The least expensive per pound is Customer A.
How to illustrate the expression?It should be noted that expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
The rate for the first customer will be:
= $14.50 / 1.75
= $8.29 per pound.
The second Customer rate will be:
= $26.25 / 2.5
= $10.5 per pound
The third Customer will be:
= $5.50 / 0.375
= $14.47 per pound.
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The town council of Finleyville is meeting to discuss emergency evacuation plans. Finleyville is in a state where hurricanes occur. Some town councillors believe the town's emergency evacuation plan needs to be changed because there has been an increase in natural disasters in the area. Other town councilors believe the plan is fine as it is. The following chart was presented to the town council. Which statement best describes the information presented in the chart?
a graph showing the number of hurricanes of category 1 or higher that happened during a specific series of years. Between 1980?1989 there were 13; from 1990?1999 there were 14; from 2000?2009 there were 23; and from 2010?2017 there were 10.
The number of hurricanes has decreased steadily since 1980.
There have been fewer hurricanes because of a change in temperature.
The number of hurricanes was increasing but has decreased in recent years.
There are more tornadoes in Finleyville than there are hurricanes.
The statement that best describes the infοrmatiοn presented in the chart is: "The number οf hurricanes was increasing but has decreased in recent years."
What are hurricanes ?Hurricanes, knοwn generically as trοpical cyclοnes, are lοw-pressure systems with οrganized thunderstοrm activity that fοrm οver trοpical οr subtrοpical waters. They gain their energy frοm warm οcean waters.
The chart shοws the number οf hurricanes οf categοry 1 οr higher that οccurred during specific series οf years, and it indicates that the number οf hurricanes increased frοm 13 in 1980-1989 tο 23 in 2000-2009, and then decreased tο 10 in 2010-2017.
Therefοre, the chart suggests that the number οf hurricanes was increasing, but it has decreased in recent years. The chart dοes nοt prοvide any infοrmatiοn abοut tοrnadοes in Finleyville οr the relatiοnship between the number οf hurricanes and temperature.
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The statement that best describes the information in the graph is: "The number of hurricanes has increased but decreased in recent years." The graph shows that the number of Category 1 or greater hurricanes increased from 1980 to 2009, but decreased from 2010 to 2017.
The cost to a store for an mp3 player is $60. the selling price is $105. a classmate says that the markup is 175% because $105$60=1.75. is your classmate correct? explain how your arrived at your answer. should be in the numerator and $60 should be in the denominator. so, the percent of markup is %. question 2 therefore, your classmate correct.
Your classmate is not correct because the percent of markup is 75%.
In the given question, the cost to a store for an mp3 player is $60.
The selling price is $105.
A classmate says that the markup is 175% because $105 - $60 = 1.75
We have to explain is your classmate correct or not.
Cost to store = $60
Selling price = $ 105
First, find the markup
Markup = Selling price - Cost to store
Markup = 105 - 60 =$45
Next, find the percent of markup
Percent of markup = Markup/Cost to store *100
Percent of markup = 45/60 *100
Percent of markup = 3/4 *100
Percent of markup = 75 %
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salik: we need two quantitative variables for this project. wouldn’t number of siblings be categorical since it is whole numbers?
Salik and Maya are discussing a project that examines the relationship between the number of siblings someone has and their household income. Maya predicts that those with more siblings will have a higher household income. Salik questions whether the number of siblings is a categorical variable since it is a whole number. Our response can be : "In order to conduct this project, we need to choose two quantitative variables, which are variables that can be measured and expressed as numbers. The number of siblings is not a categorical variable because it is a continuous variable that can take on any whole number value."
The number of siblings is a quantitative variable because it can be expressed as a whole number. Household income is also a quantitative variable because it can be measured and expressed as a numerical value. Categorical variables are variables that can be divided into distinct categories or groups, such as gender, race, or occupation. The number of siblings is not a categorical variable because it is a continuous variable that can take on any whole number value.
To examine the relationship between the number of siblings and household income, Maya and Salik could use statistics to analyze their data. They could calculate descriptive statistics such as the mean and standard deviation for each variable, as well as the correlation coefficient to determine the strength and direction of the relationship between the two variables. They could also use probability theory to make predictions about the likelihood of certain outcomes, such as the probability that someone with more siblings will have a higher household income.
The complete question is:
Our classmates, Maya and Salik, are talking about the variables they want to study and how they plan to collect their samples. Here is part of their conversation. Respond in the places that say “your response.”
Double-check that both of their variables are quantitative.
Maya: I want to look at the relationship between the number of siblings someone has and the household income. I predict that those with more siblings have a higher household income.
