Answer:
y=4x is the answer
Step-by-step explanation:
Find the most general real-valued solution to the linear system of differential equations.
To provide a general real-valued solution to a linear system of differential equations, specific equations need to be provided. Without the specific equations, it is not possible to determine the exact solution.
In general, a linear system of differential equations can be written in matrix form as follows:
dY/dt = AY,
where Y is a vector of functions, t is the independent variable, and A is a constant matrix.
To solve this system, one can use methods such as matrix diagonalization, eigenvalues, and eigenvectors, or the method of variation of parameters. These methods allow you to find the general solution of the system, which represents a family of solutions that satisfy the given equations.
It is important to note that the specific form of matrix A and the initial or boundary conditions if provided, will determine the exact solution to the system of differential equations.
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Express the form 1:n
Give n as a decimal
20 : 4
Answer:
1 : 0.2 is the answer I think
A scale on a map shows that 1 inch = 25 miles. How many inches on the map represent 100 miles? *
Answer:
4 inches
Step-by-step explanation:
Every 25 miles the map shows 1 inch
100 miles is equal to 4 x 25 miles, thus 100 miles on the map will be 4 times longer than 1 inch => 4 inches
Think of a vending machine on campus. The vending machine has a coin collector that should be emptied regularly. In the past, the vending machine company emptied the coin collector every 14 days, and recorded the weight of the coin collector when it is emptied. In the past 100 visits, the average weight of the coin collector was 22 pounds and the standard deviation was 8.
If the coin collector is full, the vending machine is unusable. But emptying the collector is also an expense. The company finds that it is optimal to empty a coin collector when it weighs 20 pounds. The company wants to test the following hypotheses:
Null hypothesis: the mean weight of the coin collector emptied every 14 days is 20 pounds.
Alternative hypothesis: the mean weight of the coin collector emptied every 14 days is not 20 pounds.
Find the t-statistic of the test, and determine if the null hypothesis is rejected at the significance level of 5%. (Round the t-statistic to the second decimal place.)
a. t-statistic is 2, so the null hypothesis is not rejected.
b. t-statistic is 1.25, so the null hypothesis is not rejected.
c. t-statistic is 2, so the null hypothesis is rejected.
d. t-statistic is 2.5, so the null hypothesis is not rejected
e. t-statistic is 1.25, so the null hypothesis is rejected.
f. t-statistic is 2.5, so the null hypothesis is rejected.
The null hypothesis is rejected at the significance level of 5%. (Round the t-statistic to the second decimal place.)- t-statistic is 2.5, so the null hypothesis is rejected.
Hypothesis
In statistics, hypothesis testing is used to identify the variance in the group of data that results from genuine variation. Based on the presumptions, the sample data are taken from the population parameter. The hypothesis can be divided into many categories. A hypothesis is described in statistics as a formal statement that explains the relationship between two or more variables belonging to the specified population.
It aids the researcher in converting the stated issue into an understandable justification for the study's findings. It provides examples of various experimental designs and guides the investigation of the research procedure.
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Find the value of x in the trapezoid
Please help me fast I’ll give you Brainly if it’s right
Answer: 9.95
Step-by-step explanation:
in similar trapezoids a rearranged formula can be used to solve for the missing base:
\(c^{2} =ab\) ⇒ \(c=\sqrt{ab}\)
a = the top of the trapezoid
b= the base of the trapezoid
c = the missing base
\(c=\sqrt{(9)(11)}\)
\(c = 9.949\)
Is the line x = 1 - 2t, y = 2 + 5t, z = -3t parallel to the plane 2x + y - z = 8? Give reasons for your answer.
No, the line x=1-2t, y=2+5t, z=-3t is not parallel to the plane 2x+y-z=8 as their dot product is not zero.
To determine if the line x = 1 - 2t, y = 2 + 5t, z = -3t is parallel to the plane 2x + y - z = 8, we can find the direction vector of the line and check if it is orthogonal to the normal vector of the plane.
The direction vector of the line is given by the coefficients of t in each component, which is (-2, 5, -3).
The normal vector of the plane is given by the coefficients of x, y, and z in the plane's equation, which is (2, 1, -1).
To check if the direction vector is orthogonal to the normal vector, we can take their dot product and see if it is zero:
(-2, 5, -3) * (2, 1, -1) = -4 + 5 + 3 = 4
Since the dot product is not zero, the direction vector of the line and the normal vector of the plane are not orthogonal, which means the line is not parallel to the plane.
The line x = 1 - 2t, y = 2 + 5t, and z = -3t is not parallel to the plane 2x + y - z = 8, hence the answer is no.
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help me write and solve an equation for area
Answer:
Equation:
3(x + 4) = 4x
Solution:
x = 12
Step-by-step explanation:
These two shapes are rectangles. The area of a rectangle is:
Area = length×width
Area of the first rectangle is:
Area = 3(x+4)
The area of the second rectangle is:
Area = 4x
They asked us to make these two areas equal to each other.
3(x + 4) = 4x
To solve, use distributive property.
3x + 12 = 4x
subtract 3x from both sides.
12 = x
If x is 12 the first rectangle is a 3 × 16 rectangle. The area is 48.
And, the second rectangle is a 4×12 rectangle. So that area is also 48.
When x = 12, the areas are the same.
hElp Me PLaesssssssssssssssssssssssssssss
A big box retailer has one order for 9 plants and 6 bushes with a cost of $390. There is a second order for 7 plants and 8 bushes with a cost of $400. Which system of equations can be used to determine the price of a plant, p, and the price of a bush, b? 7p+8b=3909p+6b=400 9p+6b=3907p+8b=400 7p+9b=3906p+8b=400 9p+8b=3907p+6b=400
Answer:
OK, here you go.. this is the correct answer. Hope this helps!(very helpful for k12 students)
Step-by-step explanation:
9p+6b=390
7p+8b=400
those are the answers bolded
Divide. (−15)÷(−45) What is the quotient? Enter your answer as a simplified fraction in the box.
PEAESSS DO IT?!!!! HELP
Answer:0.33
Step-by-step explanation:
I used a calculator
Explain how to determine the zeros of f(x)=(x+3)(x-1)
Answer:
x= -3, x = 1
Step-by-step explanation:
Zeros are values of x, when f(x) = 0.
0=(x+3)(x-1)
x+3 = 0, x - 1=0
x= -3, x = 1
Answer:
x = -3, x = 1
Step-by-step explanation:
To determine the zeroes of the factored quadratic equation, we need to look back at its definition. The zeroes are a function are specific x-values that result in a y-value of 0.
In this case, we want the numbers inside of the parantheses to equal 0. If we substitute in x = -3, we get (0)(x - 1), and we know that is just 0. Similarly, if we substitute in x = 1, we get (x + 3)(0), and we know that is just 0.
As such, these are your solutions.
In new York, the federal reserve gold vault is located at a depth of -80 feet below ground. the treasure at oak island is believed to at a depth of -134 feet which is farther below ground the gold vault or the oak island treasure.which is farther below ground the gold vault or the oak island treasure
Answer:
oak island treasure is deeper in the ground
Can someone please answer question 4 for me.
Answer:
B figure 1 and 3
Step-by-step explanation:
they are the same identical thing but different sizes
When calculating the effective rate of a loan, which statement or statements must be true if n is equal to 1? I. The nominal rate equals the effective rate. II. The length of the loan is exactly one year. III. The interest is compounded annually. A. I and III b. II and III c. I only d. III only.
The correct statement is, ''The nominal rate equals the effective rate'' and it can be determined by using properties of Annual Percentage Rate.
Given that,
When calculating the effective rate of a loan,
We have to determine,
Which statement or statements must be true if n is equal to 1?
According to the question,
Effective Interest Rate;When calculating the effective rate of interest of a loan, the nominal rate of interest will be equal to the effective rate, and the interest is compounded annually in the event that n is equal to 1.
If the duration of the loan, n, is 1 then the nominal rate and the effective rate will always be equal. Moreover, the interest rate charged on the loan is usually stated as an Annual Percentage Rate (APR) of charge compounded annually.
1. The nominal rate equals the effective rate.
The nominal interest rate does not take into account the compounding period, while the effective rate does.
Therefore, the statement is true.
2. The length of the loan is exactly one year.
The length of the loan may or may not exactly be 1 year, because, in n = 1, n may be quarterly or yearly.
Therefore, this statement is not true.
3. The interest is compounded annually.
The length of the loan may or may not exactly be 1 year, because, in n = 1, n may be quarterly or yearly.
Therefore, this statement is not true.
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Answer:
A) I-III
Step-by-step explanation:
help
Give the growth factor that corresponds to 261% growth. Enter the exact answer. The growth factor is i
The growth factor that corresponds to 261% growth is approximately 3.61.
A growth factor represents the multiplier that is applied to the original value to achieve a certain level of growth. In this case, we want to determine the growth factor that corresponds to a 261% increase. To find the growth factor, we divide the final value by the original value.
Let's assume the original value is represented by 'x'. If we increase 'x' by 261%, the final value would be 2.61 times 'x' (261% can be written as a decimal as 2.61). Therefore, we can set up the equation:
2.61x = Final Value
To find the growth factor, we divide the final value by the original value:
Growth Factor = Final Value / Original Value
= (2.61x) / x
= 2.61
Hence, the growth factor that corresponds to 261% growth is approximately 3.61. This means that the final value is 3.61 times the original value, indicating a growth of 261%.
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A school has a ratio of girls to boys as follows:
6:5
What fraction of the school is girls
Answer:
6/11
Step-by-step explanation:
The ratio says that, for every 6 girls, there are 5 boys.
For every 6 girls, there are 6 + 5 = 11 students.
So the fraction of girls is
6/11
Find the Volume of the Cuboid whose Length , Breadth and Height are 25 cm , 20 cm and 15 cm .
Question :-
Find the Volume of the Cuboid whose Length , Breadth and Height are 25 cm , 20 cm and 15 cm .Answer :-
Volume of Cuboid is 7500 cm³ .\( \rule {210pt} {2pt} \)
Given :-
Length of Cuboid = 25 cmBreadth of Cuboid = 20 cmHeight of Cuboid = 15 cmTo Find :-
Volume of Cuboid = ?Solution :-
As per the provided information in the given question, Length of Cuboid is 25 cm . Breadth is given 20 cm . Height of Cuboid is given 15 cm . And , we have been asked to calculate the Volume of Cuboid .
For calculating the Volume , we will use Formula :-
\( \bigstar \: \: \boxed {\sf { \: Volume \: _{Cuboid} = Length \times Breadth \times Height \: }} \)
Therefore , by Substituting the given values in the above Formula :-
⇒ Volume = Length × Breadth × Height
⇒ Volume = 25 × 20 × 15
⇒ Volume = 500 × 15
⇒ Volume = 7500
Hence :-
Volume = 7500 cm³ .\( \underline {\rule {210pt} {4pt}} \)
⇒ Volume = Length × Breadth × Height
⇒ Volume = 25 × 20 × 15
⇒ Volume = 500 × 15
⇒ Volume = 7500
If (x+1/x)²=15 then x²+1/x²=?
Answer: \(x^{2} + \frac{1}{x^{2}} = 13\)
Have attached the solution, hope that helps...
Please help me I’m struggling awnser a fraction in simplest form
Answer:
the answer is 4
the slope would be 4/1 which simplifies to 4
Answer:
m=1/4
Step-by-step explanation:
When counting from your first point, you could think of it like this:
"up 1 over 4"
1/4
HTH :)
help pls pls help lolll
Answer:
110
Step-by-step explanation:
2x+13+3x+57=180
5x+70=180
180-70=110
Answer:
x = 110 degrees
Step-by-step explanation:
Add up all the angles ( y = 180 )
2x + 13 + 3x + 57 = 180
Simplify
5x + 70 = 180
180 - 70 = 110
HELP !!!! HELP ASAPPPP
Determine if the relation is a function and explain your reasoning.
Day of the week Whether I went for a walk
Monday
No walk
Tuesday
Walked
Wednesday
No walk
Thursday
Walked
Friday
No walk
Saturday
Walked
Sunday
Walked
O The relation is a function because all of the input values have different output values.
O The relation is not a function because the output value Walking has different input values, and the same with No walk.
O The relation is not a function because some of the input values have different output values.
O The relation is not a function because there are 7 different input values.
Is the relation a function and explain your reasoning: B. The relation is not a function because the output value Walking has different input values, and the same with No walk.
How to determine whether or not the relation represent a function?In Mathematics, a function is generally used for uniquely mapping an independent value (domain or input variable) to a dependent value (range or output variable).
This ultimately implies that, an input value (domain) represents the value on the x-coordinate of a cartesian coordinate while a dependent value (range) represents the output value on the y-coordinate of a cartesian coordinate.
Based on the table, we can logically deduce that the relation does not represent a function because each of its input value (domain) has more than one dependent value (range) i.e Walked and No Walk.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Raheem found a worm that was 6 centimeters long what is the length of the worm in in millimeters
Answer:
60 millimeters
Step-by-step explanation:
1 centimeter is 10 milimeters. So, 6 centimeters is 60 millimeters.
*please mark brainliest*
Evaluate the expression. 3.14(7)² =
Answer:153.86
Step-by-step explanation:
Using the frequency table below
Answer:
50%
Step-by-step explanation:
if you look below girls (in total) bought 100 pepsi colas and thats half of the total (200)
Please help I don’t know what to
Answer:
80% of 10 is 8 lol
Step-by-step explanation:
lol this was easy
answer quick please show work!! plss
the total cost of the clarinet, including shipping and handling, is $600.
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Given, Jordan bought a clarinet priced at $517. Shipping and handling cost an additional 16% of the price.
The cost of shipping and handling is 16% of the price of the clarinet, which is:
0.16 * $517 = $82.72
the total cost of the clarinet including shipping and handling, we need to add the cost of the clarinet and the cost of shipping and handling:
Total cost = $517 + $82.72 = $599.72
Rounding this to the nearest dollar, we get:
Total cost = $600
Therefore, the total cost of the clarinet, including shipping and handling, is $600.
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The ABC company has earned a total profit of -$1312. 5 since it was founded 2. 5 years ago. What is the average annual profit for the ABC company?
The ABC company has earned a total profit of -$1312.5 over a period of 2.5 years. To calculate the average annual profit, we divide the total profit by the number of years.
To find the average annual profit for the ABC company, we need to determine the profit earned per year on average. Since the company has been in operation for 2.5 years and has a total profit of -$1312.5, we divide the total profit by the number of years.
The average annual profit is calculated by dividing the total profit by the number of years:
Average Annual Profit = Total Profit / Number of Years
In this case, the total profit is -$1312.5 and the number of years is 2.5. Plugging these values into the formula, we have:
Average Annual Profit = -$1312.5 / 2.5
After performing the calculation, we find that the average annual profit for the ABC company is -$525. This means that, on average, the company has been experiencing a loss of $525 per year since its founding.
It is important to note that a negative average annual profit indicates that the company has been operating at a loss on average. This information provides insight into the financial performance of the ABC company over the given time period.
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The owners of a smoothie shop want the price of each size smoothie to be proportional to the amount of liquid it contains. A small smoothie will be 16 fluid ounces and sell for $3.52
Answer:
?
Step-by-step explanation:
Whats the question?
The proportionality constant if, A small smoothie will be 16 fluid ounces and sell for $3.52 is 22.
What is proportionality?When the corresponding elements of two numerical sequences, frequently experimental data, have a fixed ratio, this is referred to as the coefficient of proportionality, and the two sequences are said to be proportional or directly proportional.
Given:
A small smoothie will be 16 fluid ounces and sell for $3.52,
Convert the price of the smoothie in cents as shown below,
The price of a smoothie = 3.52 × 100 ($1 = 100 cents)
The price of a smoothie = 352 cents
Calculate the proportionality constant as shown below,
The proportional constant = Fluid / price
The proportional constant = 352 / 16
The proportional constant = 22
Thus, The proportional constant is 22.
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The complete question is: The owners of a smoothie shop want the price of each size smoothie to be proportional to the amount of liquid it contains. A small smoothie will be 16 fluid ounces and sell for $3.52. Find the proportionality constant.
Use the given inverse of the coefficient matrix to solve the following system.
7x1 + 3x2 = 9
-6x1 - 3x2 = 2
A^(-1) = {1 1}
{-2 -7/3}
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. x1 = and x2 =
(Simplify your answers.) B. There is no solution.
The solution to the system of equations is x1 = 3 and x2 = -1.
We are given the inverse of the coefficient matrix, so we can use it to solve the system of equations. The inverse of the coefficient matrix is:
```
A⁻¹ = [1 1
-2 -7/3]
```
We can multiply the inverse of the coefficient matrix by the column vector of constants to get the solution vector. The column vector of constants is:
```
b = [9
2]
```
Multiplying these two vectors, we get:
```
A⁻¹ * b = [1 1
-2 -7/3] * [9
2] = [3
-1]
```
Therefore, the solution to the system of equations is x1 = 3 and x2 = -1.
To see this, we can substitute these values into the original system of equations. We get:
```
7 * 3 + 3 * (-1) = 9
-6 * 3 - 3 * (-1) = 2
```
Simplifying both sides of these equations, we get:
```
9 = 9
-12 + 3 = 2
```
As we can see, both equations are satisfied. Therefore, x1 = 3 and x2 = -1 is the solution to the system of equations.
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The quotient of (x^5-3x³-3x²-10x +15) and (x²-5) is a polynomial. What is the quotient?
x^5-3x³-2x² - 10x + 10
x^7-8x^5-3x^4 + 5x³ + 30x² + 50x - 75
x³ + 2x-3
x^5-3x³-4x² - 10x + 20
The quotient, given the polynomial, can be found to be C. x³ + 2x-3
How to find the quotient ?To find the quotient of (x^5 - 3x^3 - 3x^2 - 10x + 15) and (x^2 - 5), we can perform polynomial long division.
x^2 - 5 | x^5 - 3x^3 - 3x^2 - 10x + 15
- (x^5 - 5x^3)
________________________
2x^3 - 3x^2 - 10x
- (2x^3 - 10x)
________________________
2x^2 - 20x + 15
- (2x^2 - 10)
________________________
-15x + 25
- (-15x + 75)
________________________
-50
The quotient is x^3 + 3x^2 - x - 3 with a remainder of -50. Since we were asked for the quotient as a polynomial, we can ignore the remainder. Therefore, the quotient is:
x^3 + 3x^2 - x - 3
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