Write the expression in radical form:

1) x^2/5

2) a^7/4

Answer:

12.5 miles

Step-by-step explanation:

1 mile= 4 min.

x miles= 50 min.

1/4 = x/50

*cross multiply

4x= 50

divide by 4

x= 12.5 miles

Answer:

37%

Step-by-step explanation:

10 + 10 + 17 = 37 with pets

20 + 29 + 14 = 63 with no pets

63 + 37 = 100 students regarding pets or no pets

37/100 = percentage of students with pets

37/100 = 0.37 = 37%

Hope This Helps! •v•

For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}, the process is still "in order," while for the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}, the process might be "out of order."

To determine whether the process is still "in order" or "out of order," we can compare the current sample of output to the known mean and standard deviation of the process.

For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}:

Calculate the sample mean by summing up all the values in the sample and dividing by the number of values (n = 10):

Sample mean = (2.038 + 2.054 + 2.053 + 2.055 + 2.059 + 2.059 + 2.009 + 2.042 + 2.053 + 2.047) / 10 = 2.048.

Compare the sample mean to the known process mean (2.050):

The sample mean (2.048) is very close to the process mean (2.050), indicating that the process is still "in order."

Calculate the sample standard deviation using the formula:

Sample standard deviation = sqrt(sum((x - mean)^2) / (n - 1))

Using the formula with the sample values, we find the sample standard deviation to be approximately 0.019 liters.

Compare the sample standard deviation to the known process standard deviation (0.020):

The sample standard deviation (0.019) is very close to the process standard deviation (0.020), further supporting that the process is still "in order."

For the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}:

Calculate the sample mean:

Sample mean = (2.022 + 1.997 + 2.044 + 2.044 + 2.032 + 2.045 + 2.045 + 2.047 + 2.030 + 2.044) / 10 ≈ 2.034

Compare the sample mean to the process mean (2.050):

The sample mean (2.034) is noticeably different from the process mean (2.050), indicating that the process might be "out of order."

Calculate the sample standard deviation:

The sample standard deviation is approximately 0.019 liters.

Compare the sample standard deviation to the process standard deviation (0.020):

The sample standard deviation (0.019) is similar to the process standard deviation (0.020), suggesting that the process is still "in order" in terms of variation.

In summary, for the first sample, the process is still "in order" as both the sample mean and sample standard deviation are close to the known process values.

However, for the second sample, the difference in the sample mean suggests that the process might be "out of order," even though the sample standard deviation remains within an acceptable range.

For similar question on standard deviation.

https://brainly.com/question/12402189  

#SPJ8

Answer:

\(\displaystyle{y-1=5(x+6)}\)

Step-by-step explanation:

A point-slope form is written in the equation of  \(\displaystyle{y-y_1=m(x-x_1)}\). Where \(\displaystyle{(x_1,y_1)}\) is a coordinate point and \(\displaystyle{m}\) is slope.

The definition of parallel is to both lines have same slope. The given line equation has slope of 5. Therefore, we can write the equation in point-slope form as:

\(\displaystyle{y-y_1=5(x-x_1)}\)

Next, we are also given the point p(-6,1). Substitute \(\displaystyle{x_1}\) = -6 and \(\displaystyle{y_1}\) = 1 in:

\(\displaystyle{y-1=5[x-(-6)]}\\\\\displaystyle{y-1=5(x+6)}\)

Hence, the line equation that’s parallel to y = 5x - 4 and passes through a point (-6,1) is y - 1 = 5(x + 6)

Answer:

y - 1 = 5 ( x + 6 )

Step-by-step explanation:

       Here,

          m ⇒ slope

    y = 5x - 4 ← equation of the old line

         Now it is clear to us that,

         m ⇒ slope of the line ⇒ 5

         c  ⇒ y-intercept ⇒ -4

                 That is, m = 5

                   y - y₁ = m ( x - x₁ ).

        m = slope

           ( -6 , 1 ) ⇔ ( x₁ , y₁ )

        Let us solve this now

         y - y₁ = m ( x - x₁ )

         y - 1 = 5 ( x - ( -6) )

         y - 1 = 5 ( x + 6 )

                y - 1 = 5 ( x + 6 )

The Central Limit Theorem gives the idea that a large number of sample means or proportions will approximate a normal distribution, regardless of the distribution of the population from which they were drawn .

