Answer:
20%
Step-by-step explanation:
1.25 is a 10% decrease, with 12.50/10 being 1.25, and the decrease is 2.50, meaning double the 10% which is 20%
Answer:
Step-by-step explanation:
Sarah bought a new car for $24,900. Sarah is entitled to a 9% rebate. Approximately how much will the car cost after the rebate
Automatic Transmissions, Inc., has the following estimates for its new gear assembly project: price = $940 per unit; variable cost = $340 per unit; fixed costs = $3.4 million; quantity = 53,000 units. Suppose the company believes all of its estimates are accurate only to within ±15 percent. What values should the company use for the four variables given here when it performs its best-case scenario analysis? What about the worst-case scenario?
In the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units.
In the best-case scenario analysis for Automatic Transmissions, Inc.'s new gear assembly project, the company assumes the upper limit of the ±15 percent range for its estimates. For the price per unit, they take a 15 percent increase, resulting in a value of $1081. Similarly, the variable cost per unit is increased by 15 percent to $391. The fixed costs are also adjusted upwards by 15 percent, reaching $3.91 million. Finally, the quantity is decreased by 15 percent, leading to a value of 45,050 units.
On the other hand, in the worst-case scenario analysis, the company assumes the lower limit of the ±15 percent range for its estimates. The price per unit is decreased by 15 percent, resulting in $799. The variable cost per unit is decreased to $289. The fixed costs are adjusted downwards to $2.89 million. Lastly, the quantity is increased by 15 percent to 60,950 units.
Therefore, in the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units
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Gasoline prices for the first six months of 2004 are shown in the table below. Using a logarithmic model, what is the best
prediction for gas prices in the ninth month of 2004?
Answer:
A) $2.10
Step-by-step explanation:
I got it right on edge
Answer:
A $2.10
Step-by-step explanation:
edgw 2020
- What is the difference between PT & FT?
What are PT relation words?
What are FT relation words?
Answer:
Your physical therapist not only provides therapy but also wants to help educate you so you can take an active role in your rehabilitation. Understanding the basics of PT-related abbreviations can help you gain a fuller understanding of your rehab. As always, if you have any questions about your therapy, speak with your PT…
Step-by-step explanation:
Rewrite the equation by completing the square.
2 x^2 -11 x +14 = 0
Answer:
x^2 - (11/2)x + 121/16 = -7
Step-by-step explanation:
Use each number between 1 & 9 once to complete the equations in this square
Answer:
да уж,жоска,удачи тебе,я ваще ща англ не шарю мне чота пофик,кст в 3 у меня будет доп англ а я еще нихя не делала дз
Find the equation of the line, given the following information: passes through (1,4) and is parallel to y=2x+6?
The slope of the parallel line will be the same as the original line but the y-intercept will be different.
y = 2x + b
Since we don't know the new y-intercept, we can solve for it using the point we are given.
4 = 2(1) + b
4 = 2 + b
2 = b
The y-intercept of the parallel line is 2.
Therefore, the answer is y = 2x + 2
Best of Luck!
Answer:
y = 2x + 2Step-by-step explanation:
y = 2x + 6
the slope-intercept equation of a line: y = mx + b
where m = slope
b = y-intercept
let's put the point (1,4) in it as it lies on line
y = mx + b
4 = 2(1) + b
b = 4 - 2
b = 2
therefore, the equation would be: y = 2x + 2
a doctor visits her patients during morning rounds. in how many ways can the doctor visit 4 patients during the morning rounds?
The no. of ways in which the doctor visits her patients during morning rounds = 5!
That means we can only find the number of ways if we n+1 factorial the number of rounds. In this case, the factorial is 1x2x3x4x5= 120
The product of all positive integers less than or equal to n in mathematics is known as the factorial of a non-negative integer, indicated by the symbol n! Additionally, the factorial of n is equal to the sum of n and the subsequent smaller factorial: For instance, According to the convention for an empty product, the value of 0! is 1.
In addition to highlighting the connections between variables, it also enables the isolation and individual analysis of the impacts of changing a single variable. The primary drawback is how challenging it is to explore with more than two parameters or several levels.
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1. How will you translate "the quotient of a
number and two diminished by 5" into
mathematical phrase?
A. 2x + 5
B. 2x-5
C. * + 5
D.-5
2
Answer:
x/2 - 5
Step-by-step explanation:
Let
x = the unknown number
Quotient of an unknown number and 2 = x/2
Quotient of an unknown number and 2 diminished by 5 = x/2 - 5
x/2 - 5
= (x - 10)/2
Find the total area of the solid figure.
3"
3"
3"
6"
(54+\frac(9\sqrt{3}}{2}\)
(46+\frac(9\sqrt{2}]}{2}\)
64+\frac(9\sqrt(3]](21)
(72+\frac{2\sqrt{3}}9}\)
The total area of the solid figure is 90 square inches + 27sqrt(3) / 4 square inches.
To find the total area of the solid figure, we need to determine the areas of each face and then add them together.
The solid figure consists of a rectangular prism with dimensions 3" x 3" x 6" and a pyramid on top with an equilateral triangle base.
First, let's find the area of the rectangular prism. The rectangular prism has two identical square faces with side length 3" and four rectangular faces with dimensions 3" x 6". The total area of the rectangular prism can be calculated as:
Area of the square faces: 2 * (3" * 3") = 2 * 9 square inches
Area of the rectangular faces: 4 * (3" * 6") = 4 * 18 square inches
Total area of the rectangular prism: 2 * 9 + 4 * 18 = 18 + 72 = 90 square inches.
Next, let's find the area of the triangular pyramid. The base of the pyramid is an equilateral triangle with side length 3". The height of the pyramid is 3". The formula to find the area of an equilateral triangle is (sqrt(3) / 4) * (side length)^2. Plugging in the values, we have:
Area of the triangular pyramid: (sqrt(3) / 4) * (3" * 3") * 3" = (sqrt(3) / 4) * 9 * 3 = (sqrt(3) / 4) * 27 = 27sqrt(3) / 4 square inches.
Now, we can find the total area of the solid figure by adding the area of the rectangular prism and the area of the triangular pyramid:
Total area = Area of rectangular prism + Area of triangular pyramid
Total area = 90 square inches + 27sqrt(3) / 4 square inches.
Thus, the total area of the solid figure is 90 square inches + 27sqrt(3) / 4 square inches.
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Sophie is training for the triathlon. She swims 40 meters in 50 secs, moving at a constant speed. Sophie wants to know her rate in meters per second
Answer:
I think the answer should be .8 meters per seconds
Sorry if im incorrect. I hope this helps Stay SAFEEE!!!
If two samples are selected from the same population, under what circumstances will the two samples have exactly the same t statistic?
If two samples are selected from the same population, the two samples have exactly the same t statistics if the samples are same size and have the same variance and mean
The t-statistic is the ratio of the departure of the estimated value of a parameter from its hypothesized value to its standard error.
Variance is the expectation of the squared deviation of a random variable from its population mean or sample mean.
Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers
Hence, If two samples are selected from the same population, the two samples have exactly the same t statistics if the samples are same size and have the same variance and mean
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Calculate the ratio to the nearest hundredth (Please do them all for me)
PLEASE!
Answer:
3.14
Step-by-step explanation:
all of them problem is 3.14
The solution of the every given ratio is 3.14.
What is pi?The number π is a mathematical constant that is the ratio of a circle's circumference to its diameter, approximately equal to 3.14159.
Given that, are the circle's circumferences and their diameters,
we need to find the ratio of both,
Since, we see that, the pi is the ratio of a circle's circumference to its diameter, approximately equal to 3.14159.
So, when we will solve the ratios given we will get pi,
Because the ratios are of circumferences and diameters,
So, the value of each ratio is 3.14
Hence, the solution of the every given ratio is 3.14.
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A box is filled with black (B), white (W), red (R), green (G), and prink (P) phone cases. A phone case is selected at random. what is the sample space for this experiment? A) S={B,W,R,G,P} B) S={B,W,R} C) S={G,P} D) S={B,R,G,P}
/_A and /_B are complementary angles.
Given that m /_A = 23 degrees, find m /_B
Answer:
67
Step-by-step explanation:
When two angles are complimentary, it means that, together, they make a 90 degree angle.
/_A + /_B must equal 90°
A cat adoption facility takes in an average of 5 cats per day. The facility has to keep their cat occupancy below 300. Currently, the facility has 255 cats. If none of their cats get adopted, how many more days, x, can the facility continue to take in cats?
Answer:
They can take in cats for 9 more days before they reach capacity.
Step-by-step explanation:
The easiest way to do this lol:
Subtract 255 from 300 to get 45. Since 45 is divisible by 5 which is the average amount of cats they can take per day, count by 5 with your fingers until you reach the number five. How many fingers are you holding up? Nine. Tadaaa.
solve. -7 2/3+(-5 1/2)+8 3/4
Answer:
I'm pretty sure it's 21 11/12. Don't get mad if I'm wrong
Step-by-step explanation:
-7 2/3 - 5 1/2 + 8 3/4
= -7 8/12 - 5 6/12 + 8 9/12
12 14/12 + 8 9/12
20 23/12
= 21 11/12
a newsletter publisher believes that below 58% of their readers own a rolls royce. is there sufficient evidence at the 0.01 level to substantiate the publisher's claim? state the null and alternative hypotheses for the above scenario.
If the p-value is greater than 0.01, then there is insufficient evidence to reject the null hypothesis and the publisher's claim cannot be substantiated.
The null hypothesis for this scenario would be that the proportion of newsletter readers who own a Rolls Royce is equal to or greater than 58%. The alternative hypothesis would be that the proportion of newsletter readers who own a Rolls Royce is less than 58%. To determine whether there is sufficient evidence to substantiate the publisher's claim, a hypothesis test would need to be conducted using a significance level of 0.01. The test would involve collecting a random sample of newsletter readers and calculating the proportion who own a Rolls Royce. If the p-value (probability value) associated with the test is less than 0.01, then there is sufficient evidence to reject the null hypothesis and conclude that the proportion of newsletter readers who own a Rolls Royce is indeed less than 58%.
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consider f(x) = rootx^2 -1 and g(x) root x^2 + 1. what values of x would make (f(g(x)) and g(f(x)) commutative?
Therefore , the solution of the given problem of function comes out to be for all values of x, (f(g(x)) and (g(f(x))) are commutative.
Explain function.Each topic, including arithmetic variable design, and both real and hypothetical locations, will be covered in the midterm exam's questions. a chart outlining the connections between various components that work together to produce the same outcome. A service is made up of many unique parts that work together to produce unique outcomes for each input.
Here,
To be commutative, the following conditions must hold true:
For all x-values,
=> f(g(x)) = g(f(x)).
We can begin by independently evaluating f(g(x)) and g(f(x)):
=> f(g(x)) = f(√(x² + 1)) = √((√(x² + 1))² - 1) = √(x² + 1 - 1) = √(x²) = |x|
=> g(f(x)) = g(√(x² - 1)) = √((√(x² - 1))² + 1) = √(x²- 1 + 1) = √(x²) = |x|
Consequently, in order for (f(g(x)) and (g(f(x))) to be commutative, the following must be true:
For all x numbers, |x| = |x|.
Regardless of whether x is positive, negative, or zero, this holds true for all numbers of x.
As a result, for all values of x, (f(g(x)) and (g(f(x))) are commutative.
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At summer camp the ratio of boys to girls was 2:7. If there were 28 boys, how many girls are there?
Answer:
98 girls
Step-by-step explanation:
Every 2 boys there are 7 girls. So, there are 28 boys we need to find how many more times boys there are so, 28/2=14 and then we would multiply 14*7=98. So, 98 girls.
Mike sold 5,640 chickens and 5,732 ducks from his farm. He
made $79,696. If he sold 5,640 chickens and 5,640 ducks, he
would get $78,960. How much money did he make from
selling the 5,732 ducks?
$
The number of money farmers made by selling 5732 ducks will be $45856.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that Mike sold 5,640 chickens and 5,732 ducks from his farm. He made $79,696. If he sold 5,640 chickens and 5,640 ducks, he would get $78,960.
Form two equations to get the amount:-
5640c + 5732d = 79696
5640c + 5640d = 78960
Solve both the equations by elimination method:-
5640c -5640c + 5732d - 5640d = 79696 - 78960
92d = 736
d = 736 / 92
d = $8
Total amount = $8 x 5732 = $45856
Therefore, the money farmers made by selling 5732 ducks will be $45856.
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Okay pls help and as always don't answer if you don't know and if you want points then tell me in the COMMENTS and I'll be happy to make a thing just for u!!!♥️ Thanks luv u!!
It would be nice if you did all of them thanks:(
Answer:
The answer would be 3 m.
Step-by-step explanation:
Answer:
1. A, 3 m
2. B, 60 cm^2
3. C, 31.8 ft
4. D, A = 34.96 cm^2 ,P = 26.6 cm
5. C, 9 f
Sorry if anythings wrong it's been awhile since I did this.
A spinner with 6 equally sized sliced has 2 blue slices 1 yellow slice and e red slices the dial is and stops on a slice at random what is the probability that the dial stops on a blue or yellow slice
Answer:
1/2 or 50%
Step-by-step explanation:
There are 2 blue slices and 1 yellow slice. Then there are 3 red slices. Since 3 is half of 6, and the blue and yellow slices make 3, The answer will become 1/2 0r 50%.
A bridge being designed will cross the river at a right angle. The equation of the left bank of the river is j = 2x+8. The center of the bridge will pass through (0,2). What is the equation of the line representing the bridge?
This is the same as y = -0.5x+2
==========================================================
Explanation:
Refer to the diagram below.
The blue line is the graph of y = 2x+8, which is the left bank of the river.
For now, ignore the y = (-1/2)x+2 in the diagram and pretend we don't know that just yet. The red line is the bridge and it's some linear equation in the form y = mx+b. We're told the bridge is perpendicular to the river, so the bridge must also be perpendicular to the riverbank.
The blue line has slope m = 2. Apply the negative reciprocal to this to end up with -1/2. This is the perpendicular slope, and the slope of the red line. Note how the two slopes (2 and -1/2) multiply to -1. Any two perpendicular lines will have their slopes multiply to -1, as long as neither line is vertical or horizontal.
Since we want the bridge to pass through (0,2), this must mean the y intercept is b = 2.
So with m = -1/2 and b = 2, we go from y = mx+b to y = (-1/2)x + 2 which is the equation of the bridge shown in red.
This is the same as y = -0.5x + 2 since -1/2 = -0.5
Find the value of X in this equation.
g=c+x
I'm not the best at multi-step questions
4r - 2=r+1 + 3
Step-by-step explanation:
4r-2=r+1+3
4r-r= 4+2
3r=6
r=6/3
r=2
Find the position vector of a particle that has the given acceleration and the specified initial velocity and position.
a(t) = 7t i + et j + e−t k, v(0) = k, r(0) = j + k
The position vector of a particle that has the given acceleration and the specified initial velocity and position is r(t) = (7/6)t^3 i + e^t j + e^(-t) k + kt + j.
To find the position vector of a particle with the given acceleration, initial velocity, and position, we need to integrate the acceleration function twice and apply the initial conditions.
Follow the steps below to solve the question:
1. Integrate the acceleration function to find the velocity function:
Given a(t) = 7t i + et j + e^(-t) k,
Integrate a(t) with respect to t to get v(t):
v(t) = (7/2)t^2 i + e^t j - e^(-t) k + C1
2. Apply the initial velocity condition, v(0) = k:
v(0) = (7/2)(0)^2 i + e^(0) j - e^(0) k + C1
Since v(0) = k, we have:
C1 = k
So, v(t) = (7/2)t^2 i + e^t j - e^(-t) k + k
3. Integrate the velocity function to find the position function:
Integrate v(t) with respect to t to get r(t):
r(t) = (7/6)t^3 i + e^t j + e^(-t) k + kt + C2
4. Apply the initial position condition, r(0) = j + k:
r(0) = (7/6)(0)^3 i + e^(0) j + e^(0) k + (0) + C2
Since r(0) = j + k, we have:
C2 = j
So, r(t) = (7/6)t^3 i + e^t j + e^(-t) k + kt + j
The position vector of the particle is r(t) = (7/6)t^3 i + e^t j + e^(-t) k + kt + j.
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a) The post office sells an unlimited number of 2-cent stamps and 5-cent stamps. Prove that for any integer n ≥ 4, we can buy exactly n cents worth of stamps. (This is a "cans of juice" problem.)
b) In this question, we fix a real number r with the following
properties:
(i) r ≥1;
(ii) r is a solution to the equation r2 = r + 1. Recall that the Fibonacci numbers {fn}n∈Nare defined by:
f0 = 0, f1 = 1 and fn= fn−1 + fn−2 for n ≥2.
Prove that for all n ≥1, we have fn≥rn−2.
(Hints: In your solution, r should appear several times and you should use the assumption that r has properties (i) and (ii). It is not necessary to find the value of r, but if you’re stuck you might want to do so in order to compute some examples.)
All the possible n cents tickets greater than 4 is given as n >= 4
What is a Real Number?A real number is a numeric quantity which occupies a designated point on the real number line. Featuring not only rational digits, but also irrational figures such as pi and the square root of 2, these elements can be assigned either a positive, negative, or zero value; in addition, they may be expressed using decimal fractions, percentages, or scientific notation.
Essential to many scientific routines and engineering applications, real numbers are frequently employed across various mathematical operations.
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100 Points
what percentage of 205 is 54? can you also show your work
Answer:
the exact percentage is 26.34146. but i'd write it down as 26.34 or just 26
Step-by-step explanation:
we convert 54/205 into a percentage
Answer:
x = 26.34%
Step-by-step explanation:
Let the percentage be x:
205 * x% = 54
x% = 54 ÷ 205
x% = \(\frac{54}{205}\)
\(\frac{x}{100}\) = \(\frac{54}{205}\)
x = \(\frac{54*100}{205}\)
x = \(\frac{5400}{205}\)
x = 26.34146341%
x = 26.34%
11. Given the points below, find XY. Round to the nearest hundredth. X(-9, 2) and Y(5, -4)
The value of length XY is, 15.23
What is Line segment?Line segment is the part of line which have two endpoint and bounded by two distinct end points and it contain every point on the line which is between its endpoint.
Given that;
The value of points are,
⇒ X(-9, 2) and Y(5, -4)
Now, The value of length XY is,
⇒ XY = √(5 - (- 9))² + (- 4 - 2)²
⇒ XY = √14² + (-6)²
⇒ XY = √ 196 + 36
⇒ XY = √232
⇒ XY = 15.23
Thus, The value of length XY is, 15.23
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Which transformation on triangle XYZ results in a triangle that is similar, but not congruent, to triangle XYZ?
A. a translation 3 units to the right
B. a reflection across the line y = - 2x + 3
C. a rotation 90° clockwise around the origin
D. a dilation centered at the origin with a scale factor of
Answer: Choice D
Step-by-step explanation: A dilation would result in a similar triangle because multiplying by the scale factor will create proportional sides. However, this will change the size of the triangle, making it not congruent.
Answer:
D.
Step-by-step explanation:
Congruent means that the triangles are exactly the same in shape and size.
Dilating the triangle is the only answer that will change its size.