what is the value of 3⁴​

Answer: 64 and 81

Step-by-step explanation: I used my brain. :)

The number 72 lies between the perfect squares  64 and 81 . So, the square root of 72 lies between the numbers  7 and 8 , which means the square root of 72 is  a rational  number.

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Answer:

Step-by-step explanation:

A because its graph

Answer:

On a number line, −2 is located to the right of −3

Explanation:

It's better constructing a graph

In any case:

A.) On a number line, −2 is located to the left of −3.

-This is wrong. -2 is closer to the zero on the right thus, -3 is on the left of -2 and -2 is on the right of -3

B.) On a number line, −2 is located to the right of −3.

-This is correct

3.) On a number line, −2 is located to the left of 0 and −3 is located to the right of 0.

-This is wrong. Since both -2 and -3 are negative integers, both must be in the left of 0

4.) On a number line, −2 is located to the right of 0 and −3 is located to the left of 0.

-This is wrong. Since both -2 and -3 are negative integers, both must be in the left of 0

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

Answer:

7 hours

Step-by-step explanation:

here,

270/18=105/x

x=(105*18)/270

x=7

Chau made $270 for 18 hours of work. At the same rate,  Therefore Chau would have to work 7 hours at the same rate to make $105.

To find out how many hours Chau would have to work to make $105 at the same rate, we can set up a proportion using the given information:

Let x be the number of hours Chau needs to work to make $105.

We know that Chau made $270 for 18 hours of work, so the rate of earnings per hour is:

Rate = Total earnings / Number of hours

Rate = $270 / 18 hours

Rate = $15 per hour

Now, we can set up the proportion:

$15 per hour = $105 / x hours

To find x, we can cross-multiply:

$15 × x = $105

Now, solve for x:

x = $105 / $15

x = 7 hours

So, Chau would have to work 7 hours at the same rate to make $105.

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Answer:

External angle= 110º

Step-by-step explanation:

Sum of all angle of triangle = 180º

First you need to find t

t= 50 (see image below)

External angle ( the angle outside next to (t+20))

External angle + (t+20)= 180

External angle + 50+ 20= 180

External angle + 70 = 180

External angle= 110º

Answer:

C. 2y = -12

Step-by-step explanation:

Well a function is when all x values have only one corresponding y value and on a graph we can use the vertical line test and in doing so we know that the answer is C. 2y = -12

Answer:

Step-by-step explanation:hi

Answer:

67%

hope this helped :)

1.243 is the measure of the value of x from the given expression

Rational equations are those that contain rational expressions. A rational expression is a fraction with polynomial numerator and denominator. A rational expression, in other terms, is a ratio between two polynomials.

Given the following rational equation

√11 x = √17

We need to determine the measure of the value of x.

Taking the square of both sides we will have:

(√11 x)² = (√17)²

11x² = 17

x² = 17/11

x² = 1.545

Take the square root of both sides

√x² = √1.545
x = 1.243

Hence the measure of the value of x from the given equation is 1.243.

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There are a total of 3 forwards on the team.

A fraction represents a part of the whole or group of objects.In a fraction, numerator and denominator are separated by a horizontal bar known as the fractional bar

Given:

2/8 of the players are forwards.

Total number of players on the team = 12

We will determine the total number of forwards on the team by multiplying the total number of players by the fraction representing the forwards.

Fraction representing the forwards:

= 2/8

= 1/4

Total forwards on the team:

= 12 * (1/4)

= 3.

Translated question:

Of the 12 players on the team, 2/8 are forwards. What are the total forward in the team?

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9514 1404 393

Answer:

  9.6 miles

Step-by-step explanation:

Let x represent the round trip distance. Then Michelle's time was ...

  t = distance/speed

  1 = (x/2)/8 +(x/2)/12 = x(1/16 +1/24) = x(3/48 +2/48) = x(5/48)

  48/5 = x = 9.6

The round trip is 9.6 miles.

Answer:

798980 doctors

Step-by-step explanation:

In a recent year, 26.2% of all registered doctors were female. The total number of registered doctors is 172900.

The percentage is a quantifiable way of comparing amounts with different totals. Because the percent is an equivalent fraction of the part with the whole, it is also a good way to get unknown amounts.

Percentages are basically fractions with a denominator of 100. We use the percent symbol (%) beside a number to indicate that it is a percentage. To calculate the percentage, divide the value by the total value and multiply the result by 100.

As given, 26.2%  of all registered doctors are females.

Consider, the total number of registered doctors as x

26.2% of x are females

26.2% of x is 45,300

26.2 / 100 × x = 45,300

x =  45,300 × 100 / 26.2

x = 172900.76

Therefore, the total number of registered doctors is 172900.

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Answer:

45 premium tickets were sold

Step-by-step explanation:

p = premium

d = deluxe

r = regular

p+d+r = 273

6p+4d + 2r = 836

118+d = r

Replace r with 118+d

p+d+118+d = 273

p +2d = 273-118

p+2d = 155

6p+4d + 2(118+d) = 836

6p+4d + 236+2d = 836

6p +6d = 836-236

6p + 6d = 600

Divide by 6

p+d = 100

d = 100-p

Replace d in p +2d= 155

p +2(100-p) = 155

p+200-2p = 155

-p = 155-200

-p =-45

p =45

45 premium tickets were sold

Answer:

Step-by-step explanation

We get three linear equations from the information given, where

p= number of premium tickets

d = number of deluxe tickets

r = number of regular tickets:

\(\left \{ {{p+d+r=273} \atop \\{6p+4d+2r=836} \right.\)

and the applying third r=118+d, we get

\(\left \{ {p+d+118+d=273} \atop {6p+4d+2d+236=836}} \right.\)

\(\left \{ {{p+2d=115} \atop {6p+6d=600}} \right.\)

Now we get from the upper one

p=115-2d

solving the another equation gives us

6*115-12d+6d=600,

hence d=15

and by replacing

p=115-2*15=85.

85 premium tickets were sold

Answer: See below

Step-by-step explanation:

The first is a beaker, it's used to measure liquid volume

The second is a ruler, it's used to measure length.

Last is a thermometer, it's used to measure temperature.

Answer:

The bar 4-6 and 8-10

Step-by-step explanation:

I got it correct.

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

The answer would be 7x.

Answer:

70%

Step-by-step explanation:

The x value is first and the y value is second.point A is at (-3,-6)

Answer: 5 calories

Step-by-step explanation:

Given the data:

Minute ____calorie burned

40__________200

80__________400

120_________ 600

160_________ 800

We need to find the rate at which calorie is burned :

Rate of burn = (Number of calorie burned/ time taken)

Take any of the points :

Time = 80 ; calorie burned = 400

Rate of burn = (400 calorie / 80 minute )

Rate of burn = 5calorie/minute

If time = 1 minute ; rate = 5

Calorie burned in 1 minute :

Amount of calorie = rate of burn × time taken

Amount burned in 1 minute = 5 × 1 = 5 calories

Hence, amount of calorie burned in one minute is 5 calories.

Answer:

5

Step-by-step explanation:

Maps Testing I have done it.

Answer:

3768 mm ^ 3

Step-by-step explanation:

We have that the volume of a cone is given by:

V = 1/3 * Ac * h

Where Ac is the area of the circle, we know that the radius is half the diameter then:

r = d / 2

r = 12/2

r = 6

And Ac is equal to:

Ac = pi * r ^ 2

replacing:

Ac = 3.14 * 6 ^ 2

Ac = 113.04

113.04 mm ^ 2 is the area of the circle, replacing the volume form knowing that h = 100

V = 1/3 * 113.04 * 100

V = 3768

Therefore they fit a total of 3768 mm ^ 3

A triangle is a three-sided polygon, which has three vertices. In figure y=100 degrees, a= 40 degrees  x=100 degrees and y=100 degrees.

A triangle is a three-sided polygon, which has three vertices.

The three sides of a triangle are connected with each other end to end at a point, which forms the angles of the triangle.

As we see the figure

the angle of z is 40 degrees because the corresponding side has 40 degrees.

and a will be 40 degrees because the opposite side of corresponding angle of a has 40 degrees.

So

z+y+a=180

40+y+40=180

80+y=180

y=100 degrees.

x will be also 100 degrees because the opposite angle y has 100 degrees.

Therefore angle y=100 degrees, a= 40 degrees  x=100 degrees and y=100 degrees.

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Answer:

3

Step-by-step explanation:

Hello,

\(f(x)=2|x|-3\\f(-3)=2|-3|-3=2*3-3=6-3=3\)

Answer:

f(-3) = 3

Step-by-step explanation:

f(x)=2|x|−3

f(−3) = 2|-3| − 3

f(-3) = 2(3) - 3

f(-3) = 6 - 3

f(-3) = 3

Answer: i think that jacks volume would be 24 i think jills is 882 i believe but i may be wrong

Step-by-step explanation:

The intensity of sound which the decibel level of the sound measures 156 is 3.981 × 10³ W/m²

Decibel level, dB = 10log₁₀(I/I₀) where dB = decibel level = 156, I = intensity at 156 dB and I₀ = 10⁻¹² W/m².

Since we require I, making I subject of the formula, we have

dB/10 = log₁₀(I/I₀)

\(\frac{I}{I_{0} } = 10^{\frac{dB}{10} } \\I = I_{0} 10^{\frac{dB}{10} }\)

Substituting the values of the variables into the equation, we have

\(I = I_{0} 10^{\frac{dB}{10} }\\I = 10^{-12} 10^{\frac{156}{10} }\\I = 10^{-12} 10^{15.6}\\I = 10^{15.6-12} \\I = 10^{3.6} W/m^{2}\)

I = 3981.072W/m²

I = 3.981 × 10³ W/m²

So, the intensity of sound which the decibel level of the sound measures 156 is 3.981 × 10³ W/m²

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