[tex]\huge\color{pink}\boxed{\colorbox{Black}{♔︎Answer♔︎}}[/tex]
C
Answer: C. The interquartile range of the distances for the bus drivers is 5 miles less than the interquartile range of the distances for the teachers.
Simplify this equation...
Answer: 3) [tex]\frac{x+3}{x}[/tex]
Step-by-step explanation:
Start by factoring the numerator by grouping
[tex]\frac{x^3+2x^2-9x-18}{x^3-x^2-6x} \\\frac{(x^3+2x^2)+(-9x-18)}{x^3-x^2-6x} \\\frac{x^2(x+2)-9(x+2)}{x^3-x^2-6x} \\\frac{(x^2-9)(x+2)}{x^3-x^2-6x} \\\frac{(x-3)(x+3)(x+2)}{x^3-x^2-6x}[/tex]
Now factor the denominator
[tex]\\\frac{(x-3)(x+3)(x+2)}{x^3-x^2-6x}\\ \\\frac{(x-3)(x+3)(x+2)}{x(x^2-x-6)}\\[/tex]
Factor the trinomials by finding two numbers that add to get -1 and multiply to get -6. In this case the numbers are -3 and 2
[tex]\\\frac{(x-3)(x+3)(x+2)}{x(x^2-x-6)}\\\\\\\frac{(x-3)(x+3)(x+2)}{x(x-3)(x+2)}\\[/tex]
Cancel out the terms that are both in the numerator and denominator. In this case they are (x-3) and (x+2)
[tex]\\\frac{(x-3)(x+3)(x+2)}{x(x-3)(x+2)}\\\\\\\frac{(x+3)}{x}\\[/tex]
Simplify. 3(1 + 5x + y)
Answer:
Your simplified expression would be 15x + 3y + 3.
Step-by-step explanation:
Rearrange termsDistributeSolution = 15x + 3y + 3.
The table below shows the value of a car during certain years . Using an exponential model , write an equation for the curve of best fit, then estimate the value of the car in 2016 .
The exponential function that gives the value of the car in t years after 2008 is:
[tex]A(t) = 27500(0.88)^t[/tex].
Using the function, the estimate for the value of the car in 2016 is of $9,900.
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem:
The initial value is of A(0) = 27,500.Considering the first year change, we have that 1 - r = 24200/27500 = 0.88.Hence, the equation is:
[tex]A(t) = 27500(0.88)^t[/tex]
2016 is 8 years after 2008, hence the value of the car will be given by:
[tex]A(8) = 27500(0.88)^8 = 9900[/tex]
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The exponential function is given as y = 27500(0.88)ˣ and the value of the car in 2016 is $9890
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let y represent the value of the car after x years after 2008, hence:
at x = 0, y = 27500
27500 = ab⁰
a = 27500
At x = 1, y = 24200, hence:
24200 = 27500b¹
b = 0.88
y = 27500(0.88)ˣ
In 2016, x = 8, hence:
y = 27500(0.88)⁸ = 9890
The exponential function is given as y = 27500(0.88)ˣ and the value of the car in 2016 is $9890
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What is the surface area of the following solid figure?
Answer:
62 in^2
Step-by-step explanation:
When finding the surface area of a trianglular prism, we can use the formula : ( S1 + S2 + S3 ) * l + bh.
Now, we simply plug in the values :
( 2.5 +2.5 + 3 ) * 7 + 6
( 8 ) * 7 + 6
56 + 6
62
Use the bar graph to find the experimental probability of the event.
The experimental probability of spinning a number less than 3 is
.
Answer: 2 Hope This Is Right!
Step-by-step explanation:
I NEED HELP FAST PLEASE HELP ME
Answer:
B
Step-by-step explanation:
Which equation best represents the relationship between x and y in the graph?
Answer:
C is your correct answer : y = 2x + 3
Step-by-step explanation:
Your answer choices are all in slope-intercept form.
Slope-Intercept Form: y=mx+b
First, you need to find the y-intercept.
Coordinate Point: (0,3) is your y-intercept.
Now, you need to find the slope.
This slope is positive.
There's another point (1,5).
This point is important because you can start at your y-intercept and rise and run to get to (1,5).
You have to rise up 2 and go over to the right 1.
2/1 is your slope but simplified is 2.
Your formula: y = 2x + 3
C is your correct answer
When finding an indefinite integral, your answer must include.
An appropriate answer of a indefinite integral must include the original integral, the solution of that integral including its integration constant.
What must an answer about a indefinite integral of a function include?
A definite integral is an infinitesimal sum derived from a integrable function, that is, a function that exist for all value x within the range of integration.
[tex]\int {f(x)} \, dx = \lim_{n \to \infty} \sum\limits_{i=0}^{n} f(x) \Delta x + C[/tex] (1)
Where C is the integration constant.
An appropriate answer of a indefinite integral must include the original integral, the solution of that integral including its integration constant. [tex]\blacksquare[/tex]
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QUICKK HELP PLSSSSSS
Answer:
2/3 cupStep-by-step explanation:
Use the given proportion
4g = 6aSolve this for a, divide both sides by 6:
6a/6 = 4g/6a = (2/3)gIt means
2/3 cup of a guice is used for 1 cup of apple juiceThe height of Mountain Pis 1,086 feet. The height of Mountain Q is 4 times the
height of Mountain P. The area model shown below represents one way to find
the height of Mountain
What is the height, in feet, of mountain Q?
Answer:
4,344 feet
Step-by-step explanation:
Mt. P is 1,086 feet tall. It says that Mt. Q is 4 times that. 1,086 x 4 is 4,344.
URGENT! I NEED HELP
You want to buy 700 of an item, but it has to cost $200 or less. What is the maximum amount that the item can cost to meet your criteria?
Answer:
0.28571428571
Step-by-step explanation:
because 200 ÷ 700 will equal that weird number
What is the product of 4 x 23? Type in the answer.
Answer:
92
Step-by-step explanation:
Answer:
92
Step-by-step explanation:
What is the product of 4 x 23? Type in the answer?
=> 23 × 4
=> 92 answer
hope that helps...
show your work step by step
Answer:
Step-by-step explanation:
Using Reflection, ADP and BCP are the same.
If line PD is equal to line PC, angle 1 is equal to angle 2 and angle 3 is equal to angle 4, then line AP is equal and a reflection of line BP, line AD is also equal and a reflection of line BC
In reflected angles, the sides and angles of the shape are not altered.
The original image and reflected shape above are same size and shape therefore triangle ADP and BCP are the same.
4x2-16=0 gcf pre calc btw
How many bags of grapes had a weight of 3/8 pounds or less?
Jessica is 17 in five years her age will 5/2 the age of her sister
Given the information in the question, in three years, the age of Alica would be 53.
What are fractions?A fraction is a non-integer. It is made up of numerators and denominators. An improper fraction is a fraction where the numerator is larger than the denominator. An example is 5/2/
What will be Alicia's age in 3 years?The first step is to determine Jessica's age in 5 years : 17 + 5 = 22
The second step is to determine Alica's age in 5 years : 5/2 x 22 = 55
Now, subtract 2 from 55: 55 - 2 = 53
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I need help with this question.
Answer:
B quadrant 4
Step-by-step explanation:
to check it, calculate the sin and cos of 300°
Kyra went to the grocery store on Monday and bought 5 apples and 2 oranges for a total of $3.45. On Thursday she bought 3 oranges and 7 apples for a total of $4.90. How much do the apples and oranges cost?
Answer:
The apples and oranges cost .49 cents each
Step-by-step explanation:
When we do 5 + 2 we get 7, 7 is our number of apples and oranges combined.
Next we do 3.45 divided by 7 and get .49
When we do the same for thursday, we get the same answer which confirms our answer.
g(a) = 3a + 2
f(a)=2a-4
Find (g/f)(3)
Answer:(gf)(3)=g(3)f(3) g(a)=3a+2 or g(3)=3(3)+2=9+2 =11 f(a)=2a−4 f(3)=2(3)−4=6−4=2 g(3)f(3)=112. Answer
Step-by-step explanation:
(100 points) ASAP need help with khan academy practice
Answer:
125,
Step-by-step explanation:
the answer would be fifteen because 5 to the third power is 125.
Edmundo brought 4 trading cards yesterday. he brought some more trading cards today. now he has 12 trading cards. if n represents the number of trading cards Edmundo bought today, which equation is correct?
Answer:
4+n=12
Step-by-step explanation
yesterday= 4
today= unknown
4+n=12
Answer:
The equation that you would use would be, 4+n=12
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Step-by-step explanation:
I hope this helps you :)
Pls mark brainliest :P
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W/ <3...
Tori
The arc length of a sector created by a 90 degrees angle is 2 pi cm. What is the circumference of the entire circle? Express the answer in terms of Pi.
Recall the formula StartFraction Arc length over Circumference EndFraction = StartFraction n degrees over 360 degrees EndFraction.
StartFraction pi over 4 EndFraction centimeters
StartFraction pi over 2 EndFraction centimeters
6 pi centimeters
8 pi centimeters
Answer:
8 pi cm
Step-by-step explanation:
90 degrees is 1/4 of the entire circle (360 degrees)
2 pi * 4 = 8 pi cm
Barrett is 5 years less than half Cayden’s age. If Barrett is 11 years old, what is Cayden’s age?
(Someone help I’ve done this problem multiple times and I keep getting different answers)
The age of Cayden is given by the equation C = 32 years old
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the age of Cayden be C
Let the age of Barret be B = 11 years old
And , Barrett is 5 years less than half Cayden’s age
B = ( C / 2 ) - 5
On simplifying the equation , we get
11 = ( C / 2 ) - 5
Adding 5 on both sides , we get
16 = C / 2
Multiply by 2 on both sides , we getr
C = 32 years old
Therefore , the value of C is 32 years
Hence , age of Cayden is 32 years
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Solve the inequality. 2(4 2x)≥5x 5 x≤−2 x≥−2 x≤3 x≥3
Answer:
x > 1, x5 < - 2/5
Step-by-step explanation:
In order to determine whether or not there is a significant difference between the mean hourly wages paid by two companies (of the same industry), the following data have been accumulated. Company A Company B Sample size 90 45 Sample mean $15.75 $15.25 Sample standard deviation $1.00 $0.95 The p-value is 0.0057. At the 5% level of significance, the null hypothesis should be rejected. should be revised. should not be rejected. should not be tested.
The p-value is 0.0057 and at the 5% level of significance, the null hypothesis should A. be rejected.
What is p-value?It should be noted that the p-value is used to validate a hypothesis against the observed data.
In this case, the p-value is 0.0057 and at the 5% level of significance, the null hypothesis should be rejected. This is because there's no enough evidence to conclude that there's a significant difference.
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1. Avenue A runs parallel to Avenue B, and Avenue C runs diagonally across the two streets. Use the marked angles to write and solve an equation to find the value of x. 10x + 6 Avenue A 6x – 18 Avenue C Avenue B
The value of the equations related to the angle system related to the two parallel lines (avenues A and B) cut by a third diagonal line (avenue C) is equal to to 12.
How to determine the value of x from a system of angles
In this question we must apply all Euclidean theorems of angles between two parallel lines cut by a third diagonal line. The internal angle between avenues B and C equals 6 · x - 18 and the external angle between avenues A and C equals 10 · x + 6.
By alternate internal angles between parallel lines we infer the measure of the internal angle between the avenues A and C equals 6 · x - 18, and definition of supplementary angles we have the following expression:
(6 · x - 18) + (10 · x + 6) = 180
16 · x - 12 = 180
16 · x = 192
x = 12
The value of the equations related to the angle system related to the two parallel lines (avenues A and B) cut by a third diagonal line (avenue C) is equal to to 12. [tex]\blacksquare[/tex]
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A small box contains 30 packets of cheese and onion crisps and 20 packets of salt and vinegar crisps
A large box contains 50 packets of cheese and onion crisps and 30 packets of salt and vinegar crisps
A packet of crisps in chosen at random
From which box are you more likely to choose a packet of salt and vinegar crisps
Answer: small box
Step-by-step explanation:
Large box probability is 30/80= 3/8
Small box = 20/50 =2/5
Which is bigger 3/8 or 2/5
15/40 or 16/40
What our data tells us is also known as the what?
A. Coefficient
B. Correlation
C. Proof
D. Guide
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The ceiling of Stacy's living room is a square that is 22 ft long on each side. Stacy knows the diagonal of the ceiling from corner to corner must be longer than 22 ft, but she doesn't know how long it is. Solve for the length of the diagonal of Stacy's ceiling in two ways: (a) Using the Pythagorean Theorem. (b) Using trigonometry. Round each answer to the nearest whole number and make sure to show all your work. (Hint: the answers should be the same!) Question 2 options:
The length of the diagonal of Stacy's ceiling was found to be 31 feet using both Pythagorean theorem and trigonometry.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let d represent the length of the diagonal, Usinng Pythagoras:
d² = 22² + 22²
d = 31 feet
Using trigonometric identity:
sin(45) = 22/d
d = 31 feet
The length of the diagonal of Stacy's ceiling was found to be 31 feet using both Pythagorean theorem and trigonometry.
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True or false: The solution of 3x=9 is equal to the solution of x – 1=2.
Answer:true
Step-by-step explanation: