Answer: Taxi driver has at most $10 to spend on the cab ride, he can travel at most 12.7 miles.
Step-by-step explanation:
A Taxi driver charges a flat rate = 7.25 dollars
taxi fare for 1 mile = 0.65 dollars
Suppose we consider Total money taxi driver can spend = 10 dollars
Let taxi driver travel x miles
Total charges = flat rate charge + taxi fare for each mile(distance) travelled
Find the value y = [?] + [?]x
suppose these two question marks indicate z1,z2
replace with y=10 and z1=1.75 and z2=0.65 values
Then y = [z1] + [z2]x
10 = 1.75 + 0.65(x)
0.65(x) = 10 - 1.75
0.65(x)= 8.25
x = 8.25/0.65
x = 12.7 miles
If Taxi driver has at most $10 to spend on the cab ride, he can travel at most 12.7 miles.
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here are points A and B Plot the points for each dilation described
Answer:
No one can answer this
Step-by-step explanation:
You need to add a picture or something because we need more information. This could be a graph, a number line, etc.
Answer:
(Image 1)
d(A,C)=10d(C,B)=8
d(A,B)=d(A,C)+d(C,B)=10+8=18
(Image 2)
AB=AC−BC
=10−8=2
Step-by-step explanation:
a light is suspended at a height h above the floor. the illumination, i, at a point p is inversely proportional to the square of the distance, r, from the point p to the light and directly proportional to the cosine of the angle theta. assume k is the constant of proportionality. which of the following can be used to represent the illumination at point p? i
The light must be at a height of 7.07m from the floor for the maximum illumination at P.
How Distance is that?
Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.Let I be the illumination at P then according to given conditions,
I = k cosθ/r²
Where k is constant of proportionality: since
r² = h² + 10²
cosθ = [tex]\frac{h}{\sqrt{h^{2} + 10^{2} } }[/tex]
then
I = k [tex]\frac{h}{( h^{2} + 100)^{3/2} }[/tex]
on differentiating
[tex]\frac{dI}{dh} = k \frac{h^{2} + 100)^{3/2} - 3h^{2 ( h^{2} + 100)^{1/2} } }{( h^{2} + 100)^{3} }[/tex]
[tex]= k \frac{( 100 - 2h^{2}) }{( h^{2} + 100)^{5/2} }[/tex]
[tex]\frac{dI}{dh} = 0[/tex]
gives
that is
h = √50 = 7.07
now
[tex]\frac{d^{2I} }{dh^{2} } = k \frac{( 6h^{3} - 900h }{( h^{2} +100)^{7/2} }[/tex]
for h = 7.07
[tex]\frac{d^{2}I }{dh^{2} } = - 10267.6[/tex]
then by second derivative test,I has a maximum ath=7.07
Hence the light must be at a height of 7.07m from the floor for the maximum illumination at P.
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a pizza parlor can make 100 pizzas in an evening. they make 40 pepperoni pizzas and 60 extra cheese pizzas. they are producing each pizza at the lowest possible cost. 100 people order pizza, but 50 people would like a pepperoni pizza and 50 would like an extra cheese pizza. this pizza parlor is what?
The pizza parlor is technically efficient, but its not allocatively or economically efficient because technically efficient if all supply is used, allocate is if desired demand is met.
What is meant by technically efficient?Technical efficiency is related to how productive a company can be given this same fewest inputs, as well as resources, required to complete a task.
An input would be any quantifiable resource required to produce an output, or product. Labor, materials, and equipment are all examples of inputs. Outputting cakes, for example, necessitates at least the mentioned inputs: bakers, ingredients, and ovens.What is meant by economically efficient?The concept of economic efficiency is related but distinct. Technical efficiency seeks to minimize inputs, whereas economic efficiency seeks to minimize costs, that might or might not necessitate fewer inputs.
In other words, the company wants to cut costs as much as possible even while meeting production targets. For instance, the bakery would perhaps purchase cheaper materials to lower costs without lower productivity.To know more about technical efficiency and economic efficiency, here
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The complete question is;
A pizza parlor can make 100 pizzas in an evening. They make 40 pepperoni pizzas and 60 extra cheese pizzas. 100 people order pizza, but 50 people would like a pepperoni pizza and 50 would like an extra cheese pizza. This pizza parlor is what?
Technically efficient
allocatively efficient
economically efficient
Arianys wants to ride her bicyle 55.5 miles this week. she has already ridden 19 miles. if she rides 5 more days, which equation could be used to determine, m, the average number of miles she would have to ride to meet her goal?
Answer:4.6 miles for 5 days
Step-by-step explanation:
37 - 14 = 23
23 divided by 5 = 4.6
Answer:4.6 miles
Step-by-step explanation: she has already ridden 14 miles so 5 mroe days is 4.6 miles
The cost to reserve a banquet hall is $500. The catering cost per guest is $17.50 for the first 40 guests and $14.75 for each additional guest.
a. Write a piecewise function describing the cost C
of the reunion.
b. Use a graphing calculator to graph the function
The piecewise function describing the cost C of the reunion are C(x) = 500 + 17.5x, where x <= 40 and C(x) = 1200 + 14.75(x - 40), where x > 40
Write a piecewise function describing the cost C of the reunion.The given parameters are:
Reserve = $500
Cost per guest = $17.50 for the first 40 guests
Cost per guest = $14.75 for each additional guest
The above means that
C(x) = 500 + 17.5x, where x <= 40
C(x) = 500 + 17.5 * 40 + 14.75(x - 40), where x > 40
Next, we evaluate the functions
This gives
C(x) = 500 + 17.5x, where x <= 40
C(x) = 1200 + 14.75(x - 40), where x > 40
Use a graphing calculator to graph the functionTo do this, we simply plot each function with its domain
See attachment for the graph of the piecewise functions
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On a coordinate plane, a parabola with equation f (x) = squared minus 4 x + 2 opens up. It goes through (0, 2), has a vertex at (2, negative 2), and goes through (4, 2).
Consider the function shown. How can you restrict the domain so that f(x) has an inverse? What is the equation of the inverse function?
x > –2; f Superscript negative 1 Baseline (x) = 2 minus StartRoot x + 4 EndRoot
x > –2; f Superscript negative 1 Baseline (x) = 2 + StartRoot x + 2 EndRoot
x > 2; f Superscript negative 1 Baseline (x) = 2 minus StartRoot x + 4 EndRoot
x > 2; f Superscript negative 1 Baseline (x) = 2 + StartRoot x + 2 EndRoot
The domain at which the function f(x) = x² - 4•x + 2, and the inverse of the function, f(x), is given by the option;
x > 2; [tex] f^{-1}(x) = 2 + \sqrt{x + 2} [/tex]How can the inverse function and the domain of the inverse function be found?The given function is f(x) = x² - 4•x + 2.
The points through which the parabola passes are;
(0, 2)(2, -2), which is the vertex(4, 2)The inverse of the function is found as follows;
f(x) = x² - 4•x + 2
The standard form of a quadratic equation is f(x) = a•(x - h)² + k
Where;
(h, k) = The coordinates of the vertex
a = The coefficient of x²
Comparing, we have;
(h, k) = (2, -2)
a = 1
Which gives;
f(x) = x² - 4•x + 2 = (x - 2)² - 2
f(x) = (x - 2)² - 2
Let f(x) = y
y = (x - 2)² - 2
y + 2 = (x - 2)²
x - 2 = √(y + 2)
x = √(y + 2) + 2 = 2 + √(y + 2)
x = 2 + √(y + 2)
Therefore, f(x) has an inverse when y > -2, which gives;
The domain where f(x) has an inverse is x > 2, given that the expression, 2 + √(y + 2), is always positive.
The inverse of the function is obtained by changing x to [tex] f^{-1}(x) [/tex] and y to x in the equation, x = 2 + √(y + 2), to give;
[tex] f^{-1}(x) = \mathbf{2 + \sqrt{x + 2}} [/tex]The correct option is therefore;
x > 2, f superscript negative 1 Baseline (x) = 2 + StartRoot x + 2 EndRoot
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Answer:
Its D.x > 2; f Superscript negative 1 Baseline (x) = 2 + StartRoot x + 2 EndRoot
Step-by-step explanation:
If i have 608 employees and the total salary is $39,086,197.48; what is the average salary of employees?
Answer:
$64,286.51
Step-by-step explanation:
This is the arithmetic mean, and is calculated by adding a group of numbers and then dividing by the count of those numbers. In this case, you have the total number of employees and the total salary.
39,086,197.48 ÷ 608 = 64286.5090132
You would then round up.
Given an Algebraic Expression: 8x³y - 11x²y² + xy³ +17.
1.1. What is the name of the algebraic expression?
Answer: The name of the algebraic expression is polynomial.
Step-by-step explanation: An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations .
A binomial expression is an algebraic expression which is having two terms, which are unlike. Examples of binomial include 5xy + 8.
similarly;
algebraic expression which is having only one term is known as a monomial. example: 5x,10y.
an expression with more than one term with non-negative integral exponents of a variable is known as a polynomial.
example: 8x³y - 11x²y² + xy³ +17.
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Answer:
Step-by-step explanation: algebric expression of degree4.
T / 23 equals -9 solve for t
Answer:
-207
Step-by-step explanation:
t/23 = -9
Multiply both sides by 23 to cancel out the denominator.
23 * (t/23) = (-9) * 23
t = -207
Square root of 750 ..?
Answer: 27.3861278753
Step-by-step explanation:
√750 = 27.3861278753
A rectangular box with a square base has a total surface area of 100cm^2. if x is the length of a side of the base, what is the volume of the box in terms if x?
The volume of the box in terms of x will be : [tex]\frac{50x-x^{3} }{2} cm^{3}[/tex]
We know, Total surface area of a cuboid is: 2(l*b + b*h + h*l)
and it is given that TSA is 100cm^2, the length of the base which is in a square shape is x. So, length l = breadth b = x, and taking height h = y
We need to find out the value of y for finding out the volume of the box.
Putting these values in the formula for TSA,
=> 2(x*x + x*y + x*y) = 100
=> 2(x^2 + 2xy) = 100 => y = (50-x^2)/2x
Put this value of y in the formula for volume.
The volume of Cuboid is : l*b*h
=> x*x*{(50-x^2)/2} => x^2{(50-x^2)/2x}
=> (50x - x^3)/2
Hence, the volume for the box is [tex]\frac{50x-x^{3} }{2} cm^{3}[/tex]
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-1. 64 as a mixed number in simplest form
Answer:
Step-by-step explanation:
Someone please help me
Answer:
Please see the picture below. You were on the right track. You were just off in letter A.
Step-by-step explanation:
a 65g book is 15cm x 5cm x 3c. Find the density
PLEASE HELP
Answer:
Density=13g/45cm cubed
Step-by-step explanation:
D=M/V
D=65g/225cmcubed
D=13g/45cm cubed
|−5| − (−9) I need help asap!!!
Answer:
14
Step-by-step explanation:
the absolute value function always gives a positive result , that is
| - a | = | a | = a
- (- ) = + given
| - 5 | - (- 9)
= 5 + 9
= 14
Answer:
14
Step-by-step explanation:
Be extremely careful with absolute values, parentheses, and subtraction.
[tex]\left|-5\right|-\left(-9\right)=\left|-5\right|+9\\\left|-5\right|+9\\\left|-5\right|=5\\5+9\\=14[/tex]
what is an equation of the line shown on the graph in the point-slope form, using the point(1,-1)
If f(x) = 4x20, what is f(4)?
Answer:
320
Step-by-step explanation:
Plug the 4 into x and go from left to right:
4 times 4 is 16 times 20 is 320
The pearson correlation is calculated for a sample of n = 25 individuals. what value of df should be used to determine whether or not the correlation is significant?
The correlation is a significant non-zero value.
The number of samples is n.
n = 25
The correlation of the coefficient is r.
r = -0.40
When correlation is significant,
[tex]H _{0} : p = 0[/tex]
When correlation is non-zero,
[tex]H _{ \alpha } : p ≠0[/tex]
The test statistic is,
[tex]TS = \frac{r \times \sqrt{n - 2} }{ \sqrt{1 - r {}^{2} } } [/tex]
[tex] = \frac{0.4 \times \sqrt{25 - 2} }{ \sqrt{1 - ( - 0.4) ^{2} } } [/tex]
[tex] = \frac{ - 1.918 }{ \sqrt{0.84} } [/tex]
= -2.093
The test statistic is -2.093.
The correlation is,
[tex]H _{ \alpha } : - 2.93 ≠0[/tex]
The correlation is not equal to zero and is significant.
Therefore, the correlation is a significant non-zero value.
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13
Write the time.
-9
11 12
10
8
76
1
2
Answer:
5:45
...................................
Answer:
the time is 5:45 PM according to that watch
A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 1700 seats. The students filled 442 of the seats in the theater. What percentage of the seats in the theater were filled by the 6th graders on the trip?
Answer:
26%
Step-by-step explanation:
Number of seats by 6th graders / Number of seats in total × 100% = Percentage of seats by 6th graders
442/1700 × 100% = 26%
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1. What is the slope of the line that passes through the given points? (1
(2, 12) and (6, 11)
0-11
4
4
04
04
Answer:
Step-by-step explanation:
The slope of the line that passes through the given points (2, 12) and (6, 11) is -1/4.
Write an equation of the line satisfying the given conditions. the line passes through (25,24)(25,24) and is perpendicular to y=6y=6.
The equation of the line is x = 25, in accordance with the given conditions.
What is the equation of a line?It is a first-order equation with the variables x and y. The coordinates of the point on the line shown in the coordinate plane are represented by the values of x and y.Given:
Line passes through (25,24)Line is perpendicular to y =6.To find: Equation of the line.
Finding:
Let the equation of the line be: (y - y') = m (x - x'),
where, (x',y') = point through which the line passes and m = slope of the line.
Since the given line is perpendicular to y = 6; the slope of this line = 0.The slope of the first line = [tex]\frac{1}{0}[/tex] , i.e., the y-intercept of this line does not exist and it is a vertical line.
Hence, the equation of the line is 0 = 1 (x - x')
Since the line passes through (25,24), x' = 25Thus, the equation of the line => 0 = 1 (x - 25)
=> x = 25.
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Identify a counterexample for the following statement:
"If a number is a perfect square, then it can't end with a 1."
Answer:
81
Step-by-step explanation:
81 is a perfect square, and also ends with 1.
6/7 x 2 2/14 please answer my question and tell me how to get the answer
Answer:
90/49
Step-by-step explanation:
you want to convert 2 2/14 into 30/14 (2 x 14 is 28, 28 + 2=30)
reduce 30/14 into 15/7 by dividing by 2
multiply 6 x 15 and 7 x 7
90/49 is the answer and you cannot reduce it so that's the answer
someone please help me with this! i am very confused so explain too :) thank you
Answer: 14/15
Step-by-step explanation:
[tex]9x=10x-x[/tex]
Divide both parts of the equation by 9:
[tex]\displaystyle\\x=\frac{10x-x}{9}\\\\x=0,9333333...\\\\Hence,\\\\x=\frac{10*0,933333...-0,9333333...}{9} \\\\x=\frac{9,333333...-0,933333...}{9} \\\\x=\frac{8,4}{9} \\\\x=\frac{8,4*10}{9*10} \\\\ x=\frac{84}{90}\\\\x=\frac{14*6}{15*6} \\\\ x=\frac{14}{15}[/tex]
i dont now this so can someone help me pls
Answer:
Step-by-step explanation: i bet your ray r stands for g
Gabriel finds some dimes and quarters in his change purse. How many coins does he have if he has 11 dimes and 8 quarters? How many coins does he have if he has dd dimes and qq quarters?
Answer:
8 quarters equal 2 dollars 11 dimes is a dollar and 10 cents so 3 dollars and 10 cents
Step-by-step explanation:
100(mod5) simplify it
Answer:
0
Step-by-step explanation:
The equation for line c can be written as y= – 3/7x+4. Perpendicular to line c is line d, which passes through the point (2,4). What is the equation of line d?
Answer: [tex]\text{y} = \frac{7}{3}\text{x}-\frac{2}{3}[/tex]
This is the same as writing y = (7/3)x - 2/3
=======================================================
Explanation:
The given equation is in y = mx+b form
m = -3/7 = slope
b = 4 = y intercept
Flip the fraction for the slope to get -7/3, and flip the sign from negative to positive to get 7/3
The original slope is -3/7 and the perpendicular slope is 7/3. These two slopes multiply to -1.
We want the perpendicular line to go through [tex](\text{x}_1,\text{y}_1) = (2,4)\\\\[/tex]
We'll use the point-slope form to get...
[tex]\text{y} - \text{y}_1 = \text{m}(\text{x}-\text{x}_1)\\\\\text{y} - 4 = \frac{7}{3}(\text{x}-2)\\\\\text{y} - 4 = \frac{7}{3}\text{x}+\frac{7}{3}(-2)\\\\\text{y} - 4 = \frac{7}{3}\text{x}-\frac{14}{3}\\\\\text{y} = \frac{7}{3}\text{x}-\frac{14}{3}+ 4 \\\\\text{y} = \frac{7}{3}\text{x}-\frac{14}{3}+ \frac{12}{3} \\\\\text{y} = \frac{7}{3}\text{x}+\frac{-14+12}{3} \\\\\text{y} = \frac{7}{3}\text{x}-\frac{2}{3} \\\\[/tex]
This equation has a slope of 7/3 and y intercept of -2/3.
Write two ratio that are equivalent to 4:5
Answer:
8:10, 12:15
Step-by-step explanation: