Multiply the following

Provide in standard form :)

1) Let's rewrite each inequality by making some algebraic manipulations:

4x -3y < -3

-x +3y > -6

2) Turning from the Standard form to slope-intercept

4x -3y < -3 Subtract 4x from both sides

-3y < -3 -4x Divide both sides by -3

y > 4/3x +1 Multiplying or Dividing by negative numbers swaps the sign too.

-x +3y > -6 Add x from both sides

3y > -6 -x Divide both sides by 3

y >-2 +x/3

3) Plotting the graph

The possible solutions are in the darker common shaded area, so

(-3,1)

Answer:

1.5 hour

Step-by-step explanation:

You divide 6 by 4.

Answer:

7.2 hrs

Step-by-step explanation:

Jack does 4/5 of the work in 6 hrs. He still needs to do 1/5 more if he's doing it by himself. 1/5 of 6 = 1.2 and 1.2 + 6 = 7.2 hrs

The complete question is

"Find the general solution of the given differential equation

y''-y=0, y1(t)=e^t , y2(t)=cosht

The function \(y(t)=e^t\)  is the solution of the given differential equation.

The function y(t)=cosht is the solution of given differential equation.

The function is a type of relation, or rule, that maps one input to specific single output.

Given;

\(y_1(t) = e^t\)

Given differential equations are,

y''-y = 0

 So that,  

\(y' (t) = e^t, y'' (t) = e^t\)

Substitute values in the given differential equation.

\(e^t -e^t=0\)

Therefore, the function \(y(t)=e^t\)  is the solution of the given differential equation.

Another function;

\(y(t)=cosht\)  

So that,  

\(y"(t)=sinht\\\\y"(t)=cosht\)

Hence, function y(t)=cosht is solution of given differential equation.

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Answer:

so 4(5+4) would be an answer

Step-by-step explanation

What you should do is find a number that can be divided into both numbers. so 4 as an example, so that number that you use as the divisor goes on the outide of the paranthesis. The inside becomes the quotient of the divisors and the symbol remains the same.

The final price of the refrigerator, after the 30% markup and 20% discount, is 1.04 times the wholesale price.

To calculate the final price of the refrigerator after the markup and discount, you can follow these steps:

Determine the wholesale price of the refrigerator.

Apply a 30% markup to the wholesale price to calculate the marked-up price.

Apply a 20% discount to the marked-up price to calculate the final price.

Let's assume the wholesale price of the refrigerator is $W.

Markup: 30%

Marked-up price = Wholesale price + (30% of Wholesale price) = W + 0.3W = 1.3W

Discount: 20%

Final price = Marked-up price - (20% of Marked-up price) = 1.3W - 0.2(1.3W) = 1.3W - 0.26W = 1.04W

Therefore, the final price of the refrigerator, after the 30% markup and 20% discount, is 1.04 times the wholesale price.

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Answer:

Change ≈ 284.6154%

Step-by-step explanation:

To calculate the percent change of two numbers such as 450 to 117, you use the Percent Change Formula, where a is the start value and b is the end value.

(b-a)/a x 100

When we insert a = 450 and b = 117 in the formula above, then we get the following that we can simplify and solve to get the percent change from 450 to 117.

(117-45)/450 x 100

-333/450 x 100

Change = -74%

Now you know that the percentage change from 450 to 117 is -74%. Since it is a negative answer, it means that if you subtract 74% from 450, then you will get 117.

Answer:

x= 15

Step-by-step explanation:

first you subtract 1 then you multiply everything by 5 then  you divide by 2

hope this helps

Answer:

∠JKH and ∠GHF

Step-by-step explanation:

hey there,

< Corresponding means "the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal." The lines here are parallel so they are equal.

If you don't understand the meaning of the angles also, feel free to ask me about that too.

The two angles I listed are equal to equal to each other. When you look at the other options, they aren't equal, they might look less or more degrees.

If this won't be a multiple choice but short answer, try looking at angles that look similar and see if they would be able to match with the angle given. >

Hope this helps! Feel free to ask anything else.

When dealing with the simultaneous occurrence of two events A and B, the probability can be determined by using the probability of one event and the conditional probability of the other event given that the first event has occurred. Both P(A) * P(B|A) and P(B) * P(A|B) are valid ways to calculate this probability.

The concept of probability is fundamental in various fields such as mathematics, statistics, and even in everyday life. The probability of the simultaneous occurrence of two events A and B is a critical concept in probability theory. According to the definition, the probability of A and B occurring at the same time is equal to the probability of A multiplied by the conditional probability of B given that A has occurred. This equation is also valid in the reverse case, where the probability of B and A occurring simultaneously is equal to the probability of B multiplied by the conditional probability of A given that B has occurred.

Understanding the relationship between the probability of two events and their conditional probabilities is essential in predicting the likelihood of these events happening together. In real-life situations, this concept can be used to determine the probability of two events such as the success of a product launch and the corresponding increase in sales. The probability of these two events occurring simultaneously can be predicted by analyzing the probability of the product launch's success and the conditional probability of sales increasing given that the product launch is successful.

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Answer:

$50

Step-by-step explanation:

5= 26+4=30

6=30+4=34

7=34+4=38

8=38+4=42

9=42+4=46

10=46+4=50

Rose would be saving 50 dollars after 10 months. At first Rose only had $10 in 0 months and $14 in the next month and again.This means that every month it adds up to another $4. If you want to find the total or 10 months keep on add 5 4 times which is 20. Then add 30 from the 0-5 months and which gives you $50. So Rose would be saving up 50 bucks in 10 months.

The k-value represents the factor by which the old circumference has been multiplied to get the new circumference. To find the k-value, we can use the following formula , the k-value is approximately 1.16.

k = New Circumference / Old Circumference

To find the k-value, we need to use the formula:

new circumference = k x old circumference

Substituting the given values:

95 = k x 82

Solving for k:

k = 95/82

k = 1.1585

Rounding off to two decimal places, k ≈ 1.16

Therefore, the k-value is approximately 1.16.

The k-value is approximately 1.16.

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The  value of x in the interval (3 < x < 6) for which the rate of change of the cost is zero.

(a) To verify that C(3) < C(6), we have to find the values of C(3) and C(6).The given function is C(x) = s(x x+3)The order size is measured in hundreds. So, when x = 3, the order size is 300 and when x = 6, the order size is 600.Therefore, C(3) = s(3 x 3+3) = s(18) and C(6) = s(6 x 6+3) = s(39)Now, as s(x) > 0, we can see that C(6) > C(3). Hence, C(3) < C(6).(b) According to Rolle's Theorem, the rate of change of the cost must be 0 for some order size in the interval (3 < x < 6).We know that the function is continuous and differentiable in the interval (3 < x < 6). Now, the rate of change of the cost is given by the derivative of the function C(x) with respect to x.C(x) = s(x x+3)C'(x) = s[1 + (x + 3) . 1] = s(1 + x + 3) = s(x + 4)As per Rolle's Theorem, there must exist a value of x in the interval (3 < x < 6) such that C'(x) = 0.So, s(x + 4) = 0x + 4 = 0x = -4Thus, the order size is -4 x 100 = -400. However, this is an absurd answer as the order size cannot be negative. Therefore, there is no value of x in the interval (3 < x < 6) for which the rate of change of the cost is zero.

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The limit of f(s) as s approaches 6 does not exist because the function has two different values for s approaching 6 from the left and from the right.

A limit is a concept in mathematics that deals with finding the value that a function approaches as the independent variable approaches a certain value.

We need to consider two different cases, as the function f(s) has different definitions for s less than or equal to 6 and s greater than 6.

For s less than or equal to 6, the function f(s) is defined as

=> 3s - 4.

As s approaches 6, the value of f(s) will approach

=> 3 * 6 - 4 = 14.

For s greater than 6, the function f(s) is defined as

=> 7 - 1/2 * s.

As s approaches 6, the value of f(s) will approach

=> 7 - 1/2 * 6 = 4.

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The real-world problem involving a related set of two equations is given below:

Problem: Cost of attending a concert  is made up of base price and variable price per ticket. You are planning to attend a concert with your friends and want to know the number of tickets to purchase for lowest overall cost.

The related set of two equations are:

Equation 1: The total cost (C) of attending the concert is given by:

The equation C = B + P x N,

where:

B  = the base price

P  = the price per ticket,

N = the number of tickets purchased.

Equation 2: The maximum budget (M) a person have for attending the concert is:

The  equation M = B + P*X

where:

X = the maximum number of tickets a person can afford.

So by using the values of B, P, and M, you can be able to find the optimal value of N that minimizes the cost C while staying within your own budget M. so, you can now determine ticket amount to minimize costs and stay within budget.

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The probability that the difference is at least as large as the value the attendant observes is 0.3174.

To find the probability that the difference in NOX levels between two randomly chosen cars of this type is at least as large as the value observed by the test station attendant, we need to calculate the probability of the difference being greater than or equal to the observed difference.

Given that the NOX levels follow a Normal distribution with a mean of 1.4 grams/mile and a variance of 0.09 grams/mile^2, we can use these parameters to standardize the data and calculate the probability using z-scores.

First, we calculate the standard deviation (σ) by taking the square root of the variance: σ = √(0.09) = 0.3 grams/mile.

Next, we calculate the z-score for each observed value:

z1 = (1.1 - 1.4) / 0.3 = -1,

z2 = (1.9 - 1.4) / 0.3 = 1.67.

Now, we find the probability of the difference being at least as large as the observed value by finding the area under the standard normal curve corresponding to z ≥ 1 or z ≤ -1.

P(z ≥ 1 or z ≤ -1) = P(z ≥ 1) + P(z ≤ -1).

Using a standard normal distribution table or a calculator, we can find the probabilities:

P(z ≥ 1) ≈ 0.1587,

P(z ≤ -1) ≈ 0.1587.

Therefore, P(z ≥ 1 or z ≤ -1) ≈ 0.1587 + 0.1587 = 0.3174.

Thus, the probability that the difference in NOX levels between two randomly chosen cars of this type is at least as large as the value observed by the test station attendant is approximately 0.3174 or 31.74%.

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Answer:

52 degrees

Step-by-step explanation:

the sides are equal

Answer:

52 degrees

Step-by-step explanation:

since each side have one line, they are both equal, which means that x is also 52 degrees

hope this helps

take care

Answer:

\((a)\ f(8) = 200(1 + 3.1\%)^8\)

(b) After 8 years, the savings account has $255.32

Step-by-step explanation:

Given

\(a = 200\) ---- initial (i.e. when t = 0)

\(r =3.1\%\)

\(t = 8\)

Solving (a): Model the situation

For growth, an exponential function is represented as:

\(f(t) = a(1 + r)^t\)

This gives:

\(f(8) = 200(1 + 3.1\%)^8\)

Solving (b): The solution to (a)

We have:

\(f(8) = 200(1 + 3.1\%)^8\)

Express percentage as decimal

\(f(8) = 200(1 + 0.031)^8\)

\(f(8) = 200(1.031)^8\)

\(f(8) = 200*1.2766\)

\(f(8) = 255.32\)

Answer:

hahdg duchy jejeurur y ed sethi. riruru. udhrhru. ueeh

Answer:

10 songs

Step-by-step explanation:

Let number of songs Craig and Jeff downloaded be s

5.50 + 0.25s = 0.80s

5.50 = 0.55s

s = 10

Answer:

5 inches = 12.7 cm

Step-by-step explanation:

Answer:

12.7

Step-by-step explanation:

if x = 2.54

then 5x = 12.7

5 x 2.54 = 12.7cm

Answer:

D is the correct ans

Step-by-step explanation:

Because

Measuring instruments may require calibration before use, an outside micrometer is not suitable for measuring part length and shaft diameter, and the vernier scale further divides smallest increment on main scale.

1.1.1. True. Some measuring instruments, such as gauges, require calibration before use to ensure their accuracy. This calibration often involves adjusting the zero mark on the gauge to align with a true zero reading, ensuring precise measurements.  1.1.2. False. An outside micrometer is not typically used for measuring part length and shaft diameter. It is more suitable for measuring external dimensions, such as the thickness or diameter of objects.

1.1.3. True. On a vernier scale, the smallest increment on the main scale is further divided by the vernier scale. This allows for more precise readings by measuring the difference between the two scales. 1.2. The micrometer has two scales, one on the sleeve and one on the thimble. The mark on the thimble is given in millimeters (mm). One revolution of the thimble equals the pitch of the screw thread, which is typically 0.5 mm or 0.025 inches, and corresponds to the linear movement of the spindle.

In summary, measuring instruments may require calibration before use, an outside micrometer is not suitable for measuring part length and shaft diameter, and the vernier scale further divides the smallest increment on the main scale. The micrometer consists of scales on the sleeve and thimble, with the thimble's mark given in millimeters and each revolution corresponding to the pitch of the screw thread.

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The perimeter of a rectangle measuring 4.1263cm long and 2.8315cm is 13.9 cm

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

Length = 4.1263 cm

Width = 2.8315 cm

The perimeter of a rectangle can be calculated using tge following equation

Perimeter = 2 x (Length + Width)

substitute the known values in the above equation, so, we have the following representation

Perimeter = 2 x (4.1263 + 2.8315)

Evaluate

Perimeter = 13.9156

Approximate

Perimeter = 13.9 to 3 significant figures

Perimeter = 13.916 to 3 decimal places

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Answer:

x=15/19

Step-by-step explanation:

You have to start by multiplying the denominators by the numerators. I doesn't matter which you do first, as you can see, I chose to multiply the 6 by the 4x first.

Once that is completed, it is a simple matter of rearranging the equation so it begins with x=...

To do this, just subtract 5x and then divide by 19 on both sides to get the final fraction.

I have attached a photograph of my workings.

The correct statement regarding Python indentation is that incorrect indentation will result in an "IndentationError."

The correct output for the given "for" loop and "range" function is:

99 88 77 66 55 44 33 22 11 0 -11

Regarding the statement about a "Fatal" logic error in Python, the correct answer is:

In script mode - Python displays a traceback, then terminates the script.

When a fatal logic error occurs in Python during script execution, Python will display a traceback message that provides information about the error, such as the line where it occurred, and then terminates the script. This traceback message helps in debugging the code and identifying the cause of the error.

In interactive mode, if a fatal logic error occurs, Python will also display a traceback message but will not terminate the entire session. Instead, it will allow you to continue entering new commands or snippets of code.

Regarding Python indentation, the correct statement is:

Incorrect indentation will result in an "IndentationError."

Python relies on indentation to define the grouping and structure of code blocks. It uses consistent indentation to determine which lines of code belong to a particular block, such as loops or conditional statements. If the indentation is incorrect or inconsistent, Python will raise an "IndentationError" and the code will not run successfully.

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Answer:

Rhombuses

Step-by-step explanation:

It has four vertical lines, then draw a Venn Diagram, opposite to opposite.

Order from Venn Diagrams:

Quadrilaterals

Rectangles

Squares

Rhombuses.

The value of y = -651. To find the value of y when x = -10 and z = 20, given that y varies jointly as x and z and y = 179 when x = -5 and z = -11, follow these steps:

Step 1: Understand that "y varies jointly as x and z" means y = kxz, where k is the constant of variation.

Step 2: Use the given values (y = 179, x = -5, z = -11) to find k. Substitute these values into the equation:
179 = k(-5)(-11)

Step 3: Solve for k:
179 = 55k
k = 179 / 55
k = 3.2545 (rounded to the nearest hundredth)

Step 4: Use the found value of k (3.2545) and the new values of x (-10) and z (20) to find the new value of y:
y = (3.2545) (-10)(20)
Step 5: Calculate y:
y = -651
So, when x = -10 and z = 20, y = -651.

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