Simplify the expression:
(-1 + 3x)(4.9) =

ANSWER:

The new perimeter will be 1/3 times the perimeter of the original rectangle.

;p :D

Answer:

1/3

Step-by-step explanation:

F[g(x-1)] has a value of 2x2-4x+9. Applying the multiplication operation to functions and replacing the functions led to the discovery of the answer.

The functions can be added, subtracted, multiplied, or divided in the same manner that we add, subtract, multiply, and divide the terms in a function.

Consider f(x) and g, two functions (x). These are the notations:

To add, use the formula (f+g)(x) = f(x) + g(x)

for subtraction (f-g)(x) = f(x) - g(x)

To multiply, use the formula (fg)(x) = f(x)* g(x)

The division formula is (f/g)(x) = (f(x))/(g(x)).

A function that considers one function to be a component of another function is created when we replace one function for another.

So now, f(g) = 2g-3.

When provided, g = x^2+5

So, g(x-1) = (x-1)^2+5

By changing g's value (x-1)

F[g(x-1)] has a value of 2x²-4x+9. Applying the multiplication operation to functions and replacing the functions led to the discovery of the answer.

F[g(x-1)] has a value of 2x²-4x+9. Applying the multiplication operation to functions and replacing the functions led to the discovery of the answer

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Answer:

£4.25 each or £8.50 between them

Step-by-step explanation:

£20 each to start with

-£3 for the entrace fee = £17 each

-£7.50 for laser tag = £9.50 each

-£2.25 for mini-bowling = £7.25 each

4 video games will cost 0.75 x 4 = £3

-£3 for video games = £4.25 left each

By the end, each one will have £4.25, or £8.50 between them, wasn't sure what the question was specifying.

Answer:

6588 miles

Step-by-step explanation:

Here's what you have to do: multiply. 54.9×120= 6588 (you multiply it by 120 because that's how long two hours is) so if he traveled in the same speed for two hours the car would have traveled 6588 miles

Answer:

Step-by-step explanation:

Answer:

$11.40, is the actual price, so no

Step-by-step explanation:

If a bagel is $0.95 cents, then multiply that by 12, that would be $11.40, so no, her total is not reasonable, even if you round $0.95 to a dollar, 12x1 would be 12, so you can't estimate that to $16.80

~Akmp10

DEFINITIONS and APPLICATION:
1A short answer is a concise response that directly addresses the question or prompt. It typically consists of a few sentences or a paragraph and is focused on providing a specific answer without unnecessary details or elaboration.

Example: When asked "What is the capital of France?", a short answer would be "Paris."

A 100-word response refers to providing a written explanation or description within a specific word limit of 100 words. This limitation requires the writer to be concise and selective with their information while still conveying a comprehensive understanding of the topic.

Example: If asked to describe the water cycle in 100 words, a response could include information about evaporation, condensation, precipitation, and how water moves between the Earth's surface, atmosphere, and bodies of water.

A conclusion is the final part of a written piece that summarizes the main points and provides a closing statement. It serves to wrap up the information discussed in the body of the text and leave a lasting impression on the reader.

Example: In an essay about the benefits of exercise, the conclusion may restate the key advantages, such as improved physical and mental health, increased energy levels, and reduced risk of chronic diseases, while also encouraging the reader to prioritize regular physical activity.

4. Application: In the context of these concepts, application refers to the practical use or implementation of a particular idea, theory, or skill in real-life situations. It involves taking what has been learned and using it to solve problems, make decisions, or accomplish specific tasks.

Example: If learning about the Pythagorean theorem, applying it would involve using the formula to find the length of the hypotenuse in a right triangle when given the lengths of the other two sides.

These are four of the eight concepts related to definitions and applications. Remember to provide clear explanations, relevant examples, and use a step-by-step approach when addressing each concept.

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Answer:

\(x=0\) and \(x=\pm\sqrt{3}\)

Step-by-step explanation:

\(f(x)=x^5-3x^3\)

\(0=x^5-3x^3\)

\(x^5-3x^3=0\)

\(x^3(x^2-3)=0\)

\(x^3=0\) and \(x^2-3=0\)

\(x=0\) and \(x=\pm\sqrt{3}\)

See the graph for a visual of the x-intercepts.

The total load weight for the entire order is 19650 lbs. This weight exceeds the maximum loaded pallet weight of 2000 lbs, showing that the weight of the load is not safe for transportation.

The weight of one loaded pallet can be calculated by multiplying the number of cases per pallet (80) with the weight of each case (24 lbs) and adding the weight of an empty pallet (45 lbs). Therefore, the weight of one loaded pallet is (80 * 24) + 45 = 1920 + 45 = 1965 lbs.

To determine whether the weight of the load is safe, we need to compare the total load weight with the maximum loaded pallet weight. Since we have 10 pallets, the total load weight would be 10 times the weight of one loaded pallet, which is 10 * 1965 = 19650 lbs.

Comparing this with the maximum loaded pallet weight of 2000 lbs, we can see that the weight of the load (19650 lbs) exceeds the maximum allowed weight. Therefore, the weight of the load is not safe.

In conclusion, the total load weight for the entire order is 19650 lbs. However, this weight exceeds the maximum loaded pallet weight of 2000 lbs, indicating that the weight of the load is not safe for transportation.

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In calculus and mathematics in general, when a symbol has a subscript and a superscript, it provides additional information or context about the symbol or variable being represented.

The subscript typically indicates the index or position of the variable. It is a smaller number or symbol written below and to the right of the main symbol. For example, in the expression "xn," the subscript "n" represents the index or position of the variable "x."

The superscript, on the other hand, often represents an exponent or power to which the variable is raised. It is a smaller number or symbol written above and to the right of the main symbol. For instance, in the expression "x2," the superscript "2" represents the exponent, indicating that "x" is raised to the power of 2.

In calculus, subscripts and superscripts are frequently used to denote different variables, indices, or operations in functions, sequences, series, and equations. They help provide clarity and convey specific meanings or relationships within mathematical expressions. It is essential to understand the conventions and notations used in specific contexts to interpret the subscripts and superscripts correctly.

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Answer:

1.82558139535

Step-by-step explanation:

It takes turtle 314 hours to walk 172 miles.

We need to find for 1 mile how many hours

172 mile/172 is 1 mile

so ratio is 172

314/172= 1.82558139535

Answer:

Hey I think I have the Answer 273

Step-by-step explanation:

[3x(3+10)x7]

First add 3+10

Then multiply 3x13

Then 39x7

Then you get 273 Hope this help mark me BRAINLEST!!!! PLZ

HAVE A NICE DAY!!!

Answer: 273

Step-by-step explanation: 1. PEMDAS P=parenthesis E=exponents M=multiplication D=division A=addition S=subtraction

                              [3 x (3 + 10)] x 7

1. 3 + 10 = 13

2. 3 x 13 = 39

3. 39 x 7 = 273

                            PLZ MAKE ME BRIANLIEST                

                             IF THIS IS THE WRONG ANSWER IM VERY SORRY

                            I DOUBLE CHECKED THOUGH SO ITS NOT :P

Answer:16

Step-by-step explanation:

Using PEMDAS:

8 / 2 * (2+2)

Parentheses first: 8 / 2 * (4)

Then go left to right: 8/2 = 4, 4 * 4 = 16.

8/2(2+2)

It will be 16.

The test is one-tailed to the right due to the Alternate hypothesis.

In a hypothesis test, a Null hypothesis (H0) is a statement of "no effect" or "no difference," whereas the Alternate hypothesis (HA) is a statement of "some effect" or "some difference." Here are the correct null and alternative hypotheses for the given scenario: Null hypothesis: H0: μ = 71, Alternative hypothesis: HA: μ > 71 (One-tailed test) we have a one-tailed hypothesis test since the research hypothesis is directed. In a one-tailed test, we're looking for a difference in one direction only. In this case, Dr Carl thinks that there has been an improvement, so the alternative hypothesis reflects this. Therefore, the test is one-tailed to the right.

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Answer:

KV=21

Step-by-step explanation:

The value of x is 11 and ∠LMN = 190°

What is Linear Equation in One Variable?

A linear equation is a one-variable equation of a straight line. The variable's only power is 1. Linear equations in one variable of the form   ax + b = 0 are solved using simple algebraic techniques.

Solution:

Since, MO bisects the angle

we can say that, ∠LMO = ∠OMN

6x + 19 = 9x - 14

3x = 33

x = 11

so, ∠LMO = 66 + 19 = 85°

Therefor the ∠LMN = 190°

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Answer:

width = 9/2 m

length = 14 m

Step-by-step explanation:

Let width = x

If the length of a rectangle is 5 m more than twice the width:

⇒ length = 2x + 5

Use the given information to create a quadratic equation:

Area of a rectangle = width × length

⇒ 63 = x(2x + 5)

⇒ 63 = 2x² + 5x

⇒ 2x² + 5x - 63 = 0

Find the value of x by factorizing the quadratic:

⇒ 2x² + 5x - 63 = 0

⇒ 2x² + 5x - 63 = 0

⇒ 2x² + 14x - 9x - 63 = 0

⇒ 2x(x + 7) - 9(x + 7) = 0

⇒ (2x - 9)(x + 7) = 0

Therefore:

⇒ (2x - 9) = 0 ⇒ x = 9/2

⇒ (x + 7) = 0 ⇒ x = -7

Width cannot be negative, therefore, x = 9/2 only

⇒ width = 9/2 m

⇒ length = 2(9/2) + 5 = 14 m

Given:

Required:

We have to find the height of the mountain and the distance between A and B.

Answer:

how am I supposed to graph?

Step-by-step explanation:

Answer:

Here's a pdf that has questions and answers on it 7.6 Applications answer key.pdf

Step-by-step explanation:

(A) Revenue function, R(x): R(x) = 4x.

(B) Profit function, p(x): p(x) = -0.003x² + 3.9x - 300.

(C) Marginal profit function: p'(x) = -0.006x + 3.9.

(D) Marginal profit when selling 150 pieces of pie: $3.00.

(E) Interpretation: Selling each additional serving beyond 150 contributes $3.00 to the overall profit.

(A) Revenue Function, R(x):

The revenue is calculated by multiplying the number of servings (x) by the selling price per serving. In this case, the selling price per serving is $4.00. Therefore, the revenue function is:

R(x) = 4x

(B) Profit Function, p(x):

The profit is calculated by subtracting the cost from the revenue. The cost function, C(x), is given as:

C(x) = 300 + 0.1x + 0.003x²

Substituting the revenue function into the profit equation:

p(x) = R(x) - C(x)

p(x) = 4x - (300 + 0.1x + 0.003x²)

p(x) = 4x - 300 - 0.1x - 0.003x²

p(x) = -0.003x² + 3.9x - 300

So, the profit function is p(x) = -0.003x² + 3.9x - 300.

(C) Marginal Profit Function:

The marginal profit function represents the rate of change of profit with respect to the number of servings. To find it, we need to take the derivative of the profit function, p(x), with respect to x:

p'(x) = -0.006x + 3.9

(D) Marginal Profit when selling 150 pieces of pie:

To find the marginal profit when selling 150 pieces of pie, we substitute x = 150 into the marginal profit function:

p'(150) = -0.006(150) + 3.9

p'(150) = -0.9 + 3.9

p'(150) = 3.0

The marginal profit when selling 150 pieces of pie is $3.00.

(E) Interpretation of the answer in part (D):

The marginal profit of $3.00 when selling 150 pieces of the pie means that for each additional piece sold beyond the 150, the profit is expected to increase by $3.00. This indicates that selling additional servings is profitable and contributes positively to the overall profit of the fundraiser.

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The answer is yes, we have all the information needed to solve for how many licenses each central office department will get.

If this very individual acquired about 250 program licenses and 50 licenses are taken or conveyed to departments in the satellite office of same organization, then, number of licenses which will be moved to the central office is:

= 250 - 50

= 200 licenses.

This conclude that 200 licenses will be moved to the central office while 50 licenses will be kept or used at the satellite office.

Then, as given if there are 10 company's departments in central office of this organization and all that 250 licenses will be evenly or equally distributed among the departments, each department will get:

200/10

= 20 licenses.

Since dividing 200 by 10 does give a perfect integer, then there's no further information we are yet to be furnished with. One department will  get 10 license.

Therefore, we have all the information we need to solve for how many licenses each central office department will get.

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a)From this 230 is divisible by 10.Then 995 and 526 are not divisible by 10.b)From this 230 and 995 are divisible by 5 and 526 is not divisible by 5.c) From this 230,995,526 are divisible by 2.

Divisibility by 10: A number is divisible by 10 if its last digit is 0. Therefore, 230 is divisible by 10 since its last digit is 0. 995 and 526 are not divisible by 10 since their last digits are not 0. The mathematical formula for divisibility by 10 is: (10 | N) = 0,Where N is the number that is being tested for divisibility. Calculation: For example, let's take the number 230. (10 | 230) = 0230/10 = 23 Therefore, 230 is divisible by 10. Divisibility by 5: A number is divisible by 5 if its last digit is 0 or 5. Therefore, 230 and 995 are divisible by 5 since their last digits are 0 and 5 respectively. 526 is not divisible by 5 since its last digit is not 0 or 5. The mathematical formula for divisibility by 5 is: (5 | N) = 0Where N is the number that is being tested for divisibility. Calculation: For example, let's take the number 995. (5 | 995) = 0995/5 = 199 .Therefore, 995 is divisible by 5. Divisibility by 2: A number is divisible by 2 if its last digit is 0, 2, 4, 6 or 8. Therefore, 230, 995, and 526 are all divisible by 2 since their last digits are 0, 5 and 6 respectively. The mathematical formula for divisibility by 2 is: (2 | N) = 0Where N is the number that is being tested for divisibility. Calculation: For example, let's take the number 526. (2 | 526) = 0.526/2 = 263 .Therefore, 526 is divisible by 2.

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Answer:

1/3

Step-by-step explanation:

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.

The collection of all potential inputs for a function is its domain. For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0.

Think about the function y = f. (x). The range of the function is the range of all the y values, from least to maximum. Substitute all possible values of x into the provided expression of y to see whether it is positive, negative, or equal to other values.

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The answer is (b) The system has no solution when a = 3.

We can use row reduction to determine the solution(s) of the system of linear equations for any value of a. The augmented matrix is:

\begin{bmatrix}

1 & 0 & 0 & 5 \

0 & 0 & 0 & 1 \

a & 1 & 2 & 6

\end{bmatrix}

First, we can use row operations to put the matrix in row echelon form:

\begin{bmatrix}

1 & 0 & 0 & 5 \

0 & 1 & 2 & 6-a \

0 & 0 & 0 & 1

\end{bmatrix}

Now we can see that the system has a unique solution if and only if the third row corresponds to the equation 0x + 0y + 0z = 1, which is never true, so we can conclude that the system has no solution when a is any number. Therefore, the answer is (b) The system has no solution when a = 3.

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Answer:

A, B, and C

Step-by-step explanation:

EDGE unit test 2020

The rows that stands for when (p ∧ q) ∨ (p ∧ r) is true is row A, B, and C. Check more about Truth table below

The truth table is known to be a table that depicts the real value of any kind of compound statement.

Note that for every truth-value of a statements there is a similar table depicting the value of the output for all of the value of all of the  input and as such, rows that stands for when (p ∧ q) ∨ (p ∧ r) is true is row A, B, and C.

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Answer:

Class B has much better scores than class A

Step-by-step explanation: