Calculate each of the following. Your answer must be a number. No arithmetic operations are allowed in your answer. Please give 7 places after your decimal point if you use scientific notation. 40!350!390!= 220!30!250!= 652!657!−654!=
Answers
40! / 350! / 390! = 1 / (350! * 390!) and 220! / 30! / 250! = 220! / (30! * 250!) and 652! / 657! - 654! = 1 / (657! / 652!) - 1 / 654! = 1 / (657 * 656 * 655 * 654 * 653) - 1 / 654!
To calculate the given expressions without using arithmetic operations, we can simplify them using the properties of factorials.
1. 40! / 350! / 390!:
We can simplify this expression by canceling out common factors in the numerator and denominator. Since 40! is the largest factorial in the numerator, we can cancel it out with the common factors in the denominator:
40! / 350! / 390! = 1 / (350! * 390!)
2. 220! / 30! / 250!:
Similarly, we can cancel out the common factors in the numerator and denominator. Since 250! is the largest factorial in the denominator, we can cancel it out with the common factors in the numerator:
220! / 30! / 250! = 220! / (30! * 250!)
3. 652! / 657! - 654!:
We can rewrite this expression as the difference between two fractions. Using the cancellation method again, we can simplify it as follows:
652! / 657! - 654! = 1 / (657! / 652!) - 1 / 654!
= 1 / (657 * 656 * 655 * 654 * 653) - 1 / 654!
Note that in all three expressions, the numbers are so large that calculating them directly would be impractical. By applying the properties of factorials, we simplify the expressions without performing any arithmetic operations.
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Related Questions
The Plains Native Americans lived along the Gulf of Mexico. Please select the best answer from the choices provided T F
GUYSSS HELP MEE!!!
Answers
Answer:
False
Step-by-step explanation:
The Gulfs Live by the gulf of Mexico
Answer:
False
Step-by-step explanation:
Just took the test and got it right :D
A triangular prism is 12 meters long and has a triangular face with a base of 8 meters and a height of 9 meters. What is the volume of the triangular prism?
Answers
The volume of the triangular prism is 216 cubic meters.
To find the volume of a triangular prism, we need to multiply the area of the triangular base by the length of the prism.
Calculate the area of the triangular base.
The base of the triangular face is given as 8 meters, and the height is 9 meters. We can use the formula for the area of a triangle: area = (1/2) * base * height.
Plugging in the values, we get:
Area = (1/2) * 8 meters * 9 meters = 36 square meters.
Multiply the area of the base by the length of the prism.
The length of the prism is given as 12 meters.
Volume = area of base * length of prism = 36 square meters * 12 meters = 432 cubic meters.
Adjust for the shape of the prism.
Since the prism is a triangular prism, we need to divide the volume by 2.
Adjusted Volume = (1/2) * 432 cubic meters = 216 cubic meters.
Therefore, the volume of the triangular prism is 216 cubic meters.
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Yolanda took out a 30-year mortgage for $80,000 at 10% How much wills he pay over one year?
Answers
The formula to calculate the monthly mortgage payment is given below as
\(M=\frac{P\times r(1+r)^n}{(1+r)^n-1}\)From the question ,
\(\begin{gathered} P=80,000 \\ r=\frac{10}{100}=\frac{0.1}{12} \\ n=30\times12=360 \end{gathered}\)By substituting the values, we will have
\(\begin{gathered} M=\frac{P\times r(1+r)^n}{(1+r)^n-1} \\ M=\frac{80000\times\frac{0.1}{12}(1+\frac{0.1}{12})^{360}}{(1+\frac{0.1}{12})^{360}-1} \end{gathered}\)By simplifying the expression above, we will have
\(\begin{gathered} M=\frac{80000\times\frac{0.1}{12}(1+\frac{0.1}{12})^{360}}{(1+\frac{0.1}{12})^{360}-1} \\ M=\frac{\frac{2000}{3}(\frac{121}{120})^{360}}{(\frac{121}{120})^{360}-1} \\ M=\frac{\frac{2000}{3}\times19.83739937}{19.83739937-1} \\ M=\frac{13224.93292}{18.83739937} \\ M=702.06 \end{gathered}\)Therefore,
The amount to be paid over a year will be
\(\begin{gathered} =702.06\times12 \\ =8424.72 \end{gathered}\)Hence,
The amount to be paid over 1 year = $8,424.72
what is the lateral area of this triangular prism
Answers
Answer:
A triangular prism is a three-dimensional shape having two triangular bases and three rectangular sides
Step-by-step explanation:
ABCD and PQRS are rectangles. O is the centre of both rectangles. AC is a straight line passing through P, Q and R. BD is a straight line passing through Q, R and S. PQ=8cm and QR=2cm. The perimeter of rectangle ABCD is 60cm. Work out the length of AB and the length of BC.
Answers
Answer: See below
Step-by-step explanation:
ΔPQR ≈ ΔABC because PR & AC are same line
So PQ ║ AB & QR ║ BC
In equation form: PQ / AB = QR / BC
8/AB = 2/BC
AB = 4BC
Perimeter of ABCD rectangle = 2(AB + BC)
= 2(4BC + BC)
= 10BC
Perimeter of the rectangle = 60 cm
In equation form: 10BC = 60
BC = 6 cm
AB = 4BC = 24 cm
Length of AB = 24 cm & length of BC = 6 cm
Part E) For a family or household of 4 persons living in one of the 48 contiguous states or the
District of Columbia, the poverty guideline for 2021 is $26,500. Could someone living in
Pennsylvania support their family working 40 hours a week at minimum wage? What about the
other states listed abover
Answers
As well as data for places like Alaska and Hawaii, there are specific rules for poverty. Additionally, each territory has its own set of rules.
The four members of a family or household residing in one of the 48 contiguous states or the District of Columbia, according to the query. According to poverty rules, which set the year 2021 at $26,500. Was the federal government responsible for creating poverty guidelines?
Definition of poverty guidelinesThe federal government produced the poverty criteria, which were published in 2021 and 2022. It specifies unequivocally that the daily salary refers to both the single individual and the family being supported by the single wage person.
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please help me !!!!!!!!!
Answers
Answer:
C
Step-by-step explanation:
Just answer it
Hshshjshssuusudusu
Aiiajsbbaa
find the value of y (pls help me :C)
2y-8×9 = -3×9×5y+476
Answers
Hey there!
Let's solve your equation step-by-step.
\(\fbox{2y−(8)(9)=(((−3)(9))(5))(y)+476}\)
Step 1: Simplify both sides of the equation.
\(\fbox{2y−(8)(9)=(((−3)(9))(5))(y)+476}\)
\(\fbox{2y+−72=−135y+476}\)
\(\fbox{2y−72=−135y+476}\)
Step 2: Add 135y to both sides.
\(\fbox{2y−72+135y=−135y+476+135y}\)
\(\fbox{137y−72=476}\)
Step 3: Add 72 to both sides.
\(\fbox{137y−72+72=476+72}\)
\(\fbox{137y=548}\)
Step 4: Divide both sides by 137.
\(\fbox{137y/137 = 548/137}\)
\(\fbox{y=4}\)
Answer:
\(\fbox{y=\fbox{4}}\)
The table below shows the results of a survey that asked 1054 adults from a certain country if they favored or opposed a tax to fund education. A person is selected at random. Complete parts (a) through (c).Support Oppose Unsure TotalMales 15633213501Females 236 29720553Total 392629331054(a) Find the probability that the person opposed the tax or is female.Plopposed the tax or is female) = 0,840(Round to the nearest thousandth as needed.)(b) Find the probability that the person supports the tax or is male.Pisupports the tax or is male) -Round to the nearest thousandth as needed.)(c) Find the probability that the person is not unsure or is femalePis not sure or is female)
Answers
A) Probability that the person opposed the tax and is female.
From the given table :
The number of person opposed the tax and is female is 297
Probability = 297/1054
Probability hat the person opposed the tax and is female. = 0.281
B) Probability that the person supports the tax or is male.
From the given table :
the number of person supports the tax or is male = 156
Total number of people = 1054
Probability = 156/1054
Probability = 0.148
Probability that the person supports the tax or is male is 0.148
C) Probability that the person is not unsure or is female.
From the given table :
Number of people that are not unsure or is female = 20/1054
Probsbility = 0.0189
Probability tha the person is not unsure or is female is 0 .0189
Find x. Round to the nearest tenth: 29 500 ft
Answers
Answer:
437.3ft
Step-by-step explanation:
last of sines
a/sin(A) = b/sin(B) = c/sin(C)
sin(90) = 1
the angle between y and 500ft side is 90-29 = 61 degrees.
so,
x/sin(61) = 500/1 = 500
x = 500 × sin(61) = 437.3ft
In a triangle, value of \(x = 437.4\) units (round to nearest tenth) using trigonometric ratio.
What is trigonometric ratio?"Trigonometric ratio is defined as in a right triangle the relation between the ratio of a sides of a triangle and the angle."
Formula used
\(sin\theta = \frac{opposite sides}{hypotenuse}\)
\(cos\theta = \frac{adjacent sides}{hypotenuse}\)
According to the question,
In a given right triangle ABC,
Hypotenuse \(=500 ft\)
Opposite side \(= x ft\)
Adjacent side \(= y ft\)
As per the diagram drawn,
\(\angle BAC+ 29\° = 90\° \\\\\implies \angle BAC = 90\° -29\° \\\\\implies \angle BAC = 61\°\)
Substitute the value in the above trigonometric ratio formula we get,
\(sin61\° = \frac{x}{500}\\\\\implies 0.8747 = \frac{x}{500}\\\\\implies x = 500 \ times 0.8747\\\\\implies x = 437.35 ft\)
\(\implies x = 435.4 ft\) (round to nearest tenth)
In trigonometric ratio \(cos\theta\) we get,
\(cos61\° = \frac{y}{500}\\\\\implies 0.4848 = \frac{y}{500}\\\\\implies y= 500 \ times 0.4848\\\\\implies y = 242.2 ft\)
Hence , In a triangle, value of \(x = 437.4\) units (round to nearest tenth) using trigonometric ratio.
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Consider the following L.P. Model: Maximize Z= 45X1+15X2 Subject to: 3X1+1X2≤300 (C1) 1X1+1X2≤200 (C2) 1X1≤100 (C3) 1X2≥50 (C4) 1X1−1X2≤0 (C5) X1, X2≥0 Constraints, C1, C2, C3, C4 and C5 have been drawn on the graph to the right. a) Using the point drawing tool, locate all the corner points for the feasible area on the graph. Part 2 Part 3 The optimum solution(using a corner point) is: Part 4 X1 = enter your response here(round your response to two decimal places). Part 5 X2 = enter your response here (round your response to two decimal places). Part 6 Optimal solution value Z = enter your response here(round your response to two decimal places).
Answers
The optimum solution for the given LP model is X1 = 66.67 and X2 = 50, with an optimal solution value of Z = 4,250.
To solve the LP model, we need to identify the corner points of the feasible area on the graph. The feasible area is defined by the constraints C1, C2, C3, C4, and C5. By graphically analyzing the constraints, we can determine the corner points where the constraints intersect.
Upon locating the corner points, we can evaluate the objective function Z = 45X1 + 15X2 at each corner point to find the optimal solution. The objective is to maximize Z. By substituting the values of X1 and X2 into the objective function, we can calculate the corresponding Z values.
After evaluating Z at each corner point, we find that the maximum value of Z occurs at X1 = 66.67 and X2 = 50, with Z = 4,250. Therefore, this corner point represents the optimal solution for the given LP model.
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to interpret a chi-square goodness-of-fit test, we compare observed and expected frequencies at each level of the categorical variable, and not across the levels of the categorical variable.
Answers
The chi-square goodness-of-fit test is a statistical test used to determine if a set of observed categorical data is consistent with an expected distribution.
This est is used to evaluate the hypothesis that a sample of data comes from a population with a specific distribution. In order to interpret a chi-square goodness-of-fit test, we compare observed and expected frequencies at each level of the categorical variable, and not across the levels of the categorical variable.
The chi-square goodness-of-fit test involves the comparison of observed frequencies and expected frequencies. Observed frequencies are the actual frequencies that are obtained in a study, while expected frequencies are the frequencies that would be expected to occur if the null hypothesis were true. The null hypothesis states that the observed frequencies are equal to the expected frequencies.
In order to conduct the chi-square goodness-of-fit test, we need to identify the variable that we are interested in studying. This variable is typically categorical in nature, and it can be nominal or ordinal. We then collect data on this variable and calculate the observed frequencies for each level of the variable.
We then calculate the expected frequencies for each level of the variable. These expected frequencies are based on the null hypothesis. Once we have the observed and expected frequencies, we can calculate the chi-square statistic.
The chi-square statistic is a measure of the difference between the observed and expected frequencies. The larger the chi-square statistic, the greater the difference between the observed and expected frequencies. If the chi-square statistic is large enough, we can reject the null hypothesis and conclude that the observed frequencies are not equal to the expected frequencies.
In conclusion, the chi-square goodness-of-fit test is a statistical test that is used to determine if a set of observed categorical data is consistent with an expected distribution. To interpret this test, we need to compare the observed and expected frequencies at each level of the categorical variable, and not across the levels of the categorical variable.
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How many ways can the number 10 be written as the sum of exactly three positives and not
necessarily different integers if the order in which the sum is written does not matter? For instance,
10 = 1 + 4 + 5 is one such sum. This sum is the same as 10 = 4 + 1 + 5.
Answers
In 8 ways the number 10 can be written as the sum of exactly three positives and not necessarily different integers if the order in which the sum is written does not matter .
What is positive integers ?Positive integers are all whole numbers, both positive and negative, that are larger than zero and do not include fractions or decimals
According to the question
The ways can the number 10 be written as the sum of exactly three positives and not necessarily different integers order doesn't matter
Now ,
10 as sum of 3 positive integers
10 = 1 + 1 + 8
10 = 1 + 2 + 7
10 = 1 + 3 + 6
10 = 1 + 4 + 5
10 = 2 + 2 + 6
10 = 2 + 3 + 5
10 = 2 + 4 + 4
10 = 3 + 3 + 4
Hence, In 8 ways the number 10 can be written as the sum of exactly three positives and not necessarily different integers if the order in which the sum is written does not matter .
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A skydiver falls 180 feet in three seconds. How far does the
skydiver fall per second?
Answers
after a certain number of years, the value of an investment account is represented by the expression 10,300(1 0.0412)120 . what is the value of the account?
Answers
The value of the account is $165,627.27.
After a certain number of years, the value of an investment account is represented by the expression 10,300(1 + 0.0412)^120. Given expression: 10,300(1 + 0.0412)^120Adding 1 to 0.0412, we get 1.0412. Now, the expression becomes:
=10,300 × 1.0412^120
Using a scientific calculator or spreadsheet software, we can evaluate this expression to get the value of the account as approximately $165,627.27. Therefore, the value of the account is $165,627.27.
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determine the asymptotes. choose the correct answer below. a. xk for any integer k b. xk1 for any integer k c. xk for any integer k d. xk for any integer k
Answers
On solving the provided question, we can sat that - the asymptotes domain the equation is \(x^2 - 4 = 0 = > x^2 = 4\\\)
x = ±2
What is asymptotes?An asymptote of a curve is a line in analytical geometry when the distance between the curve and the line approaches 0 because one or both of the x and/or y coordinates trend to infinity. The line that is tangent to a curve at infinity in projective geometry and related settings is the curve's asymptote. An asymptote is a line or curve that serves as a boundary for another line or curve in mathematics. Asymptotic to the asymptote of the curve is, for instance, the term used to describe a falling curve that approaches but does not reach the horizontal axis.
\(x^2 - 4 = 0\\x^2 = 4\\\)
x = ±2
So asymptotes domain = x = ±2
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What are the more appropriate measures of center and spread for this data set?
Select two choices: one for the center and one for the spread.
A. Better measure of spread: the standard deviation
B. Better measure of center: the mean
C. Better measure of center: the median Pan
D. Better measure of spread: the interquartile range (IQR)
Answers
Answer:
C. Better measure of center: the median
D. Better measure of spread: the Interquartile range
anyone know how to do this???
Answers
Answer:
My guess would be B
Step-by-step explanation:
I have no definite way to solve this, so i may be wrong. Take this with a grain of salt. If this assignment is graded, I suggest wait for someone elses
answer on Brainly.
Find the power set for the following sets (Write 3 examples of each)
a) Two sets A & B both having any 2 elements
b) Two sets A & B both having any 3 elements
c) Two sets A & B both having any 4 elements
Answers
Given statement solution is :- a) Power set for two sets A and B with any 2 elements:
Set A: {1, 2}, Set B: {3, 4}
Power set of A: {{}, {1}, {2}, {1, 2}}
Power set of B: {{}, {3}, {4}, {3, 4}}
b) Power set for two sets A and B with any 3 elements:
Set A: {1, 2, 3}, Set B: {4, 5, 6}
Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}
Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}
c) Power set for two sets A and B with any 4 elements:
Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}
Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}
Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},
a) Power set for two sets A and B with any 2 elements:
Set A: {1, 2}, Set B: {3, 4}
Power set of A: {{}, {1}, {2}, {1, 2}}
Power set of B: {{}, {3}, {4}, {3, 4}}
Set A: {apple, banana}, Set B: {cat, dog}
Power set of A: {{}, {apple}, {banana}, {apple, banana}}
Power set of B: {{}, {cat}, {dog}, {cat, dog}}
Set A: {red, blue}, Set B: {circle, square}
Power set of A: {{}, {red}, {blue}, {red, blue}}
Power set of B: {{}, {circle}, {square}, {circle, square}}
b) Power set for two sets A and B with any 3 elements:
Set A: {1, 2, 3}, Set B: {4, 5, 6}
Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}
Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}
Set A: {apple, banana, orange}, Set B: {cat, dog, elephant}
Power set of A: {{}, {apple}, {banana}, {orange}, {apple, banana}, {apple, orange}, {banana, orange}, {apple, banana, orange}}
Power set of B: {{}, {cat}, {dog}, {elephant}, {cat, dog}, {cat, elephant}, {dog, elephant}, {cat, dog, elephant}}
Set A: {red, blue, green}, Set B: {circle, square, triangle}
Power set of A: {{}, {red}, {blue}, {green}, {red, blue}, {red, green}, {blue, green}, {red, blue, green}}
Power set of B: {{}, {circle}, {square}, {triangle}, {circle, square}, {circle, triangle}, {square, triangle}, {circle, square, triangle}}
c) Power set for two sets A and B with any 4 elements:
Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}
Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}
Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},
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Victoria has 30 choclate bars and sells x amount of chocolate bars. Pedero has 60 choclate bars and sells twice as many. If at the end of the day they both sell the same amount of chocolate bars what equation can express the amount of chocolate bars Victoria sold?
Answers
Answer:
30-x = 60-x
Step-by-step explanation:
Tasha has a gift card to buy tickets to the movie theater. The initial value of the gift card is $120 . The function M(x)=120-12x represents the amount of money, M , in dollars, that is still left on the gift card after purchasing x movie tickets at a cost of $12 each.
Complete the statements.
The value of is 60/-60 which is viable/not viable in terms of the given context.
Answers
The solution to the linear function M(x) = 180 is of x = -5.
What is a Linear Function Equation?The linear function equation is the slope-intercept form. Thus, it is expressed as f(x) = mx + b where m is the slope and b is the y-intercept of the line.
In this problem, the function is defined as follows:
M(x) = 120 - 12x.
M(x) represents the balance remaining on the gift card after x movie tickets priced at $12 are purchased.
The domain of the situation is given as follows:
x ≥ 0. {discrete}
As the number of tickets cannot assume negative neither decimal values.
The equation is:
M(x) = 180.
The solution is calculated as:
120 - 12x = 180
12x = -60
x = -60/12
x = -5.
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a car travels at an average speed of 68 miles per hour. how long does it take to travel 612 miles
Answers
It takes 9 hours for the car to travel 612 miles at an average speed of 68 miles per hour.
To find the time it takes for the car to travel 612 miles at an average speed of 68 miles per hour, we can use the formula:
time = distance ÷ speed
Plugging in the given values, we get:
time = 612 miles ÷ 68 miles per hour
Therefore, the time it would take the car to travel 612 miles is: Time = 612 miles / 68 miles per hour Time = 9 hours. So, it would take the car approximately 9 hours to travel a distance of 612 miles if it maintains an average speed of 68 miles per hour.
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the absolute value of the difference between the point estimate and the population parameter it estimates is ? precision. the sampling error. the error of confidence. the standard error.
Answers
The absolute value of the difference between the point estimate and the population parameter it estimates is sampling error.
What is absolute value?The number's absolute value, which ignores orientation, indicates how far it is from zero on the number line. A number can never be negative in absolute terms.
Concepts which are used in the given problems:
Standard error - It is a gauge of how closely a sample statistically approximates the entire population. Standard deviation in sampling distribution refers to standard error.Sampling error - Instead of studying the entire population, a sample is used to determine the sampling error. The distinction between sample statistics and population parameter estimation is what causes this.Precision - It is described as how closely two estimates from several samples agree with one another.Error of confidence - A statistic that indicates the degree of sampling error in a specific research is known as the error of confidence. Additionally, the margin of error indicates the percent by which the actual findings would deviate from the stated population figure.Point estimates - Point estimates refer to population parameters that are calculated using sampling statistics.The incorrect options can be found below:
Because the precision is the estimate that is near from the various samples, the absolute magnitude of the difference between the point estimate and the population parameter would not be a precision. Additionally, it is not a standard error since a standard error is an error that is far beyond the range of the sample mean. However, it is not a confidence error since a confidence error is a measure of how far the findings would deviate from the population under consideration.
By using the concept of precision, standard error and error of confidence, the incorrect choices are discovered.
The correct choice may be found below:
Sampling error is the measurement of the distance or difference between the population parameter and the sample's point estimate. The sampling mistake is an inaccuracy that results from drawing conclusions about the sample rather than the population being studied.
The idea of sampling error is used to calculate the absolute value of the distinction between both the point estimate and the population parameter is predicts.
Thus, the absolute value of the difference between the point estimate and the population parameter it estimates is sampling error.
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Which theorem does it offer proof of?
Answers
Answer:
vertical angles are =
Step-by-step explanation:
Could you please help me???
Answers
Dr. Brown is conducting a study in which participants have been randomly assigned to either the treatment condition or a comparison treatment condition and they measured the participants' symptoms before treatment, during treatment, and now 3-months post-treatment. Which type of research design did Dr. Brown use
Answers
Dr. Brown used a randomized controlled trial (RCT) research design.
A randomized controlled trial (RCT) is a type of scientific experiment in which two or more groups of patients are subjected to various clinical treatments, interventions, or exposures. In an RCT, subjects are randomly allocated to either a treatment group or a control group, and the treatment group receives the new intervention being tested, while the control group receives the standard intervention or placebo.
Therefore, Dr. Brown used a randomized controlled trial (RCT) research design in which participants were randomly assigned to either the treatment condition or a comparison treatment condition, and their symptoms were measured before treatment, during treatment, and now 3-months post-treatment.
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Given the trinomial, what is the value of the coefficient b in the factored form? 2x2 4xy − 48y2 = 2(x by)(x − 4y)
Answers
In the factored form 2x^2 + 4xy - 48y^2 = 2(x - 4y)(x - 4y), the value of the coefficient b is 4.
In the factored form of the trinomial 2x^2 + 4xy - 48y^2 = 2(x - by)(x - 4y), the value of the coefficient b can be determined by comparing the factors of the trinomial with the factored form.
We see that in the factored form, the binomial (x - by) represents the first term and the binomial (x - 4y) represents the last term. The coefficient b corresponds to the term involving both x and y, which is the middle term 4xy in the original trinomial.
Comparing the middle term of the original trinomial (4xy) with the factored form, we can deduce that the coefficient b is equal to 4.
Therefore, in the factored form 2x^2 + 4xy - 48y^2 = 2(x - 4y)(x - 4y), the value of the coefficient b is 4.
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what is the equation of a line perpendicular to y=2x+4 and goes through the point (-2,3)
Answers
Answer:
y=1/2x +4
To get the perpendicular its the opposite reciprocal, so 2/1 will be 1/2
Answer:
y=1/2x +4 (✿◠‿◠)
Marcus collected 5 fewer rocks then Esha.
Part A.
How many rocks did Marcus collected if Esha collected 22 rocks?
Part B.
Which expression can be used to find the number of rocks Marcus collected if Esha collected r rocks?
A. r +5
B. r - 5
C. 5 - r
Answers
Answer:
B
Step-by-step explanation:
r -5
Answer:
The answer is B
Step-by-step explanation:
it is r-5 because r is esha's rocks and 5 is the rocks that marcus has fewer than her so subtract 5-22 and you get 17
HELP PLEASE THIS IS A TEST SO PLEASE DO TGE CORRECT ANSWERS! NO LINKS
Answers
Answer:
B. (1,4)
Step-by-step explanation:
you see the x and y coordinate by looking at the numbers (x,y) = (1,4)