Examine the algebraic expression. 15. 2 StartFraction x over 6 EndFraction minus 5. 5 y StartFraction 5 over 6 EndFraction x 4 z minus x Which terms can you combine? Select all that apply. 15. 2 StartFraction 1 over 6 EndFraction x -5. 5y StartFraction 5 over 6 EndFraction x 4z -x.

The number of tractors lent by the first, second and third stations results in a system of three simultaneous equations which indicates;

The first originally station had 39 tractors, the second station had 21 tractors and the third station originally had 12 tractors

Simultaneous equations are a set of two or more equations that have common variables.

Let x represent the number of tractors at the first station, let y represent the number of tractors at the second tractor station, and let z, represent the number of tractors at the third tractor station

According to the details in the question, after the first transaction, we get

Number of tractors at the first station = x - y - z

Number of tractors at the second station = y + y = 2·y

Number of tractors at the third station = z + z = 2·z

After the second transaction, we get;

Number of tractors at the first station = 2·x - 2·y - 2·z

Number of tractors at the second station = 2·y - (x - y - z) - 2·z = 3·y - x - z

Number of tractors at the third station = 2·z + 2·z = 4·z

After the third transaction, we get;

Number of tractors at the first station = 2 × (2·x - 2·y - 2·z) = 4·x - 4·y - 4·z

Number of tractors at the second tractor station = 6·y - 2·x - 2·z

Number of tractors at the third tractor station = 4·z - (2·x - 2·y - 2·z) - (3·y - x - z) = 7·z - x - y

The three equations after the third transaction are therefore;
4·x - 4·y - 4·z = 24...(1)

6·y - 2·x - 2·z = 24...(2)

7·z - x - y = 24...(3)

Multiplying equation (2) by 2 and subtracting equation (1) from the result we get;

12·y - 4·x - 4·z - (4·x - 4·y - 4·z) = 16·y - 8·x = 48 - 24 = 24

16·y - 8·x = 24...(4)

Multiplying equation (3) by 2 and multiplying equation (2) by 7, then adding both results, we get;

14·z - 2·x - 2·y = 48

42·y - 14·x - 14·z = 168

42·y - 14·x - 14·z + (14·z - 2·x - 2·y) = 48 + 168

40·y - 16·x = 216...(5)

Multiplying equation (4) by 2 and then subtracting the result from equation (5), we get;

40·y - 16·x - (32·y - 16·x) = 216 - 48 = 168

8·y = 168

y = 168/8 = 21

The number of tractors initially at the second station, y = 21

16·y - 8·x = 24, therefore, 16 × 21 - 8·x = 24

8·x = 16 × 21 - 24 = 312

x = 312 ÷ 8 = 39

The number of tractors initially at the first station, x = 39

7·z - x - y = 24, therefore, 7·z - 39 - 21 = 24

7·z = 24 + 39 + 21 = 84

z = 84/7 = 12

The number of tractors initially at the third station, z = 12

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Actually Welcome to the Concept of the Linear equations,

All the points are satisfied by the equation

B.) y= -1/4(x) +3

B.) is the Answer.

The requried, 140% is equivalent to 7/5 as a fraction, 1 2/5 as a mixed number, and 2 as a whole number.

To write 140% as a fraction, we first recognize that "percent" means "per hundred," so 140% can be written as the fraction 140/100. We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor (GCF), which is 20:

140/100 = 7/5

To write 7/5 as a mixed number, we divide the numerator by the denominator and express the result as a whole number plus a fraction. In this case:

7 ÷ 5 = 1 with a remainder of 2

So 7/5 can be written as the mixed number 1 2/5.

To write 7/5 as a whole number, we can round it to the nearest whole number. Since 7/5 is greater than 1.5 and less than 2.5, it rounds to 2.

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Answer:

26

Step-by-step explanation:

w = 5 so 7w is 7 x 5 = 35 and x = 9 so it’s 35 - 9 which is 26

Answer: $4,914

Step-by-step explanation:

To calculate the final balance in Brandon's account, we need to use the formula for compound interest: A = P(1 + r/n)^(nt)

where A is the final balance, P is the initial investment, r is the interest rate, n is the number of times the interest is compounded per year, and t is the time in years.

In this case, we have:

P = $11,000

r = 1% = 0.01

n = 4 (because the interest is compounded quarterly)

t = 20

so, A = $11,000(1 + 0.01/4)^(4*20) = $11,000(1.0025)^80 = $22,817.20

To calculate the final balance in Robert's account, we need to use the same formula, but with different values for r, n, and t.

In this case, we have:

P = $11,000

r = 13/100 = 0.13

n = 12 (because the interest is compounded monthly)

t = 20

so, A = $11,000(1 + 0.13/12)^(12*20) = $11,000(1.01083333)^240 = $27,731.34

To find the difference in the final balances, we subtract the final balance in Brandon's account from the final balance in Robert's account:

$27,731.34 - $22,817.20 = $4,914.14

To the nearest dollar, the difference is $4,914.

Answer:391

Step-by-step explanation:

Answer:

trick question

Step-by-step explanation:

The equation cannot be answered since if you add like terms you have 3 x on each side but different total values

You would use the CHARINDEX string function to locate the index of the first character of the first occurrence of a substring within another string.

The CHARINDEX() function is defined as returning the substring's location within the given string. Like the SUBSTRING function, it operates in reverse.

⇒ Syntax of CHARINDEX() function is CHARINDEX (substring, input_string)

Substring: Here, we specify the substring within the input string that we wish to look for. A maximum of 8000 characters may be used in this argument.

Input_string: The input string is defined in this argument.

Therefore, You would use the CHARINDEX string function to locate the index of the first character of the first occurrence of a substring within another string.

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The derivatives of b(t) with respect to t will be d(b(t))/dt = - ωacos(kx - ωt)

We have been given b(t) = asin(kx - ωt)

Hence, we need to find db(t)/dt

We will treat a, k, x, and ω as constants since no information is provided.

We will be using the chain rule to find the derivative

First, we consider sin as an individual term to get-

a______

Next, we know that the derivative of sin is cos Hence we get

acos(kx - ωt)______

Now we will move on to the terms in the brackets

Here kx is a constant so the derivative of this will be 0.

Hence we get left with - ωt

here the differentiation will clearly be - ω

Hence we get the final derivative

d(b(t))/dt = - ωacos(kx - ωt)

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Correct Question

what is the derivative of b(t) with respect to t for b(t) = asin(kx - ωt)

if x = -1 and y= -3

y= 2x-1

-3=2(-1)-1

-3= -2-1

-3= -3

if x=0and y = -1

y=2x-1

-1=2(0)-1

-1=0-1

-1= -1

if x=1 and y=1

y=2x-1

1=2(1)-1

1=2-1

1=1

if x=2 and y=3

y=2x-1

3=2(2)-1

3=4-1

3=3

SO IT'S CORRECT ❤

THANJ YOU

The to your question is that we can use the normal distribution to estimate the probability that the product will last between 16.536 and 8.054 years.


In this case, we want to calculate the probability for x = 16.536 and x = 8.054. The mean (μ) is 14.242 years, and the standard deviation (σ) is 3.978 years.

Using the formula, we can calculate the z-scores for both values:
For x = 16.536: z = (16.536 - 14.242) / 3.978
For x = 8.054: z = (8.054 - 14.242) / 3.978

Once we have the z-scores, we can look up the corresponding probabilities in the standard normal distribution table or use a calculator. Subtracting the probability for the lower z-score from the probability for the higher z-score will give us the probability that the product will last between 16.536 and 8.054 years.

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Answer:

Pick two points from the graph. X1 y1 and x2 y2. Example points from your graph:

(4,1) and (-4,3)

x1=4

y1=1

x2=-4

y2=3

Step-by-step explanation:

To find slope take the points you got from graph and put it into the equation y2-y1/x2-x1

3-1/-4-4=-2/8=-1/4

Then take that slope u got and plug into this equation to find equation of the line

y-y1=m(x-x1)

y-1=-1/4(x-4)=y-1=1/4x+(1/4)(4)

y-1=-1/4x+1

+1 +1

——————

y=-1/4x+2 ANSWER CHECK

m=slope! Which is -1/4

y=-1/4x+2 is your answer!!

Answer:

d

Step-by-step explanation:

d is the one with both a y squared and x squared making it an ellipse or oval

Answer:

5P5 × 20P15

Step-by-step explanation:

i think...

sorry if im wrong

good luck

Answer:

\(\boxed{\sf n= \dfrac{2}{5} ,\: n=1}\)

Step-by-step explanation:

\(\rightarrow 5n^2 = 7n -2\)

\(\rightarrow 5n^2 - 7n +2=0\)

\(\rightarrow 5n^2 - 5n -2n+2=0\)

\(\rightarrow 5n(n - 1) -2(n-1)=0\)

\(\rightarrow (5n-2)(n-1)=0\)

\(\rightarrow 5n-2= 0,\: n-1=0\)

\(\rightarrow 5n= 2,\: n=1\)

\(\rightarrow n= \dfrac{2}{5} ,\: n=1\)

Step-by-step explanation:

\(\hookrightarrow\sf{5n^2 = 7n -2}\\\\\hookrightarrow\sf{5n^2 - 7n +2=0}\\\\\hookrightarrow\sf{5n^2 - (5+2)n +2=0}\\\\\hookrightarrow\sf{5n^2 - 5n -2n+2=0}\\\\\hookrightarrow\sf{ 5n(n - 1) -2(n-1)=0}\\\\\hookrightarrow\sf{ (5n-2)(n-1)=0}\\\\\hookrightarrow\sf{ 5n-2= 0\:or~ n-1=0}\\\\\hookrightarrow\sf{ 5n= 2\:or~n=1}\\\\\hookrightarrow\bold{ n= \dfrac{2}{5} \:or~ n=1}\)

To find the z-score needed to get accepted into the University of Michigan (U of M) with an ACT score of at least 31, we can use the mean and standard deviation of the ACT scores distribution from 2015 to 2017.

The mean is 20.9, and the standard deviation is 5.6.

The z-score measures how many standard deviations an individual's ACT score is above or below the mean. We can calculate the z-score using the formula: z = (x - μ) / σ, where x is the ACT score, μ is the mean, and σ is the standard deviation.

For the desired ACT score of 31, we can calculate the z-score as follows:

z = (31 - 20.9) / 5.6 ≈ 1.82

Therefore, the z-score needed to get accepted into U of M with an ACT score of at least 31 is approximately 1.82, rounded to the nearest hundredth.

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Answer:

bro u just add them together

Step-by-step explanation:

5685+22643=28,328

The value of the given expression using PEDMAS is -19.

A set of guidelines called the order of operations establishes the sequence in which mathematical operations must be carried out. The following is the order: The acronym PEMDAS or PEDMAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). In order to guarantee that numerical methods are examined correctly and consistently, it is crucial to adhere to the sequence of operations. Even without order of operations, mathematical expressions could be unclear and confusing, which could result in various outcomes depending on how the statement is understood.

The given expression is:

x/y + x - (y + 3)²

Substitute the value of x = 4 and y = 2.

4/2 + 4 - (2 + 3)²

First solve the calculations inside the parentheses:

4/2 + 4 - (5)²

Solve the exponents:

4/2 + 4 - 25

Solve the division:

2 + 4 - 25

Finally perform the addition and then subtraction:

6 - 25 = -19

Hence, the value of the given expression in simplified form is -19.

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Answer:

x=-1 y=2

Step-by-step explanation:

Use Elimination or Substitution (Elimination shown below)

6x+5y=4

6x-7y =-20 <- Multiply by -1

-6x+7y=20

12y = 24

y=2

Plug back into either of the equations and solve for x.

6x + 10= 4

6x = -6

x = -1

Double check work:

-6+10 = 4

Answer:

Step-by-step explanation:  Hello!

I don't remember all of the postulates to these, but I hope this will help you! Vertical angles are congruent, so both angles SRT and PRQ are congruent.  This also means that line segments PQ and ST are congruent.  You also know that angles Q and S are congruent which is given.  By the ASA Theorem, when two angles and a side are congruent, then the triangles are congruent.

\( \huge \green{ \boxed{ANSWER}}\)

\(10 \: + \: 9 \: = {\boxed{19}}\)

USE CALCULATOR -_-

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STAN TREASURE

Answer:

19

Step-by-step explanation: 10 +9 = 19

Answer:

\(f^{-1}(x)=\sqrt[3]{x}-6\)

Step-by-step explanation:

\(f(x)=(x+6)^3\)

\(y=(x+6)^3\)

\(x=(y+6)^3\)

\(\sqrt[3]{x}=y+6\)

\(\sqrt[3]{x}-6=y\)

Answer:

its A, B, C, or D

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Slope and a point that is not an intercept is the information about the graph of the relationship is given.

The rate of painting is 8 m²/h.

28 square meters of the room are still left to paint after three hours. Let y represent the area in square meters that needs painting after x hours. We require a corresponding (x,y) pair in order to describe a point on a graph. In our situation, we require data on the rate of change in the correlation between the area still needing painting and the time after business hours. Hiro can paint eight square meters per hour. Thus, the equation Y = 8x, or the associated slope, is 8. (1)

By entering the number Y = 28 square meters into the previous formula 28 = 8X

=> X = 7/2

It is not an intercept but the point (7/2, 28).

Alternatively put, the location that is not the intersection with the slope

Your question is incomplete but most probably your full question was

Hiro painted his room. After 3 hours of painting at a rate of 8 square meters per hour, he had 28 square meters left to paint. Let y represent the area (in square meters) left to paint after x hours.

Which of the following information about the graph of the relationship is given?

a)Slope and x-intercept

b) Slope and y-intercept

c)X-intercept and y-intercept

d) Y-intercept and a point that is not an intercept

e)Two points that are not intercepts

f)Slope and a point that is not an intercept

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The given two-way Frequency table, there are 33 left-handed students who are not in the music program.

The number of left-handed students who are not in the music program, we need to examine the data presented in the two-way frequency table.

From the table, we can see that the number of left-handed students in the music program is 15, and the total number of left-handed students is 48.

the number of left-handed students not in the music program, we subtract the number of left-handed students in the music program from the total number of left-handed students.

Number of left-handed students not in the music program = Total number of left-handed students - Number of left-handed students in the music program

Number of left-handed students not in the music program = 48 - 15

Calculating this, we find that the number of left-handed students not in the music program is 33.

Therefore, there are 33 left-handed students who are not in the music program, based on the data provided in the two-way frequency table.

In conclusion, based on the given two-way frequency table, there are 33 left-handed students who are not in the music program.

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The chance that the hospital will run out of sleeping pills on any given day is 0.5000 (or 0.5000 with four decimal places).

To calculate the chance that the hospital will run out of sleeping pills on any given day, we can use the normal distribution and Z-score.

First, let's calculate the Z-score using the formula:

Z = (X - μ) / σ

Where:

X = consumption rate per day (1,155 pills)

μ = average consumption rate per day (1,155 pills)

σ = standard deviation (81 pills)

Z = (1,155 - 1,155) / 81

Z = 0

Now, we need to find the probability associated with this Z-score. However, since the demand for sleeping pills can be considered continuous and not discrete, we need to calculate the area under the curve from negative infinity up to the Z-score. This represents the probability of not running out of sleeping pills.

We discover that the region to the left of a Z-score of 0 is 0.5000 using a basic normal distribution table or statistical software.

To find the probability of running out of sleeping pills, we subtract this probability from 1:

Probability of running out of sleeping pills = 1 - 0.5000

Probability of running out of sleeping pills = 0.5000

Therefore, on any given day, the hospital has a 0.5000 (or 0.5000 with four decimal places) chance of running out of sleeping tablets.

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Answer:

1 acre is equal to 43,560 square feet.

(hope this help's let me know if not.)

Answer:

The answer is true.

Step-by-step explanation:

\( \frac{4}{6} = \frac{14}{21} \\ 84 = 84\)

Because the last equation, 84=84, is true, then the ratios are true.