14. Factor: 6mn
15. Factor: 24m4np3q
Answers
Factors of 6mn are: 6, m and n.
Factors of 24\(m^{4}\)np³q are: 24, \(m^{4}\), n, p³ and q.
Define factorization?Factorization, also known as identifying two or more expressions whose product is the given expression, is the process of determining the factors of an algebraic expression. Finding two or more expressions whose product is the given expression is the process of factoring algebraic expressions.
A factor is a number that divides the entered amount in half. It simply means to show a number as the result of multiplying it by two additional integers. Algebraic expressions are written in a manner similar to this by using the product of their factors. The only difference is because in this case, an algebraic statement combines addition or subtraction with arithmetic operations involving variables and numbers.
Factors of 6mn are: 6, m and n.
Factors of 24\(m^{4}\)np³q are: 24, \(m^{4}\), n, p³ and q.
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Related Questions
Simplify and express the result in power notation with positive exponent
(3−3 ÷ 3−10) ×3−5
1st and correct answer will be marked as brainliest
Answers
\(\\ \rm\Rrightarrow \dfrac{3^{-3}\times 3^{-5}}{3^{-10}}\)
a^ma^n=a^m+na^m/a^n=a^m-n\(\\ \rm\Rrightarrow 3^{-3+10}\times 3^{-5}\)
\(\\ \rm\Rrightarrow 3^73^{-5}\)
\(\\ \rm\Rrightarrow 3^{7-5}\)
\(\\ \rm\Rrightarrow 3^2\)
Answer:
3²
Step-by-step explanation:
Given expression:
\(\sf (3^{-3} \div 3^{-10}) \times 3^{-5}\)
Following the order of operations, carry out the calculations inside the parentheses first.
\(\textsf{Apply the quotient exponent rule} \quad a^b \div a^c=a^{b-c}:\)
\(\implies \sf 3^{-3-(-10)} \times 3^{-5}\)
\(\implies \sf 3^{-3+10} \times 3^{-5}\)
\(\implies \sf 3^{7} \times 3^{-5}\)
\(\textsf{Apply the product exponent rule} \quad a^b \times a^c=a^{b+c}:\)
\(\sf \implies 3^{7+(-5)}\)
\(\sf \implies 3^{7-5}\)
\(\sf \implies 3^2\)
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Graph the function f(x) = 32. Plot the key features including any x- and y-intercepts, any vertical, horizontal, or slant asymptotes, and any holes.
Answers
The graph of the function f(x) = 32 is attached accordingly.
How would you describe the above graph ?X - Intercept - There is no x-intercept since the function is a horizontal line.
Y -Interept - The y-intercept is (0, 32), since the line intersects the y-axis at y = 32.
Vertical Asymptotes - There are 0 vertical asymptotes, since t function is defined for all values of x.
Horizontal Asymptotes - There are 0 horizontal asymptotes, since the function is a horizontal line.
Slant Asymptotes - There are zeroslant asymptotes, since the function is a horizontal line.
Holes - There are zeroholes in the graph, since the function is a horizontal line with no breaks or discontinuities.
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Answer: see below
Step-by-step explanation:
got it right on quiz
if the cost to attend magic land park is now $29.50 what will be the cost after an 8% increase pls explain
Answers
Answer:
31.83
Step-by-step explanation:
29.50(.08) = 2.36
29.50 + 2.36 = 31.86
Answer:
or rather we can simply work it out as
if 29.50 is equivalent to 100%
what about an 8% increase which is 108
29.50=100
108
108*29.50=3186÷100
=31.86
the hcc police conduct a traffic analysis to collect data on the speed of cars driving through campusthey want to report a confidence interval that would have the least likely chance of having a type 1 error. they collected data on nine cars and found out that on average the cars are traveling around 19.1 mph with a sample standard deviation of 1.5 mph. what is the lower limit of the confidence interval, that would be best used to reduce the risk of having a type 1 error?
Answers
To calculate the lower limit of a confidence interval with the least likely chance of having a type 1 error, we need to determine the level of significance or alpha, and the t-value for the t-distribution based on the sample size and degree of freedom. Assuming a 95% confidence interval, a sample size of 9, and a sample standard deviation of 1.5 mph, the lower limit of the confidence interval is approximately 16.9 mph.
A confidence interval is a range of values that is likely to contain the true population parameter with a certain level of confidence. The level of confidence is determined by the alpha level, which is the probability of rejecting a true null hypothesis or making a type 1 error. To minimize the risk of a type 1 error, we need to choose an alpha level that is low, typically 0.05 or 0.01.
Once we have determined the alpha level, we can calculate the t-value for the t-distribution based on the sample size and degree of freedom. The t-value represents the number of standard errors that the sample mean is away from the population mean. With a larger t-value, we can have a narrower confidence interval, but it also increases the risk of a type 1 error. Using the formula for the margin of error and the t-value, we can calculate the lower and upper limits of the confidence interval. For this problem, assuming a 95% confidence interval, a sample size of 9, and a sample standard deviation of 1.5 mph, the lower limit of the confidence interval is approximately 16.9 mph. This means that we can be 95% confident that the true population mean speed of cars driving through campus is between 16.9 mph and some upper limit.
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the point of concurrency of the angle bisectors of a triangle
Answers
Answer: The incenter
Step-by-step explanation:
The incenter is the point of concurrency of the angle bisectors of all the interior angles of the triangle. In other words, the point where three angle bisectors of the angles of the triangle meet are known as the incenter.
need help please help me
Answers
Answer:
k/3 + 6 < 7 = k< 3
2 + p/2 ≥ 7 = p ≥ 10
5 − 4n < 8 − 5n = n < 3
−3n −4 > 4n + 10 = n < -2
9w − 4w + 6 ≥1 + 5w = I couldn't get a solution for this one sorry
Step-by-step explanation:
Hope this helps
Please help me Solve -x/3 >5
Answers
Answer:
I think its D. im not sure.
On a coordinate plane, a curved line labeled f of x with a minimum value of (1.9, negative 5.7) and a maximum value of (0, 2), crosses the x-axis at (negative 0.7, 0), (0.76, 0), and (2.5, 0), and crosses the y-axis at (0, 2).
Which statement is true about the graphed function?
F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) > 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) < 0 over the intervals (-0.7, 0.76) and (2.5, ∞).
F(x) > 0 over the intervals (-0.7, 0.76) and (0.76, ∞)
Answers
The correct statement is that F(x) < 0 over the intervals (-0.7, 0.76) and (2.5, ∞).
What is value?Value of subjective concept that refers to the word of important that an individual group of people places on the something it is often associated with principal beliefs and the standard that are accepted by society when you can be seen as a matter of how important something is true person of organization it is often seen as a reflection of funds for view and can help to save decision.
This can be seen by looking at the function's minimum and maximum values and its points of intersection with the x- and y-axes. The minimum value of (1.9, negative 5.7) is to the left of the x-axis, indicating that the function is negative over the interval (-0.7, 0.76). The maximum value of (0, 2) is above the x-axis, indicating that the function is negative over the interval (2.5, ∞).
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Which number line represents the solution set for the inequality 3(8-4x)<5(x-5)
Answers
24-12x < 5x-25
-12x-5x < -25 -24
-17x < -49
x > ⁴⁹/₁₇
Omar's cats claws grow 1/8 in in 1/12 of a year which is the amount of cats claws will grow in one year
Answers
1/8 * 12 months = 3/2
Reduced is 1 1/2 inches per year
Omar's cat's claws will grow 3/2 inch (or 1.5 inches) in one year.
To find the amount by which Omar's cat's claws will grow in one year, we need to multiply the growth rate per 1/12 of a year by the number of 1/12-year intervals in one year.
Given that Omar's cat's claws grow 1/8 inch in 1/12 of a year, we can find the growth in one year as follows:
Growth in one year = (Growth rate per 1/12 of a year) * (Number of 1/12-year intervals in one year)
Growth in one year = (1/8 inch) * (12 intervals)
Growth in one year = 1/8 inch * 12
Growth in one year = 12/8 inch
Now, we can simplify the fraction:
Growth in one year = 3/2 inch
So, Omar's cat's claws will grow 3/2 inch (or 1.5 inches) in one year.
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what is the circumfrence of a circle with a radius of 5 units
Answers
Answer: 31.42
Step-by-step explanation:
\(c = 2\pi \: r\)
\(c = 2 \times 3.14 \times 5\)
\(c = 31.4159\)
I think they wrote the wrong answers but if y’all find out which one it is thanks
Answers
Answer:
8x^2+16x+16
Step-by-step explanation:
The combined area is the sum of both expressions.
2x^2-13x+21+6x^2+29x-5
8x^2+16x+16
8(x^2+2x+2)
You're right. The multiple choice is just wrong.
Use a system of equations to solve the quadratic equation: x2 + 2x + 10 = - 3x + 4.
Answers
The solutions of the equation x² + 2x + 10 = - 3x + 4 are x=-2 and x=-3
The given equation is x² + 2x + 10 = - 3x + 4.
Take all the terms to the left side
x² + 2x + 10+3x-4=0
Combine the like terms
x²+5x+6=0
x²+2x+3x+6=0
Take out the factors
x(x+2)+3(x+2)=0
(x+3)(x+2)=0
x=-2 and x=-3
Hence, x=-2 and x=-3 are the solutions of the equation x² + 2x + 10 = - 3x + 4.
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We would like to estimate the proportion of uf students who owns a scooter to within 1% of the truth, with 95% confidence. We believe around 20% of students do. How many students should be sampled?.
Answers
In linear equation, Using the confidence interval for a proportion, it is found that 3458 students should be sampled.
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.
π ± z√π( 1 - π)/n
In which
z is the z-score that has a p-value of 1 + α/2
The margin of error is of
M = z√π( 1 - π)/n
In this problem:
95% confidence, thus α = 0.95 , z has a p-value of 1 + 0.95/2 = 0.975 thus z = 1.96.Estimative of 10%, thus p = 0.1The sample size is n, considering M = 0.01M = z√π( 1 - π)/n
0.01 = 1.96√0.1(0.9)/n
0.01√n = 1.96√0.1(0.9)
√n = 1.96 √0.1(0.9)/0.01
(√n)² = ( 1.96 √0.1(0.9)/0.01)²
n = 3457.4
3458 students should be sampled.
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The equation y = 0.43x + 50 models the cost y of renting a car if the car is driven x
miles.
According to the model, what is the best estimate of the cost for renting a car if you
plan to drive 489 miles? Please round your answer to the nearest dollar.
Answers
By solving the given equation (y = 0.43x + 5) we know that the cost of renting the car is $215 when we plan to drive 489 miles.
What do we mean by equations?A mathematical statement that has two expressions with equal values separated by the symbol "equal to" is called an equation. Consider the formula 3x + 5 = 15. Different types of equations exist, including linear, quadratic, cubic, and others. Let's read this article to learn more about math equations.So, y = 0.43x + 5 where 'x' is car driven and 'y' is the cost of renting.
Now, solve for y when the value of x is 489.
y = 0.43x + 5y = 0.43(489) + 5y = 210.27 + 5y = $215.27Rounding off: y = $215
Therefore, by solving the given equation we know that the cost of renting the car is $215 when we plan to drive 489 miles.
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-: ʇᴉ ǝʌlos
\(( {6}^{2} - 4 {}^{2} )\)
Answers
Answer:
(36 - 16)
((20)
♀️ its simple
all employees surveyed said that if they were in a state of information underload, they were dissatisfied.
Answers
Nearly 80% of those surveyed said they want to work for a company that values diversity, equity, and inclusion issues.
What is equity?
Value is utilized as capital raised by an organization, which is then used to buy resources, put resources into ventures, and asset tasks. A firm commonly can raise capital by giving obligation (as a credit or through bonds) or value (by selling stock). In finance, value is responsibility for that might have obligations or different liabilities joined to them. Value is estimated for the purpose of bookkeeping by taking away liabilities from the worth of the resources. For instance, on the off chance that somebody possesses a vehicle worth $24,000 and owes $10,000 on the credit used to purchase the vehicle, the distinction of $14,000 is value. Value can apply to a solitary resource, like a vehicle or house, or to a whole business. A business that requirements to fire up or grow its tasks can offer its value to raise cash that doesn't need to be reimbursed on a set timetable.
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simplify
x^2-16/2x^2-5x-12
Answers
Answer:
−7x2−5x−12
Step-by-step explanation:
and if you need the answer to that its 46
PLEASE HELP!!!
IM FAILING MATH!
Answers
If the pattern in the table is extended to represent more equivalent ratios for 2:6, which pair of numbers would be Colums?
A) 20 would be in the column for 2, and 69 would be in the column for 6
B) 20 would be in the column for 6, and 60 would be in the column for 2,
C) 20 would be in the column for 2, and 56 would be in the column for 6.
D) 20 would be in the column for 6, and 56 would be in the column for 2.
Answers
Answer:
I believe it's B
Step-by-step explanation:
Solve the system by substitution.
- 2x – 10y = -2
-4y = x
Answers
Answer:
x = -4 and y = 1
Step-by-step explanation:
hope this helps please like and mark as brainliest
Graph the solution set for 4y+3x-y> -6x+12
Answers
Answer:
XSdfgfcxdcd
Step-by-step explanation:
angelina drove at an average rate of 80 kmh and then stopped 20 minutes for gas. after the stop, she drove at an average rate of 100 kmh. altogether she drove 250 km in a total trip time of 3 hours including the stop. which equation could be used to solve for the time t in hours that she drove before her stop?
Answers
The equation that could be used to solve for the time t in hours that she drove before her stop is 80t + 100(8/3 - t) = 250.
An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question. An equation is the equality of expressions.
Let t = time she drove before her stop
If the total trip time is 3 hours including the stop, which took 20 minutes, then the time she drove after the stop is 3 - t - 1/3 or 8/3 - t.
If altogether she drove a distance of 250 km, then the sum of the products of the rate of speed and time each drive is equal to 250.
(80 km/h)(t) + (100 km/h)(8/3 - t) = 250
Simplify the equation.
80t + 100(8/3 - t) = 250
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only answer mean with explanation please
Answers
The mean is 3.5
Answer:
Hello,
3.85
Step-by-step explanation:
\(Number\ of\ customers=3+0+5+3+7+2=20\\\\mean=\dfrac{1*3+2*0+3*5+4*3+5*7+6*2}{20} =\dfrac{77}{20} =3.75\)
23 (9x – 6) = 4(x + 2) + 2
Answers
Answer:I believe it is x=0.73
Step-by-step explanation:
The value of x for the given expression 23 (9x – 6) = 4(x + 2) + 2 is 0.729.
What is an expression?An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that all are constrained and create an equation.
As per the given expression,
23 (9x – 6) = 4(x + 2) + 2
Multiply 23 on the left-hand side and 4 on the right-hand side
207x - 138 = 4x + 8 + 2
207x - 138 = 4x + 10
Subtract 4x on both sides
207x - 4x - 138 = 4x - 4x + 10
203x - 138 = 10
Add 138 on both sides
203x = 148
Divide 203 on both sides,
x = 148/203
x = 0.729
Hence "The value of x for the given expression 23 (9x – 6) = 4(x + 2) + 2 is 0.729".
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how do we get the answer?
Answers
6
Step-by-step explanation:
area of 1 rectangle= area of 2 rectangle
x(x+4) = (2x+3)(x-2)
x² + 4x = 2x² - 4x + 3x - 6
x² + 4x = 2x² - x - 6
x² + 4x - 2x² + x + 6 = 0
-x² + 5x + 6 = 0
x² - 5x - 6 = 0
x² - 6x + x - 6 = 0
x(x - 6) + 1(x - 6)=0
(x+1)(x-6)=0
x = 6,-1
You are given two 4-sided dice and three 6-sided dice. If a dice is picked randomly, what is the probability of rolling exactly a 1 ?
Answers
The probability of rolling exactly a 1 when a dice is picked randomly from two 4-sided dice and three 6-sided dice is 0.4 or 40%.
To calculate the probability of rolling exactly a 1 when a dice is picked randomly from two 4-sided dice and three 6-sided dice, we need to determine the total number of dice and the number of dice that have a 1 as a possible outcome.
There are two 4-sided dice and three 6-sided dice, so the total number of dice is 2 + 3 = 5.
Out of these five dice, we need to determine how many have a 1 as a possible outcome.
Among the two 4-sided dice, there is only one die (out of two) that has a 1 as a possible outcome.
Among the three 6-sided dice, there is also one die (out of three) that has a 1 as a possible outcome.
Therefore, there are a total of two dice that have a 1 as a possible outcome.
The probability of rolling exactly a 1 when a dice is picked randomly is calculated by dividing the number of favorable outcomes (two dice) by the total number of possible outcomes (five dice):
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 2 / 5
Probability = 0.4
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captain rusczyk tracked down a pirate who had stolen $2345 {6}$ dollars worth of goods from his ship. after winning an epic duel, the captain demands that the pirate return $41324 {5}$ dollars. how much has the pirate gone in debt due to his encounter with rusczyk? express your answer in base $10$.
Answers
The pirate has gone into debt by $38,979 in base 10 due to his encounter with Captain Rusczyk.
To determine the amount of debt, we need to calculate the difference between the value of the goods the pirate stole and the amount demanded by Captain Rusczyk. The pirate initially stole $2345_6, which means it is in base 6. Converting this to base 10, we have $2\times6^3 + 3\times6^2 + 4\times6^1 + 5\times6^0 = 2\times216 + 3\times36 + 4\times6 + 5\times1 = 432 + 108 + 24 + 5 = 569$.
Captain Rusczyk demanded $41324_5, which means it is in base 5. Converting this to base 10, we have $4\times5^4 + 1\times5^3 + 3\times5^2 + 2\times5^1 + 4\times5^0 = 4\times625 + 1\times125 + 3\times25 + 2\times5 + 4\times1 = 2500 + 125 + 75 + 10 + 4 = 2714$.
Therefore, the pirate has gone into debt by $569 - 2714 = -2145$. Since the pirate owes money, we consider it as a negative value, so the pirate has gone into debt by $38,979 in base 10.
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What would be coordinates of the image(13,570)
Answers
An employee is considering two job offers.
First offer: $74,000 yearly salary with a 6% matching 401k
Second offer: $75,000 yearly salary with a 5% matching 401k
The employee plans to stay at either job for at least 5 years, assumes there are no salary increases, and will make 401k contributions at the same rate the company matches.
After 5 years, the total value of the first offer, including gross income and total 401k contributions, is $414,400.
Which job has the better overall pay structure, and by how much?
O The second job offer is better by $1,900.
O The first job offer is better by $1,900.
O The second job offer is better by $13,000.
O The first job offer is better by $13,000.
Answers
Answer:
B. The first job offer is better by $1,900.
Step-by-step explanation:
As explained in the lesson you calculate the total value of the offer by following these steps:
Find the annual contribution amount$74,000 * 0.06 = $4,440Multiply by 2 (if matching)
$4,440 * 2 = $8,880Add annual income
$8,880 + $74,000 = $82,880Multiply by number of years worked
$82,880 * 5 = $414,400
You can follow the same steps for the other offer. You'll find that its annual contributions come out to be $1,900 less than the first offer.
\(414,400 - 412,500=1900\)