Write each
management function next to the sentence which describes it:
Planning
Organizing
Leading
Controlling

answer:

reddit has a lot of stories on various topics i recommend checking out
the app or website. i have an american pitbull terrier, so i have stories about them not greyhounds. although, you can also search ‘raising a Italian-greyhound blog post’ so that you can have access to multiple stories from different perspectives that way.

best of luck!

The amount of wire does she have remaining after the first day is,

⇒ 27.558 meters

We have to given that;

An electrician has 42.3 meters of wire to use on a job on the first day she uses 14.742 meters of the wire.

Now, We can formulate;

The amount of wire does she have remaining after the first day is,

⇒ 42.3 - 14.742

⇒ 27.558 meters

Thus, The amount of wire does she have remaining after the first day is,

⇒ 27.558 meters

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Answer:

a

Step-by-step explanation:

Let's look at Enrique:

He starts with $50 and every time he buys lunch his account goes down by 5.  The y would represent how much money he has left in his account.

So, say he buys 3 lunches how much is in his account if he started with 50?

50 - 5-5-5 = 35

Use the equation

50 - 5(3) = y

50 - 15 = y

35 = y

Answer:

Using Pythagorean theorem a2 + b2 = c2 15002 + 20002 = C2; c is 2,500 feet

\(\frac{x^2}{3}-\frac{1}{2}=\frac{x}{3}\)

Because there are 3 and 2 as the denominators. Find the lowest number that both 3 and 2 can divide without any quotients, which is 6.

Multiply all whole equation by 6.

\(\frac{x^2}{3}(6)-\frac{1}{2}(6)=\frac{x}{3}(6)\\2x^2-3=2x\)

We should get like this. Then move 2x to subtract.

\(2x^2-2x-3=0\)

Because the polynomial is a two-degree and a quadratic equation. We solve the value of x by either factoring, using the formula or completing the square.

But I'll use the Quadratic Formula instead as the factoring doesn't seem to work for the Quadratic Equation with square root answers.

\(x=\frac{-b±\sqrt{b^2-4ac} }{2a}\)

This is the formula of Quadratic Equation. Ignore the weird letter as it just randomly appears and can't be deleted.

\(x=\frac{-(-2)±\sqrt{(-2)^2-4(2)(-3)} }{2(2)} \\x=\frac{2±\sqrt{4+24} }{4} \\x=\frac{2±\sqrt{28} }{4}\\x=\frac{2±2\sqrt{7} }{4} \\x=\frac{1±\sqrt{7} }{2}\)

Therefore, the answer is x = (1±√7)/2

The difference in the rate of change between Function A and function B is -2.

The difference in the rate of change between function A and function B, we first need to identify the rate of change for each function. The rate of change, also known as the slope, represents how much the dependent variable (y) changes for every unit increase in the independent variable (x).

Let's assume function A is represented by the equation y = 2x + 3, and function B is represented by the equation y = 4x - 1.

For function A: y = 2x + 3, the coefficient of x is 2, indicating that for every unit increase in x, y increases by 2. Therefore, the rate of change for function A is 2.

For function B: y = 4x - 1, the coefficient of x is 4, indicating that for every unit increase in x, y increases by 4. Therefore, the rate of change for function B is 4.

Now, to find the difference in the rate of change between function A and function B, we subtract the rate of change of function B from the rate of change of function A:

Difference in rate of change = Rate of change of function A - Rate of change of function B

                          = 2 - 4

                          = -2

The difference in the rate of change between function A and function B is -2. This means that for every unit increase in x, function B increases at a rate that is 2 units greater than function A. It indicates that function B has a steeper slope and a faster rate of change compared to function A.

In summary, the difference in the rate of change between function A and function B is -2.

