Hello There!
Economic utility is the amount of satisfaction a consumer receives from the consumption of a particular product or service.
Answer:
The capacity of a good or service to meet the demand of a consumer. The amount of economic utility of a good or service determines what the demand will be for that good or service, which impacts the price that people will be willing to pay to obtain it
Step-by-step explanation:------------------------------------------)-
PLEASE HELP QUICK Graph the line for y+2=32(x+4) on the coordinate plane. does anyone know the cordinates will mark brainliest.
Answer: Graph (-4, -2) and (-2, 1)
Step-by-step explanation:
[tex]\text{The given equation is: }y+2=\dfrac{3}{2}(x+4)\\\\\text{which is of the form: }y-y_1=m(x-x_1)\\\implies(x_1, y_1)=(-4, -2)\quad and \quad m=\dfrac{3}{2}\implies (x+2, y+3)\\\\.\qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad (-4+2, -2+3)=(-2, 1)[/tex]
So, two possible points are (-4, -2) and (-2, 1).
Plot those two coordinates and draw a line through them.
Answer:
Got it right on the test, here is the answer.
Step-by-step explanation:
The number of miles driven varies directly as the number of hours driven. After
8
hours,
456
miles were driven.
How long, in hours, does it take to drive
627
miles? Do not include units in your answer.
Answer: 11
Step-by-step explanation:
You can set up a ratio.
8/456 = x/627
Cross multiply and divide
8 • 627 = 5016
5016 / 456 = 11
Final answer:
It takes 11 hours to drive 627 miles when the rate is 57 miles per hour, which is derived from the given information that 456 miles are driven in 8 hours.
Explanation:
To determine the travel time for 627 miles when we know that 456 miles were driven in 8 hours, we can use the concept of direct variation. With direct variation, if two variables vary directly, as one increases, the other also increases by a constant multiplier known as the constant of variation (k). In this case, the distance traveled varies directly with the time spent driving.
First, we need to determine the rate of driving based on the information provided:
Distance (d) = 456 milesTime (t) = 8 hoursRate (r) = d/t = 456 miles / 8 hours = 57 miles/hourNow we can use the rate to calculate the time required to drive 627 miles:
Distance (d) = 627 milesRate (r) = 57 miles/hourTime (t) = d/r = 627 miles / 57 miles/hour = 11 hoursIt would take 11 hours to drive 627 miles at that rate.
Which point on the x-axis lies on the line that passes
through point C and is parallel to lino AB?
Answer:
(2,0)
Step-by-step explanation:
For given line AB:
y-intercept = b = -2
slope = m = y₂-y₁/x₂-x₁
= -3/2-(-4) = -3/6 = -1/2
Equation of line AB:
y = (-1/2)x - 2
Finding equation of line that is parallel to line AB and passes through the point C(2,2):
Substituting the slope from line AB into the equation of the line
y = (-1/2)x + b.
Substituting the given point (-2,2) into the x and y values 2 = (-1/2)-2 + b.
Solving for b (the y-intercept) , we get b = 1
Substitute this value for 'b' in the slope intercept form equation y = (-1/2)x + 1.
For x-intercept of the line, we let y = 0
0 = (-1/2)x + 1
x = -1(-2/1)
x = +2
So, the point on the x-axis that lies on the line that passes
through point C and is parallel to line AB is (2,0).
Is every rectangle is a parallelogram?
True
False
Answer:
True
Step-by-step explanation:
Every rectangle is a parallelogram.
Line CD passes through points C(1, 3) and D(4, –3). If the equation of the line is written in slope-intercept form, y = mx + b, what is the value of b?
–5
–2
1
5
Answer:
5
Step-by-step explanation:
First we need to find the slope
m = (y2-y1)/ (x2-x1)
= (-3-3)/(4-1)
=-6/3
= -2
Then we can use point slope form to make the equation
y-y1 = m(x-x1)
y-3 = -2(x-1)
Distribute
y-3 = -2x+2
Add 3 to each side
y-3+3 = -2x+2+3
y = -2x+5
Since this is in slope intercept form, y = mx +b, the y intercept is 5
Answer: D. 5
Step-by-step explanation: First we need to find the slope
m = (y2-y1)/ (x2-x1)
= (-3-3)/(4-1)
=-6/3
= -2
Then we can use point slope form to make the equation
y-y1 = m(x-x1)
y-3 = -2(x-1)
Distribute
y-3 = -2x+2
Add 3 to each side
y-3+3 = -2x+2+3
y = -2x+5
Since this is in slope intercept form, y = mx +b, the y intercept is 5
Assume that a population of newly discovered small creatures called “porgs” in a remote island lays eggs with three distinct appearances: patterned with dots, white, or dark grey. Last year, the porgs laid 30 dotted eggs, 40 grey eggs, and 15 white eggs. You randomly selected 25 eggs, 10 of which were dotted, 13 were grey and 2 were white. Based on this information, what is the probability that you would only collect 2 white eggs?
you have a 1/12.5 chance of getting a white egg. so the theoretical possibility of getting only two white eggs is 1/156.25. so it is very unlikely to get two white eggs
Answer:
0.029
Step-by-step explanation:
Last year, the porgs laid 30 dotted eggs, 40 grey eggs, and 15 white eggs.
Total eggs = 30+40+15 = 85 eggs
White eggs = 15
So, probability of getting 1 white egg = [tex]\frac{\text{No. of white eggs}}{\text{Total no. of eggs}}[/tex]
= [tex]\frac{15}{85}[/tex]
Remaining white eggs = 14
Total eggs remaining = 84
Probability of getting 1 white egg on second draw = [tex]\frac{14}{84}[/tex]
So, the probability that you would only collect 2 white eggs =[tex]\frac{15}{85} \times \frac{14}{84}[/tex]
=0.029
Hence the probability that you would only collect 2 white eggs is 0.029.
Find the value of Q in the following system so that the solution to the system
is {(x,y) : x – 3y = 4} x - 3y=4
2x + Qy=8
Answer:
Q = -6Step-by-step explanation:
If the solution of the system of equations is {(x, y): x - y = 4} - infinitely many solutions, then this system is consistent and dependent.
x - 3y = 4 multiply both sides by 2
2x - 6y = 8
Therefore Q = -6
Which expression is equivalent to 6x+8?
okay l gonna give you stright answer it B okay
What is the domain for the function f(x) = 2^x-5.
Answer:
X= All real Numbers
Step-by-step explanation:
Answer:
All real numbers
Step-by-step explanation:
The domain is the set of x values that we can plug into the function and it will have a y value.
The domain is the "allowed" x values of a function.
Exponential functions of the form [tex]y=a^x[/tex], where a is a constant have domain of "all real numbers".
The function in this problem is of this form with a "-5" at the end, which shifts the function vertically 5 units down. This doesn't affect x values (or domain)
Hence, the domain is the set of all real numbers.
The parent function f(x)=x3 and a translation, g(x), are shown on the graph. Which represents g(x), then the translated function?
ANSWER
The correct answer is A
EXPLANATION
The parent function is
[tex]f(x) = {x}^{3} [/tex]
The function g(x) is obtained by shifting the graph of the parent function, 4 units left and 6 units up.
Therefore the transformation is of the form:
[tex]g(x) = f(x + 4) + 6[/tex]
Hence the transformed function has equation:
[tex]g(x) = {(x + 4)}^{3} + 6[/tex]
The correct answer is A
The resulting function g(x) after the translation will be g(x) = (x+4)³ + 6
Translation of functionsTranslation is a way of changing the position of an object on an xy plane. According to the graph shown, the parent function of the graph is f(x) = x^3.
The translates function shows an upward translation by 4 units and horizontal translation to the left by 6 units. The resulting function g(x) after the translation will be g(x) = (x+4)³ + 6
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The snack bar at the school purchases water bottles at wholesale and then marks them up to make a profit. It marks up the water bottles by 33 percent, an amount of $0.28. Percents Total 33% 33% 33% 100% $0.28 $0.28 $0.28 What was the wholesale price of each water bottle? $0.56 $0.84 $0.93 $1.12
PLS HELP QUICK IM TIMED!!!!
Answer:
Say that the price at the whole for a bottle is some x
We know that the Snack Bar sold them at 33% profit which is in dollars $0.28
i.e 33% x=0.28
so now its a matter of finding what x is
writing this in algebraic form
0.33x=0.28
divide both sides of the equation by 0.33
0.33x/0.33=0.28/0.33
Therefore x=0.85 roughly
so the price per bottle at the whole sell is 85 cent
the snack bar is selling it for 1.13 dollars
assuming no tax applied
Step-by-step explanation:
Answer:
0.84 (B)
Step-by-step explanation:
Solve 3x − 8 = 8 for x using the change of base formula log base b of y equals log y over log b.
Answer:
3^x-8=8 then x=log_3(16)
3^(x-8)=8 then log_3(8)+8
Step-by-step explanation:
So if it is 3^x-8=8
then 3^x=16
and then convert to logarithmic form you write it as log_3(16)=x
_3 means the subscript (the base) is 3
So if it is 3^(x-8)=8
then the log form is log_3(8)=x-8
add 8 on both sides log_3(8)+8=x
The value of x that satisfies the given equation is 9.8929
Logarithmic equationFrom the question, we are to solve [tex]3^{x-8} =8[/tex] for x, using the change of base formula [tex]\log _{b} y = \frac{log _{} y}{log _{} b}[/tex]
From the given equation,
[tex]3^{x-8} =8[/tex]
Take [tex]log_3[/tex] of both sides,
That is,
[tex]\log _{3} 3^{x-8} = \log _{3} 8[/tex]
This becomes,
[tex](x-8)\log _{3} 3= \log _{3} 8[/tex]
Since [tex]\log _{x} x =1[/tex],
∴ [tex]\log _{3} 3 =1[/tex]
[tex](x-8)(1)= \log _{3} 8[/tex]
[tex]x-8= \log _{3} 8[/tex]
Using the change of base formula [tex]\log _{b} y = \frac{log _{} y}{log _{} b}[/tex]
[tex]\log _{3} 8=\frac{\log 8}{\log 3}[/tex]
Then,
[tex]x-8=\frac{\log 8}{\log 3}[/tex]
[tex]x-8=\frac{0.9031}{0.4771}[/tex]
x - 8 = 1.8929
x = 8 + 1.8929
x = 9.8929
Hence, the value of x that satisfies the given equation is 9.8929
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What is the way to solve this one? Please explain how you got your answer.
Answer:
[tex]\frac{5x-12}{x-1}[/tex]
Step-by-step explanation:
[tex]\frac{8x-5}{x-1}[/tex]-[tex]\frac{3x+7}{x-1}[/tex]
= [tex]\frac{8x-5-3x-7}{x-1}[/tex]
= [tex]\frac{5x-12}{x-1}[/tex]
a boat is 60% full with 48. What is the maximum carrying capacity?
Answer:
80
Step-by-step explanation:
60%=48
10%=8
8*10=80
Answer:80
Step-by-step explanation:
60/100*x=48
60/100=3/5 so,
3/5*x=48
3x=48*5
x=240/3
x=80
therefore the maximum capacity is 80 people
HEEEELLLLLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP ME
Answer:
41.79%
Step-by-step explanation:
To be on the swim team, we look at the right most (total) number int he table of "on the swim team" row. That is 28.
The grand total is the bottom-rightmost. That is 67.
Hence, probability of being on swim team is 28/67 = 41.79%
choose the correct simplification of the expression (8x^2)^3.
A 24x^6
B 512x^6
C 512x^5
D 24x^5
Answer:
The correct answer option is B. [tex] 5 1 2 x ^ 6 [/tex].
Step-by-step explanation:
We are given the following expression and we are to choose its correct simplification from the given answer options:
[tex] ( 8 x ^ 2 ) ^ 3 [/tex]
Applying the power to the terms inside the bracket to get:
[tex]8^3 \times x^{2.3[/tex]
Solving it further by applying the power property of exponent to get:
[tex] 5 1 2 x ^ 6 [/tex]
When 60% of a number is added to the number, the result is 192
Answer:
the number (x) is 120.
Explanation:
100% + 60% = 160% = 1.6
(just multiply it by 1.6 because it is equal to 60%)
The equation for the problem can be expressed as x + 0.6x = 192. To solve for x, you simplify the equation and isolate x, resulting in the answer of 120.
Explanation:This problem is a simple algebraic problem in which we're trying to find a number that satisfies a given condition. To solve this, we need to express the problem as an equation. Let's assume the number we're looking for is denoted as x. So, according to the problem, we have the following equation:
x + 0.60x = 192
The steps to solve this equation are as follows:
Combine like terms: 1x + 0.60x = 1.60xTo isolate x, divide both sides of the equation by 1.60: x = 192 / 1.60Doing the division on the right side, we find x = 120, which is our number.
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Find the coordinates of the point where y-4x=1 crosses the y axis
Answer:
(0, 1)
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
y - 4x = 1 ( add 4x to both sides )
y = 4x + 1 ← in slope- intercept form
with y- intercept c = 1 ⇒ (0, 1) ← coordinates of y- intercept
The coordinates of the point where y-4x=1 crosses the y axis is (0, 1)
The following information should be considered:
The equation of a line in slope - intercept form is y = mx + c Here m is the slope and c the y- intercept.Now y - 4x = 1.So here we have to add 4x to the both sides. So, y = 4x + 1.Now the coordinates is (0,1)
Therefore we can conclude that The coordinates of the point where y-4x=1 crosses the y axis is (0, 1)
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Carla is cutting pieces of string that are exactly 24 3/8 in long how many pieces can she cut from a ball of string that is 100 ft
Answer:
4 1/8 pieces
Step-by-step explanation:
Since you are using a string that is 100 ft. long then and you need exactly 24 3/8 ft. sections, you would do these calculations:
3/8 = 0.375
100/24.375 = 4.1026
.1026 = 1/8
4 1/8 ft long pieces
Answer:
The string is cut into 4.1025 pieces.
Step-by-step explanation:
We are given the following information:
Length of the string = 100 feet
Length of one piece = [tex]24\displaystyle\frac{3}{8} = \displaystyle\frac{195}{8} ~feet[/tex]
Number of pieces =
Formula:
[tex]\text{Number of pieces} = \displaystyle\frac{\text{Length of string}}{\text{Length of one piece}}[/tex]
Number of pieces =
[tex]\displaystyle\frac{100}{\frac{195}{8} } = \displaystyle\frac{100\times 8}{195}\\\\=\displaystyle\frac{800}{195} = 4\displaystyle\frac{4}{39} = 4.1025[/tex]
Thus, the string is cut into 4.1025 pieces.
What is the slope of the line passing through (5, -6) and (4, 3)
Answer:
-9
Step-by-step explanation:
Answer:
slope = - 9
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (5, - 6) and (x₂, y₂ ) = (4, 3)
m = [tex]\frac{3+6}{4-5}[/tex] = [tex]\frac{9}{-1}[/tex] = - 9
Four students found the mean of the data set 26, 31, 39, 30, 16, 16, 18, 38. Which student found the correct mean?
Ashrita's work
26 +31 +39+30+ 16 + 16+ 18+ 38
26.75
Collette's work
26 +3864 - 32
Daniel's work
26+31+39 + 30+ 16+ 18+ 38
198 - 28.29
Lora's work
30+ 16 - 46 - 23
Answer:
Ashrita
Step-by-step explanation:
The mean of any set of data is found by finding the summation of all the values in the set of data then dividing it by the number of entries in the data.
Mean=Σfx/Σf
Σf=26+31+39+30+16+16+18+38= 214
Σf= 8= the number of entries.
Mean=214/8=26.75
Ashrita's work was correct.
Answer:
Ashrita
Step-by-step explanation:
When you are finding the mean of some numbers you are meant to add all the numbers then divide by the amount of numbers
Round 140.430 to the nearest whole number
Answer:
140
Step-by-step explanation:
if you are rounding you round if 5 or over go up and if 4 or lower go down
PLEASE ANSWER MY QUESTION I AM OFFERING 60 POINTS AND I REALLY NEED THE ANSWER
If you transform y = 2x^2 into y = 10x^2, which option below describes the effect of this transformation on the graph of the quadratic function along the y-axis?
A) The transformation stretches the graph by a factor of 5.
B) The transformation stretches the graph by a factor of 25.
C) The transformation shrinks the graph by a factor of 5.
D) The transformation shrinks the graph by a factor of 25.
Answer:
answer is a
Step-by-step explanation:
Which of the following is an example of a proper fraction?
a) 7/6
b) 4/4
c) 4/3
d) 3/4
A proper fraction must have a denominator that is greater then the numerator.
If the numerator is the same as the denominator is the same then it can be simplified to 1.
If the numerator is greater than the denominator then the fraction is improper.
This means that the answer must be D) 3/4
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
d
Step-by-step explanation:
A proper fraction is when the numerator is less than the denominator
example is 2/3, 100/200 etc.
A line intersects the point (3,-4)and has a slope of 17 .what is the slope - intercept equation for this line?
Answer:
The slope - intercept equation for this line is y = 17x - 55
Step-by-step explanation:
The general form of the slope-intercept form is
y = mx +b
where m is the slope and b is the y-intercept.
We are given slope m = 17
we need to find b the y-intercept.
To find y-intercept we would use point(3,-4) and formula
y = -4
x = 3
m = 17
b=?
y = mx + b
-4 = (17)(3) + b
-4 = 51 + b
b = -4 -51
b = -55
So, y-intercept is -55
The slope - intercept equation for this line is y = 17x - 55
Which equation represents a line that passes through (5, 1) and has a slope of 1/2?
y – 5 = 1/2(x –1)
y – 1/2 = 5(x –1)
y – 1 = 1/2(x –5)
y – 1 = 5(x-1/2)
Answer:
The correct answer is C
Step-by-step explanation:
If a straight line passes through [tex](x_1,y_1)[/tex] and has a slope of [tex]m[/tex] , its equation is;
[tex]y-y_1=m(x-x_1)[/tex]
In this case, we have [tex](x_1,y_1)=(5,1)[/tex] and [tex]m=\frac{1}{2}[/tex].
To find the required equation: you have to substitute [tex]x_1=5,y_1=1[/tex] and [tex]m=\frac{1}{2}[/tex] into the equation to obtain:
[tex]y-1=\frac{1}{2}(x-5)[/tex]
The correct answer is C
Which fraction is between 0 and 1/2
The Fraction that is between 0 and 1/2 is 2/10
The fraction 1/2 can also be written as 5/10. If you were to make a number line, you would be able to see that 2/10 is between. Here, let me order them from least to greatest:
< - 0 - - 2/10- - - 1/2- - 7/10- 3/4 - 8/10 - >
As you can see, 2/10 is between 0 and 1/2 (5/10).
Two rigid transformations are used to map JKL To MNQ-
The first is a translation of vertex L to vertex Q. What is the
second transformation?
a reflection across the line containing LK
a reflection across the line containing jk
a rotation about point l
a rotation about point k
Answer:
Step-by-step explanation: it’s c
Answer:
C. a rotation about point L
Step-by-step explanation:
4x-2y-x+5y-8
What is the coefficient of the x-term of the fully simplified expression ?
Suppose an investment of $1700 doubles in value every 10 years how much is investment worth after 20 years
Answer:
doubles every 10 years
20 years, so it has doubled 2 times
1700 times 4=6800
it is worth $6800