I need help with this question im a lil special

I Need Help With This Question Im A Lil Special

Answers

Answer 1

The value of t such that function f(t) = 19 is -5.

Equations

We have the function f(t) = -3t + 4.

To find the value of t such that f(t) = 19, we need to solve the equation:

-3t + 4 = 19

-3t = 15

t = -5

What is a function?

A function in mathematics is a relationship between two sets of inputs—the domain and the range—with the characteristic that each input is associated to exactly one output.

A function is, more precisely, a collection of ordered pairs (x, y) where each value of x is paired with exactly one value of y. Because the output value depends on the input value, it is also known as the dependent variable, whereas the input value, x, is known as the independent variable.

The function notation f(x), where f is the function's name and x is the input value, is a common way to express functions.

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Related Questions

14. When finding the volume of prisms and pyramids, a unit cube can be used. Why is a unit sphere not a good unit of volume measurement for all spheres?​

Answers

Therefore, for spheres of different sizes, we need to use different measuring units, unlike prisms and pyramids, where a unit cube can be used as a standard unit for all shapes with the same base and height.

What is volume?

Volume is a measure of the amount of space occupied by a three-dimensional object. It is the measure of the total amount of space that an object takes up. The standard unit of volume is the cubic meter (m³) in the International System of Units (SI), but other units such as cubic centimeters (cm³) and cubic inches (in³) are also commonly used. The volume of an object can be calculated using different formulas depending on its shape and dimensions.

Here,

A unit sphere is not a good unit of volume measurement for all spheres because spheres come in various sizes and diameters. The unit sphere has a radius of 1, and while it can be used to measure the volume of spheres with radii equal to 1, it cannot be used to measure the volume of spheres with different radii.

For example, if we want to find the volume of a sphere with a radius of 2, we cannot use the unit sphere as a measuring unit. Instead, we would need to use a larger sphere with a radius of 2 as our measuring unit.

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a family trip to washington d.c considers the following scenarios: transportation (plane, car, train) and weather conditions (sunny, windy, rainy, cloudy). how many different combinations are possible?

Answers

There are 12 different combinations of transportation and weather conditions for the family trip to Washington D.C.

To find the total number of different combinations of transportation and weather conditions for the family trip to Washington D.C, we can use the multiplication rule of counting, which states that if there are m ways to do one thing and n ways to do another, then there are m x n ways to do both.

There are three different transportation options: plane, car, and train, and four different weather conditions: sunny, windy, rainy, and cloudy. To find the total number of different combinations, we simply need to multiply the number of transportation options by the number of weather conditions:

Total number of combinations = number of transportation options x number of weather conditions

Total number of combinations = 3 x 4

Total number of combinations = 12

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two eggs and two pieces of bacon have a total of 22 grams of fat. two eggs and four pieces of bacon have a total of 32 grams of fat. how many grams of fat are in each?

Answers

We can solve the given system of equations to find how many grams of fat are in each when two eggs and two pieces of bacon have a total of 22 grams of fat and two eggs and four pieces of bacon have a total of 32 grams of fat.

Step-by-step explanation:

Let's consider that each piece of bacon has "x" grams of fat and each egg has "y" grams of fat.

From the given information, we can form two equations as follows:

Equation 1: 2x + 2y = 22 (when two eggs and two pieces of bacon have a total of 22 grams of fat)

Equation 2: 4x + 2y = 32  (when two eggs and four pieces of bacon have a total of 32 grams of fat)

To solve for "x" and "y", let's perform elimination by multiplying Equation 1 by (-2) and adding it to Equation 2.

-4x - 4y = -44  (multiply Equation 1 by -2)
+ 4x + 2y = 32  (Equation 2)

-2y = -12

y = 6

Substitute the value of "y" in Equation 1 or 2 to solve for "x":

2x + 2y = 22

2x + 2(6) = 22

2x = 10

x = 5

Therefore, each piece of bacon has 5 grams of fat and each egg has 6 grams of fat.

