Answer:
Rotation, Reflection, Dilation.
Step-by-step explanation:
Noah has a summer tree-trimming business. Based on experience, Noah knows that his profit, P, in dollars, can be modelled by = −32 + 150 − 1200, where x is the amount he charges per tree.
1. How much does he need to charge if he wants to break even?
2. How much does he need to charge if he wants to make a profit of $600?
Answer:
Addition form: x = 75 + √3 (675 − P) / 3
or
Subtract form: x = 75 − √3 (675 − P) / 3
Perform the indicated equation
Answer:
1
Step-by-step explanation:
When dividing fractions i use the method KFC(keep flip change) :
Keep the first fraction :
[tex]\frac{14a^{2} }{10b^{2} }[/tex]
Flip the second fraction :
[tex]\frac{15b^{2} }{21a^{2} }[/tex]
Change the function :
÷ → ×
Now write your new equation :
[tex]\frac{14a^{2} }{10b^{2} }[/tex] × [tex]\frac{15b^{2} }{21a^{2} }[/tex]
Now multiply the numerators together and the denominators together :
14a² × 15b² = 210a²b²
10b² × 21a² = 210a²b²
Now make this into a fraction again :
210a²b² / 210a²b²
Anything divided by itself is always 1 so :
210a²b² / 210a²b² = 1
Hope this helped and have a good day
Translate to algebra numbers, the difference of a number times 3 and 6 equals 9.
Answer:
The equation is ×=-3
Step-by-step explanation:
Let x be the number
Difference between a number tines 3 and 6 is 9
3x-6x=9
-3x=9
x=-3
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7. A kids furniture warehouse ships small tables and chairs in certain combinations to consumers in the United States. The weight of 3 tables and 5 chairs is 62.5lbs and the weight of 3 tables and 2 chairs is 52lbs. Create and solve a system of equations to find out how much each table and chair weighs.
The weight of each small tables and chairs in the United States is 15lbs and 3.5lbs respectively.
Simultaneous equationLet
Weight of tables = xWeight of chairs = yCost of 3 tables and 5 chairs is 62.5lbsCost of 3 tables and 2 chairs is 52lbs3x + 5y = 62.5
3x + 2y = 52
Subtract the equation to eliminate x5y - 2y = 62.5 - 52
3y = 10.5
y = 10.5/3
y = 3.5 lbs
Substitute y = 3.5 into
3x + 2y = 52
3x + 2(3.5) = 52
3x + 7 = 52
3x = 52 - 7
3x = 45
x = 45/3
x = 15 lbs
Therefore, the weight of each small tables and chairs in the United States is 15lbs and 3.5lbs respectively.
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Find 20% of 150
A. 20
B. 130
C. 120
D. 30
For this, multiply 150 × .20 = 30
Therefore, 20% of 150 is 30.
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On May 1 Geraldo Saldana opened a savings account that paid 3.5 percent
interest at Fulton Savings Bank with a deposit of $3,600. Ten days later he
deposited $3,000. Fourteen days later he deposited $5,000. No other deposits
or withdrawals were made. Six days later the bank calculated the daily interest.
Based on the amounts that Geraldo Saldana deposited in the month of May, the total simple interest comes to $18.98.
what amount of simple interest does Geraldo Saldana get?the simple interest earned can be found as:
= (3,600 x 3.5%/360 days x 30 days) + (3,000 x 3.5%/360 days x 20 days) x (5,000 x 3.5%/360 days x 6 days)
= 10.5 + 5.83 + 2.65
= $18.98
rest of the question is:
How much simple interest did his money earn?
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If a side of the field is 9/10 mile and 1/2 mile what is the length of the field
Answer:
The field is 1 and 4/10 mile long.
Step-by-step explanation:
If I understand the question:
(1/2) + (9/10) =
(5/10) + (9/10) = (14/10)
(14/10) is 1 and 4/10
The field is 1 and 4/10 mile long.
How long must a ladder be to reach the top of a 12-foot wall if the bottom of the ladder is placed 3 feet from the base of the wall
Answer: 13 feet
Step-by-step explanation:
Answer:
12.37 ft
Step-by-step explanation:
Hypotenuse(c): the ladder
Cathetus: the wall (a=12) and the floor (b=3)
Equation:
[tex]c^{2} =a^{2} +b^{2}[/tex]
[tex]c^{2} =(12)^{2}+ (3)^{2} =144+9[/tex]
[tex]c^{2} =153[/tex]
[tex]c=\sqrt{153}[/tex]
[tex]c=12.37[/tex]
The ladder is 12.37 feet long
Hope this helps
Solve the equation 2x^3-5x^2+x+2=0 given that 2 is a zero of f(x)= 2x^3-5x^2+x+2
The polynomial equation [tex]2x^{3} - 5 x^{2} + x + 2 = 0[/tex] given that 2 is zero of
f(x) = [tex]2x^{3} - 5 x^{2} + x +2[/tex]
According to the question,
f(x) [tex]=2x^{3} - 5 x^{2} + x + 2[/tex]
[tex]f(2)= 2(2)^{3} - 5 (2)^{2} + 2 + 2 \\= 2(8) - 5(4) +4\\= 16 - 20 + 4\\= -4 + 4\\= 0.[/tex]
Hence, the polynomial equation [tex]2x^{3} - 5 x^{2} + x + 2 = 0[/tex] given that 2 is zero of f(x) [tex]=2x^{3} - 5 x^{2} + x + 2[/tex].
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Find a linear differential operator that annihilates the given function. (Use D for the differential operator.) cos 2x
Let [tex]y=\cos(2x)[/tex], with first two derivatives
[tex]Dy = -2\sin(2x)[/tex]
[tex]D^2y = -4\cos(2x)[/tex]
Consider the linear ODE
[tex]aD^2y + bDy + cy = 0[/tex]
Substitute [tex]y[/tex] and its derivatives and solve for the unknown coefficients [tex]a,b,c[/tex].
[tex]-4a\cos(2x) - 2b\sin(2x) + c\cos(2x) = 0[/tex]
[tex]\implies \begin{cases}-4a+c=0 \\ -2b=0 \end{cases}[/tex]
[tex]\implies b=0 \text{ and } c= 4a[/tex]
Then the minimal ODE with this solution is
[tex]aD^2y + 4ay = 0 \implies \boxed{D^2y + 4y = 0}[/tex]
The two polygons are similar. Find the values of x and y.
Answer: [tex]x=11, y=9[/tex]
Step-by-step explanation:
Corresponding sides of similar figures are proportional, so:
[tex]\frac{x-2}{6}=\frac{15}{10}\\\\\frac{x-2}{6}=\frac{3}{2}\\\\x-2=9\\\\x=11[/tex]
[tex]\frac{y+3}{8}=\frac{15}{10}\\\\\frac{y+3}{8}=\frac{3}{2}\\\\y+3=12\\\\y=9[/tex]
For a population with an unknown distribution, the form of the sampling distribution of the sample mean is _____. Group of answer choices approximately normal for small sample sizes exactly normal for large sample sizes exactly normal for small sample sizes approximately normal for large sample sizes
For a population where the distribution is unknown, the sampling distribution of the sample mean will be b which is approximately normal for all sample sizes.
Given options regarding sample sizes.
We have to choose the correct option which shows the sample mean characteristics when the distribution is unknown.
Based on the central limit theorem the sampling distribution of the sample mean for either skewed variable ir normally distributed variable can be approximated given the mean and standard deviation.
The central limit theorem is said to be true when n greater than or equal to 30.
When n is greater than 30 ,z test is used, when n is less than 30 ,t test is used.
Hence for a population where the distribution is unknown ,the sampling distribution of the sample mean will be approximately normal for all sample sizes.
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Question is incomplete as it includes options in a right way:
1)exactly normal for large sample,
2) approximately normal for all sample sizes,
3) exactly normal for all sample sizes.
Which function has a minimum and is transformed to the right and down from the parent function, f(x) = x²?
O g(x)=-9(x + 1)²-7
Og(x) = 4(x-3)² +1
O g(x)=-3(x-4)²-6
Og(x)= 8(x-3)²-5
Answer:
Step-by-step explanation:
Discussion
A: incorrect. the minus turns the parabola upside down and you would get a maximum, not a minimum.
B: incorrect. The + 1 moves the parabola upwards not downwards.
C: incorrect. The - 3 turns the parabola upside down. You get a maximum, not a minimum.
D: correct. The parabola moves right (x - 3)^2 which anti intuitive, but it is correct. - 5 moves the parabola down. +8 the plus makes a minimum.
use the substitution method to solve the system of equaltions. choose the correct ordered pair. 2y+4x=18 and 2y-3x=4
The solution of the system of equation is x = 7 and y = 12.5.
How to solve equation by substitution?2y + 4x = 18
2y - 3x = 4
2y = 4 + 3x
y = 2 + 3 / 2 x
Hence, let's substitute the value of y in equation(1)
2( 2 + 3 / 2 x) + 4x = 18
4 + 3x + 4x = 18
4 + 7x = 18
7x = 14
x = 14 / 2
x = 7
2y - 3(7) = 4
2y - 21 = 4
2y = 25
y = 25 / 2
y = 12.5
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A swimming pool is 10 m wide and 25 m long. It is 1.2 m deep at one end and 2.2 m deep at the other end. The floor slopes uniformly from one end to the other.
a)Explain why the shape of the pool is a prism. 1.2 m
b)The pool is filled with water at a rate of 2 m³ per minute. How long will it take to fill the pool?
At a rate of 2 m³ per minute, it would take 212.5 minutes to fill this swimming pool.
The shape of the pool.Based on the information provided, we can logically deduce that the shape of this pool is a prism because it is deep (2.2 m) at one end and shallow (1.2 m) at the other end.
How to calculate the time?First of all, we would determine the volume of this swimming pool as follows:
Volume = 1/2 × (1.2 + 2.2) × 10 × 25
Volume = 1/2 × (3.4) × 250
Volume = 1.7 × 250
Volume = 425 m³.
For the time, we have:
Time = volume/rate
Time = 425/2
Time = 212.5 minutes.
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Translate the following into an algebraic expression:
22 decreased by y%
Answer:22-0.22y
Step-by-step explanation: we have to decrease 22 by y%
we need to calculate what is y% of 22. y% of 22 simply means y% into 22 that is y% x 22
= 0.01(y) x 22
= 0.22y
= 22 - 0.22y
A grocery store sells a bad of 4 oranges for $1.04. how much would it cost for 11 oranges?
If a grocery store sells a bag of 4 oranges for $1.04 then it will cost $2.86 for 11 oranges.
Given that a grocery store sells a bag of 4 oranges for $1.04 means revenue is $1.04 with no profits.
We have to find the cost of 11 oranges. We have assumed that there are no profits as we are require to find cost. But there is huge difference between cost and profits.
We know that average cost is total cost divided by number of items.
Cost of 4 oranges=$1.04
cost of 1 orange=1.04/4
=$0.26 per orange
Cost of 11 oranges=0.26*11
=$2,86.
Hence if a grocery store sells a bag of 4 oranges for $1.04 then it will cost $2.86 for 11 oranges.
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Three museums charge an entrance fee based on the number of visitors in the group. the table lists the fees charged by the museums. at which museum is the entrance fee proportional to the number of visitors?
a.
museum a
b.
museum b
c.
museum c
d.
museum a and museum b
The entrance fee is proportional to the number of visitors at A)museum a.
In arithmetic, two sequences of numbers, often experimental statistics, are proportional or at once proportional if their corresponding factors have a regular ratio, that's called the coefficient of proportionality or proportionality consistent.
The definition of proportional is something that has an incredibly correct dating of length or that is appropriate. An example of something proportional is a woman's tiny toes to her quick stature. An instance of something proportional is the quantity of pay a worker receives for the hours that they installed.
While something is proportional to something else, it does no longer suggest the values are equal, simply that they trade with admiration for each other. The regular of proportionality serves as a multiplier.
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Answer:
Museum C
Step-by-step explanation:
If you divide them all (like 3/4) you get .75
HELP HELP HELP HELP
HELP HELP HELP HELP
Step-by-step explanation:
find the slope:
[tex]\frac{y2-y1}{x2-x1}=\frac{-4+2}{1+3} =\frac{-2}{4} =-\frac{1}{2}[/tex]
Now our equation looks like:
[tex]y=-\frac{1}{2} x+b[/tex]
To solve for b, plug in one of the coordinates
[tex]-4=-\frac{1}{2} (1)+b[/tex]
[tex]-4=-\frac{1}{2} +b[/tex]
[tex]b=-3.5[/tex]
Put our equation together to get y = -1/2x-3.5
A 1500 pound car is stopped in traffic on a hill that is at an incline of 10°. determine the force that is required to keep the car from rolling down the hill.
Answer: about 260 Lb
Step-by-step explanation:
jordan bought a radio for $120.He paid for it with 2 coins and $5 bills.If there were half as many coins as bills, how many $2 coins were there and how many $5 bills were there
There are 20 $5 bills and 10 $2 coins.
How to find the number of $2 coins and $5 coins using equation?He bought a radio for $120. He paid for it with 2 coins and $5 bills.
let
the number of $5 bills = x
the number of $2 coins = y
Therefore,
y = 1 / 2 x
2y + 5x = 120
2(1 /2 x) + 5x = 120
x + 5x = 120
6x = 120
x = 120 / 6
x = 20
y = 1 / 2 × 20
y = 10
Therefore, there are 20 $5 bills and 10 $2 coins.
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Lines (1) and (2) are parallel. Find sides M
and N. Round your answer to the nearest
tenth.
P
A
M
(2)->
155⁰
N
Answer:
M = 4.5
N = 2.1
Step-by-step explanation:
angle p would be 25. 180 - 155 = 25
M = 5cos25 =4.5 rounded to the tenths place.
M = 5sin25 = 2.1 rounded.
Linda is filling the mold above with water and freezing it for an ice project. If a = 8 cm and b = 7 cm, what will be the volume of the frozen figure?
The volume of the frozen figure is 736 cm³
Volume of a prismFrom the question, we are to determine the volume of the frozen figure
In the given diagram,
The volume of the frozen figure = a³ + 1/2(a²b)
From the given information,
a = 8 cm
b = 7 cm
∴ Volume of the frozen figure = 8³ + 1/2(8² ×7)
Volume of the frozen figure = 512 + 1/2(448)
Volume of the frozen figure = 512 + 224
Volume of the frozen figure = 736 cm³
Hence, the volume of the frozen figure is 736 cm³
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30 times 4 times the ten power of three
Answer [tex]=7085760[/tex]
Step-by-step explanation:
Use order of operations and evaluate the exponent first
[tex]30*4*3^{10}[/tex]
[tex]30*4(59049)[/tex]
[tex]30*236192[/tex]
[tex]=7085760[/tex]
Answer: 1920
Step-by-step explanation:
4x4x4=64
64x30=1920
Suppose the risk-free rate is 3.2 percent and the market portfolio has an expected return of 9.9 percent. the market portfolio has a variance of .0282. portfolio z has a correlation coefficient with the market of .18 and a variance of .3185. according to the capital asset pricing model, what is the expected return on portfolio z?
Beta = Correlation x (Variance of Z)^0.5 / (Variance of Market)^0.5
Beta = 0.18 x (0.3185)^0.5 / (0.0282)^0.5
Beta = 0.604927
CAPM equation:
Expected return = Risk free rate + Beta x (Market return - Risk free rate)
Expected return = 3.2% + 0.604927 x (9.9% - 3.2%)
Expected return = 7.25% is the answer.
Portfolio return refers to the return or loss realized on an investment portfolio that includes multiple types of investments. The portfolio is intended to provide returns based on the defined objectives of the investment strategy and the risk tolerance of the type of investor covered by the portfolio.
The basic formula for expected return is to multiply the weight of each asset in the portfolio by the expected return and then add up all these numbers. In other words, the expected return of a portfolio is a weighted average of the returns of the individual components.
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A walking path across a park is represented by the equation y=-3x - 3. A
new path will be built perpendicular to this path. The paths will intersect at
the point (-3, 6). Identify the equation that represents the new path.
OA. y=-3x-6
O B. y=x+7
OC. y=3x+15
O D. y=-x+5
166
10
MAR
FREN
10-
10-
10
Answer:
y = (1/3)x + 7
Step-by-step explanation:
The general structure form of a line in slope-intercept form is:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept.
The slope of a perpendicular line is the opposite-signed, reciprocal of the original line's slope. Therefore, if the slope of the original line is m = -3, the new slope is m = 1/3.
The y-intercept can be found by plugging the new slope and the values from the point (-3, 6) into the slope-intercept form equation.
m = 1/3
x = -3
y = 6
y = mx + b <----- Slope-intercept form
6 = (-3)(1/3) + b <----- Insert values
6 = -1 + b <----- Multiply -3 and 1/3
7 = b <----- Add 1 to both sides
Now, that you have the slope and y-intercept, you can construct the equation of the perpendicular line.
y = (1/3)x + 7
Please help me
Marking brainliest for smart answer
Answer:
58%
Step-by-step explanation:
47/81 x 100%
≈ 58%
Hope it helps : )
For a right triangle with one leg = 3.24 cm and a hypotenuse = 7.16 cm, find the length of the missing leg
Answer:
[tex]a=\sqrt{40.768}[/tex]
Step-by-step explanation:
Given a leg and a hypotenuse we can find the third side by substituting the known values using Pythagorean theorem, let the unknown be a.
[tex]a^2+3.24^2=7.16^2[/tex]
Now all we must do is solve for a:
[tex]a^2+3.24^2=7.16^2\\a^2+10.4976=51.2656\\a^2=40.768\\a=\sqrt{40.768}[/tex]
What is the focus of a parabola with a standard form of y = 1/4x^2 - x - 1?
Include an explicit reasoning, just giving an answer won’t be helpful
Answer:
(2, -1).
Step-by-step explanation:
y = 1/4x^2 - x - 1
First convert to vertex form:
y = 1/4(x^2 - 4x) - 1
y = 1/4[(x - 2)^2 - 4] - 1
y = 1/4(x - 2)^2 - 2
The formula for the focus of the parabola y = a(x - h)^2 + k is (h, k+1/4a)
So here it is:
(2, -2+1/ 4*1/4)
= (2, -1).
The graph below represents the data from Part A. Use the data from Part A to correctly label the graph. Drag the labels to their appropriate locations on the graph.
The correct labels are matched to their appropriate locations on the graph as shown in the image attached below.
What is a graph?A graph refers to a type of chart that's used to graphically represent data on both the horizontal and vertical lines of a Cartesian coordinate, which are the x-axis and y-axis.
In this exercise, you're required to drag the correct labels to their appropriate locations on the graph as shown in the image attached below.
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Part A:
According to a life cycle analysis of the U.S. food system conducted by the University of Michigan, the U.S. consumes 13.9 quads of mostly fossil fuel energy to produce 1.75 quads of food energy annually. A quad is a unit of energy equal to 1 quadrillion (10¹⁵) British thermal units (BTUs). One quad is equal to the energy of 183 million barrels of petroleum.