Answer:
The slope between two points. The rate at which the dependent variable changes with the independent variable. Yes between episode 5 and episode 6
Step-by-step explanation:
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.
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
Raj is 53.56 inches tall. He is 1.3 times as tall as his younger sister. How tall is Raj's younger sister
Answer:
41.2 inches tall
Step-by-step explanation:
53.56 / 1.3 = 41.2
Step-by-step explanation:
Let Raj's sister's height be x
53.56= 1.3x
= 53.56/1.3=x
= 41.2=x
True or False: Mutual funds can include a wide variety of industries and sectors of the economy.
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.
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.
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
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 :
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i need assistance.
i'll give a brainiest
Answer:
MP =8
Step-by-step explanation:
QR = 1/2 MP
76 -8x = 1/2 (89 - 9x) Multiply both sides by 2
152 - 16x = 89 - 9x Subtract 89 from both sides
152-89 - 16x = - 9x Add 16x to both sides.
63 - 16x +16x = 16x - 9x
63 =7x Divide by 7
x = 63/7
x = 9
MP = 89 - 9*9
MP = 8
Find the square roots of the two factors of 36 and multiply them.
please help me asappp
Answer:
1) -20.5
-8
4.5
13
2) 9
4
-1
-6
3) 2
4
6
8
Step-by-step explanation:
plug in the x values, then use pemdas
Write a system of equation
Answer:
In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought. An equation system is usually classified in the same manner as single equations, namely as a: ... System of difference equations
please give brainliest
The nth term of a sequence is 1 - 5n
Work out the 6th term of the sequence.
6th term =
Step-by-step explanation:
nth term = 1 - 5n
6th term = 1 - 5(6)
= 1 - 30
= - 29
Amy wrote a 10 sided die numbered one through 10 what is the probability that she will hold a number divisible by four
Answer:
2/10 or 20%
Step-by-step explanation:
Because 4 and 8 are the only numbers 1-10 that are divisible by four.
This would give Amy a 2/10 chance of rolling a number divisible by 4.
To turn 2/10 into a percent, the denominator has to be 100 so if you multiply 10 by 10 you will get 100, you will also have to multiply 2 by 10 to get 20 and you will get 20/100
20/100 is equal to 20%
Therefore your answer would be 2/10 or 20%
Hope this helps
- Please mark brainliest :)
(4, 19) and (2, 11)
What’s the slope?
Answer:
Slope is 4. Use the slope formula to solve it.
Answer:
Slope (m) =
ΔY
ΔX
=
4
1
= 4
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.
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
Can you please factor (5n^2+10xn)(2n-3) all of the way down? (worth 50 pts)
Answer:
n((2n+3)(5n+2x))
Step-by-step explanation:
that is the step by step solution
Answer:
Step-by-step explanation:
I can help
Step 1
(5n^2+10xn)(2n-3) Factorise
Step 2
5n^2+10xn factor
5n(n+2x)
5n(n+2x)(2n-3)
Answer
5n(n+2x)(2n-3)
Hope this helps
An aquarium has 14 angel fish, 12
clownfish and 18 seahorses. What is the
ratio of seahorses to total number of fish?
Answer:
18 : 26
Step-by-step explanation:
It is very easy, angel fish and clown fish are fish, so once you add them up you get 26. The seahorses are 18 and we are supposed to make them S:F. Therefore you put the seahorses first and the fish second, so you get the answer 18:26
Expand using suitable identity ( 3u + 5v )∧3
Answer:
Use symbolab
Step-by-step explanation:
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.
Answer:
2.74 Seconds
Step-by-step explanation:
-16t²+120=0
-16t²=-120
t²=7.5
t=2.74
Vertical, Complementary and Linear Pair Angles Last one maybe?!
PLS. HELPPPP I WILL GIVE BRAINLITES
12 What is the slope of this line?
Answer:
positive slope
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
what two numbers can multiply to equal -63 as well as add to equal -2?
Answer: -9 and 7
Step-by-step explanation: [tex]-9x7=63[/tex] and [tex]-9+7=-2[/tex]
someone plssss helpppp
Describe the behavior of the function ppp around its vertical asymptote at x=-2x=−2x, equals, minus, 2.
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]
y =square root 1-x/1+x find it's derivative
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].
The length of the base of an isosceles triangle is x. The length of a leg is 3x + 2. The perimeter of the triangle is 39. Is there enough information to solve for x? If so, find x. A. Not enough information B. 9 о с. 5 D. 12.5
Answer:
Step-by-step explanation:
2(3x+2) + x = 39
6x+4+x = 39
7x = 35
x = 5
Please when answering show your full work. Step-by-step process.
Decide whether the data in the table represent a linear function or an
exponential function. Explain how you know.
х
y
1
4
-5
3
-14
сл - IN
-23
-32
A. The data represent an exponential function because there is a
common ratio of 4.
B. The data represent a linear function because there is a common
difference of 9
C. The data represent an exponential function because there is a
5
common ratio of -
D. The data represent a linear function because there is a common
difference of -9.
Answer:-8
Step-by-step explanation:
The data represent a linear function because there is a common difference of -9.
What is a linear function?The term linear function refers to two distinct but related notions: In calculus and related areas, a linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.
Given, the table, we need to see whether the data in the table represent a linear function or an exponential function.
From the table, we have the following highlight :-
As the values of x increase by 1, the values of y decrease by 9
A decrement of 9, means -9
This means that, the common difference is -9.
Only a linear function can have a common difference.
Hence, the true statement is (b)
Read more about linear functions at:
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Find the slope and the y-intercept of the line.
5x-4y=-8
Write your answers in simplest form.
Answer:
The slope is 5/4 and the y-intercept is 2.
Step-by-step explanation:
5x-4y=-8
4y=5x-(-8)
4y=5x+8
y=5/4x+8/4
y=5/4x+2
y=mx+b where m=slope and b=y-intercept.
What is the length of the line?
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.
Ron made 3 pitchers of lemonade sell at a lemonade stand. The cost of making the lemonade is 50 cents per pitcher of lemonade.
He sold each cup of lemonade for 15 cents, and he sold a total of 36 cups of lemonade.
How much money did Ron make selling lemonade after paying out the cost of making the lemonade?
Answer:
Step-by-step explanation:
cost = 3 pitchers × $0.50/pitcher = $1.50
revenue = 36 cups × $0.15/cup = $5.40
profit = $5.40 - $1.50 = $3.90
6
5
21
-2
2
3
Equation:
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.