Central Limit Theorem : In probability theory , the Central Limit Theorem establishes that , in many situations , when independent random variables are summed up , their properly normalized sum tends toward a normal distribution even if the original variables themselves are not normally distributed .

The Central Limit Theorem gives the idea that a large number of sample means or proportions will approximate a normal distribution, regardless of the distribution of the population from which they were drawn .

To learn more on central limit theorem follow link:

https://brainly.com/question/14781796

#SPJ4

The first function is ;

Graphing this function, you will get the following graph;

Explanation

The graph shows a parabola, opening upwards.

To be able to understand the transformation that took place { maybe a translation,a rotation, a dilation or a reflection } you need to have the original graph/object to compare you image graph to.

In this case, assuming there is no other initial graph for comparision ,the transformation could be:

Answer

A reflection along the y-axis where the right side of the graph is mirrored to the left-side .

A)  The coordinates (225, 0) and (0, 150) represent the combinations of pork and carbohydrates that Tonyo can purchase with his grocery budget.

B) Quantity of carbohydrates (Qc) = 136.36 units

A) Graph Budget line on year 2021, considering pork and carbohydrates:

To graph the budget line for year 2021, we need to calculate the quantity combinations of pork and carbohydrates that Tonyo can purchase with his allotted budget. Given that Tonyo allocates 15% of his salary to groceries and his salary is 30,000 PHP, his grocery budget for 2021 would be:

Grocery budget for 2021 = 0.15 * 30,000 PHP = 4,500 PHP

Let's assume that Tonyo spends all of his grocery budget on either pork or carbohydrates.

Assuming he spends all on pork:

Quantity of pork (Qp) = Grocery budget for 2021 / Price of pork = 4,500 PHP / 20 PHP = 225 units

Assuming he spends all on carbohydrates:

Quantity of carbohydrates (Qc) = Grocery budget for 2021 / Price of carbohydrates = 4,500 PHP / 30 PHP = 150 units

We can now graph the budget line with pork on the x-axis and carbohydrates on the y-axis. The coordinates (225, 0) and (0, 150) represent the combinations of pork and carbohydrates that Tonyo can purchase with his grocery budget.

B) Graph Budget line on year 2022, considering pork and carbohydrates:

In year 2022, prices of groceries increased by 10%. To calculate the new prices for pork and carbohydrates, we multiply the original prices by 1.10.

New price of pork = 20 PHP * 1.10 = 22 PHP

New price of carbohydrates = 30 PHP * 1.10 = 33 PHP

Using the same budget of 4,500 PHP, we can now calculate the new quantity combinations:

Quantity of pork (Qp) = Grocery budget for 2021 / New price of pork = 4,500 PHP / 22 PHP ≈ 204.55 units

Quantity of carbohydrates (Qc) = Grocery budget for 2021 / New price of carbohydrates = 4,500 PHP / 33 PHP ≈ 136.36 units

We can now graph the budget line for 2022, using the new quantity combinations.

C) Graph the budget line on year 2023, considering fish and carbohydrates:

In year 2023, Tonyo decided to shift from pork to fish. Let's assume that the price of fish remains the same as in 2022, while the price of carbohydrates increases by 10%.

Price of fish = 15 PHP

New price of carbohydrates = 33 PHP * 1.10 = 36.30 PHP

With a 10% increase in salary, Tonyo's new salary in 2023 would be:

New salary = 30,000 PHP * 1.10 = 33,000 PHP

Using the same grocery budget of 15% of his salary:

Grocery budget for 2023 = 0.15 * 33,000 PHP = 4,950 PHP

Let's calculate the new quantity combinations:

Quantity of fish (Qf) = Grocery budget for 2023 / Price of fish = 4,950 PHP / 15 PHP ≈ 330 units

Quantity of carbohydrates (Qc) = Grocery budget for 2023 / New price of carbohydrates = 4,950 PHP / 36.30 PHP ≈ 136.27 units

We can now graph the budget line for 2023, using the new quantity combinations.

Please note that the actual graphing of the budget lines would require plotting the points based on the calculated quantity combinations and connecting them to form the budget line. The computed quantities provided here are approximate and should be adjusted according to the specific graphing scale and precision desired.

To learn more about budget line

https://brainly.com/question/13799961

#SPJ11

Answer:4^-3 could also be written as 1/4^3

Step-by-step explanation:

Negative exponent rule in which the number with a negative exponent gets moved to the denominator.

We know that the cost of the meal is $40 and the tip is the 10%.

And we must find the total cost.

The total cost will be we cost of the meal plus the tip.

Now, we must find the cost of the tip.

Since the tip is the 10% we must multiply the cost of the meal by 10%. (We can represent 10% as 0.1)

Then, the total cost is

Finally, the total cost of the meal is $44.

The inverse function of f(x) = (x − 3)³ + 2 is \(f^{-1}(x)\) = ∛(x - 2) + 3.

Option B is the correct answer.

We have,

The inverse function of f(x) = (x − 3)³ + 2 can be found by swapping the roles of x and y and solving for y.

Let y = (x - 3)³ + 2

Swap x and y:

x = (y - 3)³ + 2

Now solve for y:

x - 2 = (y - 3)³

∛(x - 2) = y - 3

y = ∛(x - 2) + 3

Therefore,

The inverse function of f(x) = (x − 3)³ + 2 is \(f^{-1}(x)\) = ∛(x - 2) + 3.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ4

The complete question:

Select the correct answer.

Which function is the inverse of f(x) = (x − 3)³ + 2?

A. y = ∛(x - 2) + 4

B. y = ∛(x - 2) + 3

C. y = ∛(x - 2) + 6

D. y = ∛(x - 4) + 3

The expression where the greatest common factor (GCF) is factored completely is \(2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)\)

The expression completely factored in is

\(2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)\)

Please refer below for the remaining answers.

We have,

Part A:

To rewrite the expression 2x³y + 18xy - 10x²y - 90y so that the greatest common factor (GCF) is factored completely, we can factor out the common terms.

GCF: 2y

\(2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)\)

Part B:

To completely factor the expression, we can further factor the quadratic term.

\(2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)\)

Now,

Part A:

To determine the length of each side of the square given the area expression (9x² + 24x + 16), we need to factor it completely.

The area expression (9x² + 24x + 16) can be factored as (3x + 4)(3x + 4) or (3x + 4)².

Therefore, the length of each side of the square is 3x + 4.

Part B:

To determine the dimensions of the rectangle given the area expression (16x² - 25y²), we need to factor it completely.

The area expression (16x² - 25y²) is a difference of squares and can be factored as (4x - 5y)(4x + 5y).

Therefore, the dimensions of the rectangle are (4x - 5y) and (4x + 5y).

Now,

f(x) = 2x² - 5x + 3

Part A:

To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x.

2x² - 5x + 3 = 0

The quadratic equation can be factored as (2x - 1)(x - 3) = 0.

Setting each factor equal to zero:

2x - 1 = 0 --> x = 1/2

x - 3 = 0 --> x = 3

Therefore, the x-intercepts of the graph of f(x) are x = 1/2 and x = 3.

Part B:

To determine if the vertex of the graph of f(x) is maximum or minimum, we can examine the coefficient of the x^2 term.

The coefficient of the x² term in f(x) is positive (2x²), indicating that the parabola opens upward and the vertex is a minimum.

To find the coordinates of the vertex, we can use the formula x = -b / (2a), where a and b are the coefficients of the quadratic equation.

For f(x),

a = 2 and b = -5.

x = -(-5) / (2 x 2) = 5/4

To find the corresponding y-coordinate, we substitute this x-value back into the equation f(x):

f(5/4) = 25/8 - 25/4 + 3 = 25/8 - 50/8 + 24/8 = -1/8

Therefore, the vertex of the graph of f(x) is at the coordinates (5/4, -1/8), and it is a minimum point.

Part C:

To graph f(x), we can start by plotting the x-intercepts, which we found to be x = 1/2 and x = 3.

These points represent where the graph intersects the x-axis.

Next,

We can plot the vertex at (5/4, -1/8), which represents the minimum point of the graph.

Since the coefficient of the x² term is positive, the parabola opens upward.

We can use the vertex and the symmetry of the parabola to draw the rest of the graph.

The parabola will be symmetric with respect to the line x = 5/4.

We can also plot additional points by substituting other x-values into the equation f(x) = 2x² - 5x + 3.

By connecting the plotted points, we can draw the graph of f(x).

The steps to graph f(x) involve plotting the x-intercepts, the vertex, and additional points, and then connecting them to form the parabolic curve.

The answer in part A (x-intercepts) and part B (vertex) are crucial in determining these key points on the graph.

Thus,

The expression where the greatest common factor (GCF) is factored completely is \(2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)\)

The expression completely factored in is

\(2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)\)

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

Answer:

small number = 28/5 or 5 3/5

larger number = 13/5 or 2 3/5

Step-by-step explanation:

x = small number

y = large number

set up a system of equations:

x - y = 3

3y + 2x = 19

using substitution method:

let x = 3 + y

3y + 2(3 + y) = 19

3y + 6 + 2y = 19

5y + 6 = 19

5y = 13

y = 13/5

solve for x:

x - 13/5 = 3

x = 15/5 + 13/5

x = 28/5

Answer:

ANSWER

Step-by-step explanation:

The derivative of f(x) = arccos(x^2) is: f'(x) = -2x / √(1-x^4)

The derivative of f(x) = arccos(x^2), we'll use the chain rule. The chain rule states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function. In this case, the outer function is arccos(u) and the inner function is u = x^2.

First, let's find the derivative of the outer function, arccos(u). The derivative of arccos(u) is -1/√(1-u^2). Next, we'll find the derivative of the inner function, x^2. The derivative of x^2 is 2x.

Now we'll apply the chain rule. We have:

f'(x) = (derivative of outer function) * (derivative of inner function)

f'(x) = (-1/√(1-u^2)) * (2x)

Since u = x^2, we'll substitute that back into our equation:

f'(x) = (-1/√(1-x^4)) * (2x)

So, the derivative of f(x) = arccos(x^2) is:

f'(x) = -2x / √(1-x^4)

To learn more about Derivative :

https://brainly.com/question/23819325

#SPJ11

(a)The optimal order quantity is  4609 units.

(b)The time between orders is  1.98 months.

To determine the optimal order quantity and the approximate time between orders, the Economic Order Quantity (EOQ) model. The EOQ model minimizes the total cost of inventory by balancing ordering costs and carrying costs.

Optimal Order Quantity:

The formula for the EOQ is given by:

EOQ = √[(2DS) / H]

Where:

D = Annual demand

S = Cost per order

H = Holding cost per unit per year

calculate the annual demand (D) using the 2020

sales numbers provided:

D = 651 + 808 + 514 + 174 + 435 + 426 + 687 + 582 + 662 + 1551 + 1295 + 1774

= 9559 units

To calculate the cost per order (S) and the holding cost per unit per year (H).

The cost per order (S) is given as $500.

The holding cost per unit per year (H)  calculated as follows:

H = Carrying cost percentage × Unit value

= 0.30 × $3

= $0.90

substitute these values into the EOQ formula:

EOQ = √[(2 × 9559 × $500) / $0.90]

= √[19118000 / $0.90]

≈ √21242222.22

≈ 4608.71

Approximate Time Between Orders:

To calculate the approximate time between orders, we'll divide the total number of working days in a year by the number of orders per year.

Assuming 360 days in a year and a lead time of 1 week (7 days) for shipping, we have:

Working days in a year = 360 - 7 = 353 days

Approximate time between orders = Working days in a year / Number of orders per year

= 353 / (9559 / 4609)

= 0.165 years

Converting this time to months:

Approximate time between orders (months) = 0.165 × 12

= 1.98 months

To know more about quantity here

https://brainly.com/question/14581760

#SPJ4

Answer:

You can get 10 chesse pizzas and then you can get 1 meat pizza.

Step-by-step explanation:

Sorry if that wasn't what you were looking for. Hope this helped!

Answer:

6 meat pizzas and 4 cheese pizzas = $56

Step-by-step explanation:

a) The pumpkin thrown downward from a five-story building (15 meters high) results in the messiest impact (highest velocity impact).

b) The second pumpkin will hit the ground at the same velocity as the first pumpkin, regardless of the direction of throw.

c) Throwing the pumpkin downwards results in a higher velocity impact because the gravitational force of the Earth adds to the initial velocity.

The velocity of the pumpkin is directly proportional to the height of the building from where it is thrown. Thus, the pumpkin thrown from a five-story building has a higher velocity than that thrown from a shorter building. To get the messiest impact, the pumpkin must be thrown downward, and not upward. This is because the gravitational force of the Earth adds to the initial velocity, making the pumpkin hit the ground with a higher velocity. The velocity at which the second pumpkin hits the ground will be the same, regardless of the direction of throw. This is because the initial velocity of the pumpkin is the same in both cases, and the force of gravity acting on it is also the same.

Know more about gravitational force  here:

https://brainly.com/question/29190673

#SPJ11

6.29117647059

This is the answer

Answer: 6.29117647059

Step-by-step explanation:

divide the problem :)

Answer:

The population of India would reach 3 billion in about 112 years (year 2128)

Step-by-step explanation:

1. subtract 1.327 billion by 1.053 billion  (1.327-1.053)

2. The answer you should get is 274,000,000 (two hundred seventy four million)

3. multiply 274,000,000 by 7 (amount of people required to reach about 3 billion)

4. add the product (ans to multiplication problem) to 1.327 billion. (you should get 3.245 billion (3245000000).

5. multiply 16 by 7 (16x7) to get the number of years to reach 3 billion (maybe 112)

6. Add the product to 2016

7. Therefore you get the year 2128.

Answer:

4x^6

Step-by-step explanation:

Area of the square pasture = L² where:

L is the

length of one side of the pasture

Given

L = 2x³

Area of the pasture = (2x³)²

Area of the pasture =2x³•2x³

Area of the pasture = 4x^{3+3}

Area of the pasture = 4x^6

Hence the area of the pasture is 4x^6

The correct answer is C. Set Only set 1 with n = 2, l = 0, and m_l = 0 correctly specifies an orbital.

In quantum mechanics, orbitals are described by a set of quantum numbers that specify their energy level, shape, and orientation. The four quantum numbers are n, l, m_l, and m_s.

In set 1, we have n = 2, l = 0, and m_l = 0. These values are consistent with the rules for assigning quantum numbers to orbitals. The principal quantum number (n) represents the energy level, and having n = 2 means the orbital is in the second energy level.

The angular momentum quantum number (l) represents the shape of the orbital, and having l = 0 indicates an s orbital.

The magnetic quantum number (m_l) represents the orientation of the orbital within a subshell, and having m_l = 0 means the orbital is oriented along one axis (no angular dependence).

On the other hand, sets 2, 3, and 4 have incorrect combinations of quantum numbers. In set 2, having l = 5 is not possible since l can only have integer values from 0 to n-1. In set 3, having l = -2 is not allowed since l must be a non-negative integer.

In set 4, having l = 2 and m_l = 1 is not consistent since m_l can have values from -l to +l, and in this case, it should range from -2 to +2.

To know more about value click here

brainly.com/question/30760879

#SPJ11

The P-value of drawing a random sample of 50 and getting a mean of 100 or less is approximately 0.1726 (17.26%).

The Z-score formula is given by,

Z = (X - μ)/(σ/√(n))

X = Sample mean (100)

μ = Population mean (102)

σ = Standard deviation (15)

n = Sample size (50)

Let's calculate the Z-score,

Z = (100 - 102)/(15/√(50))

Z = -2 / (15 / 7.071)

Z = -0.9428

To find the P-value, we need to determine the probability of obtaining a Z-score less than or equal to -0.9428 from the standard normal distribution. We can use a Z-table or a statistical calculator to find this probability.

Looking up the Z-score -0.9428 in a standard normal distribution table, we find that the corresponding cumulative probability is approximately 0.1726. Therefore, the P-value of drawing a random sample of 50 and getting a mean of 100 or less is approximately 0.1726, or 17.26%.

To know more about Z score, visit,

https://brainly.com/question/25638875

#SPJ4

Answer:

C

Step-by-step explanation:

50

Answer:

B

Step-by-step explanation:

Answer:

B) There were N people on the beach at 10:00a.m.

Step-by-step explanation:

As stated, "t" represents the hours past midnight. So the first part states that it is 10 hours after midnight. Since we know its ten hours after midnight, aka 10am, what we don't know is how many people are on the beach. therefore we know the answer is B.

Answer:

Surface area: 310.86 sq ft

Step-by-step explanation:

First, find the surface area of the cylinder. This can be found by finding the area of the circle at its base, and then the area of its mid-region.

The area of the circle can be found using the formula: a = pi(r^2). r stands for radius, which is 3 in this problem. 3^2 equals 9, which, multiplied by pi (3.14), equals 28.26.

The area of the cylinder's mid-region is equal to the circumference of the circle multiplied by the height of the cylinder. The circumference of the circle is equal to c = 2pi(r), or in this case: 18.84. Now, multiply this value by the height to get 226.08 as the area of the mid-region.

Lastly, find the surface area of the sphere. This can be found using the equation a =4πr^2. r is, again, radius, which in this problem can be represented by 3. The surface area of a sphere with a radius of 3 is 113.04. However, this figure only shows half a sphere, which can be found by dividing 113.04 in half. This gets you 56.52.

Now, simply add all the areas together to get the total surface area!

a) The matrix is invertible for all values of k except 7.5.

b) The only values of k that make all entries of [2 3 5 k]^-1 integers are 7 and 8.

To find the inverse of a linear transformation, we need to represent it in matrix form. The given linear transformation can be represented as a matrix:

[1 7]
[3 20]

To find the inverse of a matrix, we need to use the formula:

A^-1 = (1/det(A)) * adj(A)

Where det(A) is the determinant of the matrix A and adj(A) is the adjugate (transpose of the cofactor matrix) of A.

Using this formula, we can find the inverse of the given matrix as follows:

det([1 7][3 20]) = (1*20) - (7*3) = 1

adj([1 7][3 20]) = [20 -7][-3 1]

Therefore, the inverse of the matrix is:

[20 -7]
[-3 1]

To check that this is the correct inverse, we can verify that the product of the two matrices is the identity matrix:

[1 7][20 -7] = [1 0]
[3 20][-3 1]   [0 1]

For exercise 9, we need to determine if the matrix [1 k 0 1] is invertible. To do this, we can find the determinant of the matrix:

det([1 k][0 1]) = (1*1) - (k*0) = 1

Since the determinant is not equal to zero, the matrix is invertible.

For exercise 12a, we need to find the values of k that make the matrix [2 3 5 k] invertible. To do this, we can again find the determinant of the matrix:

det([2 3][5 k]) = (2*k) - (3*5) = 2k - 15

For the matrix to be invertible, the determinant must be non-zero. Therefore, we need:

2k - 15 ≠ 0
2k ≠ 15
k ≠ 7.5

Therefore, the matrix is invertible for all values of k except 7.5.

For exercise 12b, we need to find the values of k that make all entries of [2 3 5 k]^-1 integers. To do this, we can find the inverse of the matrix:

[2 3][5 k]^-1 = (1/((2*k) - (3*5)))[k -3][-5 2]

We need all entries of this matrix to be integers. Therefore, we need:

1/((2*k) - (3*5)) to be an integer (i.e. the denominator is a factor of 1)
(k - 3)/((2*k) - (3*5)) and -5/((2*k) - (3*5)) to be integers

Simplifying the denominator, we get:

(2*k) - (3*5) = 2k - 15

Therefore, the denominator must be a factor of 1, which means it can only be 1 or -1.

If the denominator is 1, then:

2k - 15 = 1
2k = 16
k = 8

If the denominator is -1, then:

2k - 15 = -1
2k = 14
k = 7

Therefore, the only values of k that make all entries of [2 3 5 k]^-1 integers are 7 and 8.

To learn more about Matrix visit: brainly.com/question/12138961

#SPJ11

Answer:

Because they are both using (g units rates).

Step-by-step explanation:

Answer:

60 degrees

Step-by-step explanation:

I got the answer right