Complete the square
to find the vertex
of this parabola.
2
X -- 4 y-12 x+68=0
([?], [ ]
PLEASE HELP ASAP

Note that where the  figure has rotational​ symmetry, tell the angle of rotation any angle can be the angle of ration. (Option B)

In geometry, rotational symmetry, also known as radial symmetry, is the quality that a form exhibits when it looks the same after a partial turn rotation.

The degree of rotational symmetry of an item is the number of possible orientations in which it appears precisely the same for each revolution.

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Answer:

hope it helps you

Step-by-step explanation:

A computer downloads a movie at a constant rate. What does the slope represent? 2000

Download (megabytes)

000-

400

Time (min)

CLEAR

CHECK

Number of minutes for download completion

Downloading speed in megabytes per minute

Unit rate of minutes per megabyte

Unit rate of megabytes per movie

Answer:

Downloading speed in megabytes per minute

Step-by-step explanation:

did on ttm

Answer:

Terms: x, 4y, 32

variables: x, y

constant: 32

coefficients: 4, 1

Step-by-step explanation:

Hope this helps!

Answer:

3 &4

Step-by-step explanation:

The hyperbola with one focus point in common with the given hyperbola is:

[(y + 11)² / 10²] - [(x - 7)² / 15²] = 1

To find a hyperbola that shares one focus point with the given hyperbola, we need to find another hyperbola with the same focus point but different characteristics (e.g., eccentricity or axis length).

The equation of the given hyperbola is:

[(y + 11)² / 15²] - [(x - 7)² / 8²] = 1

The general equation of a hyperbola with its center at (h, k) is:

[(y - k)² / a²] - [(x - h)² / b²] = 1

The center (h, k) of the given hyperbola is (7, -11).

To share one focus point, we need to keep the center at (7, -11) but change the values of a and b. The eccentricity of a hyperbola is defined as e = c / a, where c is the distance from the center to the focus.

Let's assume the new hyperbola has an eccentricity different from the given hyperbola. We'll keep the same value of c and change the value of a to get a different eccentricity.

Let's say the new hyperbola has a value of a' = 10. Since the eccentricity is different, the value of b' will change accordingly. Let's calculate b' using the eccentricity formula:

e = c / a'

15 / 10 = 1.5

Now, we can find b' using the eccentricity:

e = c / a' = c / 10

c = e * a' = 1.5 * 10 = 15

Now, we have the center (7, -11), the value of a' = 10, and the value of c = 15. The equation of the new hyperbola with one focus point in common is:

[(y + 11)² / 10²] - [(x - 7)² / 15²] = 1

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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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The correct option is A, equilibrium price increases from $6 to $8.

In economics, equilibrium is a state in which the supply and demand for a product or service are balanced, resulting in a stable price. This can occur in a free market, where the price of a good or service is determined by the interaction of buyers and sellers.

Overall, equilibrium is a fundamental concept in many different fields, representing a state of balance or stability in a system or situation.

If the demand schedule changes from D2 to D1, then the demand curve shifts to the left. As a result, the new equilibrium point will be where the new demand curve (D1) intersects with the supply curve (S1).

From the table, we can see that the new equilibrium point is at a price of $8 and a quantity of 15. Therefore, the equilibrium price increases from $6 to $8, but the equilibrium quantity decreases from 15 to 13.

So the correct answer is: equilibrium price increases from $6 to $8.

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Answer:

D

\(x = \frac{11}{ \tan(30 \degree) } \\ x = 11 \sqrt{3} \)

\(y = \frac{11}{ \sin(30 \degree) } \\ y = 22\)

The option B, "The adult male foot length of 23.8 cm is significantly low because it is less than 24.26 cm" is correct.

In the given question, a group of adult males has foot lengths with a mean of 26.84 cm and a standard deviation of 1.29 cm.

We have to find the adult male foot length of 23.8 cm significantly low or significantly​ high.

According to thumb rule, a value is significantly low if it is 2 standard deviations below mean and significantly high if it is 2 standard deviations above mean

Mean = 26.84 cm

Standard deviation = 1.29 cm

Significantly low value = 26.84 - 2*1.29 = 24.26 cm

Significantly high value = 26.84 + 2*1.29 = 29.42 cm

Significantly low values are 24.26 cm or lower.

Significantly high values are 29.42 cm or higher.

The adult male foot length of 23.8 is lower than the significant low value of 24.26.

So the option B, "The adult male foot length of 23.8 cm is significantly low because it is less than 24.26 cm" is correct.

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Using the z-tables (or t-tables), determine the critical value for the right-tailed z-test withα=0.025

--1.96--------

Option a. 1.96 is correct.

To find the critical value for a right-tailed z-test with α = 0.025 using the z-table, follow these steps:
Identify the desired significance level, α. In this case, α = 0.025.
Determine the area to the right of the critical value, which is the same as the significance level.

This area is 0.025.
Look up the z-score that corresponds to this area in the z-table.
Looking up the area of 0.025 in the z-table, we find that the corresponding z-score is 1.96.

Therefore, the critical value for the right-tailed z-test with α = 0.025 is 1.96.
a. 1.96.

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Answer:

0.5 minutes

Step-by-step explanation:

Since we are provided the equation and the current height of the candle (which would be 25 inches) we can simply replace this current height with the variable h and then solve the rest of the equation to find out the value of m when the height of the candle is at 25 inches.

h = 32−14m

25 = 32−14m ... subtract both sides by 32

-7 = -14m ... divide both sides by -14

0.5 = m

Finally, we can see that after 0.5 minutes the candle would have melted down to 25 inches.

Answer:

It's incorrect. there is no such thing as 120%

Step-by-step explanation:

No step problem

Answer:

Hm, if Ariana wants to save money for her house, she should spend less money on fast food a month because if she spending $100 dollars for takeout coffee and spending at the same time a month for fast food. she should eat less fast food and less money for coffee because she would be spending way too much money because F = $200 and C = $100 dollars, so $200 + $100 dollars would be $300 dollars a month. she could still have takeout coffee however, not every month. The fast food needs to be taken out of her diet as well because its the fact its unhealthy and costing her way too much money, she should stop having fast food and not have coffee or the fast food EVERY MONTH, she could have the fast food evert 5 months and her takeout coffee every once a month. hopefully this helps ^^

Answer:

Step-by-step explanation:

Hiroki's mom is worried he is not saving enough. She says he should save some money for an emergency. He says he can use his credit card in an emergency. Who is right

Answer:

3:4:5( by cancelling by 6)

Step-by-step explanation:

please mark me as brainlest

Answer:

3 : 4 : 5

Step-by-step explanation:

18 : 24 : 30 ( divide each part by 6 )

= 3 : 4 : 5

Answer:

-1 <= x <= 1

Step-by-step explanation:

√((1-2x+x^2)+2-2x^2)

= √((1-x)^2 + 2*(1-x)(1+x) )

điều kiện là 1 - x > =0 và 1+x >=0

giải 2 bất phương trình trên ta thu đc kết ququả

Answer:

28 kilowatt hours

Step-by-step explanation:

The total distance = 2 × 42 miles = 84 miles

So the kilowatt hours of electricity would it will take = \( \frac{84}{3}= 28\:kilowatt hours \)

The general solution of the given second-order linear ordinary differential equation is y = (c1 + c2x)e^(5x) + 22/25, where c1 and c2 are arbitrary constants.

The given differential equation is y'' - 10y' + 25y = 22. To find the general solution, we first need to find the complementary function by solving the associated homogeneous equation, which is y'' - 10y' + 25y = 0.

Assuming a solution of the form y = e^(rx), we substitute it into the homogeneous equation and obtain the characteristic equation r^2 - 10r + 25 = 0. Solving this quadratic equation, we find that r = 5 is a repeated root.

Therefore, the complementary function is of the form y_c = (c1 + c2x)e^(5x), where c1 and c2 are arbitrary constants.

Next, we find a particular solution for the non-homogeneous equation y'' - 10y' + 25y = 22. Since the right-hand side is a constant, we can assume a constant solution y_p = a.

Substituting y_p = a into the differential equation, we find that 25a = 22, which gives a = 22/25.

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Cash was paid for salaries during 2014 was $55,100. These are the formulas for calculating the cash salary received in 2014:

Salary paid in cash = Salary expense in 2014 - Reduction in salary payable

The difference between the balance due for salaries at the end of each year—that is, at December 31, 2013 and December 31, 2014—can be used to determine the decline in salaries payable:

Salaries payable at December 31, 2013, compared to salaries payable at December 31, 2014, are $3,700, $1,800, and $1,900, respectively.

The drop in the balance of salaries payable from 2013 to 2014 indicates that the business paid more compensation than it incurred for the year. As a result, the 2014 salary payments in cash are:

Cash paid for salaries equals salaries paid in 2014 less salaries payable, or $57,000 minus $1,900, or $55,100.

Hence, (A) $55,100 is the correct response.

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Answer:

The volume is 3360

Step-by-step explanation:

L X H x W

12* 28* 10= 3360

Your welcome

Finding the Inverse of a Polynomial Function by Restricting the Domain

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Answer: purple: 1.25x10^-4 Red: 2x10^-04 Blue: 3.25x10^-06

Step-by-step explanation: Hope this is right

The range of the function g(x) is given as follows:

[0, ∞).

From the graph of the function given in this problem, y assumes all real non-negative values, hence the interval notation representing the range of the function is given as follows:

[0, ∞).

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If 75 grams of ice cream contains 10 grams of fat, then 150 grams of ice cream would contain 20 grams of fat. The amount of fat is directly proportional to the weight of the ice cream.


We can set up a proportion to solve the problem. Let x represent the unknown amount of fat in 150 grams of ice cream. According to the given information, we have the proportion:
10 grams of fat / 75 grams of ice cream = x grams of fat / 150 grams of ice cream
To solve for x, we can cross-multiply and then divide:
10 * 150 = 75 * x
1500 = 75x
X = 1500 / 75 = 20
Therefore, 150 grams of ice cream would contain 20 grams of fat. This is because the ratio of fat to ice cream remains constant, so we can use this proportion to find the missing value.

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The effective cost of the reverse mortgage if the senior lives out the entire loan is 12.45%.

The effective cost, or the total cost of the reverse mortgage if the senior lives out the entire loan, can be calculated as follows:

The answer is 8.88%.

To calculate the effective cost, we need to consider the interest rate and the origination fee. Since the given scenario states that there is no origination fee, we can ignore it for this calculation.

The interest rate is 8%, which means that the loan balance will increase by 8% per year. Over a 20-year term, we need to calculate the total compounded interest on the initial loan amount of $200,000.

Using the compound interest formula, we can calculate the total cost as follows:

Total Cost = Loan Amount * (1 + Interest Rate)^Number of Years

Total Cost = $200,000 * (1 + 0.08)^20

Total Cost ≈ $200,000 * 4.66096

Total Cost ≈ $932,192

Therefore, the effective cost of the reverse mortgage if the senior lives out the entire loan is approximately $932,192.

To determine the effective cost as a percentage, we can calculate the percentage increase in the loan balance over the loan term:

Percentage Increase = (Total Cost - Loan Amount) / Loan Amount * 100

Percentage Increase = ($932,192 - $200,000) / $200,000 * 100

Percentage Increase ≈ $732,192 / $200,000 * 100

Percentage Increase ≈ 366.096%

Thus, the effective cost as a percentage is approximately 366.096%.

However, if the given options for the answer are limited to 12.45%, 7%, 8.88%, and 16.23%, the closest option to the actual effective cost of approximately 366.096% is 8.88%.

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Answer:

1 3/5

Step-by-step explanation:

14 5/10 - 12 9/10

I like to line them up vertically

 14 5/10

- 12 9/10

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

We need to borrow from the 14.  14 becomes 13 and the 1 becomes 10/10

 13 10/10+5/10

- 12 9/10

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

13 15/10

- 12 9/10

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

1  6/10

Simplify

1 3/5

The solutions of the trigonometric equation are x₁ = π / 6 and x₂ = 5π / 3.

In this problem we find a trigonometric equation which has to be simplified and solved for x to find the family of solutions within the given interval:

csc x · tan x = 2√3 / 3

(1 / sin x) · (sin x / cos x) = 2√3 / 3

1 / cos x = 2√3 / 3

cos x = 3 / 2√3

cos x = √3 / 2

Then, by inverse trigonometric functions:

x₁ = π / 6, x₂ = 5π / 3

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Answer:

B

Step-by-step explanation:

1 yard and 1 foot = 1 1/2

BRAINLIEST PLEASE

The correlation coefficient indicative of the weakest linear relationship is option (c) -0.05. Among the given options, the correlation coefficient of -0.05 is the closest to 0, indicating the weakest linear relationship.

Correlation coefficient ranges from -1 to 1, with -1 indicating a perfect negative linear relationship, 1 indicating a perfect positive linear relationship, and 0 indicating no linear relationship. Therefore, a correlation coefficient closer to 0 indicates a weaker linear relationship. Among the given options, the correlation coefficient of -0.05 is the closest to 0, indicating the weakest linear relationship.

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Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.

The  total number of ways that 3 boys and 3 girls can line up so that no two of the three boys are next to each other is found to be as  144 .

It is given that there are four general arrangements of boys and girls,

Here, the boys can be arranged or rearranged (permuted) among themselves in a total of ,  3 × 2 × 1 = 6 different ways.

Similarly, the three girls can be rearranged among

themselves in 6 ways.

We are given that both the groups can arrange themselves independently .

Therefore,  the number of ways to create any one of the four basic arrangements is 6 × 6 = 36.

Therefore, the number of ways to arrange them is ,

4 × 36 = 144 .

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