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Answer:

1/14

Step-by-step explanation:

Let A represent the event First person getting red velvet cake
Let B represent the event Second person getting red velvet cake

P(A) = Total number of Red Velvet Cakes ÷ Total Number of Cakes =

6/21 = 2/7

If the first person gets a red velvet cake, then there are 5 red velvet cakes and 20 total cakes

Therefore P(B|A) = Number of red velvet cakes left ÷ total number of cakes left = 5/20 = 1/4

P(A and B) == probability of both getting red velvet cake P(A∩B) = P(A).P(B|A) = 2/7 × 1/4 = 2/28 = 1/14

Answer:

-1212 feet/min * 412 min = -499314 feet

Step-by-step explanation:

if you have a speed, or in this case velocity since the measurement has a definite direction,  and time you can multiply them together to get the distance.  Some easy examples, 10 feet per second for 1 second is 10 feet, hopefully that logically makes sense as well.  i you are going 10 feet in 1 second, then after 1 second you went 10 feet.  after 2 seconds it's 20 seconds and so on

Here we have -1212 feet per minute for 412 minutes.  just to establish things, 1 minute would be -1212 feet, here the negative means below the surface, sometimes measurements will have that.  Anyway, 2 minutes would get -2424, and so on.  So it should make sense to multiply them.

-1212 * 412 = -499314

With units, you also have to pay attention to what might cancel out.  You treat different units like variables.  so -1212feet per minute looks like -1212 feet/min where feet and min are basically variables.  Similarly 412 minutes is 412 min.  So if you picture multiplying these, you get -1212 feet/min * 412 min.  In this scenario the mins cancel each other out, since everything s being multiplied.  so like if you had x/y * y you would just get x, or 2/3 * 3 gets just 2.  So this is another way to know what to multiply by.

feet/min has min in the denominator and we want feet, so we need to multiply by something that just has min as its units.  Anyway, that let's you know it's -499314 feet

The drivers change in elevation is 499,344 feet in 412 minutes

Given:

Distance travelled per minute = −1212 feet

Time travelled = 412 minutes

Change in elevation = Distance travelled per minute × Time travelled

= −1212 feet per minute × 412 minutes

= 499,344 feet

Therefore, the drivers change in elevation is 499,344 feet in 412 minutes

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Answer:A

Step-by-step explanation:I took the test it was right.

Because the lines are parallel, we conclude that the system has no solutions.

The solutions for a system of equations are given by the intercepts between the graphs of the equations.

In the given graph, we can see that we have two parallel lines.

Remember that parallel lines never do intersect, then the graphs of the equations in our system never do intercept.

Because there is no intercept, there is no solution for the system.

Which means that the correct option is A, the system has no solution.

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Therefore the expression simplified using only positive exponents is 10h^4v^22.

An exponent's sign indicates how many times to multiply or divide a base number. A negative exponent indicates the opposite. We can rewrite negative exponents like x⁻ⁿ as 1 / xⁿ. For example, 2⁻⁴ = 1 / (2⁴) = 1/16.

A mathematical procedure called multiplication shows how many times a number has been added to itself. The multiplication symbol (x) or (*) are used to denote it. A mathematical process that shows how many equal amounts add up to a given number is called division.

To simplify the expression using only positive exponents, we need to make sure that all the exponents are positive.

We can simplify the expression:

(2h^7v^-3)/(5h^-4v^5)^-5

= (2h^7v^-3)/(1/(5h^-4v^5)^5)

= (2h^7v^-3) * (5h^4v^25)

= 10h^4v^22

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Answer:

it could be angle DGF or CGA (they are both supplementary to angle CGD)

Step-by-step explanation:

To find the common ratio and the first four terms of the geometric sequence {(9^n+2)/(3)}, let's first rewrite the given expression to make it easier to understand i.e. Term a_n = (9^n+2)/3

Now, let's find the first four terms:
a_1 = (9^(1)+2)/3 = (9+2)/3 = 11/3
a_2 = (9^(2)+2)/3 = (81+2)/3 = 83/3
a_3 = (9^(3)+2)/3 = (729+2)/3 = 731/3
a_4 = (9^(4)+2)/3 = (6561+2)/3 = 6563/3

The first four terms are:
a_1 = 11/3
a_2 = 83/3
a_3 = 731/3
a_4 = 6563/3

To find the common ratio, divide the second term by the first term (or any consecutive terms):
Common ratio = a_2 / a_1 = (83/3) / (11/3) = 83/11 = 3

So, the common ratio is indeed 3, and the first four terms are 11/3, 83/3, 731/3, and 6563/3.

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You can use the fact that a residual value is obtained by subtracting the prediction by the line of best fit from the actual data value we have.

The residual value 1.3 when referring to the line of best fit of a data set means:

Option B: A data point is 1.3 units below the line of best fit

First of all, this whole story starts with data. We get data and we try to fit a line which can best imitate the way data is lying on the coordinate plane.

Remember that on a 2d coordinate cartesian plane, we have (x,y) called as point on plane and x is abscissa and y is called ordinate.

Let the best fit line be denoted by y = mx + c (assuming we're working with 2d data) with slope m and y-intercept c.

Now, this line is used to predict where can the next data point may lie.

When this best fit line is used to predict already present data point, we get the error that best fit line made when predicting the real data.

This is measured by "residual value"

For data point with ordinate b, we suppose get prediction as y

Then we have the residual value as y - b.

Remember, the prediction is before the real data point's ordinate.

Let the real value be b and the predicted value be y from which this residual was calculated.

Then we have:

y - b = 1.3

y = 1.3 + b

Thus, we see that prediction is bigger than the real data point's y-ordinate. Since y axis has increasing value as we go higher and higher vertically, thus this prediction value's ordinate is higher than that of real value's ordinate.

The prediction, since shows the height of best fit line on that input point, thus we have:

Option B: A data point is 1.3 units below the line of best fit.

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Answer:

Answer B

Step-by-step explanation:

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Answer: \(y=\dfrac12 x\) .

Step-by-step explanation:

We know that \(a f (x)\)  compresses f(x) vertically such that

If we vertically compress the linear parent function, F(x) = x, by multiplying by \(\dfrac12\).

Then, the equation of the new function is \(y=\dfrac12 F(x)=\dfrac12 x\) .

i.e. \(y=\dfrac12 x\) .

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Please check the attached images of answer for explanation as well as answer.

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Answer:

7,600.

Step-by-step explanation:

The 6 is the hundreds digit - as the next digit after it is 4 we leave the 6 as it is  so the answer is 7,600.

Answer:

7600

Step-by-step explanation:

First, 7648 rounded to the nearest hundred is:

7600

The daughter will have yearly amounts of $6,266.28, $6,266.28, $6,266.28, and $6,266.28 for her college career, starting from the age of 18 and continuing for four years.

To calculate the yearly amounts for the daughter's college education, we can use the formula for the future value of a series of even cash flows. Given that Mr. Parker plans to make 15 yearly payments of $1500 each, starting from his daughter's first birthday, and assuming an annual return of 12%, we can calculate the future value of these cash flows for the daughter's college education.

Using the FV formula, we can input the rate (12%), the number of periods (4), the payment amount ($1500), and the present value (0), and set the payment type as 1 to indicate that payments are made at the beginning of each period. This will give us the future value of the cash flows, which represents the total amount available for the daughter's college education.

Dividing the future value by 4 (the number of years the withdrawals will be made) will give us the equal yearly amounts that the daughter can withdraw for her college expenses. Therefore, the daughter will have yearly amounts of $6,266.28 for each year of her college career.

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Answer:

Step-by-step explanation:

240.37

Considering the equation of an ellipse, it is found that the height of the tunnel 10 feet from the edge is of 14 feet.

The following is the equation for a horizontal ellipse of center with coordinates (h,k):

(x - h)²/a² + (y - k)²/b² = 1.

In relation to this issue, we have that:

The origin is where the center is.

Since the major axis is 70, 2a = 70 and a = 35.

The maximum height is 20, therefore b is equal to 20.

As a result, the ellipse's equation is as follows:

x²/35² + y²/20² = 1.

It is determined that x = 25 when the tunnel is 10 feet from the edge since 35 – 10 = 25; therefore, the height y is calculated as follows:

25²/35² + y²/20² = 1

0.51 + y²/20² = 1

y²/20² = 0.49

y² = 20² x 0.49

y =√(20² x 0.49)

y = 14 feet.

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Answer: The first two

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Add three to both sides

Subtract 2x from both sides

2x=12

Divide by 2

X=6

Answer:

x = 6

Step-by-step explanation:

4x - 3 = 2x + 9

2x = 12

x = 6

The expression that shows the money that Liam has left is 250 - p/24.

An expression is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Amount with Liam = $250

Cost of gift bought = p

Number of friends = 24

The money that he has left will be:

= Initial amount - Amount paid for gift

= 250 - (p/24)

This illustrates the expression.

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Answer:

The value of x = 7

Step-by-step explanation:

Given the right triangle

so

Right angle + α + β =  180°

90° + 4x+7 + 8x-1 = 180

Group like terms

\(4x+8x+90+7-1=180\)

Add similar elements: :4x+8x=12x

\(12x+90+7-1=180\)

\(12x+96=180\)

\(12x=84\)

Divide both sides by 12

\(\frac{12x}{12}=\frac{84}{12}\)

\(x = 7\)

Therefore, the value of x = 7

Answer:

  t ∈ (-4.5, 2.25]

Step-by-step explanation:

You want to solve the compound inequality ...

  1/3t -5 < t -2 ≤ -3t +7

We can divide this into two inequalities.

  1/3t -5 < t -2   ⇒   -3 < 2/3t   ⇒   -4.5 < t

and

  t -2 ≤ -3t +7   ⇒   4t ≤ 9   ⇒   t ≤ 2.25

The solution interval is the intersection of these two solutions:

  -4.5 < t ≤ 2.25

  t ∈ (-4.5, 2.25]

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Answer: 14 - \(5x^{2}\)

Step-by-step explanation:

So what I would do is remove those parentheses so you would have

8 + \(6x^{2}\) + 6 - \(x^{2}\)

Then you are going to combine like terms that would look like

14 - \(5x^{2}\)

Hope that is correct

The cross sectional area of the cargo trailer floor, which is a composite figure consisting of a square and an isosceles triangle, indicates that the volume of the inside of the trailer is about 3,952 ft³.

A composite figure is a figure comprising of two or more regular figures.

The possible cross section of the trailer, obtained from a similar question on the internet, includes a composite figure, which includes a rectangle and an isosceles triangle.

Please find attached the cross section of the Cargo Trailer Floor created with MS Word.

The dimensions of the rectangle are; Width = 6 ft, length = 10 ft

The dimensions of the triangle are; Base length 6 ft, leg length = 4 ft

Height of the triangular cross section = √(4² - (6/2)²) = √(7)

The cross sectional area of the trailer, A = 6 × 10 + (1/2) × 6 × √(7)

A = 60 + 3·√7

Volume of the trailer, V = Cross sectional area × Height

V = (60 + 3·√7) × 6.5 = 3900 + 19.5·√7

Volume of the trailer = (3,900 + 19.5·√(7)) ft³ ≈ 3952 ft³

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Relative frequencies can be used to estimate probabilities occurring in a sampling distribution through the concept of the Law of Large Numbers.

Define the event of interest Determine the specific event or  outgrowth for which you want to estimate the probability in the  slice distribution.   Conduct repeated trials Perform a large number of independent trials or  compliances. Each trial should be done under the same conditions.   Count  circumstances Record the number of times the event of interest occurs within the total number of trials.  

Calculate relative  frequence Divide the count of  circumstances by the total number of trials to  gain the relative  frequence. This represents the proportion of times the event of interest  passed relative to the total number of trials.   reprise  way 2- 4 Repeat the process of conducting trials, counting  circumstances, and calculating relative  frequentness multiple times. The  further trials you perform, the more accurate your estimates will come.  

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