Answer:
3 - (n - 1) = 1/2(3n - 4)
Step-by-step explanation:
We want to write three minus the difference of a number and one equals one-half of the difference of three times the same number and four as an equation.
Let the number be n.
The first part is: three minus the difference of a number and one:
3 - (n - 1)
The second part is: one-half of the difference of three times the same number and four:
1/2(3n - 4)
Now, let us equate the first and second parts:
3 - (n - 1) = 1/2(3n - 4)
PS: I really do not understand the options
Answer:
D) 3 – (n – 1) = left-parenthesis 6 plus 2 right-parenthesis left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis x minus 3 right-parenthesis.(3n – 4)
CaC(s) + H2O(l) > Ca(OH)2(s): triangle H = -65.2kJ
Answer:
Answer: 1) 155.65 kJ; 2) -59.0 kJ/mol; 3) a)
Step-by-step explanation:
Answer on Question # 55533 - Chemistry - General chemistry
Question:
1. Given the data. N2(g) + O2(g) = 2 NO(g) ΔH = +180.7 kJ; 2 NO(g) + O2(g) = 2 NO2(g) ΔH = −113.1
kJ; 2 N2O(g) = 2 N2(g) + O2(g) ΔH = − 163.2 kJ; Use Hess’s Law to calculate ΔH for the reaction
N2O(g) + NO2(g) = 3 NO(g); Show your work.
2. Calcium carbide (CaC2) reacts with water to form acetylene (C2H2) and Ca(OH)2. From the
following enthalpy of reaction data and data in Appendix C in textbook, calculate ΔHf° for CaC2(s):
CaC2(s) + 2 H2O(l) Ca(OH)2(s) + C2H2 (g) ΔH = −127.2kJ
3. Using average bond enthalpies, predict which of the following reactions will be most
exothermic: a) C(g) + 2 F2(g) CF4(g) b) CO(g) +3 F2(g) CF4(g) + OF2(g) c) CO2(g) + 4 F2(g) CF4(g) +
2 OF2(g)
Solution
1)
N2(g) + O2(g) = 2 NO(g) ΔH1 = +180.7 kJ x(+2)
2 NO(g) + O2(g) = 2 NO2(g) ΔH2 = −113.1 kJ x(-1)
2 N2O(g) = 2 N2(g) + O2(g) ΔH3 = − 163.2 kJ x(+1)
2N2O(g) + 2NO2(g) = 6 NO(g) ΔH = (ΔH3 + 2ΔH1 – ΔH2)
N2O(g) + NO2(g) = 3 NO(g) ΔH = (ΔH3 + 2ΔH1 – ΔH2)/2 = 155.65 kJ
2)
CaC2(s) + 2 H2O(l) = Ca(OH)2(s) + C2H2 (g) ΔHrxn = −127.2kJ
ΔHrxn = ΔHf°(C2H2) + ΔHf°(Ca(OH)2) - 2ΔHf°(H2O) - ΔHf°(CaC2);
ΔHf°(CaC2) = ΔHf°(C2H2) + ΔHf°(Ca(OH)2) - 2ΔHf°(H2O) – ΔHrxn
ΔHf°(C2H2) = 227.4 kJ/mol
ΔHf°(Ca(OH)2) = -985.2 kJ/mol
ΔHf°(H2O) = -285.8 kJ/mol
ΔHf°(CaC2) =227.4 - 985.2 + 2x285.8 + 127.2 = -59.0 kJ/mol
3)
a) C(g) + 2 F2(g) = CF4(g)
b) CO(g) +3 F2(g) = CF4(g) + OF2(g)
c) CO2(g) + 4 F2(g) = CF4(g) + 2 OF2(g)
C-F bond enthalpy 440 kJ/mol
C=O bond enthalpy in carbon dioxide 805 kJ/mol
C=O bond enthalpy in carbon monoxide 1077 kJ/mol
O-F bond enthalpy 184 kJ/mol
F-F bond enthalpy 153 kJ/mol
a) ΔHrxn = 2x153 - 4x440 = -1454 kJ – the most exothermic
b) ΔHrxn = 1077 + 3x152 - 2x184 - 4x440 = -595 kJ
c) ΔHrxn =805x2 + 4x153 - 4x440 – 2x2x184 = -274 kJ
3. Two-thirds of a number plus 4 is 76. What is the number?
Answer:
108
Step-by-step explanation:
2/3x+4=76
2/3x=72
x=72*3/2
x=108
Answer:
Do the opposite of what they say
76 - 4 = 72
72 / 2/3 = 72 x 3 / 2 = 216 / 2 = 108
108 is the number
now to double check
108 x 2/3 = 216 / 3 = 72
72 + 4 = 76
108 is the number
Hope this helps
Step-by-step explanation:
Two similar triangles are shown below:
a
6
8
2
3
b
4
Which two sets of angles are corresponding angles?
O
O
O
O
Answer:
<a and <d; <b and <c.
Step-by-step explanation:
When two triangles are said to be similar, the ratio of the corresponding sides of both triangles is always the same, also, their corresponding angles are congruent. That is, they are equal.
The 2 set of angles that are corresponding angles of the two similar triangles given in the question above are:
<a and <d; <b and <c.
Both set of angles are congruent to each other. In other words, they are equal.
Classify the triangle shown below. Check all that apply.
53
5
3
90°
37
4
O A. Equilateral
B. Isosceles
O C. Right
O D. Obtuse
E. Acute
O F. Scalene
Answer:
C. and F.
Step-by-step explanation:
A scalene triangle is a triangle in which all three sides have different lengths. Also the angles of a scalene triangle have different measures. Some right triangles can be a scalene triangle when the other two angles or the legs are not congruent. Right angle are 90 degrees
Answer:
C and F
Step-by-step explanation:
This triangle is not an equilateral triangle because their lengths are not equivalent to each other. It is not an isosceles triangle because no two lengths are equivalent to each other. It is a right triangle because it has one right angle(A 90 degrees angle.) It is not an obtuse triangle because there isn't an angle that is obtuse(More than 90 degrees but less than 180 degrees angle.) It isn't an acute triangle either because not all three angles are acute(Less than90 degrees angle.) Lastly, it is also a scalene triangle because none of the triangle lengths are equivalent to each other.
Which of the following is the solution to the following system of inequalities? Let the green region represent the answer region.
Answer:
Option (A)
Step-by-step explanation:
There are two inequalities drawn on a graph.
x + 2y ≤ 4 ------(1)
3x - y ≤ 2 -------(2)
Here solution set of the inequality (1) will be represented by the shaded area below the solid line (in blue) represented by "x + 2y = 4".
(Line x + 2y = 4 will have the slope slanting down and y-intercept as 2)
Second inequality will represent the shaded area on the left of the solid red line represented by "3x - y ≤ 2".
(Line 3x - y = 2 will have the slope upwards and y-intercept as -2)
Solution area of these inequalities will be the common area shaded in green.
Graph given in Option (A) will be the answer.
The following quadrilateral is a parallelogram. An illustration of parallelogram MLKJ. Angle L measures 6x+18 degrees and angle J measures 8x-2 degrees. The measure of angle L is ___ degrees.
Answer:
m∠L = 78°
Step-by-step explanation:
Properties of a parallelogram,
1). Opposite sides are equal and parallel.
2). Diagonals are equal in measure .
3). Opposite angles are equal in measure.
4). Consecutive angles are supplementary
5). Diagonals bisect each other.
By the property number (3),
m∠J ≅ m∠L
(8x - 2) = (6x + 18)
8x - 6x = 18 + 2
2x = 20
x = 10
Therefore, m∠L = (6x + 18)
= 60 + 18
= 78°
Find two geometric means between 7 and 189
Answer: 21, 63
Step-by-step explanation:
We need to find two geometric means between 7 and 189.
The Geometric Sequence is: 7, ____, ____, 189
Let's find r (common ratio):
We can see that the common ratio will be multiplied by itsely 3 times in order to get from 7 to 189:
7 r³ = 189
[tex]r^3=\dfrac{189}{7}[/tex]
r³ = 27
∛r³ = ∛27
r = 3
Now that we know the common ratio is 3, we can multiply 7 and 3 to get the next term (21), and multiply that by 3 to get the third term (63), and multiply that by 3 as a check to confirm we get 189.
7 x 3 = 21
21 x 3 = 63
63 x 3 = 189 [tex]\checkmark[/tex]
The completed Geometric Sequence is: 7, 21, 63, 189
We have that the two geometric means between 7 and 189 are
[tex]x=21 \ and \ y=63[/tex]
From the calculations below
From the question we are told that:
There are two geometric means
7 and 189
Generally for two geometric means between 7 and 189
Let the unknown means be x and y respectively
Therefore
The geometric Progression will be
7,x,y,189
Since they share a similar common ratio r
Therefore
[tex]r=\frac{x}{7}=\frac{y}{x}=\frac{189}{y}[/tex]
Hence
[tex]\frac{x}{7}=\frac{y}{x}\\\\y=\frac{x^2}{7}..........equ1[/tex]
And
[tex]\frac{y}{x}=\frac{189}{y}\\\\y^2=189x.........equ 2[/tex]
Therefore
Substituting equ1 into equ2 we have
[tex](\frac{x^2}{7})^2=189x\\\\x=21[/tex]
Having x we substitute x into equ...1
[tex]y=\frac{(21)^2}{7}\\\\y=63[/tex]
In Conclusion
The two geometric means between 7 and 189
[tex]x=21 \ and \ y=63[/tex]
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In conclusion
need this ASAP. pls answer this question
Answer:
this is ur answer so memories
Deb works 19.5 hours at a car wash every week. She makes $12.80 per hour. Each week, she puts 1 4 of her earnings into her savings account. How much money does Deb put into her savings account each week?
Answer:
She will save 62.40
Step-by-step explanation:
First find the total amount she makes
hours times hourly rate
19.5 * 12.80
249.60
She saves 1/4 of this, so multiply by 1/4
1/4 * 249.60
62.40
She will save 62.40
Answer:
62.40
Step-by-step explanation:
if f(x)=kx^3-1 and f^-1 (15)= 2, find k
Answer:
k = 2
Step-by-step explanation:
Okay, the first thing we need to do here is find the inverse of the equation given.
f(x) = kx^3 -1
Let f(x) = m
m = kx^3 -1
m + 1 = kx^3
(m+1)/k = x^3
x = 3x√(m+1)/k
Thus, the inverse is;
f^-1(x) = 3x√(x + 1)/k
now let’s make the substitution for f^-1(15)
2 = 3x√(15+1)/k
2 = 3x√(16/k
Cube both sides
2^3 = 16/k
8 = 16/k
8k = 16
k = 16/8 = 2
Two points A (-2, 9) and B (4, 8) lie on a line l. (i) Find the slope of the line l. (2)marks (ii) Find the coordinates of the midpoint of the points A and B (iii) Find the distance between points A and B. (i). A line “t” is parallel to 3y = 6x + 9. Find the slope of this line “t”. (ii) Another line “r” is perpendicular to the line 3y = 6x + 9. Find the gradient of the line “r”.
Answer :
1 (i). [tex]slope \: = - \frac{1}{6} [/tex](ii). [tex]midpoints \: = (1 \: \: \frac{17}{2} )[/tex](iii) . [tex]distance \: = \sqrt{37} [/tex]2(i). [tex]slope \: = 2[/tex][tex]gradient \: = - \frac{1}{2} [/tex]I Hope it helps :)
identify the area of the trapezoid. options: 299cm^2 325cm^2 425cm^2 399cm^2
Answer:399
Step-by-step explanation:
((a+b)/2) * h
((13+25)/2) * 21
399
<!> Brainliest is appreciated! <!>
Find the value of x in each case:
Answer:
angle FGE = 36
angle GEL = 72
and angle GFH = 144
Step-by-step explanation:
well you know that angle GEF = 180 -2x
and that angle GFE = 180 -4x
so all the angles in triangle GEF must add to 180
so you have 180 = 180 -2x + 180 -4x + x
180 = 360 -5x
5x = 180
x = 36
so angle FGE = 36
angle GEL = 72
and angle GFH = 144
Find the volume of the prism
Answer:
152.4
Step-by-step explanation:
I need help with this question
Answer:
y = -3x + 8
Step-by-step explanation:
You have to find the slope first using the formula [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
Insert any two points in the equation (1,5) and (2,2) and you get -3.
Then, you do any x value times the slope (1*-3 = -3) and add so that it equals the corresponding y value (8).
This makes it y = -3x + 8.
There are 10 sweets in a bag.
4 are red, 2 are green, 3 are yellow and 1 is purple.
A sweet is chosen at random from the bag.
Here is a probability scale:
А в с
a) Which letter shows the probability of choosing a yellow sweet?
b) Which letter shows the probability of choosing a sweet that is not orange?
Answer:
a) 0.3.
b) 1.
Step-by-step explanation:
Note: The scale of probability is not given properly. So, the probability of following events are given below:
It is given that,
Total number of sweets in a bag = 10
Red sweets = 4
Green sweets = 2
Yellow sweets = 3
Purple sweet = 1
a)
We need to find the probability of choosing a yellow sweet.
[tex]P(Y)=\dfrac{\text{Yellow sweets}}{\text{Total number of sweets in a bag}}[/tex]
[tex]P(Y)=\dfrac{3}{10}[/tex]
[tex]P(Y)=0.3[/tex]
Therefore, the probability of choosing a yellow sweet is 0.3.
b)
We need to find the probability of choosing a sweet that is not orange.
[tex]P(O')=1-\dfrac{\text{Orange sweets}}{\text{Total number of sweets in a bag}}[/tex]
[tex]P(O')=1-\dfrac{0}{10}[/tex]
[tex]P(O')=1[/tex]
Therefore, the probability of choosing a sweet that is not orange is 1.
Probabilities are used to determine the chances of events.
The probability of choosing a yellow sweet is 0.3The probability of choosing a sweet that is not orange is 0The probability scale is not given; so, I will give a general explanation.
The given parameters are:
[tex]Red = 4[/tex]
[tex]Green = 2[/tex]
[tex]Yellow= 3[/tex]
[tex]Purple = 1[/tex]
[tex]Total = 10[/tex]
(a) The probability of choosing a yellow sweet
This is calculated using:
[tex]P(Yellow) = \frac{Yellow}{Total}[/tex]
So, we have:
[tex]P(Yellow) = \frac{3}{10}[/tex]
Divide 3 by 10
[tex]P(Yellow) =0.3[/tex]
Hence, the probability of choosing a yellow sweet is 0.3
(b) The probability of choosing a sweet that is not orange
This is calculated using:
[tex]P(Not\ Orange) = 1 - \frac{Orange}{Total}[/tex]
So, we have:
[tex]P(Not\ Orange) = 1 - \frac{0}{10}[/tex]
Divide 0 by 10
[tex]P(Not\ Orange) = 1 - 0[/tex]
[tex]P(Not\ Orange) = 1[/tex]
Hence, the probability of choosing a sweet that is not orange is 0
Read more about probabilities at:
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Describe the translation that maps the preimage to the image.
Answer:
the solution is A
Step-by-step explanation:
(x,y)==> (x-8, y)
(6-8, 4)==> (-2, 4)
A triangle has vertices at (4.-2), (2.2), and (4.6). What are the vertices of the image of the triangle after applying the
translation (x, y)=(x - 1, y + 2)?
Answer:
see explanation
Step-by-step explanation:
The translation rule (x, y ) → (x - 1, y + 2 )
Means subtract 1 from the original x- coordinate and add 2 to the original y- coordinate, thus
(4, - 2 ) → (4 - 1, - 2 + 2 ) → (3, 0 )
(2, 2 ) → (2 - 1, 2 + 2 ) → (1, 4 )
(4, 6 ) → (4 - 1, 6 + 2 ) → (3, 8 )
Mathematical Statement Justification
4(x + 5) = 2x + 2 Given
4x + 20 = 2x + 2
2x + 20 = 2
2x = -18
x = -9
Fill in the missing justifications in the correct order.
Answer:
Look at the explanation
Step-by-step explanation:
after the second line (4x-2x) +20= 2
--------------
after the 3rd line
2x=2-20=-18
-------------------
after 4th line x=-18/2
-----------------------------------------------------------------------------
At the end
4(-9+5)=2(-9)+2
-36+20=-18+2
-16=-16 so it is right
The perimeter of a square is 80 minus 64 y units. Which expression can be used to show the side length of one side of the square? 16 (5 minus 4 y): Each side measures 5 minus 4 y units. 16 y (5 minus 4): Each side measures 5 minus 4 units. 4 (20 minus 16 y): Each side measures 20 minus 16 y units. 4 y (20 minus 16): Each side measures 20 minus 16 units.
Answer: 4 (20 minus 16 y): Each side measures 20 minus 16 y units.
Step-by-step explanation:
Hi, to answer this question we have to know the formula of the perimeter of a square:
Perimeter = side length x 4
Since:
p = 80-64y = s x 4
Solving for s (side length)
80-64y /4 = s
s = 20- 16 y
So, the correct option is:
4 (20 minus 16 y): Each side measures 20 minus 16 y units.
Feel free to ask for more if needed or if you did not understand something.
Answer:
i believe its C
Step-by-step explanation:
Speedy texting 3a: Lydia wants to text at least 8 characters per second, like James, then the equation would be 10r+4=8 could be used to model this situation. Solve this equation for R. 3b: Explain what the variable r represents in the equation given in question 3a.
Answer:
Speedy Texting
3a. In the equation, 10r + 4 = 8
r = 0.4 or 40%
3b. The variable r represents an independent variable in the equation. An independent variable is a variable that is not dependent on another variable, instead other variables depend on it. Whatever its value is changes the value of other variables in the equation.
Step-by-step explanation:
a) Solving the equation:
10r + 4 = 8
10r = 8 - 4
10r = 4
r = 4/10 = 0.4 or 40%
Which of the following is a parent function?
Answer:
B
Step-by-step explanation:
A parent function is the simplest function that still satisfies the definition of a certain type of function. One of those functions is exponential, which is b.
Option (B) will be the correct option.
Definition of a parent function:A parent function is simplest function which represents the entire family of that kind of functions.
We will check each option given for the definition of a parent function.
Option (A)
[tex]f(x)=-2^{x+1}[/tex]
Parent function will be,
[tex]f(x)=2^x[/tex]
Option (B),
[tex]f(x)=4^x[/tex]
It's a simplest form of an exponential function.
Therefore, it's a parent function.
Option (C),
[tex]f(x)=e^{3x}-2[/tex]
Parent function → [tex]f(x)=e^{3x}[/tex]
Option (D),
[tex]f(x)=4x^2[/tex]
Parent function → [tex]f(x)=x^2[/tex]
Learn more about the parent function and the transformation here,
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1. Analyze the following pattern: 1, 2, 5, 10, 17,
Answer:
n² - 2n + 2
Step-by-step explanation:
The difference in the pattern are odd numbers.
2 - 1 = 1
5 - 2 = 3
10 - 5 = 5
17 - 10 = 7
So there is a -2n in the nth term.
If we subtract 1 on each term.
0, 1, 4, 9, 16
We get whole squares.
