1. f(3)=2x-5 (show work)

Answer: The answer is -5 x 8

Step-by-step explanation:

First of, we add the numbers in the parenthesis, 5+3, which equals 8.

Since we got rid of the parenthesis, a number next to a number means to multiply.

Since we are simplifying and not answering the equation, we leave the equations as -5 x 8

The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

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The Logarithmic function is  \(g(y)=\log_2y\).

\(x=3\) is the length corresponding to the strength 8 Pa

The relation between the length and the strength of the building materials is given by an exponential function, \(f(x) = 2^x\) ,

where x is the length.

We have to convert this function into a logarithmic function where the strength is given as 8 Pa.

Let \(y = f(x)\)

i.e., \(y=2^x\)  where y represents the strength.

We know that logarithmic function is the inverse of the exponential function up to the bases.

Taking Logarithm on both sides, we get,

\(log y = x log 2\)

⇒ \(x=log_2y\)

i.e., the length is given by the function  \(g(y)=\log_2y\)  when y, the strength is known. This is the required logarithmic function.

So when the strength, y = 8 Pa,

the length, \(x = log_2 8\)  ⇒ \(x=log_2 2^3\)

⇒ \(x=3\) is the length corresponding to the strength 8 Pa.

The question provided is incomplete. Here you can find the complete question:

Wendell is looking over some data regarding the strength, measured in Pascals (Pa), of some building materials and how the strength relates to the length. The data are represented by the exponential function f(x) = \(2^x\), where x is the length. Explain how he can convert this equation to a logarithmic function when strength is 8 Pascals.

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The solution for x in the equation is x = 7

From the question, we have the following parameters that can be used in our computation:

3√4x-1-7=-4

Express properly

∛(4x - 1) - 7 = -4

Add 7 to both sides

∛(4x - 1) = 3

Take the cube root of both sides

4x - 1 = 27

So, we have

4x = 28

Divide by 4

x = 7

Hence, the value of x is 7

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Answer:

0.125

Step-by-step explanation:

convert to decimal, then divide

The probability that he would have done at least this well if he had no ESP is approximately 2.4%. This can be calculated by determining the probability of getting 22 or more of 30 coin flips correct by chance, which is 0.024.

The probability of getting 23 or more of 30 coin flips correct by chance is 0.0048. The probability of getting 24 or more of 30 coin flips correct by chance is 0.0008. The probability of getting 25 or more of 30 coin flips correct by chance is 0.00012. The probability of getting 26 or more of 30 coin flips correct by chance is 0.000016. The probability of getting 27 or more of 30 coin flips correct by chance is 0.000002. The probability of getting 28 or more of 30 coin flips correct by chance is 0.00000003. The probability of getting 29 or more of 30 coin flips correct by chance is 0.000000004. The probability of getting 30 of 30 coin flips correct by chance is 0.00000000003.

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Answer:

There is 243.84 cm in 8 feet.

Step-by-step explanation:

We have:

1 inch = 2.54 cm

1 feet = 12 inch  

We can find the number of centimeters (n) present in 8 feet as follows:

\( n = \frac{2.54 cm}{1 inch}*\frac{12 inch}{1 ft}*8 ft = 243.84 cm \)

Therefore, there is 243.84 cm in 8 feet.

I hope it helps you!

Answer:

243.84

Step-by-step explanation:

If an event that "student-drives" is denoted by "A", and event "student go for movie" is denoted by B, then

(a) Probability that randomly selected student do not drive is 0.59,

(b) Probability for randomly selected student go for movie last-month is 0.57,

(c) Probability that randomly selected student "drives" or "go for movie past month" is 0.63.

(a) To find the probability that a randomly selected student does not drive, we can use the complement of event A, which is A'.

From the Venn-Diagram, We know that;

(A and \(B^{c}\)) = 0.06, (\(A^{c}\) and \(B^{c}\)) = 0.37,  (A and B) = 0.35,  (\(A^{c}\) and B) = 0.22,

We use the values of (A and \(B^{c}\)) and (A and B) to calculate P(A):

P(A) = (A and \(B^{c}\)) + (A and B) = 0.06 + 0.35 = 0.41;

So, P(\(A^{c}\)) = 1 - P(A) = 1 - 0.41 = 0.59,

The probability that randomly selected student do not drive is 0.59.

Part (b) : Probability that randomly selected student go for movies past month, is denoted by P(B).

So, P(B) = (A and B) + (\(A^{c}\) and B) = 0.35 + 0.22 = 0.57.

The probability that randomly selected student go for movies past month is 0.57.

Part (c) : Probability that randomly selected student drives or go for movies past month, is denoted by union of events A and B, and We know that, P(A U B) = P(A) + P(B) - P(A and B);

Substituting the values,

We get,

= 0.41 + 0.57 - 0.35

= 0.63.

So, probability that randomly selected student drives or go for movies past month is 0.63.

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As per the given graph, the shape of the coordinate is square.

The term coordinate in math is defined as a set of numbers or numbers and letters together that show you a position on a map.

Here we given that  the coordinates (1, 1), (4, 4), (7, 1), and (4, -2) are joined.

Then we have to identified the form of the shape that has been formed using the coordinates.

Here we know that when the coordinates are joined, then the following graph can be obtained and when we observe that all the sides of the figure formed are of the same length and the diagonals bisect each other at 90°.

Through the graph we have identified that the lengths of the diagonals are equal and the opposite sides are parallel.

Therefore, the properties of a square are matched.

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The value of x is x=7.

A triangle is a polygon with 3 sides.

Given, the measures of the interior angles of the triangle are 60°, 70°, and 6x+8.

Since the sum of the measures of the interior angles of a triangle is 180°, it follows:

60+ 70+ 6x+8 = 180

138 + 6x =180

6x = 180-138

6x = 42

x = 42/6

x = 7

Hence, the value of x is x=7.

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Answer:

-4x

Step-by-step explanation:

If you like my answer mark me brainliest

Answer:

Use the system of equations method, this is in y= form so it can be substituted or graphed. Lets do using the substitution, so substitute the second euqation into first...

y=−4x−3    y=−2x+1

-2x+1=-4x-3 substitute

-2x+4x=-3-1  move and combine like terms

2x=-4 divide

x=-2

Have a gud day!

Answer:

48=2^4x3

Step-by-step explanation:

48=2x2x2x2x3

48=2^4x3

Hope this helps :)

Answer: 8 dogs

Step-by-step explanation:

We must count the data points provided to establish how many dogs are entered in the Ridgeway Dog Show. The weights of the dogs are as follows based on the given data points: 3, 2, 16, 4, 26, 8, 6, 3.

We determine that there are 8 weights listed by counting the data points. Thus, the Ridgeway Dog Show featured 8 dogs.

Answer: y= -10/3 - 2x/3

Step-by-step explanation:

move all terms that dont contain y to the right side and solve

it will take 12 months for Muhammad's account balance to surpass Connor's, assuming they continue to deposit amount at the same rate. After 12 months, Muhammad's balance will be $950 ($158 + $59x) and Connor's balance will be $896 ($74 + $66x).

To solve this problem, we can start by finding the monthly difference in their deposits:

Muhammad: $59/month

Connor: $66/month

Since Muhammad's monthly deposit is lower than Connor's, we need to find out how many months it will take for Muhammad's balance to catch up to and surpass Connor's. We can set up an equation to represent this situation:

$158 + $59x = $74 + $66x

where x is the number of months elapsed.

We can simplify and solve for x:

$158 + $59x - $74 - $66x = 0

$84 - $7x = 0

$7x = $84

x = 12

Therefore, it will take 12 months for Muhammad's account balance to surpass Connor's, assuming they continue to deposit money at the same rate. After 12 months, Muhammad's balance will be $950 ($158 + $59x) and Connor's balance will be $896 ($74 + $66x).

the complete question is :

Muhammad has $158 in his bank account and deposits $59 per month into his account. Connor has $74 in his bank account and deposits $66 per month into his account. If Muhammad and Connor continue to deposit money into their accounts at the same rate, how long will it take for Muhammad's account balance to surpass Connor's?

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Answer:

{ 0 , 7 , 16 }

Step-by-step explanation:

Domain = set of x values

(16,1) x = 16

(0,19) x = 0

(7,-19) x = 7

The set of x values ( domain ) would be

{ 0 , 7 , 16 }

Note: the values of the domain should be put in order from least to greatest

Answer:

median is 6(sub2pewdiepie)

Step-by-step explanation:

Answer:

-2,-1

Step-by-step explanation:

When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.

Answer:

it is -2,-1 to solve the problem take the original point and go over the x-axis to the same part but opposite side ( I hope u understand what I am saying =/

Step-by-step explanation:

first graph the original point and then reflect it across the axis you know your answer is correct if it is an equal amount of spaces from the original point or if when you fold the graph the points are lined up (hope this helps)

Let us consider that the two cars start traveling from point A in opposite directions. Let's say that they meet at point B at time t after starting to travel.

Distance traveled by the first car in time t:
Distance = Speed × Time ⇒ d1 = 60t
Distance traveled by the second car in time t: Distance = Speed × Time ⇒ d2 = 46t
Distance between A and B = sum of distances covered by both the cars in time t:
Distance AB = d1 + d2 = 60t + 46t = 106t
Given, the distance between the cars at point B = 371 miles i.e. AB = 371
Now, substitute AB with 371 in the above equation, we get: 106t = 371⇒ t = 371/106⇒ t = 3.5 hours
Therefore, the two cars will be 371 miles apart after 3.5 hours.

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Answer:

8.04050632911

Step-by-step explanation:

Answer:

Step-by-step explanation:

2(x+2x−3)=463x−3=4623x=23+3x=263x≈ 8.67

There is a 15% chance that the Lions will score less than 2 goals in a given game.

The probability distribution of a random variable is a listing of all the possible outcomes of an experiment and the associated probabilities.

In probability theory, a probability distribution is a mathematical function that characterizes the likelihood of the possible outcomes of a random variable. In the case of the Lions soccer team, we are given the probability distribution table, which provides the probabilities associated with the possible outcomes.

For example, the probability that the Lions will score 0 goals in a given game is 0.05, the probability that they will score 1 goal is 0.10, and so on. The distribution of the probabilities is what is known as a discrete probability distribution.

The question asks for the probability that in a given game the Lions will score less than 2 goals.

Ee add the probabilities of the Lions scoring 0 and 1 goals.

Therefore:

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

= 0.05 + 0.1

= 0.15

In other words, there is a 15% chance that the Lions will score less than 2 goals in a given game.

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Answer:

7.5 in

Step-by-step explanation:

LOL the answer is right there in the pink circle!

the diameter of a circle is measured in a straight line from one end of the circle to the other side (or basically : 2×radius)

Answer:

1) Slope= 2, y-intercept=4, equation: y=2x+4

2.Slope= -10 , y-intercept= 60 , equation: y=-10x+60

Step-by-step explanation:

Slope formula: \(\frac{y_{2}-y_1 }{x_2-x_1}\)

1. Plug in two sets of cordinates into the equation

(0,2) (2,8)

2. Solve, slope =2

3. Plug in one pair into the point slope formula

Point slope formula: \(y-y_1=slope(x-x_1)\)

4. y-8=2(x-2)

5.y-8=2x-4

6. y=2x+4

Do the same for the other equation

Answer:

1: slope

2: y-intercept

1a: slope= 3

1b: 2

y=3x+2

2a: slope= -10

2b: 60

y= -10x+60

Step-by-step explanation:

The graph of g(x) = f(-5x+10) is given in the figure.

A diagram showing the relation between two variable quantities,each measured along one of a pair of axes at right angles.

It is given that f(x) = x^2

and g(x ) = f(-5x+10)

Now putting the value of f(x) in g(x) we get,

g(x)  = f(-5x+10)  = (-5x+10)^2

So, g(x) = (-5x+10)^2

now, making the table for g(x),

x g(x)

0 100

1 81

2 0

3 25

4 100

5 225

Hence,the graph of g(x) = f(-5x+10) is given in the figure.

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Answer:

3

Step-by-step explanation:

subtract 3y from both sides

add 9 to both sides

3y=12x+9

divide everything by 3

y=4x+3

y-intercept is 3

Answer:

12* ( 4+5)

Step-by-step explanation:

48 = 12 * 4

60 = 12 * 5

48 + 60 = 12*4 + 12*5

             = 12*( 4 + 5)

            = 12* 9

            = 108

Answer:

y = 5 x + 3  

Step-by-step explanation:

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