Answer:
see below
Step-by-step explanation:
dogs = x
cats = y
x+y =39
x- y = 13
so add the 2 equations together you get 2x = 52 so x = 26
y = 13
Expand and simplify f(x)= 4(x+6)(x-2)
The expression f(x) = 4(x + 6)(x - 2) can be expanded as follows:
What is a mathematical expression?
A mathematical expression is made up of a statement, at least two integers or variables, and one or more arithmetic operations. This mathematical operation enables the multiplication, division, addition, or subtraction of numbers. The following is the structure of an expression: Expression: (Number/Variable, Math Operator, Math Operator)
f(x) = 4(x^2 - 2x + 6x - 12)
Expanding the inner parentheses,
f(x) = 4(x^2 + 4x - 12)
So, the expanded and simplified form of f(x) = 4(x + 6)(x - 2) is
f(x) = 4x^2 + 16x - 48
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Find the Pearson coeffiecent of skewness formula and use the SKEW function in Excel to measure the skewness of the following data set: 418, 184, 264, 347, 485, 382
Round all calcuated values to the hundreths.
The value that tells us the skewness of the data that we have here is -0.4273
How to solve for the skewnessThe skewness of the data distribution is the statistic that is used to tell us of the level of asymmetry that is in the data set.
In order to solve for the skewness, we would have to use Microsoft excel
All of values would be entered into the formula
SKEW (418, 184, 264, 347, 485, 382)
The output that it would display can be rounded to -0.427
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The difference between compound and simple interest is:
Simple interest is calculated on the original amount (the
principal) only.
Compound interest is calculated and added in during the
length of the time period, and hence has the effect of
accumulating interest on interest.
A) True
B) False
A) True. Both the given statement about simple interest and compound interest is True.
Simple interest is computed on a loan's principal, or initial loan amount.
Compound interest is often referred to as "interest on interest" since it is calculated using both the principal and the accrued interest from prior periods.
Formula for simple interest - S.I. = (P × T × R) ⁄ 100
Formula for compound interest - C.I. = P(1+R⁄100)t − P
If interest is computed on a compound basis rather than a simple basis, the amount of interest that must be paid on a loan can vary significantly. Positively, the power of compounding can work in your favor when it comes to investments and can be a significant contributor to wealth accumulation.
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count the number of measurements in the intervals x { s, x { 2s, and x { 3s. express each count as a percentage of the total number of measurements.
The percentage of measurements in the interval x { s is 100%. The percentage of measurements in the interval x { 2s is 50%. The percentage of measurements in the interval x { 3s is 33.33%.
The number of measurements in the interval x { s is the total number of measurements, since the interval covers all the measurements. This means that the percentage of measurements in this interval is 100%.
The number of measurements in the interval x { 2s is half the total number of measurements, since the interval covers only half of the measurements. This means that the percentage of measurements in this interval is 50%.
The number of measurements in the interval x { 3s is one-third of the total number of measurements, since the interval covers only one-third of the measurements. This means that the percentage of measurements in this interval is 33.33%.
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if you flip a fair coin 9 times, what is the probability of each of the following getting all tails
The probability of getting all tails in 9 coin flips is (1/2)^9, which is approximately equal to 0.02.
The probability of getting all tails in 9 coin flips can be calculated by multiplying the probability of getting tails on each individual flip. Since the coin is fair, the probability of getting tails on a single flip is 1/2. Hence, the probability of getting all tails in 9 coin flips is given by (1/2)^9, which is approximately equal to 0.02. This means that there is a 2% chance of getting all tails in 9 coin flips.
It is important to note that in a sequence of coin flips, the order in which the heads and tails appear is important. For example, getting HTTTHTTTT and THTTTHTTT are two different outcomes, even though both have the same number of heads and tails. The total number of possible outcomes in 9 coin flips is 2^9, which is equal to 512. So, to calculate the probability of getting all tails in 9 coin flips, we need to calculate the number of possible outcomes with 9 tails, divide that number by the total number of possible outcomes, and obtain (1/2)^9.
Therefore, probability = 0.02
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If 0 = 17/4, then find the exact values for the following: sec(0) =_________ csc(0) = _________ tan(0) = _________ cot(0) = _________
The exact values for the following:
Sec(0) = -2.2417
Csc(0) = -1.1173317211
Tan(0) = 2.00630902786
Cot(0) = 0.4984
What are the trigonometric identities?Equations using trigonometric functions that hold true for all possible values of the variables are known as trigonometric identities.
Given:
0 = 17/4.
Then the exact values for the following:
Sec(0) = 1 / cos(17/4) = -2.2417
Csc(0) = 1/ sin(17/4) = -1.1173317211
Tan(0) = tan(17/4) = 2.00630902786
Cot(0) = 1/ tan(17/4) = 0.4984
Therefore, the exact values are given above.
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Irene performed an operation with 83.904 and a number. She ended up moving the decimal point in 83.904 four places to the right Irene ? 10 raised to the power of ?
Irene multiplied 10 raised to the power of 4.
What precisely is a expression?Math requires the use of arithmetic, algebra, and divisions. They result in the following when combined: An equation, some statistics, and a mathematical function Values, factors, and mathematical processes like adding, addition and subtraction, complex numbers, and division can all be found in a statement of fact. Different words and terms can be analysed and evaluated.
Here,
She ended up moving the decimal point in 83.904 four places to the right
i.e.
839040
Irene performed the operation
= 83.9040 / 83.904
= 10000
= 10⁴
Therefore, the solution of the given problem of expression comes out to be Irene performed the operation 83.904 × 10.⁴
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why is this not a parallelogram
Answer: it’s not because of the angles
Step-by-step explanation:
Answer:
the angles are wrong for it to be a parallelogram
so sorry if I'm wrong
B Current Attempt in Progress Journalize the following business transactions in general journal form. Identify each transacti 1. 2. 4. 5. 6. 7. The company issues stock in exchange for $40,000 cash. Purchased $400 of supplies on credit. Purchased equipment for $8,000, paying $2,000 in cash and signed a 30-day, $6,000 Real estate commissions billed to clients amount to $4,000. Paid $700 in cash for the current month's rent. Paid $200 cash on account for supplies purchased in transaction 2. Received a bill for $600 for advertising for the current month. 8. Paid $2,200 cash for office salaries and wages. Type here to search how to fill out the table
Journalizing the business transactions in the general journal form is as follows:
General JournalAccount Titles Debit Credit
1. Cash $40,000
Common Stock $40,000
2. Supplies $400
Accounts Payable $400
3. Equipment $8,000
Cash $2,000
Note Payable $6,000
4. Accounts Receivable $4,000
Commission Revenue $4,000
5. Rent Expense $700
Cash $700
6. Accounts Payable $200
Cash $200
7. Advertising Expense $600
Accounts Payable $600
8. Salaries and Wages $2,200
Cash $2,200
What is the general journal?The general journal is the initial accounting record of a business transaction.
In the general journal, transactions are recorded chronologically, according to the date they occur.
The general journal forms the basis for posting transactions to the general ledger.
Transaction Analysis:1. Cash $40,000 Common Stock $40,000
2. Supplies $400 Accounts Payable $400
3. Equipment $8,000 Cash $2,000 Note Payable $6,000
4. Accounts Receivable $4,000 Commission Revenue $4,000
5. Rent Expense $700 Cash $700
6. Accounts Payable $200 Cash $200
7. Advertising Expense $600 Accounts Payable $600
8. Salaries and Wages $2,200 Cash $2,200
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What is the difference of 85.23 and 2.676
Answer:
82.554
Step-by-step explanation:
take 85.23 subtract from 2.676;
= 85.23-2.676
=82.554
suppose that arrayname is an array, wherein each element is of type datatype. which of the following is the correct syntax for the range-based for loop?
Option D : The range-based for loop is a convenient way to iterate over elements in an array or other container type, without having to worry about indexing or keeping track of the end condition.
The syntax of the range-based for loop is as follows:
for (dataType identifier : arrayName)
{
statements
}
Here, dataType specifies the type of each element in the array arrayName. identifier is a variable that will be used to refer to each element of the array in turn, as the loop iterates. The keyword in is optional and can be omitted. The statements inside the loop will be executed once for each element in the array.
For example, if you have an array of integers named numbers, you could use a range-based for loop to print each element of the array as follows:
int numbers[] = {1, 2, 3, 4, 5};
for (int num : numbers)
{
cout << num << endl;
}
This would print the numbers 1 to 5, each on a separate line.
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Suppose that arrayName is an array, wherein each element is of type dataType. Which of the following is the correct syntax for the range-based for loop?
a. for (identifier : arrayName) statements
b. for (dataType : arrayName) statements
c. for (arrayName : dataType identifier) statements
d. for (dataType identifier : arrayName) statements
Darvin Furniture marks up the price of a dining room set 60%. What will be the selling price of a dinning room set that Darvin buys for $1400?
Answer: $2240
Step-by-step explanation:
$1400 x 1.60 = $2240
Valerie is driving to Houston. Her distance from Houston decreases 120 mi every 2 h. After 3 h.
her distance from Houston is 60 mi. Valerie's distance from Houston in miles, y, is a function of
the number of hours she drives, z.
What is the rate of change? Find the change in Valerie's distance each hour.
rate of change: ?
As a result, the rate of change is -60 miles per hour. This indicates that Valerie's distance from Houston drops by 60 miles per hour.
What is slope?Slope is a measure of the steepness of a line or the rate of change between two variables. In mathematics, slope is often represented by the letter "m". The slope of a line is the ratio of the change in the vertical coordinate (rise) to the change in the horizontal coordinate (run) between two points on the line. The slope has important properties and interpretations. A slope of zero indicates a horizontal line, a positive slope indicates an upward slope, and a negative slope indicates a downward slope. The slope can also be used to determine whether two variables are positively or negatively correlated. In addition to its use in describing lines, slope is also used in other areas of mathematics, such as in the study of graphs of functions and in calculus. The slope of a function at a specific point is known as the derivative of the function, and it is used to study the rate of change and the concavity of the function.
Here,
The rate of change can be determined by finding the slope of the line that represents the function. In this case, we can use the given information to write an equation for the function and then find its slope.
Let's call the number of hours she drives z and the distance from Houston y. Based on the information given, we know that after 3 hours, her distance from Houston is 60 miles:
y = 60 miles
z = 3 hours
And we know that her distance from Houston decreases by 120 miles every 2 hours:
Δy = -120 miles
Δz = 2 hours
So the rate of change, or slope, is given by:
slope = Δy/Δz = -120/2 = -60
So the rate of change is -60 miles per hour. This means that for every hour that passes, Valerie's distance from Houston decreases by 60 miles.
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Solve the inequalities below. Write the solution set in interval notation and graph the solution.
−
3
2
x
>
−
14
-
3
2
x
>
-
14
Solution:
Interval notation for the solution:
Step-by-step explanation:
(∞,-14/3/2] ∪ [14/3/2, ∞)
The graph of the solution would be the set of all real numbers except for the number -14/3/2. It would be a number line with two open dots on either side of -14/3/2.
Please help! I’m stuck
Troy and Lisa were shopping for school supplies. Each purchased different quantities of the same notebook and
thumb drive. Troy bought 5 notebooks and 15 thumb drives for $395. Lisa bought 12 notebooks and 8 thumb
drives for $248. Find the cost of each notebook and each thumb drive.
The cost of each notebook =
The cost of each thumb drive =
Answer:
notebook: $4thumb drive: $25Step-by-step explanation:
You want the cost of a notebook and a thumb drive when 5 notebooks and 15 thumb drives costs $395, while 12 notebooks and 8 thumb drives cost $248.
EquationsThe two purchases can be described by the equations ...
5n +15d = 395 ⇒ n +3d = 7912n +8d = 248 ⇒ 3n +2d = 62SolutionSubtracting the second equation from 3 times the first, we have ...
3(n +3d) -(3n +2d) = 3(79) -(62)
7d = 175
d = 25 . . . . . . . divide by 7
Substituting into the first equation gives ...
n +3(25) =79
n = 4 . . . . . . . subtract 75
The cost of each notebook is $4; the cost of each thumb drive is $25.
__
Additional comment
It is often easier to solve a system of equations when they are written in standard form. Here, we made the coefficients mutually prime by dividing each equation by the greatest common factor. For the first equation, we divided by 5; for the second equation, we divided by 4. This is especially useful if one of the coefficients ends up being 1.
Determine the simple interest. Assume 360 days in a year.
p=$39, r=0.0625% per day, t=180 days.
The preceding statement suggests that simple interest equals $4.38
Simple interest: What is it?Simple annual interest of borrowing-related interest that is computed using only the initial principal and a constant interest rate. Compounding, in which borrowers wind up paying tax on principle plus interest that increases over a few of payment periods, is not a part of it. The original is multiplied by time, rate of return, and time period to determine simple interest.
Due to it,
P = $39
R = 0.0625%
T = 180 days
Now, Simple Interest = P*R*T/100
Simple Interest = 39 * 0.0625 * 180/100
Simple Interest = 2.92
Therefore, Simple Interest is $4.38
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Someone please help I’ll give points
Answer:
Step-by-step explanation:
40 or less for males 35 or less for females
Sampling distributions
Answer:
Distrubute it equally
Step-by-step explanation:
Answer:
Sampling distributions are a fundamental concept in statistics. They describe the distribution of sample statistics, such as means and proportions, over many samples of the same size taken from the same population. Sampling distributions provide essential information about the variability and stability of these sample statistics and help us make inferences about the population parameters.
The central limit theorem states that, as the sample size increases, the distribution of the sample means approaches a normal distribution, regardless of the shape of the population distribution. We can use regular distribution models to predict the sample mean and estimate the population means with confidence intervals.
In addition to the central limit theorem, other essential concepts in sampling distributions include the law of large numbers, which states that the average of the sample means approaches the population means as the sample size increases, and the standard error of the mean, which is a measure of the variability of the sample mean.
Knowing about sampling distributions is essential for understanding statistical inference and for making informed decisions about populations based on sample data. They provide a framework for evaluating the reliability and accuracy of sample statistics, and they play a crucial role in hypothesis testing, estimation, and other data analysis techniques.
Which of the following fits this equation? x<10+1
A.) 11
B.) 19
C.) 10
D.) 40
Answer:
C.] 10
Step-by-step explanation:
We can substitute x for 10. 10 is less than 11 so this makes the statement true.
[tex]30*\sqrt{5} ^{2} +13*\sqrt{5}-6[/tex]
Given P(x)= x^3 + 3x^2 + x + 3. Write P in factored form (as a product of linear factors). Be sure to write the full equation, including P(x)=.
The factored form of the equation P(x) = x³ + 3x² + x + 3 is P(x) = (x+1)(x² + 2x + 3).
An equation is a mathematical expression that shows that two things are equal.
One common method for finding the factored form of a polynomial equation is to use the Rational Root Theorem, which states that if a rational number a/b is a root of the polynomial equation, then (x-a/b) is a factor of the polynomial equation.
We can then use long division to divide the polynomial by the linear factor, repeat the process with the remaining polynomial, and continue this process until the polynomial is fully factored.
The polynomial equation
=> P(x) = x³ + 3x² + x + 3
can be factored as
=> (x+1)(x² + 2x + 3).
The equation P(x) = (x+1)(x² + 2x + 3) is now written as a product of two linear factors, (x + 1) and (x² + 2x + 3).
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Evaluate : cosec2 45° + tan2 45° – 3sin2 90°
Answer:
arcsin (1°/245°) + 4.963586
Step-by-step explanation:
Rewrite the angle as a sum or difference with its reference angle
simplify the expression using the general reduction formula
Remove the parentheses
Simplify using exponent rule with same exponent (ab)n
Simplify using exponent rule with same exponent
Calculate the approximate value
Calculate
Calculate the sum or difference
solve & show your work please
The sum is x/(x+5) + (x+10)/(x+1).
The difference is x/(x+5) - (x+10)/(x+1).
What is simplification?
To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.
Here, we have
Given: x/(x+5) + (x²+20x+100)/(x²+11x+10)
Sum:
= x/(x+5) + (x²+20x+100)/(x²+11x+10)
= x/(x+5) + (x+10)²/(x+1)(x+10)
= x/(x+5) + (x+10)/(x+1)
Hence, the sum is x/(x+5) + (x+10)/(x+1).
Now, the difference:
= x/(x+5) - (x²+20x+100)/(x²+11x+10)
= x/(x+5) - (x+10)²/(x+1)(x+10)
= x/(x+5) - (x+10)/(x+1)
Hence, the difference is x/(x+5) - (x+10)/(x+1).
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1/9 equals 5/n
Pls help
Answer:
its 5/45
Step-by-step explanation:
Match the equation with the number of solutions for x that are possible.
the explanation is in the picture
10.
Which graph shows the following system of equations and its solution?
ows the following system of equations and its solution?
The graph that shows the following system of equations and its solution is graph number C
How to determine the graph?A graph is the graphical representation of equations on a graph sheet
The given equations are
-4x-3y=4
4x-y=-4 Solving the equations
In equation 1
When x = 0
-3y = 4
y=-4/3 (0, -4/3)
When y = 0
-4x = 4
x= -1 (-1, 0)
In equation 2 when x = 0
-y = -y = 4 (0, 4)
When y = 0
4x=-4 x=-1 (-1, 0)
When these coordinates are used to plot the graph, graph number is is obtained.
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i am suppose to write an equation, please tell me the steps
The equation of a parabola with center (h, k) and focus (h + p, k) can be written in standard form as:
What exactly is a parabola?
Any point on a parabola is at an equal distance from both the focus, a fixed point, and the directrix, a fixed straight line. A parabola is a U-shaped plane curve. The topic of conic sections includes parabola, and all of its principles are discussed here.
(x - h)² + (y - k)² = 4p² (y - k)
Plugging in the values from the given information:
h = 6, k = -4, p = 2√6
The equation is:
(x - 6)² + (y + 4)² = 4(2√6)² (y + 4)
Expanding and simplifying:
(x - 6)² + (y + 4)² = 144(y + 4)
Expanding the right side further:
(x - 6)² + (y + 4)² = 144y + 576
Rearranging the equation:
(x - 6)² = 144y + 576 - (y + 4)²
Distributing and completing the square on the right side:
(x - 6)² = 144y + 576 - y² - 8y - 16
(x - 6)² = 144y - y² - 8y + 560
Expanding the square on the left side:
x² - 12x + 36 + y² - 144y + 8y² = 560
Combining like terms:
x² - 12x + y² - 156y + 8y² + 36 = 560
Rearranging to standard form:
8y² - 156y + x² - 12x + 36 = 560
Subtracting 560 from both sides:
8y² - 156y + x² - 12x - 524 = 0
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If f(1) = 4 and f(n) = 4f(n-1) + 5
The value of the function F(0) will be -1 / 4.
What is a function?The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x.
In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are indicated by letters like f, g, and h.
Given that the function is f(n) = 4f(n-1) + 5 and the value of f(1) is 4.
The value of f(0) will be calculated as:-
f(n) = 4f(n-1) + 5
f(1) = 4f(1 - 1 ) + 5
f(1) = 4f(0) + 5
4 = 4f(0) + 5
f(0) = -1 / 4
Therefore, the value of the function F(0) will be -1 / 4.
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A survey was conducted among 200 students of age groups 7–12 years and 13–18 years to find their favorite movie genre. The students had to select any one genre from comedy, action, or adventure. Out of the 100 students in the age group 7–12 years who participated in the survey, 55 liked action or adventure movies. The total number of students of both age groups who liked comedy was 98. Using a two-way table, compute the total number of students in the age group 13–18 years who liked action or adventure movies.
Answer:the answer is 47
Step-by-step explanation:
100 - 55 = 45, which represents the 7-12 year olds who chose comedy
98 - 45 = 53, people in 13-18 who chose comedy
100 - 53 = 47 which represents the people of 13-18 who chose action and adventure
HOPE THIS HELPS!!!!