Answer:
b1= 2A/h - b2
Step-by-step explanation:
You have to multiply each side by 2, then divide each side by h. after that you subtract b1 from both sides and then you will get your answer.
Answer:
b1 = 2A / h - b2
Step-by-step explanation:
A = h(b1 + b2) / 2
[cross multiply]
h(b1 + b2) = A × 2
b1h + b2h = 2A
[divide both sides of the equation by h]
b1h / h + b2h / h = 2A / h
b1 + b2 = 2A / h
[make b1 the subject of the formula]
b1 = 2A / h - b2
Please help me with this question it is in the picture
Answer:
complementary angles
Step-by-step explanation:
The sum of the angles is 67+23 = 90
When angles sum together to 90, the are called complementary
Answer:
Option A
Step-by-step explanation:
The measures of the two angles have a sum of 90°.
\(67+23=90\)
Therefore, they are complementary angles, since complementary angles have a total measure of 90°.
Option A is the best answer.
Brainilest Appreciated.
Antonia recorded the number of cups of hot chocolate that were sold at soccer games compared to the outside temperature. The graph below represents her data.Hot Chocolate SalesFor which temperature would the prediction of the number of cups sold be an interpolation?21°F35°F49°F63°F
Answer:
49 degrees could be an interpolation.
Step-by-step explanation:
For an interpolation, the data point in question needs to be in the middle of the given data points of the graph. Only the value 49 is in between all the points in our graph. The rest of the choice fall outside of the points.
62,394 to the nearest hundred
Answer:
62400
Step-by-step explanation:
Lets ignore everything above 394 because those numbers are the only ones we are focusing on right now.
94 is not less than 50
94 is bigger than or equal to 50
Round up:
394 ---> 400
= 62,400
Answer:
62,400
Step-by-step explanation:
You would round 90 to the nearest hundred which is 400
Simplify 0.4(5a-3.2b+7)
Step-by-step explanation:
2a -1.28b +2.8 for simplification.
As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution.
The standard normal distribution becomes smaller.
What is standard deviation?
Your dataset's average level of variability is represented by the standard deviation. It reveals the average deviation of each statistic from the mean. A low standard deviation denotes that values are grouped close to the mean, whereas a large standard deviation shows that values are often far from the mean.Think about the following data: 2, 1, 3, 2, 4. The average and the sum of squares representing the observations' variances from the mean will be 2.4 and 5.2, respectively. This means that (5.2/5) = 1.01 will be the standard deviation.As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution
becomes smaller.
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Go pointal Two secarate tanocm samples of workors from a particular industry wore oolected aith the folowing rasults. Sanpia 1: 90 woken were selected and it was foind that 30 of thert prelened working tom bome to workng in a traditional office. percent. (19 polits) For each part, solect the best response. (a) Consider the following variables measured on undergraduate students who attend the Univeraity of Missouri. Which of these variables is cotegorical? A. The name of the last high school the student attended. B. The student's earned income for the most-recent taxyoas. C. The student's age moasured in years. D. The number of brothen and sisters the etudent has. E. None of the above. (b) Consioes the following variables measured on undergraduate students who attend the Unwersify of Masoun. Which of these variables is a measurement variable? A. The distance, in miles, between the student's homotown and Columbia, Missount. Q. The stubentis major. c. The student's profered nama D. Whether oe not the studont waighe more than 150 pounds. E. None of the above. wo points) Far eace parth seect the teat choice. A. Ape. D. ReScence in-cancus br ot campuo Q. necup Mrreir bophomons or UMSL sophomarsi). D. Whether of not a thosere ove a cier L. Nana uf the asove. B. it confounsent witt resting puhe rate. d. Bherails wen det oem-sodiurs standant). D. is an imenes warablie R. Nild the obore (20 points) For each part, indicate under which of the seven critical components the indicated information should be classified. (a) The fact that a study was originally published in The Journal of the American Statistical Association. A. Component 5 : Setting. B. Component 1: Source. C. Component 4: Measurements. D. Component 2: Researchers. E. Component 6: Extraneous differences. (b) The fact that a study was paid for by a grant from a large oil company. A. Component 1: Source. B. Component 2: Researchers. C. Component 5: Setting. D. Component 4: Measurements. E. Component 6: Extraneous differences. aksociates, a litt of 15 partrins; and s las of the 30 attoentys. For each qoestion, identify the sampling plan used to seioct the tamplo of atiomers (3) 7weitie utiomeys arm randorty saiected trom the ist of the 30 athorneys. A. S.glertated annole 7. ctanfied nandom asiple. G. Veiluneet sarrio D. Clusier aanerie E. fowe manoum sampie R. Volunten samole C. Eempied random sample. D. Cuater sampte E. Sythemuso random sample.
The percentage of the women who wanted to work from home was (30/90) * 100 = 33.33%.
Researchers often study different variables in their experiments, which helps them make informed decisions. In the given information, two separate random samples of workers from a specific industry were collected, and 90 women were selected in sample 1, and 30 of them preferred working from home.
Therefore, The response to the given questions is as follows:
(a) The variable that is categorical among the variables measured on undergraduate students who attend the University of Missouri is the number of brothers and sisters the student has.
(b) The distance, in miles, between the student's hometown and Columbia, Missouri, is the variable that is a measurement variable among the variables measured on undergraduate students who attend the University of Missouri.
(c) Random sample is the sampling plan that was used to select the sample of attorneys from the list of 30 attorneys.
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20% of x is 100. what is X?
Answer:
ok so lets just make this into a algrebra equation
0.2x=100
divide each side by 0.2
100 divided by 0.2=500
500
Hope This Helps!!!
Answer:
X = 500
Step-by-step explanation:
20% x 5 = 100%
so we multiply 100 (20%) by 5 = 500.
Hope this helps!
Brainliest would be nice! : )
Solve the following DE using Power series around x₀ = 0. Find the first eight nonzero terms of this DE. y" + xy' + 2y = 0.
y(x) = a₀ + a₁x + a₂x² + a₃x³ + a₄x⁴ + a₅x⁵ + a₆x⁶ + a₇x⁷ + O(x⁸), where a₀, a₁, a₂, a₃, a₄, a₅, a₆, and a₇ are constants to be determined.
To find the power series solution, we substitute the power series expansion of y(x) into the given differential equation and equate coefficients of like powers of x to zero.
We start by differentiating y(x) term by term. The first derivative is y' = a₁ + 2a₂x + 3a₃x² + 4a₄x³ + 5a₅x⁴ + 6a₆x⁵ + 7a₇x⁶ + O(x⁷), and the second derivative is y" = 2a₂ + 6a₃x + 12a₄x² + 20a₅x³ + 30a₆x⁴ + 42a₇x⁵ + O(x⁶).
Next, we substitute these derivatives and the power series expansion of y(x) into the given differential equation: (2a₂ + 6a₃x + 12a₄x² + 20a₅x³ + 30a₆x⁴ + 42a₇x⁵ + O(x⁶)) + x(a₁ + 2a₂x + 3a₃x² + 4a₄x³ + 5a₅x⁴ + 6a₆x⁵ + 7a₇x⁶ + O(x⁷)) + 2(a₀ + a₁x + a₂x² + a₃x³ + a₄x⁴ + a₅x⁵ + a₆x⁶ + a₇x⁷ + O(x⁸)) = 0.
By equating the coefficients of like powers of x to zero, we can solve for the constants a₀, a₁, a₂, a₃, a₄, a₅, a₆, and a₇. This process yields the first eight nonzero terms of the power series solution of the differential equation as stated in the summary.
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min
x1+2x2
s.t. X1 + X2 ≤ 4
x1 - X2≥ 5
X1, X2 ≥ 0
For the LP problem above, which of the following statement is true?
A• The LP has a unique optimal solution.
B• The LP has multiple optimal solutions.
C• The LP has no feasible solution.
D• The LP is unbounded.
The correct option is B• "The LP has multiple optimal solutions". Because feasible region, intersects with the objective function in multiple points.
The given linear programming (LP) problem consists of two constraints and two decision variables, x1 and x2. The objective function to be minimized is x1 + 2x2.
To determine the nature of the LP problem, we need to analyze its feasible region and objective function.
The first constraint, x1 + x2 ≤ 4, defines a region in the xy-plane that lies below the line x1 + x2 = 4. The second constraint, x1 - x2 ≥ 5, defines a region that lies to the right of the line x1 - x2 = 5. The feasible region is the intersection of these two regions.
By analyzing the feasible region, we can determine the potential optimal solutions. Since the feasible region is a bounded region, there are finite points within it. The objective function, x1 + 2x2, represents a straight line in the xy-plane with a positive slope. As long as this line intersects the feasible region, there will be multiple points of intersection, each representing a potential optimal solution.
Therefore, the LP problem has multiple optimal solutions because there are multiple points of intersection between the objective function and the feasible region.
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What is the value of k?
Answer:
D: 25
Step-by-step explanation:
25÷4=6.25
6.25×4=25
Can anyone please help me!!
Solve the quadratic equation by completing the square. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
4x^2 -3x-7 =0
x= ?
SECOND Question:
Use the discriminant to determine the number the number of real solutions of the quadratic equation.
2x^2 - 6x + 6 =0
Answer choices:
Zero
One
Two
The quadratic equation's answer is found by completing the square: x= 7/4, x = -1.
what is quadratic equation ?x ax2+bx+c=0, a quadratic polynomial in a single variable, is a quadratic equation. a 0. Since this polynomial is of second order, the Fundamental Theorem of Algebra guarantees that there is at least one solution. There are both straightforward and complex solutions. A quadratic equation is a quadratic equation. This suggests that it contains at least one word that has to be squared. One of the commonly used answers to quadratic equations is "ax2 + bx + c = 0." where the unknown variable "X" is represented by the numerical coefficients or constants a, b, and c.
given
4x^2 -3x-7 =0
4x^2 - 7x + 4x -7 = 0
x(4x-7) +1(4x-7) = 0
(4x-7 )(x+1) = 0
The quadratic equation's answer is found by completing the square: x= 7/4, x = -1.
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Find 34−13.95 . Express your answer in decimal form.
Answer:
34-13.95 = 20.05
Step-by-step explanation:
Answer:
20.05
Step-by-step explanation:
34 - 13.95 = 20.05
A 2-yard piece of aluminum wire costs $30.00. What is the price per foot?
Answer:
5
Step-by-step explanation:
1 yard=3ft.
2x3=6
30/6=5
Answer:
$15.00
Step-by-step explanation:
1 yard= 3 feet
2 yards =6 feet
2 yard divided by 30=$15.00
1 foot= $15
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
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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Consider a standard normal random variable z. What is the value of z if the area to the right of z is 0.3336? Multiple Choice 0.43 0.52 O o 0.35 1.06 O
Therefore, the value of z when the area to the right of z is 0.3336 is approximately 0.43.
Consider a standard normal random variable z. If the area to the right of z is 0.3336, the value of z can be found using the standard normal distribution table. The standard normal distribution table gives the area to the left of a given z-score. Since we are given the area to the right of z, we subtract 0.3336 from 1 to get the area to the left of z. This gives us an area of 0.6664 to the left of z on the standard normal distribution table. The closest value of z that corresponds to this area is 0.43. Therefore, the value of z when the area to the right of z is 0.3336 is approximately 0.43. The value of z, when the area to the right of z is 0.3336, is approximately 0.43.
Therefore, the value of z when the area to the right of z is 0.3336 is approximately 0.43.
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Can someone help with this question I don’t understand it!??!
Answer:
I think it's A, B, and B
Step-by-step explanation:
Pretty sure that irrational numbers are like square roots of things
Solve the following quadratic equations by factoring. Show your solutions 2. ײ+2×=-1
Step-by-step explanation:
x²+2x=-1
x²+2x+1=0
x²+x+x+1=0
x(x+1)+1(x+1)=0
(x+1)(x+1)=0
(x+1)²=0
x+1=0
x=-1
let's solve :
\( {x}^{2} + 2x + 1 = 0\)\(x {}^{2} + x + x + 1 = 0\)\(x(x + 1) + 1(x + 1) = 0\)\((x + 1)(x + 1) = 0\)\((x + 1) {}^{2} = 0\)\(x + 1 = 0\)\(x = - 1\)hence, value of x = -1
The average person drinks 3 Liters of water when hiking the Mission Peak (with a standard deviation of 1 Liter). You are planning a hiking trip to the Mission Peak for 10 people and will bring 35 Liters of water. What is the probability that you will run out? What if the hiking trip will have 20 people and the amount of water you bring also doubles to 70 Liters. What is the probability you will run out? Please solve this problem in Excel and submit your Excel file. Will the probability of running out of water increase or decrease? Why?
The probability of running out of water decreases.
The given problem can be solved by using the concept of the normal distribution. Normal distribution, also called Gaussian distribution, is a probability distribution that occurs naturally in many situations. In this distribution, data values cluster around a central point, and the further away a value is from the center, the less likely it is to occur. The normal distribution has two parameters: the mean (μ) and the standard deviation (σ). The mean is the center of the distribution, and the standard deviation is a measure of how spread out the distribution is. The normal distribution is symmetric about the mean. It is a continuous distribution, meaning that it can take any value between negative infinity and positive infinity. The area under the normal curve represents the probability of a random variable taking a certain value or falling within a certain range of values. The total area under the normal curve is equal to 1.
Given:
The average person drinks 3 Liters of water when hiking the Mission Peak (with a standard deviation of 1 Liter).
You are planning a hiking trip to the Mission Peak for 10 people and will bring 35 Liters of water.
What is the probability that you will run out?
We need to find the probability that the amount of water consumed by 10 people will be greater than 35 Liters. Let X be the random variable representing the amount of water consumed by each person. X is normally distributed with mean μ = 3 Liters and standard deviation σ = 1 Liter.
Then, the total amount of water consumed by 10 people is given by the sum of 10 independent identically distributed (i.i.d.) random variables:
Y = X1 + X2 + ... + X10
where X1, X2, ..., X10 are i.i.d. random variables with the same distribution as X.
The total amount of water you bring is 35 Liters. Therefore, you will run out of water if:
Y > 35
or equivalently:
(Y - μ10) / σ10 > (35 - μ10) / σ10
where μ10 = 10μ = 30 Liters and σ10 = √(10)σ = √(10) Liters.
Thus, the probability that you will run out of water is:
P(Y > 35) = P[(Y - μ10) / σ10 > (35 - μ10) / σ10]
= P(Z > (35 - μ10) / σ10)
where Z is the standard normal variable.
Using the standard normal table, we find that:
P(Z > (35 - μ10) / σ10) = P(Z > (35 - 30) / √10)
= P(Z > 1.5811)
= 0.0564 (rounded to four decimal places)
Therefore, the probability that you will run out of water when hiking the Mission Peak with 10 people is 0.0564.
What if the hiking trip will have 20 people and the amount of water you bring also doubles to 70 Liters. What is the probability you will run out?
In this case, the number of people has doubled, so the total amount of water consumed will also double. Thus, the total amount of water consumed by 20 people is given by:
Y = X1 + X2 + ... + X20
where X1, X2, ..., X20 are i.i.d. random variables with the same distribution as X.
The total amount of water you bring is 70 Liters. Therefore, you will run out of water if:
Y > 70
or equivalently:
(Y - μ20) / σ20 > (70 - μ20) / σ20
where μ20 = 20μ = 60 Liters and σ20 = √(20)σ = 2.2361 Liters.
Thus, the probability that you will run out of water is:
P(Y > 70) = P[(Y - μ20) / σ20 > (70 - μ20) / σ20]
= P(Z > (70 - μ20) / σ20)
where Z is the standard normal variable.
Using the standard normal table, we find that:
P(Z > (70 - μ20) / σ20) = P(Z > (70 - 60) / 2.2361)
= P(Z > 4.4721)
= 0 (rounded to four decimal places)
Therefore, the probability that you will run out of water when hiking the Mission Peak with 20 people is zero.
Will the probability of running out of water increase or decrease? Why?
The probability of running out of water decreases when the number of people increases and the amount of water brought doubles. This is because the total amount of water consumed increases proportionally to the number of people, but the standard deviation of the distribution of the amount of water consumed decreases proportionally to the square root of the number of people. This means that the distribution of the total amount of water consumed becomes narrower and more concentrated around the mean as the number of people increases.
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Giving brainliest need ASAP
Answer:
I can answer this if you can make copyable
a license plates consist of three letters followed by 4 digits. how many different license plates are possible
A total of 175,760,000 different license plates are possible.
A permutation is a count of the different arrangements which can be made from a given set of things. In permutation the details matter, as the order or sequence is important. Permutation and combination are the methods employed in counting how many outcomes are possible in various situations. Permutations are understood as arrangements and combinations are understood as selections. As per the fundamental principle of counting, there are the sum rules and the product rules to employ counting easily.
According to this, if one event can occur in a ways and a second event can occur in b ways, the second event occurring after the first event did, then the two events can occur in a × b ways.
There are 26 letters in an English language.The license plate has 3 digits. There are 10 digits from 0 to 10. The license plate has 4 digits.
The number of different license plate numbers that can be formed:
26 x 26 x 26 x 10 x 10 x 10 x 10 = 175,760,000
Thus, a total of 175,760,000 different license plates are possible.
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suppose that n≠0 and n≠1. show that the substitution v=y1−n transforms the bernoulli equation dy/dx p(x)y=q(x)yn into the linear equation dy/dx (1−n)p(x)v(x)=(1−n)q(x).
The Bernoulli equation transforms into the linear equation using the substitution v=y¹⁻ⁿ or v=y¹⁻¹.
Given: Bernoulli equation dy/dx p(x)y=q(x)yn
Objective:
To prove that the substitution v=y1−n transforms the Bernoulli equation into the linear equation dy/dx (1−n)p(x)v(x)=(1−n)q(x)
Solution:
Given Bernoulli equationdy/dx p(x)y=q(x)yn ---(1)
Let v = y1−n
Taking derivative of v with respect to yv = y1−n
Taking derivative of v with respect to y and simplifying itv = (1-n)y⁻ⁿ
Substituting v into equation (1)dy/dx p(x)y=q(x)yn...(1)dy/dx p(x)(v¹⁻¹)ⁿ=q(x)(v¹⁻¹)
Now taking derivative of both sides with respect to x
Chain rule is used here(dy/dx)v = (dv/dx)y(dy/dx) = (dv/dx)(y¹⁻¹) or(dy/dx) = (dv/dx)(y¹⁻¹) ---(2)
Differentiating v = y1−n with respect to x will give(1-n)y⁻ⁿ(dy/dx) = (dv/dx) ...(3)
Substituting equations (2) and (3) in equation (1) will give
(dy/dx)(v) = (1-n)p(x)(y¹⁻¹)(dv/dx) = (1-n)q(x)(y¹⁻¹)v= y¹⁻ⁿ = y¹⁻¹(1-n) v = (y¹⁻¹)(y¹⁻ⁿ) v = (y¹⁻¹)(v)So v = y¹⁻¹ = y¹⁻ⁿ satisfies the linear equation dy/dx (1−n)p(x)v(x)=(1−n)q(x).
Therefore the Bernoulli equation transforms into the linear equation using the substitution v=y¹⁻ⁿ or v=y¹⁻¹.
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g use a linear approximation (or differentials) to estimate the given number. (round your answer to five decimal places.) 3 126
the linear approximation for 3√126 is approximately 5.06667, rounded to five decimal places.
To estimate the given number 3√126 using a linear approximation (or differentials), follow these steps:
Choose a nearby value that is easy to work with: For 3√126, we can choose 3√125 since 125 is a perfect cube (5^3). So, let our base point be x=125, and we want to estimate at x=126.
Compute the actual value at the chosen point: We know that 3√125 = 5, since 5^3 = 125.
Find the derivative of the function: Our function is f(x) = 3√x, so its derivative f'(x) = (1/3)x^(-2/3).
Compute the derivative at the chosen point: Plug x=125 into f'(x) to get f'(125) = (1/3)(125^(-2/3)) = (1/3)(5^(-2)) = 1/15.
Calculate the linear approximation: Use the formula L(x) = f(a) + f'(a)(x-a), where a is our chosen point (125) and x is the point we want to estimate (126). In this case, L(126) = 5 + (1/15)(126-125) = 5 + (1/15)(1) = 5 + 1/15.
Simplify the linear approximation: L(126) = 5 + 1/15 ≈ 5.06667.
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A rectangle has vertices at (0,0), (4,0), (4,3), (0,3). Give the base and height of three parallelograms with the same area
Answer:
The base and height of three parallelograms with the same area as the 12 square inches rectangle are
1) First parallelogram;
Base length of parallelogram = 4 units
Height of parallelogram, = 3 units
2) Second parallelogram
Base length of parallelogram = 6 units
Height of parallelogram, = 2 units
3) Third parallelogram
Base length of parallelogram = 5 units
Height of parallelogram, = 2.4 units
Step-by-step explanation:
The vertices of the rectangle are; (0, 0), (4, 0), (4, 3), and (0, 3)
Let ABCD represent the vertices of the rectangle such that we have;
A(0, 0), B(4, 0), C(4, 3), and D(0, 3)
The area of the rectangle, A = The length of AB × The length of CB
The length of AB = √((4 - 0)² + (0 - 0)²) = 4
The length of CB = √((4 - 4)² + (3 - 0)²) = 3
∴ The area of the rectangle, A = 4 × 3 = 12 square units
The area of a parallelogram = Base length × Height
The base and height of three parallelograms with the same area as the 12 square inches rectangle are;
1) Base length of parallelogram = 4 units
Height of parallelogram, = 3 units
The area of the parallelogram, A = Base × Height;
∴ A = 4 units × 3 units = 12 units²
2) Base length of parallelogram = 6 units
Height of parallelogram, = 2 units
The area of the parallelogram, A = Base × Height;
∴ A = 6 units × 2 units = 12 units²
3) Base length of parallelogram = 5 units
Height of parallelogram, = 2.4 units
The area of the parallelogram, A = Base × Height;
∴ A = 5 units × 2.5 units = 12 units².
Angle B measures 60°. What is the measure of the angle that is complementary to angle B? a.30° b.60° c.120° d.180°
The measure of the angle that is complementary to angle B is 30°.
Complementary angles are a pair of angles whose measures add up to 90°(Right angle)
To find the measure of the angle that is complementary to angle B, we need to subtract the measure of angle B from 90 degrees.
Given measure of angle B is 60°
60°+x° = 90°
(Let x° be the complementary angle to ∠B)
x° = 90°-60°
x° = 30°
∴ The measure of the angle that is complementary to angle B is 30°.
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Three times a number added to six is equal to five times the same number.
Answer: 4 times 3 equals 12, and that plus 6 is 18. 18 divided by 5 is not 4, sorry if i interpreted your statement wrong, but that is incorrect, or my brain is melting. Help.
Step-by-step explanation:
Durabright wants to establish kanbans to feed a newly installed work cell for its line of LED traffic signal lamps. The daily production (demand) rate for this new family of products is 105 units. The supplier lead time for the bulb housing, used by all products in this product family, is 9 days. They want to keep 1.25 days of safety stock of this housing on hand (the safety stock factor).
The kanban size for the bulb housing components is 44 units. How many kanbans do they require? (Display your answer to the most appropriate whole number.)
Durabright requires approximately 14 kanbans for the bulb housing components in their work cell for LED traffic signal lamps.
To calculate the number of kanbans required, we need to consider the daily demand rate, supplier lead time, safety stock factor, and kanban size.
The daily production rate (demand) for the LED traffic signal lamps is 105 units. Since the supplier lead time for the bulb housing is 9 days, we need to account for the demand during this time. Therefore, the total demand during the lead time is 105 units/day× 9 days = 945 units.
The safety stock factor is 1.25 days, which means Durabright wants to maintain 1.25 days' worth of safety stock for the bulb housing. This is equivalent to 105 units/day× 1.25 days = 131.25 units.
Now, we can calculate the total inventory required by adding the demand during lead time and the safety stock:
945 units + 131.25 units = 1076.25 units.
Next, we divide the total inventory required by the kanban size to determine the number of kanbans:
1076.25 units / 44 units/kanban = 24.46 kanbans.
Since kanbans cannot be fractional, we round up to the nearest whole number. Therefore, Durabright requires approximately 25 kanbans for the bulb housing components.
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Write equivalent fractions for 2/3 and 8/11 using the least common denominator.
Type the fractions, using a slash ( / ) to separate the numerator and denominator.
2/3 =
8/11 =
please give me the RIGHT answer immediately for the fractions using the least common denominator
The equivalent fraction for 2/3 and 8/11 is 22/33 and 24/33.
What is least common denominator?
The least common denominator (LCD) is the smallest number that can be a common denominator for a set of fractions. Also known as the lowest common denominator, it is the lowest number you can use in the denominator to create a set of equivalent fractions that all have the same denominator.
Given fractions are
2/3 and 8/11
L.C.M of 3 and 11 is 33.
We get,
2/3 ×11/11 = 22/33
and
8/11×3/3 = 24/33
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How many ounces of 50% alcohol solution must be mixed with 80 ounces of a 20% alcohol solution to make a 40% alcohol solution?
Could someone please help me with this?
Answer:
Equal
Equal
Equal
Supplementary
Step-by-step explanation:
Just learn the angles tbh, you will need them in the future
help me pls
Find the value of x.
Answer:
33
Step-by-step explanation:
The bottom angle is a completely straight line, and that means the angle is 180 degrees.
180 - 81 = 99
So, this means 3x = 99. We need to isolate the variable, so we have to divide everything by 3.
x = 33
Answer:
waaait i know how to do this lol ( i feel like this is correct)
x = 33
Step-by-step explanation:
so a line is 180 right?
so make the equation like this
180 = 81 + 3x
now solve for x by doing algebra
(minus both sides by 81)
3x = 99
x = 33