Answer:
n=7
r=2
combination=7*2=14☺️
Awnser : 14
Explanation : N = 7 An R = 2 ∴ 7 × 2 = 14
Hoped This Helped Have a Nice Day :)
Can someone help with this please?
Answer:
here's the answer
Step-by-step explanation:
y= -3/2x -10
PLSS HELP!!
Explain the process to simplify the rational expression including any domain restriction.
Explain why there are domain restrictions.
Simplify: 2x²+13x+20
———————
2x2+17x+30
the denominator will be zero when. \(x=-2\)or \(x=-7.\) Therefore, the domain of the expression is all real numbers except \(x=-2\) and \(x=-7\).
What is factor?In mathematics, factoring refers to the process of finding the factors of a given number or expression. Factors are numbers or expressions that can be multiplied together to obtain the original number or expression. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12, because these are the numbers that can be multiplied in pairs to obtain 12 (e.g. 2 x 6 = 12).
In algebra, factoring involves breaking down an algebraic expression into simpler expressions that can be multiplied together. This is done by finding common factors or using techniques such as difference of squares, perfect squares, or grouping. Factoring is an important tool in algebra, as it can help simplify complex expressions and solve equations.
To simplify a rational expression, follow these steps:
Step 1: Factor both the numerator and denominator if possible. For example, in the expression you provided, the numerator can be factored as\((2x+5)(x+4)\)and the denominator can be factored as \((2x+15)(x+2)\).
Step 2: Cancel out any common factors in the numerator and denominator. In this case, both the numerator and denominator have a common factor of (2x+5), which can be cancelled out.
Step 3: Simplify the remaining expression. After cancelling out the common factor, the simplified expression becomes:
\((2x+5)(x+4) / (2x+15)(x+2) = (x+4) / (x+2)(2x+15)\)
Domain restrictions occur when a value of x makes the denominator equal to zero, because division by zero is undefined. In this case, the denominator will be zero when x=-2 or x=-7. Therefore, the domain of the expression is all real numbers except x=-2 and x=-7.
It is important to identify any domain restrictions before simplifying a rational expression to ensure that the final expression is valid for all values of x in its domain.
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i don't understand how to do this.. can someone help, please
The possible values for angles 1, 2, and 3 given that lines a and b are parallel lines include the following:
m∠1 = 60°.m∠2 = 120°.m∠3 = 60°.What are parallel lines?In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet or intersect.
Note: Assuming angle 1 is equal to 60 degrees.
In Mathematics and Geometry, the vertical angles theorem states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other:
m∠1 ≅ m∠3 = 60°.
Based on the linear pair postulate, the measure of angle 2 can be determined as follows;
m∠1 + m∠2 = 180°
60° + m∠2 = 180°
m∠2 = 180° - 60°
m∠2 = 120°
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Select the correct answer. Maria donates a fixed amount, a, to a charity each month. If she donates $300 in 12 months, what is the equation for a? A. a + 300 = 12 B. a × 300 = 12 C. a × 12 = 300 D. a + 12 = 300 E. a + 32 = 100
Answer: C
she donates a for 12 months, the 12 in the a * 12=300. the a is the fixed amount, meaning she will donate a 12 times in a year.
After the party, a bag of ice weighs 7/8 pound. Before the party, the bag of ice weighed 3 times as much. How many pounds did the bac
party?
Drag the pointer to its correct location on the number line to show the weight of the bag of ice before the party.
3
4
Weight of Bag of Ice Before Party
2
4
Finish Late
The weight before the party could be any positive number
The weight of the bag of ice after the party was 7/8 pounds. So we can set up an equation:
x - weight used at the party = 7/8
We know that the weight used at the party is the weight before the party minus the weight after the party.
So we can substitute 3x for the weight before the party:
3x - (7/8) = weight used at the party
We don't know the exact weight used at the party, but we do know that it was less than or equal to the weight before the party.
So we can set up another inequality:
weight used at the party ≤ 3x
Putting it all together:
3x - (7/8) ≤ 3x
Simplifying:
-(7/8) ≤ 0
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5/6x=-20 what is the answer
Answer:
x = -24
Step-by-step explanation:
5/6x = -20
5x = -120
x = -24
A fair die with its faces numbered from 1 to 6 will be rolled. Which of the following is the best interpretation of the probability that the number landing face up will be less than 3?
For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 1/3
For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 1/2
For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 2/3
For three rolls of the die, a number less than 3 will land face up one time.
It will take three rolls of the die before a number less than 3 lands face up for the first time.
The best interpretation of the probability that the number landing face up will be less than 3 is \(\frac{1}{3}\).
For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is \(\frac{1}{3}\).
As per the given question a fair die with its faces numbered from 1 to 6 will be rolled.
Here we have to calculate the probability that the number landing face up will be less than 3.
The event of the number landing face up will be less than 3 is exhaustive, mutually exclusive, and independent face of a die = 6
(1, 2, 3, 4, 5, 6)
Favorable number of faces of a die = 2
(1, 2)
Since the number landing faces up will be less than 3.
Therefore the probability that the number landing face up will be less than 3
\(=\frac{\text { Favourable Number }}{\text { Total Number }}$\)
\(& =\frac{2}{6} \\\)
\(& =\frac{1}{3}\)
Therefore the best interpretation of the probability that the number landing face up will be less than 3 is \(\frac{1}{3}\)
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The long-run relative frequency of a number less than 3 landing face up is 2/3.
The best interpretation of the probability that the number landing face up will be less than 3 is that for many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 2/3. This can be expressed mathematically as P(x<3) = 2/3, where P(x) is the probability of the number landing face up being less than 3.
For a single roll of the die, the probability of a number less than 3 landing face up is 1/2. This is because there are three numbers (1,2,3) which are less than 3, and 6 possible outcomes. Therefore, the probability of any one of those three numbers landing face up is 3/6, or 1/2.
For multiple rolls of the die, the probability of a number less than 3 landing face up is the sum of the probabilities of each of those three numbers landing face up. This can be expressed mathematically as P(x<3) = (1/2) + (1/2) + (1/2), or 2/3.
Therefore, for many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 2/3.
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PLEASE HELP ME FIND THE SIDE OF THE SQUARE
Answer: 6 inches
Step-by-step explanation:
Side length = 6 in.
Diagonal = 6\(\sqrt{2}\) = 8.49 rounded
Perimeter = 24 in
Area = 36 in²
18- A clothing store sells a shirt costing $20 for $33 and a jacket costing $60 for $93.
(i) If the markup policy of the store is assumed to be linear, write an equation that expresses retail price R
in terms of cost C.
(ii) What does a store pay for a suit that retails for $240?
(i) (a) R = 1.5C + 12
(b) R = 1.5C+3
(c) R = 3C + 1.2
(d) R = 3C +1.5
(ii) (a) 158
(b) 185
(c) 155
(d) 188
I cant solve this and I need steps while solving it.
Please help! Correct answer only, please! Consider the following information matrices for the price of clothing at a clothing store: Which of the following correctly describes? A. Cost of a Small Green t-shirt and a Large pair of Blue Jeans B. Cost of a Large Blue t-shirt and a Medium pair of RC Jeans C. Cost of a Small Green t-shirt and a Medium pair of RC Jeans D. Cost of a Large Blue t-shirt and a Large pair of Blue Jeans
Answer: b) Large blue t-shirt & Medium RC jeans
Step-by-step explanation:
The subscript numbers attached to the matrix letter represents the:
ROW, COLUMN
\(A=\left[\begin{array}{ccc}a_{1,1}&a_{1, 2}&a_{1, 3}\\a_{2,1}&a_{2, 2}&a_{2, 3}\\a_{3,1}&a_{3, 2}&a_{3, 3}\end{array}\right] \qquad B=\left[\begin{array}{ccc}a_{1,1}&b_{1, 2}&b_{1, 3}\\b_{2,1}&b_{2, 2}&b_{2, 3}\\b_{3,1}&b_{3, 2}&b_{3, 3}\end{array}\right]\\\)
A₁,₃ = 1st row, 3rd column
1st row is Blue, 3rd column is Large
B₃,₂ = 3rd row, 2nd column
3rd row is RC jeans, 2nd column is Medium
A₁,₃ + B₃,₂ = Large blue t-shirt & Medium RC jeans
2 2/3 +2 1/6 as a fraction
Answer:
You can either write it as a whole number: 4 5/6
Or as 29/6
Step-by-step explanation:
Step-by-step explanation:
first step : convert both terms into real fractions (not mixed numbers).
second step : bring both fractions to the same denominator (bottom part).
third step : perform the addition.
1.
2 2/3 = (2×3 + 2)/3 = 8/3
2 1/6 = (2×6 + 1)/6 = 13/6
2.
we bring both fractions to .../6.
remember, we need to do the same multiplication for the numerator and the denominator to keep the overall value of the fraction unchanged.
to get from 3 to 6 we need to multiply by 2.
so,
8/3 = 8/3 × 2/2 = 16/6
3.
16/6 + 13/6 = 29/6
if you want to convert this to mixed numbers, this would be
29/6 = (4×6 + 5)/6 = 4 5/6
The line segment joining the points P(-3,2) and Q(5,7) is divided by the y-axis in the ratio:
Answer:
Step-by-step explanation:
The line segment joining two points P and Q can be represented by the equation of a straight line in the form y = mx + b, where m is the slope and b is the y-intercept.
To find the equation of the line, we need to find the slope, which can be calculated using the formula:
m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the points P and Q, respectively.
In this case, the coordinates are:
P = (-3, 2) and Q = (5, 7)
So, the slope is:
m = (7 - 2) / (5 - (-3)) = 5 / 8
Next, we can use either of the points to find the y-intercept. Let's use point P:
b = y - mx, where y and x are the y and x coordinate of the point, respectively.
In this case,
b = 2 - m * (-3) = 2 - (5/8) * (-3) = 2 + 15/8 = 89/8
So, the equation of the line joining the points P and Q is:
y = (5/8)x + 89/8
Now, to find the point where the line crosses the y-axis, we need to find the x-coordinate of the point where y = 0.
So, we have:
0 = (5/8)x + 89/8
Solving for x, we get:
x = -(89/8) / (5/8) = -89 / 5
This means that the line crosses the y-axis at the point (-89/5, 0). To find the ratio in which the line segment is divided by the y-axis, we need to find the ratio of the distance from the y-axis to point P to the distance from the y-axis to point Q.
Let's call the point of intersection with the y-axis R. The distances are then:
PR = (3, 2) and QR = (5 - (-89/5), 7)
The ratio of the distances is then:
PR / QR = (3, 2) / (5 - (-89/5), 7) = 3 / (5 + 89/5) = 3 / (94/5) = 15/47
So, the line segment joining the points P and Q is divided by the y-axis in the ratio 15:47.
Please help, this is on final. I need how you got the answer and what the answer is.
Answer:
Angle 1 is congruent to the angle that is supplementary to angle 2. Angle 2 is also congruent to angle 3 due to the Corresponding angles theorem. Since angle 2 is supplementary to angle 1 and angle 3 is congruent to angle 2. This shows that angle 1 and angle 3 are supplementary.
Step-by-step explanation:
Answer:
I can't see it that wel..?m
square root of ten to the nearest tenth
Answer:
3.2hope helpful <3 !!!!!!!
Answer:
3.2
Step-by-step explanation:
Step 1: Calculate
We calculate the square root of 10 to be:
√10 = 3.16227766016838
Step 2: Reduce
Reduce the tail of the answer above to two numbers after the decimal point:
3.16
Step 3: Round
Round 3.16 so you only have one digit after the decimal point to get the answer:
3.2
The volume of a cylinder is 5070 pi cm3. If the height is 30 cm, what is the radius?
Answer:
r =13
Step-by-step explanation:
on the picture
If it's helpful ❤❤
THANK YOU.
Evaluate this expression.
112.212 - (- 3.25)
Answer:
115.462
Step-by-step explanation:
Answer: 115.462
Step-by-step explanation:
To start, the first thing we can observe is two negative signs, which we know turns into a positive sign.
Therefore, we now have:
112.212 + 3.25
115.462
Hope this helps!
what is the image point of (-6,1) after a translation left 2 units and down 3 units
Answer:
(-8, -2)
Step-by-step explanation:
Subtract 2 from -6, so -6 -2 which gives -8.
Subtract 3 from 1 so, 3-1 = -2.
Answer:I just had to do this in Math class and the answer is (-8,-2)
Step-by-step explanation:
What is the largest integer n with no repeated digits that is relatively prime to 6?
Note that two numbers are considered relatively prime if they share no common factors besides 1.
