Answer:
Step-by-step explanation:
B=CD-A
Identify each pair of angles as corresponding, alternate interior, alternate exterior, same-side interior, vertical, or adjacent
1) Alternate exterior
2) Corresponding
3) Alternate exterior
4) Alternate exterior
5) Vertical
6) Corresponding
7) Adjacent
8) Corresponding
9) Corresponding
10) Alternate interior
Explain why a graph that fails the vertical-line test does not represent a function. Be sure to use the definition of a function in your answer
Explanation:
A function is a relationship where any one x-value/input only has one corresponding y-value/output. (note: a y-value can have multiple x-values).
> This can be called "assigning one y-value to every x element".
The vertical line test places a line that would connect all y-values of an x-value (that is, if it were to have multiple y-values). If multiple points can be found along the vertical line, it is, therefore, by the definition of a function, not a function. (Because an x-value will have more than one y-value).
So, a graph that fails the vertical-line test does not represent a function because an x-value will correspond with more than one y-value.
hope this helps!!
What is the weighted average cost of capital (WACC) for ABC Limited which has the following capital structure? $5m of equity with a cost of equity of 15%; $2m of mezzanine finance with a cost of 9.5%; $1m of senior debt with a cost of debt of 7%.
Answer:
the answer is 13.73 %
A coin is tossed, and a die is rolled. What is the probability that the outcome is a head or an even number?
Answer: When a coin is tossed and a die is rolled the probability of getting a head or an even number is = 3/4
Step-by-step explanation:
probability : The ratio of the favorable outcome to the total outcomes is gives the probability.
So for the given case all possible outcomes are = 12(1,H),(1,T),(2,H),(2,T),(3,H),(3,T),(4,H),(4,T),(5,H),(5,T),(6,H),(6,T)
total no of outcomes when there is head on coin are = 6(1,H),(2,H),(3,H),(4,H),(5,H),(6,H)
Total no of outcomes when there is even on dice are = 3(2,T),(4,T),(6,T)
So the total number of favorable outcomes are:6+3 = 9
Total outcomes = 12Therefore the probability is given by 9/12 = 3/4
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Answer: The probability of getting a head or an even number is = 3/4
What is probability?It is the measure of how likely an event or outcome is. Different events have different probabilities!For the given case: Possible outcomes are(1,H),(1,T),(2,H),(2,T),(3,H),(3,T),(4,H),(4,T),(5,H),(5,T),(6,H),(6,T)
So, no. of possible outcomes 12
No. of coin outcomes (when it's head) = 6(1,H),(2,H),(3,H),(4,H),(5,H),(6,H)
No of dice outcomes (when it's even) = 3(2,T),(4,T),(6,T)
So the total number of favourable outcomes are:6+3 = 9
Total outcomes = 12
Probability = [tex]\frac{No. of favorable outcomes}{total outcomes}[/tex]
Probability for this case is = [tex]\frac{9}{12} =\frac{3}{4}[/tex]
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A regular polygon has n sides.
How many pairs of parallel sides does the polygon have if:
a) n is odd?
b) n is even?
The number of pairs of parallel sides of the polygon have no parallel sides if n is odd and n/2 pair of parallel sides if n is even.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
A regular polygon has n sides.
Then the number of pairs of parallel sides of the polygon will be
IF n is odd, then none of the sides are parallel.
If n is even, then the number of pair of parallel sides will be n / 2.
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A 400 second song is divided into three parts the beginning the middle and the end the beginning is one sixth as long as the end
The beginning, middle and end part of the song is 40, 120 and 240 seconds respectively
How to find equation of the unknownlet
x = end partBeginning = 1/6xMiddle = 1/2xTotal = 400 secondsx + 1/6x + 1/2x = 400
(6x+x+3x) / 6 = 400
10/6x = 400
x = 400 ÷ 10/6
x = 400 × 6/ 10
= 2400 / 10
= 240 seconds
Therefore,
End part = x
= 240 seconds
Beginning = 1/6x
= 1/6 × 240
= 40 seconds
Middle = 1/2x
= 1/2 × 240
= 120 seconds
Complete question:
The beginning is one sixth as long as the end. The middle is one half as long as the end. Find the length of each part
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This is the full question
Answer:
< $0 --------------$35------ $50>
Step-by-step explanation:
I see it's still the same, the maximum discount can be put off is still $50
and you can find that out by discount 30% off 50 to get $35 :)
< $0 --------------$35------ $50>
Find the least number which when divided by 12, 18 and 20 leaves no reminder.
Answer:
180
Step-by-step explanation:
Find the LCM of 12, 18, and 20
[tex]12 = 2 \times 2 \times 3[/tex]
[tex]18 = 2 \times 3 \times 3[/tex]
[tex]20 = 2 \times 2 \times 5[/tex]
LCM = 2 × 2 × 3 × 3 × 5 = 180
A linear function on a coordinate plane passes through (minus 2, 3), (minus 1, 0), (0, minus 3), and (1, minus 6)
Which equation describes the line graphed above?
A.
B.
C.
D.
The equation of line is y = 3x + 3 that passes throgh the provided points option (C) y = 3x + 3 is correct.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The options are missing.
The options are:
A) y = 3x - 3
B) y = -3x + 3
C) y = 3x + 3
D) y = -3x - 3
From the points [tex]\left(-2,3\right)[/tex] and [tex]\left(-1,0\right)[/tex]:
[tex]\rm y\ =\ \dfrac{3}{-1+2}\left(x+1\right)[/tex]
y = 3(x + 1)
y = 3x + 3
Thus, the equation of line is y = 3x + 3 that passes throgh the provided points option (C) y = 3x + 3 is correct.
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On a coordinate plane, a parabola opens down with solid circles along the parabola at (negative 3, negative 5), (negative 2, 0), (negative 1, 3), (0, 4), (1, 3), (2, 0), (3, negative 5). Which statement is true regarding the intervals where the function is increasing and decreasing? The function is increasing from (–∞, 0). The function is increasing from (0, ∞). The function is decreasing from (–∞, 0). The function is decreasing from (–∞, ∞).
The true statement regarding the intervals where the function is increasing and decreasing is option A: The function is increasing from (–∞, 0).
What is a function?A function is defined as a relation between the set of inputs having exactly one output each.
On a coordinate plane, a parabola opens down with solid circles along the parabola at (-3, -5), (-2, 0), (-1, 3), (0, 4), (1, 3), (2, 0), (3, -5).
The domain is all real numbers.
The range is all real numbers.
If for an interval I, when x decreases meanwhile staying in interval I, the function's output increases (or can stay same), then we say that the function is increasing in the interval.
The true statement regarding the intervals where the function is increasing and decreasing is option A: The function is increasing from (–∞, 0).
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Answer:
A
Step-by-step explanation:
What is the formula for finding the area of abc?
The formula for finding the area of the triangle ΔABC will be half of the product of the base and height. Then the formula is A = 1/2 x BC x AD.
What is the area of the triangle?The area of the triangle is given as
A = 1/2 x B x H
Where B is the base and H is the height of the triangle.
The triangle is given below,
We have
B = BC
H = AD
Then we have
A = 1/2 x BC x AD
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for f(x)-4x+1 and g(x)-x^2-5, find (g/f) (x)
Answer:
A.
Step-by-step explanation:
let me know if you want an explanation :))
Answer:
A
Step-by-step explanation:
need help with this question please
∠ A = 132°
Step-by-step explanation:
∠ A + ∠C = 180° (Angle sum of cyclic quadrilateral)
∠ A = 180° - ∠ C = 180° - 48°
∠ A = 132°
If everything in a store is 20% off, and the discounted price of an item is $18.00, what is
the regular price?
The regular price is $22.5 if everything in a store is 20% off, and the discounted price of an item is $18.00
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
We have:
If everything in a store is 20% off, and the discounted price of an item is $18.00
Let's suppose the regular price is x
(100-20)% of x = 18
80x/100 = 18
x = $22.5
Thus, the regular price is $22.5 if everything in a store is 20% off, and the discounted price of an item is $18.00
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Select "Yes" or "No" to indicate whether the ordered pair is on the graph of the function f(x)=−25^x+1.
Among all the three ordered pairs no one lies on the graph of the function f(x)=[tex]-25^{x} +1[/tex].
Given The value of a function f(x)=[tex]-25^{x} +1[/tex]
If we want to check whether it will lie on the graph of a function or not then we have to just put those points in the function ,if the function satisfies means they lie on that graph otherwise not.
Taking first ordered pair :(1,625)
value of x is 1 and value of y is 625.
we have to put in the function so
625=-[tex]25^{1}+1[/tex]
625 is not equal to -24 so it does not satisfy.
Taking second ordered pair :(0,-25)
-25=-25 raise to power 0 +1
-25 is not equal to 1 so it does not satisfy.
Taking third ordered pair: (-1,-1)
-1=-1/25+1
-1 is not equal to 24/25 so it does not satisfy.
Hence among all the ordered pairs none will lie on line of the given function.
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I am not able to tackle this question. Somebody please help me out
The minimum load at which a certain kind of iron wire breaks can be supposed to define a random variable normally distributed with expected value 80N and standard deviation 3N. Find the probability that such a wire will break when the load is (a) 74N
(b)89N
The wire breaks if the load [tex]X[/tex] exceeds some amount. So what you're asked to do is find [tex]P(X\ge74)[/tex] and [tex]P(X\ge89)[/tex].
In either case, transform [tex]X[/tex] to the random variable [tex]Z[/tex] that's normally distributed with expected value 0 and standard deviation 1.
[tex]P(X\ge74) = P\left(\dfrac{X-80}3 \ge \dfrac{74-80}3\right) \\ = P(Z \ge -2) \\ = 1-P(Z < -2) \approx 0.9773[/tex]
[tex]P(X\ge89) = P\left(\dfrac{X-80}3 \ge \dfrac{89-80}3\right) \\= P(Z \ge 3) \\= 1 - P(Z < 3) \approx 0.0013[/tex]
Find the slope of the line passing through the points (-5, -3) and (0, -4).
Answer:
To find the slope:
[tex]\frac{(y_{1} - y_{2})}{(x_{1} - x_{2})} =\frac{(-3-(-4))}{(-5-0)} =\frac{1}{-5}[/tex]
Hope it helps!
Mrs. Hilt owns a house on a lot shaped like a rectangle. The perimeter
of the lot is 60 feet. What is the length and the width of the lot?
Answer:
2l + 2w = 60
Step-by-step explanation:
How much is Bob's net salary for the week? Question 32
Answer:
A. $152.00
Step-by-step explanation:
I'm 99% sure the net salary is just the 220 (gross salary) minus everything else taken away which is (42 + 7 + 15 + 4) = 68. 220 - 68 = 152 so Bob's net salary would be 152
The boundary of a park is shaped like a circle. The park has a rectangular playground in the center and 2 square flower beds, one on each side of the playground. The length of the playground is l and its width is w. The length of each side of the flower beds is a. Which two equivalent expressions represent the total fencing material required to surround the playground and flower beds? Assume that the playground and beds do not overlap.
The total fencing material required to surround the playground of length l and width w and 2 flower beds of side a is 2 ( l + b ) + 8a units.
What is perimeter of square or rectangle?The perimeter of a two-dimensional shape is the total length of the outline.
Perimeter of rectangle = 2 ( l + b ).
Perimeter of square = 4 × side.
Given the length of the playground is l and its width is w and the length of each side of the flower beds is a.
The total fencing material required = perimeter of playground + 2 * Perimeter of flower bed.
= 2 ( l + w ) + 2 * 4a
= 2 ( l + w ) + 8a units.
Therefore, The total fencing material required to surround the playground and flower beds is 2 ( l + w ) + 8a units.
The question seems incomplete, its options could be:
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Write the slope-intercept form of the line that has a slope of 2 and intersects the line, 2X - 3Y = 6 at X = 3
The slope-intercept expression for the line is, y=2x-6
The slope-intercept formula is the one we require for this issue.
y = mx + b is the expression that provides the answer.
where 'm' is the equation's scale's slope and 'b' is the y-intercept, or the point on the y-axis in which the line intersects, respectively.
Since, the x-intercept of the line 2x-3y=6 is (3, 0), we desire the following line's expression, which has a slope of 2, to pass over the position (3,0).
Use the formula y=mx +b, x=3, y=0 to get 'b'.
Hence,
0 = 2(3) + b
⇒ b= -6,
∴The expression for the line is y= 2x-6.
This line will cross at x=3 and 2x-3y=6.
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Help me with this question please and thank you!! :)
Question 1
The complement of set B is all the elements in S but that are not in B, which is [tex]\{2, 4, 5, 9, 10, 11, 12, 13, 14, 17, 19\}[/tex].
We want to find the intersection of set A and the complement of set B, which is the set of all elements that both sets contain.
This is {2, 9, 10, 12}, meaning there are 4 elements.
Question 2
Following a similar logic as the last problem, the complement of set A is [tex]\{1,3,4,5,6,7,11,13,14,15,17,18,19\}[/tex].
Therefore, the desired set is [tex]\{1,3,6,7,15,18\}[/tex], and thus there are 6 elements.
For each of the following research questions, determine whether an observational study, an
experiment, or neither should be used to answer the question. Note - each term on the right may be
used more than once or not at all.
The situations described can be classified as experiment, and observational study.
What is an experiment?An experiment is a tool to test a hypothesis about the occurrence of a particular phenomenon. According to the above, it can be stated that student-centered instruction can be classified as an experiment because this method of education is used and it is verified whether it is effective or not.
What is an observational study?An observational study is a methodology to identify the occurrence of an event in a particular situation. From the foregoing, it can be inferred that the participation of women in the 2016 election is the product of an observational study because only the number of voters should be counted and the number of women who participated should be identified.
Note: This question is incomplete because there is some information missing. Here is the information missing.
OPTIONS:
Does learner-centered instruction increase students' success rates in maths?
What proportion of registered women voters voted in the 2016 U.S. presidential election?
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The Candle Factory is producing a new candle. It has a radius of 3 inches and a height of 5 inches. How much wax is needed to make the candle? Use 3.14 for Pi. Round to the nearest whole cubic inch.
A cylinder with a radius of 3 inches and height of 5 inches.
Recall the formulas S A = 2 pi r squared + 2 pi r h and V = pi r squared h.
141 cubic inches
236 cubic inches
443 cubic inches
565 cubic inches
Answer:
141 cubic inches
Step-by-step explanation:
The candle can be modeled as a cylinder.
To find how much wax is needed to make the candle, calculate the volume of the cylinder.
[tex]\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]
Given:
r = 3 inh = 5 inπ = 3.14Substitute the given values into the formula and solve for V:
[tex]\implies \sf V=3.14 \cdot 3^2 \cdot 5[/tex]
[tex]\implies \sf V=3.14 \cdot 9 \cdot 5[/tex]
[tex]\implies \sf V=28.26 \cdot 5[/tex]
[tex]\implies \sf V=141.3\:in^3[/tex]
Therefore, the amount of wax needed to make the candle is 141 cubic inches (nearest whole cubic inch).
The perimeter of an equilateral triangle is 9x + 3, this is greater than the perimeter of a
regular pentagon which is 10x - 5.
Write down an inequality to represent this information.
Answer:
x < 8
Step-by-step explanation:
9x + 3 > 10x - 5
9x - 10x > -5 - 3
-x > -8
x < 8
Question is in attached file
The rate of the passenger train is 81.67 MPH and the rate of the freight train is 66.67 MPH.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
The distance traveled by passenger train = 245 miles
The distance traveled by freight train = 245 miles
The time takes for both trains is the same.
Let's suppose the rate of the passenger train is x and the rate of the freight train is y;
As we know,
Distance = speed×time
245/x = 200/y
200x = 245y
200x - 245y = 0 ..(1)
x = 15 + y ..(2)
Equations (1) and (2) represent the situation.
After solving equations (1) and (2):
[tex]\rm x=\dfrac{245}{3}= 81.67\\\\\\\:y=\dfrac{200}{3}=66.67[/tex]
Thus, the rate of the passenger train is 81.67 MPH and the rate of the freight train is 66.67 MPH.
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A manufacturer of pacemakers wants the standard deviation of the lifetimes of the batteries to be less than 1.8 months. A sample of 20 batteries had a standard deviation of 1.6 months. Assume the variable is normally distributed. Find the 95% confidence interval of the standard deviation of the batteries. Based on this answer, do you feel that 1.8 months is a reasonable estimate?
Answer:
Look down my answer↓:
Step-by-step explanation:
Jordan and Taylor are collecting canned foods for the homeless. They hope to collect 10 cans per day to reach their goal. They have already collected 120 cans. If the
function for this problem is f(c) = 10r+120, determine how many cans Jordan and Taylor will have collected after 8 days.
Answer:
200 cans.
Step-by-step explanation:
f(c)=10r + 120
Put t=8 into it
T(c) = 10 x 8 + 120
=200 cans
(Use substitution method)
Choose True or False, (T or F). Grouped data is a data that has not been organized into intervals.
The statement "Grouped data is a data that has not been organized into intervals" is false.
Data presented in class intervals, such as 0-20, 20-40, and so on, is referred to as "grouped data."
Ungrouped data is information presented as individual values or integers, such as 15, 63, 34, 20, 25, and so on.
Assume we have a set of data with values between 0 and 50, such as 2, 17, 0, 1, 8, 19, 43, 2, 1, 32, and so on. In this situation, we may divide the data into categories like 0-10, 10-20,...,40-50. The data in this case are simply grouped.
Hence, the statement "Grouped data is a data that has not been organized into intervals" is false.
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John needs to put the set of numbers below in ascending order.
3, -1, √5, 13, -11
Which number should John write first?
A. -1
B. -11
C. √5
D. 13
