Answer: answer is in the ss i put
Source:trust me bro
The senior class has 412 students. They are assigned to different homerooms. There are 28 students in the smallest homeroom and the remaining 12 homerooms have the same number of students. How many students are in each of remaining 12 homerooms?
Just give me the equation.
Answer:
There are 32 students in the other 12 homerooms.
Step-by-step explanation:
32x12=384
384+28=412
Full equation: 32x12=384 28=412
3) Is the following a function?
(-4, 10) (10,-6) (8, 10) (2,-9) (0,7)
Answer:
Yes
Step-by-step explanation:
A function is when there is no two of the same domain.
The Domain is the first coordinate which is x.
Hope This Helps :)
Answer:
No
Step-by-step explanation:
No, this is not a function beacuse - 4 and 8 both have the same image 10 and a function is a relation in which every element has one image but this condition doesn't satisfy the definition. So, it is not a function.
a sign in the elevator of a college library indicates a limit of 16 persons. in addition, there is a weight limit of 2,500 pounds. assume that the average weight of students, faculty, and staff at this college is 155 pounds, that the standard deviation is 29 pounds, and that the distribution of weights of individuals on campus is approximately normal. a random sample of 16 persons from the campus will be selected.
The probability that a randomly selected group of 16 individuals from the campus will be selected is 0.8023 or 80.23%
Based on the sign in the elevator of the college library, the limit of 16 persons and weight limit of 2,500 pounds need to be adhered to. To ensure compliance with both limits, we need to consider both the number of people and their weight.
Assuming that the distribution of weights of individuals on campus is approximately normal with an average weight of 155 pounds and a standard deviation of 29 pounds, we can use this information to estimate the total weight of a group of 16 randomly selected individuals.
The total weight of a group of 16 individuals can be estimated as follows:
Total weight = 16 x average weight = 16 x 155 = 2480 pounds
To determine if this total weight is within the weight limit of 2,500 pounds, we need to consider the variability in the weights of the individuals. We can do this by calculating the standard deviation of the total weight using the following formula:
Standard deviation of total weight = square root of (n x variance)
where n is the sample size (16) and variance is the square of the standard deviation (29 squared).
Standard deviation of total weight = square root of (16 x 29^2) = 232.74
Using this standard deviation, we can calculate the probability that the total weight of the group of 16 individuals is less than or equal to the weight limit of 2,500 pounds:
Z-score = (2,500 - 2,480) / 232.74 = 0.86
Using a standard normal distribution table or calculator, we can find that the probability of a Z-score less than or equal to 0.86 is approximately 0.8023.
Therefore, the probability that a randomly selected group of 16 individuals from the campus will comply with both the number and weight limits in the elevator of the college library is approximately 0.8023 or 80.23%.
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Consider function f and g
f(x)=x^2+7x
g(x)=3x-1
what is the value of (f•g)(x)
9514 1404 393
Answer:
B. 9x² +15x -6
Step-by-step explanation:
The composition operator means that function f is applied to function g:
\((f\circ g)(x)=f(g(x))=f(3x-1)\\\\=(3x-1)^2+7(3x-1)\\\\=9x^2-6x+1+21x-7\\\\\boxed{(f\circ g)(x)=9x^2+15x-6}\qquad\textbf{matches B}\)
A mathematics teacher wanted to see the correlation between test scores and homework. The homework grade (x) and test grade (y) are given in the accompanying table. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the projected test grade, to the nearest integer, for a student with a homework grade of 68.
Answer:
add to the x and y hyujfti
There is a pair of parallel sides in the following shape. 4 4 6
20 units²
Step-by-step explanation:\(Becanse\ simple\ form:\)
\(S=(4+6)\times4\times\frac{1}{2}\)
\(=10\times 2\\ =20\ units\ ^2\)
\(algorithm\ rule)\)
I hope this helps you
:)
The area of the shape is 20 square units.
What is a trapezoid?An open, flat object with four straight sides and one set of parallel sides is referred to as a trapezoid or trapezium. A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases.
Given that a shape is in trapezoid form.
The dimensions of the parallel sides are 4 and 6 units.
And a perpendicular side is 4 units.
The formula for the area of a trapezoid is:
Area = (1/2) × (sum of parallel sides) × (perpendicular distance between them)
In this case, the parallel sides have lengths 4 and 6 units, and the perpendicular distance between them is 4 units.
Substituting these values into the formula, we get:
Area = (1/2) × (4 + 6) × 4
Area = (1/2) × 10 × 4
Area = 20 square units
Therefore, the area of the trapezoid is 20 square units.
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PLEASE HELP THIS IS ALMOST DUE!! IF ANYONE KNOWS IT PLEASE TELL ME THANK YOU!
Anyone knows the answer?
Answer:
D) (2,-1)
Step-by-step explanation:
These are two concentric circles of radius 3 and 4 at the origin. That means that any point within the inner is also within the outer. So focusing on the inner, the points plugged into its equation must be less than or equal to the radius squared or 9. That is only valid with point D.
Find an example of a 2×3 matrix A and a 3×2 matrix B such that, letting T(x)=Ax and U(x)=Bx, the composition T∘U is a reflection over the line y=x.
The example of 2×3 matrix A and a 3×2 matrix B such that, letting T(x)=Ax and U(x)=Bx is reflection Ab.
Matrices, the plural form of matrix, are the groupings of numbers, variables, symbols, or phrases in a rectangular table with varying rows and columns. These are rectangular arrays with specified operations such as addition, multiplication, and transposition. The elements of the matrix are the numbers or entries in it. The horizontal entries of matrices are referred to as rows, whereas the vertical elements are referred to as columns.
Let,
\(B = \left[\begin{array}{cc}0&1\\1&0&0&0\end{array}\right] , A = \left[\begin{array}{ccc}1&0&0\\0&1&0\\\end{array}\right]\)
Then,
\(AB =\left[\begin{array}{ccc}1&0&0\\0&1&0\\\end{array}\right] \left[\begin{array}{cc}0&1&1&0&0&0\\\end{array}\right] \\\\AB = \left[\begin{array}{cc}0&1&1&0\\\end{array}\right]\)
Therefore, Ab is reflection about y = x .
As U = Bx and T∘U
A matrix is a rectangular array of integers, variables, symbols, or expressions that are defined for subtraction, addition, and multiplication operations. The number of rows and columns in a matrix determines its size (also known as the order of the matrix).
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the table below shows the pounds of candy a company sold in the months leading up to October
Month | pounds of candy sold
June. | 118
July. | 168
August. | 151
September | 151
In October they sold 2 times as many pounds of candy as they did in the previous 4 months combined. How many fewer pounds of candy did they sell in the previous 4 months compared
Answer:
1,176 | 588
Step-by-step explanation:
118 + 168 + 151 + 151 = 588
588 x 2 = 1,176
A system of linear equations that has no solution is a set of
equations
A) Consistent
B) Inconsistent
Answer:
Inconsistent
Step-by-step explanation:
A system of linear equations that has at least one solution is called consistent, whereas a system of linear equations that has no solutions is called inconsistent.
A system of linear equations that has no solution is a set of inconsistent equations.
The correct answer is an option (B)
What is an equation?"It is a mathematical statement which consists of equal symbol between two algebraic expressions."
What is system of equations?"It is a set of equations for which we find a common solution."
What is consistent system of equations?"A system of equations is consistent if there is at least one set of values that satisfies each equation in the system."
What is inconsistent system of equations?"A system of equations is inconsistent if there is no solution to the given system of equations."
From the definition, we can see that the system of equations is inconsistent if a system of equations has no solution.
Therefore, A system of linear equations that has no solution is a set of inconsistent equations.
The correct answer is an option (B)
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Colton and his children went into a grocery store where they sell apples for $1.25 each and mangos for $2 each. Colton has $20 to spend and must buy at least 12 apples and mangos altogether. Also, he must buy at most 13 apples and a maximum of 3 mangos. If x represents the number of apples purchased and y represents the number of mangos purchased, write and solve a system of inequalities graphically and determine one possible solution.
The answer must be 2 inequalities formatted so that y is greater than, less than, greater than or equal to, less than or equal to.
The inequalities that represent the given word problem is;
1.2x + 2y ≤ 20
x + y ≤ 16
How to solve inequality word problems?We are given;
The cost of each apple = $1.25
The cost of each mango = $2
The maximum number of apples = 20
The maximum number of mangoes = 3
The minimum selling amount of chairs and tables = $ 4800
Let the number of apples purchased be x
Let the number of mangos purchased be y
Thus, we can form the inequalities as;
1.2x + 2y ≤ 20 .......(1)
x + y ≤ 16 -----(2)
x ≤ 13 -----(3)
y ≤ 3 ------(4)
Now, from the inequality graph attached the point where the two graphs meet is a solution to the simultaneous inequalities which is;
x ≤ 11.67 and y ≤ 3
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Pls answer ASAP.......
Answer:
36
Step-by-step explanation:
432/12
36
Hope this helps.
Answer:
its 36
Step-by-step explanation:
A
eric plans to invest $15,000 in a retirement account that compounds
4% monthly. he has 20 years left until he retires.
how much will he have in the account when he retires?
a.) $26,566.39
b.) $41,982.44
c.) $33,338.73
d.) $35,349.62
At the time of retirement, the account where Eric wants to put $15,000 into a retirement account that grows at a 4% annual rate had $33.338.731 in it..
What is compound interest ?Compound interest is the concept that each time interest is paid on an amount, the additional interest will likewise continue to accrue interest. Compound interest is calculated using both the original principle amount and the interest that has already accrued over the course of prior periods. FV = P*(1+R/N)(N*T) can be used to compute compound interest, where FV stands for future value of the loan or investment, P stands for initial principal amount, R stands for yearly interest rate, N stands .
given
Eric intends to invest $15,000 at a monthly compound interest rate of 4%. There are 20 years total left until retirement.
At retirement, the amount would be A = A = 15000 ( 1 + 4/1200) \(^{(12)}^{(20)}\)
= 33.338.731
As a result, the money in the retirement account would be $33.338.731 after 20 years.
When an interest rate that is compounded once per year is applied to the amount P.
A = P ( 1+ r / n * 100 )\(^{ n *t}\) would be the amount A after t years.
Compound monthly in this case equals n = 12.
At the time of retirement, there was $33.338.731 in the account.
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Mariska was comparing her options for investment. One choice she was looking at showed that her principal of $1,875 over 10 years would earn $1,125 in interest giving her a total of $3,000 at the end of the investment period. What interest rate is being used to calculate this investment?
Answer: 6%
Step-by-step explanation:
Principal= $1875
Time= 10 years
Interest= $1125
Rate = Unknown
Recall that,
Interest= (Principal×Rate×Time)/100
I = PRT/100
100I = PRT
R= (100×I)/PT
Rate = (100 × 1125)/(1875 × 10)
Rate = 112500/18750
Rate= 6%
The rate is 6%
Solve the following inequality and show the answers on number line
\(3(1 + 2x) \leqslant 2(x - 3) \\ 2(x - 1) < 3(1 - x) \\ 2x - 15 \leqslant 3(x - 1) \\ 4x - 11 \leqslant 3(1 - x) \\ 5(x + 2) \leqslant 3x + 13)\)
Please help will mark the brainliest
Answer:
y=-x-2 this is the answer
According to Remland, which of the following is the primary code we use to signal identity?
The primary code we use to signal identity, according to Remland, is nonverbal communication.
Nonverbal communication refers to the transmission of messages without the use of words. It involves various forms of communication such as facial expressions, body language, gestures, posture, eye contact, and tone of voice. Remland, a researcher in the field of communication, emphasizes the significance of nonverbal cues in signaling identity.
Nonverbal cues play a crucial role in expressing our cultural, social, and personal identities. They can convey information about our emotions, attitudes, status, and affiliations. For example, the way we dress, our choice of accessories, and our body language can communicate aspects of our identity such as our gender, social group, or profession.
Nonverbal communication is particularly powerful because it often operates at an unconscious level and can convey messages that are difficult to express through words alone. These nonverbal signals can shape impressions, establish connections, and influence how others perceive and respond to us.
According to Remland, nonverbal communication is the primary code we use to signal identity. Understanding and interpreting nonverbal cues are essential for effective communication and for navigating social interactions, as they provide valuable insights into the identities and intentions of individuals.
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Pythagorean thereom
Answer:
hope it helps
Step-by-step explanation:
I don't really know no9
how many solutions are there to the equation x1 x2 x3 14 if: (a) each variable is an integer greater than or equal to zero? (b) each variable is an integer greater than or equal to one?
The number of solution for the equation x₁ + x₂ + x₃ = 14 where x₁ , x₂ , x₃ are integers for different condition are
a. 91 solution for each variable greater than or equal to zero
b. 66 solution when each variable greater than or equal to one.
Total number of solution for the equation x₁ + x₂ + x₃ = 14.
a. Each variable x₁ , x₂, x₃ is an integer greater than or equal to zero.
When x₁ = 0 and x₂ , x₃ have different values
0 + 0 + 14 = 14
0 + 1 + 13 = 14
0 + 2 + 12 = 14
0 + 3 + 11 =14
0 + 4 + 10 =14 .......so on
0 + 13 + 1 = 14
Total outcome = 14
Two place needs to be fill one place is fixed by certain number.
Total number of possible solution is equal to
= ¹⁴C₂
= ( 14! ) / ( 14 - 2 )! 2!
= ( 14 × 13 ) / ( 2 × 1 )
= 7 × 13
= 91
b. Each integer is an integer greater than or equal to one
When x₁ = 1 and x₂ , x₃ have different values
1 + 1+ 12 = 14
1 + 2 + 11 = 14
1+ 3 + 10 =14
1 +4 + 9 =14 .......so on
1+ 12 + 1 = 14
Total outcome = 12
Total number of possible solution when each variable is greater than or equal to 1
= ¹²C₂
= ( 12! ) / (12 - 2)! 2!
= ( 12 × 11 ) / 2
= 66
Therefore , total number of solution for the equation having integer variable x₁ + x₂ + x₃ = 14 is
a. Each variable greater than or equal to zero has 91 solution.
b. Each variable greater than or equal to one has 66 solution.
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Morgan just accepted a job at a new company where she will make an annual salary of $46000. Morgan was told that for each year she stays with the company, she will be given a salary raise of $4000. How much would Morgan make as a salary after 9 years working for the company? What would be her salary after t years?
Answer: $82,000
Step-by-step explanation:
4000 multiplied by 9 equals $36000. Add 36000 to 46000 and you get $82000.
Answer:
for those that need the answer to the second step the answer is 4000t+46000.
Step-by-step explanation:
Which characteristic is necessary for an extraneous variable to become a confounding variable? a. It must have no systematic relationship with the dependent variable. b. It must change systematically from one participant to the next. c. It must have no systematic relationship to the independent or dependent variables. d. It must change systematically when the independent variable is changed.
It must change systematically when the independent variable is changed for an extraneous variable to become a confounding variable that is option D.
This is because a confounding variable is a variable that is related to both the independent and dependent variables and affects the outcome of the study, making it difficult to determine the true effect of the independent variable. In order for a variable to be considered a confounding variable, it must change systematically with changes in the independent variable.
A confounding variable is a variable that affects the outcome of a study but is not the variable of interest. This can create ambiguity in the results and make it difficult to determine if the observed effect is due to the independent variable or the confounding variable. In order for a variable to be considered a confounding variable, it must change systematically with changes in the independent variable.
This means that as the independent variable changes, the confounding variable also changes in a predictable way. Without controlling for this variable, the study may not accurately reflect the true effect of the independent variable. Therefore, it is important to identify and control for confounding variables in a study to ensure that the results are valid and reliable.
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I need help understanding, how do I solve this?
3 – [–(–1)]
Answer:
3-[1]
3-1
2
Step-by-step explanation:
=//7777/))_+++++++4
Please helppppp
Reagan solved 5.25 = 5 and got 105. What did Reagan do wrong?
Answer:
He did not simplify correctly and forgot to place the decimal point correctly.
Step-by-step explanation:
To simplify the equation, one needs to divide both sides of the equal sign by 5.
i.e 5.25/5=5/5
Here we find 1.05=1
Note the placement of the decimal point.
Substitution in the Indefinite Integral Part 1. Using the substitution: u=2x−7x²−4. Re-write the indefinite integral then evaluate in terms of u.
∫((-14/9)x +2/9)e²ˣ−⁷ˣ²−⁴ dx=∫□=
Note: answer should be in terms of u only
Using the substitution u = 2x - 7x² - 4, we rewrote the given indefinite integral in terms of u. The resulting integral can be simplified and then evaluated using appropriate integration techniques.
To evaluate the given indefinite integral using the substitution u = 2x - 7x² - 4, we need to rewrite the integral in terms of u. Let's go through the steps:
Perform the substitution:
Let u = 2x - 7x² - 4. We need to express dx in terms of du to substitute it in the integral.
Taking the derivative of u with respect to x gives:
du/dx = 2 - 14x.
Solving for dx, we have:
dx = (1/(2 - 14x)) du.
Rewrite the integral in terms of u:
Substituting dx in terms of du in the original integral, we get:
∫((-14/9)x + 2/9)e^(2x-7x²-4) dx = ∫((-14/9)x + 2/9)e^(u) * (1/(2 - 14x)) du.
Now we have the integral in terms of u.
Simplify the expression:
We can simplify the integrand by canceling out the common factors in the numerator and denominator:
∫((-14/9)x + 2/9)e^(u) * (1/(2 - 14x)) du = ∫((-7/9)x + 1/9)e^(u) * (1/(1 - 7x)) du.
Evaluate the integral:
We can now integrate the simplified expression with respect to u:
∫((-7/9)x + 1/9)e^(u) * (1/(1 - 7x)) du = (-7/9) ∫x * e^(u) * (1/(1 - 7x)) du + (1/9) ∫e^(u) * (1/(1 - 7x)) du.
The integration can proceed based on the specific form of the expressions involved.
a powerful technique used in integration to simplify complex expressions and convert the integration variable. By substituting u = 2x - 7x² - 4, we express the indefinite integral in terms of the new variable u. This allows us to rewrite the integral and work with a simpler form of the integrand.
The process involves finding the derivative of u with respect to x, which helps us determine the appropriate substitution for dx. Then, by substituting dx in terms of du and simplifying the integrand, we transform the integral into an expression involving the new variable u.
The resulting integral can then be evaluated using integration techniques specific to the form of the expression. The final answer will be given in terms of u, reflecting the change of variable in the original integral.
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8. in the pcr process, if we assume that each cycle takes 5 minutes, how many fold amplification would be accomplished in an hour?
The answer to the given question is 4096-fold. If it assumed that each cycle in the PCR process takes 5 minutes, then total 4096-fold amplification could be accomplished in an hour.
What are the steps in PCR Amplification?PCR is based on 3 simple steps needed for any DNA synthesis reaction. Those steps are: denaturation of the template to the single strands; annealing of the primers to every original strand for a new strand synthesis; and development of the new DNA strands from the primers.
In this case, each cycle takes 5 minutes and doubles the DNA.
Thus, in one hour, there would be 60 / 5 = 12 cycles.
So, the DNA would be amplified 212 = 4096-fold.
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Are same side interior angles complementary or supplementary?
Are same side exterior angles complementary or supplementary
Answer:
Side interior angles are most definitely supplementary
Step-by-step explanation: I'm pretty sure that other guy just guessed
Miranda is conducting a poll to determine how many students would attend a students-only school dance if one was held. Which sample is most likely to yield a representative sample for the poll? twenty names from each grade pulled blindly from a container filled with the names of the entire student body written on slips of paper every tenth person walking down Main Street in town at different times of the day all of the students who write into the school newspaper every student from all of Miranda’s classes
The sample that is most likely to yield a representative sample for the poll is "twenty names from each grade pulled blindly from a container filled with the names of the entire student body written on slips of paper."
A representative sample is one that accurately reflects the characteristics of the population from which it is drawn. In this case, Miranda wants to determine how many students would attend a students-only school dance. To achieve this, she needs a sample that represents the entire student body.
The option of selecting twenty names from each grade ensures that the sample includes students from all grades, which is important to capture the diversity of the student body.
By pulling the names blindly from a container filled with the names of the entire student body, the selection process is unbiased and random, minimizing any potential biases that could arise from alternative methods.
The other options have certain limitations that may result in a non-representative sample. For example, selecting every tenth person walking down Main Street may introduce a bias towards students who live or frequent that particular area.
Students who write into the school newspaper may have different interests or characteristics compared to the general student body, leading to a biased sample. Similarly, selecting all the students from Miranda's classes would not represent the entire student body, as it would only include students from those specific classes.
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is y=4x-5 proportional or no proportional
Answer:
non proportional
Step-by-step explanation:
After eating at a restaurant, Mr. Jackson’s bill before tax is $52.50 The sales tax rate is 8%. Mr. Jackson decides to leave a 20% tip for the waiter based on the total, plus tax. Mr. Jackson is eating with two of his friends. How much would each person pay if they divided the final bill equally?
Answer:
$22.4
Step-by-step explanation:
Original bill = $52.50
If sales tax is 8%
Tax paid = 8% of $52.50
Tax paid = 0.08*$52.50
Tax paid = $4.2
If percent tip = 20%
Tip = 0.2 * $52.50
Tip = $10.5
Total amount paid on food is $52.50+$4.2+10.5
Total amount paid on food = $67.2
Since Mr. Jackson is eating with two of his friends, the total people eating are 3.
If divided equally, the amount each person will pay is $67.2/3 = $22.4
Hence each person will pay $22.4