So there is a n² in the nth term.
(1)² - 2(1)+ c = 1
1 - 2 + c = 1
-1 + c = 1
c = 2
The nth term is:
n²-2n+2
plzz help on Question B nd C plzz
Answer:
see explanation
Step-by-step explanation:
(b)
The roots of f(x) = 0 are the values of x on the x- axis at the points where the graph crosses, that is
x = - 1 and x = 3
(c)
f(0) is the point on the y- axis where the graph crosses, that is 3, thus
f(0) = 3
Mr. Rifkin had 240 digital and manual cameras. After donating 82 digital cameras and 26 manual cameras, he had 3 times as many digital cameras as manual cameras left. How many digital cameras did he have at first?
Answer:
therefore, he had 181 digital cameras at first
Step-by-step explanation:
total=240
digital= 3x+82
manual= x+26
total= digital + manual
240= 3x+82+26+x
x= 240-108/4
x= 33
digital= 3×33+83
=181
Answer:
181
Step-by-step explanation:
Let d represent the number of digit cameras Mr. Rifkin had at first. Then 240-d is the number of manual cameras he had. The after-donation numbers are ...
(d -82) . . . digital cameras after donating 82
(240 -d) -26 . . . manual cameras after donating 26
These values are related by ...
(d -82) = 3((240 -d) -26)
4d = 724 . . . . . add 3d+82 and simplify
d = 181
Rifkin had 181 digital cameras at first.
_____
Check
Rifkin started with 181 digital cameras and 59 manual cameras. After donation, he had 99 digital cameras and 33 manual cameras, so 3 times as many digital as manual—as required.
Write the following using algebraic notation, using the letter x for any
unknown numbers
I think of a number, add one, then double the result.
Answer:
x+1=x *x
Step-by-step explanation:
Answer:
x+1= x*x
Step-by-step explanation:
hope this helps
What number can be used to complete the volume statement for the cone? A cone with height 4 meters and diameter 3 meters.
Step-by-step explanation:
The formula of a volume of a cone:
[tex]V=\dfrac{1}{3}\pi r^2H[/tex]
r - radius
H - height
We have
[tex]H=4m;\ 2r=3m\to r=1.5m[/tex]
We have everything we need to calculate the volume of the cone.
[tex]V=\dfrac{1}{3}\pi(1.5)^2(4)[/tex]
If we want to get the approximate volume, we must use the approximation of the number π.
[tex]\pi\approx3.14;\ \pi\approx\dfrac{22}{7}[/tex]
[tex]V=\dfrac{1}{3}\pi(2.25)(4)=\dfrac{9\pi}{3}=3\pi\approx(3)(3.14)=9.42\ (m^3)[/tex]
Answer:
The person above me is wrong, the answer is 3
Step-by-step explanation:
I got it right on the test
At the city museum, child admission is $6.20 and adult admission is $9.50. On Friday, tickets were sold for a total sales of $1082.00. How many child tickets were sold that day?
Answer:
98child tickets were sold that day
Step by step Explanation:
Let the number of children= A of the number of adult
Then
6.20C + 9.50A = 1082.0
From the question it was said that four times as many adult tickets as child tickets were sold which implies that number of adult was FOUR times the children, then we can say
A= 4C
Then substitute into the above equation
6.20C + 9.50A = 1082.0
6.20C + 9.50(4C) = 1082.0
6.20C + 38C= 1082.0
44.2C =1082.0
C= 24.48
But we know that
A= 4C
A=4* 24.48
A= 97.9
Therefore ,98child tickets were sold that day
When graphed, which function has a horizontal asymptote at 4?
Hope you Understand :)
Answer:
f (x) = 2(3x) + 4
Step-by-step explanation:
Abel’s age in 2019 will be equal to the sum of the digits of his year of birth. If Abel is an adult, how old is Abel now?
Answer:
23
Step-by-step explanation:
If Abel was born in 1994, in 2019 he would be 23.
1+9+9+4=23