3. ¿Cuál es el peso de un (dm) de agua?

Answer: C

Step-by-step explanation:

A. True.

In a two-column proof, the left column consists of statements, which are the facts or assumptions that lead to the proof of the theorem, while the right column consists of the reasons or justifications that explain how each statement logically follows from the previous one. Therefore, the left column states your reasons is a true statement.

The answer to the student's question is True. In a two-column proof, the left column contains the statements (steps) and the right column contains the corresponding reasons (justifications).

The answer to the question, 'True or false? In a two-column proof, the left column states your reasons', is A. True.

A two-column proof is organized into two columns. The left column contains the 'Statements' and the right column contains the corresponding 'Reasons'. The 'Statements' are the steps that lead to the conclusion of the proof, while the 'Reasons' justify each of those steps according to rules or laws of mathematics.

For example, if we want to prove that the opposite angles of a parallelogram are equal. The left column (Statements) could contain the first step 'ABCD is a parallelogram' and the right column (Reasons) would give the explanation 'Given'. Therefore, in a two-column proof, the left column does represent statements, not reasons.

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Answer:

3x-15=6

Step-by-step explanation:

x ki power 3 is the answer

Step-by-step explanation:

use x is equal to root over x

\(f(a)=\boxed{5a^{2}+2}\\\\f(a+h)=5(a+h)^{2}+2=5(a^{2}+2ah+h^{2})+2=\boxed{5a^2 + 10ah+5h^2 +2}\\\\f(a+h)-f(a)=(5a^2 + 10ah+5h^2 +2)-(5a^2 +2)=\boxed{10ah+5h^2}\)

Answer:

The three numbers are 1, 2, and 4.

Step-by-step explanation:

\(x+y+z=7\\3x+1=z\\z+x=5\)

From these equations, we get:

\(x=1\\y=2\\z=4\)

Which fits all the equations we have written.

Answer:

Percentage Calculator: 18 is what percent of 53? = 33.96.

Step-by-step explanation:

that is your answer

The profit function for a furniture company introducing a new line of lounge chairs is P(x) =\(-8.32x^2 + 1,248x - 36,400\), where x represents the number of chairs to be manufactured and sold.

The problem provides the revenue function and cost function for a furniture company introducing a new line of lounge chairs. To find the profit function, we need to subtract the cost function from the revenue function.

The revenue function R(x) is given as 1,248x - \(8.32x^2\), where x represents the number of chairs manufactured and sold. This function calculates the total revenue obtained by the company by multiplying the number of chairs sold (x) by the price of each chair (1,248 - 8.32x).

The cost function C(x) is given as 36,400 - 83.2x. This function calculates the total cost incurred by the company to manufacture x chairs, which includes both fixed and variable costs.

To find the profit function for the furniture company, we need to subtract the cost function C(x) from the revenue function R(x):

P(x) = R(x) - C(x) = (1,248x - \(8.32x^2\)) - (36,400 - 83.2x)

Simplifying this expression, we get:

P(x) =\(-8.32x^2\) + 1,248x - 36,400

Therefore, the profit function for the furniture company is P(x) = \(-8.32x^2\) \(+ 1,248x - 36,400\).

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Answer:

cZDcvdcsscscscsczcvrfsfse

Step-by-step explanation:

Answer:

Ali would earn more money if he saves his money in bank A as it offers a higher effective annual interest rate.

Bank A: 9.31%

Bank B: 8.81%

Step-by-step explanation:

The effective annual interest rate is the interest rate that is actually earned or paid on an investment, loan or other financial product due to the result of compounding over a given time period. The formula for calculating the effective annual interest rate is:

(1 + r/n)^n - 1

where r is the nominal interest rate and n is the number of times interest is compounded per year.

For bank A, the nominal interest rate is 9% compounded quarterly. Therefore, the effective annual interest rate would be:

(1 + 0.09/4)^4 - 1 = 9.31%

For bank B, the nominal interest rate is 8.5% compounded monthly. Therefore, the effective annual interest rate would be:

(1 + 0.085/12)^12 - 1 = 8.81%

So, Ali would earn more money if he saves his money in bank A as it offers a higher effective annual interest rate.

The value of x is 3 and angle Q is 39°

A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident.

A circle theorem states that : angles in thesame segment are equal.

With this theorem is means that angle 13x is equal to angle x +36 .

Therefore;

13x = x +36

collecting like terms

13x -x = 36

12x = 36

divide both sides by 12

x = 36/12

x = 3

therefore the value of angle Q = 13 × 3

= 39°

Therefore the value of angle Q is 39°

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Answer:(0,8), (1,10), (-3,9)

Step-by-step explanation:

Answer:

(2,5)

Step-by-step explanation:

just took the test

Answer:

Hi

Please mark brainliest ❣️

Now the quilt measures 1.5 inches by 3inches. This means that the length of the quilt is 3 inches and the breadth is 1.5 inches, considering the quilt to be a rectangle. They are asking us the length of the quilt she will need measured in "feet" and not in inches.

Since she needs 20 pieces, the length required is 3 inches x 20 = 60 inches.

converting 60 inches to feet becomes 60/12 = 5 feet. Because 12 inches make 1 feet. Therefore, the answer is 60/12 = 5 feet.

The equation of the perpendicular line is y = -1/3x

From the question, we have the following parameters that can be used in our computation:

y = 3x + 2

The equation of a line can be represented as

y = mx + c

Where

Slope = m

By comparing the equations, we have the following

m = 3

This means that the slope is 2

The slopes of perpendicular lines are opposite reciprocals

This means that the slope of the other line is -1/3

The equation of the line is then calculated as

y = mx

Where

m = -1/3

So, we have

y = -1/3x

Hence, the line has an equation of y = -1/3x

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Then 1 - 3/5 = 2/5. This means that 2/5 of the frogs in that particular part of the rainforest are not poisonous. This fraction can also be expressed as 40/100 or 0.4 in decimal form.

In the given scenario, we know that 3/5 of the frogs in a particular part of the rainforest are poisonous. This means that the remaining fraction of the frogs are not poisonous.

To find this fraction, we need to subtract 3/5 from 1 (since the sum of the fractions of poisonous and non-poisonous frogs is equal to 1).

It's important to note that just because a frog is not poisonous, it doesn't mean it's safe to touch or handle them. It's always best to admire these beautiful creatures from a safe distance and leave them alone in their natural habitat.

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Answer:

\(y = \frac{4}{5} x -9.8\)

Step-by-step explanation:

I hope this is what you were looking for.

Answer:

y=4/5x-9.8

Step-by-step explanation:

For this you would need to use point-slope form which is: y-y1=m(x-x1)

All you have to do is put in -5 for y1, 6 for x1, and 4/5 for m.

So, the equation should then be y+5=4/5(x-6)

Then, start by solving the right side of the equation by distributing 4/5 into (x-6)

This will then leave you with the equation, y+5=4/5x-24/5

Next, you have to subtract both sides by 5.

Once done, your final answer should be y=4/5x-9.8

The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.

In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.

The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.

To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.

Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.

As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.

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(2, −6.5), from the graph, point out the coordinates where both lines intersect each other. That is the solution for both the lines. Here the lines cut at x : 2 and y : -6.5. Therefore (2, −6.5) is the best estimate for the solution to the system.

Check the intersection point where both lines meet at.

So the co-ordinates are

1. Triangle A

The length of the hypothenuse of triangle A is missing. To find this length you have to apply the Pythagorean Theorem, which states that the square of the hypothenuse is equal to the sum of the lengths of the legs of the triangle:

Where

a and b represent the lengths of the legs of the triangle.

c represents the length of the hypothenuse

For triangle A, you know the length of both legs, a= 4 units and b= 3 units, replace these values in the expression above to find the length of the hypothenuse:

-Solve the squares:

-Simplify:

-Apply the square roots to both sides:

The length of the hypothenuse is 5 units.

Data: John's current pay is $78,000. Annual salary increase rate: 5% Maximum 401k contribution: 15% of pre-tax gross yearly salary Every year, John intends to pay 10% of his current earnings to his 401k.

Annual compounded return on 401k investments is expected to be 8%.

$10,000 wedding money target in 12 months

Short-term CD interest rate: 2%

Goal for house down payment: $40,000 in 5 years

Annual expected return on housing fund investments: 4%

At the age of 60, your 401k balance is $1,000,000.

85 years is the average life expectancy.

0.5% (6%/12) monthly rate of return on retirement investments

To figure out John's 401k balance at age 60, do the following:

Compute John's annual contribution to his 401k: $78,000 x 10% = $7,800

Employ the financial calculator's future value (FV) function:

N (number) = 30  (number of years until retirement)

I/Y = 8% (annual rate of return)

PMT = -$7,800 (negative because it’s a cash outflow)

PV = 0 (no initial balance)

FV = $?

FV = $1,057,323.95

Therefore, John would have saved approximately $1,057,323.95 at age 60.

a) To achieve an age 60 balance of one million dollars:

Use the present value (PV) function on the financial calculator:

N = 30 (number of years until retirement)

I/Y = 8% (annual rate of return)

PMT = -$? (negative because it’s a cash outflow)

PV = 0 (no initial balance)

FV = $1,000,000

PMT = -$9,308.79

Therefore, John would have to save approximately $9,308.79 every year to achieve an age 60 balance of one million dollars.

b) To find the percentage of his current salary that the annual savings amount represents: Divide the annual savings amount by John’s current salary: $9,308.79 / $78,000 = 0.1194

Multiply by 100 to get the percentage: 0.1194 x 100 = 11.94%

Therefore, the annual savings amount represents approximately 11.94% of John’s current salary.

To calculate how much John will have to contribute to the wedding fund every month for the next 12 months:

Use the present value (PV) function on the financial calculator:

N = 12 (number of monthly deposits)

I/Y = 2%/12 = 0.1667% (monthly rate of return)

PMT = -$? (negative because it’s a cash outflow)

PV = 0 (no initial balance)

FV = $10,000

PMT = -$821.47 As a result, John will have to contribute $821.47 to the wedding fund each month for the following 12 months.

To determine how much John must save each month for the next 60 months in order to acquire $40,000:

Employ the financial calculator's future value (FV) function:

N = 60 (number of months) (number of months)

I/Y = 4%/12 = 0.3333% (monthly interest rate)

PMT = -$? (negative since it represents a monetary outflow)

PV = 0 (no starting balance) (no initial balance)

FV = $40,000

PMT = -$603.94

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The volume of each pyramid is exactly √3/6 cubic feet.

To find the volume of each pyramid, we need to first find the volume of the cube and then divide it by three. So, the volume of each pyramid is:

V = (1/3) Bh

We know that the base of each pyramid is a square with side length s, where s is half of the length of a side of the cube. So, s = 1 foot. Therefore, the area of the base of each pyramid is B = s² = 1² = 1 square foot.

To find the height of each pyramid, we need to use the Pythagorean theorem. Let's call this distance d. Then, using the Pythagorean theorem, we have:

d² + (1/2)² = s²

d² + 1/4 = 1

d² = 3/4

d = √(3)/2

Now that we know the height of each pyramid, we can calculate its volume:

V = (1/3) Bh = (1/3)(1)(√(3)/2) = √(3)/6 cubic feet

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Answer:

5.9573

Step-by-step explanation:

Answer:

59573770196 -- that is the answer

Step-by-step explanation:

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The graph that represents the function y= tanx is Option A.

The graph of y =tan (x) is a periodic function that has vertical asymptotes at x = (n + 1/2)π, where n is an integer.

It oscillates between positive and   negative infinity, creating a wave-  like pattern.

It has a repeating pattern of sharp peaks and valleys, exhibiting both positive and negative slopes.

Thus, option A is the correct answer.

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For given function function f(x)=-x+3-2, the domain is x > -3 and the range is y ≤ 2. So, correct option is D.

The function f(x)=-x+3-2 is a linear function in the form y=mx+b, where m is the slope and b is the y-intercept. In this case, the slope is -1 and the y-intercept is 1. Therefore, the graph of the function is a straight line that intersects the y-axis at (0,1) and has a slope of -1, meaning that it decreases by 1 for every 1 unit increase in x.

The domain of the function is the set of all possible values of x for which the function is defined. Since there are no restrictions on the value of x in the equation f(x)=-x+3-2, the domain is all real numbers, or (-∞, ∞).

The range of the function is the set of all possible values of y that the function can output. In this case, the lowest possible value of y occurs when x approaches positive infinity, and the highest possible value of y occurs when x approaches negative infinity. Therefore, the range is all real numbers less than or equal to 2, or y ≤ 2.

So, the domain is x ∈ (-∞, ∞) and the range is y ≤ 2. Alternatively, the domain can also be expressed as x > -3, since that is the minimum value of x at which the function is defined.

Correct option is D.

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Complete question is:

What are the domain and range of the function f(x)=-x+3-2?

A) domain: -3 -2

B) domain: -3 -3 range: y<-2

C) domain: x>-3 range:y>-2

D) domain : x>-3 range: y ≤ 2

Answer:

A

Step-by-step explanation:

4.22

Answer:

Step-by-step explanation:

The text is a statistics problem that asks to find the probability of a certain range of values in a normal distribution. A normal distribution is a bell-shaped curve that shows how data values are spread around the mean. The mean is the average of all the data values, and the standard deviation is a measure of how much the data values vary from the mean. To solve this problem, we can use the following steps:

Convert the given range of values to standard scores or z-scores. A z-score tells us how many standard deviations a value is away from the mean. To find the z-score, we use the formula: z=σx−μ​

where x is the value, μ is the mean, and σ is the standard deviation. For example, to find the z-score for 33.5 psi, we plug in the values: z=233.5−35​=−0.75

This means that 33.5 psi is 0.75 standard deviations below the mean. Similarly, to find the z-score for 36 psi, we plug in the values: z=236−35​=0.5

This means that 36 psi is 0.5 standard deviations above the mean.

Use a z-table to find the area under the curve for each z-score. A z-table is a table that shows the probability of getting a z-score less than or equal to a given value. For example, to find the area under the curve for -0.75, we look up the row for -0.7 and the column for 0.05 in the z-table and get 0.2266. This means that there is a 22.66% chance of getting a z-score less than or equal to -0.75. Similarly, to find the area under the curve for 0.5, we look up the row for 0.5 and the column for 0 in the z-table and get 0.6915. This means that there is a 69.15% chance of getting a z-score less than or equal to 0.5.

Subtract the smaller area from the larger area to find the area between the two z-scores. This area represents the probability of getting a value between 33.5 and 36 psi in the normal distribution. For example, to find the area between -0.75 and 0.5, we subtract: 0.6915−0.2266=0.4649

This means that there is a 46.49% chance of getting a value between 33.5 and 36 psi in the normal distribution.

Multiply the area by 100 to convert it to a percentage and write it with the appropriate units: The percentage of tires that are inflated to a pressure between 33.5 and 36 psi is 0.4649×100=46.49%

The square root of 9 by long division method will give an answer of 3.

1: Group the digits of 9 into pairs from right to left. Since 9 is a single-digit number, we can consider it as a pair by itself.

2: Find the largest number whose square is less than or equal to the leftmost pair. In this case, the largest number whose square is less than or equal to 9 is 3.

3: Write 3 as the divisor on the left, and the quotient on the top right.

3 √ 9 |  0

4: Multiply the divisor (3) by the quotient (3), and write the result under the 9.

3 √ 9 |  0

      - 9

5: Subtract the result (9) from the leftmost pair (9), and write the difference (0) below the line.

3 √ 9 |  0

      - 9

       0

6: Bring down the next pair (0) to the right of the difference.

3 √ 9 |  0

      - 9

       0

     -----

7: Double the quotient (3) and write a blank space to the right.

3 √ 9 |  0

      - 9

       0

     -----

       0

      ?

8: Find a digit to fill in the blank space, such that when the new divisor (37) is multiplied by the digit, the result is less than or equal to the current dividend (0). In this case, the largest digit we can use is 0.

9: Write the digit (0) as the new quotient, and write the product of the new divisor (37) and the new quotient (0) below the line.

3 √ 9 |  0

      - 9

       0

     -----

       0

      0

10: Subtract the product (0) from the current dividend (0), and write the difference (0) below the line.

3 √ 9 |  0

      - 9

       0

     -----

       0

      0

      - 0

11: Since there are no more pairs to bring down, we have reached the end of the division. The square root of 9 is 3.

√9 = 3.

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

Explanation:

Check out the diagrams below. I posted two of them. Start with figure 1.

Notice how I've copied the first two columns and placed them on the right side of the matrix.

After that, I've highlighted the diagonals. The numbers in each diagonal grouping multiply together. I've used color coding to show this.

Once you find all those products, you add up the values. Figure 1 shows a result of 42. This isn't the final answer, but it helps us get there.

Figure 2 is a similar idea, but we're doing the off diagonals instead of the main diagonals. The result here is 15.

The last step is to subtract the results found in figures 1 and 2. We get 42-15 = 27 as the final answer.

You could use co-factor expansion as an alternative method. For me, I prefer this method of multiplying diagonals. Unfortunately the method only works for 3x3 matrices.