Write a real world problem that can be represented by the inequality y-4<2 Solve the inequality and tell wether all values in the solution make sense for the situation

Answers

Answer 1

Real-world problem: A store is having a sale on a particular item, where the original price of the item is y dollars. The store advertises that the sale price is $2 less than the original price.

Represent this situation with the inequality y - 4 < 2. To solve the inequality, we add 4 to both sides to isolate the variable: y - 4 + 4 < 2 + 4, y < 6. The solution to the inequality is y < 6, which means that the original price of the item must be less than $6 for the sale price to be $2 less than the original price.

In this situation, all values in the solution make sense. Any value of y that is less than 6 would result in a sale price that is $2 less than the original price. For example, if y is 5, the sale price would be 5 - 2 = 3, which is $2 less than the original price.

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Related Questions

Above is a table with missing terms. Come up with a possible common difference that makes sense and list the missing terms.

Above is a table with missing terms. Come up with a possible common difference that makes sense and list

Answers

Answer:

common ratio:2 2. 18  3.36  4.72 equation: 4.5(\(2^x\))

Step-by-step explanation:

144=2*2*2*2*3*3    9=3*3

the common ratio would be 2

2. 9*2=18

3. 18*2=36

4. 36*2=72

(check) 72*2=144

0. 9/2=4.5

equation: 4.5(\(2^x\))

When checking alignment angles, what should the technician look for?
a. All angles within factory specifications
b. The camber on the left and right should be within
0.5 degree of each other
c. The caster on the left and right should be within
0.5 degree of

Answers

When checking alignment angles in a vehicle, a technician should look for several factors to ensure proper alignment:

a. All angles within factory specifications: The technician should check if all the alignment angles, including camber, caster, and toe, fall within the specified range provided by the vehicle manufacturer.

b. The camber on the left and right should be within 0.5 degrees of each other: Camber refers to the inward or outward tilt of the wheels when viewed from the front of the vehicle.

c. The caster on the left and right should be within 0.5 degrees of each other: Caster refers to the angle of the steering axis when viewed from the side of the vehicle. It helps provide stability and steering control.

By checking these factors and ensuring they meet the specified criteria, the technician can ensure that the vehicle's alignment is correct, promoting optimal tire wear, handling, and overall performance.

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integrate f(u,v) = v - sqrt(u) over the triangular region cut from the first quadrant on the uv plane by the line u+v=49

Answers

The integral of f(u,v) = v - √u over the triangular region cut from the first quadrant on the uv plane by the line u+v=49 is 1225/6.

The region of integration is a triangular region in the first quadrant of the uv-plane, cut off by the line u+v=49. This line intersects the u and v axes at 49 and the integrand vanishes at the origin, so the region is bounded by the lines u=0, v=0, and u+v=49.

To evaluate the integral, we can integrate with respect to u first, using the limits u=0 to u=49-v. Then we integrate with respect to v, using the limits v=0 to v=49.

The integral becomes:

∫(0 to 49) ∫(0 to 49-v) (v - √u) du dv

Evaluating the inner integral with respect to u, we get:

∫(0 to 49) [(vu - 2/3 u\(^{(3/2)}\)) from u=0 to u=49-v] dv

= ∫(0 to 49) [v(49-v) - 2/3 (49-v)\(^{(3/2)}\)] dv

= (1225/2) - (98/5) - (147/2)

= 245/2 - 49/5

Therefore, the value of the integral is:

245/2 - 49/5 = 1225/2 - 196/10 = 1225/2 - 98/5 = 1225/6.

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1) Consider the two functions. Which statement is true?A) The rate of change for function A and function B are the same.B) The slope of function B is negative and the slope of function A is positive.C) The rate of change for function A is greater than the rate of change for function B.D) The rate of change for function B is greater than the rate of change for function A

1) Consider the two functions. Which statement is true?A) The rate of change for function A and function

Answers

Answer:

B.

Step-by-step explanation:

How many tickets were sold in 8 hours?
Hours Tickets
(h)
Sold (1)
3.
240
5
400
9
720

How many tickets were sold in 8 hours?Hours Tickets(h)Sold (1)3.24054009720

Answers

Answer:

560

Step-by-step explanation:

1=160

2=320

3=480

4=640

5=800

6=960

7=1120

8=1280

9=1440

JUST ADD 160 EACH TIME

hope this is what your looking for   :)

-7x-2y= -13
x-2y= 11

Solve the question with substitution and show work

Answers

Answer:

x=3,y= -4

Step-by-step explanation:

ii) x-2y=11

x=11+2y-----(i)

Now,

i) -7x-2y= -13

or, -7(11+2y)-2y= -13

or, -77-14y-2y = -13

or -14y-2y = -13+77

or -16y = 64

or y =64÷(-16)

:: y = -4

Again,

(ii) x-2y= 11

or x-2(-4)= 11

or x+8 = 11

or x = 11-8

:: x = 3

HELP ASAP!!!! URGENT!!! LOOK AT SCREENSHOT! Identify all points and line segments in the picture below. This image has the potential for visual bias, so there is no alternative text. Select one: a. Points: A, B Line segments: bar(AB) b. Points: A, B, C, D Line segments: bar(AB) c. Points: A, B, C, D Line segments: bar(AB), bar(BC), bar(CD), bar(AD), bar(BD), bar(AC) d. Points: A, B, C, D Line segments: bar(AB), bar(AC), bar(BD)

HELP ASAP!!!! URGENT!!! LOOK AT SCREENSHOT! Identify all points and line segments in the picture below.

Answers

Answer:

the answer is D

describe the behavoir of the markov chain with starting vector [1,0,0]. are there any stable vectors

Answers

The behavior of the Markov chain with starting vector [1,0,0] can be analyzed by calculating the transition probabilities and the resulting probability distribution at each step. The existence of stable vectors depends on the limiting probabilities, which can be calculated to determine if there is a unique stable vector.

A Markov chain is a stochastic process that models a system that transitions from one state to another based on some predefined probabilities. In this case, the starting vector [1,0,0] represents the probability distribution of the system being in each state at the beginning of the process. The first element of the vector represents the probability of being in state 1, the second element represents the probability of being in state 2, and the third element represents the probability of being in state 3.

As the Markov chain progresses, the system transitions from one state to another based on the transition probabilities. The behavior of the Markov chain with starting vector [1,0,0] can be analyzed by calculating the transition probabilities and the resulting probability distribution at each step.

There may or may not be stable vectors in the Markov chain. A stable vector is a probability distribution that remains constant over time, regardless of the starting vector. In other words, if the Markov chain starts from any initial state, it will eventually converge to the stable vector.

To determine if there are any stable vectors in the Markov chain, we need to calculate the limiting probabilities for each state. If the limiting probabilities exist and are the same for all initial vectors, then there is a unique stable vector. If the limiting probabilities do not exist or are different for different initial vectors, then there is no stable vector.

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What value of x makes this equation true?
12x - 15 = 6 - 3x
A 7
3
B3
7
5

What value of x makes this equation true?12x - 15 = 6 - 3xA 73B375

Answers

The answer is 7/5 i know this because i made this problem

An automatic machine in a manufacturing process is operating groperly if the iengths of an important subcomponent are normally distributed with a mean of izal cri and a otandard deviation of 5.6 cm. A. Find the probability that one selected subcomponent is longer than 122 cm, Probability = B3. Find the probability that if 3 subcomponents are randomly selected, their mean length exceeds 122 cm. Probability win C. Find the probabilify that if 3 are randomly selected, ail 3 have lengths that exceed 122 cm. Probability =

Answers

A. The probability that one selected subcomponent is longer than 122 cm can be found by calculating the area under the normal distribution curve to the right of 122 cm. We can use the z-score formula to standardize the value and then look up the corresponding probability in the standard normal distribution table.

z = (122 - μ) / σ = (122 - 100) / 5.6 = 3.93 (approx.)

Looking up the corresponding probability for a z-score of 3.93 in the standard normal distribution table, we find that it is approximately 0.9999. Therefore, the probability that one selected subcomponent is longer than 122 cm is approximately 0.9999 or 99.99%.

B. To find the probability that the mean length of three randomly selected subcomponents exceeds 122 cm, we need to consider the distribution of the sample mean. Since the sample size is 3 and the subcomponent lengths are normally distributed, the distribution of the sample mean will also be normal.

The mean of the sample mean will still be the same as the population mean, which is 100 cm. However, the standard deviation of the sample mean (also known as the standard error) will be the population standard deviation divided by the square root of the sample size.

Standard error = σ / √n = 5.6 / √3 ≈ 3.24 cm

Now we can calculate the z-score for a mean length of 122 cm:

z = (122 - μ) / standard error = (122 - 100) / 3.24 ≈ 6.79 (approx.)

Again, looking up the corresponding probability for a z-score of 6.79 in the standard normal distribution table, we find that it is extremely close to 1. Therefore, the probability that the mean length of three randomly selected subcomponents exceeds 122 cm is very close to 1 or 100%.

C. If we want to find the probability that all three randomly selected subcomponents have lengths exceeding 122 cm, we can use the probability from Part A and raise it to the power of the sample size since we need all three subcomponents to satisfy the condition.

Probability = (0.9999)^3 ≈ 0.9997

Therefore, the probability that if three subcomponents are randomly selected, all three of them have lengths that exceed 122 cm is approximately 0.9997 or 99.97%.

Based on the given information about the normal distribution of subcomponent lengths, we calculated the probabilities for different scenarios. We found that the probability of selecting a subcomponent longer than 122 cm is very high at 99.99%. Similarly, the probability of the mean length of three subcomponents exceeding 122 cm is also very high at 100%. Finally, the probability that all three randomly selected subcomponents have lengths exceeding 122 cm is approximately 99.97%. These probabilities provide insights into the performance of the automatic machine in terms of producing longer subcomponents.

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Answer if you want tho...

Answer if you want tho...

Answers

3 loaves and 3 bananas left over

Answer:

3 loaves 2 bananas left.

Step-by-step explanation:

The answer is asking how many loaves of three bananas Seth can make. 11 can be divided by 3 a total of 3 times, leaving a remainder of 2 bananas that would not be enough to make another loaf.

Diego thinks that x = 3 is a solution to the equation x² = 16. Do you agree?Explain or show your reasoning. *Yes, he is correct.No, he is incorrect. The answer should be 6.No, he is incorrect. The answer should be 9.None of the above

Answers

ANSWER

D. None of the above

EXPLANATION

We want to determine if x = 3 is the solution to the equation given:

\(x^2=16\)

To solve this equation, we have to find the square root of both sides of the equation (the solution will consist of a negative and positive number):

\(\begin{gathered} x=\sqrt[]{16} \\ \Rightarrow x=+4;x=-4 \end{gathered}\)

Therefore, Diego is incorrect but none of the reasons stated is correct.

Hence, the answer is None of the above.

n order to eliminate data redundancy and avoid update anomalies, find the 1nf, 2 nf, and 3nf of the following bookorder tables

Answers

Without specific table structures and dependencies provided, it is not possible to determine the 1NF, 2NF, and 3NF of the bookorder tables.

Please provide the table structures and dependencies of the bookorder tables to determine their 1NF, 2NF, and 3NF.?

To determine the 1NF, 2NF, and 3NF of the bookorder tables, we need to consider the normalization process and identify any dependencies among the attributes. Without the specific table structures and dependencies provided, it is not possible to provide a specific answer. However, in general, the normalization process aims to eliminate data redundancy and update anomalies by organizing data into separate tables based on functional dependencies. In 1NF, each attribute should hold atomic values. In 2NF, non-key attributes should depend on the entire key. In 3NF, non-key attributes should depend only on the key, not on other non-key attributes. The specific normalization steps depend on the specific attributes and dependencies in the given tables.

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One hundred volunteers who suffer from depression are available for a study involving a new drug that is thought to be effective in treating depression. Researchers want to compare the new drug with the drug currently in use. The researchers believe that men and women may respond differently to the drugs. Fifty of the volunteers are selected at random and are given the new drug, and the other 50 are given the drug currently in use. A psychiatrist evaluates the symptoms of all volunteers after four weeks to determine if there has been substantial improvement in the severity of the depression. Which of the following is correct?
A. This is an example of a block design.
B. Both answer options are correct.
C. This is an example of a completely randomized design.

Answers

Step-by-step explanation:

jffkjfkfkro3p2009uh2 that is c my answer

Suppose you borrowed $2,000 at a rate of 9.0% and must repay it in 4 equal installments at the end of each of the next 4 years. How large would your payments be?

Select the correct answer.

a. $614.04
b. $620.64
c. $610.74
d. $623.94
e. $617.34

Answers

An annual payment is found approximately $617.34. The correct option is e.. $617.34.

To find the size of your payments, you can use the formula for calculating the equal installments on a loan.

First, calculate the annual payment by dividing the borrowed amount ($2,000) by the present value factor of an annuity due with 4 periods at a 9% interest rate.

Using a financial calculator or spreadsheet, the present value factor of an annuity due with 4 periods at 9% interest rate is 3.2403.

Dividing $2,000 by 3.2403 gives us an annual payment of approximately $617.34.
Therefore, the correct answer is e. $617.34.

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What value of r makes {2r+3}{5}={4r-3}{7}
true?

Answers

The answer is 2
This is the solution:
What value of r makes {2r+3}{5}={4r-3}{7} true?

practice multiplying monomials and binomials. what is the product of 3x(x2 4)? x2 3x 4 3x3 4 3x3 12x 3x2 12x

Answers

Therefore the solution of the given problem is  product of the equation is 3\(x^{3}\) + 12x.

Define equation.

The equals sign (=) must appear in an equation. You can think of an equation as having a left and a right side since there will be a mathematical expression on either side of it. Consider an equation to be a set of scales. Although you can use different amounts on either side, for it to be solved, each side must be equally balanced .An unknown will always be present in an algebraic equation. This is symbolized by a symbol, such x, y, or z.

Here,

We must calculate the product of 3x(\(x^{2}\) + 4).

In light of the query

Follow all of the instructions listed below to obtain the equation's product.

Equation; 3x(\(x^{2}\) + 4).

Then,

The product of the equation is,

=>3x(\(x^{2}\) + 4).

=>3\(x^{3}\) + 12x

Therefore the solution of the given problem is  product of the equation is 3\(x^{3}\) + 12x.

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Question 1 (t) Express (3x)2 in radical form. 12 (3x) ¹2 = - To get 2x type root(9)(2x) Question 2 29x10 Express 29x10 in radical form. To get 2x type root(9)(2x) Question 3 W13- To get 7 type 7^(1/9

Answers

To express (3x)2 in radical form, we start by understanding that raising a number to the power of 2 means multiplying the number by itself. In this case, we have (3x)2, which means we need to multiply 3x by itself.

Step 1: Multiply 3x by itself: (3x) * (3x) = 9x²

So, (3x)2 can be expressed in radical form as √(9x²).

The expression 29x10 cannot be expressed in radical form because there is no power or exponent involved. Radical form is used to represent expressions with roots or exponents.

To express W13 in radical form, we need to understand that the expression 7^(1/9) represents the ninth root of 7.

Step 1: Take the ninth root of 7: ∛7

So, W13 can be expressed in radical form as ∛7.

(3x)2 can be expressed in radical form as √(9x²).
29x10 cannot be expressed in radical form because there is no power or exponent involved.
W13 can be expressed in radical form as ∛7.
To express an expression in radical form, we need to understand the power or exponent involved and apply the appropriate radical operation.

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What is the value of W in a exterior angle theorem

What is the value of W in a exterior angle theorem

Answers

Answer:

26

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle.

so:

30 + 2w - 8 = w + 48

22 + 2w = w + 48 export like terms to the same side of the equation

2w - w = 48 - 22 subtract

w = 26

Problem 2 How many nonzero entries does the matrix representing the relation R on A = {1,2,3,...,100} consisting of the first positive 100 integers have if R is (a) {(a, b)|a > b} (b) {(a, b) | b - a = 51} (c){(a,b) | ab is multiple of 3}

Answers

(a) Matrix for relation R {(a, b) | a > b} has 4950 nonzero entries.

(b) Matrix for relation R {(a, b) | b - a = 51} has 49 nonzero entries.

(c) Matrix for relation R {(a, b) | ab is a multiple of 3} has 5644 nonzero entries.

Let's analyze each relation separately to determine the number of nonzero entries in the corresponding matrix.

(a) Relation R: {(a, b) | a > b}

In this case, for every pair (a, b) in the relation, a must be greater than b. We need to count the number of such pairs.

Since the set A consists of the first positive 100 integers, we have 100 choices for a. For each a, there are (a - 1) choices for b (all the integers less than a). Thus, the number of pairs (a, b) satisfying a > b is:

Number of pairs = 99 + 98 + ... + 1 = (99 × 100) / 2 = 4950

Therefore, the matrix representing relation R has 4950 nonzero entries

(b) Relation R: {(a, b) | b - a = 51}

In this case, for every pair (a, b) in the relation, the difference between b and a is 51. We need to count the number of such pairs.

Since the set A consists of the first positive 100 integers, we can choose a from 1 to 49 (inclusive), as for any greater than 49, b would exceed 100.

Thus, the number of pairs (a, b) satisfying b - a = 51 is:

Number of pairs = 49

Therefore, the matrix representing relation R has 49 nonzero entries.

(c) Relation R: {(a, b) | ab is a multiple of 3}

In this case, for every pair (a, b) in the relation, the product of a and b must be a multiple of 3. We need to count the number of such pairs.

Since the set A consists of the first positive 100 integers, we have 100 choices for both a and b.

To calculate the number of pairs (a, b) satisfying ab is a multiple of 3, we need to exclude the pairs where both a and b are not multiples of 3.

Number of pairs = (100 × 100) - (66 × 66) = 10000 - 4356 = 5644

Therefore, the matrix representing relation R has 5644 nonzero entries.

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Gary went to the farmer's market on Saturday. He has no more than
$48.00 to spend in his wallet. Gary bought one pumpkin for $7.00 and
several pounds of oranges for $2.50 per pound.
Write an inequality to represent how many pounds of oranges Gary
can buy. Use x for the variable.

Answers

Answer:

7.00+2.50x>48.00

Step-by-step explanation:

He cant spend more than 48.00 so he'll have to spend less than or equal to 48.00

A printing press valued at $120,000 depreciates 12% per year. What will be the approximate value
printing press in seven years? Round your answer to the nearest whole dollar.
A. Growth or Decay
B. Equation:
C. Answer:

Answers

Answer:

1230000

Step-by-step explanation:

this is because of growth and inflation and deflation

12% of 120,000 = 14400

14400x7 = 100800

120,000 - 100800 = 19200

A:DECAY

ANSWER ASAP! 1 question, explanation would be appreciated but not required!
First option is wrong!

ANSWER ASAP! 1 question, explanation would be appreciated but not required!First option is wrong!

Answers

Answer:

choice 3) 50 in

Step-by-step explanation:

A = 625(Pi) in^2

radius = (sq rt 625)(Pi)/Pi

radius = 25

d = 2(radius)

d = 50 in

HELP ME ASAP!!!!!!!!!

HELP ME ASAP!!!!!!!!!

Answers

Hello, please do not cheat on classwork on brainly, as this is against the honor code. Please do not continue this activity.

express in two line copy(-2)×(+3)
(with photo)​

Answers

Answer:

Step-by-step explanation:

The product of a negative two and a positive three is equal to negative six (-6).

What is the equation of a line that is perpendicular the x axis and passes through the point -5,12

Answers

Answer:

x = -5

Step-by-step explanation:

Since the line is perpendicular to the x-axis, its equation is x = -5 without any gradient or added constant.

a square garden has an area of 6400 square find its perimeter​

Answers

Answer:

80

Step-by-step explanation:

Area of a square is LxL where L is the length of the side

so 6400 = LxL

L = 80

:D
..................​

:D ..................

Answers

Answer:

tan(theta) = 3/4

For the set of points given below, write a possible equation for a quadratic function (3, 0), (2, 0), and (3, -12)

Answers

Step-by-step explanation:

I think you made a mistake. (3,0) and (3,-12) are two points not possible for an expression.

Repost the question if you can.

for how many integers $n$ between 1 and 1990 is the improper fraction \[\frac{n^2 7}{n 4}\] not in lowest terms?

Answers

Between 1 and 1990, there are 2,475 integers for which the improper fraction (n^2 * 7) / (n * 4) is not in its lowest terms.

To determine when the fraction is not in lowest terms, we need to find values of n for which the numerator and denominator share a common factor greater than 1. Simplifying the fraction, we get (n * 7) / 4. For the fraction to be in lowest terms, n and 4 must be coprime, meaning they have no common factors other than 1. To find the values of n that violate this condition, we need to identify the multiples of 4 within the range 1 to 1990. There are 497 multiples of 4 in this range. However, since we are looking for values of n, we need to subtract 1 to exclude the multiple 0, yielding 496. Therefore, there are 496 values of n that do not satisfy the coprime condition. Subtracting this from the total number of integers in the range (1990 - 1 = 1989), we find that 1989 - 496 = 1493 integers yield the fraction in lowest terms. Finally, subtracting this number from the total number of integers (1990 - 1), we find that 1990 - 1493 = 497 integers give the fraction (n^2 * 7) / (n * 4) in lowest terms.

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