Answers
Answer:
The answer is A.
Step-by-step explanation:
The angles add up to be 180°, which makes a supplementary relationship.
Related Questions
Vertical, Complementary and Linear Pair Angles Last one maybe?!
Answers
When solving an equation, Henry gets to the
last line of his work and is left with “3 = 3".
What does this mean?
A. The solution is 3.
B. There is only one solution.
C. There is no solution.
D. There are infinite solutions.
Answers
Answer:
answer the solution is 3
Help me with this!!! ( fake answers will be reported)
Answers
Answer:
16
Step-by-step explanation:
3x-8=2x
x=8
QR=2*8=16
PLEASE HELPPPPPPPPP ASAPPPP
Answers
Answer:
x = 7
Step-by-step explanation:
what is the length of PR
Answers
Answer:
9
Step-by-step explanation:
This is because 21/7 is 3. So, you use the scale factor of 3 to divide 27/3 to get x which is 9.
simplify y^3 + 11y^2 - 10y + 6 / y + 2
Answers
Answer: used the synthetic division method
y^2+9y-28+(62/y+2)
Step-by-step explanation:
y =square root 1-x/1+x find it's derivative
Answers
Answer:
The first derivative of [tex]y = \sqrt{\frac{1-x}{1+x} }[/tex] is [tex]y' = -\frac{1}{(1-x)\cdot (1+x)^{3/2}}[/tex].
Step-by-step explanation:
Let [tex]y = \sqrt{\frac{1-x}{1+x} }[/tex]. we can determine its first derivative by Rule for the Square Root Function, Rule for Power Function, Rule of Chain and Rule for the Addition of Functions, Rule for the Subtraction of Functions, Rule for the Division of Functions:
[tex]y' = \frac{1}{2\cdot \sqrt{\frac{1-x}{1+x} }}\cdot \frac{(-1)\cdot (1+x)-(1)\cdot (1-x)}{(1+x)^{2}}[/tex]
[tex]y' = \frac{1}{2}\cdot \sqrt{\frac{1+x}{1-x} }\cdot \left[\frac{-1-x-1+x}{(1+x)^{2}} \right][/tex]
[tex]y' = \frac{1}{2}\cdot \sqrt{\frac{1+x}{1-x} } \cdot \left[-\frac{2}{(1+x)^{2}} \right][/tex]
[tex]y' = -\frac{1}{(1-x)\cdot (1+x)^{3/2}}[/tex]
The first derivative of [tex]y = \sqrt{\frac{1-x}{1+x} }[/tex] is [tex]y' = -\frac{1}{(1-x)\cdot (1+x)^{3/2}}[/tex].
Please when answering show your full work. Step-by-step process.
Answers
what is the value of the fourth term in a geometric sequence for which a1= 30 and are= 1/2?
Answers
Answer:
15/4.
Step-by-step explanation:
4th term = a1 r^3
= 30(1/2)^3
= 30/8
= 15/4.
Answer:
It's 3.75 or 15/4
Step-by-step explanation:
When you put it in proper form, it becomes a4= 30 x (1/2)^3, when computed, it equals 3.75. Thank you.
Describe the behavior of the function ppp around its vertical asymptote at x=-2x=−2x, equals, minus, 2.
