The rate of work fo the company is 3.78 metric tons per hour.
How to find the rate of work per hour?We know that the company can remove (8 + 1/2) metric tons in a time of (2 + 1/4) hours.
To find the rate of work, we need to take the quotient between the number of metric tons and the time in hours, to do so we can write our numbers as single numbers instead of mixed ones:
(8 + 1/2) metric tons = 8.5 metric tons.
(2 + 1/4) hours. = 2.25 hours
Then the rate of work is:
R = 8.5/2.25 = 3.78 metric tons per hour.
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I need to solve the equation and then graph the result
Answer:
\(p<-18\)
graph:
find -18, and draw an arrow going right
100 POINTS!!! PLEASE HELP ME ASAP! WILL MARK BRAINEST FOR THE CORRECT ANSWER
Please show me your work or how you solved it, since I am confused how people are getting f(0) = g(0), since that's not one my options
On a coordinate plane, a red curved line with an upward arc, labeled g of x, crosses the x-axis at (negative 2, 0), and the y-axis at (0, 4). A blue curved line with an upward arc, labeled f of x, crosses the y-axis at (0, 4) and the x-axis at (2, 0). Which statement is true regarding the graphed functions?
A. f(0) = 2 and g(–2) = 0
B.f(0) = 4 and g(–2) = 4
C. f(2) = 0 and g(–2) = 0
D. f(–2) = 0 and g(–2) = 0
Answer:
Your answer is A.
Hope this helps!
Step-by-step explanation:
Because g(x) is (-2, 0 ) and (0, 4 ). So the slope is 4/2 or 2. Then you can figure out the equation for g(x) which is g(x) = 2x + 4.
f(x) is (0, 4 ) and (2, 0 ) so the slope is 0 - 4 / 2 - 0 which is -4/2 or -2. Then figure out the equation for f(x) which is f(x) = -2x + 2.
Now with the two equations, you can just go through the answers so
f(0) = 2 -> f(0) = -2(0) + 2 which equals 2.
g(-2) = 0 -> g(-2) = 2(-2) + 4 which equals 0. So this answer is right.
Answer:
B
Step-by-step explanation:
Please help!
The area of a square can be found using the equation A = s², where A is the area and s is the measure of one side of the square.
Match the equation for how to solve for the side length of a square to its description.
Answer:
s = \(\sqrt{81\\\) in.
Step-by-step explanation:
The last two answer don't fit into the given equation, leaving the first two. For the first one, you do not use the square root of a number that is being squared. That's like saying you're going to fix a car, but the car is just fine and doesn't need fixed.
If you're at all curious about what the square root of 81 is, it's 9.
I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!
Answer:
\( s = \sqrt{81} \: in\)
Step-by-step explanation:
\(\because A = s^2 \\ \therefore \: s = \sqrt{A} \\ \therefore \: s = \sqrt{81} \: in\)
gc= x+y/x solve for x
the curve x = t2 − 3t, y = t intersects the y-axis when x = 0, which occurs when t = 0 and
The curve x = t^2 − 3t, y = t intersects the y-axis when x = 0, which occurs when t = 0 and t=3. is 8root2/5
What does intersect mean in math?When two or more lines cross each other in a plane, they are called intersecting lines. The intersecting lines share a common point, which exists on all the intersecting lines, and is called the point of intersection. Here, lines P and Q intersect at point O, which is the point of intersection.
What is the intersection of a curve?In general, an intersection curve consists of the common points of two transversally intersecting surfaces, meaning that at any common point the surface normals are not parallel. This restriction excludes cases where the surfaces are touching or have surface parts in common.
A=∫ ( t)(2t−2)dt
=∫ 2t ^(3/2) −2t ^(1/2)dt
=8root(2)/15
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pure salt is to be added to a 10% salt mix to get 9 ounces of a 20% salt mix. how much of each salt should be used
Step-by-step explanation: You should be using 8 Oz of pure salt.
In the mixture there is 1 ounce of pure salt and 8 ounces of salt mix.
Given that, pure salt is to be added to a 10% salt mix to get 9 ounces of a 20% salt mix.
What are mixed problems?Mixture problems are word problems where items or quantities of different values are mixed together. Sometimes different liquids are mixed together changing the concentration of the mixture.
Lets the pure salt=x ounces
Then, the salt mix=9-x ounces
Now, an equation is
x+10% of (9-x)=20% of 9
⇒ x+0.1(9-x)=0.2×9
⇒ x+0.9-0.1x=1.8
⇒ 0.9x=0.9
⇒ x=1 ounces
Then, salt mix=9-1=8 ounces
Therefore, in the mixture there is 1 ounce of pure salt and 8 ounces of salt mix.
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CAN SOMEONE PLEASE HELP ME???
Answer:
F
Step-by-step explanation:
You need to know the number of people to calculate the amount of dishes
WILL MARK YOU BRAINLIEST
Answer:
64
Step-by-step explanation:
✨HeHeHe~ moooore mathhhh✨
Answer:
The answer of this should be c
Answer:
C: M=10
Step-by-step explanation:
4M+40=7M+10
-7M -7M
-3M +40=10
-40 -40
-3M=-30
/-3 /-3
M=10
HOPE I HELPED:)
What is 0.904 subtract 0.01?
Answer:
0.894 is your correct answer.
Answer:
0.894 because the 0.01 will affect the hundredths so the 0 will be affected in 0.904 and the 9 will change to an 8 because there's nothing left in 0 so you have to substitute.
A boy 1.5 m tall is 15 m away from a hut 24 m high. What is the angle of elevation of the top of the hut?
Answer:
Angle of elevation = 56.31°
Step-by-step explanation:
A student created this table to represent a linear relationship between x and y. X. Y-2. 10.0-1. 7.50. 5.01. 2.52. 0Write an equation of the line represented by the relationship between x and y shown in the table.
The equation of a line can be written using the slope-intercept form given as
\(y=mx+c\)For that equation, we need to find m (rate of change) and c (y-intercept).
To find m, we can use the formula
\(m=\frac{y_2-y_1}{x_2-x_1}\)Let us pick any two points on the graph such that
\(\begin{gathered} (x_1,y_1)\Rightarrow(-2,10.0) \\ \text{and} \\ (x_2,y_2)\Rightarrow(1,2.5) \end{gathered}\)Substituting these into the equation, we have
\(\begin{gathered} m=\frac{2.5-10.0}{1-(-2)} \\ m=-\frac{5}{2} \end{gathered}\)The intercept, c, can be calculated by substituting the rate of change, m, and any point coordinates to the equation of a line.
Let us pick the point
\((x,y)=(0,5.0)\)Substituting, we have
\(\begin{gathered} 5=(-\frac{5}{2}\times0)+c \\ \therefore \\ c=5 \end{gathered}\)Therefore, we have the equation of the line to be
\(y=-\frac{5}{2}x+5\)Multiplying all terms by 2 to clear out the fraction, we get the equation to be
\(2y=-5x+10\)Help please thank you!
The sets that represent the union and intersection of set F and set H will be (-∞, 4) ∪ [7, ∞) and the null set, respectively.
What are Sets?Sets are groups of clearly specified components. The number of items in a finite set is denoted by a curly bracket.
The two sets are given below.
F = {v | v < 4}
H = {v | v ≥ 7}
The sets that represent the union of set F and set H will be given as,
F∪H = (-∞, 4) ∪ [7, ∞)
The sets that represent the intersection of set F and set H will be given as,
F∩H = {null}
The sets that represent the union and intersection of set F and set H will be (-∞, 4) ∪ [7, ∞) and the null set, respectively.
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the college of business was interested in comparing the attendance for three different class times for a business statistics class. the data follow. day 8:00 a.m. class 9:30 a.m. class 11:00 a.m. class monday 25 30 25 tuesday 30 32 30 wednesday 32 35 40 thursday 32 40 39 friday 35 33 30 what is the critical value of the statistic for testing the hypothesis of equal treatment means at the 0.05 significance level? multiple choice 3.84 4.46 1.96 6.94
The critical value of the statistic for testing the hypothesis of equal treatment means at the 0.05 significance level is approximately option (a) 3.84
To find the critical value of the statistic for testing the hypothesis of equal treatment means at the 0.05 significance level, we can use an analysis of variance (ANOVA test) test
First, we need to calculate the total sum of squares (SST), which represents the total variability in the attendance data:
SST = ∑∑(Xij - X..)2
= (25-31.83)2 + (30-31.83)2 + ... + (30-31.83)2
= 351.83
where Xij is the attendance for the ith day and jth class time, X.. is the grand mean attendance, and the summation is over all observations.
Next, we need to calculate the between-groups sum of squares (SSG), which represents the variability in the attendance data that is due to differences between the class times
SSG = (∑nj(X.j - X..)2) / k
= [(25-32.17)2 + (30-32.17)2 + ... + (30-32.17)2 + (25-32.17)2 + (30-32.17)2 + ... + (30-32.17)2 + (25-32.17)2 + (30-32.17)2 + ... + (40-32.17)2] / 3
= 189.5
where nj is the number of observations for the jth class time, k is the number of groups (i.e., class times), and X.j is the mean attendance for the jth class time
Finally, we can calculate the within-groups sum of squares (SSW), which represents the variability in the attendance data that is due to differences within each class time:
SSW = SST - SSG
= 351.83 - 189.5
= 162.33
The degrees of freedom for the ANOVA test are:
dfG = k - 1 = 3 - 1 = 2 (degrees of freedom for the between-groups sum of squares)
dfW = N - k = 15 - 3 = 12 (degrees of freedom for the within-groups sum of squares)
dfT = N - 1 = 15 - 1 = 14 (total degrees of freedom)
where N is the total number of observations.
The F-statistic for the ANOVA test is
F = (SSG / dfG) / (SSW / dfW)
= (189.5 / 2) / (162.33 / 12)
= 5.87
To find the critical value of the F-statistic for testing the hypothesis of equal treatment means at the 0.05 significance level, we can look it up in an F-distribution table with dfG = 2 and dfW = 12. At the 0.05 level of significance, the critical value of the F-statistic is approximately 3.84.
Therefore, the correct option is (a) 3.84
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Tell whether the triangles are similar or not.
I also need an explanation for this answer please and thank you.
This test is 40% of my grade I really need answers ASAP <3
Answer: Are
Explaning
I think they are similiar because there is parralel lines they are perpendicular and opposite angles are equal making 25 = its oppisite side
2(x + 4) - 6 = 5x - 17
Answer:
x=6.3 :)
Step-by-step explanation:
2(x+4)-6=5x-17
2x+8-6=5x-17
2=3x-17
19=3x
19/3=6.3
Answer:
2(x+4) -6 = 5x-17
2x + 8 - 6 = 5x - 17
8 -6 + 17 = 5x - 2x
2 + 17 = 3x
19 = 3x
divide both side by the coefficient of x which is 3
19/3 = 3x/3
x = 19/3
x = 6 1/3. or 6.33
Andre owns a condominium with a value of $155,000. He has a stock portfolio worth $8,100. He owes $3,300 on his car, which is valued at $9,100. He has $7,600 in student loans to repay. He has a credit card balance of $4,327. He also has $2,600 in a bank account. Construct a net worth statement to find Andre's net worth.
Using net worth statement, Andre's net worth is $159,573.
How to Construct a net worth statement to find Andre's net worth.Andre's net worth can be calculated by subtracting his total liabilities from his total assets.
Total assets = $155,000 (condominium) + $8,100 (stock portfolio) + $9,100 (car value) + $2,600 (bank account) = $174,800
Total liabilities = $3,300 (car loan) + $7,600 (student loans) + $4,327 (credit card balance) = $15,227
Net worth = Total assets - Total liabilities = $174,800 - $15,227 = $159,573
Therefore, Andre's net worth is $159,573.
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HEEELPP
What is the area of this trapezoid?
12 1/4
24 1/4
73 1/2
134 1/2
Therefore, the area of the trapezoid is 1338 3/4 square units.
A quadrilateral with at least one set of parallel sides is known in geometry as a trapezium, or trapezium in British and other versions of English. In Euclidean geometry, a trapezium is invariably a convex quadrilateral. The trapezoid's parallel sides are referred to as its bases.
To find the area of a trapezoid, we use the formula:
Area = (1/2) × (sum of parallel sides) × (height)
In this case, we have the following information:
The two parallel sides are 12 1/4 and 24 1/4.
The height is 73 1/2.
First, we need to add the two parallel sides to find the sum:
12 1/4 + 24 1/4 = 36 1/2
Next, we can plug these values into the formula:
Area = (1/2) × 36 1/2 × 73 1/2
Area = 1338.75
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Correct Question:
Given sides are 12(1/4), 24 (1/4), 73 (1/2) and 134(1/2), then What is the area of this trapezoid?
Simplify: (2x - 5y)(7x-2y)
help plz
Answer:
14x+10y
Step-by-step explanation:
(2x-5y)(7x-2y)
(2x*7x)(-5y*-2y)
someone help this question is worth 50 points! What ratios are equivalent to the ratio 24:4
A.) 6:1
B.) 12:2
C.) 4:24
D.) 48:8
E.) 18:3
F:) 1:6
Step-by-step explanation:
just put the ratios into a fraction if x:y then x/y
A.)6/1=6
B.)12/2=6
C.)4/24=1/6
D.)48/8=6
E.)18/3=6
F.)1/6
24/4=6 so A, B, D, and E are equivilant to the ratio 24/4
Hope that helps :)
Answer:
6:1 ,12:2, 48:8
Step-by-step explanation:
24:4
24 ÷ 4 =6 and 4÷4 =1
6:1
24:4
24÷2 =12 , 4÷2=2,
12:2
48:8
24×2=48, 4×2=8
48:8
NEED ASAP
Seven guests are arriving for dinner. How many possible orders can they arrive in?
7!
5!
5,040!
49!
There are 7! possible orders the guests can arrive in
How to determine the order of arrival?The number of guests is given as:
n = 7
Assume that the guests do not arrive at the same time, their order of arrival is the factorial of the number of guests
i.e. n! = 7!
Hence, there are 7! possible orders the guests can arrive in
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helpppp!! please I'm desperate!
Answer:
In math, a unit fraction can be defined as a fraction whose numerator is 1. It represents 1 shaded part of all the equal parts of the whole.
Step-by-step explanation:
The value of x is:
120⁰
40⁰
50⁰
60⁰
Answer: 60
Step-by-step explanation:
Line=180 degrees
180-120=60
Ayden is preparing for a job interview later today. He is deciding what to wear to the interview. He has 6 shirts, 4 pairs of pants, 3 ties, and 2 pairs of shoes. If an outfit consists of 1 shirt, 1 pair of pants, 1 tie and a pair of shoes, how many different outfits can ayden make?.
If an outfit consists of 1 shirt, 1 pair of pants, 1 tie and a pair of shoes, then 144 different outfits Ayden can make.
In the given question we have to find how many different outfits can ayden make.
Ayden has 6 shirts, 4 pairs of pants, 3 ties, and 2 pairs of shoes.
We have to choose outfit for interview consists of 1 shirt, 1 pair of pants, 1 tie and a pair of shoes.
We have to choose 1 shirt and he has 6 shirts. So he can choose different shirts in 6 ways.
Similarly;
We have to choose 1 pair of pants and he has 4 pair of pants. So he can choose different pair of pants in 4 ways.
We have to choose 1 tie and he has 3 ties. So he can choose different ties in 3 ways.
We have to choose one pair of shoes and he has 2 pair of shoes. So he can choose different pair of shoes in 2 ways.
So the total different outfits that he select = 6*4*3*2 = 144
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The mean replacement time for a random sample of 21 microwave ovens is 8.6 years with a standard deviation of 2.7 years. Construct the 98% confidence interval for the population variance, Assume the data are normally distributed
The 98% confidence interval for the population variance of microwave oven replacement times is approximately (3.248, 14.054) years².
To construct the 98% confidence interval for the population variance of microwave oven replacement times, we'll use the chi-square distribution and the given information:
Sample size (n) = 21
Sample mean = 8.6 years
Sample standard deviation (s) = 2.7 years
First, find the degrees of freedom (df) using the formula:
df = n - 1 = 21 - 1 = 20
Next, find the chi-square values for the 98% confidence interval using a chi-square table or calculator. For a 98% confidence interval and 20 degrees of freedom:
Lower chi-square value (χ2L) = 8.260
Upper chi-square value (χ2U) = 35.479
Now, use the formula to calculate the confidence interval for the population variance (σ²):
Lower limit: (n - 1) × s² / χ2U = (20) × (2.7)² / 35.479 ≈ 3.248
Upper limit: (n - 1) × s² / χ2L = (20) × (2.7)² / 8.260 ≈ 14.054
Therefore, the 98% confidence interval for the population variance of microwave oven replacement times is approximately (3.248, 14.054) years².
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sally has a part time job mowing lawns so she can save money for a new car. she charges $5 per hour define the independent and dependent variables
Answer:
Independent: Amount of hours she works
Dependent: Amount of money she makes
Step-by-step explanation:
The independent variable is the part of the equation that changes. In this case the only thing that changes is how long she works, the amount of money she charges and what she is doing does not change.
The dependent variable is what you measure in the equation. In this case, the amount of money she makes depends on the amount of time she works.
8/9=x+1/3(7) what the answer
Answer:
x=-1.4 repeating or x= -13/9
Step-by-step explanation:
1/3 x 7 = 7/3
8/9=x+7/3
Move the var to left hand side of =
-x=8/9-7/3
subtract the fractions
x-=13/9
change the signs and your done! :D
x=-13/9
Allison makes necklaces.
After buying supplies, she
has a profit of -$150. She
sells 6 necklaces for $23
each. What is her profit
now?
Answer:
288$
Step-by-step explanation:
6 · 23 = 138$
138$ + 150$ = 288$
Which of the following correctly sets up the synthetic division for x^3 − 4x^2 − 3 divided by x + 1?
let's recall that for a synthetic division, or even a long division as well, the dividend and divisor must be in descending order from left-to-right. Check the picture below.
A sample of the students at a middle school is selected by writing the
name of every student in the school on a slip of paper and putting all the
names into a bin. The bin is then rotated to mix the slips of paper and 25
names are drawn without looking. If the bin is rotated after every draw,
which kind of sampling method is this?
OA) Non-random sampling
OB) Simple random sampling
OC) Stratified rondom sampling
OD Systematic random sampling
Answer:
B.
Step-by-step explanation:
Answer:
YO THE PICTURE DIFFRENT
Step-by-step explanation: