Sergio wants to write equations in the form y = mx + b for the lines passing through point P that are parallel and perpendicular to line h. First he finds the slopes of these 2 lines. What could he do next to find the y-intercepts?

Answer: 2/90 = 1/45

Step-by-step explanation:

By using the given information, the required parameters and key features include the following:

Equation: y = 10x + 12.

Slope: 10.

Y-intercept: 12.

Mathematically, the slope-intercept form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

Based on the information provided above, we can logically deduce that an equation that models the situation is given by:

y = mx + c

y = 10x + 12

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The value that would have the most dots on a line plot is given as follows:

4.25.

The dot plot gives a dot to each measure for each time that it appears, hence it says the same thing as a table, in a different format.

A line plot is built from the dot plot, in which:

Hence the value 4.25 is the value in this problem that would have the most dots in a line plot, as it is the value that appears the most times in the data-set (only value to appear three times).

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Answer:A

Step-by-step explanation:

To find the rate of decay, we need to use the formula A(t) = P(0.82)^t, where A(t) is the amount after t years, P is the initial amount, and 0.82 is the decay factor.

The decay factor is equal to 1 minus the decay rate, so we can solve for the decay rate as follows:

0.82 = 1 - r

r = 1 - 0.82

r = 0.18

Therefore, the rate of decay is 18%, which corresponds to answer choice A.

Answer:

A

Step-by-step explanation:

A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  =  $272,090

      A) - Calculate the Percentage of the Value Remaining After the Decrease

       B) - Calculate the NEW VALUE of the house

A) - The PERCENTAGE of the VALUE REMAINING AFTER the DECREASE

      100%  -  9%  =  91%

        0.91

B) - Calculate the NEW VALUE of the house:

NEW VALUE  =  OLD VALUE  *  REMAINING PERCENTAGE

NEW VALUE  =  299,000  *  0.91

A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  = $272,090

I hope it helps!

Answer:

Graph.

y=x+6y=x+17

Step-by-step explanation:

To factor the expression 4x^2 - 25, we can use the difference of squares formula, which states that a^2 - b^2 can be factored as (a + b)(a - b).

In this case, we have 4x^2 - 25, which can be written as (2x)^2 - 5^2. Comparing it with the difference of squares formula, we can identify that a = 2x and b = 5. Therefore, the correct option is:

b. (2x)^2 - (5)^2

Using the difference of squares formula, we can factor it as follows:

(2x + 5)(2x - 5)

Hence, the correct factorization of 4x^2 - 25 is (2x + 5)(2x - 5), which is equivalent to option b.

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Navern's manufacturing cycle efficiency (MCE) for its elevators is: 41.4%

The formula for obtaining the manufacturing cycle efficiency is value-added time divided by the production cycle time * 100. In the data given, the process and inspection times qualify as a value-added time

Process time = 23 days

Inspection time = 13 days

Value added time = 23 + 13 = 36days

The production cycle time = Move time + process time + queue time + inspection time + wait time

= 22 + 12 + 23 + 13 + 17 days

= 87 days

So, the manufacturing efficiency time = 36/87 * 100

= 41.4%

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The positions will be filled in 56,280 ways

There are 11 qualified candidates applying for 7 positions. The order of the positions does not matter. after choosing a position the number of persons drop so we solve as follows

For the position of president

11 combination 1 = 11

For the position of secretary

10 combination 1 = 10

For the position of treasurer

10 combination 1 = 10

For the position of three directors

8 combination 3 = 56 ways

the total number of ways to fill these positions is

11 x 10 x 9 x 56 = 56,280.

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Answer:

64 ways

Step-by-step explanation:

Let n = 8

The number of ways a person can take one stair = n^P1 = 8^P1

The number of ways a person can take two stairs = n^P2 = 8^P2

∴ The number of ways the person who can take one stair or two stairs at a time = 8^P1 + 8^P2 = 8 + 56 = 64 ways

The interest is 16% compounded semi-annually, is Rs. 121,179.10.

To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.

Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)

So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:

Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.

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The total cost of downloading 20 songs is $45.

The total cost of downloading ss songs is $11 + $1.0ss.

What does the word "cost" mean?

During the manufacturing or production of a company's goods and services, every expense incurred by the company is referred to as a cost.

                            In simplest terms, it is the amount of money that businesses invest in buying and selling goods.

The total cost of the of downloading songs is the sum of the fee per month and the cost of downloading songs.

Total cost of downloading 45 songs = cost per month x cost of downloading 45 songs

$11 + ($1 x 45)

$11 + $45

$56

Total cost of downloading ss songs = $11 + ($1 x ss)

$11 + $1ss

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Answer:

It will ALWAYS be true!

Step-by-step explanation:

Inputting any real or imaginary numbers such as i or e, (which are also known as complex numbers), and when put in the place of x will ALWAYS equal one another. You could put 1, 2, 3, etc. all the way up to infinity and still get the two equations equal to each other.

Hope this helped!

The relationship between the depth(d), the base area (b) and volume (V) is d = 2400/b

An equation is an expression that shows the relationship between two or more numbers and variables.

Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.

Let d represent the depth of the tank, b represent the area of the base and V represent the volume.

The depth of water is inversely proportional to the area of its base at constant volume. Hence

d = V/b

When b = 200 ft² and d = 12:

12 = V/200

V = 2400

d = 2400/b

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The approximate height of the tree is given as follows:

45.6 ft.

The geometric mean theorem states that the length of the altitude drawn from the right angle of a triangle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.

The altitude segment for this problem is given as follows:

14.5 ft.

The bases are given as follows:

5.2 ft and x ft.

Hence the value of x is given as follows:

5.2x = 14.5²

x = 14.5²/5.2

x = 40.4 ft.

Hence the height of the three is given as follows:

5.2 + 40.4 = 45.6 ft.

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Answer:

Sry I need points lol

Step-by-step explanation:

Answer:

19.048%

Step-by-step explanation:

The formula for the increase in cost will be :

[(New cost - Original Cost)÷Original Cost] × 100

So let's substitute values in from the question :

[(50-42)÷42] × 100

[8÷42] × 100

0.19048 × 100

19.048%

Hope this helped and have a good day

Answer:

Step-by-step explanation:

To solve for f, we can cross-multiply the equation:

f/40 = 10/f

Multiplying both sides by 40f gives:

f^2 = 400

Taking the square root of both sides yields:

f = ±20

Therefore, the solutions for f are f = 20 and f = -20. However, since f represents a physical quantity (presumably a frequency), we take only the positive value:

f = 20

On solving the provided question, we can say that -  here in graph we have on solving equation  \(2x^2+ 9y^2 \\\) = \(8 + 9 = 17\)

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

here,

from graph, x= 2

y = 1

\(2x^2+ 9y^2 \\\)

\(8 + 9 = 17\)

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The equation C(t) = 2 tells us that at a moment of t, the numeric value of the variable C is of 2 units.

The general format of an ordered pair is given as follows:

(x,y).

The meaning of an ordered pair (x,y) is that y = f(x), meaning that the numeric value of the function at the value of x is of y.

The ordered pair for this problem is given as follows:

(t, C(t)) = (t,2).

Meaning that at a moment of t, the numeric value of the variable C is of 2 units.

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Answer:

cosθ = 4/5

Step-by-step explanation:

The value of Cosθ is 4/5.

Pythagorean identities are identities in trigonometry that are extensions of the Pythagorean theorem.

Given that, the Pythagorean Identity states that: (sin x)² + (cos x)² = 1,

Sinθ = 3/5

We need to find Cosθ,

Put in the identity =

(3/5)² + (cos θ)² = 1

(cos θ)² = 1 - 9/25

(cos θ)² = 25-9 / 25

(cos θ)² = 16/25

cos θ = 4/5

Hence, the value of Cosθ is 4/5.

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Answer:

750

Step-by-step explanation:

150 x 5 = 750 and counts for Mon Tus Wes Thu Fri

Answer:

11.47 in cubic centimeters

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(1c-0.25c=0.75c\)

Answer:

Step-by-step explanation:

$2.12 - $1.65 = $0.47
$0.47 x 65 = $30.55 profit.

This is an exercise in the formula to calculate the profits obtained from the sale of a product, it is an essential tool in the management of any business. By knowing the profits obtained from the sale of a product, business owners and managers can make informed decisions and adjust their business strategies to maximize their profitability.

Profit is calculated by subtracting the total costs of production from the total revenue earned from the sale of a product. Total production costs include not only the direct costs associated with manufacturing the product, but also indirect costs, such as advertising and marketing costs, the cost of packaging materials, and other overhead.

The total income obtained from the sale of a product is the product of the number of units sold by the sale price per unit. It is important to remember that the selling price per unit must be sufficient to cover both the direct and indirect costs of production, and to provide a reasonable profit.

Once the profit earned from the sale of a product has been calculated, business owners and managers can use this information to improve their profitability. If profits are low, they might consider lowering production costs, raising the selling price, or finding ways to sell more units. On the other hand, if profits are high, they might consider increasing their investment in advertising and marketing to attract more customers and expand their business.

In addition, profit calculation can also help business owners and managers assess the feasibility of launching a new product or expanding into new markets. By calculating total production costs and potential total revenue, they can determine if the new product or market is profitable and make informed decisions about whether to proceed with the launch or expansion.

The total cost of making the handles is the product of the number of handles times the cost per unit:

Total cost = 65 potholders × $1.65/potholder = $107.25

The total revenue from selling the handles is the product of the number of handles times the selling price per unit:

Total revenue = 65 potholders x $2.12/potholder = $137.8

Elmo's profit is the difference between total revenue and total cost:

Profit = Total Revenue - Total Cost

Profit = $137.8 - $107.25 = $30.55

Profit = $30.55

Telling Marvin the number 18 should get us into the museum.

Division is a mathematical operation that involves splitting a quantity into equal parts or groups. It is the inverse of multiplication, and is used to find out how many times one number is contained within another number.

To get into Marvin's Magic Museum, we need to figure out which number Marvin likes based on the given information.

Marvin likes the number 14, but not 15. This suggests that he likes even numbers, since 14 is even and 15 is odd.

Marvin likes the number 21, but not 26. This suggests that he likes numbers that are divisible by 3, since 21 is divisible by 3 and 26 is not.

Marvin likes the number 35, but not 39. This suggests that he likes numbers that are not divisible by 4, since 35 is not divisible by 4 and 39 is.

Putting these clues together, we can see that the number Marvin likes must be even, divisible by 3, and not divisible by 4. The only number in the list that meets these criteria is 18, since it is even, divisible by 3 (6 times), and not divisible by 4.

Therefore, telling Marvin the number 18 should get us into the museum.

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