Answer:
D. Alternate Interior Angles Converse
Edplanation:
13 ~= 12
13 altenated angle to nr.10
13 is parpendicular to nr.15 and 15 is alternate to 12
Louis built a swimming pool. The depth of the swimming pool is 5 feet. What is the volume of water that it will take to fill the swimming pool?
Answer:
For a rectangular prism-like swimming pool: \(V = w\cdot l \cdot h\). \(V = 360\,ft^{3}\) when \(h = 5\,ft\), \(l = 12\,ft\) and \(w = 6\,ft\).
Step-by-step explanation:
Let assume that swimming pool has a rectangular base and depth is the same at any point at the bottom. In addition, let \(w\) and \(l\) be the width and length of the swimming pool. Then, the volume needed to fill the swimming pool is:
\(V = w\cdot l \cdot h\), where \(h\) is the depth of the pool.
Let be \(h = 5\,ft\), \(l = 12\,ft\) and \(w = 6\,ft\). The volume of the swimming pool is:
\(V = (6\,ft)\cdot (12\,ft)\cdot (5\,ft)\)
\(V = 360\,ft^{3}\)
The perimeter of the rectangle below is 84 units. Find the length of side PQ.
Write your answer without variables.
due today please i help
The length of side PQ is 21 units.
Since the perimeter of a rectangle is the sum of all its sides, and we have the perimeter of the given rectangle as 84 units, we can use this information to find the length of side PQ.
Let's assume the length of side PQ is x units.
The given rectangle has two pairs of equal sides: PQ and RS are equal, and QR and PS are equal:
The perimeter (P) is given by:
P = 2(PQ) + 2(RS)
Since the perimeter of the given rectangle is 84 units, we can set up the equation:
84 = 2x + 2(RS)
But we also know that RS is equal to PQ, so we can replace RS with x:
84 = 2x + 2x
Now, combine the like terms:
84 = 4x
To find the value of x, divide both sides by 4:
x = 84 / 4
x = 21
So, the length of side PQ is 21 units.
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Can some pls help me with this!
THATS A LOT
Step-by-step explanation:
A consumer interest group is comparing two brands of vitamin C. One group advertises that its tablets contain 500 mg of vitamin C. The other advertises that its tablets contain 250 mg of vitamin C. Tablets for each group were selected randomly. The table below shows the results.Vitamin C Content (mg) Brand A (500 mg) x = 250s = 500Brand B (250 mg) x = 500s = 10a) Calculate the coefficient of variation (CV) for Brand A (1point) b) Calculate the coefficient of variation (CV) for Brand B (1 point) c) Which brand more consistently produces tablets as advertised? (2 points) d) Explain your answer to c) above. (1 point)
a) The coefficient of variation (CV) for Brand A, is equals to the 2.8%.
b) The coefficient of variation (CV) for Brand B, is equals to the 2.0%.
c) Brand B, is more consistently produces tablets as advertised.
We have comparing data of consumer groups of vitamin C tablets of two brands. Tablets for each group were selected randomly. Data from above table, For brand A :
Tablets contains the quantity of vitamin C = 500 mg
Sample mean = 250
Standard deviation = 7
For brand B :
Tablets contains the quantity of vitamin C = 250 mg
Sample mean = 500
Standard deviations = 10
Cofficient of variation, CV is statistical parameter and it is the ratio of the standard deviation to the mean. Formula is, Coefficient of Variation (CV)
= (Standard Deviation/Mean) × 100.
a) To calculate the coefficient of variation (CV) for Brand A = (7/250 )×100
= 2.8%
b) To calculate the coefficient of variation (CV) for Brand B = (10/500 )×100
= 2.0%
c) As we see, Cofficient of variation of advertising for brand B is less than brand A. So, Brand B more consistently produces tablets as advertised.
Hence, required brand is brand B.
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Complete question:
consumer interest group is comparing two brands of vitamin C. One group advertises that its tablets contain 500 mg of vitamin C. The other advertises that its tablets contain 250 mg of vitamin C. Tablets for each group were selected randomly. The table above shows the results.Vitamin C Content (mg) Brand A (500 mg) x = 250s = 500Brand B (250 mg) x = 500s = 10
a) Calculate the coefficient of variation (CV) for Brand A (1point)
b) Calculate the coefficient of variation (CV) for Brand B (1 point)
c) Which brand more consistently produces tablets as advertised? (2 points) d) Explain your answer to c) above. (1 point)
Ms. Van Tress has 134 students. She sees 38 students before lunch and 96 students after lunch.
What percentage of her students does she see before lunch? After lunch? (Round your answers to
the nearest whole number percent)
Answer:
\(\%Percent = 28\%\) ---- Before Lunch
\(\%Percent = 72\%\) --- After Lunch
Step-by-step explanation:
Given
\(Total = 134\)
\(Before\ Lunch = 38\)
\(After\ Lunch = 96\)
Required
Determine the percentage of students seen in both cases.
This percentage is calculated by dividing the number of students seen by the total number of students. Then multiplied by 100%
i.e
\(\%Percent = \frac{Seen}{Total} * 100\%\)
- Before Lunch;
\(\%Percent = \frac{Before\ Lunch}{Total} * 100\%\)
\(\%Percent = \frac{38}{134} * 100\%\)
\(\%Percent = \frac{3800\%}{134}\)
\(\%Percent = 28\%\) --- approximated
- After Lunch;
\(\%Percent = \frac{After\ Lunch}{Total} * 100\%\)
\(\%Percent = \frac{96}{134} * 100\%\)
\(\%Percent = \frac{9600\%}{134}\)
\(\%Percent = 72\%\) --- approximated
. Where is the vertex of the graph that represents y=(x−2)2−8 ? Type the answers in the boxes below. ( , ) b. Where is the y -intercept? Type the answers in the boxes below.
The vertex of the given equation is (0,12) and (1, -10). The value of y-intercept will be -12.
Given equation :
y=(x−2)2−8
y = 2x - 4 - 8
= 2x - 12
The final equation is y = 2x - 12.
Compare this equation with slope and y-intercept formula :
y = mx+c
So that c = -12
The value of y-intercept according to the solution is -12.
To find the vertex. Let's assume x=0; Substitute in the equation
y = 2(0) -12
y = -12
The first vertex will be (0, -12)
If x = 1; y = 2(1) -12
y = -10
Then the second vertex will be (1, -10).
Hence, the vertex of the given equation is (0,12) and (1, -10). The value of y-intercept will be -12.
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The group of individuals fitting a description is the _____
A.census
B.sample
C.parameter
D.population
The group of individuals fitting a description is called option D: Population, this is because, in statistics, a population is seen as am entire group of individuals, items, or elements that tends to have or share a common characteristics.
What is population?The term "population" describes the complete group of people or things that you are interested in investigating. It is the group of individuals or thing(s) about which you are attempting to draw conclusions.
There are infinite and finite populations. A population with a set quantity of people or things is said to be finite. An endless population is one that has an infinite amount of people or things.
Therefore, the correct option is D
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See full text below
A group of individuals fitting a description is the _____
Which of the term below fit the description above.
A.census
B.sample
C.parameter
D.population
I have 8 Twix bar that I want to share with 6 students how much of the Twix bar will each student get
Answer:
1.3
Step-by-step explanation:
8 divided by 6 = 1.3
BRAINLIEST PLEASE
Answer:
1.3
Step-by-step explanation:
Hope this helped have an amazing day!
What is the initial value of the exponential function shown on the graph?
0
1
2
4
The initial value of the exponential function shown on the graph is 2
What is the initial value of the exponential function shown on the graph?The graph that completes the question is added as an attachment
The initial value of the exponential function shown on the graph is the point where the graph crosses the y-axis
From the attached graph, the equation crosses the y-axis at point (0,2)
This is represented as:
(x, y) = (0, 2)
Remove the x value
y = 2
Hence, the initial value of the exponential function shown on the graph is 2
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Please answer this correctly
Answer:
538
Step-by-step explanation:
l x w
7x39
12x20
5x5
538
Dr. Silvers gas tank holds up to 16 7/8 gallons of gas it took 11.55 gallons of gas to fill her tank how many gallons of gas does Dr. Silva have in her tank before she filled it into your answer as a decimal or as a mixed number in simplest form in the box
Answer:
2.45 gallons
Step-by-step explanation:
1. Translate \(16\frac{7}{8}\) into a whole number or decimal number: 14.
2. We know that Dr. Silvers filled her tank with 11.55 gallons of gas, so subtract 11.55 from 14.
\(14 - 11.55 = 2.45\)
3. There were 2.45 gallons of gas in Dr. Silvers gas tank before she filled it up.
Answer: this is the correct answer:
5 13/40
Step-by-step explanation:
believe me it's correct
PLEASE I NEED HELP IN THIS
HERE IS THE PICTURE IS JUST ONE QUESTION
Answer:
f(x) = -5/9x - 11/9
Step-by-step explanation:
Consider f(x) = y
so if x = -4 => y = 1 and x = 5 => y = -4
so (-4,1) and (5,-4) should be on the same linear equation
Slope m = (y2 - y1)/(x2 - x1)
m = (-4 - 1)/(5 - -4) = (-5)/(9) = -5/9
y = mx + b
given m = -5/9, x = -4, y = 1
1 = -5/9(-4) + b
b = 1 - 20/9
b = 9/9 - 20/9 = -11/9
so y = -5/9x - 11/9
or f(x) = -5/9x - 11/9
A mixture of 13% disinfectant solution is to be made from 11 % and 19 % disinfectant solutions. How muchof each solution should be used if 16 gallons of the 13% solution are needed?
We have to find the volume of each solution to make 16 gallons of a blend of 13% disinfectant solution.
Solution A has 11% disinfectant, while Solution B has 19% disinfectant.
We can call A and B to the volume of each respective solution.
The total volume (16 gallons) is made only from solutions A and B, so the sum of their volumes is equal to the total volume.
Then, we can write:
\(A+B=16\)We can repeat this analyisis but only with the volume of pure disinfectant.
The total volume will be 0.13*16 = 2.08 gallons.
This will be made of the volume of disinfectant of solution A, which is 0.11*A, and the volume of disinfectant of solution B, which is 0.19*B.
Then, we can write:
\(0.11A+0.19B=2.08\)We can now use the first equation to express B in function of A:
\(\begin{gathered} A+B=16 \\ B=16-A \end{gathered}\)We can then replace B in the second equation and solve for A as:
\(\begin{gathered} 0.11A+0.19B=2.08 \\ 0.11A+0.19(16-A)=2.08 \\ 0.11A+3.04-0.19A=2.08 \\ (0.11-0.19)A=2.08-3.04 \\ -0.08A=-0.96 \\ A=\frac{0.96}{0.08} \\ A=12 \end{gathered}\)Now, we can calculate B as:
\(\begin{gathered} B=16-A \\ B=16-12 \\ B=4 \end{gathered}\)Answer:
Volume of 11% disinfectant solution = 12 gallons.
Volume of 19% disinfectant solution = 4 gallons.
Evaluate the numerical expression 44.
Answer:
44 or 4 double sqaure i don't understand
Which is a simplified form of the expression -4(n + 1) – (n + 2)?A.2n + 3B.-3n – 2C.-4n – 5D.-5n – 6
the answer is d. -5n - 6 :)
1. use row operations to determine whether a given matrix is invertible, and find its inverse at the same time if it is invertible
This gives the matrix [I|A]. Row operations can then be performed on the matrix to transform it into the form [I|B], where B is the inverse of A.
In order to use row operations to determine whether a given matrix is invertible and find its inverse if it is invertible, the following steps can be taken:
Step 1:
Write the given matrix with an identity matrix of the same order to its right. This gives a new matrix, [A|I].
Step 2:
Using elementary row operations, convert the matrix on the left to an identity matrix. This can be done by performing operations such as swapping two rows, multiplying a row by a nonzero constant, or adding a multiple of one row to another row.
Step 3:
The matrix on the right will now be the inverse of the original matrix if the matrix on the left was converted to an identity matrix.
If the matrix on the left cannot be converted to an identity matrix, then the original matrix is not invertible and does not have an inverse.
In this case, the matrix is said to be singular.
The process of using row operations to find the inverse of a matrix can be simplified by writing the identity matrix first and then the given matrix next to it.
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. The table below shows the cost of making a long distance call based on the length of the call. Long Distance Rates Time (minutes) Cost 5 $0.55 6 $0.62 7 $0.69 8 $0.76 9 $0.83 10 $0.90 Refer to the above table of long distance rates. Write an expression that can be used to find the cost of an n-minute long distance call, where n is at least 5 minutes.
An expression that can be used to find the cost of an n-minute long distance call, where n is at least 5 minutes is (0.55 + (n - 5) x 0.07) dollars.
Given:
Long Distance Rates Time (minutes) Cost5 $0.556 $0.627 $0.698 $0.769 $0.8310 $0.90We need to find an expression that can be used to find the cost of an n-minute long-distance call, where n is at least 5 minutes.
The cost of making a long-distance call is given for 5 minutes, 6 minutes, 7 minutes, 8 minutes, 9 minutes, and 10 minutes.
We can observe from the above table that for every increase of 1 minute, the cost increases by $0.07.
We can conclude that the cost of n minutes long-distance call is given by: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes.
Therefore, the required expression is: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes. The above expression is based on the pattern in the table provided for long-distance call rates. We can use this expression for values of n greater than or equal to 5.
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Three girls (Zeva, Abby and Jenny) went to the hair salon. Each girl had their hair styled (curly, straight, and wavy) and colored (blonde, red, and black). From the clues below, which chart correctly matches the girl, the hair style and the hair color?
1. Zeva helped the girl with the straight hair and the girl with the blonde hair figure out the tip to leave.
2. Abby helped the girl with the red hair and the girl with the blonde hair find hair accessories.
3. The girl with the blonde hair and the girl with the girl with the red wavy hair left before the girl with straight hair.
Answer:
Jenny= Blonde/Curly
Abby= Black/Straight
Zeva= Red/Wavy
Step-by-step explanation:
Answer:
IT IS C (=_=)
Step-by-step explanation:
identify whether the relationship described is linear, quadratic, exponential, or none of these. Give a reason for your conclusion.
Chenglei tracks the temperature for a particular day in September. She notices that it was 54°F at 6 a.m., 60°F at 9 a.m., 67°F at 12 p.m., 60°F at 3 p.m., and 54°F at 6 p.m.
=======================================================
Reason:
Let,
x = number of hours since midnighty = the temperature in degrees FahrenheitFrom that we can see
"54°F at 6 a.m" means we have the point A = (6,54)"60°F at 9 a.m" means we have the point B = (9,60)"67°F at 12 p.m" means we have the point C = (12,67)Now use the slope formula
\(m = \frac{y_2-y_1}{x_2-x_1}\)
and you should find
slope of AB = 2slope of BC = 7/3 = 2.33 approximatelyThe slopes don't match up. We need them to be the same number if we want the data set to be linear. The points A,B,C don't all fall on the same straight line.
This means we can rule out "linear" as one of the answer choices.
-------------------------
The temperature rising at first then falling later on seems to imply perhaps we have a parabola.
However, it's not truly parabolic. Plot the points on the same grid. Then use technology such as Desmos or GeoGebra to see that a parabola does not go through all the points. I used GeoGebra's polynomial interpolate feature.
There's a much longer method to verifying but it would take too long to write out. It involves substitution and solving a system of equations.
In short we cannot fit a true parabola to the data points.
Therefore, this data set is unfortunately not quadratic.
------------------------
Because the temperatures rise (54, 60, 67) but then fall (67, 60, 54), it suggests we cannot have an exponential function.
An exponential function either entirely increases over the entire domain, or entirely decreases. It can't do both. We consider exponential functions to be monotonic for this reason.
------------------------
Ultimately we have ruled out "linear", "quadratic", and "exponential".
There's nothing left to pick other than "none of these" as the final answer.
for questions that require a numerical answer, you may be told to round your answer to a specified number of decimal places or you may be asked to provide an exact answer. when asked to provide an exact answer, you should enter repeating decimals in their fraction form and irrational numbers such as e^5, ln(4), or V2 in their symbolic form. consider the function f(x)= e^x +1/3x a. Find f(5), Give an exact answer b. Find f(11), Give your answer rounded to 3 decimal places
The value of f(5) is e^5 + 5/3, which is exactly 150.0798257693, and the value of f(11) is e^11 + 11/3, which is approximately 59877.808.
The function is f(x)= e^x + 1/3x
To find the value of f(5), put the value of x = 5 in the function f(x)= e^x + 1/3x. Which is equal to f(5) = e^5 + 5/3.
Similarly, to find the value of f(11), put the value of x = 11 in the function f(x)= e^x + 1/3x.
Which is equal to f(11) = e^11 + 11/3
f(11) = 59874.141715198 + 3.6666666667
f(11) = 59877.808381865
f(11) ≈ 59877.808
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185.30 divided by 357.25
Answer:
0.52014035087
Step-by-step explanation:
Answer:
0.51868439468
Step-by-step explanation:
The customer service department of a company found that the relationship between the number of minutes a customer spends on hold when telephoning and the customer's level of satisfaction on a 10-point scale can be approximated by the equation y=10−0.1x
, where x
is the number of minutes on hold and y
is the level of satisfaction. What does 0.1 represent in the equation?
In the equation y = 10 - 0.1x, the coefficient 0.1 represents the slope of the line.
Define slopeit represents the rate of change of y with respect to x, which is the amount by which y changes for every unit increase in x.
In this case, the slope is negative (-0.1), which means that as the number of minutes on hold (x) increases by 1 unit, the level of satisfaction (y) decreases by 0.1 units.
In other words, the longer a customer spends on hold, the lower their level of satisfaction is likely to be. The slope is a key parameter in the equation and provides valuable information about the relationship between the two variables.
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Please help me wiht this
Answer:
Kevin
Step-by-step explanation:
What is the measure of angle DFE?
Answer:
28
Step-by-step explanation:
its vertically opposite
Answer:
28
Step-by-step explanation:
Vertical angles always have the same measure, so the measure of DFE would also be 28 degrees
John currently pays $500 monthly towards his minimum payments on his credit cards. , John now pays $350 towards the same credit cards through his debt relief program. How much does John save off his minimums after 3 months
The amount John saves off his minimums after 3 months is $450
Calculating amount savedFrom the question, we are to determine the amount John saves off his minimums after 3 months
The amount John saves off his minimums after 3 months =
($500 - $350) × 3
$150 × 3
= $450
Hence, the amount John saves off his minimums after 3 months is $450
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The ratio 28/40 is proportional to the ratio ___________.
Based on the calculations, the ratio 28:40 is proportional to the ratio 7:10.
What is ratio?Ratio can be defined as a mathematical expression that is typically used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.
In this exercise, we would determine a ratio that is proportional to the given ratio by dividing it in simplest form as follows. Thus, we would divide both sides by 4:
\(28:40 = \frac{28}{4} :\frac{40}{4} =7:10\)
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if x=3, what is Y?
x= -3,0,3,6
y= -5,-4,-3,-2
Answer:
If x = 3, then y = -2 since the corresponding value of y for x=3 is -2 in the given table.
Step-by-step explanation:
On a piece of paper, graph f(x) = (4x≤3. Then determine which answer
12 if x > 3
choice matches the graph you drew.
The graph of the piecewise function is the one in option D-
Which one is the graph of f(x)?First, we know that:
f(x) = 4 when x ≤ 3
So, we want to have a horizontal line in the left side of the graph, such that it ends in a closed circle at x = 3 (we need to have a closed circle because the symbol ≤ is used).
From the given graphs, the only one with that form is D.
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Jennifer wrote 8 poems at school and Il poems at home. She
wrote 6 more poems than Nell.
How many poems did Nell write?
Nell wrote I poems.
Answer:
Nell wrote 4 poems.
Step-by-step explanation:
8+2=10
10-6=4
4= Number of poems that Nell wrote
the sum of two number is twenty-six using x to represent the smaller of the two numbers, translate "the difference between five more then the larger number and twice the smaller number' into a variable expression. then simplify
"the difference between five more than the larger number and twice the smaller number' can be written as the expression 31 -3x.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given, the sum of two numbers is twenty-six the difference between five is more than the larger number and twice the smaller number' into a variable expression.
Since x represents the smaller of the two numbers,
Thus the larger number will be 26 - x
The expression asked above will be:
=> 5 + larger number - 2 * smaller number
=> 5 + 26 - x - 2 * x
=> 31 -3x
therefore, "the difference between five more than the larger number and twice the smaller number' can be written as the expression 31 -3x.
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