10.1 g of fluorine is required to produce 20.0 grams of FeF3
first, we have to balance the equation:
2Fe+3F₂⇒2FeF₃
The molar mass of FeF₃ is 112.84g/mol. so the num of mol(n) of FeF₃ present in 20.0g of mass is calculated as shown below:
n=20.0g/112.84g/mol
n=0.1772mol
According to the balanced equation on the macroscopic scale, 2 mol of FeF₃ is produced from 3 mol of F₂.
so, 0.1772 mol of FeF₃ is produced from X mol of F₂. where X is calculated as shown below:
X=3 mol/2mol*0.1772 mol
X=0.2658 mol
Hence, 0.2658 mol of F₂ is required. The molar mass of F₂ is 38.0g/mol
so, the mass of 0.2658 mol of F2 is calculated as:
m=0.2658 mol*38.0g/mol
m=10.1g
Hence, 10.1 g of fluorine is required.
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T varies directly as the square of P and inversely as Z and T=12 when P=3 and Z=6
5. Using k as the constant of variation, which of the following is the equation of variation?
A. T=
\frac{kp {}^{2} }{z}
z
kp
2
B. T=
kpz {}^{2}kpz
2
C. T=
\frac{kz}{p {}^{2} }
p
2
kz
D. T=
\frac{pz {}^{2} }{k}
k
pz
2
6. Which of the following is the value of the variation constant:
A. 6
B. 8
C. 10
D. 12
7. Which of the following is twice the value of T when P=9 and Z=6?
A. 108
B. 216
C. 54
D. 36
Answer:
A. [tex] T= \frac{KP^2}{Z}[/tex]
D. K = 8
B. 216
Step-by-step explanation:
Q. T varies directly as the square of P and inversely as Z and T=12 when P=3 and Z=6
Solution:
According to the given information:
T varies directly as the square of P.
[tex] T\alpha P^2..... (1)[/tex]
T varies inversely as Z.
[tex] T\alpha \frac{1}{Z} ..... (2)[/tex]
Combining equations (1) & (2)
[tex] T\alpha \frac{P^2}{Z}[/tex]
[tex] T= \frac{KP^2}{Z}[/tex]
(Where K is proportionality constant)
(This is the equation of variation)
Plug T=12, P=3 and Z=6 in the above equation of variation, we find:
[tex] 12= \frac{K(3)^2}{6}[/tex]
[tex] 12= \frac{K\times 9}{6}[/tex]
[tex] K= \frac{12\times 6}{9}[/tex]
[tex] K= \frac{72}{9}[/tex]
[tex] K= 8[/tex]
So, the value of the variation constant = 8
Next, plug P=9, Z=6 and K = 8 in the above equation of variation, we find:
[tex] T= \frac{8(9)^2}{6}[/tex]
[tex] T= \frac{8\times 81}{6}[/tex]
[tex] T= \frac{648}{6}[/tex]
[tex] T= 108[/tex]
[tex] 2T= 2\times 108[/tex]
[tex] 2T= 216[/tex]
So, 216 is twice the value of T.
solve
1. 1/3n=4
what is n?
Pl help it’s for a grade
Answer:
c
Step-by-step explanation:
The cost, in dollars, to produce x vats of ice cream is C ( x ) = 4 x + 4 . When selling them to ice cream shops, the price-demand function, in dollars per vat, is p ( x ) = 88 − 3 x. Find the profit function p(x). How many vats of ice cream need to be sold to maximize the profit? Find the maximum profit. Find the price to charge per vat to maximize profit
Answer:
92-7x
Step-by-step explanation:
88-3x-4x+4=92-7x
Find the slope of the line that passes through (1, 14) and (4,10),
Simplify your answer and write it as a proper fraction, improper fraction, or integer,
Answer: the slope is -4/3
Step-by-step explanation:
A production facility employs 10 workers on the day shift, 8 workers on the swing shift, and 6 workers on the graveyard shift. A quality control consultant is to select 3 of these workers for in-depth interviews. Suppose the selection is made in such a way that any particular group of 3 workers has the same chance of being selected as does any other group (drawing 3 slips without replacement from among 24).
