Given the image of the quadrilateral, we are asked to find some slopes and the length of the sides.
Explanation
Part A
The formula for slope is given as
\(m=\frac{y_2-y_1}{x_2-x_1}\)1) Slope Of MJ
\(\begin{gathered} x_1,y_1=(-4,-4) \\ x_2,y_2=(2,1) \\ m=\frac{1-(-4)}{2-(-4)}=\frac{1+4}{2+4}=\frac{5}{6} \end{gathered}\)Answer: 5/6
2) Slope of ML
\(\begin{gathered} x_{1}, y_{1}=(-4,-4) \\ x_2,y_2=(2,-6) \\ m=\frac{-6-(-4)}{2-(-4)}=\frac{-6+4}{2+4}=-\frac{2}{6} \end{gathered}\)Answer: -2/6
3) Slope Of Lk
\(\begin{gathered} x_1,y_1=(2,-6) \\ x_2,y_2=(8,-1) \\ m=\frac{-1-(-6)}{8-2}=\frac{-1+6}{6}=\frac{5}{6} \end{gathered}\)Answer: 5/6
4) Slope of JK
\(\begin{gathered} x_1,y_1=(2,1) \\ x_{2}, y_{2}=(8,-1) \\ m=\frac{-1-1}{8-2}=-\frac{2}{6} \end{gathered}\)Answer: -2/6
verified A package of 6 pairs of insulated socks costs 47.34 .what is the unit price of the pairs of sock
If your wondering how much each pair costs individually then its 7.89 per pair
Answer:
7.89
Step-by-step explanation:
you divide 47.34 by 6 because each unit has six pairs if each unit has it spells out of a pair so you divide 47.34 ÷ 6 you get tthe7.89
Of all the soft drink consumers in a particular sales region, 30% prefer Brand A and 70% prefer Brand B. Of all these soft drink consumers, 20% prefer Brand A and are female, and 40% prefer Brand B and are female. What is the probability that a randomly selected consumer is female, given that the person prefers Brand A? A. 0.18 B. 0.21 C. 0.34 D. 0.67
Answer:
The answer to this question should be D. 0.67
Hope this helped.
What were the rental rates?
answer/explanation:
d = daily rental chargem = the charge per mileJon rented a car from a company that charged a daily rental fee and a mileage charge. He rented the car for 6 days and drove 300 miles and was charged $285.6d + 300m = 285His friend Amanda later rented the same car for 7 days and drove 260 miles and was charged $310.7d + 260m = 310by solving the system of equations6d + 300m = 2857d + 260m = 310we findd = $35m = $0.25the daily rental charge is $35.the company charge per mile is $0.25.hope this helps
If a = 3i - 2j vectors and a is perpendicular to b, find b whose length along Y axis is 4 units
If vector a is perpendicular to vector b, then their dot product is zero:
a · b = 0
We can write vector b as:
b = x i + 4 j + z k
where x and z are unknown coefficients.
To find b, we need to solve for x and z such that the dot product of a and b is zero. We have:
a · b = (3i - 2j) · (x i + 4 j + z k)
= 3x - 8 + 0
= 3x - 8
Since a · b = 0, we get:
3x - 8 = 0
Solving for x, we get:
x = 8/3
Therefore, vector b is:
b = (8/3) i + 4 j + z k
where z is any real number.
please help and explain ASAP !!
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Answer:
I did the solution there I hope it helps
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a tuxedo rental service charges $150 flat fee for a suit plus $50 per additinal day. The total cost of the tuxedo is $300. How many days was the tuxedo rental for?
The tuxedo was rented for 4 days.
Let's start by assigning variables to the unknowns. Let "x" be the number of additional days rented, and "d" be the total number of days rented (including the first day).
From the given information, we know that the flat fee for the rental is $150, so the cost of the additional days is the total cost minus the flat fee, which is $300 - $150 = $150. We also know that the cost for each additional day is $50. Therefore, we can set up the equation:
$150 + $50x = $300
Subtracting $150 from both sides, we get:
$50x = $150
Dividing both sides by $50, we get:
x = 3
So the tuxedo was rented for 3 additional days, making the total number of days rented:
d = 1 + 3 = 4
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Select the correct answer. Consider the function f(x) = 2x and the function g(x) shown below. How will the graph of g(x) differ from the graph of f(x)? gx+2f(x)=2(2>x) A. The graph of g(x) is the graph of f(x) stretched horizontally by a factor of 2. B. The graph of g(x) is the graph of f(x) shifted to the right by a factor of 2. C. The graph of g(x) is the graph of f(x) stretched vertically by a factor of 2. D. The graph of g(x) is the graph of f(x) shifted up by a factor of 2.
Answer:
the answer to your question is A
Step-by-step explanation:
The graph of g(x) is the graph of f(x) stretched horizontally by a factor of 2.
Option A is correct.
What is a Function?A mathematical phrase that establishes the link between an independent variable and a dependent variable (the dependent variable).
As per the given data:
We are given the function f(x) and the function g(x), also we are given the equation which related the functions f(x) and g(x).
We have to find the transformation that f(x) will undergo in order to get the graph of the function g(x).
From the given data:
f(x) = 2x
g(x) + 2f(x) = 2
∴ g(x) = 2 - 2f(x)
Now from the above equation we can clearly see that when 2 will be multiplied in f(x) its graph will be stretched horizontally by a factor of 2.
The graph of g(x) is the graph of f(x) stretched horizontally by a factor of 2.
Hence, The graph of g(x) is the graph of f(x) stretched horizontally by a factor of 2.
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Quinn bought a bouquet of flowers as a surprise for her grandfather. She had expected it would cost $15 but her prediction was 50% more than the actual cost of the flowers. What was the actual cost of the flowers?
The trinomial 2x2 + 13x + 6 has a linear factor of x + 6.
2x2 + 13x + 6 = (x + 6)(?)
What is the other linear factor?
A. x + 3
B. x + 6
C. 2x + 1
D. 2x + 3
Answer:
C (2x+1)
Step-by-step explanation:
I hope this helps!
Find the area and the circumference of a circle with radius .
Use the value 3.14 for , and do not round your answers. Be sure to include the correct units in your answers.
The area of the circle is 78.5 square yards and the circumference of the circle is 31.4 yards
How to determine the area?The radius of the circle is given as:
r = 5 yard
The area is calculated using
A = pi r^2
Substitute the known values in the above equation
A =3.14 * 5^2
Evaluate the exponent
A =3.14 * 25
Evaluate the product
A =78.5
Hence, the area of the circle is 78.5 square yards
How to determine the circumference?The radius of the circle is given as:
r = 5 yard
The circumference is calculated using
C = 2pi r
Substitute the known values in the above equation
C =2 * 3.14 * 5
Evaluate the product
C = 31.4
Hence, the circumference of the circle is 31.4 yards
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At a little-known vacation spot, taxi fares are a bargain. A 64-mile taxi
ride takes 72 minutes and costs $57.60. You want to find the cost of a 49-mile taxi ride. What unit
price do you need?
We need unit price per mile
Spare way
But we can solve it through ratios if time is same
64/57.6=49/x1.12=49/xx=49/1.12x=$43.75Answer:
$44.10
Step-by-step explanation:
Method 1Given:
64 miles = $57.60To find the cost per mile, divide the total given cost by the given number of miles:
⇒ Cost per mile = $57.60 ÷ 64 = $0.90
To find the cost of a 49 mile tax ride, multiply the cost per mile by 49:
⇒ Cost of 49 mile tax ride = $0.90 × 49 = $44.10
Method 2We can use ratios of cost to miles to find the solution.
Let x = cost of a 49 mile taxi ride
\(\begin{aligned}\sf \$57.60:64 & = \sf x:49\\\sf \dfrac{57.6}{64} & =\sf \dfrac{x}{49}\\\sf 57.6(49) & = \sf 64x\\\sf 2822.4 & = \sf 64x\\ \sf x&= \sf \dfrac{2822.4}{64}\\ \sf x & = \sf \$44.10\end{aligned}\)
Inflation is causing prices to rise at a rate of 10% per year. For an item that costs $300 today, what will be in 4 years?
Answer:
I'd say 439.3!
Step-by-step explanation:
I'm so sorry if this is wrong!
MAX POINTS!!!!! ARCS & ANGLES NEED TO KNOW HOW TO DO IT. ANSWERS ALSO VERY MUCH APPRECIEATED !!!FRESHMAN CLASS GEOMETRY!!!
Answer:
#1
12x + 5 = 1/2(83 + 95) 12x + 5 = 8912x = 84x = 7#2
9x + 7 = 1/2(198 + 7x - 8)18x + 14 = 198 + 7x - 811x = 176x = 16#3
15x - 8 = 1/2(16x + 1 + 5x + 19)30x - 16 = 21x + 209x = 36x = 4#4
20x - 4 = 360 - 2*7220x = 220x = 11#5
13x - 1 = 2(6x + 11)13x - 1 = 12x + 22x = 23#6
46 = 1/2(21x - 5 - x - 23)20x - 28 = 9220x = 120x = 6#7
6x - 21 = 1/2(13x - 3 - 3x - 11)12x - 42 = 10x - 142x = 28x = 14#8
2x + 1 = 1/2(9x - 14 - 4x + 7)4x + 2 = 5x - 7x = 9#9
9x - 4 = 180 - 769x - 4 = 1049x = 108x = 12Q5 photo attached thank you
quesrtiuon 5
A hippopotamus weighs 2 tons and a crocodile weighs 20 lbs.
How many times as much as the hippopotamus does the crocodile weigh?
The crocodile weighs 0.005 times as much as the hippopotamus.
To determine how many times as much as the hippopotamus a crocodile weighs, we need to compare the weights of both animals. However, they are currently in different units, so we need to convert them to a common unit.
We can convert the weight of the hippopotamus from tons to pounds by multiplying by 2,000, since there are 2,000 pounds in a ton. This gives us:
Hippopotamus weight = 2 tons × 2,000 pounds/ton = 4,000 pounds
Now that both weights are in pounds, we can compare them. To determine how many times as much as the hippopotamus the crocodile weighs, we can divide the weight of the crocodile by the weight of the hippopotamus. This gives us:
Crocodile weight / Hippopotamus weight = 20 pounds / 4,000 pounds = 0.005
Alternatively, we could say that the hippopotamus weighs 200 times as much as the crocodile.
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Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95
The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.
The correct answer choice is option B.
How much cheaper is the car washes Malcolm orders than the car washes Martha's order?Malcolm's gift card = $50.
Cost Malcolm's car wash per visit = $7
Martha's gift card = $180
Cost Martha's car wash per visit = Difference between gift card balance of first and second visit
= $180 - $160
= $20
How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7
= $13
Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13
The complete question is attached in the diagram.
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Question 5 of 10
Describe the shape of the distribution.
OA. It is bimodal.
OB. It is skewed.
C. It is symmetric.
D. It is uniform.
Answer:
The shape of a distribution is described by its number of peaks and by its possession of symmetry, its tendency to skew, or its uniformity. (Distributions that are skewed have more points plotted on one side of the graph than on the other.) PEAKS: Graphs often display peaks, or local maximums. Step-by-step explanation: More positive space than negative.
Step-by-step explanation:
The shape of the distribution is skewed.
What is Distribution?The distribution of values in a field is described by a statistical distribution, often known as a probability distribution. In other words, the statistical distribution identifies the typical and unusual values. The bell-shaped normal distribution is one of many varieties of statistical distributions.
We have shape for the distribution.
The number of peaks in a distribution, along with its symmetry, inclination to skew, or homogeneity, all help to determine its shape.
So, the accumulation is on left side then the distribution is Right skewed.
Thus, the shape of the distribution is skewed.
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What is the vertical distance between the points C(2, -0.8) D(2,1.2)
Answer:
2 units
Step-by-step explanation:
vertical distance will be the magnitude of the difference in the 'y' coordinates
| -.8 - 1.2| = 2 units
One angle measures 27° more than 2 times another. If the two angles are complementary, find the measures of the angles.
A. 21°; 69°
B. 26°; 64°
C. 31°; 59°
D. 23°; 67°
Answer:
A. 21°, 69°
Step-by-step explanation:
If you work by process of elimination all you have to do is take 27 away from the bigger degree of the two and see if it is 2x as much as the smaller degree.
Ex.
1. 69°-27°= 42°, which is 2x as many as 21°.
PLEASE HELP URGENT!!! Cannot figure this out, due tonight.
Answer:
38, 5
Step-by-step explanation:
f(8) = 38
f(x) = 2, x = 5
system of measure that added prefixes to change the unit’s equivalence??
Answer:
The metric system is an alternative system of measurement used in most countries, as well as in the United States. The metric system is based on joining one of a series of prefixes, including kilo-, hecto-, deka-, deci-, centi-, and milli-, with a base unit of measurement, such as meter, liter, or gram.
Describe all solutions to zw - 3w - 2iw + 4z = 7iw + 5w + 11iz - 13 + 15i
where z and w are complex numbers.
Answer:
Step-by-step explanation:
Eighty percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that are discovered, 63% have an emergency locator, whereas 89% of the aircraft not discovered do not have such a locator. Suppose a light aircraft has disappeared. (Round your answers to three decimal places.) (a) If it has an emergency locator, what is the probability that it will not be discovered? (b) If it does not have an emergency locator, what is the probability that it will be discovered?
Answer:
a) P(B'|A) = 0.042
b) P(B|A') = 0.625
Step-by-step explanation:
Given that:
80% of the light aircraft that disappear while in flight in a certain country are subsequently discovered
Of the aircraft that are discovered, 63% have an emergency locator,
whereas 89% of the aircraft not discovered do not have such a locator.
From the given information; it is suitable we define the events in order to calculate the probabilities.
So, Let :
A = Locator
B = Discovered
A' = No Locator
B' = No Discovered
So; P(B) = 0.8
P(B') = 1 - P(B)
P(B') = 1- 0.8
P(B') = 0.2
P(A|B) = 0.63
P(A'|B) = 1 - P(A|B)
P(A'|B) = 1- 0.63
P(A'|B) = 0.37
P(A'|B') = 0.89
P(A|B') = 1 - P(A'|B')
P(A|B') = 1 - 0.89
P(A|B') = 0.11
Also;
P(B ∩ A) = P(A|B) P(B)
P(B ∩ A) = 0.63 × 0.8
P(B ∩ A) = 0.504
P(B ∩ A') = P(A'|B) P(B)
P(B ∩ A') = 0.37 × 0.8
P(B ∩ A') = 0.296
P(B' ∩ A) = P(A|B') P(B')
P(B' ∩ A) = 0.11 × 0.2
P(B' ∩ A) = 0.022
P(B' ∩ A') = P(A'|B') P(B')
P(B' ∩ A') = 0.89 × 0.2
P(B' ∩ A') = 0.178
Similarly:
P(A) = P(B ∩ A ) + P(B' ∩ A)
P(A) = 0.504 + 0.022
P(A) = 0.526
P(A') = 1 - P(A)
P(A') = 1 - 0.526
P(A') = 0.474
The probability that it will not be discovered given that it has an emergency locator is,
P(B'|A) = P(B' ∩ A)/P(A)
P(B'|A) = 0.022/0.526
P(B'|A) = 0.042
(b) If it does not have an emergency locator, what is the probability that it will be discovered?
The probability that it will be discovered given that it does not have an emergency locator is:
P(B|A') = P(B ∩ A')/P(A')
P(B|A') = 0.296/0.474
P(B|A') = 0.625
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Evaluate the discriminant for the equation. Determine the number of real solutions 6x^2 + x + 3=0
The given equation is
\(6x^2+x+3=0\)it is of the from
\(ax^2+bx+c=0\)where a=6 , b=1 and c=3
Consider the quadratic formula
\(x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}\)Recall that the discriminant of the quadratic equation is the part of the underneath square root of the formula
\(discriminant=b^2-4ac\)Substitute a=6,b=1 and c=3, we get
\(discriminant=1-4\times6\times3=-71<0\)\(\text{If }discriminant=b^2-4ac<0\text{ then the }quadratic\text{ }equation\text{ has no real solutions.}\)Discriminant=-71
Hence there is no solution.
If you divide 60 liters into 10 parts, there will be 6 liters each. How many liters would there be if you had 7 of these groups?
Answer:
I'm pretty sure 70 liters
Step-by-step explanation:
because 60÷10=6
so 70÷10=7
What is the best definition for “sample” as used in statistics?the entire population of the groupa part of the population that represents the entire populationthe difference between the maximum and minimum values observeda measure of how much the values within a population vary
The best definition of a sample is a part of the population that represents the entire population.
Option B is the correct answer.
What is a sample?It is a small part of a larger group to determine some attributes of the large group.
We have,
The entire population of the group.
This is not a sample.
A part of the population that represents the entire population.
This is a sample.
The difference between the maximum and minimum values observed.
This is range.
A measure of how much the values within a population vary.
This is variance.
Thus,
A part of the population that represents the entire population is a sample.
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34,977 ×2,344 is even are odd number
Answer:
The answer to 34,977* 2,344 is 81986088. Therefore, it is an even number.
Step-by-step explanation:
what is 2x to the power of 2
helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
2x^2 = (2 x 2) x (2 x 2)
= 4 x 4
= 16
I hope this helps you
A group of five students have a mean test score of "34.2." Another student has a score of 50. What is the mean average of all "six" students?
Answer:
The mean average of all "six" students is 36.83.
Step-by-step explanation:
Mean:
The mean is the sum of all scores divided by the number of scores.
A group of five students have a mean test score of "34.2." Another student has a score of 50.
This means that the sum is given by:
\(S = 5*34.2 + 50 = 171 + 50 = 221\)
What is the mean average of all "six" students?
Sum of 6 students is 221. So
\(M = \frac{221}{6} = 36.83\)
The mean average of all "six" students is 36.83.