Answer: 987654301
Step-by-step explanation:
The factors of 6 are 2 and 3:
2*3 = 6.
So we want a big number that is no divisible by 2 or 3.
Then:
The number can not end in 0, 2, 4, 6 or 8.
The addition of the digits can not add to a multiple of 3.
If we want to construct the largest number possible, we should try to use the largest number at the beginning, so we have:
9876543210
but we can not end in 0, so we can write this as:
9876543201
but 9 + 8 +7 + 6 +5 + 3 + 2 + 1 = 45, it is a multiple of 3, so we should discard one of these numbers, lets discard the 1, as it is the smaller one.
we can write:
987654203 but if instead we remove the 2, we can leave the 3 in the place and get:
987654301 that is bigger, it ends with an odd number so it is not a multiple of 2, and the addition of all the digits adds up to 44, so this is not a multiple of 3.
Then this is the answer,
You start at (0,-4). You move left 1 unit and right 4 units. where do you end?
If you start at (0,-4) and you move left 1 unit and right 4 units, you end at (3, -4)
Calculating the endpoint of the pointFrom the question, we have the following parameters that can be used in our computation:
Start = (0, -4)
Also, we have
You move left 1 unit and right 4 units
Mathematically, this can be expressed as
(x, y) = (x - 1 + 4, y)
Substitute the known values in the above equation, so, we have the following representation
Endpoint = (0 - 1 + 4, -4)
Evaluate the expression
Endpoint = (3, -4)
Hence, the endpoint is (3, -4)
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100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
The probability that a point chosen at random lies on the shaded region is given as follows:
4/7.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
The area of the shaded region in this problem is given as follows:
4² = 16.
The total area of the figure is given as follows:
16 + 2 x 1/2 x 3 x 4 = 28.
Hence the probability is given as follows:
16/28 = 4/7.
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There are 63 students marching in a band, and they’re marching in 7 rows. How many students are in each row?
which of the following is most likely the next step in the series
Answer:
A.
Step-by-step explanation:
Let's think of this as a clock. We can see that the 2 lines start in the same place, around 3 o'clock. Next, one of the line segments shifts down to around 6 o'clock. Next, it shifts to about 9 o'clock. Logically, the next step (in a clock) would be 12 o'clock, making A the correct choice.
We can also just use a regular circle, with one of the line segments moving 90 degrees each time.
Hope this helps! :)
Question 1 (1 point)
In the context of elevation, what would | -7 | feet mean?
O a
O b
Oc
Od
The vertical distance between the point at 7 feet and sea level (0 feet).
The vertical distance between the point at -7 feet and sea level (0 feet).
The horizontal distance between the point at 7 feet and sea level (0 feet).
The horizontal distance between the point at -7 feet and sea level (0 feet).
The correct answer is option (b) The vertical distance between the point at -7 feet and sea level (0 feet)
What is elevation?
The elevation is the height of an object or point above a given reference point, usually sea level. It is often used to describe the height or altitude of a geographic location, such as a mountain peak or a city, and is commonly measured in feet or meters.
In the context of elevation, | -7 | feet would mean the vertical distance between the point at -7 feet and sea level (0 feet).
The vertical distance between two points is calculated by taking the absolute value of the difference between their elevations. So, in this case, the absolute value of -7 is 7, which means the point is 7 feet below sea level.
The correct answer is option (b) The vertical distance between the point at -7 feet and sea level (0 feet).
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What is the answer to the following equation:
1 + 1 = x
Answer:
1 + 1 = x
X = 2.
don't delete my answer this time.
again.. if you are so smart why didn't you solve it yourself.
I know how you'll take revenge.
by deleting. my answer ? you can do that if you want.
cause ill still get the point tho. LOL.
There are 32 chickens and 12 sheep on a farm. The ratio of sheep to horses is 4:1. Write a ratio expressing the relationship between the chicken and the sheep. Then explain what that ratio means. Determine the number of horses on the farm.
This means that for every 1 sheep on the farm, there are 0.25 horses. To find the total number of horses, we can multiply the number of sheep by 0.25:
\(12 * 0.25 = 3\)
What is ratio?Ratio refers to the quantitative relationship between two or more quantities, expressing the proportion of one quantity to the other(s). It is typically expressed as a fraction, where the numerator represents one quantity, and the denominator represents the other quantity.
For example, the ratio of the number of boys to the number of girls in a class of 30 students might be expressed as 2:3, which means there are 20 girls and 10 boys in the class. Similarly, the ratio of the length to the width of a rectangle might be expressed as 4:3, indicating that the length is four times greater than the width.
The ratio of sheep to horses is 4:1, which means that for every 4 sheep on the farm, there is 1 horse. We can also say that the total ratio of sheep and horses on the farm is 4+1=5.
To express the relationship between the chickens and the sheep, we need to use the fact that there are 32 chickens and 12 sheep on the farm. We can write this as a ratio:
\(chickens : sheep = 32 : 12\)
We can simplify this ratio by dividing both sides by 4:
\(chickens: sheep = 8: 3\)
This means that for every 8 chickens on the farm, there are 3 sheep.
To determine the number of horses on the farm, we can use the fact that the total ratio of sheep and horses is 5. We know that the ratio of sheep to horses is 4:1, so we can write:
\(sheep : horses = 4 : 1\)
We can simplify this ratio by dividing both sides by 4:
\(sheep : horses = 1 : 0.25\)
This means that for every 1 sheep on the farm, there are 0.25 horses. To find the total number of horses, we can multiply the number of sheep by 0.25:
\(12 * 0.25 = 3\)
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from the smith chart, find the normalized input admittances corresponding to the following normalized input impedances:
The normalized input admittances are the inverse of the normalized input impedances and can be found on the Smith Chart.
The Smith Chart is a graphical tool used to quickly calculate the reflection coefficient, impedance, admittance, and other characteristics of a transmission line. To find the normalized input admittances corresponding to the normalized input impedances, we first need to find the normalized reflection coefficient for the given normalized input impedances. This can be done by locating the given normalized impedance on the Smith Chart and then determining the normalized reflection coefficient from the radial and angular coordinates. Once the normalized reflection coefficient has been determined, the normalized input admittance can be found by using the formula Y = 1/Z. The normalized input admittance is then located on the Smith Chart in the same manner as the normalized input impedance, using the radial and angular coordinates.
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As the assistant to the CFO of Johnstone Inc., you must estimate its cost of common equity. You have been provided with the following data: D0 = $0.85; P0 = $22.80; and g = 7.00% (constant). Based on the DCF approach, what is the cost of common equity?
On solving the provided question, we got to know that - the cost of common equity is 11.84
What does equity ?Equity in mathematics education is defined by the National Council of Teachers of Mathematics as high standards and rewarding opportunities for everyone, addressing disparities to assist all kids learn mathematics, and making sure that all classrooms have resources and support for students.
here, the above question we have -
D0 = $0.85;
P0 = $22.80;
g = 7.00%
= 700
Answer is - The cost of common equity is 11.84
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The closure property of subtraction of two numbers a and b is possible only if
Answer:
a, b and a - b all come from the same set
Step-by-step explanation:
"Closure" for an operation means that the two numbers and the answer after the operation is done all come from the same set of numbers.
Example: The set of positive integers (counting numbers) is closed under addition -- (positive integer) + (positive integer) = (positive integer)
But the set of positive integers is not closed under subtraction -- 8 - 10 = (not a positive integer)
What is the area of the rectangle
below?
Answer:
Area of rectangle = l×b= 3 1/4 × 1 1/2
= 31/8 = 4 7/8
Assume that 2 cards are drawn from a standard 52-card deck. Find the following probabilities.
a) Assume the cards are drawn without replacement. Find the probability of drawing a club followed by a club.
b) Assume the cards are drawn with replacement. Find the probability of drawing a club followed by a club.
a. The probability of drawing a club followed by a club without replacement is
(Simplify your answer.)
b. The probability of drawing a club followed by a club with replacement is
(Simplify your answer.)
Answer:
A.0.059 , B.0.063
Step-by-step explanation:
1. There are 13 clubs in a pack of 52 cards;
Hence the probability of picking the first club is 13/52;
The probability of picking the second is 12/ 51( remember one card has been removed already so the total number of cards decreases).
Probability of picking two clubs in succession is ;
13/52 × 12/51 = 0.0588 = 0.059( to the nearest thousandth).
2. The probability of drawing a club followed by a club with replacement is;
13/52 × 13 /52 = 0.0625 = 0.063( to the nearest thousandth)