Volume of a cube is the amount of space occupied by the cube mathematically given by
\(V=l^3\)where l = length of a side = 17.7 inches
\(V=17.7^3=5545.233\text{ cu inch}\)To the nearest tenth, volume = 5545.2 cubic inches
2. Penny is 1/16 inch thick and there are now 500,000,000,000 pennies. How many miles high would the stack be? *Use the converter after you get your answer in inches. Show work:
Answer:
447451 miles
Step-by-step explanation:
a mile is 5820 feet or 69840 inches. 500,000,000,000/16 and then divide that by 5820
Is y=-7 horizontal or vertical
Answer:
Horizontal
Step-by-step explanation:
Answer:
Y=7 is a horizontal line :)
Step-by-step explanation:
(The equation can be written as y=0x+7 ). Thus, y will always be 7 , creating a horizontal line.
Difficult one for me: Geometry!
Answer:
what is your question here??
which of the following functions best describes this graph?
(image attached)
The equation that best describe the graph is
B. x² + 7x + 10How to find the equation o the quadratic graphExamining the graph shows that the graplh has its zeros at
x= -2 and x = -5
These value will be used to form the required equation as follows
x = -2
x + 2 = 0
x = -5
x + 5 = 0
(x + 2)(x + 5)
Expanding results to
= x² + 5x + 2x + 10
= x² + 7x + 10
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You are planning to rent a condo. Your monthly rent will be $750, and your renters insurance will be $1,800 per year.
What is the adjusted monthly cost for renting this condo?
The adjusted monthly cost for renting this condo is $900.
How to calculate the adjusted monthly cost for renting the condo?To calculate the adjusted monthly cost for renting the condo, we need to convert the annual renters insurance premium to a monthly premium by dividing it by 12.
Monthly cost for renters insurance = $1,800 / 12 = $150
Adding the monthly rent and monthly renters insurance cost, we get:
Monthly cost for renters insurance = $1,800 / 12 = $150
Adjusted monthly cost = $750 + $150 = $900
Therefore, the adjusted monthly cost for renting this condo is $900.
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x (5 + x) = x² + 3x + 1 find value for x
Answer:
\(\displaystyle{x=\dfrac{1}{2}}\)
Step-by-step explanation:
Given our quadratic equation:
\(\displaystyle{x(5+x) = x^2 + 3x + 1}\)
We know it's quadratic equation because we are able to tell that the highest degree of equation is 2 as seen in the equation itself.
First, we will be multiplying or simplifying the LHS (Left-Hand Side) so we can arrange the expression in standard quadratic equation form. Using distributive property, we multiply x with 5 and also with another x too, this will get us with:
\(\displaystyle{x \cdot 5 + x\cdot x= x^2 + 3x + 1}\\\\\displaystyle{5x + x^2= x^2 + 3x + 1}\)
Next, we will arrange entire equation to \(\displaystyle{ax^2+bx+c=0}\):
\(\displaystyle{5x+x^2= x^2 + 3x + 1}\\\\\displaystyle{x^2-x^2+5x-3x-1=0}\)
Simplify:
\(\displaystyle{2x-1=0}\)
After simplifying the expression, notice that it becomes a linear equation, meaning that two parabolas only have one common point (since both equations are quadratic, both have parabola graph.)
Solve for x-term:
\(\displaystyle{2x=1}\\\\\displaystyle{x=\dfrac{1}{2}}\)
Therefore, the value of x is 1/2. We can also check the answer if the solution is correct or not by substituting the solution that we have got in the equation and see if both sides are equal or not.
If both are equal or the equation is true then it means that the solution that we have solved is correct. Otherwise, it's not.
Substitute x = 1/2 in the equation:
\(\displaystyle{\dfrac{1}{2}\left(5+\dfrac{1}{2}\right)=\left(\dfrac{1}{2}\right)^2+3\left(\dfrac{1}{2}\right)+1}\\\\\displaystyle{\dfrac{5}{2}+\dfrac{1}{4}=\dfrac{1}{4}+\dfrac{3}{2}+1}\\\\\displaystyle{\dfrac{5}{2}-\dfrac{3}{2}=\dfrac{1}{4}-\dfrac{1}{4}+1}\\\\\displaystyle{\dfrac{2}{2}=1}\\\\\displaystyle{1=1}\)
Now that both sides have same value - the equation is true when x = 1/2. Therefore, we can conclude that the solution to this equation is x = 1/2.
the number of hours worked per year per person in a state is normally distributed with a standard deviation of 39. a sample of 15 people is selected at random, and the number of hours worked per year per person is given below. calculate the 98% confidence interval for the mean hours worked per year in this state. round your answers to the nearest integer and use ascending order. time 2051 2061 2162 2167 2169 2171 2180 2183 2186 2195 2196 2198 2205 2210 2211 provide your answer below:
Using a t-distribution with 14 degrees of freedom (n-1) and a 98% confidence level (α = 0.02/2 = 0.01 for each tail), we have:
sample mean (x) = (2051+2061+2162+2167+2169+2171+2180+2183+2186+2195+2196+2198+2205+2210+2211)/15 = 2180.6
sample standard deviation (s) = 39
standard error of the mean (SEM) = s/√n = 39/√15 ≈ 10.077
t-score for a 98% confidence level and 14 degrees of freedom (from t-distribution table or calculator) = 2.977
Margin of error (ME) = t-score × SEM = 2.977 × 10.077 ≈ 30.05
Therefore, the 98% confidence interval for the mean hours worked per year in this state is:
(x- ME, x+ ME) = (2180.6 - 30.05, 2180.6 + 30.05) = (2150, 2211)
Rounding to the nearest integer and putting the limits in ascending order, we get:
(2150, 2211)
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you must make sure all entities of a proposed system can fit onto one diagram. it is not allowed to break up a data model into more than one diagram. true or false? true false
The given statement "you must make sure all entities of a proposed system can fit onto one diagram." is False because it is not necessary to fit all entities.
It is not necessary to fit all entities of a proposed system onto a single diagram, nor is it forbidden to break up a data model into more than one diagram. The size and complexity of a data model will often require it to be spread across multiple diagrams, with each diagram representing a subset of the entities and their relationships.
In fact, breaking up a data model into smaller, more manageable diagrams can be beneficial for understanding and communicating the system's structure and behavior. By grouping related entities and relationships together, each diagram can provide a clear and focused view of a specific aspect of the system.
However, it is important to maintain consistency and clarity across all diagrams, using a standard notation and labeling convention. Each diagram should also clearly indicate its position within the larger data model, to ensure that the relationships and dependencies between entities are properly understood.
Overall, while it is not necessary to fit all entities onto a single diagram, it is important to carefully plan and structure the data model into manageable and meaningful subsets for effective communication and understanding.
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NEED HELP ASAP PLS AND THANK YOU!!!!
Answer:
Step-by-step explanation:
Urgent urgent urgent urgent
You're urgent
Which number produces a rational number when multiplied by 1/3 ?
A. π
B.2.236067978...
C.3/7
D. √12
3/7 produces a rational number when it is multiplied by 1/3.
What is rational number?
A number that can be represented as the quotient p/q of two integers such that q ≠ 0 is called a rational number.
What is irrational number?An irrational number is a type of real number which cannot be represented as a simple fraction.
What is the product of rational number and a irrational number?The product of any rational number and any irrational number is always a irrational number.
According to the given question
We have,
1/3 a rational number.
Some numbers , π, 2.236067978, 3/7, √12
Since, π is an irrational number as it is not recurring and not terminating, so its behavior is not known .
And we know that, when we multiply a rational number with a irrational number we get a irrational number.
Therefore, π × \(\frac{1}{3}\) = irrational number.
Similarly,
2.236067978.... is a irrational number because it is not terminating and not recurring. And its behavior in not known.
Therefore, 2.236067978 × \(\frac{1}{3}\) = irrational number
3/7 is a rational number
So, \(\frac{3}{7}\) × \(\frac{1}{3}\) = \(\frac{1}{7}\) is a rational number.
√12 is a irrational number.
So, √12 × \(\frac{1}{3}\) = irrational number
Hence, 3/7 produces a rational number when it is multiplied by 1/3.
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- I will give brainliest
Find the area of this shape. Include units of measure in your answer.
21 inch²
we splitthe two shapes, find the areas by multiplying the two sides and we add both of the answers, 15+6
Answer:
2(3) + 2(6) = 6 + 12 = 18 square feet
which of the following sentences is true? a. if sample a is twice as big as sample b then sampling error for a will be one-half that for b. b. if a data set conforms to the normal probability distribution, then the mean, median, and mode have the same value. c. if one needed to know whether a sizable portion of a group were above or below a certain level, the most useful sense of average would be mode. d. if a given quantity is increased by 30% and then that result is decreased by 30%, the quantity is restored to what it originally was.
The sentence that is true is;
Option D. if a given quantity is increased by 30% and then that result is decreased by 30%, the quantity is restored to what it originally was.
How to determine the true sentenceThis statement is accurate since a quantity always returns to its original value when increased by a specific percentage and subsequently dropped by the same amount.
When a quantity is increased by 30% and then decreased by 30%, the changes are cancelled out, restoring the original quantity.
Hence, the true statement is that if a given quantity is increased by 30% and then that result is decreased by 30%, the quantity is restored to what it originally was.
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to properly examine the effect of a categorical independent variable in a multiple linear regression model we use an interaction term. group of answer choices true false
to properly examine the effect of a categorical independent variable in a multiple linear regression model we use an interaction term then it is a true statement
we have given that the by which method we use the different levels of a qualitative independent variable and we have to explain about it.
So, For his purpose, we know that the
A dummy variable is a variable that takes values of 0 and 1, where the values indicate the presence or absence of something.
And in the multiple regression method there are a lot of different variables which are used for a qualitative and for this a variable is used which is called the dummy variables.
By this variables we show the analysis between the given data. it gives the output in the 0 and 1 numbers.
So, For the levels of qualitative, the variable called dummy variables is used in the multiple regression method.
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Generally, which one of the following is the least appropriate measure of central tendency for a data set that contains outliers? a. mean b. median c. 2nd quartile d. 50th percentile
The least appropriate measure of central tendency for a data set that contains outliers is the mean. This is because the mean is calculated by taking the sum of all the values in the data set and dividing it by the number of values. This means that the mean is heavily influenced by outliers, as they are included in the calculation.
The median, 2nd quartile, and 50th percentile are all more appropriate measures of central tendency for a data set that contains outliers, as they are not affected by the presence of outliers. The median is calculated by taking the middle value of the data set, the 2nd quartile is calculated by taking the median of the upper half of the data set, and the 50th percentile is calculated by taking the value at the 50th percentile of the data set.
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The distribution of actual weights of 8-ounce chocolate bars produced by a certain machine is normal with mean 8.1 ounces and standard deviation 0.1 ounces. If a sample of five of these chocolate bars is selected, there is only a 5% chance that the average weight of the sample of five of the chocolate bars will be below _______. (Use the formula backwards to solve for X...do NOT round until the very last step.) Select the closest answer.
The value below which there is only a 5% chance that the average weight of the sample of five of the chocolate bars will be below is approximately 7.9605 ounces.
Given that the distribution of actual weights of 8-ounce chocolate bars produced by a certain machine is normal.
The mean μ = 8.1 ounces and standard deviation σ = 0.1 ounces.
A sample of five of these chocolate bars is selected, and we need to find the value below which there is only a 5% chance that the average weight of the sample of five of the chocolate bars will be below.
This can be done by using the following formula:
z = (x - μ) / (σ / \(\sqrt\)(n))
Where, z is the standard normal variable, x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.
Since the sample size is less than 30, we will use the t-distribution instead of the z-distribution. The formula for the t-distribution is:
t = (x - μ) / (s / \(\sqrt\)(n))
Where, t is the t-variable, x is the sample mean, μ is the population mean, s is the sample standard deviation, and n is the sample size.
Here, we need to find the value of x such that the probability of the sample mean being less than x is 5%. This can be done by finding the t-value for the 5th percentile with 4 degrees of freedom (n-1 = 5-1 = 4) using a t-table or a calculator. We get:
t = -2.776445
The formula can be rearranged to solve for x:
x = μ + t * (s / \(\sqrt\)(n))
Substituting the given values, we get:
x = 8.1 + (-2.776445) * (0.1 / \(\sqrt\)(5))x ≈ 7.9605
Therefore, the value below which there is only a 5% chance that the average weight of the sample of five of the chocolate bars will be below is approximately 7.9605 ounces.
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Does anyone know this one I would love help
Answer:
c
Step-by-step explanation:
the graph shows a constant speed an no change in distance
Solve for <2.
42 = [?]°
42
130°
1
84°
Answer:
46 degree
Step-by-step explanation:
as we know, 130 degree = 84degree+ <2
now <2 = 130 - 84 = 46 degree
The Atlantic Ocean region contains approximately 2 × 10^16 gallons of water. Lake Ontario has approximately 8,000,000,000,000 gallons of water. How many Lake Ontarios would it take to fill the Atlantic Ocean region in terms of gallons of water?
Answer:
2500 gallons or water.
Step-by-step explanation:
Atlantic ocean contains 2 x 10¹⁶ gallons of water.
lake Ontario has approx 8 x 10¹² gallons of water.
req'd:
how many lake ontarios would it take to fill the Atlantic ocean in gallons of water?
= 2 x 10¹⁶ gallons of water
8 x 10¹² gallons of water
= 2500 Lake Ontarios to fill The Atlantic Ocean
2500 times the gallons of water Lake Ontarios will take to fill the Atlantic Ocean region.
Given that,
The Atlantic Ocean region contains approximately 2 × 10^16 gallons of water.
Lake Ontario has approximately 8,000,000,000,000 gallons of water or 8 * 10¹².
To determine how many Lake Ontarios would it take to fill the Atlantic Ocean region in terms of gallons of water
The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
Lake Ontarios would it take to fill the Atlantic Ocean region
= 2 × 10¹⁶ / 8 * 10¹²
= 0.25 * 10⁴
= 2500 times the gallons of water Lake Ontarios
Thus, 2500 times the gallons of water Lake Ontarios will take to fill the Atlantic Ocean region.
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Included as part of the compromise of 1850, the fugitive slave act
a. greatly decreased support for the abolition movement.
b. encouraged people to assist runaway slaves.
c. allowed states to decide whether to be free or slave states.
d. made it a crime to assist runaway slaves.
The Fugitive Slave Act was repealed in 1864 as part of the 13th Amendment, which abolished slavery in the United States.
The Fugitive Slave Act was a controversial law that was included as part of the Compromise of 1850. This law made it a federal crime to assist runaway slaves and required citizens to help capture and return them to their owners. The Act was met with significant opposition from abolitionists and many Northerners who believed that it violated basic human rights. The Act also increased tensions between the North and South, as many Northerners saw it as a concession to the slave-owning South. While it did not necessarily decrease support for the abolition movement, it did encourage people to assist runaway slaves and resist the law. Ultimately, the Fugitive Slave Act was repealed in 1864 as part of the 13th Amendment, which abolished slavery in the United States.
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The length of the base of an isosceles triangle is x. The length of a leg is 5x−4. The perimeter of the triangle is 102. Find x.
In the given isosceles triangle, the value of x is 10 units.
What is a triangle?A triangle is a polygon with three edges and three vertices. It belongs to the basic geometric shapes. A triangle having vertices A, B, and C is known as triangle ABC. Any three locations in Euclidean geometry that are not collinear result in a distinct triangle and a distinct plane.So, the value of 'x' will be:
Given triangle is an isosceles triangle. Then,
x + 5x - 4 + 5x - 4 = 10211x - 8 = 10211x = 102 + 811x = 110x = 110/11x = 10Therefore, in the given isosceles triangle, the value of x is 10 units.
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A cliff overlooking Lanberry Lake is experiencing erosion, losing elevation at a rate of 5%
every millennium. The cliff's current elevation is 870 meters. What will its elevation be in 6
millennia?
Answer:
882
Step-by-step explanation:
if its right then your welcome <3
What is the surface area of a cylinder with the given dimensions?
Express your answer to nearest hundredth. Use 3.14 for pi.
Diameter = 14cm.; Height = 6 cm.
Answer:
The surface area of a cylinder with the given dimensions is 571.48 \(cm^2\).
Step-by-step explanation:
To find the surface area, you need to use the formula \(2\pi r^2 + h * 2\pi r\) where \(r\) represents the radius and \(h\) represents the height. In this problem, the expression would be \(7^2 * 3.14 * 2 + 3.14*14*6\) = \(49 * 6.28 + 3.14 * 84\) = \(307.72+263.76\) = 571.48 \(cm^2\).
Helpppppppppp I need help
Answer:
she is 4 years old just divide 39 by 9
What is 17 x 5.8 SHOW YOUR WORK please send a photo of work by pressing
Answer:
98.6
Step-by-step explanation:
in photo!!
Show that cos 30 degree + sin 60 degree / 1+ sin 30 degree + cos 60 degree is equal to cos 30 degree
Answer:
cos 30
Step-by-step explanation:
cos 30 + sin 60 / 1+ sin 30 + cos 60
= root3 / 2 + root3/2 / 1 + 1/2 + 1/2
= root 6/2 by 4/2
= root 6/4
= root 3/2
= cos 30
Answer:
cos 30
Step-by-step explanation:
Approximate +√40 to the nearest hundredth.
O 10.14
O 9.47
O9.14
6.32
Answer:
6.32
Step-by-step explanation:
The sqrt(40) is between the sqrt(36) and sqrt(49). The sqrt(36) = 6 and the sqrt(49) = 7. Therefore, we know it is somewhere between 6 and 7. The only answer is 6.32.
hope this helps! <3
Answer:
9.47
Step-by-step explanation:
because 9.46559265359 rounded to the nearest hundredth is 9.47
Write the quotient and remainder when we divide (x^3 -4x^2 + 2x + 5) by (x - 2)
Answer:
Step-by-step explanation:
Sorry I can't explain how it is done. It is very difficult to explain on paper.
Mr. Lee deposited $450 into a savings account that earns 5% compound interest, compounded annually for 2 years. What is the total amount that Mr. Lee will have in his account at the end of 2 years?
Answer:
Okay, I've never learned about this before but I want to help and I think I get it. Again, I'm not very sure about this. $472.50
Step-by-step explanation:
I took one percent of 450 and mutiplied that by five to get 22.5
22.5 + 450 = 472.50 making THAT answer.
$1.68 for 8 ounces
$3.36 for 16 ounces
$3.60 for 20 ounces
$4.08 for 24 ounces
$5.44 for 32 ounces
Answer:
what do you mean by this I don't get it
For 2022, Sale Company reported beginning total assets of $300,000 and ending total assets of $340,000. Its net income for this
period was $50,000, and its net sales were $400,000.
Compute the company's asset turnover for 2022. (Round answer to 2 decimal places, e.g. 1.25.)
Asset turnover
times
The company's asset turnover for 2022 is 1.25 times.
The asset turnover ratio measures the efficiency of a company in using its assets to generate sales. The formula to calculate the asset turnover ratio is:
Asset turnover = Net sales / Average total assets
To calculate the average total assets, we add the beginning total assets to the ending total assets and divide the sum by 2:
Average total assets = (Beginning total assets + Ending total assets) / 2
= ($300,000 + $340,000) / 2
= $320,000
Now we can calculate the asset turnover ratio:
Asset turnover = Net sales / Average total assets
= $400,000 / $320,000
= 1.25
Therefore, the company's asset turnover for 2022 is 1.25 times.
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