Required:
a. How many selections result in all 5 workers coming from the day shift?
b. What is the probability that all 5 selected workers will be from the day shift?
c. What is the probability that all 5 selected workers will be from the same shift?
d. What is the probability that at least two different shifts will be represented among the selected workers?
e. What is the probability that at least one of the shifts will be unrepresented in the sample of workers?
Answer:
252 ; 0.00593 ; 0.0074 ; 0.9926 ; 0.347
Step-by-step explanation:
A.)
n = 10 ; r = 5
Required outcome :
nCr = n! ÷ (n-r)!r!
10C5 = 10! ÷ (10-5)!5!
(10*9*8*7*6) / (5*4*3*2*1)
= 252
B.)
Total possible outcome : 24C5 = 42504
P(all will be from day shift) = 252 / (24C5) = 0.00593
C.)
P(all will be from the same shift) :
[(10C5)+(8C5)+(6C5)] ÷ 24C5
(252 + 56 + 6) / 42504 = 0.0074
D.)
Probability that at least 2 different shift will be represented :
1 - P(all will be from the same shift)
1 - 0.0074 = 0.9926
D.)
Probability that atleast one of the shift will be unrepresented :
(10+6C5) + (8+6C5) + (10+8C5) - (10C5)+(8C5)+(6C5)
[16C5 + 14C5 + 18C5 - 10C5 + 8C5 + 6C5] ÷ 24C5
(4368 + 2002 + 8568 - 252 + 56 + 6) / 42504
= 14748 / 42504
= 0.347
Jefferson’s class was studying sunflowers. They learned that sunflowers are able to make their own food. Which parts of a sunflower collect most of the sunlight needed to make food?
1. Socks are on sale at 10% discount. What is the sale price of a pair of socks originally
marked #125.00?
Answer:
10/100 = x/125
1250 = 100x
1250/100 = 100x/100
12.5 = x
125 - 12.5 = 112.5
the sale price is $112.5
According to the National Center for Education Statistics, there were 13.2 million undergraduate students enrolled in degree-granting postsecondary institutions in Fall 2000. In Fall 2014, the enrollment was 17.3 million students. Assuming this relationship grows linearly, write a linear function that models the undergraduate enrollment in postsecondary institutions
x years after 2000
Answer:
13.2 + 0.292X = Y
Step-by-step explanation:
Given that, according to the National Center for Education Statistics, there were 13.2 million undergraduate students enrolled in degree-granting postsecondary institutions in Fall 2000, while in Fall 2014, the enrollment was 17.3 million students, assuming this relationship grows linearly, a linear function that models the undergraduate enrollment in postsecondary institutions X years after 2000 would be carried out as follows:
2014-2000 = 14
17.3 - 13.2 = 4.1
4.1 / 14 = 0.292
Thus, each year 292,000 new students are enrolled in postsecondary institutions. Therefore, the function that determines what is requested would be the following:
13.2 + 0.292X = Y
Classify each special right triangle in the length ratio of (Side1 : Side2 : hypotenuse)
Answer: i added a pic of the answers
Step-by-step explanation:
What is the area of a rectangle
7 inches long and 3 inches wide?
Answer:
21
Step-by-step explanation:
you do 7x3
A gym teacher placed golf balls into 9
buckets so that each bucket had at least 15
balls. How many total golf balls are there?
Answer:
135
Step-by-step explanation:
9 x 15 = 135
The total number of the golf ball in all buckets is 135 balls using multiply system
Multiply based problem:What information do we have?
Number of buckets = 9
Number of golf ball in each bucket = 15
Total number of golf ball in all buckets = Number of buckets × Number of golf ball in each bucket
Total number of golf ball in all buckets = 9 × 15
Total number of golf ball in all buckets = 135 balls
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Evaluate using logarithm table, log (0.65)
What type of number is 2?
Choose all answers that apply:
A
Whole number
B
Integer
C
Rational
D
Irrational
Help needed with this
Answer:
Choice 3 is not a function.
For a set of coordinates to be a function, there must be exactly one y-value for every x-value.
For choice 3, we see that the x-coordinate of "1" has two y-values, 3, and 7.
This means, that choice 3 is NOT a function.
Let me know if this helps!
what is loss and profit
Answer:
The profit and loss (P&L) statement is a financial statement that summarizes the revenues, costs, and expenses incurred during a specified period, usually a fiscal quarter or year. These records provide information about a company's ability or inability to generate profit by increasing revenue, reducing costs, or both.
Step-by-step explanation:
Calculating Profit and Loss. The actual calculation of profit and loss in a position is quite straightforward. To calculate the P&L of a position, what you need is the position size and the number of pips the price has moved. The actual profit or loss will be equal to the position size multiplied by the pip movement.
D'Andre earns some money by helping people with their yards. It takes him an average of 2 hours to weed a flowerbed and an average of 1.5 hours to mow and edge a lawn. He can work no more than 6 hours a day. He charges $60 to weed a flowerbed and $75 to mow and edge a lawn. He needs to cover his expenses of $150 to make a profit. Write a system of inequalities that would help determine how many flowerbeds and lawns he could complete on a given day.
______________________________
plz help its due like rn so I'll give brainliest
Answer:
3 flowerbeds and 5 lawns.
Step-by-step explanation:
I promise.
What are three fractions that are equivalent to 1.
math help pls tsnsnnsnsshs
Answer:
68°
Step-by-step explanation:
90°(right angle)-22°(angle 5 measurement) = 68°
1. The temperature of a body rises from -6°c to 5°c. By how much degrees does it rises?
colin did the work to see if 10 is a solution to the equatio
Please answer :)
( Will give brainlst)
Answer: 10
Step-by-step explanation:
Step-by-step explanation:
all the processes are shown in the picture hope that helps
Eight randomly selected customers at a local grocery store spent the following amounts on groceries in a single visit: $216, $184, $35, $92, $142, $175, $9, and $57. Let yi denote the amount spent on groceries by a single customer in a single visit. Find the following (give the answers without commas):
a. ∑y
b. (∑y)^2
c. ∑y^2
Answer:
a) 910
b) 828100
c) 144320
Step-by-step explanation:
a. ∑y
This is the sum of all values of y. So
[tex]\sum y = 216 + 184 + 35 + 92 + 142 + 175 + 9 + 57 = 910[/tex]
b. (∑y)^2
This is the square of the sum, so the square of 910, that we found in the previous item.
910² = 828100
c. ∑y^2
This is the sum of the squares of each amount spent. So
[tex]\sum y^2 = 216^2 + 184^2 + 35^2 + 92^2 + 142^2 + 175^2 + 9^2 + 57^2 = 144320[/tex]
Is borrowing money a
Delegated power
Reserved power
Concurrent power
Answer:
C. concurrent power
Step-by-step explanation:
Such powers are called concurrent powers. These include the power to tax, spend, and borrow money. State governments operate their own judicial systems, charter corporations, provide public education, and regulate property rights.
Ally bought 5 different cakes for her birthday. His friends ate 3 1/4 of the amount of cake. Then he gave 1/2 of the cake to his grandmother. How much cake does Ally have left?
Answer:
7/8 of a cake
Step-by-step explanation:
4 4/4 - 3 1/4 = 1 3/4
7/4 x 1/2 = 7/8
Which statement is true about compound interest?
The interest is figured on the principal only.
The amount in the account grows slower than with simple interest of the same rate.
The interest can be compounded over different time intervals.
The interest in most banks is not calculated using compound interest.
Compound interest is the interest calculated using the principal and the interest over a period of time.
The statements that are true about compound interest are:
The interest can be compounded over different time intervals.
The interest in most banks is not calculated using compound interest.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + rn)^{nt}[/tex]
P = principal
r = rate
t = time in years
n = number of times compounded in a year.
