Five triangles are shown on the coordinate plane.
Which triangle is a possible reflection of triangle A?
Answer:
answer choice c!
Step-by-step explanation:
hope this helps!
A reflection is when you "flip" the shape across the axis.
Choice C would work because you can flip triangle a and make d over the x axis
One difference in the stepping-stone method compared to the northwest−corner and intuitive methods is:________.
One difference in the stepping-stone method compared to the northwest-corner and intuitive methods is that the stepping-stone method uses a more systematic and iterative approach to find an optimal solution for transportation problems.
The stepping-stone method is a technique used to solve transportation problems, which involve allocating resources from sources to destinations while minimizing costs or maximizing profits. In contrast to the northwest-corner and intuitive methods, the stepping-stone method employs a more structured and iterative approach.
The northwest-corner method starts by allocating shipments to the top-left corner of the transportation tableau and then distributes the remaining shipments based on the available capacities. It does not consider the optimality of the initial solution and may not provide the best solution.
The intuitive method involves making allocations based on intuition and judgment without following a specific algorithm. While it may be quick and simple to use, it does not guarantee an optimal solution and can be prone to human bias and error.
In contrast, the stepping-stone method systematically examines the opportunity costs associated with moving units between unoccupied cells in the transportation tableau. It evaluates the impact of such movements on the overall cost or objective function and continues to adjust the allocations until reaching an optimal solution. By considering the costs associated with each potential movement, the stepping-stone method aims to find the most efficient allocation of resources within the given constraints.
Overall, the stepping-stone method offers a more rigorous and systematic approach to solving transportation problems, ensuring that the solution is optimized based on cost or objective function. It takes into account the interdependencies between allocations and iteratively improves the solution until an optimal one is reached.
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graph the equation, y=x/3-4
Step-by-step explanation:
With the equation
y
=
|
−
x
+
3
|
−
4
, we know that the term inside the absolute value mark will never be less than zero, which means the smallest
y
can be is
y
=
−
4
. This value is achieved with
|
−
x
+
3
|
=
0
, putting
x
=
3
. So that is our first point,
(
3
,
−
4
)
.
We're dealing with
x
terms (versus
x
2
or
√
x
or any other form of
x
), so the graph coming off
(
3
,
−
4
)
will be lines. Since there the coefficient of the
x
term is 1, the slope of those lines will be 1 and
−
1
(with the x term inside the absolute value, we look at both
±
1
).
The standard graph for an absolute value graph is for it to be in the shape of a V. And so we can expect our graph to have points
(
4
,
−
3
)
and
(
2
,
−
3
)
- and we can plug in those values to prove it:
y
=
|
−
x
+
3
|
−
4
−
3
=
|
−
4
+
3
|
−
4
−
3
=
|
−
1
|
−
4
−
3
=
1
−
4
−
3
=
−
3
and
−
3
=
|
−
2
+
3
|
−
4
−
3
=
|
1
|
−
4
−
3
=
1
−
4
−
3
=
−
3
The graph itself will look like this:
graph{abs(-x+3)-4 [-10, 10, -5, 5]}
Red hair (autosomal recessive) is found in approximately 4% of the people in Norway. if we assume that the Norwegian population is in Hardy-Weinberg equilibrium with respect to hair color: A) what are the frequencies of the red hair (r) and non-red hair (R) alleles? B) what is the frequency of heterozygotes? C) what is the proportion of matings that CAN NOT have a child with red hair?
Since the frequency of red hair (r) in the Norwegian population is 4%, we can use the Hardy-Weinberg equation to find the frequency of the red hair (r) allele.
Let p be the frequency of the dominant non-red hair (R) allele, and q be the frequency of the recessive red hair (r) allele. Then, p + q = 1 and q = 0.04. Solving for p, we get p = 0.96.
A) The frequency of heterozygotes (Rr) can be found using the Hardy-Weinberg equation. The frequency of the homozygous dominant (RR) genotype is p^2 = 0.96^2 = 0.9216, and the frequency of the homozygous recessive (rr) genotype is q^2 = 0.04^2 = 0.0016.
Therefore, the frequency of heterozygotes is 2pq = 2(0.96)(0.04) = 0.0768, or approximately 7.68%.
B) The proportion of matings that can NOT have a child with red hair is given by the square of the frequency of the dominant non-red hair (R) allele, or p^2 = 0.96^2 = 0.9216. This means that approximately 92.16% of the population is capable of having only non-red-haired children.
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pls help if you can asap!!!!
Answer: x= 6
Step-by-step explanation:
Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.
You can see they do not look the same so they add up to equal 180
12x + 3 +105 = 180
12x + 108 = 180
12x = 72
x = 6
Karla rode her bicycle 135 miles in 9 weeks, riding the same distance each week. Brad rode his bicycle 102 miles in 6 weeks, riding the same distance each week. Which statement correctly compares the number of miles per week they rode?
pls solve fast pls help
Answer:
The Answer should be 6%
Step-by-step explanation:
Given,
MP =1500 and Discount =10%
So, SP = 1500 × 90% =1350
We know, profit = \(\frac{sp-cp}{cp}\) × 100%
=>20 =\(\frac{1350-cp}{cp}\) × 100
=>CP = 1125
Now, if profit =12%
then, SP' = 1260 ;(using previous equation for profit and CP=1125)
So, SP' = MP × (100 -Discount )
∴ Discount = 16% ;(SP' = 1260 and MP = 1500)
So, Discount should be increased = 16% - 10% = 6%
Pls mark this as the brainliest
∼A⊃∼H E ¬∼A E⊃∼H DD--valid. MP--valid. CD-valid. Invalid. HS-valid.
The argument is valid with the use of MP. Therefore, the correct answer is option B.
Given: (∼A⊃∼H) Premise E ¬∼A Premise
To prove: E⊃∼H Conclusion
This is an example of an implication statement, which is a type of logical argument that is used to compare two statements and determine whether the first statement implies the other.
Using Modus Ponens rule of Inference (MP):
Modus Ponens (MP) states that if premise 1 is "if p then q" and premise 2 is "p", then the conclusion must be q.
In this case, the premises are:
1. ∼A⊃∼H
2. ¬∼A
Therefore, the conclusion can be inferred to be ∼H.
Therefore, the correct answer is option B.
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\( \sqrt{8 {}^{4} } \)
Answer:
64 will be your answer!!
Step-by-step explanation:
hope it helps..
Thanks again!!
Complete the area model representing the polynomial x2 − 11x + 28. What is the factored form of the polynomial? Use the model to rewrite the expression.
Answer:
\(\boxed{\sf \ \ \ (x-4)(x-7) \ \ \ }\)
Step-by-step explanation:
Hello,
from the expression we can say that the sum of the two zeroes is 11 and the product is 28
4 + 7 = 11
4 * 7 = 28
so we can write
\(x^2-11x+28=(x-4)(x-7)\)
hope this helps
Lauren drove 232 miles in 4 hours if she continued at the same rate how far would she travel in 15 hours
Please help. I thought I worked it out correctly but the answer is apparently wrong
Answer:
ready-steady paint
Step-by-step explanation:
if he needs 12 tins, and purchased from paint -O mine, he would spend (12/3) X 7.50 = 4 x 7.50 = £30
from ready steady, he can buy 4 for £11. he needs 12.
so he will spend (12/4) X 11 = 3 X 11 = £33. but he can get 15% off. 15% off is the same as multiplying by 0.85.
33 X 0.85 = £28.05.
so he his better purchasing from ready steady paint
HELP ME PLZZ I AM GIVING 100 POINTS FOR THIS!!
Answer:
12.5% chance. it's a 50% chance each time, which is half, so you divide it in half 3 times, 12.5%.
Step-by-step explanation:
Answer: I hope I'm right
Step-by-step explanation:
12.5%
Woodworkers Alex and Brandon make precision pieces for toys. Each toy requires four 9-inch long sticks. Alex cuts four sticks one at a time, and their lengths are independent. Alex’s sticks have mean length 9 inches with a standard deviation 0.17 inches. Brandon clamps four sticks together and cuts them all at once, so that they all have the same length. Brandon’s sticks also have a mean length of 9 inches with a standard deviation of 0.17 inches. Brandon’s four sticks are laid end-to-end. What is the mean of the total length? What is the standard deviation of the total length? The mean of the total length is inches. The standard deviation of the total length is inches.
The mean of the total length is 36 inches, and the standard deviation is 0.17 inches. This means that on average, the total length of the sticks will be 36 inches, and there will be a variation of approximately 0.17 inches around this mean length.
The mean of the total length for both Alex and Brandon can be determined by multiplying the mean length of a single stick by the number of sticks required for each toy. In this case, each toy requires four 9-inch long sticks.
Mean of the total length for both Alex and Brandon: 4 sticks * 9 inches = 36 inches.
Since both Alex and Brandon have sticks with the same mean length and standard deviation, the standard deviation of the total length for both of them remains the same.
Standard deviation of the total length for both Alex and Brandon: 0.17 inches.
Therefore, The mean of the total length is 36 inches, and the standard deviation is 0.17 inches. This means that on average, the total length of the sticks will be 36 inches, and there will be a variation of approximately 0.17 inches around this mean length.
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Finite geometric series:
Hi, I want to ask a question, is about... for example, take the sequence 1,2,4,8,... Notice that each number is twice the value of the previous number. So, a number in the sequence can be represented by the function f(n) = 2^n-1. One way to write the sum of the sequence through the 5th number in the sequence is E^5 n-1^2n-1. This equation can also be written as S5 = 2^0 + 2^1+2^2+2^3+2^4. If we multiply this equation by 2, the equation becomes 2(S5) = 2^1+2^2+2^3+2^4+2^5.
What happens if I subtract the two equations and solve for S5? Can I use this information to come up with a way to find any geometric series Sn in the form E^a n-1^bn-1?
Answer:
You can, however i’m warning you it will definetly be difficult
Step-by-step explanation:
The length of the base of an isosceles triangle is x. The length of a leg is 3x + 2. The perimeter of the triangle is 39. Is there enough information to solve for x? if so, find x.
The length of the base of an isosceles triangle is 7
as given in the question,
the length of base be x
the length of the leg is 3x+2
the perimeter of the isosceles triangle is 39
Therefore, an isosceles triangle which has two equal sides or legs as well as two equal angles. The Greek words iso means same and skelos are the source of the name leg. An equilateral triangle is one in which all of its sides are equal, whereas a scalene triangle is one in which none of its sides are equal.
If the length of
In an isosceles triangle,
The length of the two legs or sides is the same. The other leg is therefore 3x+2 if one leg is the other is also 3x+2.
The triangle's three sides add up to its perimeter
that is
=> x + (3x+2) + (3x+2) = 39
=> 7x + 4 = 39
=> 7x = 35
=> x = 5
the value of x is 7
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The length of the base of an isosceles triangle is x = 7
Yes, there is enough information to solve for x. The perimeter of an isosceles triangle is the sum of all its sides. Since the perimeter is given and two sides are known, it can be expressed as follows:
x + (3x +2) + (3x +2) = 39
Solving for x,
5x + 4 = 39
5x = 35
x = 7
Therefore, the length of the base is 7. This can be verified by substituting the value of x into the equation for the perimeter, which would yield a result of 39.
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Please help ( if you want)
solve 2 sin 0 = sin 20 for 0 degree 0 more than or equal 0 more than or equal 180
Step-by-step explanation:
Im use x instead of theta.
\(2 \sin(x) = \sin(2x) \)
\(2 \sin(x) = 2 \sin(x) \cos(x) \)
\(1 = \cos(x) \)
\(x = 0\)
HELP QUICK
(question in picture)
Answer:
Step-by-step explanation:
There’s a total of 10+16+20+18 = 64 candies.
There’s 10 red candies.
10 / 64 = 0.15625
Rounded: 0.2
Forest fires are most likely to occur when the air temperature (t) is greater than 60°F.
Write an inequality for the situation.
please help me asap!!!!!!!!!!!!!!!!!!!!!!!!!
The temperature (t) needs to be greater than 60
So you would have t > 60
Answer:
t > 60
Explanation:
In order to answer this question we must determine two things: what two terms will be compared in the inequality and what symbol we will use to compare them. Let's start by finding, 'what two terms will be compared.'
Read the following quote from the problem...
"Forest fires are most likely to occur when the air temperature (t) is greater than 60°F."
Since the temperature (t) must be greater than sixty degrees to start a forest fire, these are the two terms that we will be comparing in the inequality.
Now, let's find out what symbol we will use to compare the terms.
Because the problem uses the phrase "greater than" to represent the comparison between the temperature of the air and an average of sixty degrees, the symbol we will be using in the inequality is the greater than sign, >.
Finally, use all the facts we have established to write the inequality.
· t = air temperature
· > = greater than
· 60 = max temp. before forest fire occurs
Therefore, the inequality for the solution is t > 60.
What is the value of x in the figure below? In this diagram, ABD ~ CAD.
A. 16/5
B. 16
C. √160
D. √5
E. 8
F. 25/4
Answer:
F an amazing result.
Step-by-step explanation:
I'm sure I didn't do this the way it was intended, but I think I got it right.
First of all, we have to agree that CAB is marked as a right angle. If you do not agree, leave a note.
Step One
Find the length of AC
BC = 16
AB = 10
AC^2 = BC^2 - AB^2
AC^2 = 16^2 - 10^2
AC^2 = 256 - 100
AC^2 = 156
AC = SQRT(156)
AC = SQRT(4*13 * 3)
AC = 2 SQRT(13)
Step Two
Find the height (AD)
There are two ways to find the area of the large triangle ABC
Area = 1/2 * 16 * AD and
Area = 1/2 AC * 10 The two legs.
Since these areas must be equal, equate them. You are looking for AD
16 * AD = 2*sqrt(39) * 10 Divide by 16
AD = 20* sqrt(39)/16
AD = 5 * sqrt(39) / 4
Step 3
Find x or DB
DB^2 = 10^2 - [(5 *sqrt(39)/4]^2
DB^2 = 100 - 25*39/16
DB^2 = 100 - 60.9375
DB^2 = 39.0625
DB = SQRT(39.0625)
DB = 6 1/4
6 1/4 is the same thing as 25/6 which is F
Answer:
F. 25/4
Step-by-step explanation:
just took the quiz
Make your angle measures correct to the nearest degree and side measures to 1 decimal place.
The value of angle Z= 39°, line XY= 21.9 and line XZ= 34.7
What is a right-angled triangle?A right-angled triangle is a type of triangle which as one of it's sides equal to 90°. Since angle Y is 90°, then ∆ABC is a right-angled triangle
angle Z = 180-(90+51)
angle Z= 180- 141= 39°
using trigonometry ratio
tan51 = 27/XY
XY= 27/tan51
XY= 27/1.2
XY= 21.9
using Pythagoras theorem
XZ²= 21.9²+27²
XZ²= 1208.6
XZ= √1208.6
XZ= 34.7
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Find the weighted average of a data set where 20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.
The weighted average of a data set is 36.
Here,
Given data set;
20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.
We have to find the weighted average of a data set.
What is Weighted Average?
Weighted average is a calculation that takes into account the varying degrees of importance of the numbers in a data set.
Now,
Given data set;
20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.
The weighted average is given by the formula;
\(x = \frac{f_{1} x_{1} + f_{2} x_{2}+ f_{3} x_{3}+ ...... f_{n} x_{n}}{f_{1} +f_{2} + f_{2}}\)
Hence,
The weighted average of a data set;
x = 20 x 3 + 40 x 5 + 50 x 2 / 3+5+2
x = 360/10 = 36
Hence, The weighted average of a data set is 36.
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twenty-four minus the product of three and two
Answer:
18
Step-by-step explanation:
24 - (3 * 2)
I set z=t=0(x,y,z,t)
and I got a partial solution (0,1,0,0).
I solved two homogeneous matrices once for z=1
and t=0
, then for z=0
and t=1
and I got two solutions (1,1,1,0)
and (1,1,0,1).
Then, I got (0,1,0,0)+a∗(1,1,1,0)+b∗(1,1,0,1
)
Therefore, all possible results are (0,1,0,0),(1,0,1,0),(1,0,0,1),(0,1,1,1)
Would this be correct?
The correct set of possible results would be (0, 1, 0, 0), (1, 2, 1, 0) and (1, 2, 0, 1).
Your approach seems to be correct, but there seems to be a minor mistake in your final list of possible solutions. Let's go through the steps to clarify.
Given the initial conditions z=t=0, you obtained a partial solution (0,1,0,0).
Next, you solved the homogeneous equations for z=1 and t=0, which resulted in a solution (1,1,1,0).
Similarly, solving the homogeneous equations for z=0 and t=1 gives another solution (1,1,0,1).
To find the general solution, you combine the partial solution with the solutions obtained in the previous step, using parameters a and b.
(0,1,0,0) + a(1,1,1,0) + b(1,1,0,1)
Expanding this expression, you get:
(0+a+b, 1+a+b, 0+a, 0+b)
Simplifying, you obtain the following set of solutions:
(0, 1, 0, 0)
(1, 2, 1, 0)
(1, 2, 0, 1)
Therefore, the correct set of possible results would be:
(0, 1, 0, 0)
(1, 2, 1, 0)
(1, 2, 0, 1)
Note that (0, 1, 1, 1) is not a valid solution in this case, as it does not satisfy the initial condition z = 0.
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test scores find the percentile rank for each test score in the data set. 12, 28, 35, 42, 47, 49, 50 what value corresponds to the 60th percentile?
The 5th value of the 60% percentile is 47 when for each test score in the data set is 12, 28, 35, 47, 49, 50.
Given that,
For each test score in the data set, the percentile rank is determined. 12, 28, 35, 42, 47, 49,
We have to find what number represents the 60% of the population.
We know that,
So,
Percentile rank =[(Number of values below x)+0.5]/ total number of values × 100
For 12,
Percentile rank = [0 +0.5]/7×100
= 7th
For 28,
Percentile rank = [1 +0.5]/7×100
= 21st
For 35,
Percentile rank = [2 +0.5]/7×100
= 36th
For 42,
Percentile rank = [3 +0.5]/7×100
= 50th
For 47,
Percentile rank = [4 +0.5]/7×100
= 64th
For 49,
Percentile rank = [5 +0.5]/7×100
= 79th
For 50,
Percentile rank = [6 +0.5]/7×100
= 93rd
Now,
n = 7
60th percentile = 60% of n
So,
60% of n = 60/100×7
= 0.6×7
= 4.2
Therefore, The 5th value of the 60% percentile is 47 when for each test score in the data set is 12, 28, 35, 47, 49, 50.
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The manager is concerned that customers may not want 3 sides with their meal. he is willing to increase the number of entree choices instead, but if he adds too many expensive options it could eat into profits. he wants to know how many entree choices he would have to offer in order to meet his goal. - write a function that takes a number of entree choices and returns the number of meal combinations possible given that number of entree options, 3 drink choices, and a selection of 2 sides from 6 options. - use sapply() to apply the function to entree option counts ranging from 1 to 12. what is the minimum number of entree options required in order to generate more than 365 combinations?
The manager would need to offer a minimum of 5 entree options to generate more than 365 combinations.
The given scenario of the problem is to create a function that will assist the manager to estimate the number of meals that can be created with a certain amount of entree options, 3 drink choices, and a selection of 2 sides from 6 options.
The aim is to identify the minimum number of entree options needed to create more than 365 meal combinations.For the function, we have the following input: `number of entree options`, 3 drink choices, and a selection of 2 sides from 6 options.
We will use these inputs to calculate the number of meal combinations.
Since we are choosing from 2 different sides, we will have 6 choose 2 or 15 different side options.
The total number of meal combinations will be the product of the number of entree options, 3 drink choices, and the number of side combinations.
Therefore, the function will be;meal_combinations <- function(entrees){ entree_options <- entrees drink_options <- 3 side_options <- choose(6,2) combinations <- entree_options * drink_options * side_options return(combinations)}Using `sapply()`, we will evaluate the `meal_combinations` function for entree option counts ranging from 1 to 12.sapply(1:12, meal_combinations)From the output of sapply(1:12, meal_combinations), we can observe that the minimum number of entree options required in order to generate more than 365 combinations is 5.
Therefore, the manager would need to offer a minimum of 5 entree options to meet his goal.
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Juan bought 4.5 lbs of steak for $7.98 per lb sales tax is 6% what was the total amount Juan paid for steak
Juan bought 4.5 lbs for $7.98 per lb
This implies that 1 lb is sold at the rate of $7.98
1 lb -------- $7.98
4.5lb ------ $x
Introduce cross multiplication
1 * x = 7.98 x 4.5
x = $35.91
Therefore, 4.5lbs is sold at the rate of $35.91
The tax sales is 6%
Total amount = original price + 6% of original price
Total amount = 35.91 + 6/100 x 35.91
= 35.91 + 0.06 x 35.91
= 35.91 + 2.1546
= $38.0646
The total amount Juan paid is $38.0646
What is the length and breadth of the question.
Let the breadth of the lawn be X
therefore, Length=2X
By condition,
=≥2(L+B)=128
=>4X + 2X = 128
=>6X=128
=>X=21.333
Length=42.666m
Breadth=21.333m
HI PLEASE HELP ASAP WILL GIVE BRAINLIEST PLEASE HELP THO
Answer:
105
Step-by-step explanation:
to find the area you would have to do 17 - 7 divided by 2 = 5. so each rectangle is a 7 by 5 so you would do 35 +35+35 = 105.
hope this helps :)