) The borough of Pan Sherzando charges homeowners $75.24 per month plus $3.86 per 1000 litres for water usage in excess of 10,000 litres. In 2019 one homeowner's monthly bill ranged from $137.00 to $245.08. Find the range for the water used by that homeowner
Answers
Answer:
26,000 liters to 54,000 liters
Step-by-step explanation:
To obtain the lower end of the water used;
137.00-75.24=$61.76
So, $61.76/ $3.86=16
This represents 16,000 liters above the 10,000 already used since $3.86 is charged per 1000 litres for water usage in excess of 10,000 litres.
Therefore the lower end is 16,000 + 10,000 = 26,000 liters
.
For the higher end;
245.08-75.24=$169.84
$169.84
/$3.86=44, this means 44,000 extra liters more than the 10,000 litres already used.
Hence the higher end is 44,000 + 10,000 = 54,000 liters
Related Questions
what is an mam dhe qet 58 JOO
Answers
To solve the exercise, first, we are going to write in numerical form the equation shown in fraction models:
\(\begin{gathered} \frac{4}{10}+x=\frac{88}{100} \\ \text{ Because} \\ \frac{4}{10}\Rightarrow\text{ There are 4 shaded lines out of the 10 in total} \\ \frac{88}{100}\Rightarrow\text{ There are 88 shaded squares out of the 100 in total} \end{gathered}\)Now, you can solve the equation for x:
\(\begin{gathered} \frac{4}{10}+x=\frac{88}{100} \\ \text{ Subtract }\frac{4}{10}\text{ from both sides of the equation} \\ \frac{4}{10}+x-\frac{4}{10}=\frac{88}{100}-\frac{4}{10} \\ x=\frac{88}{100}-\frac{4}{10} \end{gathered}\)To subtract these fractions, you can amplify the fraction 4/10, that is, multiply by 10 in the numerator and denominator of the fraction:
\(\frac{4}{10}=\frac{4\cdot10}{10\cdot10}=\frac{40}{100}\)Now that both fractions have the same denominator, it is easier to subtract them, since it is enough to subtract their numerators. So, you have:
\(\begin{gathered} x=\frac{88}{100}-\frac{4}{10} \\ x=\frac{88}{100}-\frac{40}{100} \\ x=\frac{88-40}{100} \\ x=\frac{48}{100} \\ \end{gathered}\)Therefore, the fraction that makes the equation true is
\(\frac{48}{100}\)and the correct answer is option C.
What is the measure of circumscribed
O 45°
O 50°
O 90°
O 95°
Answers
The measure of the inscribed angle is equal to 90 degrees
What is an inscribed angleThe inscribed angle theorem mentions that the angle inscribed inside a circle is always half the measure of the central angle or the intercepted arc that shares the endpoints of the inscribed angle's sides. In a circle, the angle formed by two chords with the common endpoints of a circle is called an inscribed angle and the common endpoint is considered as the vertex of the angle.
In this problem, the side length of the square is 5 which forms 90 degrees to all the other sides.
The measure of the circumscribed angle is 90 degree
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Diego's high school soccer team started a fundraiser selling treats at their games. they spent $1000 to start and an additional $0.30 on each candy bar and can of soda. they decide to sell both the candy and the soda for the same price, to make things simple. choose a reasonable price for the team to sell the candy bars and sodas. in your discussion post, share the equations that you used to model this situation and answer the following questions (remember that profit is the revenue minus the costs): how much do they need to sell to break even (where revenue is equal to cost)? how much do they need to sell to make at least $5,000 in profit? do you think it is likely for them to make at least $5,000 in profit? in what situations would it be possible for them to make at least $5,000 in profit?
Answers
It is more likely for them to make at least $5,000 in profit if they sell a larger quantity of treats. This can be achieved by implementing effective marketing strategies, setting an appealing price, and targeting a wide audience.
Let's say the team decides to sell the candy bars and sodas for $1 each. In this case, they will make $1 in revenue for each candy bar and can of soda sold.
Now, let's calculate the costs. The team spent $1000 to start the fundraiser, which is a fixed cost that does not depend on the number of treats sold. In addition, they spend $0.30 on each candy bar and can of soda sold.
To break even, the revenue needs to equal the total cost. Let's denote the number of treats they need to sell to break even as "x". The revenue from selling x treats would be $1 multiplied by x. The total cost would be the sum of the fixed cost and the cost per treat multiplied by the number of treats sold.
Equation to break even: Revenue = Cost
1x = $1000 + $0.30x
To solve for x, we can subtract $0.30x from both sides and then divide both sides by 0.70:
0.70x = $1000
x = $1000 / 0.70
x ≈ 1428.57
So, they need to sell approximately 1429 treats to break even.
To make at least $5,000 in profit, we need to calculate the revenue required to cover the costs and generate the desired profit. Let's denote the number of treats they need to sell to make this profit as "y".
Equation to make at least $5,000 in profit: Revenue = Cost + Profit
1y = $1000 + $0.30y + $5000
Simplifying the equation:
0.70y = $6000
y = $6000 / 0.70
y ≈ 8571.43
So, they need to sell approximately 8572 treats to make at least $5,000 in profit.
Whether it is likely for them to make at least $5,000 in profit depends on various factors, such as the demand for treats, the number of people attending the games, and the team's marketing efforts. If they can attract a large number of customers and successfully sell the treats, it is possible for them to make at least $5,000 in profit.
In general, it is more likely for them to make at least $5,000 in profit if they sell a larger quantity of treats. This can be achieved by implementing effective marketing strategies, setting an appealing price, and targeting a wide audience.
Additionally, if they can minimize their costs (such as by negotiating better deals for purchasing treats), they would have a better chance of reaching their profit goal.
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sketch the solid described by the given inequalities. 0 ≤ r ≤ 1, − 2 ≤ ≤ 2 , 0 ≤ z ≤ 3
Answers
A cone is a three-dimensional geometric shape that has a circular base and tapers to a point, or vertex, at the top.
1. First, let's examine the inequalities:
a. 0 ≤ r ≤ 1: This represents the radial distance from the origin. It means the solid is within a radius of 1 unit from the origin.
b. −2 ≤ θ ≤ 2: This represents the angle around the z-axis, measured in radians. It means the solid spans from -2 to 2 radians around the z-axis.
c. 0 ≤ z ≤ 3: This represents the vertical distance along the z-axis. It means the solid extends from the base at z=0 to the top at z=3.
2. Now let's sketch the solid:
a. Start by drawing a circle with a radius of 1 centered at the origin. This represents the base of the solid at z=0.
b. Next, draw a line representing the angle of -2 radians and another line representing the angle of 2 radians from the positive x-axis on the base. These lines divide the circle into two parts.
c. Shade the area of the circle between the two angle lines. This is the cross-section of the solid at z=0.
d. To represent the height, draw a vertical line from the center of the circle, extending up to z=3. This is the top of the solid.
e. Connect the edges of the base to the top, forming a solid shape. This is the final sketch of the solid described by the given inequalities.
The solid is a section of a right circular cone with a radius of 1 and a height of 3, and it spans an angle of 4 radians around the z-axis.
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A Street that is 142 m long is covered in snow city workers are using a snowplow to create a snowplow has tires that are 1.3 m in a diameter how many times does a tire have to turn in traveling the length of the streets use the value 3.14 for pie around your answer to the nearest 10 do not around any intermediate steps
Answers
Answer: 44
Step-by-step explanation: No explain because just yeah:)
Let us assume that you started a job on 08/21/2019. You graduated on 05/20/2022. How many days have you been working at the job as a student?
