How would you figure out what coordinate B is?​

Answer:

q = 27     r = 27

Step-by-step explanation:

(11 x 5) - 28 = 55 - 28 = 27

(7 x 5) - 8 = 35 - 8 = 27

Answer:

TC recheck it hexes ten 8 Uzbek

Answer: move the point or decimal

Step-by-step explanation: you just remove the decimal that means the point the devide and put it back

Answer:

Projected height = (85 *21) / 35 = 51 cm

Step-by-step explanation:

Since the images are similar, we can set up the proportional equation like this:

Slide width / Slide height = Projected width / Projected height

35 mm / 21 mm = 85 cm / Projected height (in cm)

Projected height = (85 *21) / 35 = 51 cm

Answer:

Step-by-step explanation:

2(√x+2/2 - 1)² + 4 (√x+2/2 - 1)

2((√x+2/2)² + 1² - 2(√x+2/2)(1)) + 4√x+2/2 - 4

2(x+2/2 + 1 - 2(√x+2/2)) + 4√x+2/2 - 4

x + 2 + 2 - 4√x+2/2 + 4√x+2/2 - 4

x + 4 - 4

x

Answer:

the answer is x

Step-by-step explanation:

Answer:

Wrong

Step-by-step explanation:

Edge 2012

a. The average monthly expenses for renting this house would be $1492.50.

b. Renting the bungalow for one year would require a total expenditure of $17,910, including both the monthly rent and the average monthly utility expenses.

a. To calculate the average monthly expenses for renting the bungalow, we need to consider both the monthly rent and the average monthly utility expenses.

The total utility expenses per month can be calculated by summing up the individual utility expenses and dividing by the number of months.

Electricity expenses: $280 every two months means $280/2 = $140 per month.

Natural gas expenses: $115 per month.

Water expenses: $150 every four months means $150/4 = $37.50 per month.

Therefore, the total average monthly utility expenses are $140 + $115 + $37.50 = $292.50.

Adding the monthly rent of $1200 to the utility expenses, the average monthly expenses for renting this house would be $1200 + $292.50 = $1492.50.

b. In summary, the estimated total expenses for one year of renting the two-room bungalow would be approximately $17,910. This includes the annual rent of $14,400 ($1200 x 12 months) and the average monthly utility expenses of $292.50 ($292.50 x 12 months).

To break it down further, the annual utility expenses would amount to $3,510 ($292.50 x 12 months). This consists of the electricity expenses of $1,680 ($140 x 12 months), natural gas expenses of $1,380 ($115 x 12 months), and water expenses of $450 ($37.50 x 12 months).

Overall, renting the bungalow for one year would require a total expenditure of $17,910, including both the monthly rent and the average monthly utility expenses. It's important to note that these calculations are based on the provided estimates, and actual expenses may vary depending on usage and other factors.

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Answer:

D

Step-by-step explanation:

it is the only graph with all the points in the table correctly plotted out

Answer:

D.

Step-by-step explanation:

There are negative x values involved (-1 and -2) and positive, so you can discard A and C on that basis.

The value for day -1 should be +4, only graph D shows that.

Answer:

that one is already correct

Based on the information, we can determine convergence or divergence of series.The given options do not provide a clear representation of potential outcomes.It is not possible to select correct option.

The given series is "nvž enn |||-) En=12 100 1-) Σπίο 3* 2"-1 ||-) En=2 n". In the series, we have the characters "nvž enn |||-)" which indicate the series notation. The characters "En=12 100 1-" suggest that there is a summation of terms starting from n = 12, with 100 as the first term and a common difference of 1. The characters "Σπίο 3* 2"-1 ||-) En=2 n" indicate another summation, starting from n = 2, with a pattern involving the operation of multiplying the previous term by 3 and subtracting 1.

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The equivalent expression for 1.5 cubed over 1.3 raised to the fourth power all raised to the power of negative six is 1.5 to the eighteenth power over 1.3 to the twenty-fourth power.

Here are the steps to simplify the expression:

Apply the negative power rule: (1.5 cubed over 1.3 raised to the fourth power) raised to the power of negative six is equal to (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six.

Apply the power of a quotient rule: (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six is equal to (1.3 raised to the fourth power)⁶ / (1.5 cubed)⁶.

Apply the power of a power rule: (1.3 raised to the fourth power)⁶ is equal to 1.3(⁴*⁶) = 1.3²⁴.

Apply the power of a power rule: (1.5 cubed)⁶ is equal to 1.5(³*⁶) = 1.5¹⁸.

Therefore, the equivalent expression is 1.5¹⁸ / 1.3²⁴.

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The ratio of cost to the number of cans = 5: 2  

A ratio is a mathematical concept that represents the relationship between two or more values.

In the given problem, the ratio represents the relationship between the cost of the soup and the number of cans purchased.

Ratios are commonly used in mathematics, finance, and other fields to express comparisons and relationships between different quantities.

Here we have

$10 for 4 cans of soup  

The required ratio can be formed as follows

=> 10: 4

=> 10/2: 4/2   [ Divided by 2 ]

=>  5: 2

Therefore,

The ratio of cost to the number of cans = 5: 2    

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Therefore, the simplified cube root of 576,000 is 40∛9.

To simplify the cube root of 576,000, we need to find the largest perfect cube that is a factor of 576,000. In this case, the largest perfect cube that divides 576,000 is 1,000 (which is equal to 10^3).

So we can rewrite 576,000 as (1,000 x 576). Taking the cube root of both terms separately, we get:

∛(1,000 x 576) = ∛1,000 x ∛576

The cube root of 1,000 is 10 (∛1,000 = 10), and the cube root of 576 can be simplified further. We can rewrite 576 as (64 x 9), and taking the cube root of both terms separately:

∛(64 x 9) = ∛64 x ∛9 = 4 x ∛9

Now we can combine the results:

∛(1,000 x 576) = 10 x 4 x ∛9

Simplifying further:

10 x 4 x ∛9 = 40∛9

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Answer:

a. 12x+22, b. x = 9

Step-by-step explanation:

a. The perimiter in terms of x is 2((4x+8)+(2x+3)) = 12x+22

b. 12x+22=136, 12x=108, x=9

a. 12x+22, b. x = 9

Step-by-step explanation:

a. The perimiter in terms of x is 2((4x+8)+(2x+3)) = 12x+22

b. 12x+22=136, 12x=108, x=9

Answer:

height of water = 5.60 cm

Step-by-step explanation:

To solve this problem, we must first calculate the volume of water present. Since the rectangular container is completely filled, the volume of water is the same as the volume of the container.

∴ Volume of water = volume of rectangular container

                                 = length × width × height

                                 = 2 cm × 11 cm × 20 cm

                                 = 440 cm³

Therefore the volume of the water is 440 cm³.

The water is poured into a cylindrical container. Therefore, to calculate the height of the water in the cylindrical container, we can use the formula for the volume of a cylinder, and then solve for height:

Volume = \(\pi r^2 h\) = 440

             ⇒ \(\pi \times (5)^2 \times h = 440\)

             ⇒ \(25\pi \times h = 440\)

             ⇒ \(h = \frac{440}{25\pi }\)

             ⇒ h = 5.60 cm

The height of water in the cylindrical container is 5.60 cm.

The point at which the graph has a horizontal tangent line is (-1, -1).

To determine the point(s) at which the graph of the function y = x² + 2x has a horizontal tangent line, we need to find the values of x where the derivative of the function is equal to zero.

First, let's find the derivative of y with respect to x:

dy/dx = d/dx (x² + 2x)

= 2x + 2

To find the values of x where the derivative is equal to zero, we set dy/dx = 0 and solve for x:

2x + 2 = 0

Subtracting 2 from both sides:

2x = -2

Dividing both sides by 2:

x = -1

Therefore, the graph of the function y = x² + 2x has a horizontal tangent line at the point (-1, y) where x = -1. To find the corresponding y-coordinate, we substitute x = -1 into the equation y = x² + 2x:

y = (-1)² + 2(-1)

= 1 - 2

= -1

So, the point at which the graph has a horizontal tangent line is (-1, -1).

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Answer

x = 12, y = 5

x = -13, y = -20

Step by step explanation:

You have two equations, and you have to find a way to merge them.

x - y = 7 —— {1}

From {1}, y = x - 7 —— {2}

x² + y = 149 —— {3}

Rep {2} in {3}

x² + y = 149

x² + (x-7) = 149

x² + x - 156 = 0

(x-12) (x+13) = 0

x = 12 and x = - 13

When x = 12, y = 12 - 7 = 5

(12, 5)

When x = - 13, y = - 13 - 7 = - 20

(-13, - 20)

Answer:

The answer is t = 17

Step-by-step explanation:

Sum of angles on a straight line = 180⁰

(2t -7) + 90 + 49= 180

(2t -7) +139 = 180⁰

2t -7) = 180 - 139

2t - 7 = 41

2t = 41 - 7

2t = 34

Divide both sides by 2

t = 17

Answer:

a

Step-by-step explanation:

i think its correct

Age will be 40 years old.

R, in beats per minute, can be approximated by the formulas, where a represents the person's age.

where R= 143 - 0.65a for women.... (1)

and R= 165 - 0.75a for men,..... (2)

So by implementing these two equation we get a = 40

If the sum of ages is X and Y, and the ratio of their ages is p:q, then the age of Y can be calculated using the formula shown below: Y's age = Y's ratio/Sum of ratios x sum of ages The age dependency ratio is the ratio of dependents (people under the age of 15 or over the age of 64) to the working-age population (people between the ages of 15 and 64). The proportion of dependents per 100 working-age population is shown in the data.

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Yes, the point (-5,3)  satisfy the inequality 3x+2y<12.

What is inequality?

In Algebra, inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol.

The expressions on both sides of an inequality sign aren't equal. It means that the expression on the left- hand side should be lesser than or lower than the expression on the right- hand side or viceversa.

However, also it's called non fictional inequalities, If the relationship between two algebraic expressions is defined using the inequality symbols.

Still, “< ”, “ ≥ ”, “ If two real figures or the algebraic expressions are related by the symbols “> ”. ”

We have an expression;

3x + 2y < 12

We have point (-5, 3);

So, for checking the statisfaction of inequality we have to put the point in the expression;

Here, x = -5 and y = 3

so, 3(-5) + 2(3) < 12

     -15 + 6 < 12

      -9 < 12

Which is true.

Hence, we see the clearly that it the points (-5,3) satisfies the given expression 3x + 2y < 12.

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By similar triangle the value οf x is 7.(οptiοn C)

Twο triangles are said tο be similar if they have the same ratiο οf cοrrespοnding sides and equal pair οf cοrrespοnding angles. When twο οr mοre figures have the same shape, but their sizes are different, then thοse οbjects are called similar figures.

The prοblem can be sοlved by similarity οf triangle.

By the fοrmula οf similar triangle,

\(\frac{Base of the large triangle}{Hypotenuse of the large triangle} =\frac{Base of the smaller triangle}{Hypotenuse of the smaller triangle}}\)

Given that,

Base οf the large triangle is 14 units

Hypοtenuse οf the large triangle is 49 units

Base οf the small triangle is 2 units

Hypοtenuse οf the small triangle is x units

Sο frοm the similarity οf triangle

14/ 49= 2/x

sοlving we get the value οf the x,

x= (49×2)/14

x= 7

Hence the value οf x is 7.

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The correct form of the partial fraction decomposition for the expression (13x - 7)/((x + 2)(4x - 3)) is;

Option B; [A/(x + 2)] + [(Bx + C)/(4x - 3)]

The given complex fraction is;

(13x - 7)/((x + 2)(4x - 3))

      Now partial fractions are simply decomposition of complex fractions into simpler fractions. For example we want to decompose the complex fraction;

4/[(x - 1)(x + 5)]

The right format will be;

[A/(x - 1)] + [B/(x + 5)]

Applying this same pattern above to our question, we can decompose the fraction (13x - 7)/((x + 2)(4x - 3)) into;

[A/(x + 2)] + [(Bx + C)/(4x - 3)]

In conclusion, the correct answer is Option B.

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The correct form of the partial fraction decomposition for the expression (13x - 7)/((x + 2)(4x - 3)) is; Option B; \(\dfrac{A}{(x + 2)} +\dfrac{Bx + C)}{(4x - 3)}\)

A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

The given complex fraction is;

(13x - 7)/((x + 2)(4x - 3))

Now partial fractions are simply the decomposition of complex fractions into simpler fractions. For example, we want to decompose the complex fraction;

4/[(x - 1)(x + 5)]

The right format will be;

[A/(x - 1)] + [B/(x + 5)]

Applying this same pattern above to our question, we can decompose the fraction (13x - 7)/((x + 2)(4x - 3)) into;

[A/(x + 2)] + [(Bx + C)/(4x - 3)]

In conclusion, the correct answer is Option B.

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To ensure the best test results, Anita should be provided with the following information before her spirometry:

1. Instructions for taking the test: Anita should be thoroughly explained about how the spirometry test works and what steps she needs to follow. This includes taking a deep breath and blowing as hard as she can into the spirometer mouthpiece. It is important to emphasize that she needs to repeat this procedure a few times and take deep breaths between each exhale.

2. Emphasize the importance of taking medication as prescribed: Anita should be reminded of the importance of taking her medications as prescribed, including on the day of the test. It is crucial for her to bring her medications to the test appointment.

3. Avoid certain foods and drinks: Anita should be informed to avoid consuming certain substances before the spirometry test, such as caffeine, alcohol, and heavy meals. These can potentially affect the accuracy of the test results.

4. Arrive early for the test: Anita should be advised to arrive early for the test to allow herself sufficient time to relax and calm down before the procedure. This can help ensure more accurate results.

The rationale behind providing these instructions and information is that spirometry is a lung function test that measures the amount and speed of air being breathed in and out. By following the instructions and guidelines, Anita can achieve optimal results, aiding in the diagnosis and assessment of lung conditions.

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Answer:

C

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

0.15+0.25=0.40 which equals 40%

Given statement solution is :- a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

Set A: {apple, banana}, Set B: {cat, dog}

Power set of A: {{}, {apple}, {banana}, {apple, banana}}

Power set of B: {{}, {cat}, {dog}, {cat, dog}}

Set A: {red, blue}, Set B: {circle, square}

Power set of A: {{}, {red}, {blue}, {red, blue}}

Power set of B: {{}, {circle}, {square}, {circle, square}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

Set A: {apple, banana, orange}, Set B: {cat, dog, elephant}

Power set of A: {{}, {apple}, {banana}, {orange}, {apple, banana}, {apple, orange}, {banana, orange}, {apple, banana, orange}}

Power set of B: {{}, {cat}, {dog}, {elephant}, {cat, dog}, {cat, elephant}, {dog, elephant}, {cat, dog, elephant}}

Set A: {red, blue, green}, Set B: {circle, square, triangle}

Power set of A: {{}, {red}, {blue}, {green}, {red, blue}, {red, green}, {blue, green}, {red, blue, green}}

Power set of B: {{}, {circle}, {square}, {triangle}, {circle, square}, {circle, triangle}, {square, triangle}, {circle, square, triangle}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

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\[ \left[\begin{array}{rr}-35 & 7 \\ 5 & -1\end{array}\right] \]

In Exercises 1-12, use the Gauss-Jordan method to compute the inverse, if it exists, of the matrix.

1. \( \left[\begin{array}{ll}7 & 3 \\ 5 & 2\end{array}\right] \)

To find the inverse of this matrix, we need to use the Gauss-Jordan method. We begin by writing the augmented matrix:

\[ \left[\begin{array}{cc|cc}
7 & 3 & 1 & 0 \\
5 & 2 & 0 & 1
\end{array}\right]\]

Next, we subtract 5 times the first row from the second row to obtain:

\[ \left[\begin{array}{cc|cc}
7 & 3 & 1 & 0 \\
0 & -11 & -5 & 1
\end{array}\right]\]

Now, we divide the second row by -11 to obtain:

\[ \left[\begin{array}{cc|cc}
7 & 3 & 1 & 0 \\
0 & 1 & 5 & -1
\end{array}\right]\]

Finally, we subtract 7 times the second row from the first row to obtain:

\[ \left[\begin{array}{cc|cc}
1 & -20 & -35 & 7 \\
0 & 1 & 5 & -1
\end{array}\right]\]

Therefore, the inverse of the given matrix is:

\[ \left[\begin{array}{rr}-35 & 7 \\ 5 & -1\end{array}\right] \]

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The positive difference between the sum of the first 15 positive even numbers and the sum of the first 15 positive odd numbers is 15.

We are supposed to find out the positive difference between the sum of the first 15 positive even numbers and the sum of the first 15 positive odd numbers. That means we need to find the sum of the first 15 positive even numbers and the sum of the first 15 positive odd numbers separately and then find their positive difference.

Step 1: Calculation of the sum of the first 15 positive even numbers: Even numbers are multiples of 2 and first 15 even numbers are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30. The sum of the first 15 positive even numbers is equal to (2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 + 22 + 24 + 26 + 28 + 30). The sum can be calculated as follows :sum of the first 15 positive even numbers = 2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 + 22 + 24 + 26 + 28 + 30= 240

Step 2: Calculation of the sum of the first 15 positive odd numbers: Odd numbers are not multiples of 2 and first 15 odd numbers are 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29. The sum of the first 15 positive odd numbers is equal to (1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25 + 27 + 29). The sum can be calculated as follows: sum of the first 15 positive odd numbers = 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25 + 27 + 29= 225

Step 3: Calculation of positive difference between the sum of the first 15 positive even numbers and the sum of the first 15 positive odd numbers: We have found that the sum of the first 15 positive even numbers is 240 and the sum of the first 15 positive odd numbers is 225. Thus, the positive difference between the sum of the first 15 positive even numbers and the sum of the first 15 positive odd numbers is equal to the absolute difference between 240 and 225.Positive difference = |240 - 225|= 15. Thus, the positive difference between the sum of the first 15 positive even numbers and the sum of the first 15 positive odd numbers is 15.

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Answer:

p =  y + 2.55

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

The price of a gallon of milk was $2.65. The price rose y dollars after the last hurricane. Then the price dropped $0.15 and later rose again by $0.05. Which expression represents the current price of milk

My answer:

Let p is the price of milk

Given the information:

<=> p = 2.65  

<=> p = 2.65   + y

<=> p =  2.65   + y  - 0.15

<=> p = 2.65  + y  - 0.15  + 0.05

<=> p =  y + 2.55

Hope it will find you well.