Answer: -5/2 or 1/6
Step-by-step explanation:
I6n + 7I = 8
Therefore (6n + 7) = 8 or -8 because modulus means we're only getting it's absolute value, (it's positive value) meaning it could equal 8 or -8 before it's modulus'ed.
Therefore 6n + 7 = 8
or 6n + 7 = -8
Leaving us with:
6n = 1
6n = -15
So n = 1/6
or n = -5/2 (-2.5)
Answer:
n = 1/6 n = -5/2
Step-by-step explanation:
|6n+7|=8
This has two solutions, one positive and one negative
6n+7 = 8 and 6n+7 = -8
Subtract 7 from each side
6n+7-7 = 8-7 6n+7-7 =-8-7
6n =1 6n = -15
Divide by 6
6n/6 = 1/6 6n/6 = -15/6
n = 1/6 n = -5/2
En el mercado del satisfactor X hay 10,000 individuos idénticos, cada uno con una función de demanda definida por Qdx = 12 – Px y 1,000 productores idénticos del satisfactor X, cada uno con una función de oferta dada por Qsx = 20 Px
Answer:
Px = $4
Step-by-step explanation:
Given that:
En el mercado de satisfacción X hay 10,000 individuos idénticos, cada uno con una función de demanda definida por Qdx = 12 - Px y 1,000 productores idénticos de X satisfactorio, cada uno con una función de oferta dada por Qsx = 20 Px
El precio de equilibrio y la cantidad de equilibrio se pueden determinar de la siguiente manera;
Qdx = 10000(12-Px)
Qdx = 120000 - 10000Px
Qsx = 1000(20 Px)
Qsx = 20000 Px
El punto de equilibrio para completar el enunciado, cuando Qdx = Qsx es:
Qdx = Qsx
120000 - 10000 Px = 20000 Px
120000 = 20000 Px + 10000 Px
120000 = 30000 Px
Px = [tex]\mathbf{ \dfrac{120000}{30000}}[/tex]
Px = $4
A magazine provided results from a poll of adults who were asked to identify their favorite pie. Among the respondents, % chose chocolate pie, and the margin of error was given as percentage points. Describe what is meant by the statement that "the margin of error was given as percentage points.
Which one would be a true statement?
A. The statement indicates that the study is 100%−3%=97% confident that the true population percentage of people that prefer chocolate pie is 11%
B. The statement indicates that the interval 11%+3% is likely to contain the true population percentage of people that prefer chocolate pie.
C. The statement indicates that the true population percentage of people that prefer chocolate pie is in the interval 11%±3%.
D. The statement indicates that the study is only 3% confident that the true population percentage of people that prefer chocolate pie is exactly 11%.
Answer:
C. The statement indicates that the true population percentage of people that prefer chocolate pie is in the interval 11%±3%.
Step-by-step explanation:
Data provided in the questions
Number of respondents = 1,000
Choose chocolate pie = 11%
margin of error = ±3 percentage points
Based on the above information,
The lower limit is
= 0.11 - 0.03
= 0.08
And, the upper limit is
= 0.11 + 0.03
= 0.14
So based on the above computation, the option c is correct as it represents the true population percentage of people with respect to the chocolate pie preference
Lucy is tiling her bathroom. She buys white and blue tiles in the
ratio 13:2.Blue tiles cost £2.80 while white tiles cost £2.35.If she
buys 16 blue tiles how much does Lucy spend on tiles in total?
Answer:
£289.20
Step-by-step explanation:
13:2 = x:16 or 13/2 = x/16
cross multiply: 208 = 2x
simplify: x = 104
16 blue tiles x £2.80 each = £44.80
104 white tiles x £2.35 each = £244.40
44.80 + 244.40 = £289.20
Approximate 0.007349 to 3 significant figure
Answer:
0.007349 to 3 significant figure=0.00735
Step-by-step explanation:
Approximate 0.007349 to 3 significant figure
Significant figure start from 1 to 9 with the exclusion of 0
From the question above, there are two zeros after the decimal point, so it will be ignored because it is not a significant figure.
0.007349
The first significant number is 7 after 0
The second significant number is 3
The next
The third significant number is 4
The fourth significant number is 9
We want to approximate to three significant figure, so, all figure after 4(third significant figure) will be rounded up or down.
If the numbers are below 5(0, 1,2,3,4) they will be rounded down to 0
If the numbers are above 4(5,6,7,8,9), they will be rounded up to 1
So the number after 4 is 9, therefore it will be rounded up to make 4=5
0.007349 to 3 significant figure=0.00735
Consider the two functions. Which statement is true?
A)Function 1 has a greater rate of change by 13/4
B)Function 2 has a greater rate of change by 13/4
C)Function 1 has a greater rate of change by 13/2
D)Function 2 has a greater rate of change by 13/2
Answer: Function 2 has a greater rate of change by 13/4
Step-by-step explanation:
We must work with linear equations, remember that the general shape is:
y = a*x + b
where a is the slope and b is the y-intercept.
Ok, first we want to find the rate of change (or the slope) of the graphed line:
We know that for a line that passes through the points (x1, y1) and (x2, y2)
The slope is:
a = (y2 - y1)/(x2 - x1)
Then for the graphed function, we can see that it passes through the points:
(0, -2) and (4, 0)
Then the slope is:
a = (0 -(-2))/(4 - 0) = 2/4 = 1/2
Now, the slope of the second line is 15/4.
