make k the subject of P=3km+8

Answer:

6x+2

Step-by-step explanation:

Answer:combine your like terms and solve to get the width .

Step-by-step explanation:

Answer:

x^3(-x+3)(x+3)

Step-by-step explanation:

-x^5 + 9x^3

factor out x^3

x^3(-x^2+9)

9 and -x^2 are perfect squares so we can factor out a 3 and an x to get (-x+3)(x+3)

the fully factored form would be x^3(-x+3)(x+3)

Answer:

-x^3(x - 3)(x + 3).

Step-by-step explanation:

-x^5+9x^3

the greatest common factor = x^3 so we can write it as

x^3(-x^2 + 9)

= -x^3(x^2 - 9)

The expression in the parentheses is the difference of 2 squares so we have:

-x^3(x - 3)(x + 3)   Answer.

Answer:

nsnsjsjsnsnznnznzznznz

The measure of the angle AFE or m∠AFE is 173 degrees option (B) 173 is correct if the angle AFB = 25 degrees, Angle BFC = 57 degrees, Angle CFD = 34 degrees, and Angle DFE = 57 degrees.

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

We have angles shown in the picture.

Angle AFB = 25 degrees

Angle BFC = 57 degrees

Angle CFD = 34 degrees

Angle DFE = 57 degrees

Angle AFE is the sum of the angle AFB, Angle BFC, Angle CFD, and Angle DFE.

Angle AFE = Angle AFB + Angle BFC + Angle CFD + Angle DFE

Angle AFE = 25 + 57 + 34 + 57

Angle AFE = 173 degrees

Thus, the measure of the angle AFE or m∠AFE is 173 degrees option (B) 173 is correct if the angle AFB = 25 degrees, Angle BFC = 57 degrees, Angle CFD = 34 degrees, and Angle DFE = 57 degrees.

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To calculate the annualized rate of return, we can use the formula for compound interest. The correct answer is 11.66%.

The formula for compound interest is given by: A = P(1 + r)^t, where A is the final amount, P is the principal amount, r is the annual interest rate, and t is the time in years.

In this case, the initial investment (P) is BD 14,000, the final amount (A) is BD 52,600, and the time (t) is 12 years. We need to solve for the annual interest rate (r).

\(BD 52,600 = BD 14,000(1 + r)^{12}\)

By rearranging the equation and solving for r, we find:

\((1 + r)^{12} = 52,600/14,000\)

Taking the twelfth root of both sides:

\(1 + r = (52,600/14,000)^{(1/12)}\\r = 0.1166 / 11.66 \%\)

Therefore, Areej has earned an annualized rate of approximately 11.66% on this investment.

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Answer:

0.16666666666667.

Step-by-step explanation:

The size of the largest 10%( 10th percentile) of bladder volumes among men ≈ 416.8 ml.

To find the size of the largest 10% of bladder volumes among men, we need to calculate the corresponding z-score and then use it to find the corresponding value from the standard normal distribution.

Mean bladder volume for men is 550 ml and the standard deviation is 100 ml, we can calculate the z-score using the formula:

z = (x - μ) / σ

where x is the desired value, μ is the mean, and σ is the standard deviation.

To find the z-score for the 10th percentile (largest 10%), we can use the inverse standard normal distribution function (also known as the quantile function or the percent-point function).

This function gives us the z-score corresponding to a given percentile.

Using a statistical software or calculator, we can find the z-score corresponding to the 10th percentile (0.10).

Let's assume the z-score is denoted as z10.

We can calculate the corresponding value in milliliters (x10) using the formula:

x = μ + z * σ

Substituting the values for men:

μ = 550 ml

σ = 100 ml

percentile = 0.10

Using the software or calculator, we find that the z-score corresponding to the 10th percentile (largest 10%) is approximately -1.282.

Now, we can calculate the size of the largest 10% of bladder volumes among men (x10):

x10 = μ + z10 * σ

x10 = 550 + (-1.282) * 100

x10 ≈ 416.8 ml

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The solution of the given system of equations is x = -4, y = 5 and z = 2 is the answer.

The system of equations given below:x + 2y + 3z = 11;2x + 4y + 5z = 21;3x + 5y + 6z = 27.

Here, we will solve this system of equations using inverse of the matrix method as follows:

We can write the given system of equations in matrix form as AX = B where, A = [1 2 3; 2 4 5; 3 5 6], X = [x; y; z] and B = [11; 21; 27].

The inverse of matrix A is given by the formula: A-1 = (1/ det(A)) [d11 d12 d13; d21 d22 d23; d31 d32 d33]  where,

d11 = A22A33 – A23A32 = (4 × 6) – (5 × 5) = -1,

d12 = -(A21A33 – A23A31) = -[ (2 × 6) – (5 × 3)] = 3,

d13 = A21A32 – A22A31 = (2 × 5) – (4 × 3) = -2,

d21 = -(A12A33 – A13A32) = -[(2 × 6) – (5 × 3)] = 3,

d22 = A11A33 – A13A31 = (1 × 6) – (3 × 3) = 0,

d23 = -(A11A32 – A12A31) = -[(1 × 5) – (2 × 3)] = 1,

d31 = A12A23 – A13A22 = (2 × 5) – (3 × 4) = -2,

d32 = -(A11A23 – A13A21) = -[(1 × 5) – (3 × 3)] = 4,

d33 = A11A22 – A12A21 = (1 × 4) – (2 × 2) = 0.

We have A-1 = (-1/1) [0 3 -2; 3 0 1; -2 1 0] = [0 -3 2; -3 0 -1; 2 -1 0]

Now, X = A-1 B = [0 -3 2; -3 0 -1; 2 -1 0] [11; 21; 27] = [-4; 5; 2]

Therefore, the solution of the given system of equations is x = -4, y = 5 and z = 2.

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[Mathematical Situation]

Simplify the expression.

\(-1-\frac{2}{3} (\frac{6}{7}-\frac{3}{7}n)\)

Solution:

\(-\frac{11}{7}+\frac{2n}{7}\)

Hope this helps!

The simplified expression is -1 - 4/7 + (2/7)n.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

-1 - 2/3 (6/7 - (3/7)n)

Distributive operation.

= -1 - 2/3 x 6/7 + 2/3 x (3/7)n

= -1 - 4/7 + (2/7)n

Thus,

The simplified expression is -1 - 4/7 + (2/7)n.

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Let's take a look at our table here in order to solve the problem. We need to know what g(0) and g(4) are to be able to solve.

Since we are plugging in x-values and looking for y-values, we simply need to find 0 and 4 on the left side of the table (the x side), and then find their corresponding g(x), or y, values.

g(0) = -5

g(4) = -4

Now, all that's left to do is add these two values.

-5 + -4

-9

Hope this helps!! :)

Answer:

- 9

Step-by-step explanation:

g(0) = - 5 ← value of g(x) when x = 0

g(4) = - 4 ← value of g(x) when x = 4

Then

g(0) + g(4) = - 5 + (- 4) = - 5 - 4 = - 9

Answer:

4

Step-by-step explanation:

42*2=84

84/21

Answer:

Step-by-step explanation:

Given parabola:

Its transformations from the parent function g(x) = x² are:

Correct choice is C

The parametric equations for the line of intersection are:
x = 61 - 5t
y = 2t - 30
z = t

To find the parametric equations for the line of intersection of the given planes, we first need to solve the system of equations:

1. x + 2y + z = 1
2. 2x + 5y + 32 = 4

Step 1: Solve for x from equation 1:
x = 1 - 2y - z

Step 2: Substitute x in equation 2 with the expression found in step 1:
2(1 - 2y - z) + 5y + 32 = 4

Now we can use elimination to solve for one variable. Let's eliminate y by multiplying the first equation by 5 and subtracting it from the second equation:

Step 3: Simplify and solve for y:
2 - 4y - 2z + 5y + 32 = 4
y - 2z = -30

Step 4: Designate z as the parameter t:
z = t

Step 5: Substitute z with t in the expression for y:
y = 2t - 30

Step 6: Substitute z with t in the expression for x:
x = 1 - 2(2t - 30) - t
x = 1 - 4t + 60 - t
x = 61 - 5t

Now we have the parametric equations for the line of intersection:
x = 61 - 5t
y = 2t - 30
z = t

Note that we can choose any value of z for the parameter t, since z is unconstrained.

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To solve 4222 - 2451 using the left-to-right algorithm, we start with the thousands place and subtract 2 from 4, which gives us 2. Then we move to the hundreds place and realize that we cannot subtract 4 from 2, so we need to borrow from the thousands place.

We start by subtracting the thousands place digits, then the hundreds, the tens, and finally the ones.

Starting with the thousands place, we have:

4 - 2 = 2

So we write down 2 as the leftmost digit of the answer.

Moving to the hundreds place, we have:

2 - 4 = -2

Since we cannot subtract 4 from 2, we need to "borrow" from the thousands place. We can do this by subtracting 1 from the 2 in the thousands place, making it a 1, and adding 10 to the hundreds place, making it 12.

Now we have:

12 - 4 = 8

So we write down 8 as the second digit of the answer.

Moving to the tens place, we have:

2 - 5 = -3

Again, we need to borrow. We can subtract 1 from the 1 in the thousands place, making it 0, and add 10 to the tens place, making it 12.

Now we have:

12 - 5 = 7

So we write down 7 as the third digit of the answer.

Finally, we move to the ones place:

2 - 1 = 1

So we write down 1 as the last digit of the answer.

Putting it all together, we have:

4222 - 2451 = 1771

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Answer: 3

Step-by-step explanation: 74 divided by 6 = 12.333

The total sum of squares for a between-groups ANOVA is found by adding the between-group sum of squares (BGSS) and the within-group sum of squares (WGSS) together.

To calculate the total sum of squares, follow these steps:

1. Calculate the between-group sum of squares (BGSS): This represents the variability between the different groups. You can calculate BGSS by finding the squared differences between each group's mean and the overall mean, and then multiplying each squared difference by the number of observations in that group. Finally, sum up these values.

2. Calculate the within-group sum of squares (WGSS): This represents the variability within each group. To calculate WGSS, first find the squared differences between each individual observation and its group mean. Then, sum up these squared differences across all groups.

3. Add the between-group sum of squares (BGSS) and the within-group sum of squares (WGSS) to find the total sum of squares for the between-groups ANOVA.

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Answer:

No Mason is not correct you would use fractions and find a common denominator such as 12 and 2/3 would be 8/12 and 3/4 would be 9/12 therefore the two ratios are not equivelent

No, the statement is not correct.

Ratio is the comparison of two quantities which is obtained by dividing the first quantity by the other. If a and b are two quantities of the same kind and with the same units, such that b is not equal to 0, then the quotient a/b is called the ratio between a and b. Ratios are expressed using the symbol of the colon (:). This means that ratio a/b has no unit and it can be written as a : b

The example given here is not relevant.

This is because if 2:3 is added by 1/1

gives 3/4 or 3:4

but  3:4 cannot be more simplified.

So, let us make the equivalent denominator for both

2/3*4*4= 8/12

3/4*3/3=9/12

So, 2:3 ≠3:4

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The variable represented in the statement "record the percentage change in the price of a stock for 100 stocks publicly traded on wall street." is a Quantitative Variable .

The Quantitative variables are defined as numerical which represent a measurement or a count.

In the statement :  the percentage change in the price of a stock is a numerical representation of the amount of change in the price of a stock, expressed as a ratio or a percentage.

Therefore ,  the variable "percentage change in the price of a stock" is a quantitative variable because it is numerical and represents a measurement of change in the price of a stock.

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The amount of tip joe gave rounded to the nearest cent is

$13.70

Joe's Bill = $54.99

Tip = 25% of $54.99

Let us solve for the amount of the tip

Amount of tip = 25/100*$54.99

Amount of tip = 0.25*$54.99

Amount of tip = $13.7475

Rounding to the nearest cent we have

Amount of tip = $13.70

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Answer:

------------------------------

Answer:

x = 39

Step-by-step explanation:

The equation is,

→ (x - 4)/5 - (x + 1)/6 = 1/3

Now the value of x will be,

→ (x - 4)/5 - (x + 1)/6 = 1/3

→ 6(x - 4)/30 - 5(x + 1)/30 = 1/3

→ (6x - 24)/30 - (5x + 5)/30 = 1/3

→ (6x - 24 - 5x - 5)/30 = 1/3

→ x - 29 = (1/3) × 30

→ x - 29 = 30/3

→ x = 10 + 29

→ [ x = 39 ]

Hence, the value of x is 39.

We can create a total number of 10 prime numbers from the set {1, 3, 6, 7}.

Given that,

The number is either 1-digit or 2-digit.

In the case of 1-digit, the only 1-digit primes are 3 and 7, for a total of 2 primes.

In the case of 2-digit, We have the following combinations of numbers: 13, 16, 17, 36, 37, 67, 76, 73, 63, 71, 61, 31. Out of these 12 numbers, it is easier to count the composites: 16, 36, 76, and 63 for a total of 4 composites, which we subtract from the original 12 numbers to yield 12-4=8 prime numbers.

Thus, We can create a total number of 10 prime numbers from the set {1, 3, 6, 7}.

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Answer:

B.2.5

Step-by-step explanation:

The equation would be

\(-4x +8 = 2x -7\)

I believe that you would know how to solve this.

You could also sub in 2.5 for the x to check.

Good Luck!!!!!

Answer:

18. 56

19. 132

20. 55

21. 120

22. 129.5

23. 61.3

Step-by-step explanation:

First look at the lines arrangment

angle 1+angle 5=180 and according to corresponing angles theorem angle 5 and angle 2 are equivalent. Angle 1+4=180

180-124=56

Angle 2+3=180

180-48=132

According to corresponding angles

angle 4=angle 7 and angle 7=angle 2 meaning angle 4=5

so angle 5=2

Like everything opposite to each other is conr=gruent

angle 8=angle 1 and angle 1=angle 6

means both angle 6 and 8 are congruent.

LOOK angle 7+3=180 means angle 2+6=180

so if ANGLE 7=50.5

6=3

180-50.5=129.5

23. angle 6 and 3 are congruent and as you know angle 7+3=180 and angle 2+6=180

angle 3+angle 6=180

180-118.7=61.3

18. Measure of angle 1=124 then angle 4=56

19.Angle 2= 48 then angle 3=132

20.Angle 4=55 then angle 2=55

21. angle 6=120 then angle 8=120

22.angle 7=50.5 then angle 6=129.5

23.angle 3=118.7 then angle 2=61.3

Hope this helps!!

It's mostly corresponding angles and theorems rules.

Answer:

y = -6x^2 + 15x -5

Step-by-step explanation:

equation step 1 for parabola

y2-y1 /x2-x1

= 1 - 4 / 0 - - 1

= -3 / 1

y = -3

We try again different points  

y2-y1 / x2-x1

= 7 - 1 / 2 - 0

= 6 / 2

y = 3

we can see that one side is descending and 1 side is ascending

The start of the parabola is 0,1 as x = 0 and crosses the line.

we try again

y2-y1 /x2-x1

7-1 / 2-0

= 6 / 2

y = 3

You should know that a parabola is determined by 3 points, so unless your points happen to be collinear, they will determine a parabola. A straight forward, if not always the easiest way would be to take the general equation

y = ax^2 + bx + c

plug in each point, eg.y = y1   and x = x1   eg) y = y2 and x = y2   eg) y = y3 x=x3

Top equation re-used last see at end.

4 = a(-1)^2  + b(-1 ) + c  = a+b+c=4

1  = a(0)^2 +b(0) + c = c =1

7 = a(2)^2 + b(2) + c = 4a+2b=7

a= -1-0 = -1   b = -1-0 = -1  and 4-1 = 3

-a +-b = 3

2nd set of equations

4a-0a = 4a

2b-0b = 2b

7-1 = 6

4a +2b=6  and previous

-a +-b = 3  here we can multiply by -2 to get 2b equality to 1st equation

2a + 2b = -6

4a + 2b = 6

2a = -12

2a = -12 / 2

a = -6

plug a

4(-6) + 2b = 6

-24 + 2b = 6

2b = 6 +24

2b = 30

b = 15

then put a + b+ c into top equation

(-6) + (15) + c = 4

9 + 0  = 4

9 -9 = 4 -9   cancel

c = -5

Then put into first equation as c and complete equation

To find that;

y = -6x^2 + 15x -5   =   is our equation of the parabola.

This is how to solve your two linear equations in three unknowns.

The equation of parabola passing through (-1, 4), (0, 1), and (2, 7) is y = 2x² - x + 1.

To find equation of parabola that passes through the given points, we use the general-form of quadratic equation: y = ax² + bx + c.

Since we have three points, we substitute the coordinates of each point into the equation to create a system of equations. Solve for a, b, and c:

Substitute (-1, 4), We get,

4 = a(-1)² + b(-1) + c,

4 = a - b + c,

Next, Substitute (0, 1):

1 = a(0)² + b(0) + c

1 = c

Next, Substitute (2, 7):

7 = a(2)² + b(2) + c

7 = 4a + 2b + c

Now, we have a system of equations:

a - b + c = 4          ...equation(1)

c = 1                      ...equation(2)

4a + 2b + c = 7     ...equation(3)

From equation(2), we know that c = 1. Substituting this into equation(1) and 3, we get,

a - b + 1 = 4

4a + 2b + 1 = 7

Solve equation(1) for a - b:

We get, a - b = 3,

Solve equation(3) for 4a + 2b:

4a + 2b = 6

Now we have a system-of-equations as :

a - b = 3

4a + 2b = 6

Solving the system for "a" and "b", We get,

a = 2; b = -1

Now we can write the equation of the parabola:

y = ax² + bx + c  ⇒  y = 2x² - x + 1,

Therefore, the required equation of parabola is y = 2x² - x + 1.

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It takes a machine at a seafood company 20 seconds to clean 3 pounds of shrimp. The rate of the machine is 0.15 pound per second

An equation is an expression that shows the relationship between two numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.

It takes a machine at a seafood company 20 seconds to clean 3 pounds of shrimp. Hence:

Rate of the machine = 3 pounds / 20 seconds = 0.15 pound per second

It takes a machine at a seafood company 20 seconds to clean 3 pounds of shrimp. The rate of the machine is 0.15 pound per second

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The distance of both the planes from the starting point will be  1029 miles.

This is a question of time, speed and distance.

Given that:-

Speed of jet plane = 480 mph

Speed of propeller plane = 200 mph

Also, the propeller plane has a 3 hour head start.

We have to find the distance of both the planes from the starting point.

When the jet plane overtakes the propeller plane both of them would have covered the same distance.

Let the time taken by the jet plane to overtake the propeller plane be t hours.

Hence, the propeller plane would have travelled for (t+3) hours.

Hence, we can write,

480*t = 200*(t+3)

480t = 200t + 600

280t = 600

t = 600/280 = 15/7 hours.

Hence, distance from both the planes from the starting point = (15/7)*480 = 1028.57 miles = 1029 miles.

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Answer: .775 lbs

Step-by-step explanation:

7 3/4 _> 7.75

7.75 / 10 = .775

Answer:

3.1 or 3.15

Step-by-step explanation:

yeahhh!

Answer:

Yes.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

8x + 3y = 20

x + 4y = 17

(1, 4)

Step 2: Check

Plug and verify the coordinates is a solution.

∴ Since both equations work out, (1, 4) is a solution to the systems of equations.