How do you plot a coordinate plane?
We can plot in the coordinate plane if an ordered pair is known to us.
What is coordinate plane?The space or plane in where location of points is represented by a pair of numerical terms with respect to some reference lines or reference direction is called coordinate plane.
How do we plot a coordinate plane?
let we have some pair of numerical terms such as A (4, 9) and B (6, 10)
that is needed to plot in the coordinate plane.
At first, we will plot the point A (4, 9)
we will start from the origin and move horizontally along the direction of X axis up to 4 unit. In the next, start again and move up vertically in the direction of y axis up to 9 unit. And we will draw a point at the final location.
By the same way, we can plot the point B.
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Solve equation.
27-6 d=7+4 d
Answer:
27-7=4d+6d
20=10d
d=20/10
therefore; d=2
Generate the first 3 terms for the sequence-2n
+1.
Answer:
- 1, - 3, - 5
Step-by-step explanation:
Substitute n = 1, 2, 3 into the rule, that is
a₁ = - 2(1) + 1 = - 2 + 1 = - 1
a₂ = - 2(2) + 1 = - 4 + 1 = - 3
a₃ = - 2(3) + 1 = - 6 + 1 = - 5
A student may participate in football or golf. About 13% of the student body at a high school participates in football. About 8% plays golf. What is the probability that a student chosen at random participates in either football or golf?
5%
104%
13%
21%
Answer:
21%
Step-by-step explanation:
The sum of the 13% who play football and the 8% who play golf would be 21%
.13 + .08 = .21
What is the length of the opposite side?
Answer:
30
Step-by-step explanation:
The side that is opposite to ∠Z is side YX. Therefore the length of the opposite side would be the length of YX which is 30 units.
can someone find the measures of angle 1 & 2?
Answer:
angle 1 equals 55 and angle 2= equals 115
Step-by-step explanation:
the middle angle is 125 so than you add 63+__ which is 62 so than the last angle to make 180 is 55(angle 1) than angle 2 10+__=125 so ___=115 than the last angle will be 55
Answer:
1) 62°
2) 115°
Step-by-step explanation:
Angle 1)
QRP= 180°-125° (adjacent angles on a straight line)
= 55°
angle 1= 180°-63°-55° (sum of angles in a triangle)
= 62°
Angle 2)
SRT= QRP (vertically opposite angles)
= 55°
angle 2= 180°-10°-55° (sum of angles in a triangle)
= 115°
The set W is a subset of set of real numbers R cubed. If W were a vector space, what else would be true about it?
A. The set W would be the null space of any matrix A that can be broken up into vectors that span set of real numbers R cubed.
B. The set W has at least one basis with each dimension from 0 to 3, inclusive.
C. The set W would not contain the zero vector for set of real numbers R cubed.
D. The set W would be a subspace of set of real numbers R cubed.
D. The set W would be a subspace of set of real numbers R cubed.
For a set to be considered a vector space, it must satisfy the following conditions:
1. It contains the zero vector (the additive identity).
2. It is closed under vector addition.
3. It is closed under scalar multiplication.
Since the set W is a subset of R cubed, it inherits the properties of R cubed, including the zero vector. Therefore, option C is not true.
Options A and B are not necessarily true for all subsets of R cubed. They may hold for some specific subsets, but they are not general properties that apply to all subsets.
Option D is the correct answer because it states that the set W would be a subspace of R cubed. A subspace is a subset of a vector space that is itself a vector space, satisfying all the properties of a vector space. Since W is a subset of R cubed, it would be a subspace if it satisfies the three conditions mentioned above.
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What is the measure of AC?
Enter your answer in the box.
°
Image shows a circle with angle A B C inscribed in a circle. Angle B measures 4 x minus 5.5 degrees. Arc A C measures 3 x plus 9 degrees.
Answer:
In the circle, the measure of the arc AC is 21°.
Step-by-step explanation:
Concept: We can use the Inscribed Angle theorem to get the measure of AC.
Given that the inscribed angle ∠ABC is 3x-1.5 and the Intercepted arc AC is 3x+9.
Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of the intercepted arc.
So,
3x - 1.5 = 0.5(3x + 9)
6x - 3 = 3x + 9
3x = 12
x = 4
Since the intercepted arc AC is 3x + 9, putting the value of x = 4 we get,
intercepted arc AC is 21°.
Hence the intercepted arc AC is 21°.
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8. higher order thinking use the number line to compare skip
counting by 4s four times to skip counting by 8s two times. how are
skip counting by 4s and 8s alike? how are they different? explain.
0 1
2 3
4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
They differ in step size, the number of terms, and the starting point. Skip counting by 4s has a smaller step size and more terms compared to skip counting by 8s.
When skip counting by 4s four times, we start at 4 and then add 4 repeatedly: 4, 8, 12, 16.
When skip counting by 8s two times, we start at 8 and then add 8 repeatedly: 8, 16.
Both skip-counting sequences have the number 8 in common, which represents a common multiple of 4 and 8.
However, there are differences between skip counting by 4s and skip counting by 8s.
1. Step size: When skip counting by 4s, the step size is 4. We add 4 to the previous number each time. On the other hand, when skip counting by 8s, the step size is 8. We add 8 to the previous number each time.
2. Number of terms: In skip counting by 4s, we have four terms (4, 8, 12, 16). In skip counting by 8s, we have two terms (8, 16).
3. Starting point: Skip counting by 4s starts at 4, while skip counting by 8s starts at 8.
In summary, skip counting by 4s and 8s are alike in that they both involve adding multiples of a number. They differ in step size, the number of terms, and the starting point. Skip counting by 4s has a smaller step size and more terms compared to skip counting by 8s.
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What is 3.172 rounded to the nearest tenth?
3.2
3.3
3.7
3.8
Answer: 3.2
Step-by-step explanation: 3.2 is the answer because the number 7 is higher than 5. so the number 1 goes up by one, which that equals 3.2
Mark is training for a mini triathlon he rode his bike 3/4 Mille ran 2/4 milks and swam 1/4 mile each day how does the distance he biked in 3 days compare to the distance he swam in 3 days in 5 days in 6 days why
The comparison between the distance he biked and swam is 3 : 1.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
From the given information the comparison of the distance he swam to the distance he biked can be represented in the form of ratios.
Given, He rode his bike 3/4 miles and swam for 1/4 mile.
Therefore, The ratio of biking : swimming = 3/4 : 1/4.
Now, Multiplying by 4 to get rid of the denominator we have,
Biking : Swimming = 3 : 1.
As the days in both comparisons increase in the same manner the ratio will remain the same.
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What is the percent of change from 100 to 23
Answer:
77% decrease
Step-by-step explanation:
Which word phrase represents the numerical expression below? * 4+(27-10)
Answer:
4 plus the difference of 27 and 10
Step-by-step explanation:
Elmer spent the day at the mall. First, he bought five rabbits for $10 each. Later, he bought four cupboards for $70 each. After that, he found a twenty dollar bill. Also, he returned one rabbit. Write the total change to Elmer's funds as an integer.
Answer:
-300
Step-by-step explanation:
Step 1: Find the amount Elmer's funds decreased after purchasing the rabbits:
Let x represent Elmer's funds.
Since Elmer bought five rabbits for $10 each, he lost $10 5 times.
x - (10 * 5)
x - 50
Thus, Elmer lost (spent) $50 for the 5 rabbits.
Step 2: Find the amount Elmer's funds decreased after purchasing the cupboards:
Since Elmer bought four cupboards for $70 each, he lost $70 4 times:
x - (50 + (70 * 4))
x - (50 + 280)
x - 330
Thus, after purchasing the rabbits and cupboards, Elmer lost $330.
Step 3: Find the amount Elmer's funds increased after finding the twenty-dollar bill:
Since Elmer found a twenty-dollar bill, he gained $20
x - (330 + 20)
x - 310
Step 4: Find the amount Elmer's funds increased after returning one rabbit:
Since Elmer returned one rabbit, he gained $10:
x - (310 + 10)
x - 300
Thus, Elmer's funds changed totally by -$300.
Putting all the information together, we have:
x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10
x - 50 - 280 + 30
x - 330 + 30
x - $300
Find The Total Differentials Of The Following Utility Functions. A. U(X,Y)=Xαyβ B. U(X,Y)=X2+Y3+Xy
A. The total differential of the utility function U(X,Y) = X^αY^β is dU = αX^(α-1)Y^β dX + βX^αY^(β-1) dY.
B. The total differential of the utility function U(X, Y) = X^2 + Y^3 + XY is dU = (2X + Y) dX + (3Y^2 + X) dY.
A. The total differential of a function represents the small change in the function caused by infinitesimally small changes in its variables. In this case, we are given the utility function U(X, Y) = X^αY^β, where α and β are constants.
To find the total differential, we differentiate the utility function partially with respect to X and Y, and multiply the derivatives by the differentials dX and dY, respectively.
For the partial derivative with respect to X, we treat Y as a constant and differentiate X^α with respect to X, which gives αX^(α-1). We then multiply it by the differential dX.
Similarly, for the partial derivative with respect to Y, we treat X as a constant and differentiate Y^β with respect to Y, resulting in βY^(β-1). We then multiply it by the differential dY.
Adding these two terms together, we obtain the total differential of the utility function:
dU = αX^(α-1)Y^β dX + βX^αY^(β-1) dY.
This expression represents how a small change in X (dX) and a small change in Y (dY) affect the utility U(X, Y).
B. To find the total differential of the utility function U(X, Y) = X^2 + Y^3 + XY, we differentiate each term of the function with respect to X and Y, and multiply the derivatives by the differentials dX and dY, respectively.
For the first term, X^2, we differentiate it with respect to X, resulting in 2X, which is then multiplied by dX. For the second term, Y^3, we differentiate it with respect to Y, resulting in 3Y^2, which is multiplied by dY. Finally, for the third term, XY, we differentiate it with respect to X and Y separately, resulting in X (multiplied by dY) and Y (multiplied by dX).
Adding these three terms together, we obtain the total differential of the utility function:
dU = (2X + Y) dX + (3Y^2 + X) dY.
This expression represents how a small change in X (dX) and a small change in Y (dY) affect the utility U(X, Y).
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Kim sells newspapers. she is paid $10 per week and $0.18 per news paper sold one week she sells 829 newspapers how much does she she earn selling newspapers that week?
Kim earned \($159.22\) for the week by selling 829 newspapers.
Kim's earnings for the week, we need to use the information provided in the problem.
She is paid a base salary of \($10\) per week, and she also earns \($0.18\) for each newspaper she sells.
She earned for selling 829 newspapers, we need to multiply the number of newspapers by the amount she earns per newspaper, and then add her base salary:
Earnings from newspapers sold = 829 × \($0.18\)
= \($149.22\)
Earnings for the week = \($149.22 + $10\)
=\($159.22\)
It's worth noting that if Kim didn't sell any newspapers, her earnings for the week would still be \($10\), which is her base salary.
She will always have some income even if she has a slow week and doesn't sell many newspapers.
The more newspapers she sells, the higher her total earnings will be.
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Keisha is playing a game using a wheel divided into 8 equal sectors, as shown in the diagram below. Each time the spinner lands on blue, she will win a prize. If Keisha spins this wheel twice, what is the probability that she will win a prize on both spins?
In a wheel game with eight equally spaced sectors, Keisha's chances of winning a reward on both spins are 1/16.
What is a probability example?Probability—the possibility that an occurrence will happen—is calculated by dividing here the same number of favorable outcomes by the total number of possible outcomes. A coin toss serves as the most simple instance. If you flip a coin, there are only two possible outcomes: heads or tails.
The spinners will get a reward each everytime she lands on white. She will spin the wheel twice.
Here, there are two instances of such color white in the wheel, and there are a total of eight sectors. the likelihood that white will appear in the spin for the first time is,
P = 2/8
P = 1/4
The second case's circumstances are the same. In this instance, the outcomes including both wheel revolutions are independent of one another.
According to the product rule, the likelihood that a white sector will both spin and emerge is,
P = 1/4 * 1/4
P = 1/16
In a wheel game with eight equally spaced sectors, Keisha has a 1/16 chance of winning a reward on both spins.
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The complete question is-
Keisha is playing a game using a wheel divided into eight equal sectors, as shown in the diagram. Each time the spinner lands on white, she will win a prize. If she spins this wheel twice, what is the probability she will win a prize on both spins? Please show all steps!
answer pleasee alll lowkey failing math
Which statements are true? check all that apply. twenty-three ninth graders and fifteen eleventh graders prefer math. fourteen eleventh graders prefer math and eight tenth graders prefer english. thirty-five twelfth graders prefer math and nine tenth graders prefer english. twenty-three ninth graders and thirty-five twelfth graders prefer math. eighteen tenth graders prefer english and fourteen eleventh graders prefer math.
Fourteen eleventh graders prefer math and eight tenth graders prefer English.
What is a survey?A survey is a study that seeks to gather information about people sometimes involving the preferences of the people.
From the table, we can see that fourteen eleventh graders prefer math and eight tenth graders prefer English.
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The contractor for a new school put a rectangular garden in the courtyard. The length of this garden is 5 feet longer than its width. If this area is 414 square feet, what is the length of the rectangle?
Answer:
23ft
Step-by-step explanation:
Area of the rectangle = LW
L is the length
W is the width
Given
Area = 414ft²
If the length of this garden is 5 feet longer than its width, then;
L = W+5
Substitute into the formula
414 = (W+5)W
414 = W²+5W
W²+5W-414 = 0
W = -5±√5²-4(-414)/2
W = -5±√25+1656/2
W = -5±√1681/2
W = -5+41/2
W = 36/2
W = 18ft
Since L = W+5
L = 18+5
L = 23ft
Hence the length of the rectangle is 23ft
In this figure, AB¯¯¯¯¯∥CD¯¯¯¯¯ and m∠3=120°.
What is m∠6?
Enter your answer in the box.
°
Line a b parallel to line c d is cut by a transversal forming 8 angles. The angles formed when the transversal intersects with line A B clockwise starting from top left are angle 1, 2, 3, and 4. The angles formed where the transversal intersects line c d clockwise from top left are angle 5, 6, 7, and 8.
Answer:
the answers is 160
you take 180-120=60
m<6= 60
Step-by-step explanation:
Estimate the median of the distribution of drinks.
Hint: Think about the 50th percentile.
Answer:
25 grams
Step-by-step explanation:
The relative cumulative frequency gives us an equivalent of the percentiles of the distribution.
Thus, \( 50^{the} \) percentile is equivalent to a relative cumulative frequency of 0.5.
The median is roughly the 50th percentile, which is a cumulative frequency of 0.5.
From the graph, the grams of sugar on the x-axis that corresponds to a cumulative frequency of 0.5 on the y-axis, is 25 grams.
Therefore, the median is 25 grams.
you order two tacos and a salad. the salad costs $2.50. you pay 6% sales tax and leave a $3 tip. you pay a total of $13.60. how much does one taco cost?
The cost of one taco is $3.75.
We are given cost of salad, the sales tax and tip along with total expenditure. We already know, that sales tax is calculated on the cost of items. Hence, forming the equation accordingly. Let us assumed the cost of one taco be $x. So, the cost of two tacos will be $2x.
The equation will be -
2x + 2.50 + (2x + 2.50)×(6÷100) + 3 = 13.60
2x + 2.50 + (2x + 2.50)×0.06 + 3 = 13.60
Now, solving this equation to find the value of x and hence the cost of one taco.
2x + 2.50 + 0.12x + 0.15 + 3 = 13.60
Performing addition on Left Hand Side
2.12x + 5.65 = 13.60
Shifting 0.18 to Right Hand Side and performing subtraction
2.12x = 13.60 - 5.65
2.12x = 7.95
x = 7.95÷2.12
Performing division
x = 3.75
Thus, the cost of one taco is $3.75.
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An Isosceles triangle and a square have the same perimeter. Find the side lengths of the triangle.
triangle base: 3x
triangle height: 2x+1
square length: 4
Answer: 5, 5, 6
How you get this answer?
If the perimeters are the same. Then the dimension of the triangle will be 5, 5, and 6.
What is the perimeter of the geometry?The peripheral of a form is defined in mathematics as the entire length of its boundaries. The surrounding of a form is calculated by summing the lengths of all the vertices and edges that surround it. It is measured in linear quantities like cm, meters, inches, and feet.
Let 'x' be the isosceles sides and the 'y' be the third side. Then the equation is given as,
x + x + y = 4 × 4
2x + y = 16
2x + y = 2(5) + 6
Then the dimension of the triangle will be 5, 5, and 6.
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What is 13% of 500 hours
Answer:
65
Step-by-step explanation:
13% = .13
.13 x 500 = 65
Answer:
2.70833333 days
Step-by-step explanation:
hours to days:
500 hours = 500 ÷ 24 = 20.8333 days%( percent) means 100
13% of (500 hours)
= 13 ÷ 100 × (20.8333 days)
= 2.70833333 days ≈ 2.71 days
Which one is partial molar property? 0 (20)s,v,{n, * i} © ( aH )s.p,{n;* i} ani ani 8A -) T, V, {n; * i} ani ƏG ani T,P,{nj≠ i}
The partial molar property among the given options is T, V, {n; * i}.
Partial molar property refers to the change in a specific property of a component in a mixture when the amount of that component is increased or decreased while keeping the composition of other components constant. In the given options, T, V, {n; * i} represents the partial molar property.
T represents temperature, which is an intensive property and remains constant throughout the system regardless of the amount of the component.
V represents volume, another intensive property that does not depend on the quantity of the component. {n; * i} denotes the number of moles of a specific component, which is a partial molar property because it describes the change in the number of moles of that component while keeping other components constant.
On the other hand, properties like s, v, {n, * i}, aH, ƏG, T,P,{nj≠ i} are either extensive properties that depend on the total amount of the system or properties that do not specifically pertain to a component's change.
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***NOTE YOU GET 37 POINTS FOR ANSWERING QUESTION * A gallon of fresh squeezed orange juice at Piggly Wiggly Supermarket costs $2.70. Below are the costs of orange juice at other supermarkets. Which of the following has the same unit rate for orange juice as Piggly Wiggly? Select all that apply.
❏ Supermarket A: 2 gallons of orange juice for $5.40.
❏ Supermarket B: 2.25 gallons of orange juice for $6.30.
❏ Supermarket C: 1.25 gallons of orange juice for $3.38.
❏ Supermarket D: 1.5 gallons of orange juice for $4.43.
❏ Supermarket E: 0.75 gallons of orange juice for $2.03.
Answer:
the answers would be: A, C, and E
Step-by-step explanation:
Answer:
A,C,E Are the answers
Step-by-step explanation:
Its a,c,e because 5.40 divided by 2 gallons is 2.70. Its C because 3.38 divided by 1.25 gallons is 2.70. Its E because 2.03 divided by 0.75 is 2.70.
Is the change in Vivians elevation from The bottom of the ferris wheel to the top a positive number or negative number? Why?
Answer:
Step-by-step explanation: The change in Vivian’s elevation is a positive number because her elevation increased as she moved from the bottom back to the top.
How many anagrams can be created from the word 'metamorphosis' of the new words do not need to be meaningful
Therefore, there are 86,870,400 possible anagrams that can be created from the word 'metamorphosis' where the new words do not need to be meaningful.
To determine the number of anagrams that can be created from the word 'metamorphosis', we need to calculate the permutations of its letters, accounting for repeated letters. Since 'metamorphosis' has 14 letters, including 2 'm's, 2 'o's, and 2 's's, the total number of anagrams can be calculated as:
14! / (2! * 2! * 2!)
where '!' represents the factorial function. Simplifying the expression:
14! = 14 * 13 * 12 * ... * 2 * 1
The calculation results in:
(14 * 13 * 12 * ... * 2 * 1) / (2 * 2 * 2) = 86,870,400
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Suppose that you are given the following program. What decimal value does the AX register hold when someProcedure is called? data x dword 153461 y byte 37 z byte 90 .code main proc mov ah, y mov al, z call someprocedure inc eax mov ebx, z xor eax, ebx exit main endp end mai. I know the answer is 9562 but I do not know why. Could anyone explain how to get this answer?
The AX register holds the decimal value 9562 when the some Procedure is called.
In the given code, the value of y (37) is moved into the high-order byte (AH) of the AX register using the instruction "mov ah, y". Then, the value of z (90) is moved into the low-order byte (AL) of the AX register using the instruction "mov al, z".
When a procedure is called using "call someprocedure", the current address is pushed onto the stack and the execution jumps to the specified procedure. In this case, the someProcedure is not provided in the code snippet, so we cannot analyze its specific implementation.
The instruction "inc eax" increments the value stored in the AX register by 1. Since the initial value in AX is 37 (AH = 37, AL = 90), the increment operation changes the value to 38 (AH = 37, AL = 91).
Finally, the value of z (90) is XORed with the value in the EAX register (38), and the result is stored in the EAX register. XORing 90 with 38 results in the decimal value 9562.
Therefore, the AX register holds the decimal value 9562 when the someProcedure is called.
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