can some one help me with this please​

Can Some One Help Me With This Please

Answers

Answer 1

Answer:

  3⁰ = 1

  x⁰ = 1

Step-by-step explanation:

You want powers of 3 filled in your table from an exponent of 4 down to an exponent of 0.

Powers of 3

3⁴ = 3·3·3·3 = 81 . . . . . . 3 is a factor 4 times

3³ = 3·3·3 = 27 . . . . . . .  3 is a factor 3 times

Each row of the table has 3 being a factor of 3^x one fewer times, so each value of 3^x is 1/3 of the previous value.

The last two rows of the table are ...

  3¹ = 3

  3⁰ = 1

See the attachment for the whole table.

In general, the meaning of x⁰ is ...

  x⁰ = 1

__

Additional comment

In algebra, 0⁰ = 1 is the usual definition. In some contexts (mathematical analysis, calculus), it may be "undefined."

That means x⁰ = 1 for all real numbers x, including x = 0.

Can Some One Help Me With This Please

Related Questions

The number of beads in a jar is 50 to the nearest ten.
(a) What is the minimum possible number of beads in the jar?
(b) What is the maximum possible number of beads in the iar?

Answers

a) the minimum possible number of beads in the jar is 45
b) the maximum possible number of beads in the jar is 54

Answer:

a) 45

b) 54

Step-by-step explanation:

a) To be able to round up to the nearest 10, the number in the "ones column" needs to be 5 at the minimum.

You could argue it could be a decimal point however, you shouldn't really have a decimal of a bead ( it's possible but it over complicates the answer ) and, it's to the nearest 10, not nearest one decimal point for example.

Therefore, the min is 45 beads

b) ( The above poster was correct oops, I made a silly mistake )

The max is 54 beads as if anything in the ones column is under 4, you can't round up to the nearest 10. Hence it remains as 50 when rounding

Therefore, the max is 54 beads

The graph shows the results of a survey that asked people to choose their favorite
dinner foods. One of the persons surveyed is chosen at random.
What is the probability that she chose Potatoes?

Answers

Answer:

7.5%

Step-by-step explanation:

a probability is always

desired cases / totally possible cases

the totally possible cases is everybody in the survey :

24+18+14+10+8+6 = 80

the desired cases are everybody having potatoes a favorite food : 6

the probability the picked person prefers potatoes is

6/80 = 3/40 = 0.075 = 7.5%

PLEASE HELP ME PLS ......

Answers

Look at the image below btw I’m not sure about 4, 5 and 6

Answer:

1 = 45

2 = 75

3 = 60

4 = 41

5 = 71

6 = 109

Step-by-step explanation:

This may seem tricky at first, but if you follow the order of the numbers, you can find them fairly quickly using the values already given.

For angle 1:

The angle above it of 45 degrees is similar to angle 1, so that it automatically going to be 45

For angle 2:

The same concept for angle 1 applies for angle 2, so it will be 75 degrees.

For angle 3:

All triangles add up to 180 degrees. So, since we have angles 1, and 2, solve to find 3:

180 - 45 - 75 = 60

For angle 4:

All straight lines add up to 180 degrees. So solve to find angle 4 using the value we found for angle 3:

180 - 60 - 79 = 41

For angle 5:

Angle 5 is part of another triangle and we have two of the angles already. So solve to find angle 5 using the logic used to find angle 3:

180 - 41 - 68 = 71

For angle 6:

angles 5 and 6 are part of a straight line, so use the same logic for angle 4 and solve for angle 6:

180 - 71 = 109

the graph shoes the value a stock( to the nearest dollar) over an 8-hour period. FInd the average rate of change in the stock from hour 3 to hour 7. Round to the nearest cent if necessary.

Answers

The average rate of change in the stock from hour 1 to hour 6 is -$0.20/hr.

What is average rate of change in stock?

By subtracting the price of a security at time B from the price of the same security at time A and dividing the result by the price at time A, the price rate of change can be calculated. The indicator is a technical analysis tool that measures unbounded velocity versus a zero-level middle.

We need to find the average rate of change of stock from 1 hour to 6 hours.

The value of stock was $11 in hour 1 and $10 in hour 6.

Average rate of change = Δy/ Δx

= $10 - $11 / 6-1

= - $1/5

= -$0.20 /hr

Hence, the average rate of change in the stock from hour 1 to hour 6 is -$0.20/hr.

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Jane had 5 1/6 pecan pies. Marge had 4 3/6 pecan pies. How much pie do they had all together?

Answers

Answer:

9 4/6

Step-by-step explanation:

5 + 4 = 9

1/6 + 3/6 = 4/6

9 4/6

Hope this helps! :)

3. The coordinate (4, 3) is the solution to which system of equations?

Answers

The coordinate (4, 3) is the solution of the following system of equations:

y = 1/2x + 1 and y = -x + 7

y = x - 1 and y = 1/4x + 2

The solution implies that the coordinate is the: point of intersection.

What is the Solution to a System of Equations?

The solution to a system of equations are the coordinate of the point where the two lines that represent the equations of the system intersect each other. The coordinate of x and the coordinate of y, when plugged into  any of the equations would be true.

The graph of the system of equations, y = x - 1 and y = 1/4x + 2 shows that both equations intersect at the point with the coordinate (4, 3) [see the graph in figure 1].

Also, the graph in figure two shows that y = 1/2x + 1 and y = -x + 7 also intersect at (4, 3).

Therefore, we can state that, the system of equations with (4, 3) as the solution are:

y = 1/2x + 1 and y = -x + 7

y = x - 1 and y = 1/4x + 2

The solution means point of intersection.

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$35.82 total. He gives the cashier $50. How much change should Rishank receive?

Answers

Answer: $14.18

Step-by-step explanation:

Because total change is the amount the cashier is giving back to us,

we can do

$ amount given - $ price of order = $ total change

So:

50 - 35.82 = $14.18

The cashier will give us $14.18 back in change.

In \triangle EFG,△EFG, \angle E \cong \angle G,∠E≅∠G, GE = 17GE=17 and FG = 10FG=10. Find the length of EF. EF

Answers

In the triangle EFG, ∠E≅∠G, GE = 17 units and FG = 10 units, then the length of the side EF is 10 units

The given triangle EFG

The length of the side GE = 17 units

The length of the side FG = 10 units

The measure of angle E is equal to the measure of angle G

The equation will be

∠E≅∠G

Therefore the triangle is Isosceles triangle

The length of the side FG will be equal to the length of the side FE

The length of the side EF = The length of the side FG = 10 units

Therefore, the length of the side EF is 10 units

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Three friends, Jessa, Tyree, and Ben, are collecting canned food for a culinary skills class. Their canned food collection goal is represented by the expression 9x2 − 3xy + 5. The friends have already collected the following number of cans:

Jessa: 5xy + 2
Tyree: 6x2 − 5
Ben: x2

Part A: Write an expression to represent the amount of canned food collected so far by the three friends. Show all your work. (5 points)

Part B: Write an expression that represents the number of cans the friends still need to collect to meet their goal. Show all your work. (5 points)

Answers

Answer:

Part A

7x² + 5xy – 3

Part B

2x² – 8xy + 8

Step-by-step explanation:

Part A

the canned food collected so far is the sum of the canned food the three friends have by combining the expression

5xy + 2 + 6x² – 5 + x²

= 6x² + x² + 5xy + 2 – 5

= 7x² + 5xy – 3

Part B

The total of cans the friend need to collect to meet their goal is the canned food collected so far minus their targeted goal

= 9x² – 3xy + 5 – (7x² + 5xy – 3)

= 9x² – 3xy + 5 – 7x² – 5xy + 3

= 9x² – 7x² – 3xy – 5xy + 5 + 3

= 2x² – 8xy + 8

i hope this helps

justin purchased a lawn sprinkler costing 9.23. If Justin recived 9.07 in change, how much money did he give the cashier

Answers

Answer: $18.30

Step-by-step explanation:

The sprinkler cost 9.23, and the change is 9.07, so adding both of them equal $18.30

Answer 18.3

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PLEASE HELP!! WILL GIVE BRAINLIEST AND 25 POINTS!!

Solve for x. Round your answer to the nearest tenth.

A. 11.5

B. 10.2

C. 12.0

Answers

Answer: 11.5

Step-by-step explanation:

[tex]\sin 35^{\circ}=\frac{x}{20}\\\\x=20 \sin 35^{\circ}\\\\x=11.5[/tex]

There is a dramatic change in desert temperatures from day to night because:
A: of the lack of nitrogen in the soil.
B: of the lack of water.
C: sand is such a poor insulator.
D: of the lack of vegetation

Answers

There is a dramatic change in desert temperatures from day to night because B. of the lack of water.

Why is there a change in temperature?

It should be noted that because the air in the desert is so dry, heat escapes quickly at night, the temperature can vary dramatically from day to night. The temperature during the day averages 38°C, while at night it can drop to -4°C in some deserts. The temperature varies greatly depending on where you are in the desert.

During the day, the sand's radiation from the sun's energy superheats the air, causing temperatures to rise. And, because the desert air is so dry, heat escapes quickly at night, according to NASA. The desert biomes are the driest of all biomes.

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2. Fill in the blanks to factor the trinomial 3x² + 13x - 10 by grouping.
3x² + 13x - 10 = 3x² -
=
3x²-x+.
_X+X-10
(3x - 2) +(3x - 2)
+
)(3x - 2)

Answers

Answer:

-2 and 15x and 5x and 5

Step-by-step explanation:

You want the steps involved in factoring 3x² +13x -10 by grouping.

Factors

To fill in the blanks, you need to know the product of the first and last coefficients, and the factor pairs of that product that have a sum equal to the middle coefficient.

   3(-10) = -30 = (-1)(30) = (-2)(15) = (-3)(10) = (-5)(6)

The sums of these factor pairs are 29, 13, 7, 1. The sum of interest is ...

  -2 + 15 = 13

These are the values that go in the first pair of blanks.

  = 3x² -2 x + 15 x -10

Factors of pairs

We want to identify the common factor for each pair of terms:

  = x (3x -2) + 5 (3x -2)

Factored trinomial

Finally, the common factor (3x -2) is removed and we have ...

  = ( x + 5 )(3x -2)

What is the value of x in the solution of systems below?

Answers

The solution for this system of equation will be [tex]x=4, y=-3.[/tex]

We will solve the given system of equation by the method of substitution. Now we label the equations as  [tex]2x+y=5....(i)[/tex] and [tex]-3x-5y=3....(ii)[/tex].

Now from equation [tex](i)[/tex] we will find the value of [tex]y[/tex] which is [tex]5-2x[/tex]. Then we will substitute the value of [tex]y[/tex] in equation [tex](ii)[/tex].

So, [tex]-3x-5\times(5-2x)=3[/tex]

⇒ [tex]-3x-25+10x=3[/tex]

⇒ [tex]7x-25=3[/tex]

⇒ [tex]7x=28[/tex]

[tex]\therefore x =\frac{28}{7}=4....(iii)[/tex]

Now we will take the value of [tex]x[/tex] from equation equation [tex](iii)[/tex] and substitute in equation [tex](i)[/tex] to get the value of [tex]y[/tex].

So, [tex](2 \times 4)+y=5[/tex]

⇒ [tex]8+y=5[/tex]

⇒ [tex]y=8-5[/tex]

[tex]\therefore y=3[/tex]

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A university will spend at most $4,500 to buy monitors and keyboards for a computer lab. Each monitor will cost $250, and each keyboard will cost $50.



Which inequality represents all possible combinations of x, the number of monitors, and y, the number of keyboards, the university can buy for the computer lab?

fifty x plus two hundred fifty y, symbol, four thousand five hundred

two hundred fifty X, plus fifty Y, symbol, four thousand five hundred

two hundred fifty X, plus fifty Y, symbol, four thousand five hundred.

fifty X plus two hundred fifty Y, symbol, four thousand five hundred

...

Answers

The inequality that represents all possible combinations of x, the number of monitors, and y, the number of keyboards, the university can buy for the computer lab is 250x + 50y <= 4500

Which inequality represents all possible combinations?

The given parameters are:

Spending = At most $4,500

Cost of monitor (x) = $250 per unit

Cost of keyboard (y) = $50 per unit

The total spending is represented as

Total = 250 * x + 50 * y

This gives

Total = 250x + 50y

The spending is at most $4,500 i.e less than or equal to

So, we have

250x + 50y <= 4500

Hence, the inequality that represents all possible combinations of x, the number of monitors, and y, the number of keyboards, the university can buy for the computer lab is 250x + 50y <= 4500

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Damian was out at a restaurant for dinner when the bill came. His dinner came to $26. He wanted to leave a 31% tip. How much was his meal plus the tip, before tax, in dollars and cents?

Answers

Answer:

34 dollars and 6 cents

Step-by-step explanation:

1 percent = 0.26

0.26 x 31 = 8.06

26 + 8.06 = 34 dollars and 6 cents

I believe it is 34.06

HELP PLEASE ?! HURRY

Answers

Only a line that goes from (0, 0) and (3.6, 14.4) satisfy the given relationship.

What is a expression? What is a mathematical equation? What is constant of proportionality?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.The general equation of a straight line is y = mx + c. The equation can also be used to represent direct proportionality as -

        y = mx

        m = y/x

        [m] is called constant of proportionality.

Given is a graph as shown in the figure.

The graph represents a proportional relationship. The possible coordinates that can be plotted are (x, y) and not (y, x). Only a line that goes from (0, 0) and (3.6, 14.4) satisfy the given relationship.

Therefore, only a line that goes from (0, 0) and (3.6, 14.4) satisfy the given relationship.

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What is the answer i need answers now I'm am going to fail
pls explain to

Answers

Answer:

Step-by-step explanation:

It is not a prime factorization because the term 8 is common multiplied by 2 and the line has 2 elevated to 3 that itselt is 8.

A prime factorization should be stay equal without any commom multiples.

You have two instruments with which to measure the height of a tower. If the true height is 100 meters, measurements with the first instrument vary with mean 100 meters and standard deviation 1. 2 meters. Measurements with the second instrument vary with mean 100 meters and standard deviation 0. 85 meter. You make one measurement with each instrument. Your results are X1 for the first and X2 for the second, and are independent. A) To combine two measurements, you might average them, Y=(X1+X2)/2. What are the mean and standard deviation of Y? b) It makes sense to give more weight to the less variable measurement because it is more likely to be close to the truth. Statistical Theory says that to make the standard deviation as small as possible you should weight X2 is very close to half the variance of X1, so X2 should get twice the weight of X1. That is, use W=1/3X1 + 2/3X2 What are the mean and standard deviation of W?

Answers

(a) The mean of Y is 100 meters, and the standard deviation of W is approximately 0.7348 meters.

(b) The mean of W is 100 meters, and the standard deviation of W is approximately 0.6935 meters.

a) To find the mean and standard deviation of Y, where Y = (X₁ + X₂) / 2, we use the properties of the mean and variance of a sum of independent random variables.

Mean of Y:

The mean of Y is simply the average of the means of X₁ and X₂, as the measurements are independent and have the same true height of 100 meters.

Mean(Y) = (Mean(X₁) + Mean(X₂)) / 2 = (100 + 100) / 2 = 100 meters

The standard deviation of Y:

When adding or subtracting independent random variables, the variances add up. Since the measurements are independent, we can use the formula:

Var(Y) = Var((X₁ + X₂) / 2) = (Var(X₁) + Var(X₂)) / 4

Now, calculate the variance of Y:

Var(Y) = (1.2² + 0.85²) / 4 ≈ 0.54

Standard deviation(Y) = √Var(Y)
                                    ≈ √0.54
                                      ≈ 0.7348 feet

b) Now, let's find the mean and standard deviation of W, where W = (1/3)X₁ + (2/3)X₂.

Mean of W:

Mean(W) = (1/3) * Mean(X₁) + (2/3) * Mean(X₂)
               = (1/3) * 100 + (2/3) * 100
               = 100 meters

The standard deviation of W:

To calculate the standard deviation of W, we need to find the variance of W and then take its square root.

Var(W) = (1/3)² * Var(X₁) + (2/3)² * Var(X₂)
            = (1/9) * 1.2² + (4/9) * 0.85²

Now, calculate the variance of W:

Var(W) = 0.0181 + 0.1956 =0.481

Standard deviation(W) = √Var(W)
                                     ≈ √0.481
                                      ≈ 0.6935 meters

So, the mean of W is 100 meters, and the standard deviation of W is approximately 0.6935 meters.

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The volume of a cylinder having height one and half of the radius is 12,936 m3 what minimum square cm of paper is needed to cover the curved surface area of the cylinder? The answer should be 1848m2. please solve my question.​

Answers

Answer:

Lateral Surface Area = 1848 m^2 (does not include the top and bottom)

Step-by-step explanation:

Vol Cylinder = pi*r^2 *h  

h = (3/2)r

Vol = pi*r^2((3/2)r)                     [We are told that the volume is 12,936 m^3]

pi*r^2((3/2)r) = 12,936 m^3  

pi*(3/2)*(r^3) = 12,936 m^3

pi*r^3 = (12,936 m^3)*(2/3)

pi*r^3 = 8,624 m

r^3 = (8,624 m)/(3.14)

r^3 = 2745.1

r = 14.0 m

Lateral Surface = 2*(pi)*r*h  [Lateral is just the curved portion of the right cylinder.

Lateral Surface Area = 2*(3.14)*(14.0)(21.0)

Lateral Surface Area = 1848 m^2

Solve 3+8X+6 = 5(X+2) + 3X-1

Answers

Answer: x= (−∞,∞)

Step-by-step explanation:

3+8x+6 = 5(x+2) + 3x-1

9+ 8x = 5x +10 + 3x -1

9 + 8x = 8x +9

Subtract nine on both sides

8x= 8x

 x = Any number!

A frying pan has a diameter of 13 inches. What is the area to the nearest whole square inch of the smallest cover that will fit on top of the frying pan

Answers

Answer:

176cm

Step-by-step explanation:

area of a circle(cover)= pie r square

therefore r=13÷2 =r=7.5. and pieces =22÷7

then we substitute

22÷7×(7.5 ×7.5)

=3.14×56.25

=176.58

to the nearest whole =176cm

In this diagram, the area of the large square is equal to the combined areas of the tilted square and the four right triangles.
(the picture)
When written as an equation, this relationship can be simplified algebraically, as shown in these 4 steps.

Step 1: (a + b) (a + b) = c2+ 2ab

Step 2: a2 + 2ab + b2 = c2 + 2ab

Step 3: a2 + 2ab ─ 2ab + b2 = c2 + 2ab ─ 2ab

Step 4:


What equation fits in the box in Step 4 to complete the proof

(part B)
Builders use the equation from Part A to determine the number, height, and depth of stairs necessary to extend from the first floor to the second floor of a building.

Given that the ceiling is 12 feet high, stairs are 8 inches high and the stairwell is 16 feet long, describe in detail how a builder could use the equation to determine the number, height, and depth of the stairs.​

Answers

Answer:

Step-by-step explanation:

help me please!!! :)

Answers

Answer:

A

(will be continued)

Step-by-step explanation:

this is an exponential graph

The original mass is 7.71 because it is being multiplied by the percentage.

0.9333 in percentage form is 93.33

Since it is being multiplied, by the original mass this means that 93.33% of it is the amount being left over.

100% - 93.33% = 6.67%

this is the decrease in the amount of the thing

***tell me if i explained it clearly i'm not sure if i did

Triangle KJL is similar to triangle HGI what is the length of HG

Answers

Answer:

3.75mm

Step-by-step explanation:

4.5/3=1.5

1.5(2.5)=3.75

the ratios are the same

What is the correct prime factorization of 24? 2 ∙ 2 ∙ 6 2 ∙ 3 ∙ 3 2 ∙ 2 ∙ 3 ∙ 3 2 ∙ 2 ∙ 2 ∙ 3

Answers

Answer:

2x2x2x3

Step-by-step explanation:

how would your conclusion change if your sample mean had been 1.355 mg/l? what point does this make about statistical significance?

Answers

A small change in x can change the conclusion of our test.

Given :

how would your conclusion change if your sample mean had been 1.355 mg/l.

t - test :

A t-test is a statistical test that compares the means of two samples. It is used in hypothesis testing, with a null hypothesis that the difference in group means is zero and an alternate hypothesis that the difference in group means is different from zero.

if x = 1.355

t = 1.355 - 1.3 / 0.18 / [tex]\sqrt{30}[/tex]

= 0.055 / 0.18 / [tex]\sqrt{30}[/tex]

= 0.055 * [tex]\sqrt{30}[/tex] / 0.18

= 1.67

df = n - 1

= 30 - 1

= 29

P - value from t table :

p = 0.525

fail to reject [tex]H_0[/tex]

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Full question :

The Environmental Protection Agency has determined that safe drinking water should contain no more than 1.3 mg/liter of copper. You are testing water from a new source, and take 30 water samples. The mean copper content in your samples is 1.36 mg/l and the standard deviation is 0.18 mg/l. There do not appear to be any outliers in your data .

how would your conclusion change if your sample mean had been 1.355 mg/l? what point does this make about statistical significance?

Reflect TIY across y=x to map onto DOG.
(PLEASE HELP!)

Answers

The coordinates will be after applying the transformation, I(-5,0) --I'(0, -5), Y(0, 2) - -> Y'(2, 0) and T(4, 4) --> T'(4, 4).

What is geometric transformation?

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

It is given that:

The graph is shown in the picture.

From the picture the coordinates are:

I(-5,0), Y(0, 2), and T(4, 4)

The transformation rule:

(x, y) --> (y, x)

I(-5,0) --I'(0, -5)

Y(0, 2) - -> Y'(2, 0) and

T(4, 4) --> T'(4, 4)

Thus, the coordinates will be after applying the transformation, I(-5,0) --I'(0, -5), Y(0, 2) - -> Y'(2, 0) and T(4, 4) --> T'(4, 4).

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what is (-4x² + 3x + 3)(x² - 2x + 2) as a polynomial

Answers

The given expression is in the form of the polynomial as -4x⁴+11x³-5x²+6 and the degree of the polynomial is 4.

What is a polynomial?

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

It is given that the polynomial expression is, (-4x² + 3x + 3)(x² - 2x + 2)

We have to simplify the expression by multiplying the expression as,

=-4x²(x² - 2x + 2)+3x(x² - 2x + 2)+3(x² - 2x + 2)

=-4x⁴+8x³-8x²+3x³-6x²+6x+3x²-6x+6

= -4x⁴+11x³-5x²+6

Thus, the given expression is in the form of the polynomial as -4x⁴+11x³-5x²+6 and the degree of the polynomial is 4.

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What will the dividend income be on W number of shares of XYZ stock if XYZ distributes a $Y per share dividend?

Answers

Answer:

In general, the dividend income on W number of shares of XYZ stock will be W * Y dollars if XYZ distributes a $Y per share dividend.

Step-by-step explanation:

The dividend income on W number of shares of XYZ stock will be W * Y dollars if XYZ distributes a $Y per share dividend. This is because the dividend income is calculated by multiplying the number of shares that an investor owns by the amount of the dividend per share.

For example, if an investor owns W = 100 shares of XYZ stock and XYZ distributes a $Y = 5 per share dividend, then the investor's dividend income will be 100 * 5 = 500 dollars.

In general, the dividend income on W number of shares of XYZ stock will be W * Y dollars if XYZ distributes a $Y per share dividend.

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write 3 sample sentences using impersonal expressions and an infinitivecan be anything It is often easier to maintain data in a datasheet using a form because all changes for a ____ are the focus at one time. Single record. Suppose that in 2020, the producer price index increases by 2 percent. As a result, economists most likely will predict thatSelect one:a. GDP will increase in the next year.b. the exchange rate will increase in the future.c. the consumer price index will increase in the future.d. next year the producer price index will fall. A light ray strikes the surface of crown glass (n = 1.520), at a 25 angle with respect to the normal from air (n = 1.000293), and leaves the glass, returning to the air. Determine the angle at which the light refracts when it enters the glass. which aspect of gothic literature do the first four chapters of frankenstien most clearly show we distinguish between ______ income and _____ income because receiving a salary increase Is better not getting one, but the additional dollars may not allow you to buy as many goods and services as last year, due to inflation A mutation occurs in a single bacterium that causes it to produce a new enzyme. This enzyme helps the bacterium process nutrients more efficiently, increasing the bacterium's odds of survival.Every 30 minutes, the bacteria in the colony divide, passing their genes on to their offspring. Some bacteria survive, while others do not. Because resources are limited, the colony has a steady population of 114 bacteria.The bacterial colony is shown below at three different time intervals.Assume that the survival trend shown in the diagram continues. At 3.0 hours, the mutant bacteria will make up percent of the entire colony. The steadily increasing size of the retinal image of an approaching object is especially important for perceiving the object'sa) shapeb) motionc) heightd) weight The population of Orange County is represented by the function f(x)=87,000(0.9), where x is the number of years since 2010 The population of Greene County was 78,000 in 2010, and has decreased exponentially at a rate of 8% each yearHow do the populations of these counties compare in 2015?Drag a value or word to the boxes to correctly complete the statements A ray of light strikes a smooth surface and is reflected. The angle of incidence is 35. What can be predicted about the angle of reflection? 6.1 Why We Need Organization in Speeches (Page 96)Separating the information into _____ to _____ logical categories helps the audiences reception and retention of the message. The volume of water in a rectangular, in-ground, swimming pool is given by V(x ) =x3 + 11x2 + 24x where V (x) is the volume in cubic feet when the water is x ft highWhat is the dimension of the base of the pool? (a) x + 3 and x + 8 (b) x + 4 and x + 7 (c) x + 4 and x + 8(d) x + 3 and x + 7 What is the volume of the pool when x = 3 ft?(a) 298 ft3 (b) 148 ft3 (c) 268 ft3 (d) 198 ft3If the volume is 100 ft3 of water, what is the height x ? (a) 2 ft (b) 3 ft (c) 4 ft (d) 5 ftIf the maximum capacity of the pool is 520 ft3 what is the maximum depth? (a) 2 ft (b) 3 ft (c) 4 ft (d) 5 ft According to the United Nations, in 2008 more than 900 million people globally were undernourished, and over______________ a day died of starvation. if my grade is a 92.30% and i got 70% on something that counted for 20% of my grade, what would the final grade be? Asking: For each sentence below, find the stem of the verb given and add the appropriate verb ending. sunshine company manufactures 100,000 table fans every year with a unit selling price what is the $c of a table fan g Please help me with English, I will give you 30 pointsComplete the second sentence so that it has a similar meaning to the first. Use two to five words including the word in capital letters.Example: The Science test will certainly go well for Larry tomorrow. DEFINITELYLarry will definitely do well in the Science test tomorrow.1.Raising money for AI research will probably be difficult, but not impossible. BOUNDIts Atbildeto raise money for AI research, but not impossible.2.Im sure John will do well in the chess tournament. CERTAINJohn Atbildedo well in the chess tournament.3.I dont think youll have any problems finding a replacement laptop battery. UNLIKELYYou Atbildeany problems finding a replacement laptop battery.4.Ask Neil about data processing because he certainly knows a lot about it. SUREAsk Neil about data processing because he Atbildea lot about it.5.What chance is there that they will judge the competition entries before Friday? LIKELYHow Atbildethe competition entries before Friday? doctoral scientists and engineers employed in universities and 4-year colleges according to all academic position were about the same overall for women and men. Describe what happened. When was there more potential energy in the system? when was there more kinetic energy in the system?. How do I deal with an aggressive father who scolds me even if it wasnt my fault. He is kind very rarely and is mostly ill- tempered. I just want to know how to deal with it