You want to place stone pavers around the edge of your concrete patio. The patio is 12 ft wide by 14 ft long and each stone paver is 14 inches long . How many stone pavers will you need to go around the patio (not counting the side against the house which is 14 ft long)? (round to the nearest whole number )

Answer:

Step-by-step explanation:

1.4 m = 1.4 * 100 = 140.0  = 140 cm

Answer:

Five

Step-by-step explanation:

Pivot columns are said to be columns where pivot exist and a pivot exist in the first nonzero entry of each row in a matrix that is in a shape resulting from a Gaussian elimination.

Suppose A = 5 × 7 matrix

So; if A columns span set of real numbers R⁵

The number of pivot columns that A must have must be present in each row. In a  5 × 7 matrix ; we have 5 rows and 7 columns . So , since A must be present in each row, then :

The matrix must have five pivot columns and we can infer that about  the statements that "A has a pivot position in every row"  and "the columns of A spans R⁵" are logically equivalent.

Answer:

14/2

Step-by-step explanation:

We can write 7 as 7/1

Multiply the top and bottom by 2/2

7/1 * 2/2 = 14/2

We could multiply by any number over itself

7/1 * 3/3 = 21/3

This is an equivalent fraction

Answer:

See below

Step-by-step explanation:

Examples ( choose one)

14/2

7/1

21/3

98/14

According the given question 3A - 2B matrix is equal to:

\(\left[\begin{array}{ccc}10 & -5 & 3 &5 & -5 & 1\end{array}\right]\)

A matrix is a rectangular array οf numerical values, symbοls, οr verbal expressiοns that are οrganised in rοws and cοlumns. In many disciplines, such as cοmputer science, engineering, physics, and mathematics, it is used tο represent data.

Calculating 3A and 2B first, then deducting 2B frοm 3A, is required tο find 3A - 2B.

Calculating 3A:

\(3A = 3 * \left[\begin{array}{ccc}2 & -1 & 3\1 & 1 & -3 & -1\end{array}\right]= \left[\begin{array}{ccc}6 & -3 & 9\3 & 3 & -9 & -3\end{array}\right]\)

Calculating 2B:

\(2B = 2 * \left[\begin{array}{ccc}-2 & 1 & 3 & -1 & -2 & -2 \end{array}\right]= \left[\begin{array}{ccc}-4 & 2 & 6 & -2 & -4 & -4\end{array}\right]\)

Nοw, we can find 3A - 2B by subtracting 2B frοm 3A:

\(3A - 2B = \left[\begin{array}{ccc}6 & -3 & 9 &3& -9 & -3\end{array}\right] - \left[\begin{array}{ccc}-4 & 2 & 6 &-2 & -4 & -4\end{array}\right]= \left[\begin{array}{ccc}10 & -5 & 3 &5 & -5 & 1\end{array}\right]\)

Therefore, 3A - 2B is equal to:

\(\left[\begin{array}{ccc}10 & -5 & 3 &5 & -5 & 1\end{array}\right]\)

To learn more about Matrix

https://brainly.com/question/29132693

#SPJ1

Answer:

6p/7

Step-by-step explanation:

Answer:

B. 6p/7

Step-by-step explanation:

The coordinates of the final point after the reflections across the x-axis twice is (6, -4)

Reflecting a point across the x-axis means that we keep the x-coordinate the same, but change the sign of the y-coordinate.

So reflecting (6,-4) across the x-axis gives us the point (6,4).

Reflecting this result again across the x-axis means that we keep the x-coordinate the same, but change the sign of the y-coordinate again.

So reflecting (6,4) across the x-axis gives us the point (6,-4).

Therefore, the final point after both reflections is (6, -4).

Read more about transformation at

https://brainly.com/question/27224272

#SPJ1

Answer:

∠ 5 = 122° , ∠ 6 = 58°

Step-by-step explanation:

∠ 5 and 122° are vertically opposite and are congruent , then

∠ 5 = 122°

∠ 5 and ∠ 6 are same- side interior angles and sum to 180°

∠ 5 + ∠ 6 = 180° , that is

122° + ∠ 6 = 180° ( subtract 122° from both sides )

∠ 6 = 58°

See explanation below

Explanation:

1) let the number of cups of blue paint = x

the number of cups of yellow paint = y

Fromt the table, we have been frovided with data for both in the top part

when x = 2

y = 10

for the table to be proportional, we use the formula:

y = kx

where k = constant of proportionality

(2, 10) = (x, y)

10 = k(2)

k = 10/2

k = 5

For 2 cups of blue paint,

number of yellow paint to make green paint = 2 × 5 = 10

This means for 2 paint of blue, we need 10 paints of yellow

2) For one paint of blue, number of paint of green:

y = 5x

x = 1

y = 1 × 5 = 5

5 paints of yellow is needed

For a new pair, we can assign any number for x inorder to get value for y

if we use x = 5

y = 5x

y = 5 × 5 = 25

This means for 5 cups of blue paints, 25 cups of yellow paint is needed

The new pair (x, y) = (5, 25)

3) The proportional relationship represented by the table: y = 5x

4) since k is the constant of proportionality, the value of k we derived is 5

Hence, k = 5

k represents the constant value in the direct proportional relationship of x and y. It shows y is dependent on x. if x increses, y increases.

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

  Option B is correct

b

   \(P(\= A ) = 0.997\)

Step-by-step explanation:

From the question \(\= A\) denote the compliment of A and what this mean is that  \(\= A\) consist of all the outcomes in which event A does not occur

  Given that  P(A)  = 0.003

Then the value of

                   \(P(\= A ) = 1- 0.003\)

                    \(P(\= A ) = 0.997\)

Answer:

l=r2+h2=122+202≈23.32381

Step-by-step explanation:

Answer:

124 boys and 161 girls

Step-by-step explanation:

There are 285 students total. Divide 285 by 2, you get 142.5. Since you can't have half a student, lets round it up to 143. Now, there are 19 more girls than guys, so you would subtract 19 from 143. When you do that, (143-19) you get 124. Then you take 285 and subtract 124. You get 161.

Hope this is correct!

Answer:

The correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.

Step-by-step explanation:

What is probability?

Probability is the branch of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely it is that a claim is true.

To find which 2 books describe a pair of dependent events:

A pair of two dependent events are simply those in which the selection of the second item is contingent on the selection of the first item, causing the probability to change.

Because the sample size is lowered when the initial item is taken without replacement, choosing the exact same item reduces the chance.

Now, in regard to the question, this means that for two of the occurrences to be independent, they must be on the same shelf and of the same type of book, so that the second book cannot be selected until the first one is.

Option D, where both books are on the same shelf and are of the same type, is the only option that fulfills this requirement.

Therefore, the correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.

Know more about probability here:

brainly.com/question/25870256

#SPJ4

Answer:

t=-4

Step-by-step explanation:

t+6=7/3.5

t+6=70/35 (I expanded 7/3.5 by multiplying both numerator and the denominator by 10)

t+6=2 (I divided 70 by 35 to get 2)

t=2-6

t=-4

Answer:

t=-4

Step-by-step explanation:

i took the test on k12

Decentralization is a management approach that involves the delegation and assignment of decision-making rights from top levels of management to lower levels of management. Option A

It is an effective way to empower employees and to improve decision-making processes within an organization. The benefits of decentralization include the following:

It empowers more employees at lower levels of management: Decentralization allows employees to take ownership of their work, to be more accountable, and to make decisions that are in the best interest of the organization. This, in turn, leads to improved job satisfaction, employee engagement, and better overall performance.

It allows for better and more timely decision-making: Decentralization ensures that decisions are made closer to where the work is being done. This leads to faster decision-making, improved responsiveness to changes in the market, and better coordination between different departments and teams.

It trains future managers: Decentralization provides employees with the opportunity to gain valuable management experience, which can help prepare them for future leadership roles within the organization.

However, one benefit of decentralization that is not accurate is that it forces top levels of management to focus on individual units. In fact, decentralization can free up top management to focus on the big picture and long-term strategy, rather than getting bogged down in day-to-day operations.

In conclusion, decentralization is a useful management approach that can help organizations improve decision-making, empower employees, and train future managers.

By delegating decision-making rights to lower levels of management, organizations can improve overall performance and become more adaptable to changes in the market.

So Option A is correct.

For more question on Decentralization visit:

brainly.com/question/6103174

#SPJ1

complete question:

The benefits of decentralization i.e. delegation and assignment of decision rights include all of the following except:

a it forces top levels of management to focus on individual units

b it empowers more employees at lower levels of management

c it allows for better and more timely decision making

d it trains future managers

The time taken by Roxy to travel 200 miles at the speed of 50 mph is given by the equation 50x = 100.

Given: Roxy drove 200 miles at a speed of 50 miles per hour.

Let, x = time taken by Roxy to travel 200 miles

We know that,

d = st

s = d/t

50 = 200/x

50x = 200

Therefore, the time taken by Roxy to travel 200 miles at the speed of 50 mph is given by the equation 50x = 100.

Learn more about speed based problems here:

https://brainly.com/question/4931057

#SPJ1

9514 1404 393

Answer:

  6π ≈ 18.8 miles

Step-by-step explanation:

The full circumference of a 12-mile circle is ...

  C = πd

  C = π(12 mi)

So, half the circumference of the circle is ...

  arc length = 1/2C = (12π mi)/2 = 6π mi ≈ 18.8 mi

Answer:

  1

Step-by-step explanation:

You want the value of the sum a+b if the line ax+by=6 graphs the same as the line -2x +4y = 12.

The equations describe the same line, so have infinite solutions, if the coefficients and constants are the same.

Here, we notice that the constant in the second equation (12) is double that in the first equation (6). We can make them the same by dividing the second equation by 2:

  (-2x +4y)/2 = 12/2

  -x +2y = 6

Since we want this to be the same line as ...

  ax +by = 6

we must choose ...

Then the sum of the coefficients is ...

  a + b = (-1) + (2) = 1

The value of a+b is 1.

Answer:

37.7 feet

Step-by-step explanation:

The circumference of a circle can be calculated using the formula: Circumference = 2 * π * radius, where π (pi) is approximately 3.14159.

For example, if we have a circle with a radius of 3 feet, its circumference would be approximately 18.85 feet (rounded to five decimal places).

When we double the radius to 6 feet, the circumference also doubles. In this case, the circumference would be approximately 37.70 feet (rounded to five decimal places).

In summary, when the radius of a circle doubles, the circumference also doubles, maintaining a direct proportional relationship between the two measurements.

Answer:

\( \frac{m}{h} = \frac{165}{7} \)

Answer:

A would be correct

Step-by-step explanation:

the answer is A.

Note that it is true to state that the expression (sec(x)+1)/tan(x) = (sin(x))/(1-cos(x)) is true for any known value of x except where cos(x) = 1 and x is an odd multiple of pi/2.

We can start by manipulating the left-hand side of the equation using the trigonometric identities for secant, tangent, and Pythagorean identity for sine and cosine:

(sec(x) + 1) / tan(x)

= (1/cos(x) + 1) / (sin(x)/cos(x))

= ((1 + cos(x))/cos(x)) / (sin(x)/cos(x))

= (1 + cos(x)) / sin(x)

= [(1 + cos(x)) / sin(x)] * [(1 - cos(x)) / (1 - cos(x))]

= [(1 + cos(x)) * (1 - cos(x))] / [sin(x) * (1 - cos(x))]

= sin(x) / (1 - cos(x))

Therefore, we have shown that:

(sec(x) + 1) / tan(x) = sin(x) / (1 - cos(x))

Hence, the equation is true for any value of x, except where cos(x) = 1 and x is an odd multiple of pi/2.

Learn more about math expressions at:

https://brainly.com/question/29769496

#SPJ1

Full Question:

Note that the question seems incomplete. Thus, the rationale requirement here is to determine that the left side and the right side of the expression below are trully equal.

(sec(x)+1)/tan(x) = (sin(x))/(1-cos(x))

the Answer is C. 367 meters

Answer: 367 meters

Step-by-step explanation:

Answer:

a) -73°C, -15°C, -12°C, 0°C, 16°C, 37°C, 96°C

a) 96°C, 37°C, 16°C, 0°C, -12°C, -15°C, -73°C

b) -36°C, -15°C, -7°C, -1°C, 0°C, 20°C, 23°C

b) 23°C, 20°C, 0°C, -1°C, -7°C, -15°C, -36°C

The derivative of the function cos(xº) in radians is y' = -sin(xπ/180)

From the question, we have the following function definition that can be used in our computation:

cos(xº)

Changing the degree into radian, we have

cos(xπ/180)

Express as a function

So, we have

y = cos(xπ/180)

When the cosine function is differentiated, we have

y' = -sin(xπ/180)

Hence, the differentiated function is y' = -sin(xπ/180)

Read more about derivative at

https://brainly.com/question/5313449

#SPJ1

Answer:

1

Step-by-step explanation:

1 ×5-6=-1 Define this stuff is really easy are you going to do is look at all the options that they have there for our and fill in for our or whichever one works will equal to -1 so in this case the one that works is -1 Sol is think about it all you got to do is just fill it in like they give an example ours and they gave us a question or sequel to one just put one size 5 - 6 is equal to -1 -1 is what you trying to get

Answer: the statement made by Tim Cook is TRUE

Step-by-step explanation:

Given that;

in 2007 cost of 1st gen iphone = $499 (base year price)

cost of iphone today = $999 (current year price)

Using the Consumer Price Index

the Consumer Price Index = (cost pf product in current years/cost of product base year) × 100

we substitute

CPI  = (999/499) × 100

CPI  = 200.2004

so the CPI is 100.2004% higher in the current year than in the base year

Checking the inflation rate

IR = (( CPI this year- CPI last year)/CPI last year) × 100

CPI last year (base year) = 100

CPI current year is = 100.2004

so

IR = (( 100.2004 - 100)/100) × 100

IR = 0.002004 × 100

IR = 0.2004%

THEREFORE the statement made by Tim Cook is TRUE

Total costs are given by

So:

Answer: total costs are $81,230