The value of x is 12.
What is a transversal?When two or more parallel lines are intersected by a straight line, then the line is said to be a transversal. These produces a series of angles which have some common properties.
In the given question, the lines l, m and n were cut by two transversals. Thus we can compare the corresponding parts of line segments.
We have;
x/ 35 = 14/ 41
cross multiply to have;
41x = 35*14
= 490
x = 490/ 41
= 11.9512
Thus, the value of x is 12.
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Just help me with question 2
Answer:
<+3.5
as I think,.....
Step-by-step explanation:
3.25histograms are generally used with categorical variables (as opposed to numeric variables).group of answer choices true false
A histogram is a graphical representation of data that uses bars of different heights to represent the frequency of a given variable.
It is used to display the distribution of a categorical variable by showing the number of data points that fall into each of several categories.
To calculate the heights of the bars in a histogram, you first need to determine the number of data points in each category. This is done by counting the number of data points that fall into each category, and then dividing by the total number of data points. This gives us the histogram of each category, which can then be used to calculate the height of the bar. The formula for this is:
Bar Height = Frequency of Category / Total Number of Data Points
For example, say there are 10 data points in the category “A” and 20 data points in the category “B”. The frequency of “A” is 0.5 (10/20), and the frequency of “B” is 0.5 (20/20). The height of the bar for “A” would be 0.5, and the height of the bar for “B” would be 0.5.
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Write an explicit formula for a subscript n, the nth term of the sequence 8, 4, 2,..
The explicit formula for the given sequence is -
a{n} = 8(2)ⁿ ⁻ ¹
What is a geometric sequence?A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio.
Given is the sequence as -
8, 4, 2, ....
The given sequence is a geometric sequence with common ratio of -
{r} = 8/4 = 4/2 = 2
{r} = 2
We can write the explicit term as -
a{n} = 8(2)ⁿ⁻¹
Therefore, the explicit formula for the given sequence is -
a{n} = 8(2)ⁿ ⁻ ¹
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8.1 geometry big ideas
Answer:
24
Step-by-step explanation:
16/12 is 1.333333333
20/15 is 1.333333333
18x1.333333333 is 24
There are 130 people in a sport centre.
65 people use the gym.
51 people use the swimming pool.
44 people use the track.
15 people use the gym and the pool.
14 people use the pool and the track.
10 people use the gym and the track.
1 person uses all three facilities.
How many people use at least two facilities?
The number of people they use at least two facilities is 37
What is set?A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.
n( of people that use gym and pool only) = 15-1 = 14
n( of people that use pool and track only) = 14-1 = 13
n( of people that use gym and track only) = 10-1 = 9
therefore total number of people that use atleast two facilities = 14+13+9+1 = 37
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for each expression use the distributive property to write an equivalent expression a 4(x+2) b(6+8).x c 4(2x+3) d 6(x+y+z)
a. 4x + 8 b. 6x + 8x (???) c. 8x + 13 d. 6x + 6y × 6z
b doesnt make sense. is it x(6+8)?
Lines x and y are parallel.
Which angles are congruent to ∠1? Click and drag the angle labels to the box.
WORTH 100 POINTS!! IF WRONG, WILL LOSE POINTS!
Because lines y and x are parallel, we can see that the angles that are congruent to ∠1 are:
∠5, ∠4, ∠6
Which angles are congruent to ∠1?We know that lines x and y are parllel lines.
So, the angles in the same quadrant of the two intersections will have the same measure, this means that:
∠1 = ∠5
∠2 = ∠6
and so on.
Also, remember that on an intersection the vertical angles have the same measure, that means that:
∠1 = ∠4
∠5 = ∠6
Then, the angles that are congruent to ∠1 are:
∠5, ∠4, ∠6
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Lincoln is going to see a movie and is taking his 2 kids. Each movie ticket costs $13 and there are an assortment of snacks available to purchase for $5 each. How much total money would Lincoln have to pay for his family if he were to buy 4 snacks for everybody to share? How much would Lincoln have to pay if he bought x snacks for everybody to share?
Answer:
The answer is $99
Step-by-step explanation:
The total money Lincoln has to pay for his family to see a movie and share 4 snacks is $59. When Lincoln buys x snacks to share, the total cost would be $39 plus $5x.
Explanation:The costs that Lincoln has to pay consists of two parts: the cost for the tickets and the cost for snacks. Lincoln himself and his two kids makes for 3 people in total. A ticket for each person costs $13, so the cost for tickets is 3 multiplied by $13, which equals $39.
If Lincoln buys 4 snacks for everybody to share, each at a price of $5, these snacks would cost 4 multiplied by $5, which is $20 in total. So, the total cost would be $39 (for tickets) plus $20 (for snacks), resulting in a total of $59.
For the case when Lincoln buys x snacks for everybody to share, just replace the number 4 with x in our snacks calculation. That would be $5x for the snacks cost. The total cost Lincoln would have to pay is then, still $39 for tickets, plus $5x for snacks.
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x/2 - 2/x+1 =1
The brackets are represented as a fraction
The value of x in this equation (x/2) - (2/x+1) = 1 is -2 and 3.
What is called equation?Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero. Since we can balance this by deducting the right-side expression from both sides' expressions, this won't reduce the generality.
Given the equation is
(x/2) - (2/x+1) = 1
thaking LCM of left side of equation we get,
[x(x+1) - 2*2]/ 2(x+1) = 1
⇒ (x² + x - 4) / (2x +2) = 1
multiply both side by (2x +2) we get,
⇒ (x² + x - 4) = (2x +2)
subtract both side by (2x +2) we get,
⇒ (x² + x - 4) - (2x +2) = 0
⇒ x² - x - 6 = 0
to get the value of x we factorize this equation
⇒ x² - (3-2)x - 6 = 0
⇒ x² - 3x +2x - 6 = 0
⇒ x (x - 3) + 2 (x - 3) = 0
⇒ (x - 3) (x +2) = 0
from x+2 = 0, we get the value of x = -2
and from x-3 = 0, we get the value of x = 3,
So that the value of x in this equation (x/2) - (2/x+1) = 1 is -2 and 3.
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Find the general solution of the following differential equation. Primes denote derivatives with respect to x. 3x2y' + 6xy = 15y3
The required general solution of the differential equation in implicit form y = [tex][(3/2) * (15x + C) * x^{-3}]^{-3/2}[/tex].
How to find general solution of the differential equation?The differential equation is a nonlinear equation and cannot be solved exactly by standard methods. One way to approach a solution is to try to find a substitution that transforms the equation into a separable form, where the variables can be separated and integrated separately. A common approach is to make the substitution y = v^(-2/3), which transforms the equation into:
According to question:3x^2 * (2/3) * v^(-5/3) * v' + 6x * v^(-2/3) = 15 * v^(-5/3)
Dividing both sides by v^(-5/3), we get:
3x^2 * (2/3) * v' + 6x * 3 * (2/3) * v^(1/3) = 15
This is now a separable differential equation, and we can integrate both sides to find the general solution:
∫(3x^2 * (2/3) * v' dx) = ∫(15 dx) + C
(2/3) * x^3 * v = 15x + C
v = (3/2) * (15x + C) * x^(-3)
Finally, substituting back for y = v^(-2/3), we get the general solution:
y = [tex][(3/2) * (15x + C) * x^{-3}]^{-3/2}[/tex]
This is the general solution of the differential equation in implicit form. To find an explicit form, one could solve for C using initial or boundary conditions.
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Write an equation of the line in slope-intercept
form.
Ay
-2
(0, 3)
2
(4, 2)
4
x
X
14) show all ur steps equation
The system of equations has no solution.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The given system of equations are x=4y-11 --------(I) and 3x-12y=-33 --------(II).
Substitute equation (I) in equation (II0, we get
3(4y-11)-12y=-33
12y-33-12y=-33
0=0
Equations has unique no solution.
Therefore, the system of equations has no solution.
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help me solve this one.
Answer:1 rose bush costs $11.50
1 geranium costs $9.50
Step-by-step explanation:
4 rose bushes 3 geraniums = $74.50
7 rose bushes 2 geraniums = $99.50
8 rose bushes 6 geraniums = $149
21 rose bushes 6 geraniums = $298.50
13 rose bushes = $149.50
1 rose bush = $11.50
3 geraniums =$74.50-($11.50x4) = $28.50
1 geranium = $9.50
Find fourconsecutive integers with the sum of 54
Answer:
They are 12, 13, 14 and 15.
Step-by-step explanation:
If the least integer is x, then:
x + x + 1 + x + 2 + x + 3 = 54
4x + 6 = 54
4x = 48
x = 12.
a cylinder and a cone have the same radius and height. the volume of the cylinder is 534 ft3. what is the volume of the cone.
Volume of the cone is 178 ft³.
What is volume?Volume is defined as the space occupied within the boundaries of any three-dimensional shape.
Its SI unit is meter³.
Given,
Radius and height of cylinder and cone are same
Volume of cylinder = 534 ft²
Let radius be r and height be h
Volume of cylinder = πr²h
Volume of cone = 1/3πr²h
⇒ Volume of cone = 1/3 (Volume of cylinder)
⇒ Volume of cone = 1/3 × 534
⇒ Volume of cone = 178 ft³
Hence, 178 ft³ is the volume of cone.
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how many murders per 100,000 residents can be expected in a state with 1 thousand automatic weapons? round to 3 decimal places.
There is no way to accurately answer this question as there are too many variables to consider, such as the population size and crime rate of the state.
There is no way to accurately answer this question as there are too many variables to consider. The population size of the state would be an important factor in calculating the number of murders per 100,000 residents. The population size of the state would determine how many people are in the state with an automatic weapon and therefore how many potential murders could occur. Additionally, the crime rate of the state would be an important factor in determining the number of murders per 100,000 residents as it would indicate whether or not there would be a higher propensity for crime in the state. Additionally, the availability of other weapons, such as handguns or knives, would also be a factor as it could reduce or increase the number of murders with automatic weapons. All of these factors, as well as others, make it impossible to accurately determine the number of murders per 100,000 residents in a state with 1 thousand automatic weapons.
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Read the numbers and decide what the next number should be. 1 1.25 7 7.50 2 2.25 8
imagine that a basketball player, who has a 50 percent shooting average, takes 21 shots in a row. select a sequence of makes and misses, below, to illustrate what you think a normal random variation would look like for this average player. how many times would he or she make or miss a basket, and what sort of pattern of makes and misses would we see with this average player?
The player would make or miss 10 shots.
The basketball player with a 50 percent shooting average would make or miss 10 baskets out of 21 shots taken. The pattern of makes and misses would be random, meaning there is no particular pattern for the player to follow. For example, we could see the following sequence of makes and misses: make, miss, make, make, miss, miss, make, miss, make, make, miss, make, make, miss, make, miss, make, miss, make, make, miss. We can calculate the expected outcomes of each shot by dividing the total number of shots (21) by the shooting average (50 percent). This gives us an expected outcome of 10.5, which is rounded to 10. Therefore, the player would make or miss 10 shots.
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E. You are planning a huge graduation party for your friend. You decide to offer both an enchilada and
a taco meal at the party. The enchilada dish costs $5, and the taco dish cost $7. There will be 250
people at the party, and the total cost of the food is $1500 How many enchilada meals will there be?
How many taco meals will there be? You do not have to solve this system of equations.
This problem can be solved by setting up two equations to represent the number of enchilada and taco meals being served. Let x be the number of enchilada meals and y be the number of taco meals. Then we have:
x + y = 250 (representing the total number of meals)
5x + 7y = 1500 (representing the total cost of the food)
Solving these equations using methods such as substitution or elimination will give you the values of x and y, i.e. the number of enchilada and taco meals being served at the party.
Answer:
x + y = 250 (representing the total number of meals)
5x + 7y = 1500 (representing the total cost of the food)
Step-by-step explanation:
14 is subtracted from a number is no less than 50
Answer:
x [tex]\geq[/tex] 64
Step-by-step explanation:
x is the number
x - 14 [tex]\geq[/tex] 50
Now isolate x to solve. So add 14 to both sides
x [tex]\geq[/tex] 64
Hope this helped :)
Given △abc∼△def, what is the value of x? responses x = 50° x , = 50° x = 60° x, = 60° x = 70° x, = 70° x = 110°
Answer:
[tex]f(x) = x {}^{2} [/tex]
Andy is making floor plans for a treehouse using a scale of 1 inch to 2 feet he wants to make the floor of the treehouse have a length of 8 feet how many inches should he show for this distance on his floor plan?
4 inches he should show for the distance on his floor plan.
What is Scale Factor?A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure.
Given:
Scale: 1 inch = 2 feet
For 8 foot length of tree house he draw x inch(say)
So, 1 inch/ 2 feet = x/8
8 = 2x
x= 8/2
x= 4 inches
Hence, the distance is 4 inches.
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Question 4
Price ($)
The amount a hardware store pays for buying nylon rope is represented by the
equation y = 0.12x, where y is the price it pays for x feet of rope. The amount the
hardware store charges when selling the rope is represented by the graph below. The
profit the store makes on the rope can be found by subtracting the price it pays for
the rope from the amount it charges for the rope. If the store sells 80 feet of rope,
how much profit does it make? Show your work...
If the store sells 80 feet of rope, it makes a profit of $6.4.
What is profit?The money made from selling a product, which should be higher than its cost price, is referred to as the profit. It is the gain from any type of commercial activity. In other words, a gain or profit is judged to have occurred when the selling price (SP) of a product exceeds its cost price (CP).
Given the amount a hardware store pays for buying nylon rope is represented by the equation,
y = 0.12x
the cost price of rope is y = 0.12x
and the amount the hardware store charges when selling the rope is represented by the graph,
from graph,
we find the coordinates (1, 0.20) (2, 0.40)
the equation of a line is y = mx + c
since the graph passes from the origin (0, 0) so the equation of the graph will be,
y = mx
and m = (.40 - 0.20)/(2 - 1)
m = 0.20
selling price of rope = y = 0.20x
where x is the length of rope in feet and y is the amount,
If the store sells 80 feet of rope,
the cost price of 80 feet of rope is
y = 0.12x
y = 0.12(80)
y = $9.6
and the selling price of 80 feet of rope is
y = 0.20x
y = 0.20(80)
y = $16
and profit = selling price - cost price
profit = 16 - 9.6
profit = $6.4
Hence profit is $6.4.
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a fleet of nine taxis is to be dispatched to three airports in such a way that four go to airport a, four go to airport b, and one goes to airport c. in how many distinct ways can this be accomplished?
There are 504 multiple ways to go about doing something. the probability that perhaps a specific event (or group of events) would happen.
either as a range between 0 and 100% or even as a percentage on either a line plot between 0 (impossibility) to 1 (certainty).
THE PROCEDURE IS HERE.
The three airports will each receive a fleet of nine taxis.
Three people travel to airport A, five to airport B, and one to airport C.
There are several different methods that this can be done, including:
(9C3) (6C5) (1C1)
(84) (6) (1) (1)
= 504
The result is that this could be done in 504 different ways.
Based on the probability equation, the likelihood that a will take place is related to the ratio of favorable outcomes to all outcomes. Amount of favorable outcomes/Total Number of outcomes determines the probability that an event will occur, P(E).
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there are two container of marbles. container a has 20 black and 30 white marbles and container b has 300 white and 100 black marbles. one person randomly sect a marble from container a and put it into b, now you will randomly choose 5 marbles from container b, what is the chance that exactly two are white?
The probability of selecting exactly 2 white marbles out of 5 marbles from container b is approximately 0.144 or 14.4%.
To calculate the probability of selecting exactly 2 white marbles out of 5, we can use the binomial coefficient formula, which is given by:
P(X=k) = (n choose k) × [tex]p^{k}[/tex] × [tex]1-p^{n-k}[/tex]
where n is the total number of trials (in this case, 5), k is the number of successful outcomes (in this case, 2), p is the probability of success (in this case, the probability of selecting a white marble), and (n choose k) is the binomial coefficient.
First, let's find the probability of selecting a white marble from container B, which is given by:
p = (number of white marbles) / (total number of marbles) = (300 + 1) / (300 + 100 + 1) = 301 / 401
Next, we can use the formula to find the probability of selecting exactly 2 white marbles:
P(X=2) = (5 choose 2) × p² * (1-p)⁽⁵⁻²⁾ = (10) × (301/401)² × (100/401)³ = 0.144
So the probability of selecting exactly 2 white marbles out of 5 is approximately 0.144 or 14.4%.
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the set of all solution points of an equation is the
The solution set of an equation is a collection of all the values called "solution set" or "root set" that make the equation true.
Explain about equation?A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
According to question:The solution set of an equation is a collection of all the values that make the equation true. In mathematical terms, it's the set of all values that satisfy the equation.
The solution set can be represented graphically on a number line or coordinate plane, or it can be expressed as an ordered pair, a set of ordered pairs, or an interval. In some cases, the solution set may be empty, meaning there are no values that satisfy the equation. In other cases, it may contain a single solution, infinitely many solutions, or a range of solutions.
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The figure below is dilated by a factor of 3/2
centered at the origin. Plot the resulting image.
Click twice to plot a segment.
Click a segment to delete it.
Ordered pairs for the image of ABCD after dilated by 3/2 with the center of dilation at the origin is A’(-3, 4.5), B’(-6,-6), C’(6, 0), D’(7.5, 6).
What is dilation?Dilation is defined as for the given geometrical shape when the size of the given shape get changed as per the given condition without changing its shape.
According to the question,
From the given figure ABCD
Ordered pair of A ( -2,3) , B(-4,-4) , C(4,0), D( 5,4)
Dilated 3/2by with the center of dilation at the origin
New ordered pair after dilation we have,
A¹(-2(3/2)), 3(3/2) =A¹(-3,4.5)
B¹)-4(3/2), -4(3/2) = B¹(-3,4.5)
C¹ (4(32), 0(3/2) = C¹(6,0)
D¹(5(3/2), 4(3/2) = D¹(7.5,6)
Hence, ordered pairs for the image of ABCD after dilated by 3/2 with the center of dilation at the origin is A’(-3, 4.5), B’(-6,-6), C’(6, 0), D’(7.5, 6).
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Use properties of operations to write an expression equivalent to p/6+ ( 7+ 8)
(p + 90)/6 is the expression equivalent to p/6+ ( 7+ 8)
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is p/6+ ( 7+ 8)
p by six plus seven plus eight.
In the given expression Combine the like terms
p/6 + (7 + 8)
p/6 + 15
LCM 1, 6 is 6
(p + 90)/6
Hence, (p + 90)/6 is the expression equivalent to p/6+ ( 7+ 8)
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Please help with this circumference problem
Answer: 40.82
Step-by-step explanation:
To calculate the circumference of a circle, multiply the diameter of the circle with π (pi).
13 * 3.14 = 40.82
This may be wrong, but I found this on the internet
I need help me please !!
The solution to the system of linear equations is (x, y) = (- 8 / 5, 6 / 5).
How to build and solve a system of linear equations
In this problem we need to build and solve a system of two linear equations with two variables. Linear equations are expression of the form:
y = m · x + b
Where:
m - Slopeb - Interceptx - Independent variabley - Dependent variableAnd the slope is calculated by following formula:
m = Δy / Δx
First, determine the linear equations associated with each table:
First line - Slope
m = (- 2 - 0) / [- 1 - (- 2)]
m = - 2 / 1
m = - 2
First line - Intercept
b = y - m · x
b = 0 - (- 2) · (- 1)
b = - 2
y = - 2 · x - 2
Second line - Slope
m = (3 - 1) / [2 - (- 2)]
m = 2 / 4
m = 1 / 2
Second line - Intercept
b = y - m · x
b = 3 - (1 / 2) · 2
b = 3 - 1
b = 2
y = (1 / 2) · x + 2
Second, find solution the system of linear equations:
Find x:
(1 / 2) · x + 2 = - 2 · x - 2
(5 / 2) · x = - 4
5 · x = - 8
x = - 8 / 5
Find y:
y = (1 / 2) · (- 8 / 5) + 2
y = 6 / 5
The system of linear equations has the following solution: (x, y) = (- 8 / 5, 6 / 5)
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