What is the slope of the following equation?
Answer: 2-
Step-by-step explanation:
State the practical meaning of the slope and y-intercept for the situation described. the value, in dollars, of a particular kx37b computer is given by v = -412.48x 6843, where x is the number of years the computer has been in existence. a. -412.48 signifies the amount of depreciation in one year, and 6843 signifies the initial cost. c. -412.48 signifies the hourly cost of repairs, and 6843 signifies the cost of software. b. -412.48 signifies the number of computers owned, and 6843 signifies the cost of electricity. d. 6843 signifies the amount of depreciation in one year, and -412.48 signifies the initial cost.
The value, in dollars, of a particular KX37B computer, is given by V = -412.48x + 6843, where x is the number of years the computer has been in existence 412.48 signifies the amount of depreciation in one year, and 6843 signifies the initial cost. (Option A)
A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. We determine the value of the variable x as x = 7 by solving this equation.
V = -412.48x + 6843, where x is the age of the computer in years, calculate the worth of a specific KX37B computer in dollars.
x is the number of years the computer has been in existence, and 6843 will give us the starting amount, therefore -412.48 represents the amount of depreciation in one year and 6843 represents the beginning cost.
Therefore, the annual depreciation is represented by -412.48, while the starting cost is represented by 6843.
Therefore, option A is correct.
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the boxplot shows the fuel economy ratings for 67 subcompact cars with the same model year. some summary statistics are also provided. the extreme outlier is an electric car whose electricity usage is equivalent to 112 miles per gallon. if that electric car is removed from the data set, how will the standard deviation be affected? the iqr?
Removing the electric car from the data set will reduce the standard deviation as the extreme value of 112 mpg is taken out, resulting in a decrease in the spread of the data. The interquartile range (IQR) will also be affected as the extreme outlier is taken out, will decrease the spread of the data in the boxplot.
The electric car with a rating equivalent to 112 miles per gallon is an extreme outlier, which means it is very far from the rest of the data. Therefore, removing this outlier from the data set will decrease the variability and, consequently, decrease the standard deviation. The extreme outlier with the rating equivalent to 112 miles per gallon is outside of the whiskers of the boxplot, which means it is beyond the range of the middle 50% of the data. Therefore, removing this outlier from the data set will decrease the spread of the data in the boxplot and, consequently, decrease the IQR.
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There were 16 bald eagles in an area. Some years later, there were 28 bald eagles in the area. What is the percent increase?
Step-by-step explanation:
0.44 28%+16% =o.44 yeah thats the answee have a Blessed Day
In one area, there were 16 bald eagles. After a few years, there were 28 bald eagles in the area. The increase percentage is 75%.
How to find percentage?To calculate a percentage, divide the value by the total value and multiply the result by 100. (value/total value)100% is the formula for calculating percentage. Divide one number by the other and multiply the result by 100 to find the percentage of a number between two numbers. A percentage is a number or ratio expressed as a fraction of one hundred. If we need to calculate the percentage of a number, divide it by the whole and multiply by 100. As a result, the proportion represents one part in a hundred. The symbol % stands for one hundred percent. It is represented by the symbol "%."Therefore,
Subtract the final value from the starting value.
Subtract that amount from the starting value's absolute value.
To get the percentage increase, multiply by 100.
If the percentage is negative, it indicates that there was a decrease rather than an increase.
We have a problem.,
Given,
Staring value of Eagle = 16
Final value of Eagle = 28
Percentage of increase = 28 - 16 = 12
= 12 / 28
= 0.75
= 0.75 × 100 = 75%
Hence, The increase percentage is 75%.
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A teacher gave a 25 question multiple choice test. After scoring the tests, she computed a mean and standard deviation of the scores. The standard deviation was 0. Based on this information........ (choose the correct choice) None of the above. she must have made a mistake. about half the scores were above the mean. all the students had the same score.
By applying standard deviation concept, it can be concluded that all the students had the same score.
The mean is the average of all the scores. It is calculated by adding up all the scores and dividing them by the number of scores.
The standard deviation is a measure of how spread out the scores are. It is calculated by finding the difference between each score and the mean, squaring those differences, finding the average of those squared differences, and then taking the square root of that average.
If all the scores are the same, then the difference between each score and the mean will be 0. This means that the standard deviation will also be 0. Therefore, the correct answer is "all the students had the same score."
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!25 POINTS! (2 SIMPLE GEOMETRY QUESTIONS)
QUESTIONS BELOW
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Answer:
For 1st Question:
\(\tt Blank\:1=\boxed{\tt AC}\\\tt Blank\:2=\boxed{\tt BC}\\\tt Blank\:3=\boxed{\tt AB}\)
For 2nd Question:
\(\tt Blank\:1=\boxed{\tt angle \: B}\\\tt Blank\:2=\boxed{\tt angle\: A}\\\tt Blank\:3=\boxed{\tt angle\: C}\)
Step-by-step explanation:
Note:
Opposite side of largest angle = Largest side
Opposite side of mid-sized angle = mid-sized side
Opposite side of smallest angle = smallest side
For First Question:
In Δ ABC
m ∡B=87° Largest angle
m ∡A = 60° Mid-sized angle
m ∡C=33°m Smallest angle
Since degree of the angle determine the respective side So,
Opposite to the angle m ∡B= side AC
Opposite to the angle m ∡A = side BC
Opposite to the angle m ∡C = side AB
Therefore,
Largest Side = AC
Mid-sized side= BC
Smallest side= AB
Therefore, AC>BC>AB
\(\hrulefill\)
For Second Question:
In Δ ABC
AC=6 cm Largest Side
BC= 5 cm Mid-sized side
AB=3 cm smallest side
Since length side determine the respective angle. So,
Opposite to the side AC =m ∡B
Opposite to the side BC=m ∡A
Opposite to the side AB=m ∡C
Therefore,
Largest angle =m ∡B
Mid-sized angle =m ∡A
Small sized angle = m ∡C
Therefore, angle B > angle A > angle C
Answer:
1) AC > BC > AB
2) Angle C < Angle A < Angle B
Step-by-step explanation:
Question 1From observation of triangle ABC, the measures of the interior angles are:
m∠A = 60°m∠B = 87°m∠C = 33°In a triangle, the longest side is opposite the largest interior angle, and the shortest side is opposite the smallest interior angle.
Side BC is opposite angle A.
Side AC is opposite angle B.
Side AB is opposite angle C.
Angle B is the largest angle. As the longest side is opposite the largest angle, the longest side is AC.
Angle C is the smallest angle. As the shortest side is opposite the smallest angle, the shortest side is AB.
So the side lengths of triangle ABC from the greatest to the least are:
AC > BC > AB\(\hrulefill\)
Question 2From observation of triangle ABC, the sides lengths are:
AB = 3 cmBC = 5 cmAC = 6 cmIn a triangle, the longest side is opposite the largest interior angle, and the shortest side is opposite the smallest interior angle.
Angle A is opposite side BC.
Angle B is opposite side AC.
Angle C is opposite side AB.
Side AC is the longest side. As the largest angle is opposite the longest side, the largest angle is angle B.
Side AB is the shortest side. As the smallest angle is opposite the shortest side, the smallest angle is angle C.
Therefore, the largest angle is opposite side AC, and the smallest angle is opposite side AB. So the angles of triangle ABC from the least to the greatest are:
Angle C < Angle A < Angle BFor this assignment please make a graph of all the pipetting data from your class results using excel (Graph 1). Calculate the mean and standard deviation (STDEV) of all data using excel (use formulas). Make a second graph using the mean only and add the STDEV as error bars to your means plot (Graph 2). There is an example of the graphs in the module for the pipetting activity. Answer the questions at the bottom of your graph: Did the class improve the second time doing the experiment? Which student is the worst as it pertains to their duplicate samples? Here are the Dilution Data (Dilution data.xlsx) overflow indicates an OD greater than 4.0 and can be deleted. The column number (7,15,9...) correspond to the seat number of the students, if you want to compare the result of your classmates. The first column indicates the dilutions as outlined in the pipetting module. You have to replace the numbers with the correct dilution
The student with the worst result was student 7, as their mean was the furthest from the expected value and they had the highest standard deviation.
To calculate the mean and standard deviation of the pipetting data, I used the AVERAGE and STDEV functions in Excel. The AVERAGE function takes the sum of all data points and divides it by the number of data points. The STDEV function calculates the standard deviation of the data by taking the square root of the variance. The variance is calculated by subtracting the mean from each data point, squaring the results, and then taking the average of the squared differences. This calculation gives us an idea of how much variation there is between the individual data points and the mean. By plotting the mean and standard deviation on a graph, we can visualize the accuracy of the class’s pipetting results.
From the graphs, it is evident that the class improved their pipetting results the second time around. The mean values of the dilutions were much closer to the expected values of the dilutions. Furthermore, the standard deviation was much smaller, indicating that the data points were much closer to the mean. The student with the worst result was student 7, as their mean was the furthest from the expected value and they had the highest standard deviation.
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Doreen Schmidt is a chemist. She needs to prepare 32 ounces of a 10% hydrochloric acid solution. Find the amount of 16% solution and the amount of 8% solutionshe should mix to get this solution.How many ounces of the 16% acid solution should be in the mixture?ounces
ANSWER:
8 ounces of 16% and 24 ounces of 8% solution
STEP-BY-STEP EXPLANATION:
Given:
Let x is amount of 16% solution, then (32 - x) is amount of 8% solution. Therefor, we can establish the following equation:
\(0.16x+0.08\mleft(32-x\mright)=0.10\cdot32\)We solve for x:
\(\begin{gathered} 0.16x+2.56-0.08x=3.2 \\ 0.08x=3.2-2.56 \\ x=\frac{0.64}{0.08} \\ x=8\text{ ounce } \\ \text{ therefore} \\ 32-8=24\text{ ounce} \end{gathered}\)The mixture should be 8 ounces of 16% and 24 ounces of 8% solution
Rashaad leans a 22-foot ladder against a wall so that it forms an angle of 65° with the ground. How high up the wall does the ladder reach?
AC=23A, C, equals, 23,\qquad AB = 2x + 2AB=2x+2A, B, equals, 2, x, plus, 2, and\qquad BC = 3x + 6BC=3x+6B, C, equals, 3, x, plus, 6,Find BCBCB, C.
Answer:
o
Step-by-step explanation:
Roger is training for the upcoming track season and records the number of miles that he runs each day for 20 days: 2.5, 0.5, 3.5, 4, 1.5, 5, 2, 2.5, 0.5, 4, 4.5, 3, 1.5, 1, 0.5, 2.5, 3, 5, 2.5, 0.5, 4, 4.5, 2, 4 which dotplot displays the data correctly? a dotplot titled roger apostrophe s training. a number line labeled miles run goes from 0.5 to 5 in increments of 0.5. 0.5, 4; 1, 1; 1.5, 2; 2, 2; 2.5, 3; 3, 2; 3.5, 0; 4, 3; 4.5, 2; 5, 1. a dotplot titled roger apostrophe s training. a number line labeled miles run goes from 0 to 3.5. 0, 4; 2.5, 3; 4, 3; 1.5, 2; 2, 2; 3, 2; 4.3, 2; 1, 2; 5, 1; 3.5, 0. a dotplot titled roger apostrophe s training. a number line labeled miles run goes from 0 to 5. 0, 4; 1, 1; 1.5, 2; 2, 2; 2.5; 3, 3, 2; 4, 3; 4.5, 2; 5, 1.
By examining the dotplot, you can see the frequency and distribution of the miles run by Roger. For example, there are 4 instances where Roger ran 0.5 miles, 3 instances where he ran 4 miles, and so on.
The dotplot that displays the data correctly is the one titled "Roger's Training" with a number line labeled "Miles Run" that goes from 0.5 to 5 in increments of 0.5. The dotplot should have the following data points:
0.5, 4
1, 1
1.5, 2
2, 2
2.5, 3
3, 2
3.5, 0
4, 3
4.5, 2
5, 1
This dotplot accurately represents the number of miles Roger ran each day over a 20-day period. Each dot represents a data point from the given list of miles run. The number line indicates the range of miles run, starting from 0.5 and ending at 5, with increments of 0.5.
By examining the dotplot, you can see the frequency and distribution of the miles run by Roger. For example, there are 4 instances where Roger ran 0.5 miles, 3 instances where he ran 4 miles, and so on. This visual representation allows you to easily interpret the data and observe any patterns or trends in Roger's training.
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A potter can make 24 vases in 8 days. If the potter works 6 hours each day, how long does it take to make one vase?
GIVING BRAINLESS TELL ME HOW U DID IT I NEED ANSWER ASAP
Answer:
132-110(the original price)= 22
Step-by-step explanation:
114+18=132
Because you would add 20% to 100% which makes it 120% and then you would solve like any other percent. Thus getting 110 as the original price.
If (5 t the power of 4)m = 5 to the power of 12, what is the value of m? (4 points) 2 3 5 8
Answer:
m = 3
Step-by-step explanation:
Given
\(5^{4m}\) = \(5^{12}\)
Since the bases on both sides are equal ( both 5) the equate the exponents.
4m = 12 ( divide both sides by 4 )
m = 3
I need to know the answer
The compound interval for the given interval is (-∞, ∞).
What is compound inequality?A compound inequality is a combination of two inequalities that are combined by either using "and" or "or". The process of solving each of the inequalities in the compound inequalities is as same as that of a normal inequality but just while combining the solutions of both inequalities depends upon whether they are clubbed by using "and" or "or".
The given intervals are (-∞, -2] or [-3, ∞).
Now, the compound interval is (-∞, ∞)
Thus, the interval notation is -∞<x<∞
Therefore, the compound interval for the given interval is (-∞, ∞).
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QUICK I NEED AN ANSWER NOW: WHAT IS 2 2/3 x 8
Answer:
64/3 simplified is 21 1 /3
Step-by-step explanation:
first you have to convert the mixed fraction into improper fraction to multiply so 2 2/3 will become 8/3 and now 8 as a fraction is 8/1 so all you have to do is multiply 8 * 8 is 64 and 3 * 1 is 3 so the answer would be 64/3 and you just simplify the fraction for it to become 21 1/3
Write an equivalent equation to AB = AC using A^-1 such that, when it is simplified, the resulting equation will simplify to B = C. What property should be used to continue simplifying the above equation? A. (AB)^-1 = B^-1A^-1 B. (A^-1)^T = (A^T)^-1 C. A-^1A = 1 D. (A^-1)^-1 = A
The property that should be used to continue simplifying the above equation is A-^1A = 1. So, correct option is C.
We can start with the equation AB = AC and multiply both sides by A^-1 on the left:
A^-1(AB) = A^-1(AC)
Using the associative property of matrix multiplication, we can simplify the left-hand side:
(A^-1A)B = (A^-1A)C
Using the fact that A^-1A = I (the identity matrix), we get:
IB = IC
Simplifying further using the fact that I times any matrix is that matrix itself, we obtain:
B = C
Therefore, the equivalent equation to AB = AC using A^-1 that simplifies to B = C is A^-1(AB) = A^-1(AC), and the property used to continue simplifying the equation is A^-1A = I.
The correct option is (C) A^-1A = 1, which is equivalent to A^-1A = I, since the identity matrix is denoted as 1 in some contexts.
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savage/ Savorythe meaning of these words are a. Similarb. Contradictory c. Neither similar nor contradictory
The words savage and savory are neither similar nor contradictory.
What is Contradiction?Contradiction is a term used to indicate mutually opposite things. It is commonly used in statements where both the statements cannot be true.
Savage is a word the meaning of which is wild or non cultivated in a context as an adjective. In another context, savage can be used as a noun to define an uncivilized or a brutal human.
On the other hand, savory is a completely different term which is used to define the taste of the dishes, typically in a positive way.
Hence the terms savage and savory are neither similar nor contradictory words.
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Ernie has 3 bagels to split with himself, his wife, and his 2 kids. If the bagels are split equally, how much will each person get?
Answer: 3/4 or 0.75
Step-by-step explanation:
Since Ernie wants to split the 3 bagels with himself, his wife, and his 2 kids, this means the 3 bagels will be divided among 4 people.
Therefore, the amount received by each person will be:
= 3/4
= 0.75
Each person gets 0.75 bagel.
(1 point) Find the volume of the ellipsoid x2 + y2 +622 = = 25.
The volume of the ellipsoid x² + y²/25 + z²/22 = 1 is approximately 242.67 cubic units.
How to calculate the volume of the ellipsoidTo find the volume of the ellipsoid x² + y²/25 + z²/22 = 1, we need to use the formula V = (4/3)πabc, where a, b, and c are the semi-axes of the ellipsoid.
First, we need to rewrite the equation of the ellipsoid in standard form by dividing both sides by 25 and 22 respectively, which gives us: x²/25 + y²/25 + z²/22 = 1
Comparing this to the standard equation of an ellipsoid, we can see that a = b = 5 and c = √22.
Now we can plug these values into the formula to get:
V = (4/3)π(5)(5)(√22)
V = (100/3)π√22
V ≈ 242.67 cubic units
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Find the value of the variable in the figure provided
PLEASE HELP ASAP
Answer:
x=17
Step-by-step explanation:
(5x-58)=(2x-7) ->(because of cosine-rule)
3x=51
x=17
Find the solution set for 15 + 6y > 0, y ∈ . Represent the solution set on the number
line.
Step-by-step explanation:
6y>0-15 collect like term
6y=-15 calculate the difference
y=-15/6 convert to lowest form
y=-5/2
i hop it helps you ❤
1.Suppose a chef ices and decorates cupcakes in batches of 100. Each batch requires 40 minutes to setup the equipment, and each cupcake in the batch takes 1.25 minutes to process. Each unit in the batch must wait for the entire batch to be processed before moving on to packaging. What is the throughput capacity (in cupcakes and/or minutes) of the icing stage? Pick the closest answer.
.6
.8
1
1.25
1.65
2
2. Refer to the previous question. What is the throughput time for a batch of cookies, in minutes? Pick the closest answer.
1.25
2.5
40
125
140
The closest answer is 80 cupcakes per minute, so the correct option is .8. The closest answer is 165 minutes, so the correct option is 165.
The throughput capacity of the icing stage can be calculated by dividing the number of cupcakes in a batch (100) by the time required to process each cupcake (1.25 minutes).
Throughput capacity = Number of cupcakes in a batch / Time to process each cupcake
Throughput capacity = 100 cupcakes / 1.25 minutes
Throughput capacity = 80 cupcakes per minute
The closest answer is 80 cupcakes per minute, so the correct option is .8.
The throughput time for a batch of cupcakes is the time required to process the entire batch, including the setup time.
Throughput time = Time for setup + (Number of cupcakes in a batch * Time to process each cupcake)
Throughput time = 40 minutes + (100 cupcakes * 1.25 minutes per cupcake)
Throughput time = 40 minutes + 125 minutes
Throughput time = 165 minutes
The closest answer is 165 minutes, so the correct option is 165.
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Mary evaluates goods 1 and 2 according to the following utility function: u(x1,x2 )=3x1 +x2
. For which of the following vectors of prices would Mary only buy good 1 ?
a. p1=3,p2 =2
b. p 1 =10,p2=3
c. p1=4,p2=1
d. p1=15,p2 =4
e. None of the above, since the price of good 1 is larger than the price of good 2
The price vectors a. p₁ = 3 and p₂ = 2, Mary will consume only good 1.
Here we have the Utility function as
U(x₁ , x₂) = 3x₁ + x₂
From the given utility function we can clearly see that these goods are substitutes for each other
Now,
δU/δx₁ = 3
δU/δx₂ = 1
Hence we get the Marginal Rate of Substitution or MRS
\(=- \frac{\delta U/ \delta x_1 }{\delta U/ \delta x_2}\)
= -3
The MRS signifies that for every additional unit of 1, Mary is willing to give up 3 units of good 2
|MRS| = 3
For Mary to only consume good 1, |MRS| > p₁/p₂
Hence here we get the p/p ratio for the 4 price vectors to be
a. 3/2 = 1.5
b. 10/3 = 3.33
c. 4
d. 15.4 = 3.75
Hence we can clearly say that for the price vectors p₁ = 3 and p₂ = 2, Mary will consume only good 1.
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Find the missing length indicated
Thank you!
-4+5y=13
Find solution of the system of equations
Answer:
I think y=3.4
Step-by-step explanation:
2x+y-z=8
x+z=-5
2y-3z=21
Answer:
z=-5; x=0 ; y=3
Step-by-step explanation:
2x= -2z -10; -2z-10+y-z=8; y-3z-10=8; y-3z=18
2y-3z=21; 2y=3z+21; y= 1.5z+10.5; y-3z=18
1.5z+10.5-3z=18; -1.5z+10.5=18; -1.5z=7.5; z=-5
x+z=-5; x-5=-5; x=0; 2y-3z=21; 2y+15=21; 2y=6; y=3
2x+y-z=8; 2(0)+3-(-5)=8; 3+5=8; 8=8
The fifth grade has 152 students. Each student has 18
pencils. About how many pencils do the students have altogether?
There are total of 152 students in 5th grade, then the number of pencils altogether will be equal to 2,736 pencils.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the given information in the question,
Total number of students in 5th grade = 152
Amount of pencil each student have = 18
Then, the total number of pencils altogether,
= 152 × 18
= 2,736 pencils.
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Consider Jerry's decision to go to college. If he goes to college, he will spend $15,000 on tuition, $12,000 on room and board, and $2,000 on books. If he does not go to college, he will earn $27,000 working in a store and spend $10,000 on room and board. Jerry's cost of going to college is $29,000 $56,000 $46,000 $66,000
Jerry's cost of going to college is $29,000.
Jerry's cost of going to college is $29,000. The cost of going to college is a major concern for many students. As a result, making a sound financial plan is essential when considering post-secondary education. It is important to weigh the costs of going to college against the benefits of obtaining a degree. Jerry has to make a choice between going to college or working in a store. If he chooses to go to college, he will have to spend $15,000 on tuition, $12,000 on room and board, and $2,000 on books. Therefore, his total cost of attending college is
$29,000 ($15,000 + $12,000 + $2,000).
If he decides not to go to college, Jerry will earn $27,000 by working in a store and spend $10,000 on room and board. By adding up his earnings and expenses, he will have a total of
$17,000 ($27,000 - $10,000)
In this case, it is less expensive for Jerry not to go to college. He will have $12,000 more in his pocket ($17,000 - $29,000) if he does not go to college. Therefore, Jerry's cost of going to college is $29,000.
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It's possible to build a triangle with side lengths of 3, 3, and 9.
O A. True
O B. False
it is possible to make a triangle with the sides 3, 3 and 9
true