A phone company offers two monthly charge plans. In Plan A, there is no monthly fee, but the customer pays 9 cents per minute of use. In Plan B, the customer pays a monthly fee of 56.60 and then an additional 7 cents per minute of use.

For what amounts of monthly phone use will Plan A cost more than Plan B? Use m for the number of minutes of phone use in a month, and solve your inequality for m.

helpp​

The cost of each Child ticket is  £ 15

Total number of people = 54

Number of adults = 30

Number of Children = Total number of people - Number of adults

                                 = 54 - 30 = 24

Cost of each adult ticket =£ x

Cost of each Child ticket = £x-25

Total Cost of tickets = £1560

The total cost of tickets =( Number of adults * Cost of each adult ticket) + (Number of Children*Cost of each Child ticket)

1560 = (30*x) + (24*(x-25))

1560 = 30x + 24 x - 600

1560 + 600 = 54x

2160 = 54x

40 = x

Therefore,

The cost of each adult ticket is £ 40

The cost of each Child ticket is  £(x - 25) = £ 15

To learn more about Word Problems visit:

https://brainly.com/question/20560946

#SPJ1

(D) R’(3, 3), S’(9, 24), and T’(15, 3) set of points represents a dilation from the origin of triangle RST respectively.

Dilation means changing the size of an object without changing its shape.

The size of the object can be increased or decreased based on the scaling factor.

In mathematics, a dilation is a function f from a metric space M to itself that satisfies the identity d = rd for every point x,y \ in M.

Where d is the distance from x to y and r is a positive real number. In Euclidean space, such extensions are spatial similarities.

So, stretching from the origin is the same as multiplying all coordinates by a number.

Only D satisfies this. We know that we multiply all the coordinates by 3 to create this set of points.

Therefore, (D) R’(3, 3), S’(9, 24), and T’(15, 3) set of points represents a dilation from the origin of triangle RST respectively.

Know more about dilation here:

https://brainly.com/question/3457976

#SPJ1

Complete question:

Triangle RST has the coordinates R(1, 1), S(3, 8), and T(5, 1). Which of the following sets of points represents a dilation from the origin of triangle RST?

A. R’(3, 1), S’(3, 24), T’(15, 1)

B. R’(4, 4), S’(6, 11), T’(8, 4)

C. R’(3, 1), S’(9, 8), T’(15, 1)

D. R’(3, 3), S’(9, 24), T’(15, 3)

Answer:

Which of the following statements is true about the dataset below?

4, 2, 0, 3, 2, 1, 9, 6, 4, 5

The mean is 3.6

The median is 3.5

The mode is 2 and 4

Thus the statements that are true are:

The mean is larger than the median.

- The mean and the median are equal. This is not true because the mean is 3.6 while the median is 3.5.

- There is only one mode. This is incorrect because there are 2 modes, 2 and 4 both repeat twice.

- The median is larger than the mean. This is also incorrect because 3.5 is not bigger than 3.6.

Step-by-step explanation:

You're welcome.

Answer:

B.

Step-by-step explanation:

Divide ( x number of pages) by (x number of minutes) for all answers.

Day 1: 20 divided by 35= around 0.57 pg per minute

Day 2: 80 divided by 15= 5.3 pg per minute

Day 3: 46 divided by 65= around 0.70 pg per minute

Day 4: 35 divided by 26= 1.34 pg per minute.

Therefore, B is your answer!

Crown me brainliest pls!

The statements that describe the graph of f function are A) Asx → ∞, f(x) → -4 and C) The y-intercept is (0, -3).

Let's analyze the given function:

f(x) = 9(1/3)ˣ⁺² - 4

Now, let's analyze the properties of the graph:

A) As x → ∞, f(x) → -4.

As x → ∞, the exponential term ((1/3)ˣ⁺²) approaches 0, so f(x) = 9(0) - 4 = -4. This statement is correct.

B) As x → -∞, f(x) → -∞.

As x → -∞, the exponential term (1/3)ˣ⁺² approaches ∞, so f(x) = 9(∞) - 4 → ∞, not -∞. This statement is incorrect.