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PLEASE HELP FAST (giving brainliest)

Answers

Answer:

Answer is B The data is asymetrical.

Step-by-step explanation:

In ΔSTU, u = 980 inches, t = 700 inches and ∠T=161°. Find all possible values of ∠U, to the nearest degree.

Answers

Answer:<U=27.1

Step-by-step explanation:

undoing the law of sines to find <U:

[tex]\frac{sin161}{700} =\frac{sinU}{980}[/tex]

[tex]sin U 700=980sin161[/tex]

[tex]Sin U =\frac{980sin161}{700}[/tex]

[tex]< U=27.1[/tex]

An instrument that can be used to measure height,age and shoe size of learners

Answers

A stadiometer can be used to measure height, age, and shoe size of learners. It is a simple device consisting of a ruler mounted on a vertical board, and the measurements can be taken in the Frankfort Plane position.

An instrument that can be used to measure height, age, and shoe size of learners is a stadiometer. A stadiometer is a device designed to measure the height of an individual, typically from the floor to the crown of the head. It consists of a ruler, graduated in metric or imperial units, mounted on a vertical board. To measure a person's height, they must stand against the board with their feet together and their head in the Frankfort Plane. The Frankfort Plane is an imaginary line running from the top of the ears to the bottom of the eyes. Once the person is standing in this position, the height is read off the ruler and recorded.

In addition to height measurement, a stadiometer can also be used to measure age and shoe size of learners. To measure age, the stadiometer must be calibrated with the average height of the population by age. Then, when the person is standing in the Frankfort Plane position, their age can be read off the ruler. To measure shoe size, the stadiometer must be calibrated with the average height of a person with a certain shoe size. Once the person is standing in the Frankfort Plane position, their shoe size can be read off the ruler.

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The prism-shaped roof has equilateral triangular bases. Use the model you created in question #1 to calculate the height of the roof, to the nearest tenth of a foot, if the side lengths each measure 25 feet. In your final answer, include all necessary calculations. You may include a sketch as part of your work

Answers

The height of the roof is approximately 21.6 feet, to the nearest tenth of a foot.

To calculate the height of the roof, we need to use the formula for the volume of a prism with a triangular base. This is given by V = 1/3 B h, where B is the area of the base and h is the height of the prism.
In this case, we know that the base is an equilateral triangle with side length 25 feet. The area of an equilateral triangle with side length s is given by A = √3/4 s². Therefore, the area of the base of the prism is:
B = √3/4 (25 ft)²
B = 25√3/4 ft²
Now, we need to use the model to determine the height of the prism. We can do this by measuring the height of one of the triangular faces. The model is not provided, so I cannot provide specific measurements. However, we can use the Pythagorean theorem to relate the height of the triangular face to the height of the prism:
h² = (25 ft)² - (1/2 s)²
h² = 625 ft² - (1/2 (25 ft))²
h² = 625 ft² - 156.25 ft²
h² = 468.75 ft²
h ≈ 21.6 ft
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Help please, I will give brainiest


Type the correct answer in each box. Round your answers to the nearest hundredth.

City Cat Dog

Lhasa Apso Mastiff Chihuahua Collie

Austin 24. 50% 2. 76% 2. 86% 3. 44% 2. 65%

Baltimore 19. 90% 3. 37% 3. 22% 3. 31% 2. 85%

Charlotte 33. 70% 3. 25% 3. 17% 2. 89% 3. 33%

St. Louis 43. 80% 2. 65% 2. 46% 3. 67% 2. 91%

Salt Lake City 28. 90% 2. 85% 2. 78% 2. 96% 2. 46%

Orlando 37. 60% 3. 33% 3. 41% 3. 45% 2. 78%

Total 22. 90% 2. 91% 2. 68% 3. 09% 2. 58%

The table gives the probabilities that orphaned pets in animal shelters in six cities are one of the types listed.


The probability that a randomly selected orphan pet in an animal shelter in Austin is a dog is ______%. The probability that a randomly selected orphaned dog in the same animal shelter in Austin is a Chihuahua is ______%

Answers

The probability that a randomly selected orphan pet in an animal shelter in Austin is a dog is 11.71%. The probability that a randomly selected orphaned dog in the same animal shelter in Austin is a Chihuahua is 29.37%.

The probability that a haphazardly chosen vagrant pet in a creature covered in Austin is a canine is 11.71%.

The probability that a haphazardly chosen stranded canine in a similar creature cover in Austin is a Chihuahua is 29.37% .

2.76% + 2.86% + 3.44% + 2.65% = 11.71%

11.71/3.44 = .2937

.2937 = 29.37%

Probability is just the way that logical something is to occur.

Whenever we're uncertain about the result of an occasion, we can discuss the probabilities of specific results — how likely they are. The investigation of occasions represented by probability is called statistics.

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Can You fail 5th grade elementary? i have a 68 in math and im scared

Answers

Answer: I mean technically no. grades don't really matter until high school. You can get held back but that's up to your parents if you do

answer:

probobly not because it can also depend on the fsa or fast test u have to take but a 68 is not bad its a d+ really close to 70 so i dont think u will dont worry.

a supply container dropped from an aircraft by parachute hits a target with a probability of 0.37. (a) what is the expected number of container drops needed to hit a target?

Answers

The given probability is 0.37 which is the probability of a supply container dropped from an aircraft by a parachute hitting a target. So the expected number of container drops needed to hit a target is approximately 2.7027.

       

       To find out the expected number of container drops needed to hit a target, we can use the formula given below;            

                      E(X) = (1/p) E(X)

                             = (1/0.37)E(X)

                             = 2.7027

          Thus, the expected number of container drops needed to hit a target is approximately 2.7027.

An expected value is a statistical concept that represents the theoretical average value of a random variable. It is represented as E(X).

            The expected value is calculated by multiplying each possible value of the random variable by its probability and then adding all of the products.

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What is √45 rounded to the nearest whole number

Answers

exact form: 3√5

decimal form: 6.70820393…

nearest whole number: 7

Answer:

3√5

Step-by-step explanation:

Assume that TDW Corporation (calendar year-end) has 2022 taxable income of $650,000 for purposes of computing the §179 expense. The company acquired the following assets during 2022: (Use MACRS Table 1, Table 2, Table 3, Table 4 and Table 5. ) Asset Placed in Service Basis Machinery September 12 $ 2,270,000 Computer equipment February 10 263,000 Furniture April 2 880,000 Total $ 3,413,000 a. What is the maximum amount of §179 expense TDW may deduct for 2022?

Answers

The maximum amount of §179 expense TDW may deduct for 2022 is $257,000.

To determine the maximum amount of §179 expense that TDW Corporation can deduct for 2022, we first Add up the cost of all the assets acquired in 2022:

$2,270,000 (machinery) + $263,000 (computer equipment) + $880,000 (furniture) = $3,413,000

Now we determine the amount of the §179 deduction limit for the tax year.

For tax year 2022, the §179 deduction limit is $1,050,000.

Check if the cost of the assets exceeds the §179 deduction limit.

Since the cost of the assets ($3,413,000) is greater than the §179 deduction limit ($1,050,000), we need to calculate the phase-out limit.

Now we determine the phase-out limit.

For tax year 2022, the phase-out limit is $2,620,000.

Calculate the §179 expense deduction.

Since the cost of the assets ($3,413,000) is greater than the phase-out limit ($2,620,000), we need to reduce the §179 deduction by the excess over the phase-out limit.

The excess over the phase-out limit is $793,000 ($3,413,000 - $2,620,000).

The §179 expense deduction is the lesser of the §179 deduction limit and the cost of the assets reduced by the excess over the phase-out limit.

The §179 expense deduction is $1,050,000 - $793,000 = $257,000.

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what is x2=20 show your work

Answers

Answer:

x=10

Step-by-step explanation:

x2=20

2*x=20

2*10=20

so, x=10

The amount A, in milligrams, of a 10-milligram dose of a drug remaining in the body after t hours
is given by the formula A = 10(08)t Find, to the nearest tenth of an hour, how long it takes for half
of the drug dose to be left in the body.

Answers

It takes 3.1 hour  for half of the drug dose to be left in the body.

Milligram

In the metric system the unit measurement of mass is known as mg .

mg is equal to one thousandth of a gram ie.1/1000. The unit is often used in medical field for weighing out small quantities of  ingredients.

prons

it is precise and it can be used to measure small quantities of items.

It is easy to convert mg to other units of measure.

cons:

It is a very small unit of measurement, it is difficult to measure the values accurately.

It is also a very commonly used unit of measurement, it get easily  confuse with other units

10*1/2=10(0.8)^t

0.8^t=1/2

t=log0.8*1/2

t=3.1

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Find the area of a 2.5-by-2.5 square by splitting it into unit squares.

Answers

The area of 2.5 by 2.5 square is given as follows:

6.25 square units.

How to obtain the area of a square?

The area of a square of side length s is given by the square of the side length, as follows:

A = s².

For this problem, we have 2.5 by 2.5 square, hence the side lengths are given as follows:

s = 2.5.

Then the area of 2.5 by 2.5 square is obtained applying the formula as follows:

A = 2.5²

A = 6.25 square units.

This means that the entire 2.5-by-2.5 square can be divided into 6.25 unit squares, in which each of them would have a side length of one unit.

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Consider the following hypothetical survey results of 18- to 34-year-olds in a certain country, in response to the question "Are you currently living with your family.


Yes No Totals

Men 106 141 247

Women 92 161 253

Totals 198 302 500


a. Develop the joint probability table for these data and use it to answer the following questions

b. What are the marginal probabilities?

c. What is the probability of living with family given you are an 18- to 34-year-old marn in the U. S. ?

d. What is the probability of living with family given you are an 18- to 34-year-old woman in the U. S. ?

e. What is the probability of an 18- to 34-year-old in the U. S. Living with family?

f. If, in the U. S. , 49. 4% of 18-to 34-year-olds are male, do you consider this a good representative sample? Why?

Answers

After considering the following hypothetical survey results of 18- to 34-year-olds in a certain country, in response to the question "Are you currently living with your family?" we get the following probabilities.

a. The joint probability table for the given data is:

             Yes      No      Totals

Men          0.212   0.282   0.494

Women        0.184   0.322   0.506

Totals       0.396   0.604   1

b. The marginal probabilities for living with family and not living with family are:

                 Yes No

Men        0.212 0.282

Women 0.184 0.322

Totals 0.396 0.604

c. The probability of living with family given you are an 18- to 34-year-old man in the U.S. is 0.212/0.396 = 0.5354 or approximately 53.54%.

d. The probability of living with family given you are an 18- to 34-year-old woman in the U.S. is 0.184/0.506 = 0.3636 or approximately 36.36%.

e. The probability of an 18- to 34-year-old in the U.S. living with family is 0.396 or 39.6%.

f. We cannot determine whether the sample is representative solely based on the percentage of males in the survey.

A good representative sample should be randomly selected to accurately reflect the population being studied. The percentage of males in the sample is relevant only if it differs significantly from the percentage of males in the population being studied.

The joint probability table was developed for the survey results of 18- to 34-year-olds on living with family. Marginal probabilities were calculated and the probability of living with the family was found for both men and women. The overall probability of living with the family was also determined. It is unclear if the sample is representative without additional information.

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Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2, select the statement that could be true for h.
A. h(-3) = -1
B. h(13) = 18
C. h(2) = 16
D. h(8) = 21

Answers

The statement that could be true for h for given function is Option C  h(2) = 16 is correct.

What is Domain?

The set of all potential values for the independent variable (typically designated as x) for which the function is specified is known as the domain of a function. In other terms, it refers to the entire set of input values for which a function returns a result.

We can state that for any value of x between -3 and 11, the corresponding value of h(x) will be between 1 and 25 because the function h has a domain of -3 x 11 and a range of 1 h(x) 25.

Indicates that the function h is not fixed and that its values change depending on the value of x.

Now, evaluate your options:

Option A h(-3) = -1 - This statement is false because the range of h(x) is stated to be between 1 and 25, so h(-3) cannot be less than 1.

OptionB h(13) = 18 - This statement cannot be true because h(x) is specified to have a range between -3 and 11, so h(13) is not defined.

OptionC h(2) = 16 - The statement may be accurate given that the value of h(x) for any x between -3 and 11 could range from 1 to 25, and there is no evidence to the contrary.

OptionD h(8) = 21 - Since we know that h(8) = 19, this assertion is false.

Therefore, the statement that could be true for h is: h(2) = 16

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Help me please on the linear function from a table

Answers

The missing numbers to complete the linear equation that gives the rule for this table are y = 11x-10

Describe Linear Equation?

A linear equation is an equation that describes a line in a two-dimensional coordinate system. It can be written in the form:

y = mx + b

where y and x are variables representing coordinates on the vertical and horizontal axes, respectively, m is the slope of the line, and b is the y-intercept (the point where the line crosses the y-axis).

The slope of the line represents the rate of change between y and x, or the steepness of the line. A positive slope indicates that the line is increasing from left to right, while a negative slope indicates that the line is decreasing from left to right. A slope of zero indicates a horizontal line, while a slope that is undefined (such as when x is constant) indicates a vertical line.

To find the equation that gives the rule for this table, we need to determine the slope and y-intercept of the line that passes through these points.

We can start by using the two given points (4, 34) and (5, 45) to find the slope:

slope = (change in y) / (change in x)

slope = (45 - 34) / (5 - 4)

slope = 11

Now we can use the point-slope form of a linear equation to write the equation for this line, using the point (4, 34):

y - 34 = 11(x - 4)

Simplifying this equation gives:

y = 11x - 10

So the missing numbers to complete the linear equation that gives the rule for this table are:

y = 11x-10

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Yooooo please help me out with this math

Answers

I would say B. 4n+2=15

The baker receives an order of 80 chocolate pies for a community festival. The baker needs 3 cups of milk to make each pie. How much milk, in gallons, is needed to make the 80 pies for the festival?

Answers

the baker needs 15 gallons of milk to make 80 chocolate pies for the community festival. To find out how much milk is needed to make 80 chocolate pies, we need to first determine the total amount of milk required for one chocolate pie. We know that the baker needs 3 cups of milk to make one chocolate pie.

To convert cups to gallons, we need to divide by 16 since there are 16 cups in a gallon. So, one chocolate pie requires 3/16 gallons of milk.

To find out how much milk is needed to make 80 chocolate pies, we can multiply the amount of milk required for one pie by the number of pies. This gives us:

(3/16) gallons of milk per pie x 80 pies = 15 gallons of milk

Therefore, the baker needs 15 gallons of milk to make 80 chocolate pies for the community festival.

It's important to make sure we convert units correctly when solving these types of problems. In this case, we had to convert cups to gallons to make sure we were using the same unit of measurement for both the amount of milk needed for one pie and the total amount needed for 80 pies. By following these steps, we can accurately determine the amount of ingredients needed to fulfill an order, which is important for bakers and other food service professionals.

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PLS HELP (SORRY I KEEP ASKING QUESTIONS I HATE MATH SO I DONT RLLY PAY ATTENTION THAT WELL)

Answers

The graph shows that the rise is 3 and the run is 3, and the hypotenuse is the length between the two points.

let hypotenuse = x

using Pythagorean theorem:

x^2= 3^2 + 3^2

x^2 = 9 + 9

x= sqrt 18

x = 4.2426....

rounding to the nearest 10th:

x = 4.2

I HAVE TO GET THIS RIGHT!!!
what is 2 + 2

Answers

Step-by-step explanation:

The sum of 2 and 2 can be derived using basic arithmetic operations.

Starting with 2, we can add 1 to get 3:

2 + 1 = 3

Then, we can add another 1 to get 4:

3 + 1 = 4

Therefore, the derivation of 2 + 2 is:

2 + 2 = (2 + 1) + 1 = 3 + 1 = 4

Hence, 2 + 2 is equal to 4.

Answer:

4

Step-by-step explanation:

if the manufacturer stocks 105 components, what is the probability that the 100 orders can be filled without reordering components?

Answers

The probability that the 100 orders can be filled without reordering components, if the manufacturer stocks 105 components is 1, or 100%.


The probability of being able to fill 100 orders without reordering components depends on the total number of components stocked. If the manufacturer stocks 105 components, then the probability of being able to fill 100 orders without reordering components is 1. Since 105 is greater than or equal to 100, the probability of being able to fill the orders without reordering components is 1 (100%).

Mathematically, this can be expressed as P(Filling 100 orders) = 1, where P stands for probability, and Filling 100 orders stands for the event of being able to fill 100 orders without reordering components.

This is because, if the manufacturer stocks 105 components, then they have enough components to fulfill the 100 orders without reordering components. So, the probability of being able to fulfill the orders without reordering components is 100%, or 1.

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to begin a bacteria study, a petri dish had 2800 bacteria cells. each hour since, the number of cells has increased by 3.3%. let t be the number of hours since the start of the study. let y be the number of bacteria cells. write an exponential function showing the relationship between y and t.

Answers

[tex]y = 2800(1.033)^t[/tex] is the exponential function for starting population of 2800 bacterium cells that is shown to multiply exponentially over time using this function, increasing by a factor of 1.033 every hour.

We can use an exponential function of the type y = abt to simulate the development of bacteria cells over time, where y stands for the number of cells, t for the number of hours, and a and b for constants that we must establish.

Since we now know there are 2800 bacterium cells, we can enter this number into the equation to obtain:

[tex]2800 = ab^0[/tex]

By simplifying this equation, we obtain a = 2800, which informs us that there are 2800 bacterium cells in the initial population.

We must use the knowledge that the number of cells rises by 3.3% every hour to get the value of b. By dividing this percentage growth by 100, we can convert it to a decimal, yielding a growth rate of 0.033. The value of b can then be obtained by multiplying this growth rate by 1:

b = 1 + 0.033 = 1.033

These values of a and b are what we obtain when we enter them into our exponential function:

[tex]y = 2800(1.033)^t[/tex]

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A rocket is launched from the top of a 90 foot cliff with an initial velocity of 160 feet per second. The height, h, of the rocket after t seconds is given by the equation h=-16t^2+160t+90. How long after the rocket is launched will it be 30 feet from the ground?

Answers

The rocket will be 30 feet from the ground approximately 0.4 seconds or 9.6 seconds after it is launched.

To solve this problem, we need to find the value of t for which the height of the rocket is 30 feet. We can use the given equation to set up an equation for this as follows:

-16t² + 160t + 90 = 30

Simplifying and rearranging, we get:

-16t² + 160t + 60 = 0

Dividing by -4, we get:

4t² - 40t - 15 = 0

Using the quadratic formula, we get:

t = [40 ± √(40² - 4(4)(-15))] / (2×4)

t = [40 ± √(1840)] / 8

t = [40 ± 2×√(460)] / 8

t = 5 ± (1/2)×√(460)

Therefore, the rocket will be 30 feet from the ground at t = 5 - (1/2)×√(460) seconds or t = 5 + (1/2)×√(460) seconds. These are the two possible solutions to the equation. We can simplify them as follows:

t = 0.4 seconds or t = 9.6 seconds

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Find the are 22ft 37ft 38. 09ft 109degrees 138degrees

Answers

Answer:

B.

Step-by-step explanation:

I just took the test

A pool charges $4 each visit or you can buy a membership for $100. Write and solve an inequality to find how many times a person should use the pool so that a membership is less expensive than paying each time. Write an inequality and solve. PLEASE HELP ME!!

Answers

Answer:

Let's say the number of visits to the pool is represented by the variable 'x'.

If a person chooses to pay per visit, the cost will be 4x dollars.

If a person chooses to buy a membership, the cost will be a one-time payment of $100.

We want to find out when the cost of buying a membership becomes less expensive than paying per visit. In other words, we want to solve the inequality:

4x > 100

To solve for x, we need to isolate the variable. We can do this by dividing both sides by 4:

x > 25

So, if a person plans to visit the pool more than 25 times, it's more cost-effective to buy a membership instead of paying per visit.

Why isn't x^4+4x-21 factorable?

Answers

Answer:

The polynomial expression x^4 + 4x - 21 cannot be factored into linear factors with rational coefficients. This can be shown using the rational root theorem, which states that any rational roots (zeros) of the polynomial must be of the form p/q, where p is a factor of the constant term (in this case, 21) and q is a factor of the leading coefficient (1). The only possible rational roots of this polynomial are ±1, ±3, ±7, and ±21. However, plugging in each of these values does not give a zero of the polynomial, meaning it has no rational roots. Therefore, it cannot be factored into linear factors with rational coefficients. It may still be factorable using complex numbers, but it is not factorable using only real numbers.

6. Martin has a business washing cars. Last year he washed 20 cars a week. This year, he wants to increase his business to 1.200 cars a year. How many cars will he have to wash each month on average?​

Answers

Martin will have to wash 96 cars each month on average to meet his goal of washing 1,200 cars this year.

What is average ?

Average, also known as mean, is a statistical measure that represents the central value of a dataset. It is calculated by adding up all the values in the dataset and dividing by the total number of values. The average can be used to provide a general idea of the value of the dataset and to compare different datasets. There are different types of averages, including arithmetic mean, geometric mean, and median.

According to the question:
To find out how many cars Martin will have to wash each month on average, we need to first find out how many weeks there are in a year:

52 weeks/year

Then we can use this information to calculate how many cars Martin will have to wash each week:

1,200 cars/year ÷ 52 weeks/year = 23.08 cars/week

Since Martin cannot wash a fraction of a car, he will have to round up to 24 cars/week.

Finally, we can calculate how many cars Martin will have to wash each month on average:

24 cars/week x 4 weeks/month = 96 cars/month

Therefore, Martin will have to wash 96 cars each month on average to meet his goal of washing 1,200 cars this year.

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mike and alain play a game in which each player is equally likely to win. the first player to win three games becomes the champion, and no further games are played. if mike has won the first game, what is the probability that mike becomes the champion?

Answers

The probability that Mike becomes the champion given that he has won the first game is 7/12.

To find the probability that Alain wins the championship given that Mike won the first game, we can repeat the same reasoning as before, but with Alain as the starting player.

P(Mike wins championship | Mike won first game) = 1 - P(Alain wins championship | Mike won first game)

This leads to:

P(Alain wins championship | Alain won first game) = 5/8

Therefore, we can conclude that:

P(Mike wins championship | Mike won first game) = 1 - P(Alain wins championship | Mike won first game) = 1 - 5/8 = 3/8 + 1/8 = 4/8 = 1/2

Thus, The probability that Mike becomes the champion given that he has won the first game is 7/12.

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