The goal amount of the student groups are given in percentages, which are fractions based on one hundred.
The flutist raised more money than the trumpetersThe difference in the amounts the student raised is $256.5Reasons:
The amount the school band is raising for the trip = $9,500
Goal of the flutist = To raise 18% of the total amount
Goal of the trumpeters = 85% of the flutist's goal
Required:
The group that raise more money, given that their goals are met
Solution:
Given that the goal of the trumpeters trumpeters is 85% of the goal of the flutist, the flutist raised more money.
Required:
The difference in the amount raised by the students
Solution:
The amount raised by the flutist = 18% of $9,500 = 0.18 × $9,500 = $1,710
Amount the trumpeters raised = 85% of $1,710 = 0.85 × $1,710 = $1,453.5
The difference in the amount raised = $1,710 - $1,453.5 = $256.5
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The shape of f(x) = x^3, but shifted four units to the left, eight units down, and then reflected in the y-axis (in that order)
Answer:
steps below
Step-by-step explanation:
f(x) = x³
1. shifted four units to the left: f'(x) = (x+4)³
2. eight units down: f''(x) = (x+4)³ - 8
3. reflected in the y-axis: f'''(x) = (-x+4)³ - 8
The final shape after the transformation is f(x) = -(x + 4)³ - 8.
Original function: f(x) = x³
Shifted four units to the left: f(x) = (x + 4)³
Shifted eight units down: f(x) = (x + 4)³ - 8
Reflected in the y-axis: f(x) = -(x + 4)³ - 8
Hence, the final shape of the function after these transformations is f(x) = -(x + 4)³ - 8.
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Jeremiah's barber charges $20 for a haricut. The barber is increasing his prices by 40%. What will Jeremiah have to pay the barber the next time he gets a haircut?
Answer:
$28
20 plus 40 percent
that's the answer
What is the quotient 931/4?
Answer:
here's a photo of the calculator to that question
Free tutor + free answer thank you give me that please
Answer:
Given that they know the law I think 82.93% of drivers obey this law
Answer:
the answer is
Step-by-step explanation:
i took the test
22 loaves of bread have 506 slices of bread how many slices of bread do 6 loaves have
Answer:
138 slices
Step-by-step explanation:
506 / 22 = 23 slices per loaf
23 x 6 = 138 slices
find the inverse of f(x)=x^2-3x+2
Answer:
Step-by-step explanation:
y = [tex]\frac{3}{2}[/tex] + [tex]\sqrt{x+\frac{1}{4} }[/tex] and y = [tex]\frac{3}{2}[/tex] - [tex]\sqrt{x+\frac{1}{4} }[/tex]
Answer:
Step-by-step explanation:
f(x) = x² - 3x + 2
y = x² - 3x + 2
solve for x as a function of y
y - 2 = x² - 3x
complete the square by adding the square of half the x¹ coefficient to each side of the equation.
y - 2 + (-1.5)² = x² - 3x + (-1.5)²
y + 0.25 = (x - 1.5)²
[tex]\sqrt{y + 0.25}[/tex] = x - 1.5
x = 1.5 ± [tex]\sqrt{y + 0.25}[/tex]
now swap the x and y variables and revert to function notation
f(x) = 1.5 ± [tex]\sqrt{x + 0.25}[/tex] domain is x ≥ -0.25
each input will have two outputs except where f(-0.25) = 1.5
an object has a mass of 24 grams and a volume of 6cm3. what is the density
Answer:
4 grams
Step-by-step explanation:
The value of a newly purchased computer will decrease over time. The value of the computer can be modeled by the following function:
f(t)=200+1,200(0.73)2t,
where t is measured in years since the computer was purchased.
Use the drop-down menus to complete the explanation of how the function models the computer's value over time.
Answer:
$14000200Step-by-step explanation:
a)Substitute 0 for t and evaluate the expression. Recognize that any value to the zero power is 1.
f(0) = 200 +1200(0.73^(2·0)) = 200 +1200·1
f(0) = 1400
When t=0, the value of the computer is 1400 dollars.
__
b)The exponential expression 1200(0.73^(2t)) has a horizontal asymptote of 0. It gets closer and closer to 0.
__
c)The exponential term gets closer to 0, so the function value gets closer to ...
f(∞) ≈ 200 +0 ≈ 200
f(t) gets closer and closer to 200.
Answer:
1) 1,400
2) 0
3) 200
what is the answer to this question
Answer:
a) 32km
b) 40 miles
Step-by-step explanation:
What is the value of 25
Answer:
5 po its my volt
Step-by-step explanation:
yan hooo
finding the missing number 2 4 6 __ 10 12
Answer:
8 because the pattern goes up by 2 each time
Answer:
8
Step-by-step explanation:
Does anyone know how to solve this?
The answer is B but can anyone explain it please
Answer: sorry no
Step-by-step explanation: sorry i dont want to explain it.
free pointttttttttttttttttttts
yo mama is so fat
when she saw you she died from diabetes
What is the gradient of the graph shown?
Give your answer in its simplest form.
Answer:
m=3/2
Step-by-step explanation:
Two points are shown
point 1: (0;-3). 4;3. -2-6
point 2: (2;0)
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]m = \frac{0 - ( - 3)}{2 - 0} [/tex]
[tex]m = \frac{3}{2} [/tex]
convert 24580 m into km with process
Answer:
24.58 km
Step-by-step explanation:
1 km = 1000 m
1 m = 1 / 1000 km
24580 m
= 24580 / 1000
= 24.58 km
Classify the following polynomial by its degree value. -x + x26 - 104
[tex] \: \: \: \: \: \: [/tex]
[tex] = 25x - 104[/tex]
Step-by-step explanation:
[tex] - x + x26 - 104[/tex]
use the commutative property to reorder the terms[tex] - x + 26x - 104[/tex]
collect like terms[tex] = 25x - 104[/tex]
hope it helpsis -74.58 an integer
A system of equations is graphed on the coordinate plane. y = -3x - 9 y = 3x + 9 What is the solution to the system of equations? (0,3) ( (-3,0) (3,0) (0,-3)
Answer: B. (-3, 0)
Step-by-step explanation:
y = -3x - 9...(1)
y = 3x + 9...(2)
Substitute (1) into (2)
3x+9=-3x-9
6x=-18
x=-3
Substitute y=0 into (1)
y=3(-3)+9
y=0
Therefore, the solution to the system is the ordered pair (-3, 0)
Select the expressions that represent the same quantity as 3(n + 4). 3 correct answers pls help
Answer:
3n + 12
n + n + n + 4 + 4 + 4
(n+4) + (n+4) + (n+4)
Step-by-step explanation:
Simplify 3(n+4).
3 x n = 3n
3 x 4 = 12
3n + 12
Expand.
3(n+4)
3 x n = n + n + n
3 x 4= 4 + 4 +4
And
3(n+4)
= 3 x (n+4) is equal to (n+4) +(n+4)+(n+4)
please help ill mark brainliest
Answer:
Pretty sure it is SAS as the angles are congruent
Step-by-step explanation:
Answer:
number 4
Step-by-step explanation:
both triangles use the aa as a point
Find the equation for a polynomial f(x) that satisfies the following:
- Degree 5
• Root of multiplicity 2 at x = 3
- Root of multiplicity 1 at x = 1
• Root of multiplicity 2 at x = 3
- y-intercept of (0, -162)
Root x= 3 of multiplicity 2, it means we can factor it with : (x-3)²
Root x = 1, of multiplicity 1, it means we can factor this polynomial with : (x-1)
Root x = -3, of multiplicity 2, it means we can factor this polynomial with : (x+3)²
Finally we get this expression : (x-3)²(x+3)²(x-1)
This expression is a polynomial of degree 5 but what is the y intercept of it ?
Basically, we need to replace x by zero and the value of the expression will be the y intercept :
let x = 0
then ,
(0-3)²(0+3)²(0-1) = 9*9*(-1) = -81 #-162
We need an y intercept of value = -162
Thus we simply need to multiply by 2, and finally f(x) = 2(x-3)²(x+3)²(x-1)
satisfies all the required condition
Good Luck
Example of binomial to polynomial
With a complete solution
Answer:
A binomial is an algebraic expression that has two non zero terms .eg. b¾+c/3 is a binomial in two variables b and c .
A polynomial is an expression that consists of variables (or indeterminate) terms , exponents and constants eg, 3x (SQUARED) minus 2xminus 10 is a polynomial.
Find the area of the triangle
Answer:
5/2 units²
Step-by-step explanation:
Area of triangle = 1/2 x base x altitude => 1/2 x 5 x 1=> 5/2Conclusion:
Therefore, the area of the triangle is 5/2 units².
Hoped this helped.
[tex]GeniusUser[/tex]
19.1 x 8.6 step by step.
Answer:
The is answer is 19.1x8.6= 164.26
Step-by-step explanation:
The candy store is selling Twizzlers. They have a sale of four Twizzlers for $6.00. Which equation below represents this proportional relationship?
A. y=1.5x C. y= x 2/3 B. x= 4y D. x= 6y
Answer:A. y=1.5x
Step-by-step explanation:
x represents the number of twizzlers
1.5 represents the the price that you have to pay for each Twizzlers
And y represents the total cost
There is a group of 5 turtles near the playground. More turtles joined. Now there are 13 turtles. How many turtles joined the group?
Answer:
8 turtles joined the group
Step-by-step explanation:
13-5=8
MATHH QUESTION HELP. mesasuremtns
Answer:
Step-by-step explanation:
Answer:
See image
Step-by-step explanation:
Look at the front side of the building. It's a triangle, with the height given. We can see a right triangle here which means we can use the Pythagorean theorem. a^2 + b^2 = c^2 (a and b are the shorter sides called legs and c is the longest side called the hypotenuse)
20^2 + 13^2 = c^2
400 + 169 = c^2
569 = c^2 square root both sides
Sqrt 569 is approximately 23.85 ft. This is the length from the roof peak down the front edge to the bottom front right corner in the image.
Now, if we consider the roof itself. That edge is now a leg (on the front face it was the hypotenuse). The other leg is the 35 ft width given. So we'll use pythagorean theorem again to find the diagonal
23.85^2 + 35^2 = c^2
568.8 + 1225 = c^2
1793.8 = c^2
Square root both sides of the equation.
Sqrt 1793.8 = c
42.35 ft = c
The diagonal of the roof is just over 42 feet, that is 42.35 feet.
The table below shows the cumulative distance and the number of hours Ryan drove on vacation.
Hours Driving Distance Traveled (miles)
0 0
3 186
4 248
7 434
10 620
Based on the information in the table, at what speed did he drive (miles per hour)?
A.
69 miles per hour
B.
62 miles per hour
C.
52 miles per hour
D.
42 miles per hour
Answer: 62 miles per hour
Step-by-step explanation:
620/10 = 62
The speed of Ryan is given by the slope m = 62 miles per hour
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 3 , 186 )
Let the second point be Q ( 4 , 248 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 248 - 186 ) / ( 4 - 3 )
m = 62 miles per hour
Hence , the rate of change of speed is m = 62 miles per hour
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(-3,5) (3,7)
What is the slope of AB ?
What is 3894 x 6? Use the distributive property to solve.
Answer: 23,364
Step-by-step explanation:6 x 3000 + 6 x 800 + 6 x 90 + 6 x 4