Answer:
d. 40
Step-by-step explanation:
2x + x +( x + 20) have to all equal 180 degrees in a triangle.
2x + x + x + 20 = 180
2x + 2x + 20 = 180
4x + 20 = 180
4x = 180 - 20
x = (180-20) / 4
x = 160 / 4
x = 40
Answer:
D. 40Step-by-step explanation:
This is the answer that was right for me, I just did this question :) Hope this helps! :D
Shelley’s resolution is to bike 192 miles each week. If she rides with a average speed of 9.6 mph and plans to ride an equal amount of time each day, about how many hours a day should she plan to ride?
Answer:(192/9.6)÷7=20/7
Step-by-step explanation:
Point A and Point B are placed on a number line Point A is located at -20 and Point B is 5 less than Point A. Which statement about Point A is true?
A) It is located -25 and is to the right of Point A on the number line.
B) It is located at -15 and is to the right of Point A on the number line.
C) It is located at -25 and is to the left of Point A on the number line.
D) It is located at -15 and is to the left of Point A on the number line.
Answer:
A() it is located _25 and is the right of point A on the number line
Answer:
The Answer is C
Step-by-step explanation:
so if u draw out a number line, point A will be on the left side of the number line or in this case "0". So it is saying "point b is 5 less than point A" so since Point A is "-20" and it says "5 less than point A" so it would be adding up 5 more to -20 so it would be -25. But if it was 5 more than point A it would have been -15. If u take an example of money, like if u owe someone $20, it would be -$20 in your balance, and if he or she says u need to owe me 5 more $'s cuz there was damage now in your balance it would be -25.
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PLEASE HELP CANT MOVE ON TO THE NEXT QUESTION TILL ANSWERED!!
Answer:
Step-by-step explanation:
Answer:
M = 61
nm = 31
kn = 45
L = 119
Step-by-step explanation:
its a parallelogram so everything is obvious
A book costs euro 10.00 in germany. a canadian bookshop owner buys it in canadian dollars (1 cad = 0.65 euros) and sells it to a us customer for usd 35. if usd 1.00 = 0.85 euro, what is the percentage of profit for the shop owner?
The percentage profit for the shop owner is 197.6%.
What is percentage profit?Percentage profit is the ratio of the profit on a good or item and the the cost price expressed as a percentage.
Percentage profit = profit/cost price * 100%The cost price of the book in US dollars will be: 10 * 1/0.85 = 11.76 USD
Selling price in USD = 35 USD
Profit = 35 - 11.76
Profit = 23.24 USD
Percentage profit = 23.24/11.76 * 100%
Percentage profit = 197.6%
In conclusion, the percentage profit is the profit expressed as a percentage of the cost price.
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You are on a fishing trip with your friends. The diagram shows the location of the river, fishing hole, campsite, and bait store. The campsite is located 200 feet from the fishing hole. The bait store is located 110 feet from the fishing hole. How wide is the river?.
the width of the river is approximately 64.03 feet.
To determine the width of the river, we can use the concept of triangle similarity.
Let's assume that the river width is represented by the variable "x".
From the information given, we have a right triangle formed by the river, the fishing hole, and the campsite. The campsite is located 200 feet from the fishing hole, and the river width is the unknown side.
Using the Pythagorean theorem, we can set up the equation:
x^2 + 200^2 = (200 + 110)^2
Simplifying the equation:
x^2 + 40000 = 44100
x^2 = 44100 - 40000
x^2 = 4100
Taking the square root of both sides:
x = sqrt(4100)
x ≈ 64.03 feet
Therefore, the width of the river is approximately 64.03 feet.
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a photograph has been enlarged to three times its previous size. by what percentage has the size of the photograph increased?
The size of the photograph has increased by 200% after being enlarged to three times its previous size.
To find the percentage increase in size, we compare the new size of the photograph to its original size. If the photograph has been enlarged to three times its previous size, it means the new size is three times the original size.
Let's assume the original size of the photograph is x. After enlargement, the new size becomes 3x. To calculate the percentage increase, we need to find the difference between the new size and the original size, which is 3x - x = 2x.
The percentage increase is given by the formula: (increase/original size) * 100. In this case, the increase is 2x, and the original size is x. Plugging in these values, we get (2x/x) * 100 = 200%.
Therefore, the size of the photograph has increased by 200%. This means the new size is 200% larger than the original size, or the size has doubled.
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use the function f(x)= 2x^3 -5x 7 to find the following values: of x= -4
To find the value of the function f(x) = \(2x^3 - 5x + 7\) at x = -4, we substitute -4 into the function and simplify. The value of the function at
x = -4 is -101.
To calculate the value of the function \(f(x) = 2x^3 - 5x + 7\)at x = -4, we substitute -4 for x in the equation:
\(f(-4) = 2(-4)^3 - 5(-4) + 7\)
Simplifying the expression, we have:
f(-4) = 2(-64) + 20 + 7
f(-4) = -128 + 20 + 7
f(-4) = -101
Therefore, when x = -4, the value of the function \(f(x) = 2x^3 - 5x + 7\)is -101. This means that if we substitute -4 into the function, we get a result of -101.
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Use the net to find the surface area of the rectangular prism.
5 ft
15 ft
4 ft
A 200 ft²
C 340 ft²
B 310 ft²
D 390 ft²
The surface area of the rectangular prism is 310 square feet
How to determine the surface area of the rectangular prism?From the question, we have the following parameters that can be used in our computation:
5 ft
15 ft
4 ft
Rewrite the parameters properly
So, we have
Length = 5 ft
Width = 15 ft
Height = 4 ft
The surface area of the rectangular prism is then calculated as
Surface area = 2 * (Length x Width + Width x Height + Height x Length)
Substitute the known values in the above equation
So, we have the following equation
Surface area = 2 * (5 * 15 + 5 * 4 + 4 * 15)
Evaluate
Surface area = 310
Hence, the surface area is 310 square feet
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The following variable (X) represents the number of coupons used over a 6 month period by a sample of 11 shoppers:
74, 56, 64, 57, 64, 40, 55, 64, 59, 67, 50.
Use this data to compute:
The mean, the median, the mode, the range, the variance, the standard deviation, the sum of the values of (X), and the sum of the squared deviations of each value of (X) from the mean. In addition, please explain what information is provided to us about this variable by your answers to: (1) the sample mean and (2) the sample standard deviation.
really need answer to last part that is (1) and (2)
We can compute various descriptive statistics such as the mean, median, mode, range, variance, standard deviation, sum of values, and sum of squared deviations.
The sample mean, also known as the average, provides information about the central tendency of the variable X. It represents the typical or average number of coupons used by the shoppers in the sample. In this case, calculating the mean of the given data would provide an estimate of the average number of coupons used over the 6-month period.
The sample standard deviation measures the dispersion or variability of the data points around the mean. It indicates how much the individual observations deviate from the mean value. A higher standard deviation implies greater variability, indicating a wider range of coupon usage among the shoppers in the sample.
By computing the sample mean and standard deviation, we can understand the average coupon usage and the degree of variability in the data. These statistics help us summarize and interpret the characteristics of the variable X, allowing us to make comparisons, identify outliers, assess the spread of the data, and make inferences about the larger population from which the sample was drawn.
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What is the value for the lower quartile of the set?
Answer:
I believe its 4
Step-by-step explanation:
Mary evaluates goods 1 and 2 according to the following utility function: u(x1,x2 )=3x1 +x2
. For which of the following vectors of prices would Mary only buy good 1 ?
a. p1=3,p2 =2
b. p 1 =10,p2=3
c. p1=4,p2=1
d. p1=15,p2 =4
e. None of the above, since the price of good 1 is larger than the price of good 2
The price vectors a. p₁ = 3 and p₂ = 2, Mary will consume only good 1.
Here we have the Utility function as
U(x₁ , x₂) = 3x₁ + x₂
From the given utility function we can clearly see that these goods are substitutes for each other
Now,
δU/δx₁ = 3
δU/δx₂ = 1
Hence we get the Marginal Rate of Substitution or MRS
\(=- \frac{\delta U/ \delta x_1 }{\delta U/ \delta x_2}\)
= -3
The MRS signifies that for every additional unit of 1, Mary is willing to give up 3 units of good 2
|MRS| = 3
For Mary to only consume good 1, |MRS| > p₁/p₂
Hence here we get the p/p ratio for the 4 price vectors to be
a. 3/2 = 1.5
b. 10/3 = 3.33
c. 4
d. 15.4 = 3.75
Hence we can clearly say that for the price vectors p₁ = 3 and p₂ = 2, Mary will consume only good 1.
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Instructions:
• Write the algebraic expression for each problem:
1. Mike's dog had puppies. Mike has sold 3 of them. Let n be the number of puppies Mike has now.
Write an expression that tells the original number of puppies.
Answer:
Answer:
n = puppies born - 3
Step-by-step explanation:
Mike's dog had ? puppies, so you need to have the number of puppies born. Since he sold 3 of them, you need to subtract three from the number of puppies born. n is the number of puppies Mike has now, which equals the number of puppies born minus the number of puppies he gave away, which is 3.
Hope this helps!
Answer:
n=pupy born -3
Step-by-step explanation:
What is a rectangle class 6?
A rectangle is a four-sided polygon in which the opposite sides are parallel and equal to each other. It is one of the types of quadrilaterals in which all four angles are right angles or equal to 90 degrees. The rectangle is a special type of parallelogram with all its angles equal.
A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.
A rectangle is a 2D shape that has 4 sides, 4 corners, and 4 right angles.
Since, all the angles of a rectangle are equal, we also call it an equiangular quadrilateral. A quadrilateral is a 4-sided closed shape.
The line segments that join the opposite corners of a rectangle are called diagonals. In the given figure, the two diagonals of the rectangle are AC and BD. The diagonals of a rectangle are the same in length. Therefore, AC = BD.
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The sum of three consecutive even numbers is 186 .Find the numbers
The sum of three consecutive even numbers is 186. The three even numbers are 62, 64, and 66.
To arrive at this solution, use the formula (n + (n + 2) + (n + 4)) = 186, where n is the first even number. Solving for n gives us 62. Thus, the three consecutive even numbers are 62, 64, and 66.
To arrive at this answer algebraically, we can start by finding the average of the three numbers.
The average of three numbers is equal to the sum of those numbers divided by 3. Thus, the average is equal to 186 divided by 3, which equals 62.
Since the three numbers are consecutive, the second number is two more than the first, and the third number is two more than the second. Thus, the numbers are 62, 64, and 66.
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Solve for x.
2x + 9 = 33
x = 7.5
x = 12
x = 21
x = 84
What are the four conditions necessary for X to have a Binomial Distribution? Mark all that apply.
a. There are n set trials.
b. The trials must be independent.
c. Continue sampling until you get a success.
d. There can only be two outcomes, a success and a failure
e. You must have at least 10 successes and 10 failures
f. The population must be at least 10x larger than the sample. T
g. he probability of success, p, is constant from trial to trial
Options a, b, d, and g are the correct conditions for a Binomial Distribution.
The four conditions necessary for X to have a Binomial Distribution are:
a. There are n set trials: In a binomial distribution, the number of trials, denoted as "n," must be predetermined and fixed. Each trial is independent and represents a discrete event.
b. The trials must be independent: The outcomes of each trial must be independent of each other. This means that the outcome of one trial does not influence or affect the outcome of any other trial. The independence assumption ensures that the probability of success remains constant across all trials.
d. There can only be two outcomes, a success and a failure: In a binomial distribution, each trial can have only two possible outcomes. These outcomes are typically labeled as "success" and "failure," although they can represent any two mutually exclusive events. The probability of success is denoted as "p," and the probability of failure is denoted as "q," where q = 1 - p.
g. The probability of success, p, is constant from trial to trial: In a binomial distribution, the probability of success (p) remains constant throughout all trials. This means that the likelihood of the desired outcome occurring remains the same for each trial. The constant probability ensures consistency in the distribution.
The remaining options, c, e, and f, are not conditions necessary for a binomial distribution. Option c, "Continue sampling until you get a success," suggests a different type of distribution where the number of trials is not predetermined. Options e and f, "You must have at least 10 successes and 10 failures" and "The population must be at least 10x larger than the sample," are not specific conditions for a binomial distribution. The number of successes or failures and the size of the population relative to the sample size are not inherent requirements for a binomial distribution.
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Explain this paradox: a simple harmonic oscillator mẍ = -kx is a system that oscillates in one dimension (along the x-axis). But the text says one-dimensional systems can't oscillate.
This dilemma arises because oscillation requires two degrees of freedom while a equation one-dimensional system can never have more than one. An example of a constrained system is a basic harmonic oscillator.
This paradox results from the fact that oscillation needs two degrees of freedom whereas a one-dimensional system only has one. Position is the only variable in a one-dimensional system, hence oscillation is not feasible. But one example of a restricted system, where a constraint provides an additional degree of freedom, is a straightforward harmonic oscillator. The constraint in this scenario is a spring's force, which acts as a restoring force whenever the system deviates from its equilibrium state. The system can oscillate and move back and forth along the x-axis thanks to this restoring force. Thus, although having only one degree of freedom, the basic harmonic oscillator is an example of a one-dimensional system that can oscillate.
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Gary drew a rectangle with a perimeter of 16 inches. Then he tried to draw a square with a perimeter of 16 inches.
Select the dimensions of the rectangle drawing.
16 inches by 7 inches 1 inch by 7 inches
16 inches by 1 inch7 inches by 4 inches
Select the dimensions of the square drawing.
1 inch by 1 inch
4 inches by 4 inches
16 inches by 16 inches
7 inches by 7 inches
Answer: I think u have to multiply all da numbers.
Step-by-step explanation:
Answer:
ooofffffffff
Step-by-step explanation:
Here Tran posted it
Step-by-step explanation:
1. I estimate that the error in measuring the area of the lot is about 10% so we write the area as 400 sq ft +- 10%, which means that the lot can be as small as 360 sq ft or as large as 440 sq ft. We tack on 15% more on the number of pieces of sod to account of the plot's irregularities. Since each piece of sod is 2 sq ft, the number of pieces we must get is 440/2 = 220 pieces +- 15% or 253 pieces
2. The nominal value is jus the average weight which is 59.5 g. The tolerance is (3.5g/59.5g)×100% = 5.88% and the measurement range is from 56g to 63g.
Simplify the expression.
768x^8y^5
O A. 42³y32²
O B. 2xy² √2x
OC. 4x²y3y
O D. 4x²y3x²y
Answer:
4y^4√3x^2y
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
What is the slope of a segment whose endpoints are labeled (-2a, 0) and (0, -2b)?
Answer:
Step-by-step explanation:
use the slope formula Faith,
point P1 (-2a,0) in the form (x1,y1)
point P2(0,-2b) in the form (x2,y2)
slope = m
m = (y2-y1) / (x2-x1)
m = (-2b - 0 ) / (0-(-2a))
m = -2b / 2a
m = - b/a
they are trying to confuse you with the "a" and "b" variables in the problem, but just use the rules you know to solve what you can :)
The sum of the exterior and interior angles of a triangle is always 360°.
True or false.
QS and TV are parallel lines.What angles are alternate exterior angles?Options:a)
Question:
QS and TV are parallel lines.
What angles are alternate exterior angles?
Options:
a) b) c) d)
Solution:
Remember that the alternate exterior angles are the exterior angles found on either side of the secant. Then, in our case we have that the alternate exterior angles are:
QRP and SRP
solve for x. represent your answer on a number line. -2x + 4 < 8 or 3x + 4 < or equal to -5
To solve the inequalities -2x + 4 < 8 and 3x + 4 ≤ -5, we will solve them individually and then represent the solutions on a number line.
For the first inequality, -2x + 4 < 8, we will isolate x:
-2x + 4 - 4 < 8 - 4
-2x < 4
Dividing both sides by -2 (remembering to reverse the inequality when multiplying/dividing by a negative number):
x > -2
For the second inequality, 3x + 4 ≤ -5, we isolate x:
3x + 4 - 4 ≤ -5 - 4
3x ≤ -9
Dividing both sides by 3:
x ≤ -3
Now we represent the solutions on a number line. We mark -2 with an open circle (since x > -2), and -3 with a closed circle (since x can be equal to -3). Then we shade the region to the right of -2 and include -3 to represent the solutions.
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Mrs. Jay has 22 games to put in a closet. She puts 4 of the games on the top shelf. She puts the rest of the games on the other 3 shelves. Each of the 3 shelves has the same number of games on it.
Answer:
6 games on each of the three shelves
Step-by-step explanation:
The total of 22 books minus the 4 books on the top shelf leaves 18 remaining books. You take that 18 and divide by 3 since there are three more shelves. This will leave you with a total of 6 books on each of the other shelves
22 - 4 = 18
18 / 3 = 6
Which of the following is NOT true about the system of linear equations represented by the graph shown below?
Answer:
A
Step-by-step explanation:
The lines are not coincident, they do are not, essentially, touching at all points. coincident lines overlap each other, appearing like one line.
How do you divide fractions with a whole number for dummies?
Even though dividing a fraction by a whole number might be challenging, it is simple to achieve with a few steps. By placing the full number above 1, you must first divide it into a fraction. After that, multiply the fraction you are dividing by the inverted version of the fraction. Lastly, simplify the response as much as possible.
For instance, to multiply 3/4 by 2:
Put 2 over 1, making it 2/1, to make it a fraction.
To get 1/2, invert 2/1.
To get 3/8, multiply 3/4 by 1/2.
Divide the numerator and denominator by 3 to get 1/4, which is the simplest representation of the fraction 3/8.
Hence, 1/4 is equivalent to 3/4 when divided by 2.
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LMNP is rotated 90° clockwise around the origin.
What are the coordinates of P'?
Answer:it’s (0,-9)
Step-by-step explanation:
I’m taking the quiz and it’s right
Tthe library has 463 books dealing with science and 592 books of fiction. Of these, 37 are science fiction books. How many books are either science or fiction?
By Probability, the number of books that are either science or fiction is 1018.
What is Union and Intersection in Probability?A set that contains every element in at least one of the two sets is called the union of two sets.
A new set that includes every element from both sets is created when two sets intersect.
The formula including Union and Intersection is :
n(A ∪ B) = n(A) + n(B) – n(A ∩ B)
Let A= Science Books
B = Books of function
A ∪ B = Science Fiction Books
A ∩ B = Either science or fiction Books
n(A)= 463
n(B) = 592
n(A ∩ B) = 37
Therefore, n(A ∪ B) is calculated below:
n(A ∪ B) = 463 + 592 - 37
n(A ∪ B) = 1055 - 37
n(A ∪ B) = 1018
Therefore, the number of books that are either science or fiction is 1018.
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A salesman's commission is 6% of his total sales. His total sales last month were $24,000. How much was his commission last month?