I need help! This is due in 30 minutes!!!

Answer:

The probability of getting a 2, 4, or 6 when a dice is rolled is 1/2, or 50%. This is because there are six possible outcomes when a dice is rolled, and three of them are favorable outcomes (2, 4, or 6). Therefore, the probability of getting a 2, 4, or 6 is 3/6, which simplifies to 1/2 or 50%.

The amount of Dividends of $3,000, $5,000, $34,500, and $71,000 were distributed to the 20,000 preferred and 25,000 common shareholders of Lightfoot Inc. over the first four years of operations.

To calculate the dividend per share of the preferred and common stock of Lightfoot Inc., the total amount of dividends paid out over the first four years must first be determined. This can be done by adding the given amounts of $3,000, $5,000, $34,500, and $71,000 to get a total of $113,500. To find the dividend per share for the preferred stock, the total dividend is divided by the number of shares (20,000) which gives a dividend per share of $5.68. To find the dividend per share for the common stock, the total dividend is divided by the number of shares (25,000) which gives a dividend per share of $4.54.

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Answer:

Angle 2

Step-by-step explanation:

Find S and find X.

Then find U.

The angle at X connected to S and U is the angle number.

Answer:

Step-by-step explanation:

The first step is to calculate the volume of the cylinder:

Volume = π x (radius)^2 x height

Volume = π x (16.2 cm)^2 x 710 cm

Volume ≈ 1.468 x 10^6 cm^3

Next, we can calculate the mass of the metal required to make the pole:

Mass = Density x Volume

Mass = 6.6 g/cm^3 x 1.468 x 10^6 cm^3

Mass ≈ 9.6948 x 10^6 g or 9694.8 kg

Finally, we can calculate the cost of the metal required:

Cost = Price per unit mass x Mass

Cost = $0.78/kg x 9694.8 kg

Cost ≈ $7,561.17

Therefore, the cost of the utility pole would be approximately $7,561.17, rounded to the nearest cent.

Answer:

52

Step-by-step explanation:

given that the number is a

The expression for Ten less than 5 times the value of a number is given by

5a - 10

10 times the quantity of  12 more than one-fourth of the number.

a/4 is one-fourth  of number

12 more than one-fourth of the number

a/4 + 12

expression for  10 times the quantity of  12 more than one-fourth of the number. is given by

10(a/4 + 12) = 10a/4 + 12*10 = 2.5a + 120

Given that the above two expression are equal

equating them we have

5a - 10 = 2.5a + 120

adding 10 both sides

=>5a - 10+ 10  = 2.5a + 120 + 10

=> 5a = 2.5a + 130

subtracting 2.5a from both sides

=> 5a - 2.5a = 2.5a + 130 - 2.5a

=> 2.5a = 130

dividing both side by 2.5

=> a = 130/2.5 = 52

Thus, value of a is 52

Answer:

4x + 3y + 2

Step-by-step explanation:

3(y + 2) + 4(x - 1)

3y + 6 + 4x - 4

4x + 3y + 2

Given:

circumference of a circle = 11304 units.....

to find: diameter of the circle=2 x radius of the circle

2pi x r = 11304

=>r = 11304 x 7 /22 x 1/2

=>r = 1798 units...

hence,radius of the circle = 1798 units.....

therefore, diameter of the circle = 1798 x 2 = 3596 units......

Answer:

I think it is 3598.2 units

Answer:

364 miles

Step-by-step explanation:

                               Rate        Time         Distance

Flight #1                 260             x               260x

Flight #2                 140           4-x           140(4-x)

Because each flight was to or from the same airports the distance traveled by flight #1 and flight #2 must be the same. This means that you can set the two calculated distances equal to each other.

260x = 140(4-x)

260x = 560 - 140x

400x = 560

      x = 1.4 hours      This is the amount of time flight 1 spent in the air.

now we can use this and plug it into the distance formula (260x) to find the distance

260(1.4) = 364

so the distance between the two airports is 364 miles

Simplifying, the exponents expression, we have 63y/xu⁴

Exponents are the powers to which a particular number is raised.

Given the expression 3y⁻⁴ . 3y⁵x⁸u⁻⁵.7x⁻⁹. To simplify the expression, we use the product rule of exponents which states that for a given base x, xᵃ xᵇ = xᵃ⁺ᵇ.

So, applying this rule to the expression and collecting common bases, we have that

3y⁻⁴ . 3y⁵x⁸u⁻⁵u.7x⁻⁹ = 3y⁻⁴ × 3y⁵ × x⁸ × 7x⁻⁹ × u⁻⁵ × u

= 3 × 3 × y⁻⁴ × y⁵ × 7 × x⁸ × x⁻⁹ × u⁻⁵ × u

Applying the product rule, we have that

= 3 × 3 × y⁻⁴ ⁺ ⁵ × 7 × x⁸ ⁺(⁻⁹) × u⁻⁵ ⁺ ¹

= 3 × 3 × y⁻⁴ ⁺ ⁵ × 7 × x⁸ ⁻ ⁹ × u⁻⁵ ⁺ ¹

= 3 × 3 × y × 7 × x⁻¹ × u⁻⁴

= 3 × 3 × 7 × y × x⁻¹ × u⁻⁴

Using the reciprocal rule that x⁻ⁿ = 1/xⁿ, we have that

= 3 × 3 × 7 × y × x⁻¹ × u⁻⁴

= 63 × y × 1/x × 1/u⁴

= 63y/xu⁴

So, simplifying, we have 63y/xu⁴

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Answer: y= -1/2x - 2.5

Step-by-step explanation:

Slope: y= mx+ b

m being the slope

b being the y intercept

You're given the slope, so you substitute m for -1/2

y=mx+b

y =  -1/2x + b

You have the coordinates (5, -5) which you can substitute (the line passes through that point.)

-5 = -1/2(5) + b

-5 = -2.5 + b

+2.5   +2.5

-2.5= b

y= -1/2x + 2.5

Check:

-5 = -1/2(5) - 2.5

-5 = -2.5 - 2.5

-5 = -5

Answer:

4

Step-by-step explanation:

Because he has to store it all and not all would fit in the third container.

Answer:

8 helpd

Step-by-step explanation:

i know it iv had probability b4

The measure of angle A is 63°, the measure of side b is 22.34 feet and the measure of side a is 37.57 feet.

From the given triangle ABC,

∠A+∠B+∠C=180° (Angle sum property of a triangle)

∠A+32°+85°=180°

∠A+117°=180°

∠A=180°-117°

∠A=63°

We know that, the formula for sine rule is sinA/a=sinB/b=sinC/c

Here, sin63°/a = sin32°/b = sin85°/42

sin63°/a = sin32°/b = 0.9961/42

sin32°/b = 0.9961/42 and sin63°/a = 0.9961/42

0.5299/b = 0.9961/42

0.9961b=22.2558

b=22.2558/0.9961

b=22.34 feet

sin63°/a = 0.9961/42

0.8910/a = 0.9961/42

0.9961a=37.422

a=37.422/0.9961

a=37.57 feet

Therefore, the measure of angle A is 63°, the measure of side b is 22.34 feet and the measure of side a is 37.57 feet.

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The total amount payable at the end of 4 years is 406

In this given sum we are provided with the values of principal , rate of interest , and the number of years , we are asked to calculate the amount payable after 4 years that is the matured amount which is calculated with the addition of the principal amount and the simple interest. For that we had to first find out the amount of interest and then we need to add that with the principal amount to get the matured amount or the amount that is payable at the end of 4 years.

here we have to apply the formulla of simmple interest :

(principal × rate of interest × no. of years )/ 100

In the given sum principal (p) = 350 , rate of interest (r) = 4% pa , no. of years (n) = 4

Simple interest = pnr/100

= (350 × 4 × 4)/100  = 56

Matured Amount = Principal + Interest

= 350 + 56 = 406

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Answer:

1. (a)  [-1, ∞)

   (b)  (-∞, -1) ∪ (1, ∞)

2. (a)  (1, 3)

    (b)  (-∞, 1) ∪ (3, ∞)

3. (a)  9.6 m and 0.4 m

   (b)  03:08 and 15:42

Step-by-step explanation:

The domain of a function is the set of all possible input values (x-values).

The range of a function is the set of all possible output values (y-values).

Part (a)

When x < 0, the function is f(x) = x².

Since the square of any non-zero real number is always positive, the range of the function f(x) for x < 0 is (0, ∞).

When x ≥ 0, the function is f(x) = sin(x).

The minimum value of the sine function is -1 and the maximum value of the sine function is 1.  As the sine function is periodic, the function oscillates between these values.  Therefore, the range of function f(x) for x ≥ 0 is [-1, 1].

The range of function f(x) is the union of the ranges of the two separate parts of the function.  Therefore, the range of f(x) is [-1, ∞).

Part (b)

The domain of the function g(x) = ln(x² - 1) is the set of all real numbers x for which (x² - 1) is positive, since the natural logarithm function (ln) is only defined for positive input values.

Find the values of x:

\(\implies x^2-1 > 0\)

\(\implies x^2 > 1\)

\(\implies x < -1, \;\;x > 1\)

Therefore, the domain of function g(x) is (-∞, -1) ∪ (1, ∞).

Part (a)

To determine the interval where f(x) < 0, we need to find the values of x for which the quadratic is less than zero.

First, set the function equal to zero and solve for x:

\(\begin{aligned} x^2-4x+3&=0\\x^2-3x-x+3&=0\\x(x-3)-1(x-3)&=0\\(x-1)(x-3)&=0\\ \implies x&=1,\;3\end{aligned}\)

Therefore, the function is equal to zero at x = 1 and x = 3 and so the parabola crosses the x-axis at x = 1 and x = 3.

As the leading coefficient of the quadratic is positive, the parabola opens upwards. Therefore, the values of x that make the function negative are between the zeros.  So the interval where f(x) < 0 is 1 < x < 3 = (1, 3).

Part (b)
Since the square root of a negative number cannot be taken, and dividing a number by zero is undefined, function f(x) has to be positive and not equal to zero:  f(x) > 0.

As the parabola opens upwards, the values of x that make the function positive are less than the zero at x = 1 and more than the zero at x = 3.

Therefore the domain of g(x) is (-∞, 1) ∪ (3, ∞).

Part (a)

The range of a sine function is [-1, 1]. Therefore, to calculate the maximal and minimal possible water depths of the bay, substitute the maximum and minimum values of sin(t/2) into the equation:

\(\textsf{Maximum}: \quad 5+4.6(1)=9.6\; \sf m\)

\(\textsf{Maximum}: \quad 5+4.6(-1)=0.4\; \sf m\)

Part (b)

To find the times when the depth is maximal, set sin(t/2) to 1 and solve for t:

\(\implies \sin \left(\dfrac{t}{2}\right)=1\)

\(\implies \dfrac{t}{2}=\dfrac{\pi}{2}+2\pi n\)

\(\implies t=\pi+4\pi n\)

Therefore, the values of t in the interval 0 ≤ t ≤ 24 are:

Convert these values to times:

15 divided by eight and seven fifty eight thousandths will give a quotient of one and seven hundred and three thousandths

One of the four fundamental operations, along with addition, subtraction, and multiplication, is division. A number is split using the straightforward method of division.

The division (/) operator creates the product of its operands, where the dividend is the left operand and the divisor is the right operand.

In the problem written the words the division is done by writing in figure as below

15 ÷ 8.758

Using calculator the quotient is 1.7127 = 1.713 to the nearest thousandth

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Answer:

  \(f_{ave}=\dfrac{9\pi}{4}\)

Step-by-step explanation:

You want the average value of f(x) = √(81 -x²) on the interval [0, 9].

The function f(x) defines a quarter circle of radius 9 in the first quadrant on the given interval. Its area is given by the formula in the problem statement:

  A = (1/4)πr² = (π/4)·81

The average value of the function is the area divided by the width of the interval:

  \(f_{ave}=\dfrac{\dfrac{81\pi}{4}}{9}\\\\\\\boxed{f_{ave}=\dfrac{9\pi}{4}}\)

__

Additional comment

You will notice that the average value is π/4 times the radius. This is also true for a semicircle. The attachment shows the rectangle with area equal to that of the quarter circle.

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Refraction is an effect that occurs when a light wave, incident at an angle away from the normal, passes a boundary from one medium into another in which there is a change in velocity of the light. Light is refracted when it crosses the interface from air into glass in which it moves more slowly.

Answer:

O The ranges of g(x) and f(x) are the same, but their domains are not the same.

Step-by-step explanation:

The statement that best describes g(x) and f(x) is:

The domains of g(x) and f(x) are the same, but their ranges are not the same.

Option A is the correct answer.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The function g(x) is obtained by taking the parent function f(x) = ∛x and performing a series of transformations:

- shifting the graph horizontally 6 units to the left

- shifting it vertically 8 units downward.

Since the cube root function is defined for all real numbers, both g(x) and f(x) have the same domain, which is the set of all real numbers.

However, the transformations applied to f(x) change the shape of the graph and the range of the function.

In particular,

g(x) is shifted 8 units downward, so its range is shifted down by 8 units compared to the range of f(x).

Therefore,

The domains of g(x) and f(x) are the same, but their ranges are not the same.

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Answer:

20f + 10 g or   10(2f + g)

Step-by-step explanation:

7f + 4f + 3f + 6f = 20f

2g + 8g = 10g

PLS MARK BRAINLIEST

Answer:

20f+10g

Step-by-step explanation: That was actually really easy

Chay can use 3 bags of mulch per flower bed.

Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.

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Answer:

18

Step-by-step explanation:

9 divided by 1/2 is the same as 9 multiplied by 2, which equals 18

Answer: I dont have one for sure but I can explain why this is true.

Step by Step:

sin(x+y)−sin(x−y)=sinxcosy+sinycosx−(sinxcosy−sinycosx)

=sinxcosy+sinycosx−sinxcosy+sinycosx

=sinxcosy+sinycosx−sinxcosy+sinycosx

=sinycosx+sinycosx

=2sinycosx

henceforth proved.

C. H2 1,96

To establish whether there is a significant difference between treatments using the Kruskal-Wallis test, the calculated value of H should be compared to the critical values ​​in the table of H values. The critical value of H to use depends on the significance level chosen for the test (0.05 in this case).

Using a significance level of 0.05, the critical value of H for a sample size of n-8 for each treatment is approximately H2 1.96. That is, if the calculated H value is greater than 1.96, we can conclude that there is a significant difference between the treatments.

Hence, the correct answer in this case is c. H2 1,96

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Answer:

B

Step-by-step explanation:

( so sorry if it's wrong)

Answer:

I think so none

answer to the following steps below:-

I hope my answer helps.

Answer:

x....y

0....-9

-9...0

Solution:  

Draw a line thru the 2 points.

Do the same for the other eqn. Where they incersect is the solution.

Here's the solution in attachment