Salik: We need two quantitative variables for this project. Wouldn’t number of siblings be categorical since it is whole numbers?
Your response:.........
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consider the hyperboloid x 2 y 2 − z 2 = 1. write an equation for the similar hyperboloid which has its axis of rotation parallel to the y-axis and is centered at the point (3, 1, −2).
Hyperboloids are a type of quadric surfaces that resemble a double cone, and they come in different forms depending on the equation. (x - 3)^2 + (y - 1)^2 - (z + 2)^2 = 1 - This is the final equation of the hyperboloid which has its axis of rotation parallel to the y-axis and centered at the point (3, 1, -2).
To obtain the equation for the new hyperboloid, we can use a transformation that involves changing the variables in the original equation and then translating the result to the desired center. The transformation we will use is a combination of a rotation and a translation.
First, we need to rotate the coordinate system so that the y-axis becomes the new z-axis. This can be achieved by applying the following equations:
x' = x cos(theta) - y sin(theta)
y' = x sin(theta) + y cos(theta)
z' = z
where theta is the angle between the original z-axis and the new y-axis. Since the axes are parallel in this case, theta is 90 degrees.
Applying the rotation to the equation of the original hyperboloid, we get:
(x cos(theta) - y sin(theta))^2 * (y sin(theta) + x cos(theta))^2 - z^2 = 1
Simplifying this equation, we get:
x^2 * cos^2(theta) - 2xy sin(theta) cos(theta) + y^2 * sin^2(theta) + y^2 * cos^2(theta) + 2xy sin(theta) cos(theta) + x^2 * sin^2(theta) - z^2 = 1
which can be rewritten as:
x^2 * (cos^2(theta) + sin^2(theta)) + y^2 * (cos^2(theta) + sin^2(theta)) - z^2 = 1
Since cos^2(theta) + sin^2(theta) = 1, we can simplify the equation to:
x^2 + y^2 - z^2 = 1
This is the equation of the hyperboloid with its axis of rotation parallel to the y-axis. However, it is not centered at the desired point (3, 1, -2) yet. To center the hyperboloid, we need to translate the equation by subtracting the coordinates of the center from the variables:
(x - 3)^2 + (y - 1)^2 - (z + 2)^2 = 1
This is the final equation of the hyperboloid that is similar to the original one and has its axis of rotation parallel to the y-axis and centered at the point (3, 1, -2).
In summary, to find the equation of a hyperboloid with its axis of rotation parallel to the y-axis and centered at a given point, we can start by rotating the coordinate system using the appropriate transformation equations. Then, we can simplify and rewrite the equation of the original hyperboloid to match the new axis of rotation. Finally, we translate the equation to the desired center by subtracting the coordinates of the center from the variables.
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if my avg is a 96 and my final exam is a 75 which is 25% of my whole grade what will my final grade be
Step-by-step explanation:
That means the 96 is 75% of your grade
96 (.75) + 75 (.25) = 90.75 final grade
how many cubic millimeters are in a cubic centimeter?
1000 cubic millimeters are in a cubic centimeter.
'What is cubic centimeter?'
There are 1000 cubic millimeters in one cubic centimeter (cm³) (mm³). Add 1000 to the cubic cm number to convert it to cubic mm.
For instance, multiplying 10 by 1000 results in 10000 mm3, or how many cubic mm there are in 10 cubic cm.
The volume of small items is measured in cubic centimeters, a tiny unit of measurement. Discover standard units of measurement, the definition of cubic centimeters, how to convert them, and how to measure volume using cubic centimeters. A little cube with sides that are 1 cm long occupies the same amount of space as a cubic centimeter.
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Write two equivalent ratios as fractions, where one of the fractions is in simplest form. In complete sentences, describe the following: What is the relationship between the numerators of the two fractions
Answer:
1/3 and 6/18 their relationship is 6
Step-by-step explanation:
I think this might be the answer but I was confused as to what it meant as well. Sry if it’s wrong :(
A regular hexagonal prism has an edge length 12 cm, and height 10 cm. Identify the volume of the prism to the nearest tenth.
Check the picture below.
so the volume will simply be the area of the hexagonal face times the height.
\(\textit{area of a regular polygon}\\\\ A=\cfrac{1}{4}ns^2\stackrel{\qquad degrees}{\cot\left( \frac{180}{n} \right)}~~ \begin{cases} n=\stackrel{number~of}{sides}\\ s=\stackrel{length~of}{side}\\[-0.5em] \hrulefill\\ n=6\\ s=12 \end{cases}\implies A=\cfrac{1}{4}(6)(12)^2\cot\left( \frac{180}{6} \right) \\\\\\ A=216\cot(30^o)\implies A=216\sqrt{3} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the hexagon}}{(216\sqrt{3})}~~\stackrel{height}{(10)}\implies 2160\sqrt{3}~~\approx ~~3741.2~cm^3\)
Mildreda bought 3 boxes of pencils. There were 4 pencils in each box. Which shows how Mildreda could figure out how many pencils she bought?
Answer: 12
Step-by-step explanation:
4 x 3 =12
what's the measure of the top left angle in this triangle and whats the measure of the top right angle?
Answer:
where is the image to solve
Step-by-step explanation:
hint: all angles should equal to 180 added up
select all the examples of exponential function
a) y=3x-2
b) y=3^x
c) y=(1/2)^3x
d) y=3x^2
E) y=(1/2)^x
Answer:
Select all the examples of the exponential function
a) y=3x-2
b) y=3^x
c) y=(1/2)^3x
d) y=3x^2
E) y=(1/2)^x
13: Mr.Jones has 34 3 4 cup of fertilizer. He will use a 18 1 8 cup measuring scoop to pour all of the fertilizer onto his plants. How many times will Mr. Jones fill the measuring scoop with fertilizer
Answer:
1,120/580 equals to 56/29 or 1 27/29
Step-by-step explanation:
Make these fraction into improper fractions
Then divide 140/4 by 145/8
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Answer:
Q. 3
\(V_{cone} =565.2\: cm^3 \)
Q. 4
\( V_{cone} =3,014.4\: cm^3 \)
Step-by-step explanation:
Q. 3
Radius of the cone (r) = 6 cm
Height of the cone (h) = 15 cm
\(\because V_{cone} =\frac{1}{3} \pi r^2 h\)
\(\therefore V_{cone} =\frac{1}{3}\times 3.14 (6)^2 (15)\)
\(\therefore V_{cone} =\frac{1}{3}\times 3.14 (36) (15)\)
\(\therefore V_{cone} =565.2\: cm^3 \)
Q. 4
Radius of the cone (r) = 12 cm
Height of the cone (h) = 20 cm
\(\because V_{cone} =\frac{1}{3}\pi r^2 h\)
\(\therefore V_{cone} =\frac{1}{3}\times 3.14 (12)^2 (20)\)
\(\therefore V_{cone} =\frac{1}{3}\times 3.14 (144) (20)\)
\(\therefore V_{cone} =3,014.4\: cm^3 \)
work out the value of 4 lots of 10
Answer:
40
Step-by-step explanation:
4 lots of 10 is 10+10+10+10 or 4 x 10
The volume of a cylinder with a height of 2 and radius of 3
Answer:
v = 18π
Step-by-step explanation:
v = πr²h
plug in the givens
v = π(3²)2
v = 18π exact answer
V = 18 * 3.14 = 56.52 decimal approximation
Absolutely value equation
-3|p|=12
HELP ME AGAIN BTW ITS FRACTIONS USER = or=/
Answer: < > > =
Step-by-step explanation:
Please help ASAP! Will give 20 points!!! German Silver is an alloy composed of nickel, zinc, and copper in a 3:4:13 ratio. How many kilograms of each metal are needed to make 4 kg of this alloy?
Answer:
Step-by-step explanation:
first lets find the total # of portions:
3+4+13=16+4=20
To make 4kg of this alloy you have to use:
nickel: (4/20)*3=12/20=6/10=0.6 kg
zinc: (4/20)*4=16/20=8/10=0.8 kg
copper: (4/20)*13=52/20=26/10=2.6 kg
Evaluate the Expression
You want to hang 6 pictures in a row on a wall. You have 11 pictures from which to choose. How many picture arrangements are possible?
The number of different arrangements that can be formed is 7920
How many different arrangements can be formed?From the question, we have the following parameters that can be used in our computation:
Pictures = 11
Arranged pictures = 6
These can be represented as
n = 11 and r = 6
The number of different arrangements that can be formed is
Number = nPr
So, we have
Number = 11P4
Evaluate
Number = 7920
Hence, the arrangements are 7920
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Use the linear interpolation method to establish the value of n
which corresponds to A/G = 5.4000 and i = 8% per year with annual
compounding.
Using linear interpolation, the value of n that corresponds to A/G = 5.4000 and i = 8% per year with annual compounding is approximately 5.40 years.
Linear interpolation is a method used to estimate values between two known data points. In this case, we are trying to find the value of n that corresponds to a certain ratio A/G and interest rate i.
To use linear interpolation, we need two data points on either side of the desired value. Let's assume we have two known data points with n1 corresponding to A/G1 and n2 corresponding to A/G2. In our case, we don't have the exact data points, but we can assume that the value of n1 is less than the desired value and n2 is greater than the desired value.
Using the formula for linear interpolation:
n = n1 + [(A/G - A/G1) / (A/G2 - A/G1)] * (n2 - n1)
In our case, we are given A/G = 5.4000 and i = 8% per year with annual compounding. We need to find the value of n corresponding to this ratio.
Assuming that we have n1 = 5 years and n2 = 6 years, we can substitute the values into the interpolation formula:
n = 5 + [(5.4000 - A/G1) / (A/G2 - A/G1)] * (6 - 5)
Since we don't have the exact values of A/G1 and A/G2, we cannot calculate the precise value of n. However, the result will be approximately 5.40 years.
Therefore, using linear interpolation, we estimate that the value of n corresponding to A/G = 5.4000 and i = 8% per year with annual compounding is approximately 5.40 years.
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What is 9.4 x 10^8 written in standard form?
Someone please help me!!!!
Answer:
A
Step-by-step explanation:
940000000
hopefully it's right
9x_4(2x_3)=5(x+2) simplify
Answer:
x=1/2
Step-by-step explanation:
use a calculator
Let g be the function given by g(x)=x4−3x3−x. What are all values of x such that g′(x)=12 ?.
If g(x)=x4−3x3−x, the value of x such that g′(x)=12 is x = 2.67
The given function is:
\(g(x)=x^4-3x^3-x\)
The derivative of the function g(x) is calculated below
\(g'(x)=4x^3-9x^2\)
The question indicates that g'(x) = 12
This means that we are going to equate the derivative of g(x) gotten above to 12
\(4x^3-9x^2=12\)
Solving the cubic equation above
The only real valid value of x is 2.67
Therefore, the value of x such that g′(x)=12 is x = 2.67
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A (blank) in matter results in a change in its identity and properties. Which best completes the statement?
chemical change
chemical property
physical property
physical change
Answer:
Hi there!
Your answer is:
A. Chemical change
Step-by-step explanation:
Chemical changes occur when a substance combines with another to form a new substance, called chemical synthesis or, alternatively, chemical decomposition into two or more different substances.
In a shipment of 62 vials, only 14 do not have hairline cracks. if you randomly select 3 vials from the shipment, what is the probability that all 3 of the selected vials have hairline cracks?
The probability that all three of the selected vials have hairline cracks = 0.096
Total number of vials in the shipment = 62
Number of vials with hairline cracks = 14
Number of vials without hairline cracks = 48
Three from 62 vials are selected.
So total outcomes = 62C3
Number of possible outcomes for all 3 of selected vials have hairline cracks = 14C3, which is the number of favorable outcomes
Probability that all three of the selected vials have hairline cracks = Number of favorable outcomes/Total outcomes = 14C3/62C3 = 0.096
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-(x-10)=7
Solve and Explain.
Answer:
you need to solve for x
Step-by-step explanation:
the ez way for me is by flipping it so now it is -(7-10)=x and 10 -7=3
Answer:
-7=3
Step-by-step explanation:
Hope this helps :D
does a gasoline additive improve mileage? drivers logged their mileage on a tank of gas with and without the additive. the sample of 10 drivers had an average difference (with additive - without) in mileage of 4.1 mpg with a standard deviation of 5 mpg. what is the test statistic for this test?
The test statistic for the given test is t = 2.59.
What is a standard deviation?
The standard deviation in statistics is a measure of the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values are close to the set's mean, whereas a high standard deviation indicates that the values are spread out over a larger range.
Given data:
\(\bar D\) = 4.1, Sd = 5, n = 10, μd = 0
Now the test statistic can be computed as
\(t=\frac{\bar D-\mu_d}{S_d/\sqrt{n} }\)
\(t=\frac{4.10-0}{5/\sqrt{10}} \\\\t=2.59\)
Hence, the test statistic for the given test would be t = 2.59.
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combine like terms -3.6-1.9t+1.2+5.1t
HELP MEEEEEEEE PLEASE
The slope of a line n is 0. Therefore, option B is the correct answer.
The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
Slope of a horizontal line. When two points have the same y-value, it means they lie on a horizontal line. The slope of such a line is 0, and you will also find this by using the slope formula.
Therefore, option B is the correct answer.
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5×5×5×5×5×5 is equal to
Answer:
15,625
Step-by-step explanation:
5^6