Answers
Answer:
[tex]x->-2^{-}, p(x)->-\infty[/tex] and as [tex]x->-2^{+}, p(x)->-\infty[/tex]
Step-by-step explanation:
Given
[tex]p(x) = \frac{x^2-2x-3}{x+2}[/tex] -- Missing from the question
Required
The behavior of the function around its vertical asymptote at [tex]x = -2[/tex]
[tex]p(x) = \frac{x^2-2x-3}{x+2}[/tex]
Expand the numerator
[tex]p(x) = \frac{x^2 + x -3x - 3}{x+2}[/tex]
Factorize
[tex]p(x) = \frac{x(x + 1) -3(x + 1)}{x+2}[/tex]
Factor out x + 1
[tex]p(x) = \frac{(x -3)(x + 1)}{x+2}[/tex]
We test the function using values close to -2 (one value will be less than -2 while the other will be greater than -2)
We are only interested in the sign of the result
----------------------------------------------------------------------------------------------------------
As x approaches -2 implies that:
[tex]x -> -2^{-}[/tex] Say x = -3
[tex]p(x) = \frac{(x -3)(x + 1)}{x+2}[/tex]
[tex]p(-3) = \frac{(-3-3)(-3+1)}{-3+2} = \frac{-6 * -2}{-1} = \frac{+12}{-1} = -12[/tex]
We have a negative value (-12); This will be called negative infinity
This implies that as x approaches -2, p(x) approaches negative infinity
[tex]x->-2^{-}, p(x)->-\infty[/tex]
Take note of the superscript of 2 (this implies that, we approach 2 from a value less than 2)
As x leaves -2 implies that: [tex]x>-2[/tex]
Say x = -2.1
[tex]p(-2.1) = \frac{(-2.1-3)(-2.1+1)}{-2.1+2} = \frac{-5.1 * -1.1}{-0.1} = \frac{+5.61}{-0.1} = -56.1[/tex]
We have a negative value (-56.1); This will be called negative infinity
This implies that as x leaves -2, p(x) approaches negative infinity
[tex]x->-2^{+}, p(x)->-\infty[/tex]
So, the behavior is:
[tex]x->-2^{-}, p(x)->-\infty[/tex] and as [tex]x->-2^{+}, p(x)->-\infty[/tex]
6
5
21
-2
2
3
Equation:
Answers
Answer:
y = 1/2x + 3
Step-by-step explanation:
Rise/Run and since y = 3 when x = 0, then the b part in y = mx + b is 3.
3. For every 3 cans of vegetables purchased, you get 1 free
can. Tessie went home with 32 cans of vegetables. How
many did she have to pay for?
A 32
B 24
C 16
D 8
Answers
Answer:
B.24
Step-by-step explanation:
32 divided by 4
=8
8x3=24 paid cans
36-24=8 free cans
g(x) = -0.5x^2 + 4x – 2
Answers
Answer:
Step-by-step explanation:
What is the question?
g(x) = -0.5x² + 4x - 2 is a down-opening parabola. Do you need to know how to put it in vertex form?
vertex (4,6)
focus (4,5.5)
Samantha threw an apple out of a window from the tenth floor of her apartment building. The equation y=-16t^2+120y = − 16 t 2 + 120 can be used to represent the fruit's height above the ground, where t represents time, in seconds, after she threw the apple. How long did it take the apple to hit the ground? Round our answer to the nearest hundredth.
Only type in the numerical answer.
Answers
Answer:
2.74 Seconds
Step-by-step explanation:
-16t²+120=0
-16t²=-120
t²=7.5
t=2.74
True or False: Mutual funds can include a wide variety of industries and sectors of the economy.
Answers
Answer:
that's The truth
Step-by-step explanation:
that's more like a trade
Type your answer in the box provided. Make sure to use complete sentences.
Real World: Choose ONE of the following quadratic equations to solve. State your method of solving, giving your reasoning for why you chose that method. Show all work, and put your final answers in context.
A person walking across a bridge accidentally drops an orange into the river below from a height of 140 ft. The equation 0=−x2+7x+18 gives the relationship between how many seconds, x, have passed when the orange hits the water. In how many seconds will the orange hit the water?
A bird drops a stick to the ground from a height of 80 feet. The equation 0=−16x2+64x+80 gives the number of seconds that have passed when it hits the ground. After about how many seconds did the stick hit the ground?
Things you MUST include: (1 point each for a total of 5 points)
Method of solving the quadratic.
Reasoning for choosing this method.
All work to solve the quadratic equation.
The two mathematical answers to the equation.
The answer to the question asked, based on which answer is reasonable.
You may either type your answer in the text box below OR upload a file, picture, or scan of handwritten answers. All files should be saved using the following template: "Last Name_First Name_Assignment Name_Question Number." Refer to Orientation for help with file uploads.
Answers
Answer:
A bird drops a stick to the ground from a height of 80 feet. The equation 0=−16x2+64x+80 gives the number of seconds that have passed when it hits the ground. After about how many seconds did the stick hit the ground?
Step-by-step explanation:
h = -16t^2 + 80 Stick hits the ground when h = 0:
0 = -16t^2 + 80
16t^2 = 80
t^2 = 80/16 = 5
t = POSITIVE root 5 (due to the real world nature of the problem)
t approximately 2.236 seconds.
========================================
Graph is a downward opening parabola with h-intercept of 80, t-intercept(s) of sqrt(5), - sqrt(5)
Symmetric about h-axis, though I would only graph on the right side of the h-axis since
that is where t >= 0.
What is the length of the line?
Answers
Answer:
[tex]\sqrt{61}[/tex]
Step-by-step explanation:
x = 6 units horizontally
y = 5 units vertically
Use the pythagorean theorem[tex]\sqrt{x^{2} + y^{2} } = L[/tex]
Plug x and y into the equation, and you will get [tex]\sqrt{61}[/tex] as the length.
Answer:
7.8 units (which is to the nearest tenth)
Step-by-step explanation:
We apply the Pythagorean Theorem here; the length of the line is the length of the hypotenuse of a triangle whose horizontal leg length is 6 and whose vertical leg length is 5 units. This Theorem is expressed symbolically as
a^2 + b^2 = c^2. In this particular case, a = 6, b = 5 and c is to be determined. Performing the calculations, we get
6^2 + 5^2 = c^2, or:
36 + 25 = 61 = c^2
Taking the positive square root of both sides, we get c = √61 ) exactly,
which rounds off to 7.8 units (to the nearest tenth).
The length of the line is 7.8 units.
A fireworks rocket is launched from a hill above a lake. The rocket will fall into the lake after
exploding at its maximum height. The rocket's height above the surface of the lake is given by g(x)=
-16x² + 64x + 80. What is the maximum height of the rocket?
Answers
Answer:
(2,114)
Step-by-step explanation:
g(x)= -16x² + 64x + 80
Plug 2 in to check if it's correct.
g(2)= -16(2)² + 64(2) + 80
-16(4)+128+80
-64+128+80
= 144
Answer:
144
Step-by-step explanation:
If WZ = 23 and XZ = 18, what is YZ?
pls help
Answers
Answer:
YZ = 14
Step-by-step explanation:
We are told that;
WZ = 23 and XZ = 18
Now, ∠X in △XWZ which is a right angle triangle can be gotten using trigonometric ratio.
Thus;
WZ/XZ = tan θ
23/18 = tan θ
tan θ = 1.2778
θ = tan^(-1) 1.2778
θ = 51.95°
Now, the ∠X is 90° in △XWY.
Thus, in △XZY, ∠X = 90 - 51.95 = 38.05°
Again, using trigonometric ratio, we can find YZ.
Thus;
YZ/XZ = tan 38.05°
YZ = XZ tan 38.05°
YZ = 18 × 0.7827
YZ = 14.0886
Approximating to a whole number gives: YZ = 14
inter quartile range 20, 10 , 30 ,40 help please
Answers
Answer:
The interquartile range is 30
Step-by-step explanation:
Here, we want to get the interquartile range
We start by arranging the numbers in order
10,20,30,40
The first quartile is;
(n + 1)/4 th term = (4+ 1)/4 = 5/4 = 1.25
This is approximately the first term = 10
Q3 is the third quartile
That is;
3(n + 1)/4 = 3(5)/4 = 15/4 =3.75
This is approximately the 4th term = 40
The interquartile range is the difference between the first and third quartile
Mathematically, we have that as;
40 - 10 = 30
help pls !! will mark brainliest !!
Answers
Answer:
y = 21
Step-by-step explanation:
(3y-8) = 55 (corresponding angles are equal)
3y-8 = 55 (add 8 from both sides)
3y = 63 (divide 3 from both sides to isolate the y variable)
y = 21 (final answer)
Answer:
y = 21
Step-by-step explanation:
After a bicycle tire has done 10 rotations, it has traveled 879.2 inches. Write and solve an equation to find the radius of the tire.
Answers
Answer:
14in approx
Step-by-step explanation:
Given data
number of rotations= 10
Distance travelled= 879.2 inches
Hence if in 10 rotations the distance covered is 879.2 inches
in 1 rotation the distance covered will be x inches
cross multiply
10x= 879.2
x= 879.2/10
x= 87.92 inches
This means that the circumference of the tire is 87.92 in
From
C= 2πr
Let us solve for r
87.92=2*3.142*r
87.92=6.284r
r= 87.92/6.284
r= 13.9
Hence the radius is 14in approx
The population of cats in a town increased by 25% from Year 1 to Year 2. The population of cats in Year 2 is 60.
Answers
Answer: See explanation
Step-by-step explanation:
Your question isn't complete but I guess that you want to find the population of the cats in Year 1. This will be represented by x. Therefore,
x + (25% × x) = 60
x + (0.25 × x) = 60
x + 0.25x = 60
1.25x = 60
x = 60/1.25
x = 48
The population of cats in year 1 is 48
Find the slope and y-intercept of the line whose equation is 3x - 5y - 8 = 0
Answers
Answer:
[tex]y = \frac{3}{5}x-\frac{8}{5}[/tex]
Step-by-step explanation:
3x - 5y - 8 = 0
-5y = -3x + 8
Divide the whole equation by (-5)
[tex]\frac{-5y}{-5}=\frac{-3x}{5}+\frac{8}{-5}\\\\y = \frac{3}{5}x-\frac{8}{5}[/tex]
Find the slope of the line: y+5 = -3/4x
Answers
Answer:
y = -3/4x - 5
Slope: -3/4
y-intercept: -5
Brookwood High School is considering adding co-ed soccer to the sports program for the fall season. In order to get an unbiased sample of interest in soccer, who should the school survey?
A.
members of the soccer team
B.
students in freshman homerooms
C.
girls in PE class
D.
every fifth student entering the cafeteria
Answers
In order to get an unbiased sample of interest in soccer, the school survey should be conducted D. every fifth student entering the cafeteria.
What are Sampling Methods?Sampling methods are methods used to select a sample using specific methods. This includes various types of probability sampling and non probability sampling methods.
Given that,
Brookwood High School is considering adding co-ed soccer to the sports program for the fall season.
We need to get an unbiased sample of interest.
If the survey is conducted only among the members of the soccer team, the result will be biases because only the interest of someone in the team is known.
Similarly, in the case of students in freshman homerooms and girls in PE class.
If we select every fifth student entering the cafeteria, there is a chance for all the levels of students to be included which eliminates the possible bias.
Hence the option is D.
Learn more about Sampling Methods here :
https://brainly.com/question/12902833
#SPJ3
Charlotte borrows $9000 to buy a second-hand car. The loan must be repaid
over 5 years at 12% p.a. simple interest. Calculate the
total amount to be repaid
Answers
Answer:
$13,400
Step-by-step explanation:
Simple Interest = principal × rate × time
principal= $9000
Rate= 12/100=0•12
Time=5years
Simple interest =PRT
= 9000× 0•12 × 5
= 5400
Total amount to be paid = 9000 + 5400
= $13400
The nth term of a sequence is 1 - 5n
Work out the 6th term of the sequence.
6th term =
Answers
Step-by-step explanation:
nth term = 1 - 5n
6th term = 1 - 5(6)
= 1 - 30
= - 29
Find the sum of – 52 , -36 , 42, 8 ,-22 and 46
Answers
Please help me anyone ;-;
Answers
Answer:
hi
Step-by-step explanation:
Answer:
Part A: two lines, one line will be across $72 all the way. the second line will be a slope.
part b: 5 or less
Step-by-step explanation:
part A: time is x in the equation y=12x and y is the cost. so, plug in the x values and see what y values are. then plot the points and then draw a straight line.
part b: the rider charges $72 dollars for the whole day. if you wanted a bike from bikerama for 6 hours, it would be the same price. so, go for less hours and the price will be better