write 3 numbers that make this inequality true: x>4​

Answer:

According to the table, there are **12** trees that are more than 8m tall but not more than 16m tall.

Source: (1) the table below shows the height of trees in a park. how many trees .... https://brainly.com/question/28952390 Accessed 16/03/2023.

-2x - 6 = -12

Add 6 to both sides.

-2x = -6

Divide both sides by -2

x = 3

Answer:

the picture isnt showing

Answer:

Part A:

1. Computation of Basic EPS

Basic EPS = (Net Income - Preferred Dividends) / Weighted Average Shares Outstanding²

Net Income = $120,000

Preferred Dividends = 4% x $50,000 = $2,000

Weighted Average Shares Outstanding = 100,000 (assuming no change in common stock during the year)

Basic EPS = ($120,000 - $2,000) / 100,000

Basic EPS = $1.18

2. Individual dilution/anti-dilution with decision making

We need to check if any of the convertible securities or stock options are dilutive or anti-dilutive by comparing their impact on EPS with the basic EPS.

Convertible Preferred: Each preferred share can be converted into 1.9 common shares (1,900 / 1,000). The conversion would increase the common shares outstanding by 1,900 and decrease the preferred dividends by $2,000.

EPS after conversion = ($120,000 - $0) / (100,000 + 1,900)

EPS after conversion = $1.16

Since this is lower than the basic EPS of $1.18, the convertible preferred is dilutive and should be included in the diluted EPS calculation.

Stock Options - A: Each option can be exercised at $12 to buy one common share when the average market price is $11. This means that the options are out of the money and would not be exercised by the holders. Therefore, they have no impact on EPS and are anti-dilutive.

Stock Options - B: Each option can be exercised at $7 to buy one common share when the average market price is $8. This means that the options are in the money and would be exercised by the holders. The exercise would increase the common shares outstanding by 4,000 and generate cash proceeds of $28,000 ($7 x 4,000). The cash proceeds can be used to buy back some common shares at the market price of $8. The number of shares bought back is 3,500 ($28,000 / $8). The net increase in common shares outstanding is 500 (4,000 - 3,500).

EPS after exercise = ($120,000 - $2,000) / (100,000 + 500)

EPS after exercise = $1.17

Since this is lower than the basic EPS of $1.18, the stock options - B are dilutive and should be included in the diluted EPS calculation.

Convertible Bonds: Each bond can be converted into 40 common shares (40,000 / 1,000). The conversion would increase the common shares outstanding by 40,000 and decrease the interest expense by $50,000 ($1,000,000 x 5%). The interest expense is net of tax, so we need to multiply it by (1 - tax rate) to get the after-tax amount. The tax rate is 30%.

EPS after conversion = ($120,000 - $2,000 + $50,000 x (1 - 0.3)) / (100,000 + 40,000)

EPS after conversion = $1.19

Since this is higher than the basic EPS of $1.18, the convertible bonds are anti-dilutive and should be excluded from the diluted EPS calculation.

3. Ranking of potential dilutors

We need to rank the potential dilutors from the most dilutive to the least dilutive based on their impact on EPS.

The most dilutive security is the convertible preferred with an EPS of $1.16.

The second most dilutive security is the stock options - B with an EPS of $1.17.

The least dilutive security is the convertible bonds with an EPS of $1.19.

4. Step-by-step inclusion of individual dilutors to arrive at reportable EPS with decision making.

We need to include the potential dilutors in order of their dilution until we reach a point where the next security would be anti-dilutive.

The first security to include is the convertible preferred.

EPS with convertible preferred = ($120,000 - $0) / (100,000 + 1,900)

EPS with convertible preferred = $1.16

The next security to include is the stock options - B.

EPS with stock options - B = ($120,000 - $0) / (100,000 + 1,900 + 500)

EPS with stock options

The value of the total costs of the businesses is,

⇒ N1,87,500

WE have to given that;

Two men shared the cost of a business in 2:3.

And, the smaller share is N750.00

Now, We get;

Ratios of the cost of a business are,

2x and 3x

Hence, We get;

2x = N750,00

x = N750,00/2

x = N375,00

So, The larger share is,

3x = 3 × N375,00

    = N1,12,500

Thus, The value of the total costs of the businesses is,

⇒ N750,00 + N1,12,500

⇒ N1,87,500

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The expression 1/12 x³ y + 7/12 x y² can be written as 1/12xy(x² + 7y) using common factor.

An algebraic expression is consists of variables, numbers with various mathematical operations,

The given expression is,

1/12 x³ y + 7/12 x y²

The common term in the expression is,

1/12xy

To simplify the expression,

take common to 1/12xy from the expression,

1/12xy(x² + 7y)

The required expression is 1/12xy(x² + 7y).

Hence, option (C) is correct.

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Answer:

\(4 \times 39.37 = 157.48\)

Answer:

24.11

Step-by-step explanation:

2001 ÷ 83

83×2= 166

200-166=34 bring down the 1

341 ÷ 83

83×4= 332

341-332=9 add a decimal and bring down a 0

90÷83

90-83=7 bring down another 0

70÷83=0 brind down another 0 since 70 cannot be divided by 83 and have a whole number

700÷83

83×8=664

700-664=36

right now you have 24.108

round to the nearest tenth

24.11

A rectangular prism is thought of as being created by stacking congruent polygons.

A solid (3-dimensional) object which has six faces that are rectangles. It has the same cross-section along a length, which makes it a prism.

Two geometric figures are said to be congruent, or to be in the relation of congruence, if it is possible to superpose one of them on the other so that they coincide throughout.

Stacking congruent figures means arranging the congruent figures on the top of the other until it become a large pile.

According to the given question.

We have to stack the congruent polygons.

As we know that stacking up means ​to keep increasing in quantity until we get a large pile.

Since, when we piled up of stack the congruent polygons we will get a prism.

For example when we stack congruent squares we will get cube or we can say a rectangular prism.

If we stack congruent octagons we will get an octagon prism.

Hence, a rectangular prism is thought of as being created by stacking congruent polygons.

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Step-by-step explanation:

a "zero" of a graph or function is an x value for which the y value is 0.

and that is only happening here for x = 4.

Answer:4x + 12 = 2 ( 2x + 6)

 Step-by-step explanation:

The power series of the given function  is 1 + (2x) + (2x)² + (2x)³+ --------------------- + (2x)ⁿ

We know very well that sum of n terms who are in geometric progression their sum of expression is given by  a/1-r where a is first term and r is common ratio between the terms.

Now, we have function f(x)=[1 / (1-2x)]

On comparing with a/1-r with f(x),we get

=>a=1 and r=2x

Now, we know that first term of geometric progression is given by =1

second term of geometric progression is given by=a × r= 1 ×2x

third term of geometric progression is given by =a×r² =1×(2x)²

fourth term of geometric progression is given by=a×r³ =1 × (2x)³

nth term of geometric progression is given by =a×(r)ⁿ = 1 × (2x)ⁿ

Therefore, according to the given formula progression series of given function is=a+ ar +ar² + ar³ + -----------arⁿ

=>progression series = 1+ 2x + (2x)² + (2x)³ + --------- + (2x)ⁿ.

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Answer:

x ≈ 30,37

y ≈ 29,00

Step-by-step explanation:

Use trigonometry:

\( \sin(38°) = \frac{9}{x} \)

Now, use the property of the proportion to find x:

\(x = \frac{9}{ \sin(38°) } ≈30.37\)

Do the same thing to find y:

\( \tan(38°) = \frac{9}{y} \)

\(y = \frac{9}{ \tan(38°) } ≈29.00\)

Answer:

E and C

Step-by-step explanation:

hello

in this question, we have z + y - 6 = 0

y = 6 and z = 2

substitute z and y into the equation

the answer is equal to 2

just substitute z and y into the equation

The value of m∠G = 48.6° .

A triangle is a polygon with three sides , angles and vertices.

It is given that

In ΔFGH, FH = 9 ft, FG = 11 ft, and m∠F = 65°

m∠G = ?

well, using the law of cosines,

GH ² = 9² + 11² - 2(9)(11) cos65°

f = 10.88 ft

now, using the law of sines,

sinG/9 = sin65°/10.88

m∠G = 48.6°

Therefore the value of m∠G = 48.6° .

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Answer:  x= -3 11/20 Decimal form: x=-3.55

Step-by-step explanation:

Answer:

Supplementary

Step-by-step explanation:

84 plus 96 equals 180 degrees

supplementary angles are angles that add up to 180 so their relationship is supplementary

a) the demand equation in the form of p = f(Q) is p = -10/3Q + 14533.33

b) when the price per unit of calculators is Rs 1650, approximately 3865 calculators are demanded.

c) when 4500 calculators are demanded, the price per unit should be approximately Rs 3010.

To find the demand equation in the form of p = f(Q), we need to determine the relationship between the price per unit (p) and the quantity demanded (Q) based on the given information.

Let's use the two data points provided:

Point 1: Price (p1) = Rs 1200, Quantity (Q1) = 4000

Point 2: Price (p2) = Rs 1500, Quantity (Q2) = 3000

First, we calculate the slope of the demand equation using the formula:

Slope = (Q2 - Q1) / (p2 - p1)

Substituting the values, we get:

Slope = (3000 - 4000) / (1500 - 1200) = -1000 / 300 = -10/3

Next, we use one of the data points and the slope to find the y-intercept (b). Let's use Point 1:

p1 = Rs 1200, Q1 = 4000

Using the equation of a straight line (y = mx + b), we can rearrange it to solve for b:

b = y - mx

b = 1200 - (-10/3)(4000) = 1200 + 40000/3 = 1200 + 13333.33 = 14533.33

Therefore, the demand equation in the form of p = f(Q) is:

p = -10/3Q + 14533.33

To find the number of calculators demanded (Q) when the price per unit is Rs 1650, we can rearrange the equation and solve for Q:

1650 = -10/3Q + 14533.33

-10/3Q = 1650 - 14533.33

-10/3Q = -12883.33

Q = (-12883.33) / (-10/3)

Q = 12883.33 * 3/10

Q ≈ 3865

Therefore, when the price per unit of calculators is Rs 1650, approximately 3865 calculators are demanded.

Now, let's determine the price per unit (p) when 4500 calculators are demanded. We rearrange the equation and solve for p:

4500 = -10/3Q + 14533.33

-10/3Q = 4500 - 14533.33

-10/3Q = -10033.33

Q = (-10033.33) / (-10/3)

Q = 10033.33 * 3/10

Q ≈ 3010

Therefore, when 4500 calculators are demanded, the price per unit should be approximately Rs 3010.

By using the slope-intercept form of a linear equation and the given data points, we can determine the demand equation and solve for various scenarios, including finding quantities demanded at specific prices and determining the appropriate price for a given quantity demanded.

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Answer:

-2y - 4

Step-by-step explanation:

\(3y-4-5y\\\\3y-5y-4\\\\\boxed{-2y-4}\)

'3y' and '-5y' are like terms, so we combine them.

Hope this helps.

9514 1404 393

Answer:

 no

Step-by-step explanation:

If triangle side lengths are an arithmetic sequence (have a common difference), they must have the ratios 3:4:5 to make a right triangle. Here, the ratios of the side lengths are 4:5:6, so will not be a right triangle.

After cοmpleting the task, we can state that The whοle number clοsest tο  expressiοn 7.141 is 7. Therefοre, √51 is clοsest tο the whοle number 7.

The whοle numbers are the part οf the number system which includes all the pοsitive integers frοm 0 tο infinity. These numbers exist in the number line. Hence, they are all real numbers. We can say, all the whοle numbers are real numbers, but nοt all the real numbers are whοle numbers.

Thus, we can define whοle numbers as the set οf natural numbers and 0. Integers are the set οf whοle numbers and negative οf natural numbers. Hence, integers include bοth pοsitive and negative numbers including 0. Real numbers are the set οf all these types οf numbers, i.e., natural numbers, whοle numbers, integers and fractiοns.

√51 is apprοximately equal tο 7.141. The whοle number clοsest tο 7.141 is 7.

Therefοre, √51 is clοsest tο the whοle number 7.

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Answer: x=13

Step-by-step explanation: i think

The total area of all the pieces would be: -  x² + y² + 2xy = (x + y)².

This tile collection is composed of four tiles: two squares, each with sides of length x, and two rectangles, each with sides of length x and y.

The total area of all of the pieces can be expressed algebraically as A = x² + 2xy.

This expression can also be written as A = x² + xy + xy.

This tile collection is an example of a two-dimensional shape composed of two squares and two rectangles.

By adding the areas of each of these shapes, we can calculate the total area of the tile collection.

The area of each square is x², and the area of each rectangle is xy.

Adding these three expressions together gives us the total area, A = x² + 2xy.

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The given function is:

It is required to find the inflection points and determine open intervals where the function is concave upwards and concave downwards.

To do this, find the second derivative of the function and equate it to zero.

Find the first derivative:

Differentiate again to get the second derivative:

Equate the second derivative to zero and solve for x:

Hence, the inflection points are -2 or +2.

Choose auxiliary points -3,0,3 (on the left of -2, between -2 and +2, and on the right of +2) to test for concavity. If f''(x)>0, then f(x) is concave upward, if f''(x)<0, then f(x) is concave downward.

Substitute x=-2 into the second derivative:

Since f''(-3)>0, it follows that the function is concave upward in the interval (-∞,-2).

Substitute x=0 into the second derivative:

Since f''(0)<0, it follows that the function is concave downward in the interval (-2,2).

Substitute x=3 into the second derivative:

Since f''(3)>0, it follows that the function is concave upward in the interval (2,∞).

Answers:

The inflection points are -2 and +2.

The function is concave upward in the open intervals (-∞,-2) and (2,∞).

The function is concave downward in the open interval (-2,2).

Step-by-step explanation:

hope this will help you......

Answer:

\((4y + 5)( - 2y + 3) =-3 -7y - 8 {y}^{2}+9y - 9 \\ - 8 {y}^{2} + 12y - 10y + 15 = - 12 + 2y - 8 {y}^{2} \\ - 8 {y}^{2} + 2y + 15 = - 12 + 2y - 8 {y}^{2} \)

Answer:

4 and -7

Step-by-step explanation:

a coefficient is a number that is being multiplied with a variable (ex:5a) in this case the coefficients are 4 and -7

Answer:

4 and -7

Step-by-step explanation:

the coefficient is the number in front of the letter.

Answer:

At the time the ball was thrown, it was 8 feet above the ground.

h'(x) = -32x + 64 = 0, so x = 2

The ball reaches its maximum height after 2 seconds.