find four consecutive integers with the sum of 54

Answer:

2. A

3. C

4. B

Step-by-step explanation:

2. To answer # 2, just add all the sides together...

(5x-7) + (3x-4) + (2x-6)

=  10x - 17

3. To answer # 3, divide/mulitply both the numerators and denominators by the same number and check to see if that answer matches the displayed answer...

a) 28 divided by 7 is 4,  so divide the whole fraction by 7 to see if the fraction is proportional...  

  28/7 = 4

  49/7 = 7

   \(\frac{4}{7} =\frac{4}{7}\)

b) 4 goes into 16  4 times so multiply \(\frac{4}{7}\) by 4...

   4 x 4 = 16

   7 x 4 = 28

   \(\frac{16}{28}\) =  \(\frac{16}{28}\)

c) 4 goes into 16 4 times so multiply the whole fraction by 4...

   4 x 4 = 16

   7 x 4 = 28

   \(\frac{16}{28}\) ≠ \(\frac{16}{35}\)

d) 4 goes into 20 5 times to multiply the whole fraction by 5...

   4 x 5 = 20

   7 x 5 = 35

   \(\frac{20}{35} = \frac{20}{35}\)

C is the answer because the fractions are not proportional.

4) 25% is a quarter of 100%. A third of 100% is 75%.

   $120 - 0.25($120) = $90

   Another expression for the for sale price is...

   B) 0.75($120) = $90

Answer:

81.4

Step-by-step explanation:

ADD THE 125 KG, 163 KG, AND 119

125 + 163 + 199 = 407

THEN DIVIDE IT TO p5.00

ans is (81.4).

When the curve y = 8√x on [9, 20] is revolved around the x-axis, the area of the surface generated is 120π.

The surface area of revolution can be obtained by integrating 2π(y) √(1+ (dy/dx)²) dx over the given interval. In this case, y = 8√x, and (dy/dx) = 4/√x.

∴ The surface area is given by:

S = ∫209 (2πy √(1+ (dy/dx)²) dx)

= 2π ∫209 y √(1+ (dy/dx)²) dx

= 2π ∫209 8√x √(1+ (4/√x)²) dx

= 16π ∫209 x √(16 + x) dx

= 16π ∫(209)18 (u-16)² du (where u = x + 16)

After simplification,

S = 16π × 2/3 (u-16)×(3/2) |_9×20

= 32π (16×(3/2) - 8×(3/2))

= 120π (approximately)

Hence, the surface area generated is 120π.

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Answer:

Pythagorean theorem: a^2 + b^2 = c^2

c is always the hypotenuse (longest side of the triangle)

Plug the numbers in:

17^2 + ?^2 = 19^2

?^2 = 19^2 - 17^2

?^2 = 361 - 289

?^2 = 72

? = 8.48528137424

The square mil area for a 2 inch wide by 1/4 inch thick copper busbar is 500 square mils.

To find the square mil area for a 2 inch wide by 1/4 inch thick copper busbar, we need to multiply the width and thickness of the busbar in mils.

1 inch = 1000 mils

So, the width of the busbar in mils = 2 inches x 1000 mils/inch = 2000 mils

And, the thickness of the busbar in mils = 1/4 inch x 1000 mils/inch = 250 mils

Therefore, the square mil area of the copper busbar = width x thickness = 2000 mils x 250 mils = 500,000 square mils.

Hence, the square mil area for a 2 inch wide by 1/4 inch thick copper busbar is 500,000 square mils.

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Procedure:

0.

Answer in interval notation: [1, ∞)

2.

Answer in interval notation: [-2, ∞)

Final answer:

Summary:

0. We isolated ,x ,from the inequality by subtracting, multiplying, and dividing different numbers.

1. We translated that inequality to interval notation

Answer:

15 months

Step-by-step explanation:

1 year=12 months

1/4 of 12 months = 3months

12+3=15 months

The graphs which show functions with direct variation include the following:

B. A coordinate plane showing Cost of Cinnamons with Quantity in ounces on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 0.3) and (5, 1.5).

C. A coordinate plane showing Breakfast Cost with Number of Meals on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 1.2) and (5, 6).

E. A coordinate plane showing Euro to U.S Dollar Conversion with Euros on the x-axis and U.S Dollars on the y-axis with a line passing through points at (1, 1.4) and (5, 7).

A graph is a type of chart that's commonly used for the graphical representation of data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

Generally speaking, the graph of any proportional relationship (direct variation) is characterized by a straight line with the points passing through the origin (0, 0) because as the values on the x-axis decreases or increases, the values on the y-axis decreases or increases simultaneously.

In conclusion, the graphs representing direct variation are shown in the image attached below.

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Complete Question:

Which graphs show functions with direct variation? Select three options.

A coordinate plane showing Parking Garage Rates with Time in hours on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2.4) and (5, 4).

A coordinate plane showing Cost of Cinnamons with Quantity in ounces on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 0.3) and (5, 1.5).

A coordinate plane showing Breakfast Cost with Number of Meals on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 1.2) and (5, 6).

A coordinate plane showing Ferry Ride Cost with Number of Persons on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2) and (5, 8).

E. A coordinate plane showing Euro to U.S Dollar Conversion with Euros on the x-axis and U.S Dollars on the y-axis with a line passing through points at (1, 1.4) and (5, 7).

The simplex method is a widely used algorithm for solving linear programming problems, which involve optimizing a linear objective function subject to linear constraints. False.

However, the simplex method does not explicitly require the variables to be nonnegative in order to find a solution.

The simplex method starts with an initial feasible solution and iteratively improves it by moving along the edges of the feasible region, ultimately reaching the optimal solution. During the iterations, the variables can take any real values, including negative values.

That being said, some variations of the simplex method, such as the dual simplex method, have been developed specifically to handle problems with nonnegativity constraints. These variations can be used when variables are required to be nonnegative.

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Step-by-step explanation:

relation 1: x=-6

relation 2:y =-9

Answer:

hope i helped uh.......

Answer:

Spurious

hope this helps! bye

i need points

Step-by-step explanation:

Answer:

c = 4,9

d = 4,6

\( \frac{2}{5} = \frac{6}{x} \\ = > \frac{x}{6} = \frac{5}{2} \\ = > x = \frac{5}{2} \times 6 \\ = > x = 5 \times 3 \\ = > x = 15\)

Answer:

15

If you have any query, feel free to ask.

\(\huge\boxed{\boxed{\sf{Hi\:there!:)}}}\)

To solve proportions, all we have to do is cross-multiply:

\(\large\bold{\frac{2}{5} =\frac{6}{x} }\)

2x=6*5

2x=30

Divide both sides by 2 to isolate x:

x=15

\(\huge\boxed{\boxed{\sf{{Hope\:this\:helps\:you.\:Please\:mark\:Brainliest}}}}\)

\(\large\bold{Good\:luck!:)}\)

\(\huge\mathfrak{LoveLastsAllEternity}\)

Question:

1) Blue triangle points; (-1, 4), (-5, 4), and (-1, 1)

Red triangle points; (-4, -1), (-1, -1). and (-4, -5)

2) Blue triangle points (1, 1), (4, 5), (4, 1)

Red triangle points; (-1, 1), (-1, 4). and (-5, 4)

3) Blue triangle points (0, 1), (4, 4), (4, 1)

Red triangle points; (-4, 1), (-4, 4). and (0, 1)

4) Blue triangle points (-5, 4), (-1, 4), (-1, 1)

Red triangle points; (1, 1), (4, 1). and (4, 5)

5) Blue triangle points (-2, 5), (4, 5), (4, 1)

Red triangle points; (-1, 4), (-5, 4). and (-5, -2)

Answer:

The correctly rotated red triangles are those of (1), (2), and (5)

Step-by-step explanation:

In a 90° counterclockwise rotation, every x and y points of the original triangle are switched while the y is turned negative, as shown in the following equation;

(x, y) to (-y, x)

Therefore, the triangles that undergo a 90° counterclockwise rotation are as follows;

1) Blue triangle points; (-1, 4), (-5, 4), and (-1, 1)

Red triangle points; (-4, -1), (-1, -1). and (-4, -5)

(-1, 4) → (-4, -1)

(-5, 4) → (-4, -5)

(-1, 1) → (-1, -1)

Correctly rotated 90° counterclockwise

2) Blue triangle points (1, 1), (4, 5), (4, 1)

Red triangle points; (-1, 1), (-1, 4). and (-5, 4)

(1, 1) → (-1, 1)

(4, 5) → (-5, 4)

(4, 1) → (-1, 4)

Correctly rotated 90° counterclockwise

3) Blue triangle points (0, 1), (4, 4), (4, 1)

Red triangle points; (-4, 1), (-4, 4). and (0, 1)

(0, 1) → (0, 1) ≠ (-1, 0)

(4, 4) → (-4, 4)

(4, 1) → (-4, 1)

Not correctly rotated 90° counterclockwise

4) Blue triangle points (-5, 4), (-1, 4), (-1, 1)

Red triangle points; (1, 1), (4, 1). and (4, 5)

(-5, 4) → (4, 5) ≠ (-4, -5)

(-1, 4) → (4, 1)

(-1, 1) → (1, 1)

Not correctly rotated 90° counterclockwise

5) Blue triangle points (-2, 5), (4, 5), (4, 1)

Red triangle points; (-1, 4), (-5, 4). and (-5, -2)

(-2, 5) → (-5, -2)

(4, 5) → (-5, 4)

(4, 1) → (-1, 4)

Correctly rotated 90° counterclockwise.

Answer:

1,2,5

Step-by-step explanation:

By using the area of the square There are 1,400 plants per square meter.

To calculate this, we first need to determine the area of the square meter in terms of the row spacing and number of plants per meter. Since the row spacing is 25 cm, or 0.25 meters, we can fit 4 rows per meter (1 meter / 0.25 meters = 4 rows). Therefore, the area of the square meter would be 4 rows x 1 meter = 4 square meters.

Next, we need to determine the total number of plants in this 4 square meter area. Since there are 35 plants per linear meter, there are 35 plants per row. So, the total number of plants in the 4 square meter area would be 35 plants/row x 4 rows = 140 plants.

Finally, to determine the number of plants per square meter, we divide the total number of plants by the area of the square meter:

Therefore, there are 1,400 plants per square meter.

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Jorge is a recent college graduate who is eagerly seeking new job opportunities after completing his degree.

Currently, he is working part-time to cover his expenses, but his true ambition lies in finding a job that aligns with his long-term career plans. In order to achieve this, Jorge has been actively applying to various positions that match his professional aspirations and utilize the knowledge and skills he acquired during his college education.

Jorge's qualifications can be measured by various factors such as his college degree, GPA, relevant coursework, internships, and any additional certifications he may have obtained. These factors contribute to his overall level of qualification, denoted as x.

Mathematically, we can express this as:

C(x) ≥ D(x)

This inequality indicates that Jorge's qualifications need to meet or surpass the demands of the job market for him to be considered a strong candidate for the career opportunities he desires.

In summary, Jorge's current situation involves a pursuit of a fulfilling career that matches his aspirations.

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The number type that is more appropriate for the domain of P, which models the probability of the sum of two 6-sided dice, is a discrete number type.

The sum of two 6-sided dice can take on a finite number of values ranging from 2 (the minimum sum) to 12 (the maximum sum). The domain of P, which represents the probabilities associated with each possible sum, consists of these specific values.

Since the sum of the dice is a discrete random variable, it is best represented by a discrete number type. Discrete numbers are countable and have distinct, separate values. In this case, the domain of P consists of the integers 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12. These values correspond to the possible outcomes of rolling a pair of 6-sided dice.

Using a continuous number type, such as real numbers, would not be appropriate for the domain of P because the probabilities associated with each possible sum are specific and discrete rather than forming a continuous range. Therefore, a discrete number type is more suitable for modeling the domain of P in this scenario.

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The complete question is:

Mia is rolling a pair of 6-sided dice. P(n) models the probability of the event that the sum of the dice is n. Which number type is more appropriate for the domain of P?​

Triangle xyz was translated up 2 and right 3 units, creating triangle cab.

To find out the relationship between the parts of the two triangles must be true:

YZ ≅ AB

A translation is known as a rigid transformation.  This is because it preserves congruence.  Since CAB is created from XYZ, this tells us that:

X corresponds to C; Y corresponds to A; Z corresponds to B; XY corresponds to CA; YZ corresponds to AB; and XZ corresponds to CB.

Since the triangles are congruent, the corresponding pieces are congruent as well.

Out of these corresponding congruent pieces of triangles, the only one in our options is YZ ≅ AB.

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F(2) is equal to 17 for the given Function f(x) = 2(3)^x-1.

The f(2) for  function f(x) = 2(3)^x-1, we substitute x = 2 into the function and evaluate the expression.

Let's calculate f(2) step by step:

f(2) = 2(3)^2-1

First, we evaluate the exponent

3^2 = 9

Next, we substitute this value back into the expression:

f(2) = 2(9) - 1

Now, we perform the multiplication:

2 * 9 = 18

Finally, we subtract 1:

f(2) = 18 - 1

Simplifying further:

f(2) = 17

Therefore, f(2) is equal to 17 for the given function f(x) = 2(3)^x-1.

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Answer: \(f(2)=17\)

Step-by-step explanation:

        To solve, we will substitute 2 for x into the given function by raising to the power of 2, multiplying, and subtracting.

\(f(x)=2(3)^x-1\)

\(f(2)=2(3)^2-1\)

\(f(2)=18-1\)

\(f(2)=17\)

A major advantage of a direct implementation is that people whose roles span modules do not have to switch back and forth between old and new modules.

With this technique, the machine is implemented and tested to make certain it plays well. Then the antique machine is removed and the brand new one is put in its area without any overlap or restricted rollout.

There are three predominant methods used: phased implementation, direct changeover, and parallel going for walks. Phased implementation: A staged technique whereby one part of the overall system that desires change is changed.

Structures implementation is the process of defining how the data device needs to be built (i.e., physical machine design), ensuring that the records gadget is operational and used, and ensuring that the information device meets greatly preferred i.e. nice warranty.

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Answer:

2 tons of dirt per hour

Step-by-step explanation:

helpful to know: 1/6 hours = 10 minutes

you can create a proportion to find unit rate by using (tons of dirt ÷ time)

we'll use 'd' to represent amount of dirt and use minutes

1/3÷10 = d/60

1/3÷10 = 1/3 × 1/10 = 1/30

we now have:

1/30 = d/60

we can cross-multiply to get:

30d = 60

d = 2

Answer:

2

Step-by-step explanation:

Answer:

yes in this problem u would multiply the exponents due to the parenthesis, equaling 5^18

The number outside of the radical symbol is called the index or the radicand.

In your photo, the letter "K" appears to be a variable and is not commonly referred to as a specific term. However, in some contexts, the letter "K" may represent a constant value.

The horizontal line of the radical symbol is referred to as the vinculum, the quantity underneath it as the radicand, and the number n written to the left as the index.

The term "radical" is used to represent the square root or nth roots.

Radicand: A value or phrase included within the radical symbol.

Therefore, the number outside of the radical symbol is called the index or the radicand

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Answer:

the best company is canadian since the shoes are equivalent to 4,540.525$ (US dollars)

while if you multiply the american (19× 250) company they sell it for 4750 dollars

explanation:

5747.50 in canadian dollars for 250 pairs of shoes

make 5747.50 into US dollars by multiplying

5747.50 × 0.79 so thats how it equals 4,540.525 or 4,540$ (us dollars)

sorry if im speeding this up im in school rn

Answer:

B

Step-by-step explanation:

I did math

The table has a constant of proportionality of 0.322

The table that completes the question is added as an attachment

On the table, we have the following points

(x, y) = (9.3, 3)

To determine the constant of proportionality, remove the origin

So, we have

(x, y) = (9.3, 3)

The constant of proportionality of the points is then calculated as

k = y/x

Substitute the known values in the above equation

So, we have

k = 3/9.3

Evaluate the quotient

So, we have

k = 0.322

Hence, the constant of proportionality of the table is 0.322

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Answer:

C. 3 ( x + 3 )( x + 9 )

Step-by-step explanation:

3x^2+36x+81

3(x^2 + 12x + 27)

3 (x + 3) ( x + 9)

The minimum and maximum amounts that the artist received for her products this week are $225 and $275, respectively.

Let's define a variable to represent the amount the artist received for her products this week.

Let the variable be x

The absolute value equation that represents the scenario is:

| x - 250 | = 25

We have to solve the equation

Let there are two possibilities , one where x - 250 is positive and one where x - 250 is negative.

When x - 250 is positive:

If x - 250 is positive, then the equation becomes:

x - 250 = 25

Adding 250 to both sides:

x = 275

If x - 250 is negative:

If x - 250 is negative, then the equation becomes:

-(x - 250) = 25

Multiplying both sides by -1 to remove the negative sign:

x - 250 = -25

Adding 250 to both sides:

x = 225

So, the solutions to the absolute value equation are x = 275 and x = 225.

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Based on the information that the smallest score in a population is x=5, and the largest score is x=10, the conclusion is that the standard  deviation is going to be smaller than the range of scores.

Given that in a population, the smallest score is x=5, and largest score is x=10, the range of scores is:

Range of scores=largest score-lowest score

                          =10-5

                           =5

Here the range of scores is 5, and the mean of the scores is likely to be between 5 and 10

Standard deviation which refers to the average spread of the distribution,  will now be considered to be smaller since the range of scores is low.

Because standard deviation is found from the mean, if the mean is between x=5 and x=10, the standard deviation must be lower than x=5.

Hence, smaller than the range of scores.

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