The length of AC using Sine rule is 126.54
The length of AC can be obtained using Sine rule , the length of AC in the triangle is b:
Angle A = 180 - (85 + 53) = 42°
substituting the values into the expression:
b/sinB = a/sinA
b/sin(85) = 85/sin(42)
cross multiply:
b * sin(42) = 85 * sin(85)
b = 126.54
Therefore, the length of AC is 126.54
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Solve 2x + y = 7 for y.
Answer:
y=7-2x
Step-by-step explanation:
math-way calculator is very helpful!
Find the solution to the
system 2x + 3y = 6 and
-2/3x
Answer:
I got 7 as the answer
Step-by-step explanation:
I hope this helps!!
Please help me ASAP...
The equation that has one solution will be 4m + 5 = 25. Then the correct option is B.
The equation that has infinitely many solutions will be 2x + 7 - 2x = 7. Then the correct option is C.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
If the variable and constant get eliminated then the equation has infinitely many solutions. If the variable gets eliminated then the equation has no solution.
7. Let's check option B, then we have
4m + 5 = 25
4m = 20
m = 5
8. Let's check option C, then we have
2x + 7 - 2x = 7
2x - 2x = 7 - 7
The equation that has one solution will be 4m + 5 = 25. Then the correct option is B.
The equation that has infinitely many solutions will be 2x + 7 - 2x = 7. Then the correct option is C.
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Tuition for one year at Tarleton University is about $14,500. McKenzie wants to attend this university and will save money each month for the next 4 years. Her father will give her $6300 for her first year of tuition, and she received a $3,000 Grant. What is the amount of money McKenzie must save per month to have enough money to pay for her first year of tuition?
Answer:
5200
Step-by-step explanation:
You know that she needs 14,500 for her first year
she has a total of 3000+6300 so far
To find out how much she needs just take the difference
14500-(3000+6300)=5200
what is the circumfrence of a circle with a diameter of 36 inches in terms of pie
A plant’s growth rate is observed and recorded for a science experiment. The observer notes that on week 2, the plant is 4 inches high. On week 5, the plant is 13 inches high.
Part A: Write an equation in point-slope form that could model the relationship between the week, x, and the height of the plant, y.
Answer:
y - 13 = 3(x - 5)
Step-by-step explanation:
x represents week and y represents inches. Week 2 and week 5 = 2 to 5 = three number difference. The inches which is 4 and 13 have a 9 inched difference. So like I said week represents x and y represent inches so now u have to find the slope, which would be y/x so replace it with the numbers we got so it would now be 9/3. The simplified version would be 3. So the slope is 3.
Point-slope equation: y-y^1=m(x-x^1), y^1 and x^1 are just some random points on the graph, but since we don't have a graph we can use either week 2 and 4 inches or week 5 and 13 inches because if this were a graph, those would be existing points on the graph. And m is the slope so just replace m with 3. We'll use 5 and 13 so: y - 13 = 3(x - 5)
side note: kinda took a long time sorry haha, I had to refresh my knowledge on point-slope equations since it's been a long time since i learned it.
What is used to periodically check that a process is in statistical control?
a. sampling
b. scrap parts
c. the process is only measured in the beginning 100 percent inspection.
Statistical process control (SPC) is a technique used in quality control to monitor and control a process over time
What is used to periodically check that a process is in statistical control?
a. sampling
b. scrap parts
c. the process is only measured in the beginning 100 percent inspection.
a. Sampling is used to periodically check that a process is in statistical control.
Statistical process control (SPC) is a technique used in quality control to monitor and control a process over time. SPC involves collecting and analyzing data on the process, and using statistical methods to determine whether the process is in statistical control (i.e., producing consistent and predictable results) or is out of control (i.e., producing inconsistent or unpredictable results).
One way to monitor a process using SPC is to use sampling. This involves taking a sample of parts or products from the process at regular intervals, and measuring certain characteristics of the sample (such as dimensions, weight, or color). The data collected from the samples can then be analyzed using statistical methods to determine whether the process is in control or out of control.
If the data collected from the samples indicates that the process is out of control (i.e., producing inconsistent or unpredictable results), corrective action can be taken to bring the process back into control. By regularly monitoring and adjusting the process using SPC techniques like sampling, organizations can ensure that their processes are producing consistent and high-quality results.
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If a coin is flipped four times, find the probability distribution for the number of heads. Listed below are four charts. Choosethe chart that best evaluates the data.a. Chart Ab, Chart Bc. Chart Cd. Chart D
If a coin is flipped four times, find the probability distribution for the number of heads. The correct option is (c) is Chart C.
In probability theory and statistics, a probability distribution is a mathematical function that gives the probability of occurrence of various possible outcomes of an experiment. This is a mathematical description of a random phenomenon in terms of sample space and event probabilities (a subset of the sample space).
For example, if X is used to denote the result of a coin toss ("experimental"), the probability distribution of X gives the value 0.5 (1 to 2 or 1/2) for X = table. and assume that: 0, 5 for X = tail (assuming the coin is fair). Examples of random phenomena are the weather conditions at a later date, the height of a randomly selected person, the proportion of boys in a school, or the results of a survey being conducted.
General Properties of Probability Distributions
Statisticians call variables that follow probability distributions random variables. The notation for a random variable that follows a particular probability distribution function is
X usually represents a random variable.
Tilde (~) indicates follow distribution.
Upper case indicates distribution. B. N for normal distribution.
Bracket contains the parameters of the distribution.
For example, X ~ N (µ, σ) represents a normally distributed distribution with population mean µ and standard deviation σ. The distribution of IQ scores is represented as X ~ N (100, 15).
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what is the magnitude of the net electric field at point p due to the particles?
The magnitude of the net electric field at point P due to the particle is 0 . explanation is given as
let us assume that , The charges of the four particles and the distance are given then on understanding the concept of electric field at electrostatics concept. on using the concept of the electric field at any given point, then production of individual electric field by a charge. and we known the concept of superposition law, on applying the law we get the value of the electric field in its direction and this shows the determination of the net electric field at that point.
The magnitude of the electric field,
E = q * R
where R = The distance of field at point from the charge, and q = charge of the individual particle
According to the superposition principle, the electric field at a single point due to more than one charges present ,hence on calculation of net electric field we get the origin of the coordinate system which is placed at point P and the y-axis is situated and oriented in the direction of the charge, (passing through the charge, ). The x-axis which is perpendicular to the y axis, and thus passes through the identical charges, then the individual magnitudes of an electric field is due to the charges are demonstrated by using the absolute signs of the charges. Now let us assume that the point charge which being positive i.e ( q > 0), we can see that the contributions coming from each charge gets cancel to each other. Therefore the net electric field in the direction of the y-axis is given using equation as E= 0
hence the net electric field is zero .
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A = 78', b = 12.3, c = 20.2
Answer:
yay u got your answer:))
but seriously what is your question?:))
Car A travels 60 miles per hour for 1½ hours; Car B
travels 40 miles per hour for 2 hours. What is the
difference between the number of miles traveled by
Car A and the number of miles traveled by Car B ?
F.
0
10
H.
80
90
K. 170
One is a head of the other
he 3233 people residing in the state of oz want their yellow brick road repaved. it could be repaved with standard asphalt for a cost of $129711 or with shimmering gold asphalt for $6327777 . the senator that represents oz in the national legislature argues that the yellow brick road is a national treasure and a tourist attraction. as such, the senator argues that the nation of 3517177 people should pay for the repaving. round your answer to two decimals for all of the following questions. what is the cost per person if the national government pays for gold asphalt? what is the cost per person if the state of oz pays for gold asphalt?
If the national government pays for the shimmering gold asphalt, the cost per person can be calculated by dividing the total cost by the population of the nation. In this case, the cost is $6,327,777, and the national population is 3,517,177 people.
Cost per person (national government) = Total cost / National population
Cost per person (national government) = $6,327,777 / 3,517,177
Cost per person (national government) ≈ $1.80 (rounded to two decimals)
If the state of Oz pays for the gold asphalt, we need to divide the total cost by the population of Oz, which is 3,233 people.
Cost per person (state of Oz) = Total cost / Oz population
Cost per person (state of Oz) = $6,327,777 / 3,233
Cost per person (state of Oz) ≈ $1,956.09 (rounded to two decimals)
So, if the national government pays for the gold asphalt, the cost per person is approximately $1.80. If the state of Oz pays for it, the cost per person is approximately $1,956.09.
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Find the value of 7p – 3q when p= 8 and q = -5
Step-by-step explanation:
7p – 3q
if p= 8 and q = -5
7(8)-3(-5)
56+15
=71
Answer:
71
Step-by-step explanation:
7(8)-3(-5)
56-(-15)
71
f(x) = 1 + 4x 1
Find the value of x when f(x) = 15.
Answer:
the value of x when f(x) = 15 is 3.5.
Step-by-step explanation:
We are given that:
f(x) = 1 + 4x
We need to find the value of x when f(x) = 15.
