Answer:
Step-by-step explanation:
500 / 4 = 20 quarters we have
for the newspaper we will put only 3 quarters to machine
3 * 25 = 75 cents
75 - 60 = 15 cents lose
still we have 17 quarters
Write the equation of a line that has a y-intercept of -4 and is perpendicular to the line y=-5x+7
Answer:
y=1/5 x -4
Step-by-step explanation:
Basically, we first start with perpendicular. Note that 2 lines' that are perpendicular have product = -1. Thus, the slope of the line (in question) is 1/5.
Now, we know y = mx + b by slope intercept. Note that y intercept means (0,-4). Thus, plugging in give the answer.
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(co 6) a university wants to plan how many classes to run next semester. to do this, it needs to estimate on average how many students register each semester. which statistical method would be best to use in this situation? g
The statistical method that would be best to use in this situation is b) Regression analysis.
Regression analysis is a statistical technique used to examine the relationship between a dependent variable (in this case, the number of students registering each semester) and one or more independent variables (such as time, semester, or any other relevant factors). By analyzing past data on the number of students registering each semester, regression analysis can help identify trends, patterns, and the average number of students registering.
Using regression analysis, the university can estimate the average number of students registering each semester based on historical data and use this information to plan how many classes to run in the upcoming semester. It allows for a quantitative analysis and prediction based on the relationship between variables, making it a suitable choice for estimating the average number of students in this scenario.
Hence the answer is Regression analysis.
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What is the product?
(-35 +21)(45-1)
Answer:
-616
Step-by-step explanation:
First subtract 35 with 21 since 35 is a negative. then subtract 45 with 1
for the first parenthesis would be -14. the second parenthesis would be 44.
then multiply both of the answers together to get -616
Answer:-220
Step-by-step explanation:
what are two angles that lie in the same plane and have a common vertex and a common side but have no common interior points.
As per the concept of triangle, Adjacent angles are the one which has two angles that lie in the same plane and have a common vertex and a common side but have no common interior points.
In math, Angles are formed when two lines intersect.
Here they are measured as a rotation from one side to the other.
And for the convention, the measurement of angles in a plane is considered positive when the rotation is counter-clockwise and is negative when the rotation is clockwise.
Here we need to find the two angles that lie in the same plane and have a common vertex and a common side but have no common interior points.
While we looking into the given question, we know that two angles sharing a common vertex and a side but no common interior points are called adjacent angles.
Therefore, Adjacent angles can be formed when dividing a bigger angle into several smaller parts, thus introducing common rays between the angles.
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Determine the solution to the system of equations graphed below and explain your reasoning in complete sentences.
The solution of the system of equations from the graph is x = 2.
What is point of intersection?The point of intersection formula is used to determine where two lines meet, or the point at which they intersect. In Euclidean geometry, the intersection of two lines can be either an empty set, a point, or a line. Two lines must meet certain requirements in order to intersect, including being in the same plane and not being skew lines. The intersection of these lines may be determined using the intersection formula.
The solution of the system of equations can be determined from the graph by determining the point of intersection between the two lines.
From the graph we observe that the point of intersection of the two lines is at (0, 2).
Hence, the solution of the system of equations is x = 2.
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HELP PLEASE(7th grade)
!! for 2 and 3 these values are rounded
1) 693.5/18,250 = .038 x 100% = 3.8% commission
2) ~118.5% --- divide tip/meal then x 100%
3) ~21.33% divide sale price/over org., then subtract by 100%
A singular value decomposition of A is as follows: A = UΣV^Τ = 0.5 -0.5 0.5 -0.5 [5 0] 0.5 0.5 -0.5 -0.5 [0 5] [0.8 0.6]
0 5 -0.5 -0.5 0.5 [0 0] [0.6 -0.8]
0.5 0.5 0.5 0.5 [0 0] Find the least-squares solution of the linear system AX = b, where b = [ 3 ]
[ 3 ]
[-1 ]
[-4 ]
x1 = ____
x2 = ____
The least-squares solution of the linear system AX = b, x1 = -1.2 and x2 = 0.8.
To solve for the least-squares solution of the linear system AX = b, we need to use the formula X = VΣ^(-1)U^Tb.
First, we need to calculate the inverse of Σ by taking the reciprocal of the non-zero diagonal elements and setting the zero diagonal elements to zero. So,
Σ^(-1) = [1/5 0]
[0 1/5]
Next, we calculate U^Tb by multiplying U^T and b:
U^Tb = [-3]
[ 1]
[-4]
[ 3]
Now, we can calculate X:
X = VΣ^(-1)U^Tb
= [ 0.8 0.6][1/5 0][-3]
[-0.6 0.8][0 1/5][ 1]
[0 0 ][-4]
[0 0 ][ 3]
= [-1.2]
[ 0.8]
[ 1.6]
[ 0.6]
Therefore, the least-squares solution are x1 = -1.2 and x2 = 0.8.
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Help please.... what is the solution of sqrt -4x=100? A- x=-2500 B-x=-50 C-x=-2.5 D-no solutions
Answer:
A. x = -2,500.
Step-by-step explanation:
sqrt(-4x) = 100
(sqrt(-4x)^2 = (100)^2
-4x = 10,000
4x = -10,000
x = -2,500
Check your work...
sqrt(-4(-2,500))
= sqrt(4 * 2,500)
= sqrt(10,000)
= plus or minus 100
A. x = -2,500 is your answer.
Hope this helps!
Answer:
The answer would be A, x=-2500
Explanation:
To remove the radical on the left side of the equation, square both sides of the equation.
√ − 4 x^ 2 = 100^ 2
Simplify each side of the equation.
− 4 x = 10000
Divide each term by
−4
and simplify.
x = -2500
Write an expression to model the
following phrase: “an hourly wage of
$13.50 plus a $75 bonus."
Answer: $13.50x + $75 =
Which expressions are equivalent to this expression? y + y + y + 3z
The expressions that are equivalent to the expression y + y + y + 3z are 3y + 3z and 3(y + z)
How to determine the expressions that are equivalent?From the question, we have the following parameters that can be used in our computation:
y + y + y + 3z
To start with, expressions that are equivalent are expressions that have equal values when evaluated
Using the above as a guide, we have the following:
Evaluate the like terms in y + y + y + 3z
So, we have the following representation
y + y + y + 3z = 3y + 3z
Factor out 3 from the expression
So, we have the following representation
y + y + y + 3z = 3(y + z)
Hence, the equivalent expressions of y + y + y + 3z are 3y + 3z and 3(y + z)
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A node or event with duration of 0 days is a(n) ______________.
a. error
b. milestone
c. short term activity (less than 1 day)
d. zero sum game
A node or event with a duration of 0 days is a b. milestone
A milestone refers to an important event in a project that has a duration of zero days. It signifies the completion of a significant phase or task within the project. Milestones are numbers placed on roads, such as roads, railroads, canals, or borders. They can show distances to cities, towns, and other places or regions; or they can set their work on track with respect to a reference point.
They are found on the road, often by the roadside or in a warehouse area. They are also called mile markers (sometimes abbreviated MM), milestones, or mileposts (sometimes abbreviated MP). "mile point" is the term used for the medical field where distance is usually measured in kilometers rather than miles. "Distance marking" is a general term that has nothing to do with units.
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Select the correct answer.
What is the general form of the equation for the given circle centered at O(0, 0)?
A.
x2 + y2 + 41 = 0
B.
x2 + y2 − 41 = 0
C.
x2 + y2 + x + y − 41 = 0
D.
x2 + y2 + x − y − 41 = 0
The general form of the equation for the given circle centered at O(0, 0) is x² +y² - 41=0.
The correct option is (B).
What is equation of circle?The general equation for a circle is ( x - h )² + ( y - k )² = r², where ( h, k ) is the center and r is the radius.
as, general equation for a circle is ( x - h )² + ( y - k )² = r²
Here, centered at O(0, 0).
So,
a =0 and b = 0
now, r² = (BO)²
r² = (4-0)² +(5-0)²
r² = 16+25
r² = 41
Hence, Center at the origin passing through B(4, 5) is x² +y² = 41.
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calculate the surface area of the triangular prism below. Give your answer in mm.
Surface area of the triangular prism which is a compound shape has an area of: 878mm².
What are compound shapes?The combined area of one or more circles and simple polygons is known as the area of the composite forms. The areas of every basic shape can be added together to determine the area of the composite shapes. Simply calculate each shape's area separately, then put them together to get the area of composite shapes.
Now in the question, we have 2 triangles with base, b =31mm and height, h = 14mm
Now area of both the triangles = 2 × 1/2 × b × h
= 2×1/2×14×31
=434mm²
Now we have three different rectangles.
In the first rectangle, length, l = 27mm and breadth, b = 6mm
Area of the rectangle as we know = l × b
= 27 × 6
= 162mm²
In the second rectangle, l = 16mm and b = 6mm
Area = 16 × 6
= 96mm²
In the final rectangle, l = 31mm and b = 6mm
Area = 31 × 6
= 186mm²
Therefore, the total surface area = 162 + 434 + 96 + 186 = 878mm².
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The band Leeward charges different prices for its concert tickets based on a concert-goer's age. The total cost, in dollars, of tickets for a adults and c children is 12a+6c. Edgar bought tickets for 4 adults and 6 children.
How much did Edgar pay for tickets?
Answer:
I believe Edgar payed $84 for the tickets.
Step-by-step explanation:
12(4)=48
6(6)=36
48+36=84
What is the numbers of π
Answer:
3.141592653589793238462643383279502884197169399375105820974944592307816406286
Step-by-step explanation:
Your trip is 2,425 miles. your 747 aircraft averages an airspeed of 570 miles per hour and burns 3000 gallons per hour. you expect a tailwind of 32 miles per hour. calculate the required fuel for a night time trip.
The required fuel for the nighttime trip is approximately 5,610 gallons.
How much fuel is needed for the nighttime trip?To calculate the required fuel for the nighttime trip, we need to consider the distance of the trip, the aircraft's airspeed, the fuel consumption rate, and the effect of the tailwind.
Given that the trip is 2,425 miles and the aircraft's airspeed is 570 miles per hour, we can determine the total flight time by dividing the distance by the airspeed. In this case, the flight time is approximately 4.25 hours.
Next, we need to account for the fuel consumption rate. The aircraft burns 3,000 gallons of fuel per hour. Multiplying the flight time by the fuel consumption rate gives us the total fuel consumed during the trip, which is approximately 12,750 gallons.
Now, let's factor in the effect of the tailwind. The tailwind of 32 miles per hour will increase the groundspeed of the aircraft. To calculate the groundspeed, we subtract the tailwind speed from the airspeed. In this case, the groundspeed is 570 - 32 = 538 miles per hour.
To determine the fuel consumption adjusted for the groundspeed, we divide the distance of the trip by the groundspeed. This gives us the adjusted flight time of approximately 4.51 hours. Multiplying the adjusted flight time by the fuel consumption rate gives us the fuel consumption adjusted for the tailwind, which is approximately 13,530 gallons.
Therefore, the required fuel for the nighttime trip is approximately 5,610 gallons (13,530 - 12,750).
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Find the value of x. Round your answer to the nearest tenth. (One number after the decimal.)
19
21
Answer:
x = ~8.9
Step-by-step explanation:
a^2 + b^2 = c^2
c is the long side
a and b are the other two shorter sides
this means
x^2 + 19^2 = 21^2
x^2 + 361 = 441
x^2 = 441- 361
x^2 = 441- 361
x^2 = 80
square root of 80 = ~8.9
x = ~8.9
Answer:
8.9
Step-by-step explanation:
\(4\sqrt{5}\)=8.9444
rounded = 8.9
How many possible passwords can be made for a website that requires passwords to consist of 3 digits followed by 2 letters? (Note that each digit or letter is allowed to be repeated.
(I would appreciate a Brainliest rating if this helped you)
(I would appreciate a Brainliest rating if this helped you)Answer:
456,976,000 possible passwords
Step-by-step explanation:
To calculate the number of possible passwords, we need to figure out how many options we have for each character slot in the password.
For the first three slots, we need to choose a digit from 0 to 9. This means we have 10 options for each slot, since there are 10 digits to choose from. Since there are three slots for digits, the number of possible combinations for the first three characters is 10 x 10 x 10 = 1000.
For the next four slots, we need to choose a letter from A to Z. There are 26 letters in the alphabet, so we have 26 options for each slot. Since there are four slots for letters, the number of possible combinations for the last four characters is 26 x 26 x 26 x 26 = 456,976.
To find the total number of possible passwords, we simply multiply the number of combinations for the first three characters by the number of combinations for the last four characters:
1000 x 456,976 = 456,976,000
Therefore, there are 456,976,000 possible passwords that can be made for this website.
Suppose X1,X2,X3 are random variables, each with expected value mand variance v, and cov(Xi,Xj) = c, i not equal j. Calculate the covariance and correlation coefficient of U,V , where U = 2−X1−2X2, and V = 3+3X2−X3.
To calculate the covariance and correlation coefficient of U and V, we need to first find the expected value and variance of U and V.
What is covariance?The covariance of two variables is a gauge of their relationship. In other words, it is a measure of how much the values of two variables tend to fluctuate together. Positive covariance shows that the values of the two variables tend to rise or decrease together, whereas negative covariance indicates that the values of one variable tend to increase when the values of the other variable drop. In probability theory and statistics, covariance is frequently employed to determine the association between two variables. It is determined by multiplying the variances of the two variables from their respective means and dividing the result by the total number of observations. This metric can be helpful for seeing trends and patterns in data and aiding analysts in forecasting.
How to solve?
The expected value of U is $E[U] = E[2 - X_1 - 2X_2] = 2 - m - 2m = -2m. Similarly, the expected value of V is $E[V] = E[3 + 3X_2 - X_3] = 3 + 3m - m = 4m.
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To calculate the value of covariance and correlation coefficient of U and V, we have to find their expected value along with variance.
What does covariance mean?A measure of the link between two random variables and how much they fluctuate together is called covariance. Alternately, we may say that it establishes the relationship between the two variables' changes, i.e., that a change in one variable is equivalent to a change in the other.
What does the covariance tell us?When one variable changes, covariance shows the link between the other two variables. Both variables are said to have positive covariance if a rise in one causes an increase in the other. Reduced values of one variable also result in reduced values of the other.
for expected value of U ;
= $E[U]
= E[2 - X_1 - 2X_2]
= 2 - m - 2m = -2m.
Similarly, the expected value of V;
= $E[V]
= E[3 + 3X_2 - X_3]
= 3 + 3m - m
= 4m.
now we can easily calculate the covariance and correlation coefficient of U,V.
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|x+3| if x>5 don't use the absolute value symbol
The possible values of the expression when the inequality is true, are:
(8, ∞).
How to find the possible values of the expression?
Here we have the absolute value expression:
A = |x + 3|
And we know that x > 5, replacing that in the inequality, we will see that the lower bound of the possible values is:
A >|5 + 3|
A > 8
Then the values allowed for the expression are all the values in the range (8, ∞).
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Pedro coloca cerámica al piso de un patio. Si el patio tiene forma cuadrada y su ancho mide 9 m, ¿cuánto mide la superficie que se cubrirá?
The question asks us to determine the surface area of a square-shaped patio that Pedro is covering with ceramic tiles. We are given that the width of the patio is 9 meters.
To find the surface area of a square, we need to multiply the width of one side by itself. In this case, since the patio is square-shaped, the width of one side is also the length of the other side.
So, the surface area of the square patio can be calculated by multiplying the width (9 meters) by itself:
9 meters * 9 meters = 81 square meters.
Therefore, the surface area of the patio that will be covered with ceramic tiles is 81 square meters.
The surface area of the patio that will be covered with ceramic tiles is 81 square meters.
To find the surface area of the square-shaped patio, we multiply the width (9 meters) by itself, since the patio is square-shaped and all sides have the same length. This calculation gives us a surface area of 81 square meters. It is important to note that the unit of measurement for the surface area is square meters, which represents the area covered by the ceramic tiles. The concept of surface area is used to determine the amount of material needed to cover a given space. In this case, Pedro will need 81 square meters of ceramic tiles to cover the entire patio.
The surface area of the patio that Pedro will cover with ceramic tiles measures 81 square meters.
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(5 points) how many revolutions will a car wheel of 30 in. (diameter) make as the car travels 1 mile?
We need to know about circumference of a circle to solve the problem. The number of revolutions that the car wheel makes to travel 1 mile is 672.
The circumference of the circle is the perimeter of the circle. In the given question we know that the diameter of the car wheel is 30 inches, and we need to find out the number of revolutions it will take for the car to travel 1 mile. We need to find the circumeference of the circle from there we will know how much distance it covers in one revolution, so we can find out after that the number of revolutions it will take to cover 1 mile.
radius= 30/2 = 15 inches
circumference= 2\(\pi\)r = 2x \(\pi\)x 15=94.25 sq inches
1 mile = 63360 inches
revolutions = 63360/94.25= 672
Therefore the number of revolutions the car will make to travel 1 mile is 672.
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Help I needed please
Answer:
Step-by-step explanation:
Area = length x height
A = 2.4 x 5.6
A = 13.44 in^2
The formula that the Diamond Company uses to estimate its monthly office supply expenses is y 10.50x + 100, where x is the number of people working in the office that month and y is the total monthly office supply expense. If the office supply estimate for January is $362.50, how many people are working in the office that month?
35 people
25 people
4 people
12 people
Answer:
Step-by-step explanation:
first plug 362.50 in for y since that is our office supply expense
362.50 = 10.50x + 100
then we solve for x
362.50 = 10.50x + 100
262.50 = 10.50x
25 = x
so 25 are working in the office that month
hope this helps <3
Darlene purchases 20,000 worth of stock on her brokers advice and pays her broker a 1.5% broker fee darlene purchases 20,000 worth of stock on your brokers advice and pays her broker a 1.5% broker freeshe sells her stock when it increases to $28,600.02 years later and uses a discount broker who charges $21 per trade compute Darlenes net proceeds after the broker fees are taken out
Answer:
Darlene's net proceeds after the broker fees are taken out is $8,279.
Step-by-step explanation:
From the question, the following can be obtained:
Basic cost of purchase of the stock = $20,000
Broker fee related to purchase = Basic cost of purchase of the stock * 1.5% = $20,000 * 1.5% = 300
Total cost of purchase of the stock = Basic cost of purchase of the stock + Broker fee related to purchase = $20,000 + 300 = $20,300
Selling price = $28,600
Broker fees related sales = 21
The net proceed can therefore be calculated as follows:
Net proceeds = Selling price - Broker fees related sales - Total cost of purchase of the stock = $28,600 - $21 - $20,300 = $8,279
Therefore, Darlene's net proceeds after the broker fees are taken out is $8,279.
if a rational function is proper, then _______ is a horizontal asymptote.
A rational function's horizontal asymptote can be calculated by examining the numerator and denominator degrees.
what is rational function ?If a polynomial can be expressed as a polynomial divided by a polynomial, that function is deemed rational. A rational function's domain is the collection of all numbers except the zeros in the denominator since polynomials are defined everywhere.
given
The degrees of the numerator (n) and denominator are used to pinpoint the location of the horizontal asymptote (m). Y=0 is the horizontal asymptote if nm, the x-axis, is vertical.
The horizontal asymptote is y=an/bm if n=m. If y=p, for example, is a horizontal asymptote, then set the rational function equal to p and find x. X must be a real number for the line to cross the horizontal asymptote at (x,p).
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Let A denote the set {a, b, c, d, e, f). Consider the following relations Rand S on set A: R= {(a, b), (b, d), (c, b),(d, e), (d, )} S= {(b, a),(b, c), (d, b), (d, d), (e, b), (f, d)} Find: (a) R² (b) R · S (C) S · R (d) The reflexive closure of R (e) The symmetric closure of R (f) The transitive closure of R
a set is a collection of distinct objects, considered as an entity on its own
To find the requested operations on the given relations, let's evaluate each one:
(a) R²: To find the composition of R with itself, we need to find all pairs (x, z) such that there exists a y in A for which (x, y) ∈ R and (y, z) ∈ R.
R² = {(a, d), (b, e), (c, d), (d, e)}
(b) R · S: To find the composition of R and S, we need to find all pairs (x, z) such that there exists a y in A for which (x, y) ∈ R and (y, z) ∈ S.
R · S = {(a, a), (b, a), (b, c), (b, d), (c, a), (c, c), (d, a), (d, b), (d, d)}
(c) S · R: To find the composition of S and R, we need to find all pairs (x, z) such that there exists a y in A for which (x, y) ∈ S and (y, z) ∈ R.
S · R = {(b, b), (b, d), (d, a), (d, b), (d, d), (e, b)}
(d) The reflexive closure of R: To obtain the reflexive closure of R, we need to add pairs (x, x) for all x in A that are not already in R.
Reflexive closure of R = {(a, b), (b, d), (c, b), (d, e), (d, d), (e, e)}
(e) The symmetric closure of R: To obtain the symmetric closure of R, we need to add the reverse pairs for all existing pairs in R.
Symmetric closure of R = {(a, b), (b, a), (b, d), (c, b), (d, b), (d, e)}
(f) The transitive closure of R: To obtain the transitive closure of R, we need to add pairs (x, z) such that there exists a y in A for which (x, y) and (y, z) are already in R, or there is a sequence of pairs in R that connect x to z.
Transitive closure of R = {(a, b), (a, d), (b, b), (b, d), (b, e), (c, b), (c, d), (d, d), (d, e), (e, e)}
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In the expression 73 – 4•3+8, the first operation is...? A.an exponent
B.subtraction.
C.multiplication.
D.addition.
Answer:
C. multiplication
Step-by-step explanation:
P= ()
E=^
M=x
D=/
A=+
S=-
Find the circumference of the circle
Answer:
C
Step-by-step explanation:
the circumference of a circle is
2×pi×r
r being the radius, which is half of the diameter.
in our case
r = 18/2 = 9 mm
so, the circumference is
2×3.14×9 = 18×3.14 = 56.52 mm
ochala bought a music system on hire purchase. He paid a total of sh 5,200 .if he started by paying a deposit of sh 2,300 for how many months did he pay the remaining money if each monthly installment was sh 2,900
sheldon purchased 189 sq. ft. of sod for his square-shaped yard. What is the width of his yard?
Answer: 13.7 ft
Step-by-step explanation:
The square root of 189 is 13.7 (rounded off).