Answers
In linear equation, value of expression is -5 and 0.
What in mathematics is a linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.
Equations with power 1 variables are known as linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.
-6d + 4a + 5c/5
1)
d = 1 , a = 1 , c = 3
= -6d + 4a + 5c/5
= -6 * 1 + 4 * -1 + 5 * -3/5
= -6 -4 - 15/5
= -25/5
= -5
2)
d = -10, a = -5 , c = -8
= -6d + 4a + 5c/5
= -6 * -10 + 4 * -5 + 5 * -8/5
= 60 -20 - 40/5
= 60-60/5
= 0
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Related Questions
Remove brackets of 3(2a+5b)
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1. school a's graduation rate is 10 points higher than school b's. how much higher do we expect a's giving rate to be? 2. how does the answer to question 1 change if we learn that a and b have identical student-to-faculty ratio? why would the answer to question 1 change? 3. which of the 123 schools has the most (least) giving rate? please elaborate on your finding as to what other variables (s) might have contributed to the differences in giving rates? 4. consider a school similar to ours. we have a 67% graduation rate and a student-to-faculty ratio of 17:1, 34% of the classes have fewer than 20 students, 23% of the classes have more than 50 students, and we have a freshman retention rate of 77%. should this school's giving rate be greater than or less than 8%?
Answers
To estimate the difference between the giving rates of school A and school B, we must first identify the missing value. It is not given in the statement.
1. However, it can be assumed that the giving rate of school B is 0%, as the difference between the two figures should be expressed as a percentage.
If school A has a graduation rate of 90%, we can estimate its giving rate as follows: Given that school A's graduation rate is 10 points higher than school B's graduation rate, the Giving rate of school A = (90 + 10)% = 100%Thus, school A's giving rate is expected to be 100%.2. If we learn that schools A and B have identical student-to-faculty ratios, the answer to the previous question would not change. The student-to-faculty ratio has no bearing on the graduation and giving rates of the school.
The student-to-faculty ratio is a measure of class size and may be used to determine how well the school is prepared to manage the educational needs of its students.3. The question does not provide a list of 123 schools to choose from. It is not possible to determine the school with the highest or lowest giving rate without this information.
4. To calculate whether the school's giving rate is greater or lesser than 8%, we must first estimate the value of the giving rate. The problem statement does not provide a clue to the school's giving rate.
Nonetheless, we can estimate that the giving rate of a school with a 67% graduation rate and a freshman retention rate of 77% would be relatively lower than 8%. Schools with a higher graduation rate are more likely to have a higher giving rate because their alumni are more inclined to contribute to the institution.Therefore, it is not possible to calculate the school's giving rate without more information.
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In Bitcoin, the standard practice for a merchant is to wait for n confirmations of the paying transaction before providing the product. While the network is finding these confirming blocks, the attacker is building his own branch which contradicts it. When attempting a double-spend, the attacker finds himself in the following situation. The network currently knows a branch crediting the merchant, which has n blocks on top of the one in which the fork started. The attacker has a branch with only m additional blocks, and both are trying to extend their respective branches. Assume the honest network and the attacker has a proportion of p and q of tire total network hash power, respectively. 1. [10 pts] Let az denote the probability that the attacker will be able to catch up when he is currently z blocks behind. Find out the closed form for az with respect to p,q and z. Detailed analysis is needed. (Hint: az satisfies the recurrence relation az=paz+1+qaz−1) 2. [10 pts] Compared with the Bitcoin white paper, we model m more accurately as a negative binomial variable. m is the number of successes (blocks found by the attacker) before n failures (blocks found by the honest network), with a probability q of success. Show that the probability for a given value m is P(m)=(m+n−1m)pnqm.
Answers
In Bitcoin, when a merchant waits for n confirmation of a payment transaction before providing the product, there is a risk of a double-spend attack. In this situation, the network is aware of a branch crediting the merchant, which has n blocks on top of the one in which the fork started.
By simulating m as a negative binomial variable, P(m) = (m + n - 1m)pnqm can be used to more precisely compute this probability for a given value of m.
The attacker, on the other hand, has a branch with only m additional blocks. If we assume the honest network and the attacker have a proportion of p and q of the total network hash power, respectively, the probability of the attacker catching up when he is currently z blocks behind is given by az = paz+1 + qaz−1, where a is a constant.
To calculate the probability more accurately, we can model m as a negative binomial variable.
This is the number of successes (blocks found by the attacker) before n failures (blocks found by the honest network), with a probability q of success.
The probability for a given value m is then given by P(m) = (m + n - 1m)pnqm.
Thus, when dealing with a double-spend attack in Bitcoin, the probability that the attacker will be able to catch up is given by az = paz+1 + qaz−1, where a is a constant.
This probability can be more accurately calculated by modeling m as a negative binomial variable, with the probability for a given value m given by P(m) = (m + n - 1m)pnqm.
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Find the missing length in a figure.
Answers
Answer:
5 cm
Step-by-step explanation:
Opposite sides are equal in a rectangle.
So, Area of missing length = 16-11 = 5 cm
calculator may be used to determine the final numeric value, but show all steps in solving without a calculator up to the final calculation. the surface area a and volume v of a spherical balloon are related by the equationA³ - 36πV² where A is in square inches and Vis in cubic inches. If a balloon is being inflated with gas at the rate of 18 cubic inches per second, find the rate at which the surface area of the balloon is increasing at the instant the area is 153.24 square inches and the volume is 178.37 cubic inches.
Answers
Answer:
10.309 in²/s
Step-by-step explanation:
Given A³ = 36πV² and V' = 18 in³/s, you want to know A' when A=153.24 in² and V=178.37 in³.
DifferentiationUsing implicit differentiation, we have ...
3A²·A' = 36π·2V·V'
A' = (36π·2)/3·V/A²·V' = 24πV/A²·V'
A' = 24π·(178.37 in²/(153.24 in²)²·18 in³/s
A' ≈ 10.309 in²/s
The surface area is increasing at about 10.309 square inches per second.
__
Additional comment
There are at least a couple of ways a calculator can be used to find the rate of change. The first attachment shows evaluation of the expression we derived above. The second attachment shows the rate of change when the area is expressed as a function of the volume.
The result rounded to 5 significant figures is the same for both approaches.
What is the composition of linear transformation matrix?
Answers
A linear transformation matrix is a square matrix that represents a linear transformation of a vector space. The composition of linear transformation matrices is equivalent to the composition of linear transformations they represent.
In general, the composition of two linear transformations A and B can be represented by the matrix product AB. Therefore, the composition of two linear transformation matrices, say A and B, would be the matrix product AB.
Linear transformations are functions that map vectors from one vector space to another in a linear way. These transformations can be represented by matrices, which can be composed to represent the composition of linear transformations.
The composition of two linear transformations represented by matrices involves multiplying the matrices together. To perform this multiplication, we need to ensure that the number of columns in the first matrix matches the number of rows in the second matrix. The resulting matrix will have the same number of rows as the first matrix and the same number of columns as the second matrix.
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1 point) Consider the linear system -3-21→ a. Find the eigenvalues and eigenvectors for the coefficient matrix. 0 and 42 b. Find the real-valued solution to the initial value problem yj 5y1 +3y2, y2(0) = 15. = Use t as the independent variable in your answers. y (t) = y(t) =
Answers
(a) The eigenvalues of the coefficient matrix is [-1,3] and for λ=42, we get the eigenvector [1,5].
Itcan be found by solving the characteristic equation |A-λI|=0, where A is the coefficient matrix and λ is the eigenvalue. Solving for λ, we get λ=0 and λ=42.
o find the eigenvectors, we substitute each eigenvalue into the equation (A-λI)x=0 and solve for x. For λ=0, we get the eigenvector [-1,3]. For λ=42, we get the eigenvector [1,5].
(b) The solution is y(t) = c1e^(0t)[-1,3] + c2e^(42t)[1,5].
To find the real-valued solution to the initial value problem, we can use the eigenvectors and eigenvalues to diagonalize the coefficient matrix. We have A = PDP^-1, where P is the matrix whose columns are the eigenvectors and D is the diagonal matrix with the eigenvalues on the diagonal.
Using the initial condition y2(0) = 15, we can solve for the constants c1 and c2.
The solution is y(t) = c1e^(0t)[-1,3] + c2e^(42t)[1,5]. Solving for c1 and c2 using the initial condition, we get
y(t) = [-15e^(42t) + 3e^(0t), 15e^(42t) + 5e^(0t)].
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Here are two closed containers and four balls just fit in each container. Each ball has a diameter of 54 mm. Which container has the smaller surface are? You must show your working
Answers
both containers have the same surface area and neither has a smaller surface area than the other.
Container 1:
Surface area of a single ball = π x (54/2)^2 = 3,092.62 mm^2
Total surface area of 4 balls = 12,370.48 mm^2
Container 2:
Surface area of a single ball = π x (54/2)^2 = 3,092.62 mm^2
Total surface area of 4 balls = 12,370.48 mm^2
Both containers have the same surface area.
To calculate the surface area of the two containers, I first calculated the surface area of one ball by using the formula π x (diameter/2)^2. I then multiplied this by 4 to get the total surface area of 4 balls. I repeated this process for both containers and found that both containers had the same surface area of 12,370.48 mm^2. both containers have the same surface area and neither has a smaller surface area than the other.
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We revisit a probabilistic model for a fault diagnosis problem from an earlier homework. The class variable C represents the health of a disk drive: C = 0 means it is operating normally; and C = 1 means it is in failed state. When the drive is running it continuously monitors itself using temperature and shock sensor, and records two binary features, X and Y. X =lif the drive has been subject to shock (e.g;, dropped) , and X = 0 otherwise Y =1if the drive temperature has ever been above 70*C, and Y = 0 otherwise. The following table defines the joint probability mass function of these three random variables: pxyc(r,y, c) 0.1 0.2 0.2 0 0 0 0 0 0 0.05 0.25
Answers
The probability of the disk drive being in a normal state is 0.5, and the probability of the disk drive being in a failed state is 0.3.
The given table represents the joint probability mass function of the random variables, pxyc (r, y, c). r, y, and c denote the temperature, shock sensor, and health status of the disk drive. The values of r, y, and c are binary.The joint probability mass function of three random variables r, y, and c can be represented as follows:pxyc (r, y, c)= P(r, y, c)Here,P(r=0, y=0, c=0)= 0.1, P(r=0, y=1, c=0)= 0.2, P(r=1, y=0, c=0)= 0.2,P(r=0, y=0, c=1)= 0, P(r=0, y=1, c=1)= 0, P(r=1, y=0, c=1)= 0,P(r=0, y=0, c=0)= 0, P(r=0, y=1, c=0)= 0, P(r=1, y=1, c=0)= 0.05,P(r=0, y=0, c=1)= 0.25, P(r=0, y=1, c=1)= 0, P(r=1, y=0, c=1)= 0.From the given table, the probability of the disk drive being in a normal state, C=0, is P(C=0)=P(r=0, y=0, c=0)+P(r=0, y=1, c=0)+P(r=1, y=0, c=0)=0.1+0.2+0.2=0.5Hence, the probability of the disk drive being in a failed state, C=1, is:P(C=1)=P(r=0, y=0, c=1)+P(r=0, y=1, c=1)+P(r=1, y=0, c=1)+P(r=1, y=1, c=0)=0.25+0+0+0.05=0.3Therefore, the probability of the disk drive being in a normal state is 0.5, and the probability of the disk drive being in a failed state is 0.3.
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Gary's backpack weighs 1.2 pounds. His math textbook weighs 3.75 pounds, and his science textbook weighs 2.85 pounds. How much will his backpack weigh with the math and science textbooks in it?
Answers
Answer:
To find out how much Gary's backpack will weigh with the math and science textbooks in it, we need to add the weight of the textbooks to the weight of the backpack:
Total weight = backpack weight + math textbook weight + science textbook weight
Total weight = 1.2 + 3.75 + 2.85
Total weight = 7.8 pounds
Therefore, Gary's backpack will weigh 7.8 pounds with the math and science textbooks in it.
Answer: His backpack will weigh 7.8 pounds
Step-by-step explanation:
Gary's backpack already weights 1.2 pounds without the science and math textbook, now we add the weights of both the math and science textbook.
1.2 + 3.75 = 4.95
4.95 is the weight with only his math textbook in his bag
now we add the science textbooks weight to 4.95
4.95 + 2.85 = 7.8
7.8 is the weight of his backpack with both his science and math textbook in his bag
for h(x) = 4x-1, find h(0) and h(2)
Answers
Answer:
- 1 and 7
Step-by-step explanation:
to find h(0) substitute x = 0 into h(x)
h(0) = 4(0) - 1 = 0 - 1 = - 1
to find h2) substitute x = 2 into h(x)
h(2) = 4(2) - 1 = 8 - 1 = 7
h(0) = 4*0-1
h(0) = 0-1
h(0) = -1
Same path for h(2).
h(2) = 4*2 - 1
h(2) = 8-1
h(2) = 7
listed are 29 ages for academy award winning best actors in order from smallest to largest. 18; 21; 22; 25; 26; 27; 29; 30; 31; 33; 36; 37; 41; 42; 47; 52; 55; 57; 58; 62; 64; 67; 69; 71; 72; 73; 74; 76; 77 a. (5pts) find the score at the 20th percentile
Answers
The score at the 20th percentile is 27.
To find the score at the 20th percentile of the 29 ages for Academy Award winning best actors, follow the steps below:
Arrange the given ages from smallest to largest.
18; 21; 22; 25; 26; 27; 29; 30; 31; 33; 36; 37; 41; 42; 47; 52; 55; 57; 58; 62; 64; 67; 69; 71; 72; 73; 74; 76; 77
Determine the total number of data points
n = 29
Find the rank of the percentile
20th percentile = (20/100) * 29 = 5.8 = 6 (rounded to the nearest whole number).The rank of the percentile is 6.
Use the rank to determine the corresponding data value. The corresponding data value is the value at the 6th position when the data is arranged in ascending order. The score at the 20th percentile is 27.
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A barista mixes 12lb of his secret-formula coffee beans with 15lb of another bean that sells for $18 per lb. The resulting mix costs $20 per lb. How much do the barista's secret-formula beans cost per pound?
Answers
Answer: $22.50
Step-by-step explanation:
Let x be the cost per pound of the secret-formula coffee beans.
The total cost of the secret-formula beans is 12x dollars.
The total cost of the other beans is 15 × 18 = 270 dollars.
The total cost of the mix is (12 + 15) × 20 = 540 dollars.
Since the barista mixed 12 pounds of the secret-formula beans with 15 pounds of the other beans, the total weight of the mix is 12 + 15 = 27 pounds.
We can set up an equation based on the total cost of the mix:
12x + 270 = 540
Subtracting 270 from both sides:
12x = 270
Dividing both sides by 12:
x = 22.5
Therefore, the barista's secret-formula coffee beans cost $22.50 per pound.
In an introductory psychology class with n = 50 students, there are 9 freshman males, 15 freshman females, 8 sophomore males, 12 sophomore females, and 6 junior females. A random sample of n = 2 students is selected from the class. If the first student in the sample is a male, what is the probability that the second student will also be a male?
a. 8/14
b. 12/20
c. 20/44
d. 20/50
Answers
Answer: Total number of males= C
Step-by-step explanation:
For triangles ABC and DEF, ∠A ≅ ∠D and B ≅ ∠E. Based on this information, which statement is a reasonable conclusion?
a. ∠C ≅ ∠D because they are corresponding angles of congruent triangles.
b. CA ≅ FD because they are corresponding parts of congruent triangles.
c. ∠C ≅ ∠F because they are corresponding angles of similar triangles.
d. AB ≅ DE because they are corresponding parts of similar triangles.
Answers
the triangles are similar, corresponding parts of the triangles are equal in measure. Thus, it is reasonable to conclude that [tex]AB ≅ DE.[/tex]
It is reasonable to conclude that [tex]AB ≅ DE[/tex]because triangles ABC and DEF are similar.
This means that corresponding parts of the two triangles are equal in measure. Specifically, ∠A and ∠D are equal in measure, as are ∠B and ∠E.
Therefore, the corresponding sides AB and DE are equal in measure.
A way to show that the two triangles are similar is by using the AA Similarity Postulate.
This postulate states that if two angles of one triangle are equal in measure to two angles of a second triangle, then the two triangles are similar. In this case, [tex]∠A ≅ ∠D and B ≅ ∠E[/tex], which means the two triangles are similar.
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When a researcher draws conclusions about a population based on the results of a test on a sample, he or she is most likely using which of the following? a) inductive statistics b) deductive statistics c) descriptive statistics d) inferential statistics
Answers
When a researcher draws conclusions about a population based on the results of a test on a sample, he or she is most likely using inferential statistics. Therefore Option A is correct.
Inferential statistics: It involves using sample data to make inferences or draw conclusions about a population. In this case, the researcher is using the results from the sample to make inferences about the population from which the sample was drawn.
Deductive statistics, inductive statistics, and descriptive statistics are other branches of statistics that are used for different purposes.
Deductive statistics:Deductive statistics involves starting with a general principle or theory and testing it with data, Inductive statistics:Inductive statistics involves starting with data and using it to develop a theory or principle. Descriptive statistics: Descriptive statistics involves summarizing and describing data using measures such as mean, median, and standard deviation.Therefore the researcher draws a conclusion to use inferential statistics about a population based on test of sample.Option A is correct.
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please help i have been trying to get an answer for 5+ hours
How is the quotient of 556 and 16 determined using an area model?
Enter your answers in the boxes to complete the equations. Your final answer should be a mixed number in simplest form.
Answers
Answer:
To use an area model to determine the quotient of 556 and 16, we can divide a rectangle of area 556 into 16 equal parts. Each part will have an area of 556/16.
We can start by dividing 556 into 16 groups of 10 (160), and then into 16 groups of 3 (48). That leaves us with a remainder of 4.
So we have:
556 = 16 x 34 + 48 + 4
This shows that 556 can be written as 16 times some whole number (34) plus a remainder of 48 + 4/16.
Simplifying the remainder, we have:
48 + 4/16 = 48 + 1/4 = 48.25
Therefore, the quotient of 556 and 16 is:
556/16 = 34 1/4
The quotient of 556 and 16 using an area model can be determined by producing a rectangle with the total area of 556 and one side of 16. The length of the other side will be the quotient. In this case, the quotient is 34 3/4.
Explanation:When asked to determine the quotient of 556 and 16 using the area model, one way to think of this is making a rectangle. The total area is 556 and one side is 16. The length of the other side will be the quotient.
Start by first estimating how many times 16 could fit into 556. Let's take 30 as an estimate, because 30*16 = 480, which is relatively close to 556. Draw a rectangle with the width of 16 and the length of 30.
Find the difference between the rectangle's area and 556. So, 556 - 480 = 76. Now, 76 is our remaining area to fill. 16 goes into 76 four more times, adding up to 64.
There is still a leftover area, which is 76-64 = 12. This is smaller than our width of 16. So, your final answer is 34 12/16 or 34 3/4 in simplest form.
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I really need help on this question!
Answers
Answer:
The 2nd table
Step-by-step explanation:
For the first set of x and y values, divide y (9/4) by x(3)
Change 3 to 1/3 due to the keep-change-flip rule and multiply that by 9/4 as 9/4 × 1/3= 9/12 which is equivalent to 3/4
Do the same process with 6 and 9/2 and that should give you 3/4 as well
Therefore the second table of values have a proportional relationship to each other as they have the same quotient.
Hope this helps.
Which of the following represents vector vector t equals vector PQ in trigonometric form, where P (–13, 11) and Q (–18, 2)?
t = 10.296 sin 60.945°i + 10.296 cos 60.945°j
t = 10.296 sin 240.945°i + 10.296 cos 240.945°j
t = 10.296 cos 60.945°i + 10.296 sin 60.945°j
t = 10.296 cos 240.945°i + 10.296 sin 240.945°j
Answers
The correct answer is option (C).
What are the fundamental forms of trigonometry?Sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent are the six functions (cot).
The equation t = Q - P, where Q and P are the specified locations, can be used to determine the components of the vector t. Therefore:
t = (–18, 2) – (–13, 11) = (–18 + 13, 2 – 11) = (–5, –9) (–5, –9)
The vector's magnitude is given by:
|t| = √(–5)^2 + (–9)^2 = √106 ≈ 10.296
The formula = tan1 (y/x), where x and y are the vector's components, can be used to determine the direction of the vector t. The direction must be expressed in terms of sine and cosine functions because we are required to represent the vector in trigonometric form.
θ = tan⁻¹ (–9/–5) ≈ 60.945°
In trigonometric form, the vector t is thus represented as follows:
t = [t|cos|i] + [t|sin|j]
We get the following by altering the values of |t| and:
t = 10.296 cos I + 10.296 sin j of angle 60.945
As a result, the following is the proper trigonometric representation of the vector t:
t = 10.296 cos I + 10.296 sin j of angle 60.945
Thus, alternative is the right response (C).
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ABCD is a quadrilateral A) Calculate the value of x. B) When ABCD is drawn to scale, would the lines AD and BC be parallel or not? You must justify your answer without using a scale drawing
Answers
A) The value of x = 45 degrees
B) Lines AD and BC are not parallel when ABCD is drawn to scale.
To solve this problem, we can use the fact that the sum of the angles in a quadrilateral is 360 degrees.
A) angle A + angle B + angle C + angle D = 360
2x + 90 + x + 3x = 360
6x + 90 = 360
6x = 270
x = 45
Therefore, x = 45 degrees.
B) To determine if lines AD and BC are parallel, we can look at the opposite angles of the quadrilateral. If they are supplementary (add up to 180 degrees), then the lines are parallel.
angle A + angle C = 2x + x = 3x = 135 degrees
angle B + angle D = 90 + 3x = 90 + 135 = 225 degrees
Since angle A + angle C and angle B + angle D do not add up to 180 degrees, the opposite angles are not supplementary, and therefore, lines AD and BC are not parallel.
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The given question is incomplete, the complete question is:
ABCD is a quadrilateral A) Calculate the value of x. B) When ABCD is drawn to scale, would the lines AD and BC be parallel or not?
Determine the area of the shaded regions in the figures below. Write the final polynomial in standard
Answers
In response to the stated question, we may state that As a result, the area final polynomial in standard form is: -25pi + 50
What is area?The size of a surface area can be represented as an area. The surface area is the area of an open surface or the border of a three-dimensional object, whereas the area of a planar region or planar region refers to the area of a shape or flat layer. The area of an item is the entire amount of space occupied by a planar (2-D) surface or form. Make a square with a pencil on a sheet of paper. A two-dimensional character. On paper, the area of a form is the amount of space it takes up. Assume the square is made up of smaller unit squares.
To calculate the area of the darkened areas, subtract the area of the circle from the area of the square.
Then, determine the square's side length. Because the circle's diameter is ten, the radius is five. Because the diagonal of a square equals the diameter of a circle, we can use the Pythagorean theorem to calculate the side length:
[tex]s^2 + s^2 = 10^2\\2s^2 = 100\\s^2 = 50\\s = \sqrt(50) = 5 * \sqrt(2)[/tex]
The square's area is then:
[tex]A_{square} = s^2 = (5 * \sqrt(2))^2 = 50[/tex]
The circle's area is:
[tex]A_{circle} = pi * r^2 = pi * 5^2 = 25 * pi[/tex]
The shaded region's area is:
[tex]A_{shaded} = A_{square} - A_{circle} = 50 - 25 * pi[/tex]
As a result, the final polynomial in standard form is:
-25pi + 50
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Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4. 2 points. Rachel scored 78 points on an exam that had a mean score of 75 points and a standard deviation of 3. 7 points. Find Keenan's z-score, to the nearest hundredth
Answers
Keenan's z-score is 0.71, rounded to the nearest hundredth.
The z-score measures how many standard deviations an individual's score is from the mean, and can be calculated using the formula:
z = (x - μ) / σ
where x is the individual's score, μ is the mean score, and σ is the standard deviation.
For Keenan's exam:
z = (80 - 77) / 4.2
z = 0.71
Therefore, Keenan's z-score is 0.71, rounded to the nearest hundredth.
Rounding to the nearest hundredth means the rounding of any decimal number to its nearest hundredth value. In decimal, hundredth means 1/100 or 0.01. For example, the rounding of 2.167 to its nearest hundredth is 2.17.
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a business give 30% discount on everyting. If a radio costed 1610 Dollars how much did it cost before discount
Can someone help with the calculation of this.
Answers
Answer:
$2300
Step-by-step explanation:
$1610 is 7/10 the original cost. Multiplying by 10/7 reverses that, and we get the starting cost of $2300
Hope this helps!
Cutting (chess) boards. Suppose we are given a standard 8 x 8 checkerboard and given a standard 8 x 8 checkerboard and an immense supply of dominoes. Each domino can cover exactly two adjacent squares on the checkerboard below). As a warm-up, verify that the checkerboard can be covered completely dominoes where each domino covers exactly two squares and the dominoes do not overlapon another. Assume next that two squares of the checkerboard have been cut off as shown (second checkerboard). Your challenge now is to determine if you can cover this cut checkerboard winnon overlapping dominoes so that again, each domino covers exactly two squares. Finally, your last challenge is to consider the same question for the truncated checkerboard (last checkerboard). Does your answer change? Justify your answers.
Answers
If the two removed squares have the same color, then it is possible to cover the truncated checkerboard with non-overlapping dominoes. If they have different colors, then it will be impossible to cover the truncated checkerboard with non-overlapping dominoes.
To prove that the chess board can be completely covered by non-overlapping dominoes, where each domino covers exactly two squares, we can color the board alternatively in black and white. The two colors will make the board have 32 black squares and 32 white squares. Each domino will cover one white and one black square. Since there are the same number of black and white squares, there is an equal number of squares that each domino can cover so it is possible to cover the entire board with dominoes without overlap.
To determine whether the cut checkerboard can be covered by non-overlapping dominoes, note that we have 62 squares, 31 of which are black, and 31 white. This means that one color will have one extra square, in this case black. Therefore, if the two removed squares are of different colors, it will be impossible to cover the cut checkerboard with non-overlapping dominoes.However, if the two removed squares have the same color, then it will be possible to cover the checkerboard with non-overlapping dominoes. This is because we will still have an equal number of black and white squares even after the removal of the two squares.The same logic applies to the truncated checkerboard.
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a chess club with 80 memberd is electing a new presidentm jose received 52 votes. what percentage of the club members voted for Jose?
Answers
Answer:
Step-by-step explanation:
(52 divided by 80) multiplied by 100
that will give you the answer
How to do matrix multiplication in MIPS?
Answers
To perform matrix multiplication in MIPS, we can use nested loops to iterate over the rows and columns of the matrices.
The outer loop iterates over the rows of the first matrix, while the inner loop iterates over the columns of the second matrix. We then perform the dot product of the corresponding row and column, which involves multiplying the elements and summing the products.
To perform multiplication efficiently, we can use MIPS registers to store intermediate values and avoid accessing memory unnecessarily. We can also use assembly instructions like "lw" and "sw" to load and store values from memory, and "add" and "mul" to perform arithmetic operations.
In summary, matrix multiplication in MIPS involves nested loops, efficient use of registers and assembly instructions, and arithmetic operations.
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Select the correct answer.
Solve:
|x − 3| − 10 = -5
A.
x = -2 or x = 8
B.
x = -8 or x = 2
C.
x = 2 or x = 8
D.
x = 8 or x = 18
Answers
Answer:
A. x = -2 or x = 8
Good luck!!
Step-by-step explanation:
(x - 3) - 10 = -5
x - 3 = - 5 + 10
x - 3 = 5
x = 5 + 3
x = 8
1. The line segment AB has endpoints A(-5, 3) and B(-1,-5). Find the point that partitions the line segment in
a ratio of 1:3
Answers
Answer:
To find the point that partitions the line segment AB in a ratio of 1:3, we can use the following formula:
P = (3B + 1A) / 4
where P is the point that partitions the line segment in a ratio of 1:3, A and B are the endpoints of the line segment, and the coefficients 3 and 1 represent the ratio of the segment we are dividing.
Substituting the values, we get:
P = (3*(-1, -5) + 1*(-5, 3)) / 4
P = (-3, -7)
Therefore, the point that partitions the line segment AB in a ratio of 1:3 is (-3, -7).
Step-by-step explanation:
3. When x = 6, which number is closest to the value of y on the line of best fit in the graph below?
09
01
07
10
0987
65
432
2
1
➤X
0 1 2 3 4 5 6 7 8 9 10
Answers
Answer:
9
Step-by-step explanation:
Math question please help
Answers
TU is a perpendicular bisector.
What is perpendicular bisector?
A line that divides a line segment into two equal halves and forms a 90-degree angle at the point of intersection is called a perpendicular bisector.
To put it another way, a perpendicular bisector separates a line segment at its midpoint, creating a 90-degree angle.
A line or line segment that divides a given line segment into two equal portions is known as a perpendicular bisector.
The word "bisect" refers to dividing equally.
The line segment that perpendicular bisectors overlap forms four 90° angles on either side.
A line or line segment is said to be perpendicular when it forms a 90° angle with another line or line segment.
Hence, TU is a perpendicular bisector.
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