So we can set up the equation:
1 + 4x = 15
Subtracting 1 from both sides, we get:
4x = 14
Dividing both sides by 4, we get:
x = 14/4
Simplifying, we get:
x = 3.5
Therefore, the value of x when f(x) = 15 is 3.5.
Compare and contrast the formulas for calculating the volume of a cone and the volume of a pyramid. Give a mathematical example to illustrate your discussion.
The similarity between the volume of a cone and the volume of a pyramid is that:
Both of them have a base which extends into a single vertex.Both formulas are given by 1/3 × b × h.In contrast, the differences between the volume of a cone and the volume of a pyramid include:
A cone has a single edge while a pyramid has a minimum of 6 edges.The base of a cone is always a circle while the base of a pyramid is a polygon.How to calculate the volume of a cone?Mathematically, the volume of a cone can be calculated by using this formula:
V = 1/3 × πr²h
Where:
h is the height.r is the radius.How to calculate the volume of a pyramid?Mathematically, the volume of a pyramid can be calculated by using this formula:
Volume = 1/3 × b × h
Where:
h is the height.b is the base area.In this context, we can infer and logically deduce that the similarity between the volume of a cone and the volume of a pyramid is that:
Both of them have a base which extends into a single vertex.Both formulas are given by 1/3 × b × h.On the other hand (conversely), the differences between the volume of a cone and the volume of a pyramid include:
A cone has a single edge while a pyramid has a minimum of 6 edges.The base of a cone is always a circle while the base of a pyramid is a polygon.Read more on pyramids here: https://brainly.com/question/23215508
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Find the midpoint of the line segment with end coordinates of:
(
−
4
,
−
2
)
and
(
−
2
,
−
10
)
Answer:
this is the answer (-3,-6)
Find the value of x.
Answer: 6
Step-by-step explanation:
1. 3x - 6 = 12
2. add 6 to both sides
3. 3x = 18
4. x=6
I hope this is right
Which one is it? I need help plzzzz
how do i find the median in this question.
eu9ewg0u8wei08
Step-by-step explanation:
jiwfoiqwfqeoufhqeio0hfqifh0qoio
83.2x 0.1 i need help pls
Answer:
8.32
Step-by-step explanation:
All you have to do to solve this is move the decimal point 1 place to the left. This will make the answer 8.32.
If this has helped please mark as brainliest
Answer:
8.32
Step-by-step explanation:
When you multiply a number like 0.1 or 0.01, you simply move or add a decimal to the other number. Good luck and Have a great day =)
Letf(x, y) = 2ex − y.Find the equation for the tangent plane to the graph of f at the point
The final equation for the tangent plane to the graph of f at the point (a, b) is z = 2e^a(x - a) - y + 2e^a - 2b. This equation represents the plane that is tangent to the graph of f at the specified point (a, b).
To find the equation for the tangent plane to the graph of the function f(x, y) = 2e^x - y at a given point (x0, y0), we need to calculate the partial derivatives of f with respect to x and y at that point.
The partial derivative of f with respect to x, denoted as ∂f/∂x or fₓ, represents the rate of change of f with respect to x while keeping y constant. Similarly, the partial derivative of f with respect to y, denoted as ∂f/∂y or fᵧ, represents the rate of change of f with respect to y while keeping x constant.
Let's calculate these partial derivatives:
fₓ = d/dx(2e^x - y) = 2e^x
fᵧ = d/dy(2e^x - y) = -1
Now, we have the partial derivatives evaluated at the point (x0, y0). Let's assume our point of interest is (a, b), where a = x0 and b = y0.
At the point (a, b), the equation for the tangent plane is given by:
z - f(a, b) = fₓ(a, b)(x - a) + fᵧ(a, b)(y - b)
Substituting fₓ(a, b) = 2e^a and fᵧ(a, b) = -1, we have:
z - f(a, b) = 2e^a(x - a) - (y - b)
Now, let's substitute f(a, b) = 2e^a - b:
z - (2e^a - b) = 2e^a(x - a) - (y - b)
Rearranging and simplifying:
z = 2e^a(x - a) - (y - b) + 2e^a - b
The final equation for the tangent plane to the graph of f at the point (a, b) is z = 2e^a(x - a) - y + 2e^a - 2b.
This equation represents the plane that is tangent to the graph of f at the specified point (a, b).
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Find the sum of the first 6 terms of the following series, to the nearest integer.
11, 22, 44,...
Answer:
693
Step-by-step explanation:
11, 22, 44, 88, 176, 352
11 + 22 + 44 + 88 + 176 +352 = 693
At the beginning of year 1, Zack invests $700 at an annual compound interest
rate of 3%. He makes no deposits to or withdrawals from the account.
Which explicit formula can be used to find the account's balance at the
beginning of year 5? What is the balance?
Answer:
https://brainly.com/question/5028859
Step-by-step explanation:
Go to this link and your question will be answered.
Warm-Up
o
Which are solutions of the equation (x + 5)(x - 3) = 0? Check all that apply.
O x= -15
O x= -5
O x= -3
O x= 2.
O x= 3
O x = 5
Write an equivalent expression 2x + 3 + 5x + 6 by combining like terms.
Please help I need it fast!!!!!!
Answer:
Step-by-step explanation:
Which line has a slope of 1/2?
Answer:
Line B
Step-by-step explanation:
The slope is the rise over run of a line, in this case is rise of 1 unit over the run of 2 units
Zachary bought 8.25 pounds of red, white, and blue candies for his Fourth of July party. If 2.5 pounds of the candies are red, and 3.75 pounds are blue, how many pounds of candy are white? Show your work. Zachary bought 8.25 pounds of red, white, and blue candies for his Fourth of July party. If 2.5 pounds of the candies are red, and 3.75 pounds are blue, how many pounds of candy are white? Show your work. Zachary bought 8.25 pounds of red, white, and blue candies for his Fourth of July party. If 2.5 pounds of the candies are red, and 3.75 pounds are blue, how many pounds of candy are white? Show your work. Zachary bought 8.25 pounds of red, white, and blue candies for his Fourth of July party. If 2.5 pounds of the candies are red, and 3.75 pounds are blue, how many pounds of candy are white? Show your work.
Answer: 2.0 pounds
Step-by-step explanation:
Total pounds of candy bought = 8.25
Candies that are red = 2.5
Candies that are blue = 3.75
Candies that are white willbthen be:
Total pounds bought - (Red + Blue)
= 8.25 - (2.5 + 3.75)
= 8.25 - 6.25
= 2.0 pounds
The amount of time you have to wait at a particular stoplight is uniformly distributed between zero and two minutes. Eighty percent of the time, the light will change before you have to wait how long?
The value of x is 96 seconds if the amount of time you have to wait at a particular shoplift is uniformly distributed between zero and two minutes.
What is a percentile?A percentile is a score that relates one rating to the scores of the rest of the group. It represents the proportion of scores that a given score surpassed.
We have:
x = 0
y = 120 seconds
Percentile:
= x + (y - x)p
= 0 + (120 - 0)0.8
p = 80% = 0.8
Percentile = 96 seconds
Thus, the value of x is 96 seconds if the amount of time you have to wait at a particular shoplift is uniformly distributed between zero and two minutes.
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simplify the following expression to a minimum number of literals (x y)'(x' y')'
The simplified expression is: x'y
To simplify the given expression (x y)'(x' y')', we can apply Boolean algebra rules and De Morgan's laws.
Let's break down the expression step by step:
The complement of a conjunction (AND) is the disjunction (OR) of the complements:
(x y)' = x' + y'
Apply De Morgan's laws to the second part of the expression:
(x' y')' = (x' + y')'
De Morgan's laws state that the complement of a disjunction (OR) is the conjunction (AND) of the complements, and vice versa:
(x' + y')' = (x')'(y')' = x y
Now, substitute the simplified expressions back into the original expression:
(x y)'(x' y')' = (x' + y')(x y) = x'y
Therefore, the simplified expression is x'y, which is the minimum number of literals needed to represent the original expression.
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BIG DATA AND MACHINE LEARNING Economics, ASAP = upvote. Homework question. We are running a regression with 19 input variables. How many possible regression models would result were we to choose a model including a subset of those input variables?
We have 19 input variables, the calculation would be \(2^1^9\), resulting in 524,288 possible regression models.
If you are running a regression with 19 input variables and want to choose a model including a subset of those variables, there would be a total of 524,288 possible regression models that can be formed.
To determine the number of possible regression models, we need to consider the power set of the input variables. The power set of a set includes all possible subsets that can be formed from the original set, including the empty set and the set itself. In this case, the power set would represent all the possible combinations of including or excluding the 19 input variables in the regression model.
The number of elements in the power set can be calculated by raising 2 to the power of the number of input variables. Since we have 19 input variables, the calculation would be \(2^1^9\), resulting in 524,288 possible regression models.
It's important to note that while there are a large number of possible regression models, not all of them may be meaningful or useful in practice. Selecting the most appropriate subset of variables for a regression model typically involves considerations such as statistical significance, correlation analysis , domain knowledge, and model evaluation techniques to identify the most predictive and relevant variables for the specific problem at hand.
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