Answer:
Step-by-step explanation:
Are you after a solution for y?
quotient of y and 3 is a fancy word for division
y/3+9=10
To solve for y subtract 9 from both sides
y/3+9-9=10-9
y/3=1
To solve for y
multiply both sides by 3
3(y/3)=1*3
y=3
there are six tennis players and each week for a month (four weeks), a different pair of the six play a tennis match. how many ways are there to form the sequence of 4 matches so that every player plays at least once
The four matches can be sequenced in 1350 different ways, ensuring that each player gets to play at least once.
What is a sequence?A sequence is an enumerated collection of things in mathematics where repetitions are allowed and order is important. It includes members, much like a set (also called elements, or terms). A sequence can be formalized as a function from natural numbers (the positions of sequence elements) to the elements at each place. An indexed family, which is a function from any index set, can be thought of as a generalization of the concept of a sequence.
The final matches can be between any two players after we have made sure that every player has played at least one match (except those three matches played)
We can select any two players from a pool of six for the first game =[tex]6_{c_{2} }[/tex]
We can select either of the two players from a total of four for the second match is [tex]4_{c_{2} }[/tex]
We have a choice of two players for the third game.=[tex]2_{c_{2} }[/tex]
Any of the two players from the pool of six can be selected for the fourth match= [tex]6_{c_{2} }[/tex]
P(x) =[tex]6_{c_{2} }[/tex]×[tex]4_{c_{2} }[/tex] ×[tex]2_{c_{2} }[/tex] × [tex]6_{c_{2} }[/tex]
P(x) = 15 × 6 × 1 × 15
P(x) = 1350
Therefore, the four matches can be arranged in 1350 different ways, ensuring that each player gets to play at least once.
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!!!Select all of the true statements that James can use as evidence to support the converse of the Pythagorean theorem.!!!!
James wants to informally prove the converse of the Pythagorean theorem by producing some evidence that supports it.
Recall that the converse of the Pythagorean theorem states:
If a triangle has side lengths a, b, and c such that a^2 + b^2 = c^2 , then that triangle is a right triangle.
James is going to construct several triangles with different side lengths and use a protractor to determine if the triangles turn out to be right triangles.
Select all of the true statements that James can use as evidence to support the converse of the Pythagorean theorem.
The only triangle dimensions that give a right angle triangle are;
3) 15, 36, 39
4) 15, 20, 25
6) 16, 30, 34
How to identify a right angle triangle?We are told that If a triangle has side lengths a, b, and c such that;
a² + b² = c² , then that triangle is a right triangle.
1) Using Pythagoras theorem, we can say that;
15² + 18² ≠ 21²
Thus, this is not a right angle triangle.
2) Using Pythagoras theorem, we can say that;
16² + 20² ≠ 24²
Thus, this is not a right angle triangle.
3) Using Pythagoras theorem, we can say that;
15² + 36² = 39²
Thus, this is a right angle triangle.
4) Using Pythagoras theorem, we can say that;
15² + 20² = 25²
Thus, this is a right angle triangle.
5) Using Pythagoras theorem, we can say that;
16² + 32² ≠ 48²
Thus, this is not a right angle triangle.
6) Using Pythagoras theorem, we can say that;
16² + 30² = 34²
Thus, this a right angle triangle.
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Determine if the following values represent a function, and if they do, find f(-7)
(-7,9) (-4,10) (2,6) (-6,3)
The given coordinates represent a function and at f(-7) equals to 9.
What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.We have the following coordinates -
(-7, 9) (-4, 10) (2, 6) (-6, 3)
Yes, these coordinates represent a function as a unique value of [x] has only one value of [y]. At x = -7, we can write -
f(-7) = 9
Therefore, the given coordinates represent a function and at f(-7) equals to 9.
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What is the correct order of steps for bisecting segment AB?
A. Draw a line from point C to point D.
B. Keeping the compass the same width, place the compass on point B, and swing an arc above and below the segment.
C. Place points C and D on the intersection of the arcs created above and below segment AB.
D. Place the compass on point A, and open it wider than half the distance of the segment.
E. Swing an arc above and below the segment.
Answer: E
Step-by-step explanation:
How do you evaluate 20P2?
Answer:
Explanation:
The general formula for a permutation is
nPr=n!/n-r!
n=20and r=2, so our equation becomes
20P2=20!/18!=(20×19)=380
Step-by-step explanation:
question content area top part 1 shannon says that the lines y, y , y, and y could represent the sides of a rectangle. explain shannon's error.
The four equations' coefficients of x can only take two values, thus if one of those values is m, the other solution will be -1/m.
What is the equation?A relation between different terms on either side of the equal sign is described by a straightforward equation.
Simple equations also follow one or a mixture of the four arithmetic computations of addition, simple arithmetic, multiplication, and division.
There are three primary versions of the set of equations: point-slope form, standard form, or slope-intercept form.
So, Shannon's error would be:
In a rectangle, the adjoining sides are perpendicular to one other, whereas parallel runs between the opposing sides.
The slope of parallel lines is equal, and the slope, of a line perpendicular to some other line with a slope, m, is -1/m , thus the slopes of the central axis should be equal, which also gives:
Two sets of systems of equations with equal slopes should make up the equation: B. Y = -x + 6 and Y = -x - 5 are a pair.
Therefore, the slopes of the other two lines are -1/-1 = 1 and the equations of the other two lines are y = x - 4 and y = x - 5 correspondingly.
Therefore, the four equations' coefficients of x can only take two values, thus if one of those values is m, the other solution will be -1/m.
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Correct question;
Shannon says that the lines y=-3x-4,y=-(1)/(3)x+6,y=-4x-5, and y=(1)/(4)x-5 could represent the sides of a rectangle. Explain Shannon's error.
Austin's final exam in math had two parts. He had a total of 50 minutes to complete the entire exam. He spent 25 minutes on Part one of the exam.write and solve an equation to show how much time he had left to solve part two
The time Austin had left to solve part two will be 25 minutes.
How to illustrate the equation?It is important to note that an equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
In this case, Austin's final exam in math had two parts. He had a total of 50 minutes to complete the entire exam.
Since he spent 25 minutes on Part one of the exam, the time he had left to solve part two will be:
t = 50 - 25
t = 25
The time is 25 minutes.
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which model can be used to find 4/5 divided by 1/10
Answer:
8
Step-by-step explanation:
(4/5)/(1/10)
To solve, flip the second fraction, and instead of dividing, multiply:
(4/5)/(1/10) = (4/5) * (10/1)
Multiply straight across:
(4/5) * (10/1) = (4 * 10)/(5 * 1) = 40/5
SImplify. Divide:
40/5 = 8
8 is your answer.
Hope it helps
2. in a random sample of 1200 persons aged 65 and over, the proportion with osteoarthritis was found to be 0.115 (or 11.5%) (a) what is the standard error for the estimate of the proportion of all person aged 65 and over with osteoarthritis?
The standard error for the estimate of the proportion of all persons aged 65 and over with osteoarthritis is 0.0092.
The subset chosen from the larger set to make assumptions is known as a random sample. Standard Error can be defined as the term that measures the accuracy of the sample distribution which represents the population.
We know that,
Standard Error = √ ( P ( 1 - P ) / n ) → 1
As per the given question,
n = 1200P = 0.115Substitute the values in 1,
Standard Error ( SE ) = √ ( P ( 1 - P ) / n )
= √ ( 0.115 ( 1 - 0.115 ) / 1200 )
= √ ( 0.115 ( 0.885 ) / 1200 )
= √ ( 0.101775 / 1200 )
= √ ( 0.0000848125)
Standard Error ( SE ) = 0.0092093702 ≅ 0.0092
Therefore, 0.0092 is the standard error for the estimate of the proportion of all persons aged 65 and over with osteoarthritis.
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!!please help!!
Match each system of equations with the number of solutions the system has. 1. No solutions 2. One solution 3. Infinitely many solutions A. y=-4/3x+4 y=-4/3x-1 B. y=4x-5 y=-2x+7 C. 2x+3y=8 4x+6y=17 D. y=5x-15 y=5(x-3)
A. y = - (4/3)x + 4. y = - (4/3)x - 1 has No solution.
B. y = 4x - 5. y = - 2x + 7 has one solution.
C. 2x + 3y = 8. 4x + 6y = 17 has No solution.
D. y = 5x - 15. y = 5(x - 3) has Infinitely many solutions.
What is the graphical solution of a system of equations?Graphical solutions of a system of equations are a way of finding the intersection points of all the equations given.
We are given graph each system of equations, If they intersect at one point they have one solution, if they are parallel to each other they have no solution and if they are coinciding with each other they have infinitely many solutions.
y = - (4/3)x + 4.
y = - (4/3)x - 1.
These are parallel lines no solution thus we have;
y = 4x - 5.
y = - 2x + 7.
These lines intersect at (2, 3) one solution thus we have;
2x + 3y = 8
4x + 6y = 17.
They are parallel to each other thus we have;
y = 5x - 15.
y = 5(x - 3).
These are coinciding lines, if we distribute the terms hence infinitely many solutions.
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All of the following equations have the same solution except _____. X + 6. 5 = 6. 3 7. 5 x = 1. 5 = 0. 04 -1. 8 + x = -1. 6.
All of the following equations have the same solution except x + 6.5 = 6.3 , the correct option is (c) .
In the question ,
four equations are given ,
we have to select the option that has a different solution form the given options .
Part(a) the equation is 7.5x = 1.5
simplifying further ,
we get ,
x = 1.5/7.5 = 0.2
Part(b) the equation is x/5 = 0.04
simplifying further ,
we get ,
x = 5*0.04 = 0.2
Part(c) the equation is x + 6.5 = 6.3
simplifying further ,
we get ,
x = 6.3 - 6.5 = -0.2
Part(d) the equation is -1.8 + x = -1.6
simplifying further ,
we get ,
x = -1.6 + 1.8 = 0.2
Therefore , the equation that is having a different solution (x = -0.2) is (c) x + 6.5 = 6.3 .
The given question is incomplete , the complete question is
All of the following equations have the same solution except _____.
(a) 7.5x = 1.5
(b) x/5 = 0.04
(c) x + 6.5 = 6.3
(d) -1.8 + x = -1.6
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the random variable x has mean 8 and standard deviation 2. the random variable w is defined as w=7 4x . what are the mean and standard deviation of w ?
The random variable x's mean and standard deviation are 8 and 2, respectively. W=7+ 4x is the formula for the random variable w. The mean of w is E(W) =39
Explain about the Mean?A dataset's mean is calculated by dividing the sum of all values by the total number of values. The term "average" is frequently used to describe it because it is the most widely used central tendency metric.
Divide the entire number of values by the total number of numbers to find the average. A mean is the term used to describe the mathematical average of a set of two or more data values. Average is also referred to as mean or arithmetic mean.
The mean is the average value of the data. It's easy to calculate: just add up all the numbers, then divide by the total number of numbers. Or, to put it another way, it is equal to the sum divided by the quantity.
The mean is then determined as follows:
E(W) = E (7 + 4X)
This results
E(W) = 7 + 4 E (X)
We thus have:
E(W) = 7 + 4 x 8
E(W) =39
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Standard deviation = 8 and mean = 39.
What is standard deviation?
The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean (also known as the anticipated value) of the collection.
Given, the formula for mean is E(W) = 7 + 4(X)
∴ E(W) = 7 + 4E(X)
Mean, E(X) equals to 8, hence substituting in the above equation, we get,
E(W) = 7 + 4×8
⇒E(W) = 39
Since, E(W) = 7 + 4(X)
Var(W) = Var(7) + Var(4X)
Since, Var(constant)=0,
Var(W) = Var(4X)
Var(W) = 4²×Var(X), where Var(X)=σₓ²
⇒ Var(W) = 16×σₓ², where σₓ²=2²
⇒ Var(W) = 16×4
⇒ Var(W) = 64
Standard Deviation (SD) = √64 = 8
Thus, standard deviation = 8 and mean = 39.
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7. Laura is conducting an experiment in which she draws a straw. Some of the straws are short,
and some are long. For each trial, she draws a straw, records the result, and replaces the
straw. The table shows the results of 50 trials of the experiment.
Laura will conduct 10 more trials of the experiment. Based on the results in the table, how many of these additional trials will have a result of a a short straw being drawn. :)
Answer:
7
Step-by-step explanation:
Experimental probability is based on the actual results of an experiment (gathered by experimenting repeatedly).
It is calculated by dividing the recorded number of times an event happens by the total number of trials in the actual experiment:
[tex]\boxed{\textsf{Experimental Probability} = \dfrac{\textsf{Number of times an event happens}}{\textsf{Total number of trials}}}[/tex]
As the number of trials increases, we would expect for the experimental probability to get closer to the theoretical probability.
Given:
Total number of trials = 50Recorded number of short straws = 35The experimental probability of drawing a short straw is:
[tex]\implies \sf P(short\;straw)=\dfrac{35}{50}=\dfrac{7}{10}[/tex]
If Laura conducts 10 further trials of the experiment, based on the results in the table, the number of additional trials that will have a result of a short straw being drawn is:
[tex]\begin{aligned}\implies \textsf{Additional trials (short straw)} &=\sf experimental\;probability \times number\;of\;trials\\&= \sf \dfrac{7}{10} \times 10\\&= \sf 7\end{aligned}[/tex]
13−0.75w+8x13, minus, 0, point, 75, w, plus, 8, x when w=12w=12w, equals, 12 and x=\dfrac12x=
2
1
x, equals, start fraction, 1, divided by, 2, end fraction.
The result after evaluating the expression is: 8
What is equations?
There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.
For this case we have the following expression:
13-0.75w + 8x
We must evaluate for the following values:
w = 12
x = 1/2
Substituting the values we have:
13- 0.75 * (12) + 8 * (1/2) = 8
The result after evaluating the expression is: 8
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in triangle ABC , seg XY || sideAC , If 2AX = 3BX and XY = 9 , then find the value of AC
The value of AC is 22.5
The property of three parallel lines and their transversals is used to solve this sum. The property explains that if the ratio of the corresponding intercepts made on any other transversal by the same parallel lines is the same as the ratio of the intercepts made on a transversal formed by three parallel lines.
XY ║seg AC
2AX = 3BX
XY = 9
Since, 2AX =3BX
∴ AX÷ BX = 3÷2
AX + BX÷ BX = 3+2÷2
AB ÷ BX = 5÷2
Δ BCA ~ ΔBYX (SAS test of similarity)
( The SAS similarity test determines whether two triangles are similar if the ratio of the lengths of two sides of one triangle equals the ratio of the lengths of two sides of another triangle, and the included angles are equal.)
∴ BA ÷ BX = AC ÷ XY ( Corresponding sides)
∴ 5÷ 2 = AC ÷ 9
∴ AC = 22.5
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Find sin (x - y) if sin x = 3/5 and cos y = 5/13. Assume both triangles are in quadrant 1.
The value of sin (x - y) of the triangles is -33/65
How to find the value of sin (x - y) of the triangle?Trigonometry is the branch of mathematics that deals with the relationship between ratios of the sides of a right-angled triangle with its angles
Given: sin x = 3/5 and cos y = 5/13. Both triangles are in quadrant 1
(Consider the image attached)
For triangle with angle x
adjacent = √(5²-3²) = 4
cos x = 4/5 (adjacent/hypotenuse)
For triangle with angle y
opposite = √(13²-5²) = 12
sin y = 12/13 (opposite/hypotenuse)
Using the trigonometric identity:
sin(x-y) = sinxcosy - sinycosx
sin(x-y) = (3/5)×(5/13) - (12/13)×(4/5)
sin(x-y) = 3/13 - 48/65
sin(x-y) = -33/65
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what beat frequencies are possible with tuning forks of frequencies 254, 257, and 262
The three beat frequencies possible with tuning forks are-
f1 = 9 Hz; f2 = 3Hz; f3 = 5Hz
Explain the term beat frequencies?Whenever two waves of similar frequencies travel along the same path and superimpose, a beat is created. The resulting wave's intensity changes as a result on a regular basis.The quantity of beats generated each second is known as the beat frequency.The absolute value of a difference in frequency between the two waves determines the beat frequency. The uses of beats, which developed from basic interference, are incredibly diverse. Show. Two-tone wave envelopeThe beat frequency occurs when two sound waves of different frequencies cross paths and, for a predetermined amount of time, their amplitudes are alternately added and subtracted. This causes the sound to get louder and weaker over time.The three beat frequencies are -
f1= 262 - 254 = 9 Hz
f2 = 257 - 254 = 3Hz
f3 = 262 - 257 = 5Hz
Thus, the possible beat frequencies of the turning fork are found.
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2. What is the area of a triangle whose vertices are
a. What is the formula for the area of the triangle?
b. Find the length of the base. Round to the nearest tenth if needed.
c. Find the length of the height. Round to the nearest tenth if needed.
d. Find the area of the triangle.
a) The formula for the area of the triangle is given as follows:
Area = 0.5 x base x height.
b. The length of the base is given as follows: 6.3 units.
c. The length of the height is given as follows: 5 units.
d. The area of the triangle is given as follows: 15.75 units squared.
How to obtain the area of a triangle?The area of a triangle is calculated as half the multiplication of the triangle's base by the triangle's height, as follows:
Area = 0.5 x base x height.
The vertices for the right triangle in this problem are given as follows:
(-4, -1), (2,1), (2,6).
Hence the base of the triangle is of:
[tex]B = \sqrt{(2 - (-4))^2 + (1 - (-1))^2} = 6.3[/tex]
The height is given as follows:
6 - 1 = 5.
Which means that the area of the triangle is of:
Area = 0.5 x 5 x 6.3 = 15.75.
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if sin(x y)=3x−2y, then dydx=
The derivative of the given function sin(xy)=3x−2y is obtained as;
dy/dx = 3sec(xy)/x - y/x
Explain the term differentiation?Differentiation is the process of separating something or someone from others. When you distinguish between two toothpaste brands, you draw attention to their differences. The word different is evident in differentiation.The given equation is-
sin(xy) = 3x − 2y
Be sure to account for both sides of this argument.
d/dx(sin(xy)) = d/dx(3x − 2y)
Differentiate the equation's left side.
Set the left side equal to a right side to reform the equation.
x.cos(xy).y' + y.cos(xy) = 3
Solve for y'.
y' = 3sec(xy)/x - y/x
Thus, replace y' with dy/dx
dy/dx = 3sec(xy)/x - y/x
Thus, the derivative of the given function sin(x y)=3x−2y is obtained as;
dy/dx = 3sec(xy)/x - y/x
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please help this is a checkpoint and it's due January 4
Answer:
a) [tex]\frac{5}{6}[/tex]
b) 18
Step-by-step explanation:
The unit rate is [tex]\frac{5}{18}[/tex].
This means that in 1 hour, you will travel [tex]\frac{5}{18}[/tex] of a mile.
distance = rate x time
d = [tex]\frac{5}{18}[/tex] x 3
d = [tex]\frac{5}{18}[/tex] [tex](\frac{3}{1})[/tex]
d = [tex]\frac{15}{18}[/tex] Divide the numerator and denominator by 3 to simplify.
d = [tex]\frac{15}{18}[/tex] ÷ [tex]\frac{3}{3}[/tex] = [tex]\frac{5}{6}[/tex]
d = rate x time
5 = [tex]\frac{5}{18}[/tex]t Multiply both sides by [tex]\frac{18}{5}[/tex]
[tex]\frac{18}{5}[/tex] [tex](\frac{5}{1})[/tex] = [tex]\frac{18}{5}[/tex][tex](\frac{18}{5})[/tex]t
18 = t
Kareem cannot decide which of two washing machines to buy. The selling price of each is $385. The first is
marked down by 30%. The second is marked down by 20% with an additional 10% off. Find the sale price of each
washing machine. Use pencil and paper. Explain why Kareem should buy the first washing machine rather than the
second if the machines are the same except for the selling price.
Answer:
$385 discounted by 30% the final price would be $269.50
$385 discounted by 20% the final price would be $308.00
$385 discounted by 10% the final price would be $346.50
Step-by-step explanation:
Answer:
The first option is cheaper and hence Kareem should buy it.--------------------------------------
The selling price is $385.
Option 130% off ⇒ $385×(1 - 0.3) = $385×0.7 = $269.5Option 220% off ⇒ $385×(1 - 0.2) = $385×0.8 = $30810% off ⇒ $308×(1 - 0.1) = $308×0.9 = $277.2As we see the first option is cheaper:
$269.5 < $277.2can someone explain how to simplify fourth, fifth, and sixth roots
Step-by-step explanation:
how to simplfy the fifth root
the fifth root us a number that would multiply itself 5 times example √ 243 will be 3×3×3×3×3 =243 hope i helped u that the only one that i can explain beterGiven g(x) = -2x + 1, solve for a when g(x) = 5.
Mr. Hann is trying to decide how many new copies of a book to order for his students. Each book weighs 6 ounces.
Which table contains only viable solutions if b represents the number of books he orders and w represents the total weight of the books, in ounces?
The table that contains only viable solutions if b represents the number of books he orders and w represents the total weight of the books, in ounces is the second table on the image given at the end of the answer.
How to obtain the viable solutions?The variables for this problem are given as follows:
The input variable b represents the number of books ordered.The output variable w represents the total weights of the books, in ounces.To obtain the viable solutions, we must consider the input variable. The number of books is a countable amount, meaning that it can only assume non-negative integer values.
Thus the first table is incorrect, as it contains a negative amount of books, and the second table is the one that contains only viable solutions in the context of this problem.
Missing InformationThe table is given by the image shown at the end of the answer.
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Solve the system by substitution.
y = 8x +6
10x - 5y = 30
x = -2 and y = -10 is the solution of the equations y = 8x +6 and 10x - 5y = 30.
What is Substitution method to solve equations?
The method of substitution involves three steps: Solve one equation for one of the variables. Substitute (plug-in) this expression into the other equation and solve. Resubstitute the value into the original equation to find the corresponding variable. he substitution method is the algebraic method to solve simultaneous linear equations.
Given Equations :
y = 8x +6
10x - 5y = 30
A) Solve equation [1] for the variable y
[1] y = 8x + 6
B) Plug this in for variable y in equation [2]
[2] -5•(8x+6) + 10x = 30
[2] - 30x = 60
C) Solve equation [2] for the variable x
[2] 30x = - 60
[2] x = - 2
D) By now we know this much :
y = 8x+6
x = -2
E) Use the x value to solve for y y = 8(-2)+6 = -10
Solution : {y,x} = {-10,-2}
Hence , x = -2 and y = -10 is the solution of the equations y = 8x +6 and 10x - 5y = 30.
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Sydney invests $100 every month into an account that pays 0.8% annual interest, compounded monthly. Benny invests $80 every month into an account that pays 2.2% interest, compounded monthly. Determine the amount In Sydney's account after l0 years.
[tex]~~~~~~~~~~~~\stackrel{\textit{\LARGE Sydney}}{\stackrel{\textit{payments at the beginning of the period}}{\textit{Future Value of an annuity due}}}[/tex]
[tex]A=pmt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]\left(1+\frac{r}{n}\right) \\\\ \qquad \begin{cases} A=\textit{accumulated amount} \\ pmt=\textit{periodic payments}\dotfill & 100\\ r=rate\to 0.8\%\to \frac{0.8}{100}\dotfill &0.008\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &10 \end{cases}[/tex]
[tex]A=100\left[ \cfrac{\left( 1+\frac{0.008}{12} \right)^{12 \cdot 10}-1}{\frac{0.008}{12}} \right]\left(1+\frac{0.008}{12}\right) \\\\\\ A=100\left[ \cfrac{\left( \frac{1501}{1500} \right)^{120}-1}{\frac{1}{500}} \right]\left(\frac{1501}{1500}\right) \implies {\Large \begin{array}{llll} A \approx 12497.05 \end{array}}[/tex]
jim is considering pursuing an ms in business analytics degree. he has applied to two different universities. the acceptance rate for applicants with similar qualifications is 30% for university x and 45% for university y. what is the probability that jim will be accepted at both universities?
The probability of acceptance of Jim at both the University as per given acceptance rate is equal to 0.135.
As given in the question,
Acceptance rate of Jim application at University x is equal to 30%
Acceptance rate of Jim application at University y is equal to 45%
Probability of acceptance of application in University x is:
P(x) = 30 /100
= 0.30
Probability of acceptance of application in University y is:
P(y) = 45 /100
= 0.45
Probability of acceptance of application at both the University is:
P(x and y) = P(x) × P(y)
= 0.30 × 0.45
= 0.135
Therefore, the probability of acceptance application at both the University is equal to 0.135.
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Rewrite in simplest terms: 6(0.7y+0.8z)−4z−6(−0.1z−0.6y)
Please help?
The simplified form can be written as -
7.8y + 1.4z
What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.
We have the following expression -
6(0.7y + 0.8z) − 4z − 6(−0.1z − 0.6y)
We have -
6(0.7y + 0.8z) − 4z − 6(−0.1z − 0.6y)
(6 x 0.7y + 6 x 0.8z) - 4z + 6 x 0.1z + 6 x 0.6y
4.2y + 4.8z - 4z + 0.6z + 3.6y
7.8y + 4.8z - 3.4z
7.8y + 1.4z
Therefor, the simplified form can be written as -
7.8y + 1.4z
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Factor each of the following. Find your answer below and notice the letter next to it. Write this letter in each box containing the number of that exercise. 1. X2 + 13x 12 2. X2 + 7x + 12 3. X2 + 7x + 6 4. X2+5x+6 5. X2+8x+15 6. X2+8x+12 7. X2-3x-28 8. X2-8x-33 9. X2-2x-15 10. X2+8x-33 11. X2+2x-15 12. X2-8x+15 answer: a. (x+2)(x+3) E. (x+1)(x+6) D. (x+4)(x+5) U. (x+4)(x+3) C. (x+2)(x+6) R. (x+1)(x+15) S. (x+1)(x+12) N. (x+3)(x+5) I. (x-3)(x+5) W. (x-5)(x+3) T. (x-3)(x-5) F. (x+7)(x-4) K. (x+4)(x-7) H. (x-7)(x-4) L. (x-11)(x+3) B. (x-3)(x+11)
this letter in each box that contains the exercise's number. Factoring polynomials can be a tricky process, but it can be done with practice and a few key steps.
The first step is to identify if the polynomial is a prime or a composite. A prime polynomial cannot be factored, while a composite polynomial can be factored into two linear factors. Then, look for two numbers that can be multiplied together to give the constant term, and two numbers that add together to give the coefficient of the x-term. Once you have identified these numbers, factor out the greatest common factor and then separate the remaining terms into two binomials. Finally, use the distributive property to factor the binomials and simplify. The answers are: A. (x+2)(x+3) E. (x+1)(x+6) D. (x+4)(x+5) U. (x+4)(x+3) C. (x+2)(x+6) R. (x+1)(x+15) S. (x+1)(x+12) N. (x+3)(x+5) I. (x-3)(x+5) W. (x-5)(x+3) T. (x-3)(x-5) F. (x+7)(x-4) K. (x+4)(x-7) H. (x-7)(x-4) L. (x-11)(x+3) B. (x-3)(x+11)
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the greatest amount of sap collected
The greatest amount of sap collected from any one tree is two times.
The maximum amount of sap that can be gathered from a single tree is two times greater than the minimum amount. SAP enables businesses to innovate on anything from cancer therapies to flood mitigation. We support life-saving research and are deeply committed to social responsibility and sustainability. At SAP, we collaborate to create innovations.
Work in a stimulating and rewarding environment by joining us. Minerals and nutrients can be found in tree sap. In the spring, when new buds are growing, a sticky substance that travels through the tree and out onto the branches helps the tree produce energy. Sugars are created as a result of photosynthesis and sent back into the tree, where they serve as sustenance for the tree's growth.
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Correct Question:
The greatest amount of sap collected from any one tree is _____________