Group of answer choices
1215
1287
905
1003
Answers
I have been working 1004 days at the job as a student
What are algebraic operations?They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
To solve this problem we must perform the following algebraic operations with the given information
Information about the problem:
Start = 08/21/2019Graduated = 05/20/2022Days = ?Calculating the days from 08/21/2019 to 08/21/2022, we get:
Days 1 = (08/21/2022 - 08/21/2019) * (365 days/1 year)
Days 1 = 3 years * (365 days/1 year)
Days 1 = 1095 days
Calculating the days from 05/21/2019 to 08/21/2019, we get:
Days 2 = (08/21/2019 - 05/21/2019) * (30 days / 1 month)
Days 2 = 3 month * (30 days / 1 month)
Days 2 = 90 days
Calculating the days from 05/20/2019 to 05/21/2019, we get:
Days 3 = 05/21/2019 - 05/20/2019
Days 3 = 1 day
Calculating the total days from 08/21/2019 to 05/20/2022, we get:
Total days = Days 1 - days 2 - days 3
Total days = 1095 days - 90 days - 1 day
Total days = 1004 days
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the area of the triangle is eqaula to the sqare show that x²-3x-2=0
Answers
Answer:
Step-by-step explanation:
Area of square = area of triangle
\(side*side = \dfrac{1}{2}b*h\\\\\\x*x=\dfrac{1}{2}*(x+1)(x+2)\\x^{2}=\dfrac{1}{2}[x*x +x*2+1*x+1*2]\\\\\\x^{2}=\dfrac{1}{2}[x^{2}+2x+x+2]\\\\\\x^{2}=\dfrac{1}{2}[x^{2}+3x+2]\\\\\\Multiply \ both \ sides \ by \ 2\\\\2x^{2}=x^{2}+3x+2\\\\2x^{2}-x^{2}-3x-2 = 0\)
x² - 3x - 2 = 0
Members of a softball team raised $1943.50 to go to a tournament. they rented a bus for $1148.50 and budgeted $53 per player for meals. write and solve an equation which can be used to determine x, the number of players the team can bring to the tournament.
Answers
The number of players the team can bring to the tournament are 15
Firstly we need to form the equation. The components of equation based on given information are as follows -
Total amount raised by softball team = Cost of bus + Cost of meal × number of players
Let the number of players be represented with x.
1943.50 = 1148.50 + 53×x
Rewriting the equation
53x = 1943.50 - 1148.50
Performing subtraction to Right Hand Side of the equation
53x = 795
Shifting 75 to Right Hand Side of the equation
x = 795 ÷ 53
Performing division at Right Hand Side of the equation
x = 15
Hence, 15 players the team can bring to the tournament.
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Express the polynomial
7x + 3x + 5 in standard form.
1. 5+3x + 7x
2. 10x + 5
3. 7x + 3x + 5
4. 4x + 5
Answers
Combined like terms, in this case “x”
7x + 3x = 10x
5 does not have a like term so it stay by itself
Answer 10x +5
WILL MARK BRAINLIEST !
To help you figure out transformations, I told you to ask yourself two questions:
and
Fill in one word per blank. Do NOT include ?
Answers
What are the questions I dont get it??? Please explain and I can help.
What is the average rate of change for this quadratic function for the interval
from x=-5 to x = -3?
-10
10
A. -16
B. -8
C. 8
D. 16
x4
Answers
The average rate of change of the function at the interval is -8
How to determine the average rate of change?The table that completes the question is added as an attachment
From the table, we have:
f(5) = -26
f(3) = -10
The average rate is then calculated as:
Rate = (f(5) - f(3))/(5 -3)
This gives
Rate = (-26 + 10)/(5 -3)
Evaluate
Rate = -8
Hence, the average rate of change of the function is -8
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how would you change the test procedure of part (b) to obtain a test with significance level .05? what impact would this change have on the error probability of part (c)?
Answers
the impact on the error probability of part is on Decreasing trends of the test procedure
A Type II error is when we fail to reject a false null hypothesis. Higher values of α make it easier to reject the null hypothesis, so choosing higher values for α can reduce the probability of a Type II error.
The consequence here is that if the null hypothesis is true, increasing α makes it more likely that we commit a Type I error (rejecting a true null hypothesis).
So using lower values of α can increase the probability of a Type II error.
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A girl travels from garage a for 59km ti garage b on a bearing of 037degree and then turn right through 90degree and travels for 119km to garage c what is the bearing frim c from a if ac is 138km
Answers
The bearing from C to A of the given travel path is gotten as; 100.63°
How to calculate the bearing?From the bearing image attached, we can use trigonometric ratios to get;
tanx = opp/adj
x = 53 + θ ---------- eqn(1)
opp = 119
adj = 59
Thus;
tan x = 119/59
tan x = 2.0169
x = tan⁻¹(2.0169)
x = 63.63°
From eqn (1), we have;
θ = x - 53
θ = 63.63 - 53
θ = 10.63°
Thus, the bearing from C to A = 90 + 10.63 = 100.63°
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Let theta be an acute angle of a right triangle. Find the values of the other five trigonometric functions of theta.
Answers
The exact values of the remaining trigonometric functions are listed below:
Case 3: cos θ = 3 / 5, tan θ = 4 / 3, cot θ = 3 / 4, sec θ = 5 / 3, csc θ = 5 / 4
Case 4: sin θ = √11 / 6, tan θ = √11 / 5, cot θ = 5√11 / 5, sec θ = 6 / 5, csc θ = 6√11 / 11
Case 5: cos θ = 8√73 / 73, sin θ = 3√73 / 73, tan θ = 3 / 8, cot θ = 8 / 3, csc θ = √73 / 3
Case 6: sin θ = 1 / 2, cos θ = √3 / 2, tan θ = √3 / 3, sec θ = 2√3 / 3, csc θ = 2
How to find the exact values of trigonometric functions
In this problem we find four cases of trigonometric functions, whose exact values of remaining trigonometric functions must be found. The trigonometric functions are defined below:
sin θ = y / √(x² + y²)
cos θ = x / √(x² + y²)
tan θ = y / x
cot θ = x / y
sec θ = √(x² + y²) / x
csc θ = √(x² + y²) / y
Now we proceed to determine the exact values of the trigonometric functions:
Case 3: y = 4, √(x² + y²) = 5
x = √(5² - 4²)
x = 3
cos θ = 3 / 5
tan θ = 4 / 3
cot θ = 3 / 4
sec θ = 5 / 3
csc θ = 5 / 4
Case 4: x = 5, √(x² + y²) = 6
y = √(6² - 5²)
y = √11
sin θ = √11 / 6
tan θ = √11 / 5
cot θ = 5√11 / 5
sec θ = 6 / 5
csc θ = 6√11 / 11
Case 5: x = 8, √(x² + y²) = √73
y = √(73 - 8²)
y = 3
cos θ = 8√73 / 73
sin θ = 3√73 / 73
tan θ = 3 / 8
cot θ = 8 / 3
csc θ = √73 / 3
Case 6: x = √3, y = 1
sin θ = 1 / 2
cos θ = √3 / 2
tan θ = √3 / 3
sec θ = 2√3 / 3
csc θ = 2
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3.687 times n equals 36.87
Answers
Answer:
n is 10 if that's what your asking
Answer:
n=10
Step-by-step explanation:
if you multiply 3.687 by ten, it carries the decimal place over making 36.87, so ten is the answer
You go to the Pima County State Fair with your friends. You save $72 before you go, you spend $12 on your ticket, and you want
to buy your friends matching t-shirts and they each cost $20. How many t-shirts can you buy?
Answers
The person can buy a maximum of three T-shirts to the group of friends.
How many T-shirts can someone buy to a group of friends?In this case we have the case of a person that saved some money to go to the State Fair with a group of friends, the maximum number of T-shirts to be bought is derived from the money available after spending to get a ticket to get in to the fair. The number of T-Shirts is found by means of the following operation:
x = ($ 72 - $ 12) / ($ 20)
x = ($ 60) / ($ 20)
x = 3
The person can buy a maximum of three T-shirts for the friends.
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Evaluate 1/3•2/5 help me please
Answers
Answer:
5/6
Step-by-step explanation:
1/3•2/5
1/3 • 5/2
1 • 5 = 5
3 • 2 = 6
5/6
Andre is preparing for the school play. He needs to paint a cardboard box to look like a dresser. The box is a rectangular prism that measures 5 feet tall, 4 feet long, and 2.5 feet wide. Andre does not need to paint the bottom of the box. 1. How much cardboard does Andre need to paint?
Answers
Answer:
Step-by-step explanation:
75 is right
10, 16, and 5 cm with an error in measurements of Suppose the length, width, and height of a box are measured respectively as at most 1 mm. Use differentials to estimate the maximum error in the calculated volume of the box.
Answers
The volume of the box is given by:
V = lwh
where l = 10 cm, w = 16 cm, and h = 5 cm.
The differential of V with respect to l is:
dV = (wh)dl + (lh)dw + (lw)dh
The differential of V with respect to w is:
dV = (lh)dw + (lw)dh + (wh)dl
The differential of V with respect to h is:
dV = (lw)dh + (wh)dl + (lh)dw
Using the maximum error of 1 mm for each measurement, we have:
dl = 0.1 cm
dw = 0.1 cm
dh = 0.1 cm
Substituting these values into the differentials above, we get:
dV ≈ (wh)(0.1) + (lh)(0.1) + (lw)(0.1)
dV ≈ (16 cm x 5 cm)(0.1) + (10 cm x 5 cm)(0.1) + (10 cm x 16 cm)(0.1)
dV ≈ 8 cm^2 + 5 cm^2 + 16 cm^2
dV ≈ 29 cm^2
Therefore, the maximum error in the calculated volume of the box is approximately 29 cm^3.
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Which of the following is NOT written in scientific notation?
32,7 10
G 1.27 x 10
H 4.7 10
0
6, 110
Answers
can anyone help, i dont need a detailed answer just a, b, c, or d
Answers
Answer:
1/32
Step-by-step explanation:
Hey check out the pic I attached! Hope this helps
______________________________ (three words) are a precise mathematical description of the semantics of an executing program.
Answers
Program State Model describes a precise mathematical description of the semantics of an executing program.
This model is used to illustrate how the program executes and to determine its behavior. It is composed of three components: states, transitions, and actions. A program state is a snapshot of the program's state at a particular point in its execution. It includes the values of variables and other resources. Transitions are the changes that occur between states, and are caused by the execution of instructions. Finally, actions are the operations that are performed by the program as it transitions from one state to the next. All of these components together provide a mathematical model for understanding the behavior of a program.
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Why is i squared equal to 1?
Answers
The square root of -1 is the definition of i. A square root is squared to eliminate the two and leave the original number.
Given that,
We have to find why i squared is equal to negative 1.
We know that,
The imaginary numbers are denoted as i.
We occasionally obtained negative integers in equations when using the radican (square root) symbol to solve them. When they realized this, some would halt and respond, "no actual solution," which is technically accurate. We can further simplify radicals by using the imaginary number I which is the square root of real numbers. We occasionally even manage to get rid of the fictitious element, which provides us with actual solutions.
The square root of -1 is the definition of i. A square root is squared to eliminate the two and leave the original number.
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Let X be the number of students who show up for a professor's office hour on a particular day. Suppose that the pmf of X is p(0) = .20, p(1) = .25, p(2) = .30, p(3) = .15, and p(4) = .10. a. Draw the corresponding probability histogram. b. What is the probability that at least two students show up? More than two students show up? c. What is the probability that between one and three students, inclusive, show up?
d. What is the probability that the professor shows up?
Answers
a) The probability histogram of pmf for the number of students who show up for a professor's office hour on a particular day is shown below.
b) The probability that at least two students show up = 0.55 and the probability that more than two students show up = 0.25
c) The probability that between one and three students show up = 0.7
d) The probability that the professor shows up = 0.20
First we write the number of students who show up for a professor's office hour on a particular day and their pmf in tabular form.
x p(x)
0 0.20
1 0.25
2 0.30
3 0.15
4 0.10
The probability histogram of this data is shown below.
The probability that at least two students show up would be,
P(x ≥ 2) = p(2) + p(3) + p(4)
P(x ≥ 2) = 0.30 + 0.15 + 0.10
P(x ≥ 2) = 0.55
Now the probbability that more than two students show up:
P(x > 2) = p(3) + p(4)
P(x > 2) = 0.15 + 0.10
P(x > 2) = 0.25
The probability that between one and three students show up would be:
P(1 ≤ x ≤ 3) = p(1) + p(2) + p(3)
P(1 ≤ x ≤ 3) = 0.25 + 0.30 + 0.15
P(1 ≤ x ≤ 3) = 0.7
And the probability that the professor shows up would be: p = 0.20
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Part A: Find the area of the region enclosed between y=3sin(x)
and y=3cos(x) from x=0 to x=0.6π.
Hint: Notice that this region consists of two parts.
Answers
The given problem involves finding the area of a region that is enclosed between two curves, which are given in terms of sine and cosine functions. Specifically, we are asked to find the area between the curves y = 3sin(x) and y = 3cos(x) from x = 0 to x = 0.6π.To solve the problem, we need to first graph the two curves and determine the points of intersection.
We can then split the region into two parts based on the x-values of the intersection points. We can then use the integral calculus to find the area of each part separately, and add them up to get the total area. We can use the fact that the area between two curves is given by the integral of the difference between the curves, with respect to the variable of integration.
In this case, we need to integrate (3cos(x) - 3sin(x)) with respect to x, from x = 0 to x = 0.6π, for each of the two parts. Once we have computed the integrals, we can add up the two areas to get the total area of the region. This will give us a measure of the size of the region enclosed by the two curves, and can be useful in various fields of science and engineering.
Overall, the problem involves using integral calculus to find the area of a region that is bounded by two curves. It also requires an understanding of the properties of sine and cosine functions and their graphs.
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- 2d - 29 = 10 a easy question for your guys points lol
Answers
Answer:
19.5
Step-by-step explanation:
2 x 19.5 = 39 - 29 = 10 :D
What is the domain of the function shown in the graph?
Answers
Answer:
x≥2
Step-by-step explanation: The line does not stop and seems to keep going. The starting point is 2 so that is the first number. The line is moving right, so x would have to be greater than 2. But, there is not an open circle on 2 so then it would be inlcuded in your answer.
Answer:
C just did the tset
Step-by-step explanation:
A circle is cut into congruent sections and arranged to form a figure that approximates a parallelogram. Find the approximate height of the figure when its area is 12.25π square centimeters.
Answers
Answer:
The height is 3.43 centimeters, approximately.Step-by-step explanation:
Notice that there are 16 pieces from the circle, which means each sector has an angle of
\(\theta = \frac{360\°}{16}=22.5\°\)
Where all sectors have equal area.
Now, the area of the whole circle is \(12.25 \pi \ cm^{2}\), if we use the formula of its area, we'll find the radius of the circle
\(A= \pi r^{2}\\ 12.25\pi = \pi r^{2}\\ r=\sqrt{12.25} \approx 3.5\)
Notice that each piece works as an isosceles triangle, because each side is the radius, that is, they have the same length. So far, we know the sides of the isosceles triangle and one internal angle.
To find the height of the one piece, we need to use trigonometric reasons, because the height divides a triangle in two equal right triangles.
\(cos(11.25\°)=\frac{h}{3.5}\\ h=3.5 \times cos(11.25 \°)\\h \approx 3.43\)
Therefore, the height is 3.43 centimeters, approximately.
4-7 -
4-7
7
PLEASE HELP
Answers
Answer:
B) 1/4^ 7.
Step-by-step explanation:
You should know this.... basic math
HELP ILL GIVE BRAINLIEST
It’s not very clear but I will give brainliest
Answers
Answer:
95 mph fastball
Step-by-step explanation:
just because