(1 point) The charge for a taxi ride in New York City is $2.50 for the first 1/4 of a mile, and then $0.30 for each additional 1/4 of a mile
(rounded up to the nearest 1/4 mile).
(a) Complete the table below for the cost of going x miles in the taxi. Do not include a dollar sign in your answer. If the answer is $1.50,
answer 1.50 or 1.5 (etc.).
5/4
3/2
7/4
2.
Miles,
1
0
1/4
3/4
1/2
Х
Cost,
С
(b) How much would it cost to go 1/5 of a mile? $
(c) How much would it cost to go 6/5 of a mile? $
(d) How far could you go for $5.80?
(include help (units) in your answer)
Answers
The cost of taxi calculated using the constraints given include :
\( \frac{1}{5} \: of \: a \: mile = 2.50\) \( \frac{6}{5} \: of \: a \: mile = 3.70\) $5.80 will cover a distance of 3 milesTaxi cost :
First \( \frac{1}{4} \: of a mile = 2.50 \)
Every additional \( \frac{1}{4} = 0.30 \)
Cost of \( \frac{1}{5} \: of a mile \)
0.2 miles < 0.25 miles ; hence, cost will equal the cost of first 0.25 miles = $2.5
\( \frac{6}{5} = 1 \frac{1}{5} = \frac{1}{4} + 3(\frac{1}{4}) + \frac{1}{5} :\ miles \)
\( \frac{1}{5} \: of \: a \: mile\) after the initial distance charged at $2.50 will cost $0.30
Cost of \( \frac{6}{5} \: miles \) = 2.50 + 3(0.30) + 0.30 = 3.70
5.80 = 2.50 + (0.3y) ; where, y = number of \( \frac{1}{4} \: miles \) after the initial
5.80 - 2.50 = 0.3y
3.30 = 0.3y
Divide both sides by 0.3
y = 3.30 ÷ 0.3 = 11
y = 11
Therefore, distance that can be traveled with $5.80 = \( \frac{1}{4} + 11(\frac{1}{4}) = 3 \: miles \)
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Related Questions
Situation:A 34 gram sample of a substance that's used to treat thyroid disorders has a k-value of 0.137.N= Noe-ktNo initial mass (at time t = 0)N = mass at time tk== a positive constant that depends on the substance itself and on the units used to measure timet = time, in daysFind the substance's half-life, in days.Round your answer to the nearest tenth.
Answers
Answer:
5.1 days
Explanation:
The half-life of a substance is the time it takes the substance to decay to half of its initial mass.
The function that models the decay of the substance is:
\(N=N_oe^{-kt}\)• The initial mass, No = 34 grams
,• Half of the initial mass, N = 34/2 = 17 grams
,• k=0.137
Substitute these values into the formula:
\(17=34e^{-0.137t}\)The equation is then solved for t:
\(\begin{gathered} \text{ Divide both sides by 34} \\ \frac{17}{34}=\frac{34e^{-0.137t}}{34} \\ e^{-0.137t}=0.5 \\ \text{ Take the }\ln\text{ of both sides} \\ \ln(e^{-0.137t})=\ln(0.5) \\ -0.137t=\ln(0.5) \\ \text{ Divide both sides by -0.137} \\ \frac{-0.137t}{-0.137}=\frac{\operatorname{\ln}(0.5)}{-0.137} \\ t=5.06 \\ t\approx5.1\text{ days} \end{gathered}\)The substance's half-life is 5.1 days (rounded to the nearest tenth).
graph the line passing through (−4,−1) whose slope is m=-4/5
Answers
Answer:
\(y=-\frac{4}{5}x-\frac{21}{5}\)
Step-by-step explanation:
The fastest way is to use point-slope form with \(m=-\frac{4}{5}\) and \((x_1,y_1)=(-4,-1)\):
\(y-y_1=m(x-x_1)\\y-(-1)=-\frac{4}{5}(x-(-4))\\y+1=-\frac{4}{5}(x+4)\\y+1=-\frac{4}{5}x-\frac{16}{5}\\y=-\frac{4}{5}x-\frac{21}{5}\)
To graph the line passing through (-4,-1) with slope m = -4/5, we can use the slope-intercept form of the equation of a line, which is:
y = mx + b
where m is the slope and b is the y-intercept.
Substituting m = -4/5, x = -4, and y = -1, we can solve for b:
-1 = (-4/5)(-4) + b
-1 = 3.2 + b
b = -4.2
Therefore, the equation of the line is:
y = (-4/5)x - 4.2
To graph the line, we can plot the given point (-4,-1) and then use the slope to find additional points. Since the slope is negative, the line will slope downwards from left to right. We can find the y-intercept by setting x = 0 in the equation:
y = (-4/5)x - 4.2
y = (-4/5)(0) - 4.2
y = -4.2
So the y-intercept is (0,-4.2).
Using this point and the given point (-4,-1), we can draw a straight line passing through both points.
Here is a rough sketch of the graph:
|
|
| *
| /
| /
| /
-----*--------
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The point (-4,-1) is marked with an asterisk (*), and the y-intercept (0,-4.2) is marked with a dash. The line passing through these two points is the graph of the equation y = (-4/5)x - 4.2.
what times 3 equals 3/10
Answers
Answer:
1/10
Step-by-step explanation:
Divide 3/10 by 3. Remember to "keep, flip, change".
3/10 ÷ 3/1
3/10 × 1/3
Multiply across: 3/10 × 1/3 = 3/30
Simplify: 3/30 = 1/10
Complete the table of values for h(x) = (f(x))(g(x)). x f(x) g(x) h(x) = (f(x))(g(x)) 1 5 1 2 10 1.41 3 15 1.73 4 20 2
Answers
The complete table of values:
x f(x) g(x) h(x)
1 5 1 5
2 10 1.41 14.1
3 15 1.73 25.95
4 20 2 40
How to complete the table of values for h(x)?The equation of the function is given as:
h(x) = f(x) * g(x)
Where the table of values is:
x f(x) g(x)
1 5 1
2 10 1.41
3 15 1.73
4 20 2
Using the formula:
h(x) = f(x) * g(x)
We have the following table of values:
x f(x) g(x) h(x)
1 5 1 5
2 10 1.41 14.1
3 15 1.73 25.95
4 20 2 40
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Answer: 5, 14.1, 29.95, 40
abc~def what sequence of transformation will move ABC onto def
Answers
Answer:
c
Step-by-step explanation:
Answer:
is C guys
Step-by-step explanation:
The function is defined by g(x) = Find g (z + 3). g (z + 3) = 0 3 + 2x 1 + X
Answers
Answer:
We are given the function g(x) = 3 + 2x/(1 + x). We need to find g(z + 3).
Replacing x with z + 3 in the function g(x), we get:
g(z + 3) = 3 + 2(z + 3)/(1 + (z + 3))
Simplifying this expression:
g(z + 3) = 3 + 2z + 6/(z + 4)
g(z + 3) = (2z + 9)/(z + 4)
Therefore, g(z + 3) = (2z + 9)/(z + 4).
Find g(x), where g(x) is the translation 2 units down of f(x)=x2.Write your answer in the form a(x–h)2+k, where a, h, and k are integers.
Answers
The function will be g(x ) = x² + 2
What is a function?A function is a special form of relation where each input has exactly one output. In other words, for each input value, the function returns exactly one value. A relation rather than a function is depicted in the above graph since one is mapped to two different values.
But, if one were instead mapped to a single value, the relationship described above would change into a function. Furthermore, output values could match input values exactly.
The function machine receives the x-values as input. After finishing its operations, the function machine produces the y-values. Any function may be the one within.
g(x) = x2 + 2
Now we need to but this in vertex form.
If you graph this equation, you will see that the vertex is (0,2). Plug this in to (h,k) in the equation. The value of a is just 1 because you didn't multiply by anything during the transformation.
So you get g(x) = (x-0)2 + 2 = x2 + 2
This ends up just being the same as the standard form of the equation
Hence, The function will be g(x ) = x² + 2
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Lauder Company had fixed costs of $282,500, variable costs of $645,000, and actual sales amounted to $1,100,000. If the company has a break-even point at $750,000 in sales revenue.a. determine the margin of safety expressed in dollars
b. determine the margin of safety expressed as a percentage of sales. Enter percentage amount as a whole number.
____%
c. Determine contribution margin ratio
_____%
d. Determine the operating income
$______
Answers
The Operating income is $172,500.
To calculate the margin of safety, contribution margin ratio, and operating income, we need to use the given information.
a. Margin of Safety:
Margin of Safety = Actual Sales - Break-even Sales
Given that the break-even point is at $750,000 in sales revenue and actual sales are $1,100,000, we can calculate the margin of safety:
Margin of Safety = $1,100,000 - $750,000 = $350,000
Therefore, the margin of safety is $350,000.
b. Margin of Safety as a Percentage of Sales:
Margin of Safety Percentage = (Margin of Safety / Actual Sales) * 100
Using the values from the previous calculations:
Margin of Safety Percentage = ($350,000 / $1,100,000) * 100 = 31.82%
Therefore, the margin of safety expressed as a percentage of sales is approximately 31.82%.
c. Contribution Margin Ratio:
Contribution Margin Ratio = (Contribution Margin / Sales) * 100
To calculate the contribution margin, we need to subtract variable costs from sales:
Contribution Margin = Sales - Variable Costs = $1,100,000 - $645,000 = $455,000
Using the values, we can calculate the contribution margin ratio:
Contribution Margin Ratio = ($455,000 / $1,100,000) * 100 = 41.36%
Therefore, the contribution margin ratio is approximately 41.36%.
d. Operating Income:
Operating Income = Sales - Variable Costs - Fixed Costs
Using the values provided:
Operating Income = $1,100,000 - $645,000 - $282,500 = $172,500
Therefore, the operating income is $172,500.
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600000000*100000000000000000000000000000000000000000000
Answers
Answer:
6e+52
Step-by-step explanation:
cAlCuLaToR
Answer:
6e+52
Step-by-step explanation:
multiply
What is the ratio as a fraction 9 and 6
Answers
Answer:
9/15 will become 3/5 and 6/15 will become 2/5.
Writing Inequalities Ouestion 22 A number increased by three is at most -7
Answers
Answer:
can you please specify the question i mean is this like
Step-by-step explanation:
let the no. be x
ATQ
3x-7
or
3x= -7
my bowl of easter candy has colorful foil-wrapped chocolate eggs. there are 5 gold, 7 blue, and 10 pink. when callie brooke raids the candy bowl, what is the probability that she reaches in without looking and gets a chocolate candy wrapped in pink foil? give your answer as a percent (including the percent sign) rounded to the nearest 0.01%.
Answers
If my bowl of easter candy has colorful foil-wrapped chocolate eggs. there are 5 gold, 7 blue, and 10 pink. The probability that she reaches in without looking and gets a chocolate candy wrapped in pink foil is 0.45.
How to find the probability?Total color = 5 gold + 7 blue + 10 pink
Total color = 22
Now let find the probability that she reaches in without looking and gets a chocolate candy wrapped in pink foil
Probability (pink) = 10/22
Probability (pink) = 0.45
Therefore the probability of Callie Brooke getting a pink foil-wrapped chocolate egg is 10/22, or approximately 0.45.
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Describe how the graph of g(x)= 3(5^X) is related to the graph of f(x) = 5^X
Answers are:
A. g(x) is shifted 3 units to the left
B. g(x) is horizontally stretched
C. g(x) is shifted 3 units to the right
D. g(x) is vertically stretched
Please explain why you choose the answer pleae
Answers
I hope this helps you :)
HELP PLEASE!!!! Find the exact values of sin A and cos A. Write fractions in lowest terms.
A) sin A = 3/5; cos A = 4/5
B) sin A = 5/4; cos A = 5/3
C) sin A = 4/5; cos A = 3/5
D) sin A = 4/3; cos A = 3/4
Answers
Answer: Im pretty sure its C dude have a wonderful day.
Step-by-step explanation:
Thor travels 49 miles per hour. How long does it take him to travel 294 miles? Your answer should be in Miles, accurate to at least the nearest tenth.
Answers
Answer: I think it's 6 hours. If you do 294 divided by 49 which will give you 6 which means you traveled 294 miles in 6 hours.
Hosting a dinner party for 38 people, you plan to serve peach pie for desert.
Each pie has 8 slices.
How many slices are in each pie?
Answers
Answer:
40 slices
Step-by-step explanation:
I rounded 38 to 40 and divided by 8
what is 1.30 in word form?
Answers
Answer:
one and thirty thousand seven hundred sixty-nine hundred-thousandths
Step-by-step explanation:
Answer:
one and thirty hundredths
Step-by-step explanation:
One would be 1, the and would stand for the decimal points, and thirty hundredths means the .30.
what is the value of x?
help would be so appreciated!
Answers
Answer:
x =23
Step-by-step explanation:
ok first, the full degree of a straight line is 180°
subtract 38° out of 180°
180-38= 142
so 6x+4= 142°
subtract 4 from both sides of the equation
6x +4 -4= 142-4
6x=138
divide 6 from 6x and 138
x=23
17 The table below shows the distance a car has traveled.
50
20
f
40
Minutes
Distance
Traveled
(in miles)
What is the meaning of the slope of the linear model for the data?
60
100
a) The car travels 5 miles every minute.
b) The car travels 4 miles every minute.
c) The car travels 4 miles every 5 minutes.
d) The car travels 5 miles every 4 minutes.
125
80
100
Answers
Given statement solution is :- None of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.
To determine the meaning of the slope of the linear model for the given data, let's analyze the information provided. The table represents the distance traveled by a car at different time intervals.
Minutes | Distance Traveled (in miles)
50 | 20
20 | f
40 | 60
100 | a
125 | 80
100 | 100
To find the slope of the linear model, we need to calculate the change in distance divided by the change in time. Let's consider the intervals where the time changes by a fixed amount:
Between 50 minutes and 20 minutes: The distance changes from 20 miles to 'f' miles. We don't have the exact value of 'f', so we can't calculate the slope for this interval.
Between 20 minutes and 40 minutes: The distance changes from 'f' miles to 60 miles. Again, without knowing the value of 'f', we can't calculate the slope for this interval.
Between 40 minutes and 100 minutes: The distance changes from 60 miles to 'a' miles. We don't have the exact value of 'a', so we can't calculate the slope for this interval.
Between 100 minutes and 125 minutes: The distance changes from 'a' miles to 80 miles. Since we still don't have the exact value of 'a', we can't calculate the slope for this interval.
Between 125 minutes and 100 minutes: The distance changes from 80 miles to 100 miles. The time interval is 25 minutes, and the distance change is 100 - 80 = 20 miles.
Therefore, based on the given data, we can conclude that the car travels 20 miles in 25 minutes. To determine the meaning of the slope, we divide the distance change by the time change:
Slope = Distance Change / Time Change
= 20 miles / 25 minutes
= 0.8 miles per minute
So, none of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.
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A ladder is leaning against a building. The distance from the bottom of the ladder to the building is 12 ft shorter than the length of the ladder. How high up the side of the building is the top of the ladder if that distance is 6 ft less than the length of the ladder? C The top of the ladder is ___ ft up the side of the building?
Answers
Answer:
The answer for this question is 2 ft
Step-by-step explanation:
12ft÷6ft=2
Which expression will have a positive value?
Responses
the product of a negative number and a positive number
the product of a negative number and a positive number
the sum of a negative number and a negative number
the sum of a negative number and a negative number
the quotient of a positive number and a negative number
the quotient of a positive number and a negative number
the quotient of a negative number and a negative number
Answers
Answer:negative
Step-by-step explanation: the product of a negative number and a positive number
Romina buys a bag of cookies that contains 8 chocolate chip cookies, 4 peanut butter cookies, 6 sugar cookies and 7 oatmeal cookies. What is the probability that Romina randomly selects an oatmeal cookie from the bag, eats it, then randomly selects a sugar cookie?
Answers
The probability that Romina randomly selects an oatmeal cookie from the bag, eats it, then randomly selects a sugar cookie is 7/100.
What is the probability?Probability determines the odds that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0. The more likely the event is to happen, the closer the probability value would be to 1.
The probability of picking an oatmeal cookie then a sugar cookie = (number of oatmeal cookies / total number of cookies) x (number of sugar cookies / total number of cookies -1)
Total number of cookies = 8 + 4 + 6 + 7 = 25
The probability of picking an oatmeal cookie then a sugar cookie = (7/25) x (6/24) = 7/100
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Bao walked 15 miles in 6 hours. What was her walking rate in miles per hour?
Group of answer choices
2.5 miles per hour
2 miles per hour
1 mile per hour
1.5 miles per hour
Answers
The solution is, 2.5 miles per hour was her walking rate in miles per hour.
We know that,
Speed is measured as distance moved over time.
The formula for speed is speed = distance ÷ time.
To work out what the units are for speed, you need to know the units for distance and time.
In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).
Speed = Distance/ Time.
Here, given that,
Bao walked 15 miles in 6 hours.
so, we get,
in 6 hours = 15 miles
so, in 1 hour = 15 / 6 miles
=2.5 miles
Hence, The solution is, 2.5 miles per hour was her walking rate in miles per hour.
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A study of the salaries of full professors at a small university shows that the median salary for female professors is considerably less than the median male salary. Further investigation shows that the median salaries for male and female full professors are about the same in every department (English, physics, etc.) of the university. Which phenomenon explains the reversal in this example?
Answers
Answer:
Simpson's paradox
Step-by-step explanation:
Since in the given situation it is mentioned that the median salary of the female professor would be less than the median salary of male. If there is any further investigation so we get to know that the salary of male & female professor is same in each and every department
So here the simpson paradox should be considered as if there is any change in weightage that lies between participation & success so we can get a contradictory view
Therefore the same would be considered
A function y = g(x) is graphed below. What is the solution to the equation g(x) = 3?
Answers
closed interval on x=3 and open at x=5
for all values between these numbers, y=3
so [3,5)
Choose the correct graph of the function y=√x+1.
Answers
Answer:
[A}
Step-by-step explanation:
Graph using the end point and a few selected points.
x y
0 1
1 2
2 2.41
Graph also below:
Find y intercept
\(\\ \rm\rightarrowtail y=\sqrt{x}+1\)
\(\\ \rm\rightarrowtail y=0+1=1\)
y intercept=(0,1)Option A
Find the area and perimeter of the parallelogram. (Hint: Don't forget your units!)
7 cm
8 cm
4 cm
Answers
The area and perimeter of the parallelogram are: 56 square units and 30 units respectively
What is a parallelogram?In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The parameters that will help us do the math are
base = 7
height = 8
Area = 8*7 = 56 square units
perimeter 2b + 2h
perimeter = 2*7 + 2*8
= 14 +16
P = 30 units
Therefore, the perimeter of the parallelogram and area are 30 units and 56 square units
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According to government data, the probability that an adult was never in a museum is 13%.
Answers
We need to find the mean and the standard deviation with the next information:
- 30 adults were surveyed
-The probability that an adult was never in a museum is 13%.
To find the mean:
30 adults *0.13 probability that an adult was never in a museum
= 3.9
Can someone help me please! I need to know if it’s A or B and what goes in the box if it’s A
Answers
Answer:
Step-by-step explanation:
It is A. If you look at the box, you can see that for every +2 x moves, f(x) -7. So the equation would be f(x)= -(7/2)x+2
Answer:
A
f(x)= -(7/2)x+2
What is the value of x4+0.5y3when x=2 and y=4?
Answers
Answer:
14
Step-by-step explanation: