Answer:
C. f = 9
Step-by-step explanation:
→Subtract 5 from both sides:
3f + 5 = 32
- 5 - 5
_________
3f = 27
→Divide both sides by 3:
f = 9
Answer:
C f=9
Step-by-step explanation:
Trust me, I got the answer right.
need help again with a question
Answer: x = 58
Step-by-step explanation:
The angles are alternating interior angles. This means that the angles are equal.
So x = 58
What are the solutions to the system of equations composed of the line and the equation represented by the graph shown below. A (3, -2) and (4, 0) B (2, -2) and (1, 0) C (0, 4) and (3, -2) D (0, 4) and (1, 0)
The correct answer is D. The line intersects the parabola at (0, 4) and (1, 0).
Solve for x in simplest from 5=1/2(7x+4)
Answer: x = 6/7 or 0.857142
Find the volume of the rectangular prism in cubic feet. 3.4 ft 0.8ft 0.6ft "these are not the answers these are the ft of the prism
Answer:
A
Step-by-step explanation:
becaauss im smart and trust me im smart
what is the scientific method of pi
Answer:
Pi (π) is the constant used in equations to find all of the dimensions of circles and spheres
Step-by-step explanation:
Answer:
The profitability index (PI) is a measure of a project's or investment's attractiveness. The PI is calculated by dividing the present value of future expected cash flows by the initial investment amount in the project.
Step-by-step explanation:
There is a greater correlation between the IQ scores of identical twins raised together than for fraternal twins raised together. What conclusion can be drawn from this data
Answer:
This correlation simply means that, in every twin whether identical or fraternal twins, there is a relation between their IQ scores and when they are raised together.
Regarding to the test carried out, it showed that, when an identical twin is raised together, their IQ score tends to be higher in direct comparison with a fraternal twin that was raised together. That is, if the fraternal twin IQ is 100, then, the identical twin IQ is going to be above 100 (probably around 120)
Step-by-step explanation:
What’s the answer???
Which equation is y = –3x2 – 12x – 2 rewritten in vertex form? y = –3(x 2)2 10 y = –3(x – 2)2 10 y = –3(x 2)2 – 14 y = –3(x – 2)2 – 2
Considering the definition of vertex, the vertex form of y = –3x² – 12x – 2 is y=a(x+2)²+10 , where (-2,10) is the vertex of the parabola.
Vertex formThe function f(x) = ax² + bx + c
with a, b, c real numbers and a ≠ 0, is a function quadratic expressed in its polynomial form (It is so called because the function is expressed by a polynomial).
The quadratic function can be expressed by the vertex form of a quadratic equation: y=a(x−h)²+k , where (h,k)= vertex of the parabola.
The formula to find the value x of the vertex of a quadratic equation is \(x=\frac{-b}{2a}\)
To calculate the value of y of the vertex, it is necessary to find the numerical value of "x vertex" in the polynomial expression. This is:
(h,k)= (\(\frac{-b}{2a}\), \(f(\frac{-b}{2a})\))
Vertex form of y = –3x² – 12x – 2In this case:
a= -3 b= -12c= -2Replacing in the formula to find the value x of the vertex of a quadratic equation, you get:
\(x=\frac{-(-12)}{2(-3)}\)
Solving:
\(x=\frac{12}{-6}\)
x= -2
The value of y of the vertex can be calculated as:
y = –3×(-2)² – 12×(-2) – 2
Solving:
y= –3×4 – 12×(-2) – 2
y= –12 +24 – 2
y=10
Finally, the vertex form of y = –3x² – 12x – 2 is y=a(x+2)²+10 , where (-2,10) is the vertex of the parabola.
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NEED HELP FAST PLEASE!!! The perimeter of a geometric figure is the sum of the lengths of its sides. The perimeter of the pentagon (five-sided figure) on the right is 42 centimeters.
A. Write an equation for the perimeter
B. Solve the equation in part (a)
C. Find the length of each side
a. The equation of the perimeter is x + x + x + 2x + 2x = 42. Option A
b. x = 6 centimeters
c. The lengths are 6 centimeters , 6 centimeters , 6 centimeters , 12 centimeters and 12 centimeters respectively.
How to determine the perimeterIt is important to note that the formula for calculating the perimeter of a pentagon is expressed as;
Perimeter = 5a
Where: 'a' represents the length of one of its side
From the information given, we have that the perimeter of the geometrical figure is the sum of its sides.
Given the sides;
x , x , x, 2x , 2x
Now, substitute the values into the formula for perimeter
x + x + x + 2x + 2x = 42
collect like terms and add them
7x = 42
Now, make 'x' the subject of formula by dividing both sides by the coefficient of the variable 'x'
We have;
7x/7 == 42/7
x = 6 centimeters
But the length of the sides is determined by substituting the value of x as 6
x = 6 centimeters
x = 6 centimeters
x = 6 centimeters
2x = 2(6) = 12 centimeters
2x = 2(6) = 12 centimeters
Hence, the lengths are 6, 6, 6 , 12 and 12 centimeters respectively.
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The number of 5-digit numbers in which every twoneighbouring digits differ by 3 is
a. 40 b. 41 c.43 d.45 e.50
The number of 5-digit numbers in which every two neighboring digits differ by 3 is 144.
To find the number of 5-digit numbers in which every two neighboring digits differ by 3, we can start by considering the possible values for the first digit.
The first digit can be any number from 1 to 9 (since it's a 5-digit number). Let's analyze the possibilities:
If the first digit is 1, the second digit can be either 4 or 8.
If the first digit is 2, the second digit can be either 5 or 9.
If the first digit is 3, the second digit can be either 6 or 0.
If the first digit is 4, the second digit can be either 7 or 1.
If the first digit is 5, the second digit can be either 8 or 2.
If the first digit is 6, the second digit can be either 9 or 3.
If the first digit is 7, the second digit can be either 0 or 4.
If the first digit is 8, the second digit can be either 1 or 5.
If the first digit is 9, the second digit can be either 2 or 6.
After determining the possibilities for the first two digits, we can continue this pattern for the next three digits. Each digit will have two possible options, determined by the previous digit.
Hence, the total number of possibilities is obtained by multiplying the number of choices for each digit
Number of possibilities = 9 (options for the first digit) × 2 (options for the second digit) × 2 (options for the third digit) × 2 (options for the fourth digit) × 2 (options for the fifth digit)
= 9 × 2⁴
= 9 × 16
= 144
Therefore, the number of 5-digit numbers in which every two neighboring digits differ by 3 is 144.
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Which table of ordered pairs represents a proportional relationship?
Х
-3
-4
-5
y
3
2
1
0
Х
-1
-3
-5
y
1
3
5
х
-2.
4
-6
y
-5
-7
-9
ở
х
-2
-3
-4
-1
-2
Answer
The right table is the second one it presents proportional relationship
Step-by-step explanation:
The ordered pairs that represent a proportional relationship are:
X Y
-1 1
-3 3
-5 5
Option B is the correct answer.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
From table B.
X Y
-1 1
-3 3
-5 5
We can make a proportional equation as:
y ∝ x
y = kx
Now,
From the table,
(-1, 1), (-3, 3), and (-5, 5)
It is in the form of (x, y).
So,
y = kx
1 = k (-1)
k = -1
We see that,
y = -1(x)
y = -1 x 3 = -3
y = -1 x 5 = -5
This is true for table B.
Thus,
The ordered pairs that represent a proportional relationship is:
X Y
-1 1
-3 3
-5 5
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Suppose that you began a one-year study of tuberculosis (TB) in a subsidized housing community in the Lower East Side of New York City on January 1st, 2020. You enrolled 500 residents in your study and checked on their TB status on a monthly basis. At the start of your study on January 1st, you screened all 500 residents. Upon screening, you found that 20 of the healthy residents were immigrants who were vaccinated for TB and so were not at risk. Another 30 residents already had existing cases of TB on January 1st. On February 1st, 5 residents developed TB. On April 1st, 5 more residents developed TB. On June 1st, 10 healthy residents moved away from New York City were lost to follow-up. On July 1st, 10 of the residents who had existing TB on January 1st died from their disease. The study ended on December 31, 2010. Assume that once a person gets TB, they have it for the duration of the study, and assume that all remaining residents stayed healthy and were not lost to follow-up.
Using the same TB scenario, what was the case-fatality rate among residents with TB over the course of the year?
25.0%
14.3%
20.0%
None of the above
The case-fatality rate among residents with TB over the course of the year is approximately 33.3%. None of the answer choices provided (25.0%, 14.3%, 20.0%) match this calculated value, so the correct answer is "None of the above."
The case-fatality rate among residents with TB over the course of the year can be calculated by dividing the number of residents who died from TB by the total number of residents with TB at the start of the study. Let's calculate it based on the given information.
On January 1st, there were 30 residents with existing cases of TB. On July 1st, 10 of these residents died from their disease.
Case-Fatality Rate = (Number of TB deaths / Number of residents with TB) * 100%
Case-Fatality Rate = (10 / 30) * 100% ≈ 33.3%
Therefore, based on the given information, the case-fatality rate among residents with TB over the course of the year is approximately 33.3%. None of the answer choices provided (25.0%, 14.3%, 20.0%) match this calculated value, so the correct answer is "None of the above."
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also being timed help!
Answer: 4
Step-by-step explanation:
Round each amount to the nearest hundred to find a reasonable estimate of 7245 – 5680.
A. 1200
B. 1300
C. 1400
D. 1500
9514 1404 393
Answer:
D. 1500
Step-by-step explanation:
7245 rounded to the nearest hundred is 7200. (Last two digits are less than 50.)
5680 rounded to the nearest hundred is 5700. (Last two digits are 50 or more, so we round up.)
Then the estimated difference is ...
7200 -5700 = 1500 . . . . matches choice D
Answer:
the guy above me is right
Step-by-step explanation:
I. (20 points) Solve the following system using Cramer's rule: [0.2x, -0.15x₂ + x₂ = 1.4 x₁ + x₂ - 2x₂ = 0 (2x, + x₂ +5x, = 11.5
The solution to the given system of equations using Cramer's rule is \(x_1 = -14\) and \(x_2 = -14\).
To solve the given system of equations using Cramer's rule, we need to find the values of the variables \(\(x_1\) and \(x_2\)\). The system of equations can be written as:
Equation 1: \(0.2x_1 - 0.15x_2 + x_2 = 1.4\)
Equation 2: \(x_1 + x_2 - 2x_2 = 0\)
Equation 3: \(2x_1 + x_2 + 5x_3 = 11.5\)
To apply Cramer's rule, we need to find the determinants of different matrices.
First, let's find the determinant of the coefficient matrix, \(D\):
\(\[D = \begin{vmatrix} 0.2 & -0.15 \\ 1 & -1 \end{vmatrix} = (0.2 \times -1) - (-0.15 \times 1) = -0.05 + 0.15 = 0.10\]\)
Next, we'll find the determinant of the \(x_1\) matrix, \(D_1\), by replacing the \(x_1\) column in the coefficient matrix with the constant terms:
\[D_1 = \begin{vmatrix} 1.4 & -0.15 \\ 0 & -1 \end{vmatrix} = (1.4 \times -1) - (-0.15 \times 0) = -1.4\]
Similarly, we'll find the determinant of the \(x_2\) matrix, \(D_2\):
\[D_2 = \begin{vmatrix} 0.2 & 1.4 \\ 1 & 0 \end{vmatrix} = (0.2 \times 0) - (1.4 \times 1) = -1.4\]
Now, let's calculate the values of \(x_1\) and \(x_2\) using Cramer's rule:
\[x_1 = \frac{D_1}{D} = \frac{-1.4}{0.10} = -14\]
\[x_2 = \frac{D_2}{D} = \frac{-1.4}{0.10} = -14\]
Therefore, the solution to the given system of equations using Cramer's rule is \(x_1 = -14\) and \(x_2 = -14\).
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Can anyone help Me with this?
Answer:
Mean is 13.5
Median is 10
Step-by-step explanation:
Answer:
Mean: 13.5
Medain: 10
3940 divded by 9 help pls
Answer:
The result can be shown in multiple forms.
Exact Form:
3940939409
Decimal Form:
437.¯7437.7‾
Mixed Number Form:
43779
Step-by-step explanation:
Hope this helps, If it did, then I would really appreciate it if you gave me Brainliest, I only need one more to rank up and it has taken forever to get to where I am currently. Thanks.
Jimmy earns a gross income of $2,500 every two weeks. deductions from each paycheck include insurance, retirement, and taxes, which total $1,000. starting with his next paycheck, his insurance will increase by $50. what conclusion can be drawn about his income with this change?
The conclusion that can be drawn from Jimmy's income with the change in insurance is that Jimmy's net income would decrease.
What happens to net income when expenses rise ?When expenses rise, net income will decrease. Net income is calculated by subtracting expenses from gross income, so if expenses increase, the amount of net income will decrease.
This means that with the increase in insurance by $ 50, Jimmy can expect that his net income would decrease by a total amount of $ 50 which is the amount the insurance increased by.
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For the list {12, 15, 13, 20, 23, 27, 25, 36, 40}, how many elements will be compared to find 25 using linear search
7 elements will be compared to find 25 using linear search
What is linear search?A linear search, also known as a sequential search, is a technique used in computer science to locate an element inside a list.Up until a match is discovered or the entire list has been searched, each element of the list is successively checked.In worst-case linear time, a linear search performs at most n comparisons, where n is the length of the list.A linear search has an average case of n+1/2 comparisons if each element is equally likely to be searched, but the average case can be impacted if the search probability for each element differ.Since other search algorithms and schemes, such the binary search algorithm and hash tables, provide substantially faster searching for all but short lists, linear search is rarely practical.To learn more about linear search with the given link
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pls check and see if i'm wrong
Answer:
I think you are right.Because im sure
Elena loves to go fishing. Each time she catches a fish, there is a 70\%70%70, percent chance that it is a northern pike and a 30\%30%30, percent chance it is a walleye. Let XXX be the random variable that represents the number of northern pike Elena gets if she catches 222 fish.
Complete question :
Elena loves to go fishing. Each time she catches a fish, there is a 70, percent chance that it is a northern pike and a 30, percent chance it is a walleye. Let X be the random variable that represents the number of northern pike Elena gets if she catches 2 fish. Find the expected value of the number of Northern pikes Elena catches
Answer: 1.4
Step-by-step explanation:
P(Northern pike) = 0.7
P(walleye) = 0.3
If 2 fishes are caught :
Number of northern pike (x) :
X = 0
P(walleye 1 st) * p(walleye 2nd) = (0.3 * 0.3) = 0.09
X = 1
P(walleye 1st)*P(Northern pike 2nd) OR P(Northern pike 1st)*P(Walleye 2nd)
= (0.3 * 0.7) + (0.7 * 0.3)
= 0.21 + 0.21
= 0.42
P(x = 2)
P(northern pike 1st) * P(northen pike 2nd)
0.7 *0.7 = 0.49
X: ______ 0 _____ 1 _______ 2
P(x): ___ 0.09 ___ 0.42 ____ 0.49
Expected value of northern pikes :
(0* 0.09) + (1 * 0.42) + (2 * 0.49)
0 + 0.42 + 0.98
= 1.4
Answer:
0.6
Step-by-step explanation:
SOLVE AND SHOW WORK PLSSSS!! Find the length of the missing sides. Do not round (leave in simplified radical form).
Answer:
For the first triangle the missing sides are 7 and 7√2 For the second triangle,the missing sides are 13√3 and 13
Step-by-step explanation:
For the first triangle,
cos(45°)=7/hypotenuse
hypotenuse×cos45=7
hypotenuse×√2/2=7
hypotenuse=14/√2=7√2
We can now find the adjacent side using Pythagorean theorem,
√(7√2)²-7²=7
For the second triangle,
cos(30°)=adjacent/hypotenuse
but cos 30=√3/2
√3/2=adjacent/26(cross multiply and simplify)
26√3/2=13√3
To find the opposite length,
√(26)²-(13√3)²=13
The history museum charges a $30 fee plus $12 per student for a field trip.
The aquarium charges a $40 fee plus $10 per student. The lines in the graph
represent the cost of each field trip.
For what number of students will the total cost of each field trip be the same,
and what will that cost be?
Field Trip Costs
y = 40 + 10x
Cost ($)
120
140
100
90
80
70
60
50
40
30
20
10
y = 30 + 12x
1 2 3 4 5 6 7 8 9 10 11 12
Number of students
Answer:
5 students; $90
Step-by-step explanation:
A-P-E-X
PLEASE HELP ME PUT THESE WHERE THEY GO ILL GIVE BRAINLIESST
Answer:
volume of rectangular prism: 8 x 4 x 11= 352
volume of triangular prism: 4 x 8 x 7= 224/2= 112
Volume of composite figure: 352 + 112= 464
Answer:
see explanation
Step-by-step explanation:
volume of rectangular prism = lbh ( l is length, b is breadth, h is height )
Here l = 11, b = 8 , h = 4
V = 11 × 8 × 4 = 352 ft³
volume of triangular prism = Al ( A is area of triangular end and l is its length )
A = \(\frac{1}{2} \) bh ( b is base and h is height )
Here b = 8, h = 4 and l = 7
A = \(\frac{1}{2} \) × 8 × 4 = 4 × 4 = 16 ft² , then
V = 16 × 7 = 112 ft³
volume of composite figure = 352 + 112 = 464 ft³
2. Consider the matrix equation V' = [M10]v where 1 M= 5 4 3 3 8.5 and M10 - 5ło ( 83')( 1 8%)(: 3:)...(43) 10 instances
(a) Solve for v = (X', y') when v= (1,1). (b) Calculate the ratio y'/x'. (c) How does your answer to (b) compare to yı/21 and y2/22 from the components of the eigenvectors Vị and v2 of the matrix M? (d) Using a discrete phase portrait and words, explain why close association between y' /x' and eigenvalue ratios for M that you found in part (c) makes sense.
a. The v = (x', y') can be solved as (19, 11.5).
b. The ratio y'/x' is 0.605
c. The eigenvalues of the matrices M's eigenvectors v1 and v2 are 10 and 3, respectively.
d. The discrete phase portrait illustrates the system's temporal evolution under various initial conditions. The system evolves without changing shape according to the eigenvectors of the matrix M. (i.e., the system is stretched or compressed, but not rotated). The system's rate of evolution in each direction is shown by the eigenvalue ratios.
(a) To solve for v = (x', y') when v = (1, 1), we need to solve the matrix equation V' = [M10]v. We have:
[M10]v = Mv + 10(1,0)
= (5x + 4y + 10, 3x + 8.5y)
= (5 + 4 + 10, 3 + 8.5) = (19, 11.5)
Therefore, v = (x', y') = (19, 11.5).
(b) The ratio y'/x' is y'/x' = 11.5/19 = 0.605.
(c) The eigenvectors v1 and v2 of the matrix M correspond to the eigenvalues λ1 = 10 and λ2 = 3. The components of v1 and v2 are:
v1 = (1, -1) and v2 = (2, 3)
The ratio of the second component to the first component of v1 is -1/1 = -1, and the ratio of the second component to the first component of v2 is 3/2 = 1.5. These ratios are not equal to the ratio y'/x' = 0.605 that we found in part (b).
(d) The discrete phase portrait shows how the system evolves over time for different initial conditions. The eigenvectors of the matrix M are the directions in which the system evolves without changing shape (i.e., the system is stretched or compressed, but not rotated).
The eigenvalue ratios tell us how fast the system evolves in each direction. If the ratio y'/x' is close to the eigenvalue ratio for one of the eigenvectors, it means that the system evolves faster in that direction than in the other direction.
This makes sense because the eigenvectors and eigenvalues tell us about the behavior of the system in the long run, while the ratio y'/x' tells us about the behavior of the system for a specific initial condition. If the initial condition is close to one of the eigenvectors, it makes sense that the system would evolve faster in that direction.
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Write an equation in standard, point-slope, and slope-intercept form for a line with the given slope and point.
slope = 3 and (1,4)
Answer:
Standard Form: 3x - y = -1
Point-Slope Form: 3x-y+1=0
Slope-Intercept Form: y= 3x + 1
Most engaged couples expect or at least hope that they will have high levels of marital satisfaction. However, because 54% of first marriages end in divorce, social scientists have begun investigating influences on marital satisfaction. (Data Source: These data were obtained from the National Center for Health Statistics. ) Suppose a counseling psychologist sets out to look at the role of having children in relationship longevity. A sample of 78 couples with children score an average of 51. 1 with a sample standard deviation of 4. 7 on the Marital Satisfaction Inventory. A sample of 94 childless couples score an average of 45. 2 with a sample standard deviation of 12. 1. Higher scores on the Marital Satisfaction Inventory indicate greater satisfaction.
Suppose you intend to conduct a hypothesis test on the difference in population means. In preparation, you identify the sample of couples with children as sample 1 and the sample of childless couples as sample 2. Organize the provided data by completing the following table:
To organize the provided data, we can create a table comparing the samples of couples with children (sample 1) and childless couples (sample 2) as follows:
Sample Sample Size Sample Mean Sample Standard Deviation
1 78 51.1 4.7
2 94 45.2 12.1
In this table, we have listed the sample number (1 and 2), the sample size (number of couples in each group), the sample mean (average Marital Satisfaction Inventory score), and the sample standard deviation (measure of variability in the scores) for each group. This organization allows us to compare the data and proceed with hypothesis testing on the difference in population means between the two groups.
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not every linearly independent set in set of real numbers r superscript ℝn is an orthogonal set. T/F?
The given statement is true.
Consider linearly independent vectors of \(R_{n}\)
Where n = 2
\(V = \[\begin{array}{ccc}4&\\2\end{array}\right]\)
\(U = \[\begin{array}{ccc}5&\\6\end{array}\right]\)
Now product of these vectors
UV = 4x5 + 2x6
= 32
Hence these vectors are not orthogonal.
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3x - 7x + 4 < 10 - 12
Answer:
x > 3/2
Step-by-step explanation:
Answer: x > 1.5
Step-by-step explanation:
Subtract 4 to both sides, which would give you:
3x - 7x < 10 - 12 + 4
Next, solve 3x - 7x, which would give you:
-4x < 10 - 12 - 4
After that, add 10, -12, and -4, which gives you:
-4x < -6
Finally, divide -4 from both sides, which would give you:
x > 1.5
Me ayudan con esto? y la explicación, xfa <3
X − 4 = 5 − 2X
Answer:
The answer is x=3......…...…....…........….…………
Answer:
La respuesta sería 1
Step-by-step explanation:
x = 3
3 – 4 = 1
5 – 2 × 3 = 1