Answer:
I'm pretty sure it is 2ab×(a+3b)
2^8 in standard form
Answer: 256
Step-by-step explanation:
2^8=2*2*2*2*2*2*2*2=256
Use the following stem-and-leaf plot to answer the question.
What is the median?
The median of the stem-and-leaf plot is 23
What are the Miller indices for the plane shown in the following cubic unit cell and Explain why? O (201) O (10 1/2) O (1 infinity 1/2) O (102)
The plane intercepts on the x,y, z axes are 1, ∞, and 1/2. Hence, the Miller indices for the plane inside the cubic unit cell is (102).
Miller indices are used to specify planes and directions. These planes and directions could be in lattices or crystals. The number of indices will correspond to the size of the lattice or crystal.
Steps to find the Miller indices:Determine intercepts of the planes with the x, y, and z axes.Use fractional coordinates to specify intercepts.Take the reciprocals of the fractional interceptsIn the given graph, the plane intercepts are:
x-intercept : 1
y-intercept : ∞ (since the planes does not intercept y-axes)
z-intercept = 1/2
Take the reciprocal:
1/1 = 1
1/∞ = 0
1/(1/2) = 2
Hence, the miller indices are (102)
The graph in your question is missing. Most likely it was like on the attached picture.
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Identify the sample space of the probability experiment and determine the number of outcomes in the sample space Randomly choosing an even number between 1 and 10, inclusive
The sample space is______. (Use a comma to separate answers as needed. Use ascending order) There are________outcome(s) in the sample space.
Answer:
Step-by-step explanation:
Sample Space
off even numbers
= {2,4,6,8,10}.
There are 5 outcomes in the sample space,
2. You work at a fish hatchery and must maintain water temperature and population of fish within certain parameters. Most fish need the temperature to be about 58°F, with a tolerance of plus or minus 15 degrees.
a. Write an absolute value inequality to represent the water temperature and solve it.
b. Graph the inequality on a sheet of paper and explain the graph of your solution set and what it means in the context of this problem.
c. The tanks where the fish are held can have a population of fish within 10 fish of 200 to maintain a safe environment. Write an absolute value inequality to represent the population of fish and solve it. Graph the inequality and explain the graph of your solution set and what it means in the context of this problem.
a. An absolute value inequality to represent the water temperature is |T - 58| ≤ 15.
b. A graph of the inequality is shown below and the solution set represent the range of water temperature that the fish can tolerate.
c. An absolute value inequality to represent the population of fish is |P - 200| ≤ 10.
How to write an absolute value inequality?In order to write and solve an absolute value inequality that represents the water temperature, we would assign the variable T to the water temperature. Therefore, the required absolute value inequality can be written as follows;
|T - 58| ≤ 15
-15 ≤ T - 58 ≤ 15
-15 + 58 ≤ T - 58 + 58 ≤ 15 + 58
43 ≤ T ≤ 73
Part b.
In this scenario and exercise, we would plot the water temperature on the x-axis of a cartesian coordinate by using an online graphing tool as shown in the image attached below.
Additionally, the solution set (43, 0) and (73, 0) is the shaded portion of the graph and it represents the range of water temperature that this population of fish can tolerate.
Part c.
In order to write and solve an absolute value inequality that represents the population of fish, we would assign the variable P to the population of fish. Therefore, the required absolute value inequality can be written as follows;
|P - 200| ≤ 10
-10 ≤ P - 200 ≤ 10
-10 + 200 ≤ P - 200 + 200 ≤ 10 + 200
190 ≤ P ≤ 210
In conclusion, the solution set (190, 0) and (210, 0) is the shaded portion of the graph and it represents a safe environment for the population of fish.
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According to a PEW Research Center survey, the mean student loan at graduation is $25,000. Suppose that student loans are normally distributed with a standard deviation of $5,000. A graduate with a student loan is selected at random. Find the following probabilities.
a. The loan is greater than $30,000.
b. The loan is less than $22,500.
c. The loan falls between $20,000 and $32,000.
The probability that a randomly selected graduate will have a student loan greater than $30,000 is 0.1587, the probability that the loan is less than $22,500 is 0.3085, and the probability that the loan falls between $20,000 and $32,000 is 0.8186.
Let X be a random variable representing the student loans of graduates. Then, X ~ N(μ = 25,000, σ = 5,000). To find the probabilities, we need to standardize the values using the standard normal distribution, Z ~ N(0, 1), where Z = (X - μ) / σ.
a. P(X > 30,000) = P(Z > (30,000 - 25,000) / 5,000) = P(Z > 1) = 0.1587
b. P(X < 22,500) = P(Z < (22,500 - 25,000) / 5,000) = P(Z < -0.5) = 0.3085
c. P(20,000 < X < 32,000) = P((20,000 - 25,000) / 5,000 < Z < (32,000 - 25,000) / 5,000) = P(-1 < Z < 1.4) = 0.8186
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What is the cost of 6 pencils at $0.60 a dozen? __________ cents.
Answer:
$0.30
Step-by-step explanation:
$0.60 = 12
0.60 divided by 2 is 0.30
$0.30
Answer:
6 pencils x $0.6 = $3.6
Step-by-step explanation:
hope this helps
Can somebody answer these 2 questions
Answer:
2. 12.08
3. 7.74
Step-by-step explanation:
a squared + b squared = c squared
2. 5 squared = 25, 11 squared = 121, 25 + 121 = 146, the squre root of 146 is 12.08
3.19 squared = 361, 421 - 361 = 60 60 squared = 7.74
Answer:
For 2 the answer is 12. For 3 the answer is 28.
Step-by-step explanation:
These may be wrong but hopefully they are correct
My work:
\(5^2+11^2=146\) then \(\sqrt{146} = 12.08\)
\(\sqrt{421}=20.5\) \(19^2+20.5^2=781.25\) then \(\sqrt{781.25} =28\)
. a boy or a girl? assume that the probability of the birth of a child of a particular sex is 50%. in a family with four children, what are the probabilities that (a) all the children are boys, (b) all the child
(a) The probability of having all six children be girls is (1/2)^6, or 1/64.
(b) The probability of having all six children be the same sex (either all boys or all girls) is (1/2)^6 + (1/2)^6, or 2/64, or 1/32.
(c) The probability of having at least one boy is 1 - 1/64, or 63/64
The probability of having a child of a particular sex is 50%. Given a family with six children, we can calculate the probability of each event as follows:
(a) All the children being girls: the probability is (1/2)^6, or 1/64.
(b) All the children being the same sex (either all boys or all girls): the probability is (1/2)^6 + (1/2)^6, or 2/64, or 1/32.
(c) At least one boy being in the family: the probability is 1 - (1/2)^6, or 63/64. This can be calculated by finding the probability of having no boys (all girls) and then subtracting it from 1.
In summary, the probability of having a particular outcome in a family with six children depends on the number of children of each sex and can be calculated using the formula (1/2)^n, where n is the number of children of a particular sex.
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Complete question:
Assume that the probability of the birth of a child of a particular sex is 50%. In a family with six children, find the probability of each event.
(a) All the children are girls.
(b) All the children are the same sex.
(c) There is at least one boy.
Find the median and mean of the data set below: 35 , 28 , 19 , 18
Answer:
Hi there!
Your answer is:
Median: 23.5
Mean: 25
Step-by-step explanation:
The mean is the average of all the numbers in your dataset. You determine this by adding all the numbers together and dividing by the # of numbers in your set!
35+28+19+18 = 100.
100/4 = 25
The median is the middle number of your data set! This is determined by counting off the numbers from each side of the equation after setting them in order from least to greatest. If there are 2 remaining, you must find the average of those!
35 , 28, 19 , 18 from least to greatest is
18, 19, 28, 35
/. /
Now find the average of 19 and 28!
19+28 = 47
47/2 = 23.5
Answer:
Step-by-step explanation:
Find the median and mean of the data set below:29,39,28,5029,39,28,50
Which equations have no solution?
a. 3x-y=2, 9x-3y=6
b. 4x-7y+28=0, 5y-7x+9=0
c. 3x-5y-11=0, 6x-10y-7=0
d. None of these
Answer:
C has no solution
Step-by-step explanation
A. x=7, y=8
B. x=2/3 +1/3
NO LINKS PLEASE!
54 is equal to 75% of a number n. Write and solve an equation to find n. Write the percent as a decimal.
Answer:
Set this up as a proportion.
54/n = 75/100
Now solve for n and finish from here.
Can i also have brain or a heart :)
Answer:
x would equal 72
Step-by-step explanation:
you can find a percent but there is already a percent showing. So the answer should be 72.
When you're trying to find the answer to these problems you should check if there is a percent part and whole. In this question, there is already a percent and a part so you would just try to find the whole.
Partial Question 4 Determine the limit of the sequence (1) {2} [Select] n+3 (2) { (+³)"} [Select] (3) {n sin()} [Select] (4) {sin(nπ)} [Select] Answer 1: the limit DNE, the sequence diverges Answer
The limit of the sequence (1) {2}, (2) {(-1)^n}, and (3) {n sin(n)}, converges to DNE (does not exist) or the sequence diverges. The limit of the sequence (4) {sin(nπ)} is undefined, as it oscillates between -1 and 1.
In the case of sequence (1) {2}, the limit is a constant value, and the sequence converges to that value. However, in the case of sequence (2) {(-1)^n}, the sequence oscillates between -1 and 1, and there is no single value that it approaches as n tends to infinity. Therefore, the limit does not exist, and the sequence diverges.
Sequence (3) {n sin(n)} also does not have a limit as n tends to infinity. The term n sin(n) oscillates between positive and negative values without approaching a specific value. Hence, the limit of this sequence is DNE, and it diverges.
In the case of sequence (4) {sin(nπ)}, the term sin(nπ) oscillates between -1 and 1 as n varies. Since there is no convergence to a specific value, the limit of this sequence is undefined.
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below is the graph of f(x)= 2 in (x). how would you describe the graph of g(x)=4 in (x)
9514 1404 393
Answer:
vertical expansion by a factor of 2
Step-by-step explanation:
g(x) = 4ln(x) = 2(2ln(x)) = 2f(x)
g(x) is a vertically expanded version of f(x) -- by a factor of 2.
I NEED HELP ASAP!!!
1 + 1 = ?
please hand solve and show steps
(a) Find the dual of the LP .
(b) Find the standard form of the LP and dual.
(c)Optimal solution for the primal problem is: x ∗ 1 = 20, x∗ 2
= 60, s∗ 1 = 0, s∗
objective m constraints n decision variables Consider the following LP. Primal and Dual pair min b₁y₁+ max C₁x₁++GX+ CnXn 8/1X1 +2X2 + + ax ≤ bi ax1 + a2x2 + +anxn bi a/1X1 + a2x2 + +anxn 2
(a) Find the dual of the LP.Primal problem isminimize \($b_1y_1+C_1x_1+...+C_nx_n$\) subject to \($a_{11}x_1+a_{12}x_2+...+a_{1n}x_n \leq\) \(b_1$...$a_{m1}x_1+a_{m2}x_2+...+a_{mn}x_n \leq b_m$ and $x_1, x_2,\)..., x_n\(\geq 0$\)
Let us find the dual of the above primal problem.
Dual problem ismaximize \($b_1y_1+...+b_my_m$\)subject to \($a_{11}y_1+a_{21}y_2+...+a_{m1}y_m \leq\)\(C_1$...$a_{1n}y_1+a_{2n}y_2+...+a_{mn}y_m \leq C_n$\)
and\($y_1, y_2, ..., y_m \geq 0$\)
(b) Find the standard form of the LP and dual.Standard form of the primal problem isminimize \($b_1y_1+C_1x_1+...+C_nx_n$\)subject to \($a_{11}x_1+a_{12}x_2+...+a_{1n}x_n +s_1 = b_1$...$a_{m1}x_1+a_{m2}x_2+...+a_{mn}x_n +s_m = b_m$\) and\($x_1, x_2, ..., x_n, s_1, s_2, ..., s_m \geq 0$\)
Standard form of the dual problem ismaximize \($b_1y_1+...+b_my_m$\)subject to \($a_{11}y_1+a_{21}y_2+...+a_{m1}y_m \leq 0$...$a_{1n}y\)
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Congratulations! Imagine you were recently hired at a job where you will earn $42,000 dollars a year. Answer these questions:
Calculate what your monthly salary will be before taxes.
Calculate what your monthly take home pay will be after deductions for taxes and healthcare. You can estimate 12.86% for state and federal income taxes plus 8.65% for FICA taxes, or you can research to identify the exact percentages. You can also estimate $250 per month in healthcare deductions and $15 per month for dental.
Monthly salary before taxes = $3500
Monthly salary after taxes and healthcare = $2482.15
What is subtraction?Subtraction is an operation used to find the difference between numbers. When you have a group of objects and you take away a few objects from it, the group becomes smaller.
Given,
Annual salary in job = $42000
Monthly salary = $42000/12 = $3500
State and federal income tax = 12.86% = 0.1286
State and federal income tax on salary
= $42000 × 0.1286
= $5401.2
FICA tax = 8.65% = 0.0865
FICA tax on salary
= $42000 × 0.0865
= $3633
Healthcare estimate is $250 per month
Total healthcare estimate in year = $250×12 = $3000
Dental estimate is $15 per month
Dental estimate in year = $15×12 = $180
Annual salary after taxes and healthcare
= $42000 - $5401.2 - $3633 -$3000 -$180
= $29785.8
Monthly salary after taxes and healthcare = $29785.8/12 = $2482.15
Hence, $3500 is monthly salary before taxes.
$2482.15 is monthly salary after taxes and healthcare.
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Can someone pls answer this
How do these numbers compare?
Drag the correct comparison symbol to the box.
10.09 10.9
< = >
Addressing issue at hand, we can state that the correct linear equation comparison symbol to the box. 10.09 10.9 f < = > is => 10.09 < 10.9
What is a linear equation?The algebraic equation y=mx+b is known as a linear equation. M serves as the y-intercept, and B serves as the slope. The previous clause has two variables, y and x, and is sometimes referred to as a "linear equation with two variables". Bivariate linear equations are those with two independent variables. The following are a few examples of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When an equation takes the form y=mx+b, with m denoting the slope and b denoting the y-intercept, it is referred to as being linear. The term "linear" refers to an equation having the form y=mx+b, where m stands for the slope and b for the y-intercept.
the correct comparison symbol to the box.
10.09 10.9
< = >
10.09 < 10.9
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how have the lines been transformed? Line B is ___, ___, and shifted ___.
A line is said to be flat when it has a small slope, while a line is said to be steep when it has a large slope.
Let's find the slope of both lines.
Apply the slope formula:
\(m=\frac{y2-y1}{x2-x1}\)• Slope of line A
Take the points:
(x1, y1) ==> (-1, 1)
(x2, y2) ==> (-2, 4)
\(m=\frac{4-1}{-2-(-1)}=\frac{4-1}{-2+1}=\frac{3}{-1}=-3\)• Slope of line B
Take the points:
(x1, y1) ==> (4, -1)
(x2, y2) ==> (0, -1)
\(m=\frac{-1-(-1)}{4-0}=\frac{-1+1}{4-0}=\frac{0}{4}=0\)The slope of line A is -3( negative slope)
The slope of line B is 0
The greater the slope, the steeper the line.
• Since line B has a greater slope than line A, we can say it is steeper.
,• Also since Line B is a horizontal line, it is flatter than line A
,• The slope of a horizontal line is greater than the slope of a line with a neagtive slope, we can say that line B shifted upward
Thus, we can say:
Line B is flatter, horizontal and shifted upward
ANSWER:
Line B is flatter, horizontal, and shifted upward
20 points
Each pail of plaster covers 95 square feet of ceiling. How many pails of
plaster would you need to buy to cover the ceiling of a room with walls 15
feet long?
COMBINING LIKE TERMS
4x² 7+2x - 3x² + 8x - 6
Can someone please help me with this
please help me i dont get it
Mick gives roping lessons at the Sundown Corral. A 3-hour lesson costs $120.00. The cost of a lesson is proportional to the duration, in hours, of the lesson. What is the constant of proportionality in terms of dollars per hour?
A.40
B.45
C.50
D. 35
The constant of proportionality in terms of dollars per hour is A 40.
What is a constant of proportionality?The constant of proportionality is used to illustrate the constant relationship between the variables.
In this case, a 3 hour lesson costs $120.00 and the cost of a lesson is proportional to the duration, in hours, of the lesson.
The constant will be the division of the values. This will be:
= $120 / 3
= $40
The correct option is A
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A rental truck costs $96 per day plus $0.60 per each mile. If Calvin can spend a maximum of $120, how many miles can he drive the rental truck?
Cost of renting a truck for one day = $96
Money Calvin can spend = $120
Money left with Calvin after he spends on the daily rent :
\( = \tt120 - 96\)
\( = \tt\$ 24\)
Cost charged per mile = 0.60
Number of miles he can drive the rental truck :
\( =\tt 24 \div 0.60\)
\( = \color{plum}\tt40 \: \: miles\)
Thus, number of miles he can run the truck = 40 miles
Therefore, Calvin can run the truck for 40 miles after he pays the daily fee.
PLEASE HELP
i need to find the right postulate
The triangles ΔWNR and ΔBNR are congruent to each other by ASA postulates. Then the correct option is B.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
The line segment NR bisects angle ∠WRB and ∠WNB.
In triangles ΔWNR and ΔBNR, then we have
∠WNR = ∠BNR (Given)
∠WRN = ∠BRN (Given)
NR = RN (Common sides)
The triangles ΔWNR and ΔBNR are harmonious with one another as ASA proposes. Then the right choice is B.
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Laura can drive her car 260 miles on 10 gallons of gasoline. Michael can drive his car 280 miles on
4 gallons of gasoline. Who can drive farther on 20 gallons of gasoline? Complete the ratio tables to
justify your solution.
A cooking instructor stated that 5 pounds of roast beef is needed to serve 8 people. Based on the instructor's statement, which of the following equations can be used to find r, the number of pounds of roast beef needed to serve 12 people?
Answer:
r = 5:8
Step-by-step explanation:
5 pound to 8 people
Question 2 (Essay Worth 10 points)
(06.03 MC)
Use the expression 5(6 + 4x) to answer the following:
Part A: Describe the two factors in this expression. (4 points)
Part B: How many terms are in each factor of this expression? (4 points)
Part C: What is the coefficient of the variable term? (2 points) HELP NOWWWW PLSSSS
Part A
The two factors are 5 and 4x+6.
5 is a constant.4x+6 is a binomial.Part B
The first factor, 5, has 1 term.
The second factor, 4x+6, has 2 terms.
Part C
The coefficient of the variable term is 4.
The equation of a rational function does not have to contain a expression.O A. True O B. False
Answer: B = False
Step-by-step explanation: Doesn't need one mainly because a rational function has an equation and no expression, most rational functions may have one. For example 2x + 7 x + 5x = ???
In simplest form, what is the quotient of 1/6 divided by 2/9?