I need my smart homies to answer this question for me !


Given the equation,


x² - 24x + 135 = 0


Part A: Choose a method . (don't say quadratic formula)


Part B: In complete sentences, explain step by step how to solve using the method you chose.


Part C: What is the solution set?

F[g(x-1)] has a value of 2x2-4x+9. Applying the multiplication operation to functions and replacing the functions led to the discovery of the answer.

The functions can be added, subtracted, multiplied, or divided in the same manner that we add, subtract, multiply, and divide the terms in a function.

Consider f(x) and g, two functions (x). These are the notations:

To add, use the formula (f+g)(x) = f(x) + g(x)

for subtraction (f-g)(x) = f(x) - g(x)

To multiply, use the formula (fg)(x) = f(x)* g(x)

The division formula is (f/g)(x) = (f(x))/(g(x)).

A function that considers one function to be a component of another function is created when we replace one function for another.

So now, f(g) = 2g-3.

When provided, g = x^2+5

So, g(x-1) = (x-1)^2+5

By changing g's value (x-1)

F[g(x-1)] has a value of 2x²-4x+9. Applying the multiplication operation to functions and replacing the functions led to the discovery of the answer.

F[g(x-1)] has a value of 2x²-4x+9. Applying the multiplication operation to functions and replacing the functions led to the discovery of the answer

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Answer:

261.81818181

Step-by-step explanation:

400÷275=x

x×180

Answer:

If 275 gallon of oil tank costs $400 to fill.

Then 180 gallon of oil tank costs $261.8 to fill.

Step-by-step explanation:

Step 1 of 2

If 275  gallon of oil tank costs $400  to fill.

Then the cost to fill 180  gallon of oil tank can be found by forming a proportion.

Let the required cost be x.

\($$\begin{aligned}\frac{\text { cost }}{\text { Gallons of Gas }} &=\frac{\text { cost }}{\text { Gallons of Gas }} \\\frac{\$ 400}{275} &=\frac{x}{180}\end{aligned}\)

Multiplying both sides by 180 we get,

\($$\begin{aligned}\frac{\$ 400}{275} \times 180 &=\frac{x}{180} \times 180 \\x &=\frac{\$ 400}{55} \times 36 \\x &=\$ 261.8\end{aligned}$$\)

Step 2 of 2

To check if the answer is reasonable, we substitute it back in the formed proportion

\($\frac{\$ 400}{275}=\frac{x}{180}$$\)

We found x=$261.8 hence,

\($\frac{\$ 400}{275}=\frac{\$ 261.8}{180}$$$\$ 1.45=\$ 1.45$$Here, $L H S=R H S$\)

Hence, our answer is correct.

The riddle mentioned in the question is about a farmer who is traveling along with a sack of rye, a goose, and a mischievous dog.

He comes to a river that he must cross from east to west, and there is a boat available to do so.  Therefore, the farmer takes the goose back to the east side and leaves it there. He then takes the sack of rye across the river, drops it off with the dog, and goes back to the east side to pick up the goose. In this manner, all of the farmer's possessions can be safely transported across the river without any of them being lost to the dog or the goose.This riddle is a classic example of a type of logical puzzle known as a "transport problem."

The goal of a transport problem is to determine how to transport one or more objects from one location to another while satisfying certain constraints, such as the size of the transport vehicle or the safety of the objects being transported.

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Answer:

The surface area of the triangular prism is 142.919 m^2.

Step-by-step explanation:

Answer:

Option D is the right option.

solution,

\( \frac{ac}{bc} = \frac{bc}{dc} \\ or \: \frac{18}{ m} = \frac{m}{7} \\ or \: m \times \: m = 18 \times 7(cross \: multiplication) \\ or \: {m}^{2} = 126 \\ m = \sqrt{126} \)

Hope this helps..

Good luck on your assignment.

Hope

The point on the curve where the tangent line is parallel to the plane is (cos t0, sin t0, e^t0), where t0 is the solution of the equation et0/√3 = -2 sin t0.

To find t0, we need to take the derivative of r(t) with respect to t, which gives us the tangent vector: T(t) = (-2 sin t, 2 cos t, e^t).

Next, we need to find a vector normal to the given plane. We can do this by taking the coefficients of x, y, and z in the equation of the plane: N = (√3, 1, 0).

Since the tangent line is parallel to the plane, the dot product of the tangent vector and the normal vector should be zero: T(t0) · N = 0.

Substituting the components of T(t0) and N, we get:

-2sin(t0)√3 + 2cos(t0) + 0 = 0

Simplifying and rearranging, we get:

tan(t0) = 1/√3

Solving for t0 in the given range 0 ≤ t ≤ π, we get:

t0 = π/6

Substituting t0 into the equation of the curve, we get:

r(t0) = (2cos(π/6), 2sin(π/6), e^(π/6)) = (√3, 1, e^(π/6))

Therefore, the point on the curve where the tangent line is parallel to the plane √3x + y = 1 is (√3, 1, e^(π/6)).

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Answer:

-1.4

Step-by-step explanation:

In this exercise, you’ll create a form that accepts one or more scores from the user. Each time a score is added, the score total, score count, and average score are calculated and displayed.

In order to achieve this, you will need to utilize HTML and JavaScript. First, create an HTML form that contains a text input field for the user to input a score and a button to add the score to a list. Then, create a JavaScript function that is triggered when the button is clicked.

To update these values, you will need to loop through the array of scores and calculate the total and count, and then divide the total by the count to get the average.

Finally, the function should display the updated values to the user. You can use HTML elements such as `` or `

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When receiving ammunition, unit personnel perform three tasks: ensuring items requested match item numbers on DA Form 3151-R, loading and securing the ammunition, and placarding the vehicle.

The first task performed by unit personnel when receiving ammunition is to ensure that the items requested match the item numbers on DA Form 3151-R. This form serves as a record of the types and quantities of ammunition being received. By comparing the requested items with the item numbers on the form, personnel ensure accuracy and prevent any discrepancies or errors in the delivery.

The second task involves the loading and securing of the ammunition. Unit personnel are responsible for safely and efficiently loading the ammunition onto the designated vehicle or storage area. This includes following proper handling procedures, using appropriate equipment, and adhering to safety protocols. The ammunition must be securely stored and arranged to prevent shifting or damage during transportation.

The final task is to placard the vehicle. Placarding involves visibly displaying the necessary warning signs or labels on the vehicle that indicate the presence of ammunition. This step is crucial for safety and compliance purposes, as it alerts other personnel and drivers to exercise caution when approaching or handling the vehicle. Clear and prominent placarding helps prevent accidents and ensures that everyone involved is aware of the potential hazards associated with transporting ammunition.

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SOLUTION:

Step 1:

In this question, we are given the following:

Why don’t the properties of parallelograms applied to trapezoids?

Step 2:

The details of the solution are as follows:

A parallelogram cannot be a trapezium as a parallelogram has one pair of opposite sides parallel and equal to each other, while a trapezium has only one pair of opposite sides parallel to each other, not equal.

A trapezium is not a parallelogram because a parallelogram has 2 pairs of parallel sides. But a trapezium only has 1 pair of parallel sides.

=============================================

Explanation:

x = original price

If she saves 20%, then she still pays the remaining 80% which then converts to the decimal form 0.80

The expression 0.80x represents the new price, or sale price, of the dress. We're told this price is $180

Equate the two expressions and solve for x

0.80x = 180

x = 180/0.80

x = 225

The original price is $225

------------------------

Checking the answer:

20% of 225 = 0.20*225 = 45

She saves $45

225 - 45 = 180

This confirms the answer.

Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.

To calculate the future value of a three-year uneven cash flow given below, using an 11% discount rate, we need to use the formula;

Future value of uneven cash flow = cash flow at year 1/(1+discount rate)¹ + cash flow at year 2/(1+discount rate)² + cash flow at year 3/(1+discount rate)³ + cash flow at year 4/(1+discount rate)⁴

Given the cash flows;

Year 0: $0

Year 1: $600

Year 2: $500

Year 3: $400

Then the Future value of uneven cash flow

= $600/(1+0.11)¹ + $500/(1+0.11)² + $400/(1+0.11)³

= $600/1.11 + $500/1.23 + $400/1.36

=$540.54 + $405.28 + $293.00

=$1,238.82

Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.

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The population that is most dense is the one for  5000 individuals per 200 square meters

Given the following information:

100 individuals per 100m^2

5000 individuals per200m^2

100,000 individuals per 20,000m^2

15,000 individuals per 10,000m^2

We find the population that is most dense using the formula:

Population density=(No. of people/Land area)

For 100 individuals per 100m^2,

Population density=100/100=1

For 5000 individuals per200m^2

Population density=5000/200=25

For 100,000 individuals per 20,000m^2

Population density=100,000/20,000=5

For 15,000 individuals per 10,000m^2

Population density=15,000/10,000=1.5

Hence, highest population density is 25 for 5000 individuals per200m^2  

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Answer:

39% of 80 = 39.2

74% of 240 = 177.6

91% of 82 = 74.62

66% of 160 = 105.6

9% of 71 = 63.9

126% of 80 = 100.8

234% of 145 = 339.3

97.9% of 39 = 38.181

52% of 57.9 = 30.108

33% of 15.3 = 5.049

Step-by-step explanation:

In order to find the percentage of each equation, we will use the first one as an example. We take the 39%, and convert it to 0.39 and get rid of the %. Then, "of" means multiplication.

So, we have:

0.39 x 80 = 39.2

The equation in slope-intercept form for the line that passes from the points (-7,2) and (5,8) is y = (1/2)x -3/2.

We know that, the slope intercept form is given by:-

y = mx + b

Where,

(x,y) is the ordered pair of every point on the line

m is the slope of the line

b is the y-intercept of the line

We know that, slope = (8-2)/(5-(-7)) = 6/12 = 1/2

Putting (-7,2) in (x,y) and m = 1/2 in the slope intercept form, we get,

2 = (1/2)(-7) + b

2 = -7/2 + b

b = -3/2

Hence, the slope intercept form of the line is y = (1/2)x -3/2.

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To make the given statements true, $967.72 should be invested in the account today, with no additional deposits or withdrawals being made.

Compound interest refers to the amount of interest added on the principal amount plus interest. The formula for compound interest is:

B = P(1 + r/n)^t

where B is the ending balance, P is the principal amount or original balance, r is the interest rate in decimal form, n = number of times interest is compounded annually, and t is the time in number of year

Based on the given information, P is the unknown and

B = $2174. 30

t = 18

r = 4. 6% = 0.046

n = 1

Plug in the values and solve for P or the amount that should be invested today.

B = P(1 + r/n)^t

$2174. 30 = P(1 + (0.046/1))^18

$2174. 30 = P(1.046)^18

P = $2174. 30 / (1.046)^18

P = $967.72

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The image occupy 1250 inches².

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

The aspect ratio of screen 4:3 and the screen is 2500 square inches.

so, the width of the screen is = 2500/ 4.3 = 581.40 inches

As, the image displayed has an aspect ratio of 16:9.

The Area of image is

= 581.40 x 9/16

= 1250 inches².

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Answer:

2714.34 in³ (nearest hundredth)

Step-by-step explanation:

A) Cone and hemisphere

B) volume of a cone = \(\dfrac13\pi r^2h\)

volume of a hemisphere = \(\dfrac23\pi r^3\)

(where r is the radius and h is the height)

C)

\(\implies \textsf{volume of cone}=\dfrac13\pi \times 9^2\times 14=378 \pi\)

\(\implies \textsf{volume of hemisphere}=\dfrac23\pi \times 9^3=486 \pi\)

\(\implies \textsf{total volume}=378 \pi+486 \pi=864\pi =2714.34 \textsf{ in}^3 \textsf{ (nearest hundredth)}\)

Answer:

one, x = 7

Step-by-step explanation:

7(x - 2) + 5 = 3 (2x - 1) + 1

reduce:

7x - 14 + 5 = 6x - 3 + 1

x = 7

The actual measurement of that side of the courtyard = 165 inches

In this question, we have been given Andre drew a plan of a courtyard at a scale of 1 to 60. in his drawing, one side of the courtyard is 2.75 inches.

We need to find the actual measurement of that side of the courtyard.

In order to calculate the real length,

real length = scale length / scale ratio

here, scale length = 2.75 inches

scale ratio = (1/60)

so, the real length would be,

real length = 2.75/ (1/60)

real length = 2.75 * 60

real length = 165 inches

Therefore, the actual measurement of that side of the courtyard = 165 inches

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Answer:

a

Step-by-step explanation:

The product cost per unit under absorption costing is $91.52.
The budgeted materials purchases cost for the first quarter is $710,500.
The expected total sales dollars for September's sales budget are $105,000.
The expected January 31 Accounts Payable balance is $7,645.

To calculate the product cost per unit under absorption costing, sum up the direct labor, direct materials, variable overhead, and fixed overhead per unit. In this case, it is $39 + $40 + $10 + ($110,920 / 44,000 units) = $91.52.
To calculate the budgeted materials purchases cost for the first quarter, multiply the total material needs for the quarter by the cost per kg of raw material. In this case, it is (53,000 pairs * 2 kg/pair) * $7 = $742,000.
To calculate the expected total sales dollars for September's sales budget, multiply the August sales by the growth rate and the selling price per unit. In this case, it is 4,000 units * 1.05 * $25 = $105,000.
To calculate the expected January 31 Accounts Payable balance, sum up the December Accounts Payable balance, purchases in January, and 50% of purchases in February. In this case, it is $7,900 + $13,180 + ($15,290 / 2) = $7,645.
Therefore, the product cost per unit under absorption costing is $91.52, the budgeted materials purchases cost for the first quarter is $710,500, the expected total sales dollars for September sales budget are $105,000, and the expected January 31 Accounts Payable balance is $7,645.

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Answer:

-9, 15

Step-by-step explanation: