Answer:
Length of side e is 4.12
Length of side f is 4.24
The length of side f is larger than length of side e
Step-by-step explanation:
We are given two line segments e and f. We need to find lengths of both e and f and determine which is larger.
We can use distance formula to calculate lengths of line segments.
The Distance Formula is: \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
Finding length of side e:
We are given points (-2,3) and (-1,-1)
here we have \(x_1=-2, y_1=3, x_2=-1 , y_2=-1\)
Putting values in distance formula and finding length
\(Length \ of \ side \ e= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Length \ of \ side \ e= \sqrt{((-1)-(-2))^2+(-1-(3))^2}\\Length \ of \ side \ e= \sqrt{(-1+2)^2+(-1-3)^2}\\Length \ of \ side \ e= \sqrt{(1)^2+(-4)^2}\\Length \ of \ side \ e= \sqrt{1+16}\\Length \ of \ side \ e= \sqrt{17}\\Length \ of \ side \ e= 4.12\)
So, Length of side e is 4.12
Finding length of side f:
We are given points (2,2) and (-1,-1)
here we have \(x_1=2, y_1=2, x_2=-1 , y_2=-1\)
Putting values in distance formula and finding length
\(Length \ of \ side \ f= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Length \ of \ side \ f= \sqrt{((-1)-(2))^2+(-1-(2))^2}\\Length \ of \ side \ f= \sqrt{(-1-2)^2+(-1-2)^2}\\Length \ of \ side \ f= \sqrt{(-3)^2+(-3)^2}\\Length \ of \ side \ f= \sqrt{9+9}\\Length \ of \ side \ f= \sqrt{18}\\Length \ of \ side \ f= 4.24\)
So, Length of side f is 4.24
The length of side f is larger than length of side e
James correctly estimated this difference by rounding each number to the nearest whole.
38.85−2.32
What did James get for his estimate?
Answer:
37
Step-by-step explanation:
This is because u solve the equation first.
After solving the equation the first decimal on the right.If the number is 5 and more than five u go to the position of the one and add plus one to the ones place and change the decimals to 0, if the number is less than five change the decimals to zero and leave the numbers after the decimal point
Neptune is 2,798,842,000 miles from the sun. How many hours does it take lightto travel from the sun to Neptune?
9514 1404 393
Answer:
4.17 hours
Step-by-step explanation:
The speed of light is about 670,616,629.4 miles per hour, so the travel time to Neptune is ...
(2,798,842,000 mi)/(670,616,629.4 mi/h) ≈ 4.17 h
It takes about 4.17 hours for light to travel from the sun to Neptune.
b. Nishad is up next. He thinks he can match Rahshida's vocal performance but will likely score a 6 for his movement. Can Nishad still win the competition? If so, what is the minimum score he needs to get for stage presence? [2 marks]
Nishad can still win the competition. The minimum score he needs to get for stage presence is: 9.
How to determine the minimum score needed for stage presenceThe formula used by the judges to determine the scores is: S = 7V + 5M + 3P
Now, Rashida is scored the following: V = 9, M = 7, P = 7
Using the formula, Rashida's score is: 7 * 9 + 7 * 5 + 7 * 3
= 63 + 35 + 21
= 119
Nishad hopes to get V = 9, M = 6, P = ?
7 * 9 + 6 * 5 + 3x
= 63 + 30 + 3x
= 93 + 3x
If x = 9
Then Nishad will have a score of 120, thus winning the competition. The minimum number required of him for stage presence is 9.
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an important first step in assessing the relationship of two interval level variables is to: a. calculate a correlation coefficient. b. look at a scatter plot. c. do a test of significance. d. calculate the variance of the independent variable.
Option a. calculate a correlation coefficient is the right response because a correlation coefficient measures the strength and direction of the relationship between two interval level variables.
This is because a correlation coefficient measures the strength and direction of the relationship between two interval level variables. It provides a numerical value that ranges from -1 to 1, where -1 indicates a strong negative correlation, 0 indicates no correlation, and 1 indicates a strong positive correlation.
A scatter plot is also useful in visualizing the relationship between two variables, but it does not provide a numerical value like the correlation coefficient. A test of significance and variance calculation are not typically used as first steps in assessing the relationship between two variables.
Hence, option a. calculate a correlation coefficient is the correct answer.
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Help please no links. Thanks
Answer: 11.39
Step-by-step explanation:
For the perimeter of a triangle, just add all the sides:
3.99 + 5 = 8.99,
8.99 + 2.4 = 11.39.
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Answer:
11.39
Step-by-step explanation:
Just add the sides
What is the linear regression equation for the points: (-2,2), (0,1), (3,1)? *
y=0.18x+1.4
Oy=0.18x-1.4
Oy=-0.18x+1.4
y=-0.18x-1.4
Answer:
y=−0.18x+1.4
Step-by-step explanation:
I did it on one of my own test and got it correct!!!!
Helpppp pleaseee :]]
the temperature at 7 am is what the -5 represents
If C.P. of 100 pencils is Rs.250 and S.P. of 1 dozen pencils is Rs.33, find the gain or loss per cent.
CP of 100 pencils = Rs.250
CP of 1 pencil = 250/100 = 2.5
SP of 1 dozen pencils = Rs.33
SP of 12 pencils = Rs.33
SP of 1 pencil = \frac{33}{12}=2.75
SP>CP
So, Profit% = SP - CP/ CP × 100 = 2.75 - 2.5/2.5 × 100 = 10 %
Hence The profit % is 10%
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Two friends shop for fresh fruit. Elena buys a watermelon for $8.55 and 5 pounds of cherries. Taniy buys a pineapple for $4.45 and 4 pounds of cherries. Use the variable p to represent the price, in dollars, per pound of cherries. Write and simplify an expression to represent how much more Elena spent.
The expression to represent how much more Elena spent is 4.1 + p.
How to find the expression to represent a situation?Two friends shop for fresh fruit. Elena buys a watermelon for $8.55 and 5 pounds of cherries. Taniya buys a pineapple for $4.45 and 4 pounds of cherries.
Therefore, the expression to represent how much more Elena spent can be represented as follows:
hence,
p = price in dollars, per pound of cherries.
Hence,
amount Elena spent more = 8.55 + 5p - (4.45 + 4p)
amount Elena spent more = 8.55 + 5p - 4.45 - 4p
amount Elena spent more = 8.55 - 4.45 + 5p - 4p
Therefore,
amount Elena spent more = 4.1 + p
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How would you divide a mixed number and a whole number ?
Answer:
During the fifth or sixth grade, students are usually asked to divide a mixed number and a whole number. The process is very similar to dividing fractions, but the main difference is that you have to multiply the fraction first before dividing it. This is a simple process. Then, you have to invert the second fraction.
In a survey of some students of a school one fourth students like mathematics only, 10 students didn't like mathematics. 50% students like science and 4 didn't like both subjects. find the number of students who like both subjects.
The number of students who like both subjects is 2 students. The result is obtained by using the concept of Venn diagram.
What is a Venn diagram?A Venn diagram is a diagram used to represent the sets.
From a survey,
¼ students like Mathematics only.10 students didn't like Mathematics.50% students like Science.4 students didn't like both subjects.Find the number of students that like both subjects!
We make a Venn diagram to represent the sets, as shown in the attachment.
The universal set is the sum of all students. It is
S = ¼S + ½S + 4
S = ¾S + 4
S - ¾S = 4
¼S = 4
S = 4×4
S = 16 students
Students that like Science are 50%. They are
= 50% × S
= 0.5 × 16
= 8 students
As shown in the picture of Venn diagram, students who don't like Mathematics is 10 students. So, students who only like Science are
b + 4 = 10
b = 10 - 4
b = 6 students
Students who like both subjects are
a = ½S - b
a = 8 - 6
a = 2 students
Hence, students who like Mathematics and Science are 2 students.
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please answer 51 points
Decisions for Tomorrow Suppose the hourly wage rate is $24 in the United States and $3 in China,and productivity is 20 units per hour in the United States and 4 units per hour in China. Please round your responses to two decimal places. a.What are per unit labor costs in the United States? per unit of labor b.What are per unit labor costs in China? per unit of labor c. If a conipany's goal is to minimize per unit labor costs,where would the production facility be located? China or the United States?
a) Per unit labor cost in the United States is $1.20.
b) Per unit labor cost in China is $0.75.
c) The company should locate its production facility in China to minimize per unit labor costs as it is lower than in the United States.
a) The per unit labor cost in the United States can be calculated as follows:
Per unit labor cost = Hourly wage rate / Productivity per hour
= $24 / 20 units per hour
= $1.20 per unit of labor
b) The per unit labor cost in China can be calculated as follows:
Per unit labor cost = Hourly wage rate / Productivity per hour
= $3 / 4 units per hour
= $0.75 per unit of labor
c) If a company's goal is to minimize per unit labor costs, the production facility should be located in China because the per unit labor cost is lower than in the United States. Therefore, China's production costs would be cheaper than those in the United States.
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jessica works at a bakery, and every day she makes 30 pie crusts that each use up $\frac16$ cup of flour. one day, she decides that she instead wants to make 20 larger pie crusts using the same total amount of flour. how many cups of flour will go into each of the new crusts? express your answer in simplest fractional form.
\(\frac{1}{4}\) fraction cups of flour will go into each of the new crusts .
let x be the total amount of flour used to makes 30 pie crusts each day
and it is given that each crusts requires \(\frac{1}{6}\) cup of flour .
so total flour required = \(\frac{1}{6} * 30\) = 5 cups
so we need 5 cups of flour to bake 30 pie crusts
so, x=5 cups
now using this total amount of flour we have to find how cups of flour each pie crusts requires
let each pie crusts requires \(\frac{1}{y}\) cups of flour .
total flour used in this case = \(\frac{1}{y} * 20\)
and \(\frac{1}{y} *20\) must be equal to 5
so \(\frac{1}{y} *20 = 5\) => y = 20 /5 =4
so y = 4
so we need \(\frac{1}{4}\) fraction cups of flour in 2nd case .
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Round your answer to the nearest tenth.
You are planting a circular garden in your backyard. The diameter of the garden is 12
ft. If you only wanted to plant roses around % of the perimeter, how many feet of
roses should you plant?
Answer:
Step-by-step explanation:
Just do lxw and you’ll get your answer
What parts of a circumcenter are congruent?
The circumcenter is the point of intersection of three perpendicular bisectors of the sides of a triangle. All three of the perpendicular bisectors are congruent, and the circumcenter itself is congruent to itself.
The circumcenter of a triangle is the point of intersection of all three perpendicular bisectors of the sides of the triangle. It is the center of the circumcircle which is the circle that passes through all three vertices of the triangle. The perpendicular bisectors of the sides of the triangle are all congruent, meaning that they are all the same length and have the same angle of inclination. Additionally, the circumcenter itself is congruent to itself, meaning that it has the same location and coordinates. This is because it is the point of intersection of all three perpendicular bisectors, which all have the same coordinates. The circumcenter is an important concept in geometry and trigonometry as it is the center of the circumcircle and provides insight into the properties of the triangle.
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The parts of circumcenter that are congruent are all the three perpendicular bisectors and the circumcenter itself .
What is Circumcenter ?
The Circumcenter of a triangle is defined as the point of intersection of all the three perpendicular bisectors of the side . It is the center of circumcircle which is the circle that passes through the vertices of the triangle.
the parts of circumcenter that are congruent are :
(i) The Perpendicular bisectors of sides of triangle are all congruent, which means they are of the same length and have the same angle of inclination .
(ii) The Circumcenter of the circle is congruent to itself, because it has the same location and coordinates because it is point of intersection of all three perpendicular bisectors, all of which have the same coordinates .
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(-2x) x 8x
Urgent!!
Step-by-step explanation:
multiply both the variable
Solve: 5(h − 3) = 25
Answer:
h=8
Step-by-step explanation:
open the brackets
then, 5h - 15= 25
h=(25+15)/5
h=8
Answer:
h = 8
Step-by-step explanation:
Hi there !
5(h - 3) = 25
5h - 15 = 25
5h = 25 + 15
5h = 40
h = 40 : 5
h = 8
Good luck !
the cost in the dollar of operating machine per day is given the formula by C = 3T2 -96t + 1,014 , where is T is the time of the machine operating in hours
What is the maintenance cost of running the machine?
Answer:
T is the cost
Step-by-step explanation:
by looking at the question you can see the answer.
Can someone help me with this Question.
The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.
\(P=3W+D\)A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.
B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.
\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.
That leaves \(27-14=13\) matches. These represent the matches team lost.
Finally, the answers are below.
\(A)29\)
\(B)13\)
Answer:
a) 29 points
b) 13 losses
Step-by-step explanation:
You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.
A 8 wins, 5 drawsThe number of points the team has is ...
P = 3W +D
P = 3(8) +(5) = 29
The team has 29 points.
B 54 pointsYou want the number of losses the team has if it has 54 points and 12 draws after 39 games.
The number of wins is given by ...
P = 3W +D
54 = 3W +12
42 = 3W
14 = W
Then the number of losses is ...
W +D +L = 39
14 +12 +L = 39 . . . substitute the known values
L = 13 . . . . . . . . . . subtract 26 from both sides
The team lost 13 games.
__
Additional comment
In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)
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Which term describes the slope of the line below?
Answer:
B. Zero
Step-by-step explanation:
The slope of the line is in the the first two quadrants and is horizontal, meaning it has zero slope.
Answer:
Zero slope :)
Step-by-step explanation:
A zero slope is a horizontal line. When there is a zero slope, y will be equal to a constant. :)
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Zen Inc. manufactures two types of products, the G1 and the T1 model airplane. The manufacturing process consists of two principal departments: production and assembly. The production department has 58 skilled workers, each of whom works 7 hours per day. The assembly department has 25 workers, who also work 7-hour shifts. On an average, to produce a G1 model, Zen Inc. requires 3.5 labor hours for production and 2 labor hours for assembly. The T1 model requires 4 labor hours for production and 1.5 labor hours in assembly. The company anticipates selling at least 1.5 times as many T1 models as G1 models (this is the product mix). The company operates five days per week and makes a net profit of $130 on the G1 model, and $150 on the T1 model. Zen Inc. wants to determine how many of each model should be produced on a weekly basis to maximize net profit. If the numbers of G1 and T1 products produced each week are denoted as G and T respectively, the function that describes Zen, Inc.’s sales product mix for a week is?
Each model should be produced on a weekly basis to maximize net profit is $75,900.
What is Net profit?
In both business and accounting, net income or profit is an entity's revenue less cost of goods sold, costs, depreciation and amortisation, interest, and taxes for a certain accounting period.
As given,
Number of products sold:
T ≥ 1.5G
Maximize Profit Z = 150T + 130G
Labor Constraint:
Labor hours Available:
Production Department:
Number of labor hours available per day = 58 × 7 = 406
Number of days in a week = 5
Number of lobor ours available per week = 406 × 5 = 2030
Assembly Department:
Number of labor hours available per day = 25 × 7 = 175
Number of days in a week = 5
Number of labor hours available per week = 175 × 5 = 875.
Labor hours Required:
Labor hours required for G1 model:
Labor hours required at Production department = 3.5G
Labor hours required at assembly department = 2G
Labor hours required for T1 model:
Labor hours required at Production department = 4T
Labor hours required at Assembly department = 1.5T
Total labor hours required at Production department = 3.5G + 4T
Total labor hours required at Assembly department = 2G + 1.5T.
Constraint:
Labor hours required ≤ Labor hours Available.
Production department Labor constraint
3.5G + 4T ≤ 2030
Assembly department Labor constraint:
2G + 1.5T ≤ 875
The function:
Maximum Profit Z = 150T +130G
Constraint:
3.5G +4T ≤ 2030
2G + 1.5T ≤ 875
T ≥ 1.5G
Suppose that for example:
10.5G +12T = 6090
16G + 12T = 7000
Solve both equations simultaneously,
5.5G = 7000 - 6090
5.5G = 910
G = 910/5.5
G = 363
Since, T > G
Hence,
T = 363,
G = 165
Calculate Profit:
150T + 130G = 150 × 363 + 130 × 165
= 54450 + 21450
= 75900
Hence, each model should be produced on a weekly basis to maximize net profit is $75,900.
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use the definitions below to select the statement that is true. a={x∈:xis even} b={x∈:−4 < x < 17}
The true statement is: (1) a ⊂ b .Given sets are:a={x∈: x is even}b={x∈:−4 < x < 17}Now, we have to select the true statement from the given options. Let's look at the given options:(1) a ⊂ b(2) b ⊂ a(3) a ∩ b ≠ ∅(4) a ∪ b = R.
To check the given statement, we have to check if all the elements of set a are in set b.Let's check if set a is the subset of set b or not:a = {x∈ : x is even}b = {x∈ : −4 < x < 17}
So, if we write all the even numbers between -4 and 17, then all the elements of set a will be there in set b.
Therefore, a ⊂ b. Hence, option (1) is true. The true statement is: a ⊂ b as all the elements of set a are in set b.
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Can I get help on this math problem makes makes no sense
Line segment RS has endpoints R(–2, 4) and S(–4, –1).
Line segment R''S'' has endpoints R''(3, –3) and S''(5, 2).
Name the rigid transformations that map line segment RS to line segment R''S''.
A- reflection over the line y = x, followed by a translation (x, y) → (x + 1, y + 1)
B- rotation of 180° about the origin, followed by a translation (x, y) → (x + 1, y + 1)
C- rotation of 90° counterclockwise about the origin, followed by a translation (x, y) → (x + 2, y + 1)
D- translation (x, y) → (x + 1, y + 1), followed by a rotation of 180° counterclockwise about the origin
The rigid transformations that map line segment RS to line segment R''S'' is rotation of 180° about the origin, followed by the translation (x,y)→(x+1,y+1).
A 180-degree rotation about the origin will alter both X's and Y's signs to the opposite, thus if one of them is negative, the other will be positive, and vice versa.
Point R being (-2,4), the first transformation would include changing the signs to make it (2,-4) and the second transformation would involve adding 1 to both of them:
(x,y) →(x+1,y+1)
(2,-4)→(2+1,-4+1)
(2,4)→(3,-3)
Similarly we will do with point S(-4,-1) which results in S''(5,2).
Hence, the answer.
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plz help just need the answer thanks
Please help me if you are good at math!
2-(5/6 + 1/6) - 2/6=
A 1 1/3
B 1 2/3
C 2/3
D 1
E None
The solution to the expression is (e) None
Hwo to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
2 - (5/6 + 1/6) - 2/6
Evaluate the like terms
So, we have
2 - (5/6 + 1/6) - 2/6 = 2 - 2 - 2/6
This gives
2 - (5/6 + 1/6) - 2/6 = -2/6
So, we have
2 - (5/6 + 1/6) - 2/6 = -1/3
Hence, the solution is -1/3
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Which ratios are equivalent to 35
?
One example is 70:2. In the case of any non-zero number, this is a ratios of the form 35*k/k.
How would you define ratios?An set of points of numbers “ a ” and “ b", represented as a / b, is a ratio if b is not equal to 0. The proportion is an expression that sets two ratios at the same value. If there are two boys and five girls, for instance, you may express the ratio as 2:5.
Why is it known as a ratio?We got the word "ratio" directly from the Latin word, which is also called "suitable ratio." The mathematics and English ratios were derived from the Latin ratio, which had multiple meanings, ranging from "cause" to "calculated" to "proportion."
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find the equation of the line that is perpendicular to this line and passes through the point (5,-3)
Answer:
y=-2x+5
Step-by-step explanation: