Answer:
1 solution
Step-by-step explanation:
the equation when distributed and simplified comes out to x=21
since there is only one variable there is only one answer
Is there a proportional relationship between time and the cost of the cell phone plan? Explain how you know.
Answer:
yes, phone companies, are only allowed to charge for the amount of data you use
Step-by-step explanation:
i need help please!!
Answer:
5.75 calories per gram
Step-by-step explanation:
You just divide the y-value by the x-value to get the unit value(k). y=kx which is also y/x=k.
ALGUIEN AYUDEME POR FAVOR :( TENGO QUE ENTREGARLO EN 15 MINUTOS
Encontrar todos los lados y angulos del triangulo ABC que tiene estos datos:
A: 30 grados
B: 20cm
C: 90 grados
GRACIAS
Cody increased the amount of money he saves each week from $40 to $75. By what percentage did Cody increase the amount of money he saves?
Step-by-step explanation:
75-40= 35
\( \frac{35}{40} \times 100\% = 87.5\%\)
When do scientists use math in an experiment? How do you know?
Scientists use math in experiments when they make measurements, analyze quantitative data, and make predictions based on this data.
This is known because Math is an integral part of Science which is why both subjects ( Science and Math ) are considered STEM subjects.
How do scientists use math ?Scientists use math in an experiment to make measurements, analyze data, and make predictions.
For example, scientists use math to make precise measurements of physical quantities such as length, weight, and temperature. They also use math to perform calculations such as determining the concentration of a substance in a solution or the rate of a chemical reaction.
Scientists also use mathematical models and statistical analysis to analyze data and make predictions about the outcome of an experiment. They use mathematical equations to describe the relationships between different variables and to test hypotheses. They also use statistical techniques to determine the significance of their results and to make inferences about a larger population from a smaller sample of data.
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Name two integers with different signs that have a sum of -28
Answer:
-35 and 7
Step-by-step explanation:
7 - 35 = -28
35 has a (-) sign, and 7 has a (+) sign
Addition can be defined as the process of adding two numbers. The two integers with different signs that have a sum of -28 are -29 and 1.
What is Addition?Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.
An integer is a number that can be written without using a fractional component.
Given that the two integers with different signs have a sum of -28. Therefore, we can write,
-29 + 1 = -28-30 + 2 = -28-31 + 3 = -28-32 + 4 = -28-33 + 5 = -28-34 + 6 = -28-35 + 7 = -28Hence, the two integers with different signs that have a sum of -28 are -29 and 1.
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Someone explain why 1+1=2 in simple terms
Identify the equation of the circle that has its center at (9,12) and passes through the origin
Answer:
(x -9)^2 +(y -12)^2 = 225
Step-by-step explanation:
The equation of a circle with center (h, k) that passes through point (a, b) is ...
(x -h)^2 +(y -k)^2 = (a -h)^2 +(b -k)^2
For your given points, the equation is ...
(x -9)^2 +(y -12)^2 = (0 -9)^2 +(0 -12)^2 = 81 +144
(x -9)^2 +(y -12)^2 = 225
Two cylinders have the same volume. The first has a radius of 5cm and a height of 10 cm. The second has a radius of 10cm. The surface area of the first cylinder is and the surface area of the second i s
ANSWER
\(\begin{gathered} 1)150\pi \\ 2)250\pi \end{gathered}\)EXPLANATION
For the first cylinder;
\(\begin{gathered} r=5 \\ h=10 \end{gathered}\)Recall, the formula for calculating the surface area of a cylinder is;
\(A=2\pi rh+2\pi r^2\)Now, substitute the values for the first cylinder;
\(\begin{gathered} A=2\pi rh+2\pi r^{2} \\ =2\times\pi\times5\times10+2\times\pi\times5^2 \\ =100\pi+50\pi \\ =150\pi \end{gathered}\)The volume of the first cylinder is calculated using the formula;
\(\begin{gathered} V=\pi \cdot \:r^2\cdot \:h \\ \end{gathered}\)Substitute the values of r and h for the first cylinder;
\(\begin{gathered} V=\pi \cdot \:r^2\cdot \:h \\ =\pi\times5^2\times10 \\ =\pi\times25\times10 \\ =250\pi \end{gathered}\)To get the surface area of the second cylinder, we need to calculate the height (h).
To get the height, we use the volume of the first cylinder to get the height of the second (since they have the same volume).
Hence;
\(\begin{gathered} V=250\pi \\ r=10 \\ V=\pi r^{2}h \\ 250\pi=\pi\times10^2\times h \\ h=\frac{V}{\pi \cdot \:r^2} \\ h=\frac{250\pi }{\pi 10^2} \\ =2.5 \end{gathered}\)Substitute the height to calculate the surface area is calculated thus;
\(\begin{gathered} A=2\pi rh+2\pi r^{2} \\ =2\times\pi\times10\times2.5+2\times\pi\times10^2 \\ =50\pi+200\pi \\ =250\pi \end{gathered}\)Hey i need help with this question. I need it to be solved and I need to see the length of the diagonal. Please put a proper answer or Branly will just take the points away from you. Thanks
Answer:
x = 40.25 mStep-by-step explanation:
Use Pythagorean
x² = 36² + 18² x² = 1620x = √1620x = 40.25 mAnswer:
in right angled triangle BCD
by using Pythagoras law
P²+B²=H²
A²+B²=C²
36²+18²=x²
x=√1620=18√5m
x=18√5 m is your answer
Mrs. Collins made a scatterplot to show the relationship between the number of absences and a student’s final exam score. Based on this scatterplot, a student with 7 absences should get approximately what score on the final exam? Write only the final answer
A student with 7 absences should get approximately 126.25 score on the final exam.
Based on the given information, a student with 7 absences should get approximately 72.5 score on the final exam.
Here's the explanation:
Scatterplot: A scatterplot is a graph that displays numerical data in two dimensions, with one variable being plotted on the x-axis and the other variable being plotted on the y-axis.
Absences: The number of absences a student had. The given data is showing the relationship between the number of absences and a student’s final exam score.
According to the given scatterplot, the number of absences and the final exam score is inversely proportional. It means when the number of absences is increasing, the score in the final exam is decreasing.
Let's suppose a student got 4 absences then the final score in the exam is around 85.
Approximately Score for 4 Absences = 85
When a student has 0 absences, the score in the final exam is approximately 100.
Approximately Score for 0 Absences = 100
Therefore, there is a decrease of 15 scores in the exam when the absence increases by 4. The decrease of 15 scores is distributed equally for each absence. Therefore, for each absence the score decreases by 15/4=3.75.
We have to find out the score for 7 absences. The equation for finding the score is:y= mx + c
Where, y= score in the final exam
m= slope= 3.75
x= the number of absences
c= approximately score for 0 absence
y = mx + c (Put the value of m, x, and
c)y = 3.75 (7) + 100y = 26.25 + 100y = 126.25
Approximately score for 7 absences = 126.25
Therefore, a student with 7 absences should get approximately 126.25 score on the final exam.
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yo help me out. thanks
Answer:
Im not sure what you're supposed to solve but if you need to find what m = then its 110
Maggie baked a berry pie. The recipe called for 6 ounces of blackberries, 9 ounces of raspberries, and 5 ounces of strawberries. In the supermarket, she only found 12-ounce containers of berries. She bought 1 container of each kind of berry. After she baked the pie, how many ounces of berries did Maggie have left?
Answer:
16 berries
Step-by-step explanation:
Blackberries: 12 - 6 = 6Raspberries: 12 - 9 = 3Strawberries: 12 - 5 = 7 Now we know how many individual berries will be left: 6 blackberries, 3 raspberries, and 7 strawberries.6 + 3 + 7 = 16Consider a fractal line with fractal dimension D. The mean-square distance between monomers u and v along this line is ⟨(R(u)−R(v))2⟩=b2(v−u)2/D. Calculate the mean-square end-to-end distance R2 and radius of gyration Rg2 for this fractal line. Determine the ratio R2/Rg2 symbolically and then calculate this ratio for fractal dimensions D=1,1.7 and 2 .
The mean-square end-to-end distance for the fractal line is ⟨R2⟩ = b².L^(1-D).
The mean-square end-to-end distance for the fractal line is as follows.⟨R2⟩ = ⟨(R(u)- R(v))^2⟩ for u = 0 and v = L where L is the length of the line.⟨R2⟩ = b²/L^2.D.L = b².L^(1-D).
Thus, the mean-square end-to-end distance for the fractal line is ⟨R2⟩ = b².L^(1-D).
The radius of gyration Rg is defined as follows.
Rg² = (1/N)∑_(i=1)^N▒〖(R(i)-R(mean))〗²where N is the number of monomers in the fractal line and R(i) is the position vector of the ith monomer.
R(mean) is the mean position vector of all monomers.
Since the fractal dimension is D, the number of monomers varies with the length of the line as follows.N ~ L^(D).
Therefore, the radius of gyration for the fractal line is Rg² = (1/L^D)∫_0^L▒〖(b/v^(1-D))^2 v dv〗 = b²/L^2.D(1-D). Thus, Rg² = b².L^(2-D).
The ratio R²/Rg² is given by R²/Rg² = L^(D-2).
When D = 1, R²/Rg² = 1/L. When D = 1.7, R²/Rg² = 1/L^0.7. When D = 2, R²/Rg² = 1/L.
This provides information on mean-square end-to-end distance and radius of gyration for fractal line with a given fractal dimension.
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What is the formula for base area?
Answer:
In geometry, the formula for base area is dependent on the shape. Chart below is correct :)
Step-by-step explanation:
7.
Rewrite the expression (4x² + 5x) ²-5(4x ² + 5x) – 6 as a product of four linear factors.
Answer:
(x+2)(x+1)(4x+1)(4x-3)
Step-by-step explanation:
(4x² + 5x)² - 5(4x² +5x) - 6
= (4x² + 5x)² - 6(4x² +5x) + 1(4x² +5x) -6
= (4x² + 5x)(4x² +5x -6) +1 (4x² +5x -6)
= (4x²+5x-6)(4x²+5x+1)
= (4x² + 8x - 3x - 6)(4x² + 4x + x +1)
= (4x(x + 2) - 3(x + 2))(4x(x+1) +1(x+1))
= (x+2)(4x-3)(x+1)(4x+1)
Oceanside Bike Rental Shop charges fourteen dollars plus seven dollars an
hour for renting a bike. Tom paid forty-nine dollars to rent a bike. How many
hours did he pay to have the bike checked out ?
Answer: 5 hours
Step-by-step explanation:
49-14 = 35
35/7 = 5
A truckload of Kurt's Dirt sells for $120, but you are able to get a truckload for $90. Find the discount and the rate of discount.
The discount is $30 and the rate of discount for the truckload of Kurt's Dirt selling for $120 but bought for $90 is 25%.
What is the discount rate?The discount rate refers to the percentage of price reduction offered to retail customers.
To compute the discount rate, we first determine the amount of discount. Then the result is expressed as a percentage of the initial price before the discount.
The selling price of a truckload of Kurt's Dirt = $120
The discounted price = $90
The amount of discount = $30 ($120 - $90)
Discount rate = 25% ($30/$120 x 100).
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Which number of simulation trials would be likely to produce results that are closest to the actual probability? O A. 10 O B. 5 O C. 20 O D. 15
The number of simulation trials that would be likely to produce results that are closest to the actual probability is 20 and 15.
Hence the correct option is C and D
The following steps can be used in order to determine the number of simulations:
Remember the maximum number of trials gives the maximum chance to produce results that are closest to the actual probability.
There is no one-size-fits-all answer to the question of which number of simulation trials is best.
However, in general, a larger number of trials is likely to produce more accurate results. So, options C or D (20 or 15) may be more likely to produce results that are closest to the actual probability.
Now, check all the options given in the question and choose the largest one.
From the above steps, it can be concluded that the correct option are,
C) 20 and D 15
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What is (b+3g)a=9 please help!!!!!
Answer:
ab+3ag=9
Step-by-step explanation:
not sure what this is asking, might help? :)
in the system of equations above,k is a constant and x and y are variables. for what value of k will the system of equations have no solution?
To find the value of k for which the system of equations has no solution, we need to examine the coefficients of x and y in the equations.
The first paragraph provides a concise summary of the answer, while the second paragraph explains the solution in more detail.
For the system of equations to have no solution, the coefficients of x and y in the equations must be proportional. In other words, the ratios of the coefficients should be equal for both equations. If the coefficients are not proportional, the system will have a unique solution. Therefore, to determine the value of k for which the system has no solution, we need to examine the coefficients of x and y in the equations and find the condition where they are proportional.
In more detail, let's consider the system of equations as:
Equation 1: ax + by = c
Equation 2: dx + ey = f
For the system to have no solution, the ratios of the coefficients a/d and b/e should be equal to each other. In other words, a/d = b/e. Solving this equation will give us the condition for k that results in no solution. The specific values of a, b, d, and e will depend on the given system of equations. By finding the appropriate condition, we can determine the value of k that satisfies this requirement and leads to no solution for the system of equations.
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A small business owner contributes $2,000 at the end of each quarter to a retirement account that earns 10% compounded quarterly. (a) How long will it be until the account is worth at least $150,000? (Round your answer UP to the nearest quarter.) 43 quarters (b) Suppose when the account reaches $150,000, the business owner increases the contributions to $4,000 at the end of each quarter. What will the total value of the account be after 15 more years? (Round your answer to the nearest dollar.) $
After 15 more years of contributions of $4,000 at the end of each quarter, the retirement account will be worth approximately $760,514.47.
To calculate this, we need to use the formula for the future value of a lump sum. A lump sum is a one-time payment made at the beginning or end of a specific period. In this case, we're looking at the future value of the retirement account after 15 more years of contributions.
Using the given information, we can plug in the values and solve for FV:
PV = $150,000
Pmt = $4,000
r = 10%
n = 4 (since interest is compounded quarterly)
t = 15 years
First, we need to calculate the future value of the current investment of $150,000:
FV1 = $150,000 x (1 + 0.1/4)⁴ ˣ ¹⁵ = $548,534.24
Then, we can calculate the future value of the quarterly contributions of $4,000 over 15 years:
FV2 = $4,000 x [(1 + 0.1/4)⁶⁰ - 1] / (0.1/4) = $211,980.23
Finally, we can add FV1 and FV2 to get the total future value of the retirement account after 15 more years:
Total FV = FV1 + FV2 = $548,534.24 + $211,980.23 = $760,514.47
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correlation is measured on a scale from 0 to 1, where 0 indicates no linear relationship between two variables, and 1 indicates a perfect linear relationship. group of answer choices true false
The statement "correlation is measured on a scale from 0 to 1, where 0 indicates no linear relationship between two variables, and 1 indicates a perfect linear relationship" is true.
The correlation coefficient, typically denoted as r, is a statistical measure that quantifies the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where -1 represents a perfect negative linear relationship, 1 represents a perfect positive linear relationship, and 0 indicates no linear relationship or correlation between the variables.
A correlation coefficient of 0 means that there is no linear association between the variables being analyzed. As the correlation coefficient moves closer to 1 or -1, it indicates a stronger linear relationship between the variables. Therefore, the scale from 0 to 1 is commonly used to represent the extent of correlation, where 0 signifies no linear relationship and 1 signifies a perfect linear relationship.
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For every 8 package Chelea wrap he ue 1/2 of a roll of wrapping paper. If he ue 3 1/2 roll of wrapping paper, how many package ha he wrapped
The no: of packages Chelea wrapped is 24
What is unitary method?The unitary approach involves calculating the value of a single unit, from which we may calculate the values of the necessary number of units.
What is a unitary in math?a single state. This has an identity element in math, in an algebra. Whose inverse is equivalent to its adjoint (in mathematics, linear algebra, the mathematical study of a matrix or operator).
According to the given question
For every 8 packages the no: of roll used is 1/2
If the person used three 1/2 rolls
the no of packages he wrapped are 3*8
=24
The total no: of packages are are 24
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How many hex digits are required to represent decimal numbers up to 1,999? how many bits are required?
To determine the number of hex digits required to represent decimal numbers up to 1,999, we need to find the largest decimal number within that range and convert it to hexadecimal representation.
The largest decimal number within the range is 1,999. To convert it to hexadecimal, we divide it by 16 repeatedly until the quotient is 0, and then concatenate the remainders in reverse order.
1,999 divided by 16 gives a quotient of 124 and a remainder of 15 (F in hexadecimal representation).
124 divided by 16 gives a quotient of 7 and a remainder of 12 (C in hexadecimal representation).
7 divided by 16 gives a quotient of 0 and a remainder of 7 (7 in hexadecimal representation).
Thus, 1,999 in hexadecimal representation is 7CF. It requires three hex digits (7, C, F) to represent 1,999.
To calculate the number of bits required, we need to know the number of bits in one hex digit. Since each hex digit represents 4 bits, three hex digits would represent 3 * 4 = 12 bits.
Therefore, to represent decimal numbers up to 1,999, three hex digits are required, and it would take 12 bits.
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PLEASE I NEED HELP i really need help on this please,
Answer:
P,R,Q i think
Step-by-step explanation:
The cost for a different taxi company is expressed with the equation y = 1.65x + 2.35, where x represents the miles driven and y represents the cost per trip. If Susan takes a taxi for the 14-mile trip from the bus terminal to her house, how much will the ride cost?
$
Answer:
$25.45
Step-by-step explanation:
I just got it right on Edge 2023.
Your Overall grade is calculated by adding 35% of your Minor grade to 65% *of your Major grade. If your Minor grade is 84 and your Major grade is 61,what would your overall grade be (rounded to the nearest percentage)?A. 62B. 67C. 65D. 80E. 69
To determine the total grade we mutiply each one by the percentage it represents of the overall grade in decimal form and add them, that is:
\(84(0.35)+61(0.65)=69\)Therefore, the overall grade is 69
in a graph, the experimental variable is plotted on the multiple choice x-axis. y-axis. x- and y-axis. z-axis.
The experimental variable is plotted on the x-axis in a graph, while the y-axis represents the dependent variable or the outcome being measured in response to changes in the independent variable.
In a graph, the experimental variable is typically plotted on the x-axis. The x-axis represents the independent variable, which is the factor being manipulated or controlled by the experimenter. This variable is often plotted horizontally along the bottom of the graph.
The y-axis, on the other hand, represents the dependent variable, which is the outcome or result that is measured or observed in response to changes in the independent variable. The y-axis is typically plotted vertically along the side of the graph.
The x-axis and y-axis together form a Cartesian coordinate system, with the x-axis representing the horizontal axis and the y-axis representing the vertical axis. This allows for the representation of the relationship between the independent and dependent variables in the form of a scatter plot, line graph, bar graph, or other types of graphs.
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A farmer is constructing a rectangular pen with one additional fence across its width. Find the maximum area that can be enclosed with 480 yards of fencing.
The maximum area that can be enclosed with 480 yards of fencing. is 28,530.5 square yards.
Let the length of the rectangular pen be denoted by L and its width be denoted by W.
From the problem statement, we know that the total length of fencing available is 480 yards. We can express this as an equation:
2L + W + 2 = 480
where the additional 2 is for the fence across the width.
Simplifying this equation, we get:
2L + W = 478
We want to find the maximum area that can be enclosed with this amount of fencing. The area of a rectangle is given by:
A = L × W
We can use the equation 2L + W = 478 to solve for one of the variables in terms of the other. For example, we can solve for W:
W = 478 - 2L
Substituting this expression for W into the equation for the area, we get:
A = L × (478 - 2L)
Simplifying this expression, we get:
A = 478L - 2L^2
To find the maximum area, we need to take the derivative of this expression with respect to L, set it equal to zero, and solve for L.
dA/dL = 478 - 4L
Setting this equal to zero and solving for L, we get:
478 - 4L = 0
L = 119.5
Substituting this value of L back into the equation for W, we get:
W = 478 - 2(119.5) = 239
Therefore, the dimensions of the rectangular pen that maximize the area are:
Length = 119.5 yards
Width = 239 yards
And the maximum area that can be enclosed with 480 yards of fencing is:
A = L × W = 119.5 × 239 = 28,530.5 square yards.
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