Please help!! I have 10 minutes left!!

Answer:

k = p(K+t)

Step-by-step explanation:

p = k/K+t // × (K+t)

p(K+t) = k

Answer:

k = K p - K t

Step-by-step explanation:

Solve for k:

p = k/K + t

p = k/K + t is equivalent to k/K + t = p:

k/K + t = p

Subtract t from both sides:

k/K = -t + p

Multiply both sides by K:

Answer: k = K p - K t

A composite function, also known as f of g of x, is formally denoted as f(g(x)) or (f g)(x), and it requires the substitution of x = g(x) in f. (x). Another way to read it is "f circle g of x." It is a process that joins two functions to create a third, distinct function.

The composite function F of G of X is composed of the two functions f(x) and g. (x). Let's use an actual situation to better comprehend f of g of x. We employ the slicer and the fryer for making french fries. Assume that x is a potato, that the fryer is performing the function f(x), and that the slicer is performing the function g(x) (frying the potato).

A composite function, also known as f of g of x, is formally denoted as f(g(x)) or (f g)(x), and it requires the substitution of x = g(x) in f. (x). Another way to read it is "f circle g of x." It is a process that joins two functions to create a third, unique function. The output of one function becomes the input of another function in f of g of x. It can be compared to a sequence of tools or processes.f(x) = 2x + 3 and g(x) = x2

f of g of x = (f ∘ g)(x) = f(g(x))

g of f of x = (g ∘ f)(x) = g(f(x))

We are aware that anytime we simplify a mathematical equation, we always operate on the elements inside the brackets first. Therefore, in order to obtain f(g(x)), we must first identify g(x), which we must then use as the input for f(x) and simplify. Here is an illustration to help you comprehend. Assume that g(x) = x2 and f(x) = 2x + 3. We'll discover f(g(3)).

g(3) = 32 = 9.

f(g(3)) = f(9) = 2(9) + 3 = 18 + 3 = 21.

Then

To know more about composite function refer to:

https://brainly.com/question/10687170

#SPJ1

Answer:

7.8 x (12/6)-0.8

By definition, a rational number is one that can be expressed as the division of two whole numbers, the denominator being different from zero, in other words

As -8 you can express it in different ways, for example

So -8 meets the above definition, and therefore is a rational number.

1) As one property of the rational exponents is to be rewritten as a radical, we can write this:

The proportional relation between time and pushups is given by y = ( 1/6 )x

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the value of A is

Let the number of pushups be y

Let the total time be represented as x

And , when x = 24 , y = 4

So , 4 = k ( 24 )

Divide by 24 on both sides , we get

k = ( 1/6 )

Therefore , the proportionality constant is k = ( 1/6 )

Hence , the equation is y = ( 1/6 )x

To learn more about proportion click :

https://brainly.com/question/7096655

#SPJ3

The graph of g is Transformation up 7 units.

what is Transformation?

A graph transformation is a method for altering an existing graph or graphed equation to create a different version of the graph that follows. The modification of algebraic equations is a typical form of algebraic issue.

solution:

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

g(x) = f(x) + k

Also, we have the value of k to be

k = 7

From the question, we can interpret g(x) = f(x) + k as f(x) is shifted up by k units

This means that

g(x) = f(x) + k

So, we have

g(x) = f(x) + 7

Hence, the transformation is (a) translated up 7 units

To learn more about Transformation from the given link

https://brainly.com/question/1620969

#SPJ1

Given tan(x)=24/25 (in quadrant 1), the value of sin(2x) is 2352 / 15625.

It should be noted that tan(x) = sin(x) / cos(x)

Given tan(x) = 24/25, we can represent it as:

24/25 = sin(x) / cos(x)

cos²(x) + sin²(x) = 1

Since we're in quadrant 1, both sin(x) and cos(x) are positive. Let's solve for cos(x):

cos²(x) + (24/25)² = 1

cos²(x) + 576/625 = 1

cos²(x) = 1 - 576/625

cos²(x) = 49/625

Taking the square root of both sides:

cos(x) = sqrt(49/625)

cos(x) = 7/25

Now that we have cos(x), we can find sin(x) using the given equation:

24/25 = sin(x) / (7/25)

Multiplying both sides by (7/25):

(7/25) * (24/25) = sin(x)

168/625 = sin(x)

Now, we have sin(x) and cos(x), and we can use double angle formula to find sin(2x):

sin(2x) = 2 * sin(x) * cos(x)

Substituting the values we found:

sin(2x) = 2 * (168/625) * (7/25)

sin(2x) = (2 * 168 * 7) / (625 * 25)

sin(2x) = 2352 / 15625

Therefore, sin(2x) = 2352/15625.

Learn more about trigonometry on

https://brainly.com/question/24349828

#SPJ1

The largest value that f(4) can possibly be is 29.

The mean value theorem states that for a function f(x) that is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), there exists a number c in the open interval (a, b) such that:

f(b) - f(a) = f'(c)(b - a)

In this case, we are given that f(0) = -3 and that f'(x) ≤ 8 for all values of x. To determine how large f(4) can possibly be, we can use the mean value theorem with a = 0 and b = 4:

f(4) - f(0) = f'(c)(4 - 0)

Substituting the given values:

f(4) - (-3) = f'(c)(4)

f(4) + 3 = 4f'(c)

Since f'(x) ≤ 8 for all values of x, we can say that f'(c) ≤ 8. Therefore:

f(4) + 3 ≤ 4f'(c) ≤ 4(8) = 32

Therefore, we have:

f(4) ≤ 32 - 3 = 29

Learn more about the differentiation here:

brainly.com/question/954654

#SPJ11

Answer:

$78.84

Step-by-step explanation:

$26.28 multiplied by 3 is $78.84

The greatest possible number of intersection points for four circles of different sizes is 12.

The greatest possible number of intersection points of four circles of different sizes can be calculated by considering the maximum number of intersection points each pair of circles can have and then summing them up.

When two circles intersect, they can have a maximum of two intersection points. So, if we have four circles, we can find the maximum number of intersection points by considering each pair of circles separately.

For the first circle, it can intersect with the other three circles at most two times each, giving us a total of 2 * 3 = 6 intersection points.

For the second circle, it can intersect with the remaining two circles at most two times each, giving us a total of 2 * 2 = 4 intersection points.

The third circle can intersect with the last remaining circle at most two times, giving us a total of 2 * 1 = 2 intersection points.

Finally, the fourth circle doesn't have any other circle left to intersect with, so it doesn't contribute any additional intersection points.

Now, we can sum up the intersection points from each pair of circles: 6 + 4 + 2 + 0 = 12.

More on Intersection: https://brainly.com/question/16626036

#SPJ11

Answer: Formula is 2πr^2

Step-by-step explanation:

plug in and it is 196*π

Answer: A= 196\(\pi\)  

Step-by-step explanation:

The area of a circle formula:

A=\(\pi r^{2}\)                       >r=14   substitute in

A=  \(\pi( 14^{2} )\)                >simplify 14²

A= 196\(\pi\)                   > leave pi  like a variable x to leave in terms of pi, do

                                      not multiply by 3.14

Answer:

300$

Step-by-step explanation:

If he save 10 for every 50, you  just divide. 60/10 = 6. He saved 6 times, if each time he saves he has 50 extra dollars, 6 * 50 = 300 because 6*5 = 30 and there is a extra 0 so 30 and 0 is 300

Given the following P(A) = 0.3, P(B) = 0.2, P(A) and P(B) 0.06. So, A and B are independent. This can be solved using probability concept.

The word "probability" derives from the Latin word "probitatem," which means "credibility, likelihood," from the noun probabilis in the 14th century (see probable). The phrase was first used in a mathematical meaning in 1718.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

Given that,

P(A) = 0.3

P(B) = 0.2

P(A and B) = 0.06

Now, P(A and B) = P(A) × P(B)

or, 0.06 = 0.3 × 0.2

So, A and B are independent.

To know more about probability refer to:

brainly.com/question/24756209

#SPJ4

The difference between cardinality and join type is that cardinality describes the relationship between two data tables, while join type is the specific method used to combine the two tables.

Cardinality defines the maximum number of records that can exist in one table for a relationship with another table. Cardinality can be either one-to-one, one-to-many, or many-to-many.

A one-to-many cardinality relationship is when one record in one table can be related to multiple records in another table. For example, a customer can have multiple orders. In this situation, a one-to-one join type is often used because it is the most efficient way to retrieve the related data. This is because one-to-one join type only requires that one record be searched, while a one-to-many join type would require that multiple records be searched in order to find the related records. Additionally, a one-to-one join type ensures that no duplicate records will be returned in the result.

In summary, cardinality describes the relationship between two tables while join type is the specific method used to combine the two tables. A one-to-many cardinality relationship is when one record in one table can be related to multiple records in another table. To efficiently retrieve the related data, a one-to-one join type is often used. This is because it only requires that one record be searched and it ensures that no duplicate records will be returned in the result.

To know more about cardinality refer here:

https://brainly.com/question/29093097

#SPJ11

Answer: x = 8

because  The upper triangle is an isosceles triangle (the two sides are equal)

=> 5x + 5 = 45°

<=> x = (45 - 5) : 5

<=> x = 40:5 = 8

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180

5x + 5 + 5x + 5 + 90 = 180, that is

10x + 100 = 180 ( subtract 100 from both sides )

10x = 80 ( divide both sides by 10 )

x = 8

After solving, the reaminder is 1 if x^3-2x^2+X+1 is divided by x-1.

In the given question we have to find the remainder if x^3-2x^2+X+1 is divided by x-1.

The given equation is x^3-2x^2+X+1.

We have to divide this equation by x-1 to find the remainder.

To find the remainder we firstly find the value of x from x-1. Then we put the value of x in the given equation then we can easily find the remainder.

Putting the x-1 equla to zero, so

x=1

Now putting the value of x in the given equation.

=x^3-2x^2+X+1

=(1)^3-2(1)^2+1+1

=1-2+1+1

=1

Hence, the remainder is 1 if x^3-2x^2+X+1 is divided by x-1.

To learn more about division method link is here

brainly.com/question/12520197

#SPJ4

Answer: Mean  is the value obtained by dividing the sum of several quantities by their number; an average. Denoting the middle term of a series arranged in order of magnitude. The value which occurs most frequently in a set of data is known as the mode of the set of data.

Step-by-step explanation:

The rules for the reflection of a point is explained with clarity.

The graph of a function can be transformed by either shifting it in the right, left, up or down.

When the transformation is rightwards, the function becomes as f(x - a).

For left shifting it is f(x + a).

Suppose the coordinates of the two points are given as (x₁, y₁) and (x₂, y₂) respectively.

In order to check for the reflection over any of the axis do as follows,

If x₁ = x₂ and y₁ = -y₂, the given points are reflection of each other over y-axis.

If y₁ = y₂ and x₁ = -x₂, the given points are reflection of each other over x-axis.

Hence, the rules to check the reflection over either of the axis are explained clearly in the answer.

To know more about transformation of graph click on,

https://brainly.com/question/10059147

#SPJ4

Answer:

(2, 3)

Step-by-step explanation:

the work is all in the pic go check it out I am so sorry if it's incorrect also have a nice day:)

The median of 3 algorithm does not work in linear time when computing the median of 5. It requires additional comparisons and rearrangements, resulting in a higher time complexity than linear.  The median of 7 algorithm works in linear time when computing the median of 5. It allows for efficient selection of the median by utilizing a larger set of elements, ensuring linear time complexity.

To illustrate this, let's consider the scenario of finding the median of 5 using the median of 3 approach. We start by selecting three elements and finding their median, let's say it's element A. Then we compare element A with the remaining two elements. If A is greater than both of them, it becomes the median. Otherwise, we need to consider another pair of elements and repeat the process. This additional step introduces more comparisons and operations, making the algorithm more complex than a linear time algorithm. When using the median of 7 to compute the median of 5, it works in linear time. The median of 7 algorithm selects the median element from a set of seven elements, which can be done in linear time. By applying this algorithm to find the median of 5, we select a subset of five elements and determine their median using the median of 7 algorithm. This approach ensures that we find the median of 5 in a linear time complexity.

Learn more about algorithm here:

https://brainly.com/question/30753708

#SPJ11

The main bearing clearance (in mm) in a certain type of engine is a random variable with a probability density function (PDF).

A probability density function (PDF) is a mathematical function that describes the likelihood of a continuous random variable taking on a specific value within a given range. In this case, the main bearing clearance in a certain type of engine is a continuous random variable, and its PDF provides information about the probability distribution of the clearance values.

To fully describe the main bearing clearance's PDF, we would need the specific mathematical expression for the function. The PDF should satisfy two conditions: it must be non-negative for all values of the clearance, and the total area under the curve of the PDF must equal 1, as the probability of the clearance being within the entire possible range is 1 (100%).

Without the specific form of the PDF, we cannot provide further details, such as the mean, variance, or other properties of the main bearing clearance's probability distribution.

To know more about probability density function (PDF), refer here:

https://brainly.com/question/33372725#

#SPJ11

The expression 12x + 36y represents a linear combination of the variables x and y with coefficients 12 and 36, respectively. There are several ways to express this expression, depending on the context or specific requirements.

Here are a few examples:

Expanded Form: 12x + 36y

This is the standard form of the expression and represents the sum of 12 times x and 36 times y.

Factored Form: 12(x + 3y)

By factoring out the common factor of 12, the expression can be rewritten as the product of 12 and the sum of x and 3y.

Distributive Form: 12x + 36y = 12(x + 3y)

The expression can also be expressed using the distributive property, where 12 is distributed to both terms inside the parentheses.

Equivalent Expressions:

The expression 12x + 36y is equivalent to other expressions obtained by combining like terms or applying algebraic manipulations, such as 6(2x + 6y), 4(3x + 9y), or 12(x/2 + 3y/2).

These different forms provide various ways to represent the expression 12x + 36y and allow for flexibility in mathematical calculations or problem-solving situations.

For more such questions on linear combination

https://brainly.com/question/30341410

#SPJ8

if the function is divided and we get the remainder of  zero then  it is said to be a factor of a function

According to the Remainder Theorem, by a factor x − an of that polynomial, then you will get a zero remainder. The point of the Factor Theorem is the turnaround of the Remainder Theorem: On the off chance that you synthetic-divide a polynomial by x = a and get a zero remainder, at that point not as it were is x = a, a zero of the polynomial(for the remainder theorem ) but x − a is additionally a factor of the polynomial according to of the Factor Theorem.

to know more remainder refer to the  link  https://brainly.com/question/23148931?referrer=searchResults.

#SPJ4

To calculate how long it would take to pay off 60% of the debt,

we can use the same facts as in problem #16. Let's go through the steps:

1. Determine the total amount of debt: Find the original debt amount given in problem #16.

2. Calculate 60% of the debt: Multiply the total debt by 0.6 to find the amount that represents 60% of the debt.

3. Divide the amount obtained in step 2 by the monthly payment: This will give us the number of months it will take to pay off 60% of the debt.

Now, let's apply these steps to the options provided:

a. About 45 months: To determine if this is the correct answer, we need to perform the calculations outlined above using the original debt amount and the monthly payment given in problem #16.

b. About 50 months: Same as option a, perform the calculations using the original debt amount and the monthly payment.

c. About 55 months: Perform the calculations outlined above using the original debt amount and the monthly payment.

d. About 37 months: Perform the calculations outlined above using the original debt amount and the monthly payment.

After performing the calculations for each option, compare the results with the options provided to find the correct answer.

To Learn more about amount of debt:

https://brainly.com/question/28929846

#SPJ11

Answer:

-9x+16

Step-by-step explanation:

-3x+7+-6x+9=-9x+16

-3-6= (tecnectly adding but put negative sign with ur answer!)

7+9=16

Put together and Done!

Hope helps :D

In general, different refrigerants should not be mixed or recovered into the same cylinder.

Different refrigerants have unique chemical compositions and properties that make them incompatible with one another. Mixing different refrigerants can lead to unpredictable reactions, loss of refrigerant performance, and potential safety hazards. Therefore, it is generally recommended to avoid recovering different refrigerants into the same cylinder.

When recovering refrigerants, it is important to use separate recovery cylinders or tanks for each specific refrigerant type. This ensures that the refrigerants can be properly identified, stored, and recycled or disposed of in accordance with regulations and environmental guidelines.

The refrigerant recovery process involves capturing and removing refrigerant from a system, storing it temporarily in dedicated containers, and then transferring it to a proper recovery or recycling facility. Proper identification and segregation of refrigerants during the recovery process help maintain the integrity of each refrigerant type and prevent contamination or cross-contamination.

To maintain the integrity and safety of different refrigerants, it is best practice to recover each refrigerant into separate cylinders. Mixing different refrigerants in the same cylinder can lead to complications and should be avoided. Following proper refrigerant recovery procedures and guidelines helps ensure the efficient and environmentally responsible management of refrigerants.

To know more about cylinder visit:

https://brainly.com/question/30390407

#SPJ11

The number of different refrigerants that may be recovered into the same cylinder is zero.

When it comes to refrigerants, it is important to understand that different refrigerants should not be mixed together. Each refrigerant has its own unique properties and should be handled and stored separately. mixing refrigerants can lead to chemical reactions and potential safety hazards.

The recovery process involves removing refrigerants from a system and storing them in a cylinder for proper disposal or reuse. During the recovery process, it is crucial to ensure that only one type of refrigerant is being recovered into a cylinder to avoid contamination or mixing.

Therefore, the number of different refrigerants that may be recovered into the same cylinder is zero. It is essential to keep different refrigerants separate to maintain their integrity and prevent any adverse reactions.

Learn more:

About refrigerants here:

https://brainly.com/question/13002119

#SPJ11

13/4 is the value of  \(4\frac{1}{2} -(2\frac{1}{2}-1 \frac{1}{4})\)

A fraction represents a part of a whole.

The given expression is \(4\frac{1}{2} -(2\frac{1}{2}-1 \frac{1}{4})\)

Convert each mixed fraction to improper fraction

9/2-(5/2-5/4)

9/2-(10-5/4)

9/2-5/4

LCM of 4 and 2 is 4

18-5/4

13/4

Hence, 13/4 is the value of  \(4\frac{1}{2} -(2\frac{1}{2}-1 \frac{1}{4})\)

To learn more on Fractions click:

https://brainly.com/question/10354322

#SPJ1

Answer:

3u--> 750g

5u-->1250g

Step-by-step explanation:

2kg = 2000g

3+5=8

8u --> 2000g

1u--> 250g

3u--> 750g

5u-->1250g