Let's calculate the difference between the slopes:
15/4 - 1/2 = 15/4 - 2/4 = 13/4
(notice that we are calculating slope2 - slope1)
Then the correct option is:
Function 2 has a greater rate of change by 13/4
Answer:
B) Function 2 has a greater rate of change by 13/4
Step-by-step explanation:
A shop has a sale of 10% off all items in stock. If the original price of a dress is £60 what would be its sale price?
Answer:
£ 54Step-by-step explanation:
Given,
Discount percent = 10%
Marked price ( MP ) = £ 60
Selling price ( SP ) = ?
Now, finding the discount amount:
Discount amount = discount percent of MP
= 10% of 60
= £ 6
Selling price = Marked price - Discount amount
=£ 60 - £ 6
= £ 54
hope this helps...
Good luck on your assignment..
What is the method of comparing Coefficient
Answer: In mathematics, the method of equating the coefficients is a way of solving a functional equation of two expressions such as polynomials for a number of unknown parameters. It relies on the fact that two expressions are identical precisely when corresponding coefficients are equal for each different type of term.
.
The formula for finding the kinetic energy, E, of an object is given below, where m represents the mass and v represents the speed of the object.
Answer:
v=√E/m or v=√E /√m
Step-by-step explanation:
Complete question below:
The formula for finding the kinetic energy, E, of an object is given below, where m represents the mass and v represents the speed of
the object.
E = mv^2
Solve the formula for v.
Solution
E=mv^2
Where,
E=kinetic energy
m=mass
v=speed of the object
E=mv^2
Divide both sides by m
E/m=mv^2/m
E/m=v^2
It can be rewritten as
v^2=E/m
Square root both sides
√(v^2)=√E/m
v=√E/m
Or
v=√E/√m
This is to say speed (v)=square root of kinetic energy (E) Over masa(m)
I need your help with this question please explain why and show work.
Answer:
1
Step-by-step explanation:
y=2x+3, 2x represents the slope of the line and 3 represents the y-intercept
Pls help I need help with 12
Answer:
B. 14
Step-by-step explanation:
22/x = 11/(21-x)
462 - 22x = 11x
462 = 33x
x = 14
Answer: The value of x is 14, answer choice B
Let y be the other line segment connected to x
Using proportions:
[tex]\dfrac{11}{22}=\dfrac{y}{x}[/tex]
Cross multiply and simplify
[tex]22y=11x[/tex]
[tex]y=\dfrac{1}{2}x[/tex]
We know that x and y add to 21, so we can create the following equation:
[tex]x+y=21[/tex]
Substitute y=(1/2)x
[tex]x+\dfrac{1}{2}x=21[/tex]
Simplify by adding like terms
[tex]\dfrac{3}{2}x=21[/tex]
Divide both sides by 3/2
[tex]x=14[/tex]
Let me know if you need any clarifications, thanks!
Which inequality is equivalent to absolute value x-4 < 9
Answer:
–9 < x – 4 < 9
Step-by-step explanation:
Please answer this in two minutes
Answer:
tan(X) = 1.05
Step-by-step explanation:
The triangles WXY and VTU are similar using the case AA (angle-angle).
The angle X is equal the angle T, therefore they have the same tangent value.
The tangent value is given by the opposite side to the angle divided by the adjacent side to the angle, so we have that:
[tex]tan(T) = UV / UT[/tex]
[tex]tan(T) = 21 / 20 = 1.05[/tex]
[tex]tan(X) = tan(T) = 1.05[/tex]
Please help with this inequalities problem attached below.
Answer:
1) A. 5 + 2.75 * S ≤ 21
2) 5
Step-by-step explanation:
Well there is an initial price of $5 and $2.75 per stop, and she can only spend less than or equal to $21 we can make the following inequality,
5 + 2.75 * S ≤ 21,
Meaning, Q.1 is A
Now #2 is 5 stops because if we plug in 5 for s we get 18.75.
Thus, the most amount of stops she can afford is 5.
Hope this helps :)
How do I know that the following equation is true:
Answer:
Half angle Identity for cosine:
[tex]$\cos \left(\frac{\theta}{2} \right)=\pm \sqrt{\frac{1+\cos(\theta)}{2} } $[/tex]
[tex]\text{Note that it is} \pm \text{because we don't know which Quadrant the half-angle is, }[/tex][tex]\text{the information of}\cos(\theta) \text{is not enough to conclude the angle}[/tex]
[tex]$\frac{\pi}{8} \text{ is a Quadrant I angle, therefore, positive}$[/tex]
[tex]$\cos \left(\frac{\pi}{8} \right)=\sqrt{\frac{1+\cos(\frac{\pi}{4} )}{2} } $[/tex]
The equation is true.
a supermarket sells 4 brands of detergents a,b,c and d on a particular day 15% of the total boxes sold was brand a and 45% was brand c.Find the ratio of number of boxes of brand a sold to the number of boxes sold. Give your answser in a fraction Search Results Web results
Answer:
The ratio of number of boxes of brand a sold to the number of boxes sold is 3/20
Step-by-step explanation:
A supermarket sells 4 brands of detergents a, b, c, d.
On this particular day, 15% of the total boxes sold was brand a and 45% was brand c.
ratio of number of boxes of brand a sold to the number of boxes sold = ?
15% of the boxes sold is box a
Total number of boxes sold is 100%,
therefore,
ratio of box a sold to the whole boxes sold will be
15/100 = 3/20 in fraction
what does the variable k represent in the following equation : k/2 +1/2=3