The correct option is B) N is the midpoint of line segment JL. and M is the midpoint of line segment KJ. and MN = KL/2.
Triangle JKL is given below By definition, a midpoint of a line segment is a point that divides the line segment into two equal parts.
This means that the line segment between the midpoint and each endpoint of the line segment are of the same length.
So, the following statements are true:
N is the midpoint of line segment JL.M is the midpoint of line segment KJ.
Both M and N divide their respective line segments into two equal parts.
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You are giving a Rubik's cube as a gift. The side of the Rubik's cube 3 inches. You want to wrap the gift with no paper left over. How much wrapping paper do you need
Answer:
18in of rapping paper
Step-by-step explanation:
a rubics cube has 6 sides so 6x3=18
3. Mr. Chong is also planning for his class to go on the same
trip. He collects $6 from each of his students too, but one of his
students could only pay $3 making his total $219. How many stu-
Idents are in his class?
Answer: 37 students please mark brainliest
Step-by-step explanation: 219=3=216, 216 divided by the $6 is 36 plus the student that could only pay $3 is 37 students
To mail a letter first class, the us postal service charges $0.34 for the first ounce and $0.21 for each additional ounce. What will be the weight of a letter costing 5.76?
Answer:
25.599
I think
Step-by-step explanation:
if its right can u please give me the brainilest
What is 22.3 rounded to the nearest hundred
Answer:
100
Step-by-step explanation:
Answer:
There isn't a hundredth decimal in the number 22.3
22.3 the three is a tenth but there is not a hundredth decimal
Everett shoveled 31,798 ounces of gravel from a pile to his driveway. Which best describes this amount?
Answer:
31,798 describes the amount
If the rate of return is 9% per year, what is the net present value of the above cash flows?
Period ,Cash Flow
1 $45,000.00
2 $50,000.00
3 $55,000.00
4 $60,000.00
excel formula
5 $65,000.00
The net present value (NPV) of the cash flows, with a 9% annual rate of return, is $213,736.75, calculated by discounting each cash flow to its present value and summing them up.
To calculate the net present value (NPV) of the cash flows, we need to discount each cash flow to its present value and then sum them up. The discounting is done using the rate of return of 9% per year.The formula to calculate the present value of each cash flow is:PV = CF / (1 + r)^n
Where PV is the present value, CF is the cash flow, r is the rate of return, and n is the period.Using this formula, we can calculate the present value of each cash flow:
PV1 = $45,000 / (1 + 0.09)^1 = $41,284.40
PV2 = $50,000 / (1 + 0.09)^2 = $42,059.68
PV3 = $55,000 / (1 + 0.09)^3 = $42,790.12
PV4 = $60,000 / (1 + 0.09)^4 = $43,477.59
PV5 = $65,000 / (1 + 0.09)^5 = $44,124.96
Now, we can sum up the present values of all the cash flows to find the net present value:NPV = PV1 + PV2 + PV3 + PV4 + PV5
= $41,284.40 + $42,059.68 + $42,790.12 + $43,477.59 + $44,124.96
= $213,736.75
Therefore, the net present value of the given cash flows, with a rate of return of 9% per year, is $213,736.75.
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1) Kathy is 12 years old and Ben is 16 years old. How many years ago was Ben three times as old as Kathy?
2) Find z if 1 4/11 of z is 45
3) Emma is 10 years old. She asked her father how old he is and he said, "When you are my age, I will be 70." How old is Emma's father?
4) Jame's dog Buddy is 2 years older than his cat Fluffy. Three years ago, Buddy was three times as old as Fluffy. How old are Buddy and Fluffy now?
5) The sum of x and y age is 60. In six years, y will be eight times as old as x will be. How old is x?
Would someone please explain and answer, I’m having a hard time trying figure it out.
9x-y= 29 and 9x + y = -29
Answer:
(0,-29) x = 0, y = -29
Step-by-step explanation:
Answer:
x= - 29 over 9 - 1 over 9y, y
Step-by-step explanation:
Mary can run 5 kilometers in 18.75 minutes.
At this rate, how long would it take to run 8 kilometers?
Answer:
30 minutes
Step-by-step explanation:
Find the unit rate (time per SINGLE kilometer).
5/5=1 18.75/5=3.75
Multiply 3.75 (unit rate) by 8.
3.75 x 8=30
YOU CAN ANSWER BOTH IF YOU WOULD LIKE BUT I ONLY NEED THE FIRST ONE PLEASE
A recent study of business travelers claims they spend an average of $41.00 per day on meals. As a test of this claim, a random sampling of 16 business travelers found they had spent an average of $45.00 per day with a standard deviation of $3.65. What are the critical values for a two-tailed t test of this claim with α = 0.05?Question 19 options:± 2.120± 2.131± 1.753± 1.746
The critical values for a two-tailed t test of this claim is ± 2.131.
From the question, we have
The null and alternative hypothesis are listed below. u = 41
Additional Hypothesis: 41
Region of Rejection
This test has two tails, with = 0.05 and df = 15.
T has a critical range between -2.131 and 2.131.
Therefore, if t =-2.131 or t =2.131, reject H0.
Hypothesis:
In statistics, hypothesis testing is used to identify the variance in the group of data that results from genuine variation. Based on the presumptions, the sample data are taken from the population parameter. The hypothesis can be divided into many categories. A hypothesis is described in statistics as a formal statement that explains the relationship between two or more variables belonging to the specified population. It aids the researcher in converting the stated issue into an understandable justification for the study's findings.
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what is the equation of y=x^3 with the given transformations
Each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.
1. Horizontal Shift (c):
If there is a horizontal shift, the equation becomes y = (x - c)^3.
For example, if there is a shift of 2 units to the right, the equation would be y = (x - 2)^3.
2. Vertical Shift (d):
If there is a vertical shift, the equation becomes y = x^3 + d.
For example, if there is a shift of 3 units upwards, the equation would be y = x^3 + 3.
3. Vertical Stretch (a):
If there is a vertical stretch or compression, the equation becomes y = a * x^3.
For example, if there is a vertical stretch by a factor of 2, the equation would be y = 2 * x^3.
4. Reflection (along the x-axis):
If there is a reflection along the x-axis, the equation becomes y = -x^3.
This flips the graph of the original function upside down.
5. Reflection (along the y-axis):
If there is a reflection along the y-axis, the equation becomes y = (-x)^3.
This mirrors the graph of the original function.
6. Combined Transformations:
If there are multiple transformations, we can apply them in the order they are given. For example, if there is a vertical stretch by a factor of 2 and a horizontal shift of 3 units to the right, the equation would be y = 2 * (x - 3)^3.
Remember, each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.
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Prove using rules of inference 1. If the band could not play rock music or the refreshments were not delivered on time, then the New Year's party would have been canceled and Alicia would have been angry. If the party were canceled, then refunds would have had to be made. No refunds were made. Therefore the band could play rock music. 2. If you are not in the tennis tournament, you will not meet Ed. If you aren't in the tennis tournament or if you aren't in the play, you won't meet Kelly. You meet Kelly or you meet Ed. It is false that you are in the tennis tournament and in the play. Therefore, you are in the tennis tournament.
The main answer for the first argument is that we cannot prove that the band could play rock music based on the given premises and rules of inference.
1. Let's assign the following propositions:
- P: The band could play rock music.
- Q: The refreshments were delivered on time.
- R: The New Year's party was canceled.
- S: Alicia was angry.
- T: Refunds were made.
2. The given premises can be expressed as:
(¬P ∨ ¬Q) → (R ∧ S)
R → T
3. To prove that the band could play rock music (P), we need to derive it using valid rules of inference.
4. Using the premises, we can apply the rule of modus tollens to the second premise:
R → T (Premise)
Therefore, ¬R.
5. Next, we can use disjunctive syllogism on the first premise:
(¬P ∨ ¬Q) → (R ∧ S) (Premise)
¬R (From step 4)
Therefore, ¬(¬P ∨ ¬Q).
6. Applying De Morgan's law to step 5, we get:
¬(¬P ∨ ¬Q) ≡ (P ∧ Q)
7. Therefore, we can conclude that the band could play rock music (P) based on the premises and rules of inference.
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The volume of the rectangular pyramid is 120 m^3. The height, h,
is 15 m, and the length of the base, I, is 6 m. What is the width
of the base, w, of the rectangular pyramid?
15
4
40
60
Hence, we can conclude that the value of the length of the rectangular base is 4 meters.
option b is correct.
'A rectangular pyramid is a type of pyramid with the base shaped like a rectangle but the sides are shaped like a triangle. A pyramid usually has triangular sides but with different bases.
According to the given problem,
Volume = 120 cubic meters
Height = 15 m
Width of rectangular base = 6 meter
Let the length be x,
\(v=\frac{lwh}{3}\)
\(120=\frac{x*15*6}{3}\)
360=90x
x=4 meter
Hence, we can conclude that the value of the length of the rectangular base is 4 meters.
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what does the highest point on a bell-shaped curve represent?
The highest point on a bell-shaped curve represents the peak or maximum value of the distribution. This point is known as the mode of the distribution.
In a bell-shaped curve, also known as a normal distribution or Gaussian distribution, the data is symmetrically distributed around the mean. The curve is characterized by a central peak, and the highest point on this peak corresponds to the mode.
The mode represents the most frequently occurring value or the value that has the highest frequency in the dataset. It is the point of highest density in the distribution.
The bell-shaped curve is often used to model naturally occurring phenomena and is widely applied in statistics and probability theory. The mode provides information about the most common or typical value in the dataset and is useful for understanding the central tendency of the distribution.
While the mean and median also have significance in a normal distribution, the highest point on the bell-shaped curve specifically represents the mode, indicating the value with the highest occurrence in the dataset.
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can somebody help me understand imaginary numbers???how do I simplify \( {i}^{13} \)how do I solve \( \sqrt{ - 49} \)
------------------------------------------------------------------------------------------------
\(\begin{gathered} \sqrt[]{-49} \\ \text{Use this property:} \\ \sqrt[]{a\cdot b}=\sqrt[]{a}\cdot\sqrt[]{b} \\ So\colon \\ \sqrt[]{-49}=\sqrt[]{49\cdot(-1)}=\sqrt[]{49}\cdot\sqrt[]{-1} \\ \text{Where:} \\ \sqrt[]{49}=7 \\ \sqrt[]{-1}=i \\ so\colon \\ \sqrt[]{49}\cdot\sqrt[]{-1}=7i \end{gathered}\)I need help identifying if this is a 90,180,270 degree transformation
change this recurring decimal into fraction
Answer:
\( \frac{3393939}{10000000} \)
Step-by-step explanation:
\(0.(3)3(9) = \frac{3393939}{10000000} \)
The mean of 5 numbers is 78. If 3 if the numbers are 72,86 and 82 and the other 2 numbers are equal. Find the total of the 5 numbers.
Answer:
sorry I can't understand the answer sorry
Kelsey knit a total of 6 centimeters of scarf over 2 nights. After 4 nights of knitting, how many centimeters of scarf will Kelsey have knit in total? Assume the relationship is directly proportional.
Answer:
\(12\) cm
Step-by-step explanation:
If Kelsey knit a total of \(6\) cm of scarf over \(2\) nights, then we know that she can knit \(\frac{6}{2}=3\) cm each night. Therefore, after \(4\) nights of knitting, Kelsey would have knit a total of \(3*4=12\) cm of scarf in total. Hope this helps!
(a) select one of the pairs of systems and write down its number. (b) for the pair selected, identify each system and state one function of that system. (c) explain how the two systems work together to help maintain homeostasis in an individual.
a. Pair 2 is selected.
b. Respiratory system, its function is to breathe. Digestive system, its function is to break down food into nutrients.
c. The two systems work together by sharing the region of the mouth and upper throat.
First picture in Pair 2 is Respiratory system, which its function is to breathe. Second picture in Pair 2 is Digestive system, which its function is to break down food into nutrients such as carbohydrates, fats and proteins. The respiratory system takes in oxygen from the air, and also gets rid of carbon dioxide. The digestive system absorbs water and nutrients from the food we consume.
How does the respiratory system and the digestive system work together?The respiratory system is mainly used to transport air, whilst the digestive system is used to transport fluids and solids, from water and food we eat. The respiratory and the digestive systems share the area of the mouth and upper throat, in which air, fluids, and solids can be mixed.
The digestive system does homeostasis by ensuring that the stomach area has the right pH balance. The body uses both positive and negative mechanisms to perform homeostasis. If the body detects an imbalance, the other systems work together to counterbalance and restore the right equilibrium.
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Franklin's office just started a new recycling program this year. They aim to recycle 7 kilograms of paper each week. Write an equation that shows the relationship between the number of weeks Franklin's office is on the recycling program, x, and the total number of kilograms of paper recycled, y
Answer:
7x=y
Step-by-step explanation:
7x=y
7 times x(#of weeks)= y (paper recycled)
Hence, the relationship between the number of weeks Franklin's office is on the recycling program is \(7x=y\).
What is the equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here given that,
Franklin's office just started a new recycling program this year. They aim to recycle \(7\) kilograms of paper each week.
So, it would be
\(7x=y\)
Hence, the relationship between the number of weeks Franklin's office is on the recycling program is \(7x=y\).
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At a football match, 25% of the spectators wore red T-shirts and 3750 spectators did not wear red T-shirts. How many spectators were there
Answer:
5000
Step-by-step explanation:
Given data
25% wore red-T shirt
75% did not wear red T-shirt= 3750
Let the total spectator be represented by 100%
Let the total be x
75/100*x= 3750
0.75x= 3750
x= 3750/0.75
x= 5000
Hence thte total number of spectators is 5000
What is the value of y when x= -1 ?
Answer:
If y = x then when x = -1 then y = -1
Step-by-step explanation:
Can someone plz help me it’s due at 11:30 plz help!!!
__:11= 1/3 :6
Pls fill in the blank number
Answer:
x=11/18 or 0.61
Step-by-step explanation:
Let x represent the blank
\(As\ x:11::1/3:6\ form\ a\ proportion,\ we\ may\ use\ the\ ratio\ method\ to\ find\ x.\\\\Hence,\\x:11::1/3:6\\6x=1/3*11\\x=11*1/3*1/6\\x=11*1/18\\x=11/18\)
Write an equation in slope-intercept form for the line that has the given slope andcontains the point.
m= 2 :(-6,4)
Answer:
y = 2x+1
Step-by-step explanation:
Which point results when the point (−100, −100) is rotated 180° around the point (100, 100)? A) (200, 200) B) (300, 300) C) (−200, −200) D) (−300, −300) E) None of these.
Answer:
answer: A
Step-by-step explanation:
-100 -100, rotated by 180 would be the opposite, 100 100
Answer:
A
Step-by-step explanation:
need help asap pls!
Find the radius, diameter, area, and circumference of the circle
shown:
Step-by-step explanation:
Diameter =30
radius=30/2=15
area =πr²
=π×15²
= π×(15)(15)
=225π cm² or 706.95cm²
circumference C=πD
C=3.142×30cm
C=30πcm or 94.26cm