Yon buys tickets to a concert for himself and a friend. There is a tax of 8% on the price of the tickets and an additional booking fee of $10 for the transaction. Enter an algebraic expression to represent the price per person. Simplify the expression if possible. Use variable t for the price of the 2 tickets in dollars. The algebraic expression is

Notice that the y-intercept of the line in the graph is 5. Set x=0 on the given equations to find which of them satisfy that condition. It turns out that there are two possibilities:

Furthermore, we can see that when x=2, then y=0 on the graph. substitute x=2 on those equations to find which of them satisfy that condition:

Then, the equation:

is the only one which matches the line on the image.

The function F(x)=0.2F(x)=0.2 is not an exponential decay function. It is a constant function where the output value is always equal to 0.2, regardless of the input value xx.

An exponential decay function is typically in the form f(x)=a⋅bxf(x)=a⋅bx, where aa and bb are constants and bb is a value between 0 and 1. As xx increases, the exponential decay function decreases exponentially.

For example, an exponential decay function could be f(x)=0.2⋅(0.5)xf(x)=0.2⋅(0.5)x, where the base 0.50.5 represents the decay factor. As xx increases, the value of the function decreases rapidly.

In summary, an exponential decay function follows the pattern of decreasing values as xx increases, while the function F(x)=0.2F(x)=0.2 represents a constant value regardless of the input xx.

For such more question on exponential

https://brainly.com/question/30241796

#SPJ8

Answer:

second one

Step-by-step explanation:

Answer:

It is the first one

Step-by-step explanation:

1+1=2  2+1=3 4+3=7  so it would be the top one 2 the number on the side is 3 and the bottom is 7

Answer:

D

Step-by-step explanation:

Answer:

Step completed incorrectly:  2

Correct Answer: y = -4x + 22

Step-by-step explanation:

The graph is a straight line through points M(4, -1) and N(8, 0).  Point Q is located at (6, -2).

To calculate the slope of the line, substitute the points into the slope formula:

\(\textsf{Slope $(m)$}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-(-1)}{8-4}=\dfrac{1}{4}\)

Therefore, the slope of MN is 1/4, so step 1 of Francisco's calculations is correct.

If two lines are perpendicular to each other, the slopes of these lines are negative reciprocals. The negative reciprocal of a number is its negative inverse.

The negative reciprocal of 1/4 is -4.

Therefore, the slope of the perpendicular line is -4.

So Francisco has made an error in his calculation in step 2 by not making the perpendicular slope negative.

Corrected work

\(\textsf{Step 1:} \quad \sf slope\;of\;MN:\; \dfrac{1}{4}\)

\(\textsf{Step 2:} \quad \sf slope\;of\;the\;line\;perpendicular:\; -4\)

\(\begin{aligned}\textsf{Step 3:} \quad y-y_1&=m(x-x_1)\;\; \sf Q(6,-2)\\y-(-2)&=-4(x-6)\end{aligned}\)

\(\textsf{Step 4:} \quad y+2=-4x+24\)

\(\textsf{Step 5:} \quad y+2-2=-4x+24-2\)

\(\textsf{Step 6:} \quad y=-4x+22\)

Therefore, step 2 has been completed incorrectly.

The correct answer is y = -4x + 22.

Answer:

the answers are below

Step-by-step explanation:

1. the populaton of ths study are the college students that are beng tested on the effect of alcohol on their emotions. college students are the main focus of this experiment.

2. The sample for this study is the 120 students from the University. the sample of a study is actually the number of participants in that study. this queston says that they are 120

3. the null hyothesis:

 h₀ : alcohol has no effect on college students emotions

4. the alternate hypothesis:

 h₁: there is effect of alcohol on college students emotions

5. The researcher would have to use a t test which is an inferential statistical test. A t test is used to test for the existence of statistical difference between two means that may have similar features

Let's make a conversion:

Answer:

She bought about 6.61386lb

Answer:

A, C, and D

Could you please give me Brainliest?

Answer:

answers are a c d

Step-by-step explanation:

look at the lines that' how you find your answer

No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

For more such questions on rank

https://brainly.com/question/28839672

#SPJ8

Answer:

47 miles per hour

Step-by-step explanation:

The average rate of speed is the miles divided by the hours

141 miles / 3 hours

47 miles per hour

Answer:

47

Step-by-step explanation:

141 / 3

Answer:

ok

Step-by-step explanation:

Answer:

X 30

Step-by-step explanation:

I did the math and all you had to do was times all the nymbers!

Answer:

19/21

Step-by-step explanation:

47+13=?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(4/7, 1/3) = 21

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(47×33)+(13×77)=?

Complete the multiplication and the equation becomes

1221+721=?

The two fractions now have like denominators so you can add the numerators.

Then:

12+721=1921

This fraction cannot be reduced.

Therefore:

47+13=1921

Solution by Formulas

Apply the fractions formula for addition, to

47+13

and solve

(4×3)+(1×7)7×3

=12+721

=1921

Therefore:

47+13=1921

Answer:

\(\frac{19}{21} \)

Step-by-step explanation:

First, find common denominators. Note that what you do to the denominator, you must also do to the numerator.

In this case, the common denominator will be 21.

Multiply 3 to both the numerator and denominator of 4/7:

\(\frac{4}{7} * \frac{3}{3} = \frac{12}{21} \)

Next, multiply 7 to both the numerator and denominator of 1/3:

\(\frac{1}{3} * \frac{7}{7} = \frac{7}{21} \)

Finally, add the numerators:

\(\frac{12}{21} + \frac{7}{21} = \frac{19}{21} \)

\(\frac{19}{21} \) is your answer.

~

Answer:

The answer would be B :)

Step-by-step explanation:

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of periods is given as follows:

5 + 6 + 4 = 15.

The frequency of each class is given as follows:

Learn more about the concept of probability at https://brainly.com/question/24756209

#SPJ1

A pipe whose diameter measures 1 1/4 inches should have less threads per inch than a pipe with a diameter of 11/2 inch. So, the correct answer is (D).

To determine the correct answer, we need to compare the diameters of the two pipes and understand the relationship between pipe diameter and threads per inch.

The number of threads per inch generally decreases as the pipe diameter increases. This means that a larger pipe diameter will have fewer threads per inch compared to a smaller pipe diameter.

Given that the first pipe has a diameter of 1 1/4 inches, we need to find the pipe diameter from the options that is larger than 1 1/4 inches.

The option that meets this requirement is D. 11/2. This represents a pipe diameter of 1 1/2 inches. Therefore, a pipe with a diameter of 1 1/2 inches should have fewer threads per inch than a pipe with a diameter of 1 1/4 inches. Therefore, the correct answer is D. 11/2.

For more questions on: diameter

https://brainly.com/question/30460318

#SPJ8  

Maraging (18% Ni) steel has a better tolerance to defects and fracture toughness compared to Medium strength steel.

The tolerance to defects and fracture toughness of a material can be evaluated using its fracture toughness parameter, Kic. The higher the Kic value, the better the material's tolerance to defects and fracture toughness.

To compare the two materials, we can use the concept of critical stress intensity factor (Kic) and factor of safety (FoS). The critical stress intensity factor is the maximum value of stress intensity factor (K) that a material can withstand without fracturing. The factor of safety is the ratio of the maximum allowable stress to the design stress, and it is used to ensure a safety margin in the design.

Assuming that the two materials have the same defect to tolerance ratio, we can calculate the maximum allowable stress for each material using the following formula:

σmax = FoS * Kic / (π * a)

where σmax is the maximum allowable stress, FoS is the factor of safety (assumed to be 2), Kic is the fracture toughness parameter, and a is the size of the defect.

Let's assume a defect size of 1 mm for both materials. Using the values given in the question, we get:

For Maraging (18% Ni) steel:

σmax = 2 * 82 * 10^6 / (π * 1 * 10^-3) = 52.1 GPa

For Medium strength steel:

σmax = 2 * 50 * 10^6 / (π * 1 * 10^-3) = 31.8 GPa

Therefore, Maraging steel has a higher maximum allowable stress, which indicates that it has a better tolerance to defects compared to medium strength steel.

To compare the fracture toughness of the two materials, we can use their respective Kic values. The higher Kic value indicates a better tolerance to defects and fracture toughness.

Comparing the given values, we can see that Maraging (18% Ni) steel has a higher fracture toughness parameter (Kic= 82 MNm-3/2) compared to Medium strength steel (Kic= 50 MNm-3/2).

Therefore, Maraging (18% Ni) steel has a better tolerance to defects and fracture toughness compared to Medium strength steel.

Learn more about fracture toughness at https://brainly.com/question/24060161

#SPJ1

Answer: 39x/2

The correct answer when simplifying is 39x/2

Hope this helps =)

The probability that you will take 2 socks of the same color, using the combination formula, is of:

0.5604 = 56.04%.

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the formula presented as follows, involving factorials.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The combination formula is used when the order of the objects is not relevant, as in this case with the socks.

In this problem, two socks will be taken from a set of 14, hence the number of combinations is:

\(C_{14,2} = \frac{14!}{2!12!} = 91\)

The number of outcomes in which the socks are of the same color is calculated as follows:

Hence the number of desired combinations is:

\(C_{10,2} + C_{4,2} = \frac{10!}{2!8!} + \frac{4!}{2!2!} = 45 + 6 = 51\)

Hence the probability is:

p = 51/91 = 0.5604 = 56.04%.

More can be learned about the combination formula at https://brainly.com/question/25821700

#SPJ1

Answer: 39 25/50

Step-by-step explanation:

0.78 ( 78% ) = 39/50

0.79 ( 79% ) = 39/50 + 1/2

25 is half of 50

39 25/50

79/100 is the fraction of 79%.

percentage, a relative value indicating hundredth parts of any quantity.

A fraction represents a part of a whole.

We need to write  79% as a fraction or mixed number in simplest form.

79% we will convert to decimal number by dividing with 100.

As we know percentage is a hundredth part.

79% is the hundredth part of 79

79/100=0.79

Hence 79/100 is the fraction of 79%.

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ2

This question is not complete, the complete question is;

When confronted with an in-flight medical emergency, pilots and crew can consult staff physicians at a global response center located in Arizona. If the global response center is called, there is a 4.8 percent chance that the flight will be diverted for an immediate landing. Suppose the response center is called 8,465 times in a given year.

a) What is the expected number of diversions

b) What is the probability of at least 400 diversions

c) What is the probability of fewer than 450 diversions?

Answer:

a) expected number of diversions μ is 406.32

b) the probability of at least 400 diversions is 0.6368

c) the probability of fewer than 450 diversions is 0.9861

Step-by-step explanation:

Given the data in the question;

n = 8465

π = 4.8% = 0.048

so expected number of diversions μ = nπ = 8465 × 0.048 = 406.32

and

σ = √(π(1 - π ) = √(8465 × 0.048(1 - 0.048 ) = √( 406.32 × 0.952 )

σ = √386.81664

σ = 19.6677

b) the probability of at least 400 diversions

P(at least 400 diversion ) = P( X ≥ 400 )

= P( X ≥ 399.5 )

so

z = (X - μ) / σ

we substitute

z = (399.5 - 406.32 ) / 19.6677

z = -6.82 / 19.6677

z = -0.35

so

P(Z > -0.35 ) = 0.500 + p( -0.35 ≤ z ≤ 0 )

= 0.5000 + p( 0 ≤ z ≤ 0.35 )

= 0.5000 + 0.1368

= 0.6368

Therefore, the probability of at least 400 diversions is 0.6368

c)  the probability of fewer than 450 diversions

P(fewer than 450 diversion ) = P( X ≤ 450 )

= P( X ≤ 449.5 )

so

z = (X - μ) / σ

we substitute

z = (449.5 - 406.32 ) / 19.6677

z = 43.18 / 19.6677

z = 2.20

so

P(Z ≤ 2.20 ) = 0.500 + p( 0 ≤ z ≤ 2.20 )

= 0.5000 + 0.4861

= 0.9861

Therefore, the probability of fewer than 450 diversions is 0.9861

\(\\\\\\\)

\(\sf{ }\) \(\sf{ }\) \(\sf{ }\)

Answer:

(y-4) (y-8)

Step-by-step explanation:

y^2-12y+32

What two numbers multiply to 32 and add to -12

-8*-4 = 32

-8+-4 = -12

(y-4) (y-8)

The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42

A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.

The six o'clock position on the Ferris wheel is level with the loading platform.

The wheel completes 1 full revolution in 2 minutes.

We have to find how many minutes of the ride are spent higher than 26 meters above the ground.

So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters

So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)

Also, the height of a person at the lowest point = 4 - 15 = -11 meters

Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.

So, the total distance travelled will be = 19 + 11 = 30 meters.

Also, we are given that the wheel completes 1 full revolution in 2 minutes.

We need to calculate the time spent higher than 26 meters above the ground.

So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.

This angle can be calculated as follows:

Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees

Angle = 30 / (pi * 30) * 360 degrees

Angle = 360 degrees / pi

= 114.59 degrees

So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.

Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.

This can be calculated as follows:

Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken

Time = (180 - 114.59) / 360 * 2 minutes

Time = 0.42 minutes

For more related questions on time spent:

https://brainly.com/question/28263820

#SPJ8

Given

The two membership plans,

Plan A costs $20.00 per month plus $10.00 per class.

Plan B costs $100.00 per month for unlimited classes.

To define a variable and write two functions to represent the monthly cost of each plan.

Explanation:

It is given that,

The two membership plans are,

Plan A costs $20.00 per month plus $10.00 per class.

Plan B costs $100.00 per month for unlimited classes.

Now,

Let c represent the number of monthly classes attended and f(c) represent the monthly cost.

Then, the two functions defined for the two plans are,

Hence, the two variables are c and f(c) such that,

Answer:

-2<=y<=-7

Step-by-step explanation:

The landing space per step for the indoor staircase is solved to be

The vertical rise from first floor to second floor is 14 feet

The figure defined to be a right triangle and the dimensions are worked using SOH CAH TOA

Sin = opposite / hypotenuse - SOH

Cos = adjacent / hypotenuse - CAH

Tan = opposite / adjacent - TOA

The right angle triangle comprises of

opposite = total vertical height

adjacent = total horizontal height = 13 feet

The total vertical height is calculated using tan, TOA

let the angle be x

tan x = opposite / adjacent

tan 47 = opposite / 13

opposite = (13 * tan 47) feet

opposite = 12 * (13 * tan 47) inch

opposite = 167.2895 inch

For a 14 inch vertical rise per step say number of step is y

14 y = total vertical height

14 y = 167.2895

y = 11.9493 steps ≈ 12 steps

The landing space for 12 steps is solved by

= horizontal space total in inch / number of steps

= 13 * 12 / 12

= 13 inches

vertical rise from the 1st floor to the 2nd floor

opposite = (13 * tan 47) feet

opposite = 13.94 feet

opposite = 14 feet (to the nearest foot)

Learn more about SOH CAH TOA here:

https://brainly.com/question/29402966

#SPJ1

Answer:

3,6,-2

Step-by-step explanation:

a+2a+b = 7

2a^2b = -36

a*2a + ab + 2ab = 0

or, a(2a+3b) = 0

so, b = -2a/3

Solve those and you find 3,6,-2

The logarithm of the expression \(5^{(-3log_{5} 2 )} * 2^{(log_{2}3)}\) is log(3/8).

Mathematical functions called logarithms let us change the scale at which numbers are expressed. They specifically aid in the transformation of numbers stated in exponential form into numbers expressed in standard form. The exponent to which the base must be raised in order to obtain a given number is given by the logarithm of the number to the specified base. For instance, since 23 = 8, the logarithm base 2 of 8 is 3. Natural logarithms, which are logarithms to the base e (about 2.718), and common logarithms, which are logarithms to the base 10, are the two types of logarithms that are most frequently used.

The given logarithmic expression is:

\(5^{(-3log_{5} 2 )} * 2^{(log_{2}3)}\)

Using the properties of logarithm we have:

\(5^{(-3log_{5} 2 )} 2^{(log_{2}3)}\\= (5^{(log_{5}2)})^{(-3)} * 3\\= 2^{(-3)} * 3\\= 3/8\)

Hence, the logarithm of the expression \(5^{(-3log_{5} 2 )} * 2^{(log_{2}3)}\) is log(3/8).

Learn more about logarithm here:

https://brainly.com/question/30085872

#SPJ1

Answer:

132÷3=44 the answer is 44 thanks me later

Answer:

Step-by-step explanation:

x + x^2 = 132

x^2 = 132 - x

x = \(\sqrt{132 - x}\)

Simple Interest

The interest earned by an investment, also called principal, depends on three variables:

p=starting amount of money or principal

r=rate of interest

t=duration of the investment

Now let's get on the question. Farid has $66,256 in a savings account. It means that p=66,256. The account earns 5% interest per year. This data is r=5% and must be converted to a decimal by dividing by 100, r=0.05.

We also know the investment has a duration of t= 5 years.

We have all the needed data to calculate the interest by using the formula.

I = p*r*t

Substituting.

I=66,256*0.05*5

Calculating:

I=16,564

The interest earned in 5 years is $16,564

The balance in the account is:

M = $66,256 + $16,564 = $82,820

Final balance: $82,820