We have,
The interest is figured on the principal only.
This is not true because we calculate the compound interest on the interest as well.
The amount in the account grows slower than with simple interest of the same rate.
This is not true because we are calculating the interest on the principal and interest together.
The amount with compound interest will be more than the amount with simple interest.
The interest can be compounded over different time intervals.
This is true because we can have different time intervals such as,
monthly compounded, quarterly compounded, bimonthly compounded, and yearly compounded.
The interest in most banks is not calculated using compound interest.
This is true because banks don't calculate using compound interest.
Thus,
The statements that are true about compound interest are:
The interest can be compounded over different time intervals.
The interest in most banks is not calculated using compound interest.
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Components used in a cellular telephone are manufactured with nominal dimension of .3 mm and lower and upper specification limits of .295 mm and .305 mm respectively. the x bar and R control charts for this process are based on subgroups of size 3 and they exhibit statistical control, with the center line on the x bar chart at .3015 mm and the center line of the R chart at .00154 mm.
a) Estimate the mean and standard deviation of this process.
b) Suppose that parts below the LSL can be reworked, but parts above the USL must be scrapped. Estimate the proportion of scrap and rework produced by this process.
c) Suppose that the mean of this process can be reset by fairly simple adjustments. What value of the process mean would you recommend? Estimate the proportion of scrap and rework produced by the process at this new mean.
Answer:
Kindly check explanation
Step-by-step explanation:
Xbar = 0.3015 ; Rbar = 0.00154
USL = 0.295 ; LSL = 0.305
For a subgroup size of 3 ; k = 3 ; d2 = 1.693
The mean = xbar = 0.3015 mm
The standard deviation = Rbar / d2 = 0.00154 / 1.693 = 0.0009096
b) Suppose that parts below the LSL can be reworked, but parts above the USL must be scrapped. Estimate the proportion of scrap and rework produced by this process.
P(X < 0.295)
(x - mean) / standard deviation
(0.295 - 0.3015) / 0.0009096 = 0.00003
0.00003 should be reworked.
P(X > 0.305)
1 - P(X < 0.305)
(x - mean) / standard deviation
(0.305 - 0.3015) / 0.0009096 = 3.847
1 - P(Z < 3.847)
1 - 0.99994
= 0.00006
0.00006 should be reworked.
c) Suppose that the mean of this process can be reset by fairly simple adjustments. What value of the process mean would you recommend? Estimate the proportion of scrap and rework produced by the process at this new mean.
Recommended mean = 0.3000 mm
P(X < 0.295)
(x - mean) / standard deviation
(0.295 - 0.3000) / 0.0009096 = 0.00003
0.00003 should be reworked.
P(X > 0.305)
1 - P(X < 0.305)
(x - mean) / standard deviation
(0.305 - 0.3000) / 0.0009096 = 5.497
1 - P(Z < 5.497)
1 - 0.99997
= 0.00003
0.00003 should be reworked.
answer asap please!!
Answer:
61.6 units
Step-by-step explanation:
C (-8,-10)
D (8,10)
E (-8,10)
find the distance between the following points
CD = 25.6
DE = 16
EC = 20
Add them all up
61.6 units
Find the perimeter, in inches, of the parallelogram
perimeter of a parallelogram
= 2(l + b)
= 2(8 inches + 6 inches)
= 2(14 inches)
= 28 inches
Step-by-step explanation:
length = 8 inches breadth = 6 inchesperimeter of parallelogram = 2 ( length + breadth )= 2( 8 + 6 )= 2 ×14= 28 inches MARK ME AS BRAINLISTBusiness Maths
1703
The following problems were in your worksheet on direct and inverse proportion. Reformulate the
relationships as algebraic expressions and remember to define the variables you use. You do not
have to solve the expressions.
5. The students in class usually drink a lot of water to help with their studies. I have found that
with five students in the class at least 30 litres of water is needed. How much water will be
needed when there are 30 students in the class?
Answer:
30/5=6
6*30=180
So 180 litres