines. The first line is labeled A and joins ordered pairs 0, 0 and 2, 16. The second line is labeled B and joins ordered pairs 2, 16 and 4, 16. The third line is labeled C and joins ordered pairs 4, 16 and 6, 0.
Part A: Is the graph linear or nonlinear? Explain your answer. (2 points)
Part B: In which segments is the graph increasing, decreasing, and constant? (3 points)
Part C: In your own words, describe the motion of the ant, as shown on the graph. (5 points)
Source
StylesFormat
The motion of the ant is a nonlinear graph;
It has its increasing segment at segment A, the constant segment at B and the decreasing segment at C.
THE TYPE OF GRAPH
The graph has 3 different straight lines, all of which point to different directions.
For a graph to be linear, such graph must have just 1 straight line. This means that the graph is nonlinear.
THE SEGMENTS OF THE GRAPH
The increasing segment of the graph is the segment that points in the upward direction.
In the attached graph, line segment A [i.e. from (0,0) to (2,16)] represents an upward movement of the ant because it points upward.
The decreasing segment of the graph is the segment that points in the downward direction.
In the attached graph, line segment C [i.e. from (4,16) to (6,0)] represents a downward movement of the ant because it points downward.
The constant segment of the graph is the segment that is represented by a horizontal line
In the attached graph, line segment B [i.e from (2,16) to (4,16)] represents the constant segment.
THE MOTION OF THE GRAPH
The ant travels at a constant speed through segment A. It then rests for 2 seconds in segment B and finally travels at a constant speed through segment C.
Learn more about graphs at:
https://brainly.com/question/9348683
Answer: got 100% on test
Step-by-step explanation:
Part A: This graph is not a linear function, because a linear function is a function whose graph is represented by a straight line and this graph does not represent a straight line. Which means it is a nonlinear function, because a non-linear function is any function that is not a linear function.
Part B: In line segment A the graph is increasing. In line segment B the graph is remaining constant. In line segment C the graph is decreasing.
Part C: The ant ran 16 cm up the hill in 2 seconds. It took 2 seconds to find his hole after that, then he ran all the way down his hole in 2 seconds.
Which is the graph of f(x) = 4[½]^x?
Answer:
from left to right the second graph
Step-by-step explanation:
f(x) = 4(1/2)^x
y = 4(1/2)^x
-find the y-intercept
if x=0 then y = 4(1/2)^0 = 4*1 =4, the y-intercept is (0,4)
so is first or second graph
-look at the second graph and check if the function go trough the point (1, 2)
if x=1 then y = 4(1/2)^1 = 4/2 = 2
so the second graph it is
The scores of James in his math test are 75, 78, 89, and 71. What score on the next test will make James’ average at least 80 ?
x > 87
x > 87
x < 87
x < 87
Answer: x ≥ 87
Step-by-step explanation:
Set the minimum score on the next test as x & calculate it:
[tex]\frac{75+78+89+71+x}{5} =80\\\\75+78+89+71+x=80(5)\\\\313+x=400\\\\x=400-313=87[/tex]
So they need at least a score of 87 for the average to be 80+.
Answer:
x ≥ 87
Step-by-step explanation:
ANSWERRRR IF UR COOL!! Plssss ILL MARK BRAINLEST Ty!!! So much ilyyyyyyy
Answer number 3. Since it's obvious in the picture.
Answer:
-2 and -1
Step-by-step explanation:
Thus ; from -1 we will move to -1.5,-2 moving to -2.5 and continuous
Which of the following functions has a horizontal asymptote at y = 2?
Answer: The first graph
Step-by-step explanation:
An asymptote is an imaginary line that the function is approaching but never reaching. y=2 is a horizontal line. Therefore by looking at the graphs, the first graph shows the two functions never approaching 2, but gets very close to it. Therefore it is the first graph.
Last one thanks to whoever helps
Answer:
see below
Step-by-step explanation:
take f(x)=5x-6, which is y=5x-6
switch the y for x and x for y and you get
x=5y-6
then add 6 on both sides and you get
x+6=5y
now divide both sides by 5 and you get
y=(x+6)/5
which is the inverse of the original function
Answer:
Solution given:
f(x)=5x-6
let f(x)=y
we get
y=5x-6
Interchanging role of x and y
x=5y-6
x+6=5y
y=[tex]\bold{\frac{x+6}{5}}[/tex]
so
f-¹=[tex]\bold{\frac{x+6}{5}}[/tex]
shown
( a ) 2x + 3y − 5z ( ) 32
( b ) x + y + z ( ) 8
( c ) x
2 + 2xy + z
2
( ) 36
( d ) (x + y)(x + z) ( ) −1
( e ) −(x
2 − y
2
) ( ) −16
Answer:
Step-by-step explaWe are losing Earth's greatest biological treasures just as we are beginning to appreciate their true value. Rainforests once covered 14% of the earth's land surface; now they cover a mere 6% and experts estimate that the last remaining rainforests could be consumed in less than 40 years.
One and one-half acres of rainforest are lost every second with tragic consequences for both developing and industrial countries.
Rainforests are being destroyed because the value of rainforest land is perceived as only the value of its timber by short-sighted governments, multi-national logging companies, and land owners.
Nearly half of the world's species of plants, animals and microorganisms will be destroyed or severely threatened over the next quarter century due to rainforest deforestatioue to rainforest deforestation. That equates to. As the rainforest species of tesrees anddisappear, so do many possible that 1% plants have been tested by sciMost rainforests are cleared by chainsaws, bulldozers and fires for its timber value and then are followed by farming and ranching operations, onian Rainforest five centuries ago. Today there are less than 200,000.
In Brazil alone, European colonists have destroyed more than 90 indigenous tribes since the 1900's. With them have gone centuries of
nation:
Solve :-
2y+1=17
......
Answer:
Solution given:
2y+1=17
subtracting both side by 1
2y+1-1=17-1
2y=16
dividing both side by 2
2y/2=16/2
y=8
The value of y is 8.Answer my question
im being timed
Answer:
the third one
Step-by-step explanation:
The perimeter of a rectangle is given by the formula P=2w+2l,where w is the width and l is the length.Rearrange the formula for the length ( ).
Answer:
l = (p - 2w)/2
Step-by-step explanation:
What is the distance from point N to LM in the figure below?
Answer:
It is 7.5
Step-by-step explanation:
Aubrey buys 12 bottles of orange juice at the corner store for a total cost of $6.36. If each bottle costs the same amount, how much is each bottle of juice?
6.36 / 12 = 0.53
just decide the total price by the number of items. given that there are no special discounts, that's all you need to do here.
Find the slope of
(-3,6)(5,-4)
Answer:
Slope: -5/4
Step-by-step explanation:
Slope formula: [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]
Plug in:
[tex]\frac{-4-6}{5-(-3)}[/tex]
Solve:
[tex]\frac{-4-6}{5-(-3)}[/tex]
-4 - 6 = -10
5-(-3) = 8
-10 5
----- = - -----
8 4
The answer is -5/4
Hope this helped.
PLEASE HELP ME WITH THIS !!!
9514 1404 393
Answer:
(x -2)^2/16 +(y +2)^2/4 = 1
Step-by-step explanation:
The equation of an ellipse is ...
((x -h)/a)^2 +((y -k)/b)^2 = 1
where (h, k) is the center, and 'a' and 'b' are the semi-axes in the x- and y-directions respectively.
Here, we have (h, k) = (2, -2), and a=6-2 = 4, b = 0-(-2) = 2. Then the equation is ...
((x -2)/4)^2 +((y +2)/2)^2 = 1
More conventionally, the denominators are multiplied out, so this is ...
(x -2)^2/16 +(y +2)^2/4 = 1
Given:∠H≅∠K Prove: ∆HMG≅∆KMJ
Answer:
what the heck is this. what grade u in cuz im skipping it
Step-by-step explanation:
618 000 in standard form
6.18000 x 10 5
This is the standard form of 618,000
Thanks , Please mark me brainliest
TyrantMC
What does the numerator of the fraction 4/3 mean?
Choose 1 answer:
(Choice A)
There is 4 parts per whole.
-
(Choice B)
There are 3 parts per whole.
-
(Choice C)
We are counting 3 parts
-
(Choice D)
We are counting 4 parts.
choice A bcs 4 is the numerator and 3 is the denominator
PLZZZZ HELPPPPPP!!!!!!!!!!!
Answer:
5/8 boxes
Step-by-step explanation:
1/3 ⋅ 1 7/8 = ?
1/3 ⋅ 15/8 = 15/24
15/24 = 5/8
5/8 boxes
The equation of a function and its table of values has been given. Complete the table.
=−2+5
Answer:
X -2 - 1 0 1 2
Y 9 7 5 3 1
Step-by-step explanation:
Given equation:
y = -2x + 5
Find:
Complete table
Computation:
Missing table;
X -2 - 1 0 1 2
Y
y = -2x + 5
When x = -2
y = -2x + 5
y = -2(-2) + 5
y = 9
When x = -2
y = -2x + 5
y = -2(-1) + 5
y = 7
When x = -2
y = -2x + 5
y = -2(0) + 5
y = 5
When x = -2
y = -2x + 5
y = -2(1) + 5
y = 3
When x = -2
y = -2x + 5
y = -2(2) + 5
y = 1
X -2 - 1 0 1 2
Y 9 7 5 3 1
2. In what ratio does the point (5, 4) divide the given line joining the points (2,1) and (7,6)
Answer:
3/2
Step-by-step explanation:
Let it be
C (5;4) , A (2;1) ; B(7;6)
Suppose that C divide the line AB in ratio m/n from point A (AC is m, CB is n)
Use the formula xc=(m*xb+n*xa)/ (m+n)
5=(m*7+2n)/(m+n)
5m+5n= 7m+2n
2m=3n
m/n=3/2
*** I NEED HELP PLEASE HELP YOUR GIRL OUT LOL**
Identify the segment parallel to the given segment
Answer:
parallel segments in order: CB, CA, CO, AN, BA, NO
please answer all the step wise step
factorise
1. a^2 - b^2 - 4a +4
2. x^2 -xy - 3x +2 +2y
3. 4x^2 - 4a^2 - 4a - 1
4. x^2 + 3x + 2 + ax + 2a
5. 7 ( x - 1/x )^2 + 15 ( x - 1/x ) + 2
6. 64 - 144x + 108x^2 - 27x^3
7. ab^2 - b ( a-c ) - c
8. p^2 - a ^2 - 2pr + r^2
Answer:
click the link below for further explanation
Step-by-step explanation:
https://genius.com/Rick-astley-never-gonna-give-you-up-lyrics
100 PNTS AND BRAINLIST FOR CORRECT ANWSER WITH A GOOD EXPLAINATION!!
You pay $10 to play the following game of chance. There is a bag containing 20 balls: five are red, five are green, and the rest are yellow. You are to draw one ball from the bag. You will win $18 if you draw a red ball, and you will win $10 if you draw a green ball. You win nothing for drawing a yellow ball. What is the expected value? Should you play?
Answer:
Expected value is -3
You should not play
Step-by-step explanation:
five are red, five are green, 10 yellow
P(red) = red/total = 5/20 = 1/4
P(green) = green/total = 5/20 = 1/4
P(yellow) = yellow/total =10/20 = 1/2
Expected value = 1/4(18) + 1/4(10) + 1/2(0) - 10 to play
=18/4 + 10/4 - 10
=28/4 -10
=7-10
= -3
You should not play