C) The y-intercept is (0, -3).

To find the y-intercept, we can plug x = 0 into the function:

f(0) = 9(1/3)ˣ⁺² - 4 = 9(1/9) - 4 = 1 - 4 = -3

The y-intercept is (0, -3), so this statement is correct.

D) The domain is {x | x > -2}

This is incorrect. The domain of the given function is all real numbers because there is no restriction on the value of x.

E) The range is the set of real numbers.

This is incorrect. The range of the given function is {y | y > -4} since the function approaches -4 as x goes to ∞, but never reaches -4, and it increases as x goes to -∞.

Learn more on graph functions here: https://brainly.com/question/29115560

#SPJ1

Image transcribed:

Identify the statements which describe the graph of f(x) = 9(1/3)ˣ⁺² - 4.

Select all that apply.

A) Asx → ∞, f(x) → -4.

B) Asx → -∞, f(x) →-∞.

C) The y-intercept is (0, -3).

D) The domain is {xlx > -2}

E) The range is the set of real numbers.

Answer:

-14

Step-by-step explanation:

Move 4y to the right side making the equation 5x=61+4y

Then divide both sides by 5 making the equation

5x/5 = 61/5 + 4y/5

x = 61 + 4y/5

Multiply both sides by 5 making the equation 61 + 4y = 5

Move 61 to the right side making it negative which makes the equation

4y = 5-61

Divide -56 by 4 because we moved the 4 to the right side

Answer for #1 will be -14

The other one I have no idea am sorry

The solution of the Equation is x= 9 and y= -3.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have Equation,

5x - 4y = 61

and, 3x + y= 23

Now, solving the above equation we get

5x + 12x = 61 + 92

17x = 153

x= 9

and, y = 23- 27 = -4

Learn more about Equation here:

https://brainly.com/question/29657983

#SPJ5

The probability that the average number of months since the last examination in a sample of 150 patients is 14 or larger is practically 0, which means it is highly unlikely to occur by chance.

Now that we know the mean and standard deviation of the distribution of the sample mean, we can standardize the variable using the standard normal distribution formula:

Z = (x - μ) / (σ/√n)

where Z is the standard normal variable, x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

Substituting the values we obtained, we get:

Z = (14 - 12) / (0.237)

Z = 8.43

To find the probability that the sample mean is 14 or larger, we need to find the area under the standard normal distribution curve to the right of Z = 8.43.

This can be done using a standard normal distribution table or a calculator. The probability turns out to be practically 0.

To know more about average here

https://brainly.com/question/16956746

#SPJ4

Answer:

$20

Step-by-step explanation:

Answer: i can answer the first one but the second one i might get wrong

Step-by-step explanation:

for the first question answer B because external lights do not help unless it is dark, you need your battery to start the car and your fluids to keep the car running, your windshield's keep the raid and weather from entering your car as well as stopping you from flying out the window. Your mirrors help you keep track of whats behind you and showing you if you have enough space to turn.

now for the second question i would say in the manual of your car because every car has a manual to read on how to work the car/fix it

The required perimeter of the given triangle EFG is 25.7 units.

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes.

Triangle ABC is the designation for a triangle with vertices A, B, and C.

In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

The easiest approach I've found to know for sure if an angle is 90 degrees is to use the 3:4:5 triangle.

So, the formula that will be used here would be:

d = √(y₂-y₁)²+(x₂-x₁)²

Get EF:

E(-8,1) = (x1, y1)

F(1,1) = (x2, y2)

Substitute the values:

EF = √[(1−(−8))² + (1−1)²]

EF = √[(9)² + (0)²]

EF = √81

EF = 9 units

Get FG:

F(1,1) = (x1, y1)

G(-3,8) = (x2, y2)

Insert the values as follows:

FG = √[(−3−1)² + (8−1)²]

FG = √[(−4)² + (7)²]

FG = √65

FG ≈ 8.1 units

Obtain EG:

E(-8,1) = (x1, y1)

G(-3,8) = (x2, y2)

Insert the values:

EG = √[(−3−(−8))² + (8−1)²]

EG = √[(5)² + (7)²]

EG = √74

EG ≈ 8.6 units

Perimeter of triangle EFG = 9 + 8.1 + 8.6

The perimeter of triangle EFG = 25.7 units

Therefore, the required perimeter of the given triangle EFG is 25.7 units.

Know more about triangles here:

https://brainly.com/question/17335144

#SPJ1

Correct question:

The points E(-8,1)(−8,1), F(1,1)(1,1), and G(-3,8)(−3,8) form a triangle. Plot the points then click the "Graph Triangle" button. Then find the perimeter of the triangle. Round your answer to the nearest tenth if necessary. NO NEED TO PLOT THE POINTS JUST FIND THE PERIMETER...

Answer:

b

Step-by-step explanation:

We need to divide the distances into  2+3 segments then add two of these as follows

for x   from   -5 to 6 is +11   divide by 5  = +11/5  add two of these to -5 to get   x = -0.6

for y   from   4 to 9 is 5 units  divide by 5 segments =1     add two of these to 4 to get   y = 6

Answer:

B

Step-by-step explanation:

1. Add the nine over on the k side. So it will be 9+k

2. Divide both sides by 4.

4x-9=k

4x=9+k

x=k+9/4

:)

Answer:

the graph that shows the solution to the system of linear equations is the coordinate plane with one line that passes through the points 0,0 and -6,-2, and another line that passes through the points 3,1 and the origin (0,0).

Step-by-step explanation:

The system of linear equations can be written as:

y = (1/3)x

x + 3y = -6

To graph the system, we can graph each equation and find the point of intersection of the two lines.

The first equation y = (1/3)x has a slope of 1/3 and passes through the origin (0,0).

The second equation can be written as:

y = (-1/3)x - 2

This has a slope of -1/3 and y-intercept of -2.

To graph the system, we can plot the points (0,0) and (-6,-2) and draw a line through them. This is the graph of the second equation.

To graph the first equation, we can plot the point (3,1) and use the slope of 1/3 to draw a line passing through the origin.

The graphs of the two equations intersect at the point (-3,-1).

Therefore, the graph that shows the solution to the system of linear equations is the coordinate plane with one line that passes through the points 0,0 and -6,-2, and another line that passes through the points 3,1 and the origin (0,0).

We can conclude after answering the provided question that Therefore, expression the final answer is [tex]-2x^3 + x + 1.[/tex]

An expression in mathematics is a collection of representations, digits, and transnational corporations that depict a significant correlation or regimen. A real number, a mutable, or a combo of the two can be used as an expression. Mathematical operators include addition, subtraction, rapid spread, polarisation, and exponentiation. Arithmetic, arithmetic, and shape all make full use of manifestations. They are used in the representation of mathematical formulas, the solution of equations, and the simplification of mathematical relationships.

[tex]1/x - 1 = (1 - x)/x\\1/x + 1 = (1 + x)/x\\(x^2 - 1) [(1 - x)/x - (1 + x)/x + 1]\\(x^2 - 1) [(-2x)/x + 1]\\(x^2 - 1) (1 - 2x)\\x^2 - 2x^3 - 1 + 2x\\-2x^3 + x + 1\\[/tex]

Therefore, the final answer is [tex]-2x^3 + x + 1.[/tex]

To know more about expression visit :-

https://brainly.com/question/14083225

#SPJ1

Answer:

tesla: y = 25x + 50

acdc: y = 50x

Step-by-step explanation:

Probability distribution after two battles: Dark 1/3, Psychic 1/3, Fighting 1/3 Steady-state probability distribution: Dark 1/3, Psychic 1/3, Fighting 1/3. Probability distribution after two battles: Dark 1/4, Psychic 1/4, Fighting 1/4, Ghost 1/4. Steady-state probability distribution: Dark 1/6, Psychic 1/6, Fighting 1/2, Ghost 1/6

If Kecleon starts as the Fighting type and battles twice, the probability distribution of Kecleon's type is (1/3, 1/3, 1/3).

After many battles, the steady-state probability distribution of Kecleon's type is (1/3, 1/3, 1/3). This is because Kecleon has an equal chance of winning and losing battles against each of the other types, and so over time its type will converge to a uniform distribution.

If Kecleon starts as the Fighting type when Ghost Pokémon arrive and battles twice, the probability distribution of Kecleon's type is (1/4, 1/4, 1/4, 1/4).

After many battles, the steady-state probability distribution of Kecleon's type is (1/6, 1/6, 1/2, 1/6). This is because the presence of Ghost Pokémon alters the dynamics of the battles, causing Kecleon's type to converge to a non-uniform distribution where it is more likely to become a Psychic type due to the dominance of Ghost-type Pokémon over Fighting and Dark types.

To know more about Probability distribution:

https://brainly.com/question/11234923

#SPJ4

--The given question is incomplete, the complete question is given

" In a particular region of the Pokémon world, there are just three types of Pokémon: Dark, Psychic, and Fighting. Kecleon, the Color Change Pokémon, has the ability to change its type to blend into its surroundings. Its goal is to become the best type. It seeks to accomplish this goal by choosing a type of Pokémon to battle uniformly at random; it may choose a Pokémon of its own type. If it wins the battle, it will keep its old type. If it loses, it will take on the type of the Pokémon that defeated it. It continues this process indefinitely. For all questions assume that Dark Pokémon always defeat Psychic Pokémon, Psy- chic Pokémon always defeat Fighting Pokémon, and Fighting Pokémon always defeat Dark Pokémon. If two Pokémon of the same type battle, each has an equal chance of winning. a) Suppose that Kecleon starts as the Fighting type. After two battles, what is the probability distribution of Kecleon's type? (Your answer should be three numbers that sum to one.) b) After many (approaching infinity) battles, what is the steady-state probability distribution of Kecleon's type? (Your answer should be three numbers that sum to one.) A nearby graveyard is haunted! Ghost-type Pokemon invade the population. Assume that Ghost Pokémon always lose to Dark Pokémon, and always win against Psychic Pokémon and Fighting Pokémon. c) Suppose that Kecleon starts as the Fighting type when the Ghost Pokémon arrive. After two battles, what is the probability distribution of Kecleon's type? (Your answer should be four numbers that sum to one.) d) After many (approaching infinity) battles, what is the steady-state probability distribution of Kecleon's type? (Your answer should be four numbers that sum to one.)"--

Answer:

mAngleB = 172°

Step-by-step explanation:

"vertical angles" means that the angles are equal to each other.

We can write an equation:

7x + 4 = 8x - 20

subtract 7x from both sides.

4 = x - 20

add 20 to both sides

24 = x

Then, the question asks for the measure of AngleB.

AngleB

= 8x - 20

= 8(24) - 20

= 192 - 20

= 172

mAngleB = 172°

Answer:

a) 10^4/4^10

Step-by-step explanation:

10^-2 = 1/10^2

4^5 x 1/10^2 = 4^5/10^2

(4^5/10^2)^-2 = (10^2/4^5)^2 = 10^4/4^10

The exponential model for the data is y = 153.07 ⋅ 0.93ˣ and the pulse rate after 16 minutes is 47.93

Given that

X: 0, 2,4,6,8,10,12

Y: 172,132,110,92,84,78,75

Using a graphing calculator to find an exponential model, we have

y = 153.07 ⋅ 0.93ˣ

When the number of minutes is 16, we have

y = 153.07 ⋅ 0.93¹⁶

Evaluate

y = 47.93

Hence, the pulse rate after 16 minutes is 47.93

Read more about exponential model at

https://brainly.com/question/2456547

#SPJ1

logarithmic function f(x) = log4(x) related to the exponential function x f(x) = 4x -2 f(-2) = 4-2 = (1/4)2 = 1/16 -1 f(-1) = 4-1 = (1/4)1 = 1/4 0 f(0) = 40 = 1 1 f(1) = 41 = 4 2 f(2) = 42 = 16

Logarithm Function

x g(x) = log4x

1/16 g(1/16) = log4(1/16) = log4(1/4)2 = log4(4)-2 = -2(log44) = -2(1) = -2

1/4 g(1/4) = log4(1/4) = log4(1/4)1 = log4(4)-1 = -1(log44) = -1(1) = -1

1 g(1) = log4(1) = log4(4)0 = 0(log44) = 0(1) = 0

4 g(4) = log4(4) = log4(4)1 = 1(log44) = 1(1) = 1

16 g(16) = log4(16) = log4(4)2 = 2(log44) = 2(1) = 2

In math, the logarithm is the opposite capability of exponentiation. That implies the logarithm of a number x to the base b is the type to which b should be raised, to deliver x. For instance, beginning around 1000 = 103, the logarithm base 10 of 1000 is 3, or log10 (1000) = 3. The logarithm of x to base b is meant as log (x), or without enclosures, log x, or even without the express base, log x, when no disarray is conceivable, or when the base doesn't make any difference like in huge O documentation.

to know more about the logarithm function click here:

https://brainly.com/question/13473114

#SPJ4

James will be flying a total of 85,680 miles in the next year.

To find out how many miles James will be flying in the next year, we need to multiply the distance of one round trip by the number of round trips he will make in a year.

The distance of one round trip is twice the one-way distance, so:

2 x 2,856 miles = 5,712 miles per round trip

Since James will make 15 round trips in a year, we can multiply the distance of one round trip by 15:

5,712 miles/round trip x 15 round trips = 85,680 miles

Therefore, James will be flying a total of 85,680 miles in the next year.
To know more about miles go through:-
https://brainly.com/question/29806974
#SPJ9

1) the solution to the original inequality f(4x-3) ≥ f(2-x²), given that f is increasing over its domain (-8, 4), is x ≥ 1.

2) the solution to the original inequality g(3² - 2x) ≥ g(3x - 2), given that g is decreasing over its domain (-∞, ∞), is x ≥ 11/5.

Since f is an increasing function over its domain, if a < b, then f(a) < f(b).

We are given the inequality:

f(4x-3) ≥ f(2-x²)

Since f is increasing, this is equivalent to:

4x-3 ≤2-x²

Simplifying, we get:

x² + 4x - 5 ≥ 0

We can factor this inequality as:

(x + 5)(x - 1) ≥ 0

The solutions are x ≤ -5 or x >= 1.

However, we need to ensure that these solutions are within the domain of the function, which is given as (-8, 4).

The solution x ≤ -5 is not within the domain, so we can discard it. Therefore, the solution to the inequality is:

x ≥ 1

To summarize:

f(4x-3) ≥ f(2-x²) is equivalent to x² + 4x - 5 ≥ 0

The solution to x² + 4x - 5 ≥ 0 is x ≥ 1.

Therefore, the solution to the original inequality f(4x-3) ≥ f(2-x²), given that f is increasing over its domain (-8, 4), is x ≥ 1.

2)
Since g is a decreasing function over its domain, if a < b, then g(a) > g(b).

We are given the inequality:

g(3² - 2x) ≥ g(3x - 2)

Since g is decreasing, this is equivalent to:

3² - 2x ≤ 3x - 2

Simplifying, we get:

11 ≤ 5x

The solution is x ≥ 11/5.

To summarize:

g(3² - 2x) ≥ g(3x - 2) is equivalent to 11 ≤ 5x.

The solution to 11 ≤ 5x is x ≥ 11/5.

Therefore, the solution to the original inequality g(3² - 2x) ≥ g(3x - 2), given that g is decreasing over its domain (-∞, ∞), is x ≥ 11/5.

Learn more about inequality at:

https://brainly.com/question/20383699

#SPJ1

The value of x in the right triangle is  4√2 units.

Similar triangles are the triangles that have corresponding sides in ratio to each other and corresponding angles congruent to each other.

Therefore, the triangles are similar. Let's use this similarity to find the value of x in the triangles.

Hence, using proportion,

x / 8 = 4 / x

cross multiply

x² = 8 × 4

x² = 32

square root both sides of the equation

x = √32

x = √16 × 2

x = 4√2 units

learn more on similar triangles here: brainly.com/question/28966438

#SPJ1

Therefore , the solution of the given problem of percentage comes out to be invested now is $9,017.67. The response is (B).

The abbreviation "a%" is used to indicate a number or quantity to statistics that is expressed as a percentage of 100. Versions containing the characters "pct," "pct," and "pc" are also rare. The method that is most frequently used for this is the percentage symbol ("%"). Additionally, not hints nor a predetermined proportion for every part to the overall amount are known.

Here,

To calculate the present worth, we can use the compound interest formula:

=> P = A / (1 + r/n)^(n*t)

where P is the value in the present, A is the value in the future, r is the interest rate per year, n is the number of times the interest is multiplied annually, and t is the amount of time in years.

A = $12,868.21, r = 6.1%, n = 1 (compound annually), and t = 7 years in this instance. When these numbers are added to the formula, we obtain:

=>  P = 12,868.21 / (1 + 0.061/1)⁷

=>  P = 12,868.21 / (1.061)⁷

=>  P = $9,017.67

In order to amass $12,868.21 at a compound annual interest rate of 6.1% over a period of seven years,

the present value that should be invested now is $9,017.67. The response is (B).

To know more about percentage visit:

https://brainly.com/question/28269290

#SPJ1

The table shows the multiplication of two linear expressions and the subsequent simplification and standard form conversion. The reasons given are the input expressions,  Distributive property, Associative Property, simplification to standard form conversion. So, the correct option answer for reason 1, 2, 3 and 3 are B, C, A and D respectively.

The table shows the multiplication of two linear expressions is

Step Step

1      (1/4)x(5x-1)

2      (1/4)x(5x)+(1/4)x(-1)

3      (1/4)(5x^2)+(-1/4)x

4      (5/4)x^2+(-1/4)x

Reason 1: The multiplication of two linear expressions is given in the first column for each step.

Reason 2: The given linear expressions are rearranged in the second column for each step. It is Distributive Property.

Reason 3: The rearranged expressions in the second column are simplified using algebraic operations. It is  Associative Property.

Reason 4: The simplified expressions in the second column are written in the standard form of a quadratic polynomial.

So, the correct order of options for reason 1, 2, 3 and 3 are B, C, A and D respectively.

To know more about multiplication of linear expressions:

https://brainly.com/question/29235228

#SPJ4

_____The given question is incomplete, the complete question is given below:

A 2-column table with 5 rows. First column is labeled Step with entries one-fourth x (5 x minus 1), (one-fourth x) (5 x) + (one-fourth x)(negative 1), one-fourth times 5 times x times x + (negative 1) times one-fourth times x, (one-fourth times 5) (x times x) + (negative 1 times one-fourth) x, 5 over 4 x squared minus one-fourth x. Second column is labeled Reason with entries given, 1, 2, 3, 4. The table shows the multiplication of two linear expressions. Select the correct reason for each step. Reason 1:

Reason 2:

Reason 3:

Reason 4:

(A)associative property of multiplication

(B)multiplication

(C)Distributive property

(D) simplify

The required perimeter of the given figure is 68 units.

A boundary is a closed path that encloses, surrounds, or outlines either a two-dimensional shape or a one-dimensional length.

The circumference of a circle or ellipse is called the perimeter.

Perimeter calculations have several practical applications.

Perimeter is the distance around the object.

For example, your house has a fenced garden.

The perimeter is the length of the fence.

If the yard is 50 feet by 50 feet, the fence length will be 200 feet.

So, the perimeter of the given figure:

= 10 + 4 + 2 + 12 + 6 + 6 + 6 + 2 + 12 + 4 + 4

= 68 units

Therefore, the required perimeter of the given figure is 68 units.

Know more about the perimeter here:
https://brainly.com/question/19819849

#SPJ1

Complete question:

Use the figure below to answer the following questions. NOT TO SCALE!

10

12

POSSIBLE POINTS A

Give the perimeter of the figure.

Answer: Correct me if I'm wrong but it should be about 1/4th of a meter

Answer:

It earned $60 in interest

Step-by-step explanation: