HEELLLPP MEEEE PLZZZZ!!!!!

Answer:

\(\frac{X}{100} =\frac{600}{800} \\\\X = \frac{6}{8} \times 100 = 75\)

Answer:

  26√11 square inches

Step-by-step explanation:

You want to know the area of a triangle with side lengths 13, 15, and 24 inches.

The area of a triangle can be found using Heron's formula:

  A = √(s(s -a)(s -b)(s -c)) . . . . . where s = (a+b+c)/2

For (a, b, c) = (13, 15, 24), the area is ...

  s = (13 +15 +24)/2 = 26

  A = √(26(26 -13)(26 -15)(26 -24)) = √(26·13·11·2) = 26√11

The area of the triangle is 26√11 square inches.

__

Additional comment

That's about 86.23 square inches.

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Answer:

32 cents.

Step-by-step explanation:

The unit price in this case is how much money it costs for one toaster pastry.

To find this, we would do 2.88 divided by 9, leaving us with 0.32, or

32 cents.

Answer:

if you divide 2.88 by 9 its 32 cents!

The action of each investor is indicated based on the given scenario, as follows:

Action     Scenario

1. Sell      Anita wants to sell since the price of the investment is getting higher, though, with some risk of dropping soon.

2. Buy     Steve is much more interested in purchasing more investments than just holding or selling, as he wants to add to his investments.

3. Sell     Pat wants to sell by liquidating non-performing assets.

4. Hold   Imran will be holding her investments as she is undecided yet.

5. Buy    Anya is acquiring or buying investments in a flourishing company.

Thus, the actions of the investors depend on the presented scenarios.  The correct actions are matched with the appropriate scenarios.

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Answer:

1. Sell  

Anita wants to sell since the price of the investment is getting higher, though, with some risk of dropping soon.

2. Buy

Steve is much more interested in purchasing more investments than just holding or selling, as he wants to add to his investments.

3. Sell

Pat wants to sell by liquidating non-performing assets.

4. Hold

Imran will be holding her investments as she is undecided yet.

5. Buy

Anya is acquiring or buying investments in a flourishing company.

Thus, the actions of the investors depend on the presented scenarios.  The correct actions are matched with the appropriate scenarios.

Answer:

6k-5

Step-by-step explanation:

Answer:

k

Step-by-step explanation:

6-5=1

1*k=k

Answer:

One daylily costs $9, and one pot of ivy costs $9.

Step-by-step explanation:

Step 1: Write a System of Algebraic Equations

We are given 2 different variables, or "unknowns", that we need to find the value of here - the cost of one daylily, and the cost of one pot of ivy. We know that the cost of each plant remains constant (doesn't change), and we are given the following information:

We can see that we have a system of equations in the making. The first thing to do when writing a system is assign letters to variables. Let's let the cost of one daylily be denoted as \(d\), and the cost of one pot of ivy be denoted as \(i\) (in dollars for each). From the above information, we can write the system:

\(d+8i=81 \hspace{0.8cm} (1)\\10d+11i=189 \hspace{0.1cm} (2)\)

Step 2: Solve the System (with Substitution)

Now that we have a solution, let's use it to solve for the value of each variable. There are many ways to do this (addition, subtraction, etc), but it seems that the quickest way to solve this particular system is using the substitution method. This is where you write one variable in terms of the others by manipulating one equation, and then substituting that expression in for the isolated variable in the other equation. It's easy to do this here because we already have a \(d\) in (1).

Isolating \(d\) in (1) by subtracting \(8i\) from both sides, we get:

\(d+8i=81\\d=81-8i\hspace{0.5cm} (3)\)

Substituting (3) into (2) and solving for i, we get:

\(10d+11i=189\\10(81-8i)+11i=189\\810-80i+11i=189\\810-69i=189\\-69i=-621\\\bf i=9\)

Substituting this value into (3), we get:

\(d=81-8i\\=81-8*9\\=81-72\\=\bf9\)

Therefore, one daylily costs $9, and one pot of ivy costs $9.

The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model. The model assumes that the value of a stock is equal to the present value of all its expected future dividends.

First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17

Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40

Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65

Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92

Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.

The present value of the dividends can be calculated as follows:

PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n)

where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value:

PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)

PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5

PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59

PV ≈ $16.22

Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

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The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model.
The model assumes that the value of a stock is equal to the present value of all its expected future dividends. First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17
Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40
Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65
Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92
Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.
The present value of the dividends can be calculated as follows:
PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n) where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value: PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)
PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5
PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59
PV ≈ $16.22
Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

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Explanation:

Let's square both sides and do a bit of algebra to get the following.

\(\sin(x) + \cos(x) = 1/5\\\\\left(\sin(x) + \cos(x)\right)^2 = \left(1/5\right)^2\\\\\sin^2(x) + 2\sin(x)\cos(x) + \cos^2(x) = 1/25\\\\\sin^2(x) + \cos^2(x) + 2\sin(x)\cos(x) = 1/25\\\\1 + 2\sin(x)\cos(x) = 1/25\\\\\sin(2x) = 1/25 - 1\\\\\sin(2x) = 1/25 - 25/25\\\\\sin(2x) = -24/25\\\\\)

Now apply the pythagorean trig identity to determine cos(2x) based on this. You should find that cos(2x) = -7/25

This then means tan(2x) = sin(2x)/cos(2x) = 24/7.

From here, you'll use this trig identity

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

which is the same as solving

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

where w = tan(x)

Plug in tan(2x) = 24/7 and solve for w to get w = -4/3 or w = 3/4

So either tan(x) = -4/3 or tan(x) = 3/4.

If we were to numerically solve the original equation for x, then we'd get roughly x = 2.21; then notice how tan(2.21) = -1.345 approximately when your calculator is in radian mode.

Since tan(x) < 0 in this case, we go for tan(x) = -4/3

Answer:

4/5 brownies for each person.

Step-by-step explanation:

4 brownies between 5 people equals 4/5, or 4 divided by 5.

Answer:

22 miles

Step-by-step explanation:

The taxi company charged a pick-up fee of $3.40 plus $3.50 per mile. The total fare was $80.40.

The equation will be:

3.40 + 3.50(x) = 80.40

3.40 + 3.5x = 80.40

3.5x = 80.40 - 3.40

3.5x = 77

x = 77/3.5

x = 22

The number of miles in the taxi ride is 22 miles.

Answer:

Shift the graph of y = x2 left 13 units and then up 6 units.

Step-by-step explanation:

Answer:

You start with the graph y=x^2, you shift the graph right 13 units to get y=(x-13)^2, then you shift the graph up 6 units to get y=(x-13)^2+6. Hope this helps!

y = 29 - 0.75x (option C)

The initial amount of gallons of diesel fuel = 29 gallons

Rate of consumption of fuel = 0.75 gallons per hour

we write the above information in the form of a liear equation:

y = mx + c

m = rate of consumption of fuel = 0.75 gallons per hour

c = intial amout of diesel fuel = 29

SInce, we are using up the fuel, it means the initial amount will be reducing every hour.

Our rate of consumption will be negative.

The equation becomes:

y = - 0.75x + 29

y = 29 - 0.75x (option C)

The answer is:

Work/explanation:

A negative times a negative gives a positive:

\(\bullet\phantom{333}\bf{(-4)\times(-5)=20}\)

\(\bullet\phantom{333}\bf{(-8)\times(-10)=80}\)

\(\bullet\phantom{333}\bf{20\times80}\)

\(\bullet\phantom{333}\bf{1,600}\)

Answer:

3.5/100*8=.28

Step-by-step explanation:

To find the sum of the vertex angles in various polygons, we need to sketch the polygons and then calculate the sum. For a hexagon, octagon, and dodecagon, the sums of the vertex angles are 720°, 1,080°, and 1,800°, respectively.

a. Hexagon: A hexagon is a polygon with six sides. To find the sum of the vertex angles, we can divide the hexagon into triangles. Since each triangle has an interior angle sum of 180°, the hexagon can be divided into four triangles. Therefore, the sum of the vertex angles in a hexagon is 4 * 180° = 720°.

b. Octagon: An octagon is a polygon with eight sides. Similar to the hexagon, we can divide the octagon into triangles. Dividing it into six triangles, each with an interior angle sum of 180°, the sum of the vertex angles in an octagon is 6 * 180° = 1,080°.

c. Dodecagon: A dodecagon is a polygon with twelve sides. Dividing it into ten triangles, each with an interior angle sum of 180°, the sum of the vertex angles in a dodecagon is 10 * 180° = 1,800°.

Therefore, the sum of the vertex angles in a hexagon is 720°, in an octagon is 1,080°, and in a dodecagon is 1,800°.

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Find the sum of the vertex angles of the following polygons---

a. A hexagon

b. An octagon

c. A dodecagon.

Answer:

\( \frac{x}{4} + \frac{1}{2} = \frac{1}{8} \)

\( \frac{x}{4} = - \frac{3}{8} \)

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

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

Consider the equation, we have only one x term, so taking all the terms without x to the other side and terms with x on one side.

x/4 + 1/2 = 1/8

Take the 1/2 term on the other side,

x/4=1/8 - 1/2

Taking the LCM on the Right side,

x/4 = (1-4) / 8

x/4 = -3/8

Now, we have x/4 so what we can do is, shift the 4 to the other side too, we get,

x = ( -3/8) * 4

x = -3/2

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

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Answer:

No, it's just maximum of two tables that lost balloon so there is no way it affected each table.

Step-by-step explanation:

Number of balloons purchased= x

Number of tables = 8.

Each table has = x/8 balloons

If 2 balloons pop.

Let's assume it's just from a table

That table has( x/8 -2)

If it's from 2 table

The two table has

(X/8-1) for both tables

But the total balloon remaining = x-2

There is no particular equation that can describe the gallon on each table because it's only two balloons that popped.

Answer:

That expression is not true. To evenly distribute the balloons you use x/8. Then you subtract 2 balloons from that total amount. The subtraction must be done after the division. There will not be the same number of balloons at each table.

Step-by-step explanation:

It was the sample answer.

Answer:

see explanation

Step-by-step explanation:

to find the zeros let f(x) = 0

1

f(x) = 0 , that is

x(x + 10) = 0

equate each factor to zero and solve for x

x = 0

x + 10 = 0 ⇒ x = - 10

2

f(x) = 0 , that is

x(x - 3) - 4(x - 3) = 0 ← factor out (x - 3) from each term on the left side

(x - 3)(x - 4) = 0

equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x - 4 = 0 ⇒ x = 4

Answer:

1) x₁ = 0, x₂ = -10

2) x₁ = 3, x₂ = 4

Step-by-step explanation:

Given functions:

\(1)\ f(x)=x(x+10)\)

\(2)\ f(x)=x(x-3)-4(x-3)\)

.................................................................................................................................................

Zero Product Property: If m • n = 0, then m = 0 or n = 0.

Distributive Property: a(b + c) = ab + ac.

Standard Form of a Quadratic: ax² + bx + c = 0.

.................................................................................................................................................

The Zero Product Property

1) f(x) = x(x + 10)

Step 1: Set the function to zero.

\(\implies 0=x(x+10)\)

Step 2: Apply the Zero Product Property.

\(\boxed{x_1=0}\)

\(x+10=0\implies \boxed{x_2=-10}\)

The solutions to this quadratic are: \(x_1=0,\ x_2=-10\).

.................................................................................................................................................

The Zero Product Property

2. f(x) = x(x - 3) - 4(x - 3)

Step 1: Set the function to zero.

\(\implies 0 = x(x - 3) - 4(x - 3)\)

Step 2: Factor out \(x- 3\).

\(\implies 0 = (x - 3)(x - 4)\)

Step 3: Apply the Zero Product Property.

\(x-3=0\implies \boxed{x_1=3}\)

\(x-4=0 \implies \boxed{x_2=4}\)

The solutions to this quadratic are: \(x_1=3,\ x_2=4\).

.................................................................................................................................................

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A survey that includes the identity of the property owner provides essential information regarding the legal ownership of the property. Option A

Legal and Administrative Purposes: Identifying the property owner is necessary for legal and administrative purposes. It establishes the rightful owner of the property and allows for proper documentation, contracts, and legal transactions related to the property.

Communication and Contact: The identity of the property owner allows for effective communication and contact between stakeholders. It enables interested parties, such as potential buyers, tenants, or authorities, to reach out to the owner for inquiries, negotiations, or obtaining necessary permissions.

Property Rights and Obligations: Understanding the identity of the property owner is essential for determining rights and obligations associated with the property.

Ownership Verification: The identity of the property owner helps in verifying the legal ownership of the property. It provides assurance to potential buyers, lenders, or investors that the seller or claimant is the rightful owner, reducing the risk of fraudulent transactions or disputes.

Transfer of Property: In cases of property transfers, such as sales or inheritances, the identity of the property owner is necessary to ensure a smooth transfer of ownership. It allows for the proper documentation of the transfer and updating of records with relevant authorities.

Option A

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Answer:

65.3%.

Step-by-step explanation:

The general formula is:

nCr p^r (1 - p)^(n-r)    where n = number of trials, p =probability of success on one trial , r = the given number of successes

So for 2, 3 or 4 success ;

probability = 5C2 (0.4)^2 (0.60)^(5-2) + 5C3 (0.4)^3 (0.60)^(5-3)

                      +  5C4 (0.4)^4 (0.60)^(5-4)

= 0.3456 + 0.2304 + 0.0768

= 0.6528.

The 90% confidence interval for the average speed of all the cars passing through the intersection is (41.29, 42.71) miles per hour.

To calculate the confidence interval, we can use the formula:

Confidence interval = Sample mean ± (Critical value * Standard error)

Given that the sample mean is 42 miles per hour and the standard deviation is 4.2 miles per hour, we need to determine the critical value and the standard error.

Since we have a sample size of 85, we can use the t-distribution with (n-1) degrees of freedom to find the critical value. With a 90% confidence level, the corresponding critical value for a two-tailed test is approximately 1.66.

The standard error is calculated as the standard deviation divided by the square root of the sample size:

Standard error = (Standard deviation) / √(Sample size)

Standard error = 4.2 / √85 ≈ 0.456

Now we can plug in the values into the confidence interval formula:

Confidence interval = 42 ± (1.66 * 0.456)

Confidence interval ≈ (41.29, 42.71)

Therefore, the 90% confidence interval for the average speed of all the cars passing through the intersection is (41.29, 42.71) miles per hour.

Based on the given data and calculations, we can conclude that with 90% confidence, the average speed of all the cars passing through the intersection falls within the range of 41.29 to 42.71 miles per hour.

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The equation of the line passing through ((1)/(7),-(7)/(6)) and has an undefined slope is y = a, where 'a' is a constant number.

Given that the line passing through ((1)/(7),-(7)/(6)) and has an undefined slope.

We know that the undefined slope is vertical and is parallel to the y-axis. So the line passes through ((1)/(7),-(7)/(6)) and parallel to the y-axis will be a vertical line.  

The equation of a vertical line is x = a where 'a' is a constant number.

Here x = (1)/(7), so x = a. We can write it as, 1/7 = a or

a = 1/7.

The equation of the line passing through ((1)/(7),-(7)/(6)) and has an undefined slope is x = 1/7 or

y = -(7/6).

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Answer:

2 Height ft and 6.75 length ft

Step-by-step explanation:

You just decrease it to 1:16

so, 34:108 is 2:6.75 to be about the same size as 1:16

Answer: If each of the s swimmers on the relay team swam an equal number of the 8 laps in a race, the expression that shows how many laps each swimmer swam would be 8/s.

This expression shows that each swimmer swam 8 laps, divided by the total number of swimmers on the team, s.

So, if there are 's' swimmers on the relay team, each swimmer swam 8/s laps.

Step-by-step explanation:

Answer:

The answer would be D) 75,000+7,500y≥3,25000.

Step-by-step explanation:

Since there were 175,000 tons of trash in the landfill on January 1,2000, and the amount of trash in the landfill increased by 7,500 tons each year after that date, the amount of trash, in tons, in the landfill y years after January 1,2000, can be expressed as 1,75000+7,500y.

The landfill has a capacity of 325,000 tons.

Therefore, the set of years where the amount of trash in the landfill is at (equal to) or above (greater than) capacity is described by the inequality 1,75000+7,500y≥3,25000.