Which equation has only one solution?
A) c+2=c+2
B) c=-c+2
C) c+2=c-2
D) c-c=2

Answer:

1.

x⁶

2.

4m¹³

Step-by-step explanation:

To find the equation of the hyperbola with the given information, we can start by finding the center of the hyperbola, which is the midpoint between the vertices. The midpoint is (-1 + 11)/2 = 5. Therefore, the center of the hyperbola is (5, 2).

Next, we can find the distance between the center and one of the vertices, which is 11 - 5 = 6. This distance is also known as the distance from the center to the vertex (a).

The distance between the center and the focus is 13 - 5 = 8. This disance is known as the distance from the center to the focus (c).

Now, we can use the formula for a hyperbola with a horizontal axis:

\((x - h)^2/a^2 - (y - k)^2/b^2 = 1,\)

where (h, k) is the center, a is the distance from the center to the vertex, and c is the distance from the center to the focus.

lugging in the values, we have:\

\((x - 5)^2/6^2 - (y - 2)^2/b^2 = 1\)

We still need to find the value of b^2. We can use the relationship between a, b, and c in a hyperbola:

\(c^2 = a^2 + b^2.\)

Substituting the values, we have:

\(8^2 = 6^2 + b^2,64 = 36 + b^2,b^2 = 28.\)

Therefore, the equation of the hyperbola is:

\((x - 5)^2/36 - (y - 2)^2/28 = 1.\)

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Answer: He spent $7.25 dollars.

Step-by-step explanation:

Inequality shows a relationship between two numbers or two expressions.

The inequality that would represent the possible values for the number of candies purchased c and the number of pretzels purchased p is

3.50c + 3.25p ≤ 30

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal =

Greater than and equal=

We have,

Cost of candy = $3.50

Cost of a pretzel = $3.25

Total amount to spend = $30

Let the number of candies = c

Let the number of pretzels = p

The inequality to spend on possible numbers of candies and pretzels:

3.50c + 3.25p ≤ 30

Thus,

The inequality that would represent the possible values for the number of candies purchased c and the number of pretzels purchased p is

3.50c + 3.25p ≤ 30

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The maximum monthly rent that Yasmine should pay is approximately $619.58.

To calculate the maximum monthly rent that Yasmine should pay, we need to determine her monthly income and then find 30% of that amount.

Yasmine's hourly  = $11.75

Hours worked per week = 35

Weekly income = Hourly wage * Hours worked per week

             = $11.75 * 35

             = $411.25

Monthly income = Weekly income * Number of weeks in a month

              = $411.25 * 4

              = $1645

Now, let's calculate 30% of her monthly income:

Rent limit = 30% of Monthly income

          = 0.30 * $1645

          = $493.50

Therefore, the maximum monthly rent that Yasmine should pay is

To determine the maximum monthly rent that Yasmine can afford, we first calculate her monthly income. Since she earns $11.75 per hour and works 35 hours per week, we multiply her hourly wage by the number of hours worked per week to find her weekly income.

Next, we multiply her weekly income by the number of weeks in a month (which we assume to be 4) to obtain her monthly income.

Finally, we calculate 30% of her monthly income by multiplying it by 0.30, which represents 30% as a decimal.

The result, rounded to two decimal places, is the maximum monthly rent that Yasmine should pay. In this case, the maximum monthly rent is $493.50.

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By comparing the responses across the three groups, the researcher can identify potential variations in opinions based on educational background. This information can provide valuable insights into how different types of schooling may shape perspectives on civic policies like curfews.

That's an interesting research approach!  By gathering opinions from different groups of children, specifically home-schooled, private school attendees, and public school attendees, the researcher can gain insights into how various educational backgrounds might influence their opinions on the new town curfew.

Collecting a simple random sample from each group ensures that every child within the respective groups has an equal chance of being selected for the survey. This helps in minimizing bias and increasing the generalizability of the findings to the larger population of home-schooled, private school, and public school children.

Once the samples are obtained, the researcher can administer a survey or questionnaire to collect the children's opinions on the new town curfew. The survey may include questions related to their awareness of the curfew, their understanding of its purpose, and their personal opinions on whether they support or oppose it.

By comparing the responses across the three groups, the researcher can identify potential variations in opinions based on educational background. This information can provide valuable insights into how different types of schooling may shape perspectives on civic policies like curfews.

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The correct answer is 0.4834

There can only be one tornado every year on the calendar. This indicates that there are only two conceivable outcomes of the event: either there will be one tornado or none at all.

The likelihood of a tornado in any given year is 0.14. This indicates that an event's chance of occurring is fixed. p = 0.14

The frequency of tornadoes in one year is unrelated to the quantity in other years. This indicates that the incidents are unrelated to one another.

The likelihood that there won't be more than two tornadoes in a 12-year period has to be calculated. This indicates that the number of trials, n, is set at 12.

p = 0.14

q = 1 - p = 1 - 0.14 = 0.86

n = 12

x = 2

We need to find: P( x < 2)

Fewer than 2 tornadoes means either 1 or 0 tornado. So,

P(x < 2) = P(x=0) + P(x=1)

the likelihood of less than two tornadoes occurring in a 12-year period is 0.4834

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There are 144 combinations of 1 entree, 2 vegetables, and 1 dessert that can be selected from 4 entrees, 6 vegetables, and 6 desserts.

To determine the number of combinations, we multiply the number of options for each category.

For the entree, we have 4 options to choose from.

For the vegetables, we need to select 2 out of 6, which can be done in 6 choose 2 ways.

This is calculated as 6! / (2!(6-2)!), which simplifies to

6! / (2!4!)

Similarly, for the dessert, we have 6 options to choose from.

To calculate 6 choose 2, we can use the formula for combinations:

n choose r = n! / (r!(n-r)!).

Plugging in the values, we have

6! / (2!4!) = (6 × 5 × 4 × 3 × 2 × 1) / [(2 × 1) × (4 × 3 × 2 × 1)] = 15.

Therefore, we have 4 options for the entree, 15 options for the vegetables, and 6 options for the dessert.

Multiplying these numbers together, we get 4 × 15 × 6 = 144.

Therefore, there are 144 possible combinations of 1 entree, 2 vegetables, and 1 dessert, given the options of 4 entrees, 6 vegetables, and 6 desserts.

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Step-by-step explanation:

The loan borrowed = $5000.00 at 4% interest rate

Monthly payment for the loan = $148 for 36 months

The total amount paid after 36 months = $148 x 36

Total amount =

The amount by which Stephanie sold the item is given as follows:

1560 naira.

The amount by which Stephanie sold the item is obtained applying the proportions in the context of the problem.

The amount at which the item was purchased is given as follows:

1500 naira.

Hence the amount at which the item was sold is given as follows:

1.04 x 1500 = 1560 naira.

The problem asks for the amount by which Stephanie sold the item.

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1. Objective Function and Constraints:

Maximize 2x1 + 3x2 + 5x3 subject to x1 + x2 + x3 ≤ 1500, x1 + x2 ≤ 1100, x2 ≤ 800, x3 ≤ 400.

2. Using Excel Solver, find the optimal allocation of funds.

3. The maximum value of the objective function is reported by Excel Solver.

We have,

Objective Function and Constraints:

Let:

x1 = amount spent on food

x2 = amount spent on shelter

x3 = amount spent on entertainment

Objective Function:

Maximize: 2x1 + 3x2 + 5x3 (since each dollar spent on food has a satisfaction value of 2, each dollar spent on shelter has a satisfaction value of 3, and each dollar spent on entertainment has a satisfaction value of 5)

Constraints:

Subject to:

x1 + x2 + x3 ≤ $1,500 (maximum disposable income)

x1 + x2 ≤ $1,100 (amount spent on food and shelter combined must not exceed $1,100)

x2 ≤ $800 (amount spent on shelter alone must not exceed $800)

x3 ≤ $400 (entertainment cannot exceed $400)

Using Excel Solver:

In Excel, set up a spreadsheet with the following columns:

Column A: Variable names (x1, x2, x3)

Column B: Objective function coefficients (2, 3, 5)

Column C: Constraints coefficients (1, 1, 1) for the first constraint (maximum disposable income)

Column D: Constraints coefficients (1, 1, 0) for the second constraint (amount spent on food and shelter combined)

Column E: Constraints coefficients (0, 1, 0) for the third constraint (amount spent on shelter alone)

Column F: Constraints coefficients (0, 0, 1) for the fourth constraint (entertainment limit)

Column G: Right-hand side values ($1,500, $1,100, $800, $400)

Apply the Excel Solver tool with the objective function and constraints to find the optimal allocation of funds.

Once the Excel Solver completes, it will report the maximum value of the objective function, which represents the optimal satisfaction value achieved within the given budget constraints.

Thus,

Objective Function and Constraints: Maximize 2x1 + 3x2 + 5x3 subject to x1 + x2 + x3 ≤ 1500, x1 + x2 ≤ 1100, x2 ≤ 800, x3 ≤ 400.

Using Excel Solver, find the optimal allocation of funds.

The maximum value of the objective function is reported by Excel Solver.

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When talking about a scale drawing or model, the scale factor is determined by the ratio of a given length on the drawing or model to its corresponding length on the actual object.

This can be written as a fraction, with the length on the drawing or model as the numerator and the corresponding length on the actual object as the denominator. For example, if a drawing of a building has a scale factor of 1:100 and the length of a wall on the drawing is 5 cm, the corresponding length on the actual building would be 500 cm (5 cm x 100). Therefore, the scale factor can be written as 5/500 or simplified to 1/100.

When talking about a scale drawing or model, the term you're looking for is "scale factor." It is determined by the ratio of a given length on the drawing or model to its corresponding length on the actual object. To write this as a fraction, you would place the length on the drawing or model as the numerator and the corresponding length on the actual object as the denominator. For example, if the scale factor is 1:10, you would write it as 1/10.

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Answer: i think it is either A B C or D

Step-by-step explanation: So i know that there are 4 answers so that means one of the four answers are correct........ well i hope that one is correct

the answer is 10m deep after rising

Answer:

The father's current age is 42

The son's current age = 10

Step-by-step explanation:

Let the son's present age = x

Let the father's present age = y

5(x - 2) = y - 2

3(x + 2) + 8 = y + 2     Remove the brackets of both equations

5x - 10 = y - 2            Add 2 to both sides

5x - 8 = y

3x + 6 + 8 = y + 2

3x + 14 = y + 2          Subtract 2 from both sides

3x + 14 - 2 = y

3x + 12 = y

Equate the left side of the resulting equations

3x + 12 = 5x - 8                   Add 8 to both sides

3x + 12 + 8 = 5x                  Subtract 3x from both sides

3x + 20 = 5x

20 =5x - 3x

20 = 2x                              Divide by 2

20/2 = x

x = 10

5x - 8 = y

5(10) - 8 = y

y = 42

Answer:the answer is 53 900

Step-by-step explanation:

if you  you have to add subtract an then divid

Answer:

17

Step-by-step explanation:

Answer:

17 ;-; cant you use a ? calculator?

Step-by-step explanation:

Answer:

$30.47

Step-by-step explanation:

100%-15%=85%
85%=0.85
$35.85*0.85=30.47 (to 2d.p)
Hope this helps

the answer is

360 hoped that helped

Answer:

240

Step-by-step explanation:

600 x .6 = 360

600 - 360 = 240

(11) The measure of angle IGJ is  46⁰.

(12) The measure of arc JH is determined as 138⁰.

The measure of the arc or central angle indicated is calculated as follows;

(11) The measure of angle IGJ is calculated as follows;

m∠LGK =  arc angle LK (interior angle of intersecting secants)

m∠LGK = 48⁰

m∠HGI = m∠LGK = 48⁰ (vertical opposite angles are equal)

m∠IGJ + m∠HGI + m∠JGK = 180⁰  (sum of angles in a straight line)

m∠IGJ + 48⁰ + 86⁰ = 180

m∠IGJ = 180 - 134

m∠IGJ = 46⁰

(12) The measure of arc JH is calculated as follows;

arc JH = arc JI + arc IH

arc JI = arc FG

arc FG = 180 - 137⁰ (sum of angle in a straight line)

arc FG = 43⁰

arc FG = arc JI (vertical opposite angles are equal)

arc JH = arc JI + arc IH

arc JH = 43⁰ + 95⁰

arc JH = 138⁰

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The right triangle, like the other triangles, has three sides, three vertices, and three angles. The difference between the other triangles and the right triangle is that the right triangle has a 90  angle.

To find missing angles and sides and round to the nearest tenth, you can use different methods depending on the given information and the type of triangle or shape involved.

Some common methods include:
Trigonometric ratios (sine, cosine, tangent) for right triangles.
Angle sum property or exterior angle property for triangles.
Pythagorean theorem for right triangles.
Law of cosines and law of sines for non-right triangles.
To help find the missing angles and sides of a triangle, you need certain information about the triangle, such as known angle and side measurements, or information about the properties of the triangle.

Without this information, no concrete calculations can be made.

Provide the necessary information or describe the problem in more detail and we will help you find the missing corners and sides of the triangle and round it to tenths.

Remember to always check if any additional information is given, such as side lengths or angles ' 7 and to apply the appropriate formula or property to find the missing value.

Round your answer to the nearest tenth as specified.

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Complete question :

i put $100 in a savings account at v% yearly interest. How much money will i have in my account at the end of the year

Answer:

100 + v

Step-by-step explanation:

Given that:

Interest yearly = v%

Amount deposited = principal = $100

Amount earned at the end of the year:

A = P(1 + rt)

A = 100(1 + 0.01v)

A = 100 + v

Where A = final amount

Final amount at the end of the year = 100 + v

Answer:

We can start by isolating the variable "h".

5 8 h + 1 1 2 = 5

Subtracting 11/2 from both sides:

5 8 h = 5 - 1 1 2

Simplifying:

5 8 h = 8 1 2

Dividing both sides by 5/8:

h = 8 1 2 ÷ 5 8

Converting the mixed number to an improper fraction:

h = (8 x 8 + 1) ÷ 5 8

h = 65/8

Now, we can convert this fraction to a mixed number:

h = 8 1/8

Brigid has already picked for 8 1/8 hours, so the amount of time needed to pick the remaining strawberries is:

5 - (1 1/2 + 5/8 x 8) = 5 - (3 5/8) = 1 3/8

Therefore, Brigid still needs to pick for 1 3/8 hours to fill 5 bushels of strawberries. The answer is 1 and 3/8 hours or 2 and 3/16 hours (if simplified).

Step-by-step explanation:

Answer:

Consider the difference quotient formula.

f(x+h)−f(x) / h

Find the components of the definition.

g(x+h)=3h+3x−1

g(x)=3x−1

Plug in the components.

g(x+h)−gx / h = 3h+3x−1−(3x−1) / h

Simplify = 3

Answer:

Below in bold.

Step-by-step explanation:

On day 5 it ways 2(5) + 200 = 210 pounds.

On day 60 it ways 2(60) + 200 = 320 pounds.

Difference = 110 pounds.

Answer:

first step is to put the (x-9)^2 into a standard form which is y=x^2−18x+81 then choose two integers larger than the x-value of the vertex point.next choose two integers smaller than the x-value of the vertex point. lastly substitute these values in place of "x" in the equation and solve for "y".

Step-by-step explanation:

x | y

7 | 4

8 | 1

9 | 0

10 | 1

11 | 4

4=(11-9)^2

1=(10-9)^2

0=(9-9)^2

1=(8-9)^2

4=(7-9)^2

Answer:

x = 2.5 or -0.8

Step-by-step explanation:

Here, we are to use completing the square method to solve for the values of x

Firstly, we divide through by 4

= x^2 -7/4x -2 = 0

Now, we move the two term to the right hand side

x^2 -7/4x = 2

Now, we divide the coefficient of x by 2 and square it;

That would be;

(-7/4 * 1/2)^2 = 49/64

we now add this value to both sides of the equation

x^2 -7/4x + 49/64 = 2 + 49/64

The right hand side can be rewritten as;

(x-7/8)^2 = 177/64

taking the square root of both sides

x-7/8 = √(177/64)

x = 7/8 ± √(177/64)

x = 7/8 + √(177/74) or 7/8 - √(177/64)

= x = 2.53802 or -0.788017

Which to the nearest tenth is

x = 2.5 or -0.8

The Length and width of each pen is 6 feet by 8 feet. The 8 feet side is the adjacent side

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

Let x and y represent the length and width of the ship pen (or pig pen) since they have same area and y is the adjacent side. Since both pens are adjacent to each other, he has 48 feet of fencing to make the pens, hence:

Perimeter = x + x + y + x + x + y + y

48 = 4x + 3y

4x = 48 - 3y

x = 12 - (3/4)y

Area = (x + x)y

Area (A) = 2xy

substituting, x = 12 - (3/4)y:

A = 2(12 - (3/4)y)y

A = 24y - (3/2)y²

The maximum area is at A' = 0:

A' = 24 - 3y

24 - 3y = 0

3y = 24

y = 8 feet

x = 12 - (3/4)y = 12 - (3/4)(8) = 6 feet

The Length and width of each pen is 6 feet by 8 feet.

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Answer:

60 ft

Step-by-step explanation: