the coordinates of the reflected point are (4, 2).
When a point is reflected about the y-axis, the x-coordinate is negated while the y-coordinate remains the same.
The original point is (-4, 2). If we reflect this point about the y-axis, the x-coordinate becomes positive, and the y-coordinate remains unchanged.
Negating the x-coordinate, we get:
x-coordinate: -(-4) = 4
y-coordinate: 2 (unchanged)
Given the point (-4, 2), reflecting it about the y-axis would result in the x-coordinate changing its sign while the y-coordinate remains unchanged.
Therefore, the coordinates of the reflected point are (4, 2).
Among the options provided, the correct answer is (c) (4, 2).
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Consider the following data for MRP. Develop the material requirements plan for item B and C, and answer questions below
MPS start:
End item Week 1 Week 2 Week 3 Week 4 Week 5 Week 6
A 120 80
Bill of materials:
End item A is made of 1 unit of item B.
Item B is made of 2 units of item C.
MRP-related information for each item:
Item Leadtime (weeks) Lot sizing Safety stock On-hand inventory Scheduled receiptsB 1 L4L 0 30 60 in
week 1
C 2 FOQ (50) 20 80 None
What is the gross requirement for item B in Week 3?
i. 0 unit
ii. 80 units
iii. 120 units
iv. 200 units
v. 240 units
The gross requirement for item B in Week 3 is 80 units.
The gross requirement for item B in Week 3, we need to calculate the demand for item B based on the bill of materials and the requirements for item A.
From the MPS (Master Production Schedule) provided, we can see that the gross requirement for item A in Week 3 is 80 units.
According to the bill of materials, item A requires 1 unit of item B. Therefore, the gross requirement for item B can be calculated by multiplying the gross requirement for item A by the quantity needed for item B in the bill of materials.
Gross requirement for item B = Gross requirement for item A × Quantity needed for item B in bill of materials
Gross requirement for item B = 80 units × 1 unit
Gross requirement for item B = 80 units
Therefore, the gross requirement for item B in Week 3 is 80 units.
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The scatter plot shows the amount of sleep of aria got the night before a test and her test scores. What type of relationship do u see between amount of sleep and test scores?
Show all work when answering the question for full credit. Do it as best as you can.
Solve the equation: 7(2x + 3) = 12x - 13
Answer:
x = -17
Step-by-step explanation:
7(2x + 3) = 12x - 13
Distribute
7*2x +7*3 = 12x-13
14x +21 = 12x-13
Subtract 12x from each side
14x-12x+21 = 12x-12x-13
2x+21 = -13
Subtract 21 from each side
2x+21-21 = -13-21
2x = -34
Divide by 2
2x/2 = -34/2
x = -17
Solve the equation for x. -2x + 5 = 37
Answer:
x= -16
Step-by-step explanation:
-2x+5=37
-2x=37-5
-2x=32
x= -16
Answer:
x= -16
Step-by-step explanation:
The goal in this problem is to get X on one side by itself.
We know that the opposite of subtraction is addition and the opposite of multiplication is division.
so to get 5 over to the right side, we need to subtract.
-2x+5=37 >>-2x= 37-5= 32
your problem now reads -2x= 32
We still have -2 on the left side and we need it to go to the right side so that X is by itself. The opposite of multiplication is division, so we will need to divide
-2x=32÷-2 >> x=-16
If f(1) = 160 and f(n + 1) = -2f(n), what is f(4)?
Answer: i think its f(6) = -4(6-1) = -4(5) = -20
Answer:
-1980
Step-by-step explanation:
Mr. Pham mowed 2/7 of his lawn. His son mowed 1/4 of it.
Who mowed the most?
Answer:
Mr. Pham with 2/7
Step-by-step explanation:
2/7 = 0.286
1/4= 0.25
so 2/7 is ur correct answer.
In 2022, Skylar sold equipment for $99,800 cash and a $998,000 note due in two years. Skylar's cost of the property was $798,400, and he had deducted depreciation of $479,040.
How much gain can be deferred under the installment sale method?
So the amount of gain that can be deferred under the installment sale method is $424,879.16.
What is percent?Percent is a way of expressing a number as a fraction of 100. The word "percent" means "per hundred" in Latin. When a number is expressed as a percentage, it is usually accompanied by the "%" symbol. Percentages are commonly used in many areas of everyday life, such as finance, taxes, and statistics. They are often used to express changes or differences, such as percentage increases or decreases in prices or quantities, or the percentage of people who hold a certain opinion or belong to a certain group.
Here,
To calculate the gain that can be deferred under the installment sale method, we need to first calculate the total gain on the sale. The total gain is equal to the selling price minus the adjusted basis of the property, which is the cost minus the accumulated depreciation.
Selling price = $99,800 cash + $998,000 note = $1,097,800
Adjusted basis = $798,400 - $479,040 = $319,360
Total gain = $1,097,800 - $319,360 = $778,440
To calculate the gain that can be deferred, we need to determine the gross profit percentage. The gross profit percentage is equal to the total gain divided by the selling price:
Gross profit percentage = Total gain / Selling price = $778,440 / $1,097,800 ≈ 0.7097 or 70.97%
Now we can calculate the amount of gain that can be deferred using the formula:
Gain deferred = Gross profit percentage × Payments received
Since the note is due in two years, Skylar will receive half of the payments in 2022 and the other half in 2023. Therefore, the payments received in 2022 are:
$99,800 + ($998,000 / 2) = $598,800
Substituting into the formula, we get:
Gain deferred = 0.7097 × $598,800 = $424,879.16
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What is (7.8 x 10) • (1.0 x 10)
780 is the answer. Hope this helps :)
A recently televised broadcast of a popular television show had a 15 share, meaning that among 5000 monitored households with TV sets in use, 15% of them were tuned to the show. A 0.01 significance level is used to test an advertiser’s claim that among the households with TV sets in use, less than 20% were tuned in to the show. Find the P-value.
1.9998
0.9999
0.0001
0.0002
The p-value of the given hypothesis is; 0.9999
How to find the p-value of the statistics?The formula for the z-score of proportions is;
z = (p^ - p)/√(p(1 - p)/n)
where;
p^ is sample proportion
p is population proportion
n is sample size
We are given;
p^ = 15% = 0.15
p = 20% = 0.2
n = 5000
Thus;
z = (0.15 - 0.2)/√(0.2(1 - 0.2)/5000)
z = -8.8388
From p-value from z-score calculator, we have;
P(Z < -8.8388) = 1 - 0.0001 = 0.9999
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Slove this inequality
5+7x ≤ 26
Answer:
x<3
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
7x+5<26
Step 2: Subtract 5 from both sides.
7x+5−5<26−5
7x<21
Step 3: Divide both sides by 7.
7x/7<21/7
x<3
Answer:
3
Step-by-step explanation:
Subtract 5 from both sides.
7x<21
7 goes into 21, 3 times.
Therefore, x<3
4. Find an equation of the line that is tangent to the graph of 4x + 2xy^2 +44 = y^3 at the point (-3,2).
i need this asap.
Given:
The equation is:
\(4x+2xy^2+44=y^3\)
To find:
The equation of the tangent on the given equation at point (-3,2).
Solution:
We have,
\(4x+2xy^2+44=y^3\)
Differentiate with respect to x.
\(4(1)+2[x(2yy')+y^2(1)]+0=3y^2y'\)
\(4+4xyy'+2y^2=3y^2y'\)
\(4+2y^2=3y^2y'-4xyy'\)
\(4+2y^2=(3y^2-4xy)y'\)
Isolate y'.
\(\dfrac{4+2y^2}{3y^2-4xy}=y'\)
Now, we need to find the value of the derivative at point (-3,2).
\(y'_{(-3,2)}=\dfrac{4+2(2)^2}{3(2)^2-4(-3)(2)}\)
\(y'_{(-3,2)}=\dfrac{4+8}{12+24}\)
\(y'_{(-3,2)}=\dfrac{12}{36}\)
\(y'_{(-3,2)}=\dfrac{1}{3}\)
It means the slope of the tangent line is \(\dfrac{1}{3}\).
The equation of tangent line that passes through the point (-3,2) with slope \(\dfrac{1}{3}\) is:
\(y-y_1=m(x-x_1)\)
\(y-2=\dfrac{1}{3}(x-(-3))\)
\(y-2=\dfrac{1}{3}x+1\)
\(y=\dfrac{1}{3}x+1+2\)
\(y=\dfrac{1}{3}x+3\)
Therefore, the equation of tangent line is \(y=\dfrac{1}{3}x+3\).
AC is the diameter of the circle. Angle AWB is 120 degrees. How big is arc BC?
60 degrees is the measure of arc BC from the figure
Circle geometryThe given diagram is a circle with several arc angles
arcAWB = 120 degrees
The line AC is a diameter
Since the sum of angles on a straight line is 180 degrees, hence:
arc AWB + arcBC = 180
arcBC = 180 - arc ZWX
arcBC = 180 - 120
arcBC = 60 degrees
Hence the measure of the arc BC from the diagram is 60 degrees
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If a person who is 5. 5 feet tall throws a baseball into the air, the path can be modeled using the table of values, where x represents the time in seconds and y is the height of the ball in feet.
x y
0 5. 5
1 7. 35
2 8. 9
3 10. 15
4 11. 1
5 11. 75
Which quadratic equation models the data in the table?
y= −0. 25x2 + 2x + 5. 5
y= −0. 35x2 + 2x + 5. 5
y= −0. 27x2 + 3x + 5. 5
y= −0. 15x2 + 2x + 5. 5
The data in the table is an illustration of a quadratic equation, and the quadratic equation that models the data is (d) y = -0.15x² + 2x + 5.5
How to determine the quadratic model?A quadratic model is represented as:
y = ax² + bx + c
Using the point (x,y) = (0,5.5);
We have:
a(0)² + b(0) + c = 5.5
This gives
c = 5.5
Substitute c = 5.5 in y = ax² + bx + c
y = ax² + bx + 5.5
Using the point (x,y) = (1,7.35);
We have:
a(1)² + b(1) + 5.5 = 7.35
This gives
a + b + 5.5 = 7.35
Subtract 5.5 from both sides
a + b = 1.85
Using the point (x,y) = (2, 8.9);
We have:
a(2)² + b(2) + 5.5 = 8.9
This gives
4a + 2b + 5.5 = 8.9
Subtract 5.5 from both sides
4a + 2b = 3.4
Divide through by 2
2a + b = 1.7
Subtract a + b = 1.85 from 2a + b = 1.7
2a - a + b - b = 1.7 - 1.85
This gives
a = -0.15
Substitute a = -0.15 in 2a + b = 1.7
-2 * 0.15 + b = 1.7
This gives
-0.3 + b = 1.7
Add 0.3 to both sides
b = 2
Substitute a = -0.15 and b = 2 in y = ax² + bx + 5.5
y = -0.15x² + 2x + 5.5
Hence, the quadratic equation that models the data in the table is (d) y = -0.15x² + 2x + 5.5
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Determine the size of the sample space (number of possible outcomes) for the experiment below:
Rolling a fair 6-sided die two
times
The sample space has how many
possible outcomes
The number of possible outcomes is 36.
Given that a 6-sided die has been rolled twice we need to find the sample space has how many possible outcomes,
Therefore, in one roll there will be 6 outcomes, and when it is rolled twice it will be = 6 × 6 = 36
The sample space =
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
There are 36 possibilities for (a,b).
This total number of possibilities can be obtained from the multiplication principle: there are 6 possibilities for a, and for each outcome for a, there are 6 possibilities for b.
So, the total number of joint outcomes (a,b) is 6 times 6 which is 36. The set of all possible outcomes for (a,b) is called the sample space of this probability experiment.
Hence the number of possible outcomes is 36.
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For a large sample of blood pressure values, the mean is 120 and the standard deviation is 10. Assuming a bell-shaped curve, which interval is likely to cover about 95% of blood pressures in the sample?
For a large sample of blood pressure values with a mean of 120 and a standard deviation of 10, the interval that is likely to cover about 95% of the blood pressures in the sample is between 100 and 140.
Based on the given information, we can use the empirical rule to estimate the interval that is likely to cover about 95% of the blood pressures in the sample. The empirical rule states that for a bell-shaped curve, approximately 68% of the data falls within one standard deviation of the mean, about 95% falls within two standard deviations of the mean, and nearly all (99.7%) falls within three standard deviations of the mean.
Therefore, for a large sample of blood pressure values with a mean of 120 and a standard deviation of 10, the interval that is likely to cover about 95% of the blood pressures in the sample is between 100 and 140. This is because two standard deviations above and below the mean (2 x 10 = 20) added to and subtracted from the mean (120) gives us a range of 100 to 140.
Based on the given information, for a large sample of blood pressure values with a mean of 120 and a standard deviation of 10, and assuming a bell-shaped curve, the interval likely to cover about 95% of blood pressures in the sample would be within two standard deviations from the mean. This interval can be calculated as follows:
Lower limit: Mean - (2 × Standard Deviation) = 120 - (2 × 10) = 100
Upper limit: Mean + (2 × Standard Deviation) = 120 + (2 × 10) = 140
So, the interval that covers approximately 95% of blood pressures in the sample is 100 to 140.
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How do you do this I’m in 9th grade
Answer: -1x+3
Step-by-step explanation:
so first add the x's which is just -1x then add your whole numbers which is a positive 3 so your full answer is -1x+3
Which theorem or postulate proves that △ABC and △DEF are similar?
Select from the drop-down menu to correctly complete the statement.
The two triangles are similar by the ________.
A. AA Similarity Postulate
B. SSS Similarity Theorem
C. SAS Similarity Theorem
Option A. AA Similarity Postulate. The AA Similarity Postulate is a geometric principle that states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
This means that their corresponding sides are in proportion, and the triangles have the same shape, but not necessarily the same size. This postulate is one of the ways to prove the similarity of two triangles. In the case of the given question, if we know that two angles of one triangle are congruent to the two angles of another triangle, then we can use the AA Similarity Postulate to prove that the triangles are similar. This principle is widely used in geometry and helps to establish relationships between different shapes and figures.
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A ship leaves port at noon at a bearing of 143°. The ship's average rate of speed over this time is 12 miles per hour.
Describe the location of the ship at 4:30 p.m. by writing a vector in component form.
Then explain what these components mean in
terms of the scenario.
Drag a value into each box to correctly complete the statements.
The ship has traveled for 4.5 hours at an average speed of 12 miles per hour on a bearing of 143°.
To find the location of the ship at 4:30 p.m., we need to calculate the distance traveled by the ship. Distance = Speed x Time. Therefore, Distance = 12 mph x 4.5 hours = 54 miles.
Now, we can use trigonometry to find the horizontal and vertical components of the vector. The horizontal component (x) is given by Distance x cos(bearing) = 54 miles x cos(143°) ≈ -20.96 miles. The negative sign indicates that the ship is west of its starting point. The vertical component (y) is given by Distance x sin(bearing) = 54 miles x sin(143°) ≈ 49.91 miles. The positive sign indicates that the ship is north of its starting point.
Therefore, the vector in component form is (-20.96, 49.91).
The horizontal component (-20.96) represents the distance traveled westward by the ship from its starting point. The vertical component (49.91) represents the distance traveled northward by the ship from its starting point.
The ship's location at 4:30 p.m. can be represented by the vector (-20.96, 49.91) in component form, where the horizontal component (-20.96) represents the distance traveled westward and the vertical component (49.91) represents the distance traveled northward from its starting point.
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Pls help me!!! And thank you I don’t understand
Answer:
the answer is y=1x+(-1) or just 1x-1
Step-by-step explanation:
17+5 plz show communitive property
Answer:
17+5=17+5
No matter what order you put them it will always be the same
Answer:
17+5=5+17
Step-by-step explanation:
17+5=22
5+17=22
Show that there is no set to which every singleton (that is, every set of the form {x}) belongs. [Suggestion: Show that from such a set, we could construct a set to which every set belonged.]
The existence of a set to which every singleton belongs leads to a contradiction.
Suppose there exists a set A such that every singleton {x} belongs to A. Then, using A, we can construct a set B = {{x} | x ∉ x}, which contains all sets that are not elements of themselves.
This leads to a contradiction, since if B belongs to itself, then B must not belong to itself. And if B does not belong to itself, then B must belong to itself. Hence, there cannot exist a set to which every singleton belongs. This result is known as Russell's paradox.
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Help me plz ??? Help
Answer:
16
Step-by-step explanation:
Find the mean of the data set: 9, 6, 7, 3, 10, 9
A. 6
B. 7
C. 8
D. 9
Answer: 7
Step-by-step explanation: add all the numbers up and divide them by how many numbers they are
Three and seven tenths times five
Answer:
6.5
Step-by-step explanation:
3 + (and) 7/10 x 5 = 6.5
Hope this helps!
in trinalge ABC, the measure of Angle A= 50 degrees. Which statement is true about the measure of angle C
The statement that m∠C = 130°-m∠B is the correct statement for the triangle ABC whose measure of angle A is 50 degrees.
Given, a triangle ABC in which angle A is 50 degrees and we have to conclude the statement or results that holds true for the measure of angle C. Let's proceed in order to solve the question.
We know that, by angle sum property of triangle the sum of angles of triangle is 180°.
⇒m∠A+m∠B+m∠C = 180°
⇒50°+m∠B+m∠C = 180°
⇒m∠B+m∠C = 180°-50°
⇒m∠B+m∠C = 130°
⇒m∠C = 130°-m∠B
Therefore, the measure of angle C is equal to 130°-m∠B.
Hence, m∠C = 130°-m∠B is the correct statement that can be concluded for a triangle ABC, in which the measure of angle A is 50 degrees.
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HELP if a person runs 5 miles in 25 minute, how long will it take them to run 8 miles at the same rate?
Answer:1.6
Step-by-step explanation:
25/5=5
8/5=1.6
Answer:
40 MinutesStep-by-step explanation:
if 5miles = 25 minutes
then, 8 miles = X
hence X minutes
\(x = \frac{25minutes}{5miles} \times 8miles\)
X=40 minutes1. Determine the following:
1.1. A car does a distance of 340 km for a consistent speed of 85 km/h. Hoy
long will it take the car to go the entire distance.
Answer:
v=d/t
v=340km/85km/h
v=4 km
I hope this helps you
Name the following aldehyde: CHO A. 1,4-dimethylethanal B. 3,6-dimethylheptanal C. 1,6-dipropylheptanal D. 2,5-dimethylheptanal
Answer:
c. 1,6-dipropylheptanal
, Which recursive sequence would produce the sequence
2,-6, 34
Recursive sequence would produce the sequence 2,-6, 34 is a1 = 2 and an = 2an-1 - 4
How can the recursive sequence be found?To identify a recursive sequence in which terms are defined using one or more preceding terms that are presented.Step 1, Find the nth term (an) of an arithmetic progression and the common discrepancy, d.Step 2, Use the formula an+1 = a + d to plug in the values and find the (n+1)th term, which will then reveal the following terms.A recursive formula is written in two parts: the first term is stated, and the formula connecting the succeeding terms is also stated. 10 through 35 in the following numerical order. Come up with a recursive formula. An arithmetic sequence is shown in this example (the same number, 5, is added to each term to get to the next term).Recursive sequence would produce the sequence 2,-6, 34 is a1 = 2 and an = 2an-1 - 4.To learn more about Recursive sequence refer to:
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F : the total is seven E: an odd total shows on the dice Compute P(F). P(F)= (Simplify your answer. )
To compute the probability P(F), we need to determine the number of favorable outcomes (F) and the total number of possible outcomes (S). The probability P(F) is 1/6 or approximately 0.1667.
P(F) is the probability of the total being seven when rolling a pair of dice.
When rolling a pair of dice, the total can range from 2 to 12. To calculate P(F), we need to determine the number of ways we can obtain a total of seven and divide it by the total number of possible outcomes.
When we roll two dice, the possible outcomes for each die are 1, 2, 3, 4, 5, and 6. To obtain a total of seven, we can have the following combinations: (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1). Therefore, there are six favorable outcomes.
Since each die has six sides, the total number of possible outcomes is 6 multiplied by 6, which equals 36.
Therefore, P(F) = favorable outcomes / total outcomes = 6/36 = 1/6.
Hence, the probability P(F) is 1/6 or approximately 0.1667.
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