what is the initial value of y= -3x​

Answer:

Distributive property

Step-by-step explanation:

Distributive property states that,

multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

That is,

a(b + c) = ab + ac

3 avocados cost $0.40 each

3x0.40

= $1.2

5 lemons cost $0.40 each.

5x0.40

= $2

Total = $1.2 + $2

= $3.2

Using distributive property

(3+5)0.40

= 8(0.40)

= $3.2

Answer: Distributive property

Step-by-step explanation:

The Distributive property is the same as a(b + c) = ab + ac

Personal car would be the best option to manage both tasks efficiently. While the train is a reliable mode of transportation, it may have fixed schedules that might not align perfectly with Patrick's needs.

On the other hand, using his personal car provides more flexibility and allows him to tailor the departure time according to his daughter's coding class schedule.

If Patrick decides to take the train, he would need to check the train schedule to see if there are convenient departure and arrival times for both the soccer game and the coding class. This option would require planning and coordination to ensure he arrives at the game on time and can pick up his daughter afterward.

Using his personal car gives Patrick the freedom to leave at a time that accommodates both the soccer game and the coding class. He can drop off his daughter at her coding class, attend the soccer game, and then pick her up afterward without being restricted by train schedules.

Considering the circumstances, Patrick might find it more convenient to use his personal car to manage both tasks effectively and ensure he can attend his son's soccer game while also ensuring his daughter arrives at her coding class on time.

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Answer: 6

Step-by-step explanation:

The typical way to solve this problem is with the Pythagorean Theorem, which states that a^2 + b^2 = c^2, where a and b are the legs of the right triangle, and c is the hypotenuse.  Unfortunately, due to a lack of a diagram, I am forced to infer.

Because the most famous Pythagorean triplet is 3, 4, 5, and 8 and 10 are multiples of the latter two terms, I can infer that the final side length is 6.

Hope it helps :) and if it is wrong, please let me know, and repost another question with the provided diagram.

Answer:

36.25 = 8.75*x

36.25/8.75 = x

x = 4.1428571429 feet in length

Answer:

$20

Step-by-step explanation:

10% = 10/100 = 0.1

So 10% of 200 = 200 x 0.1 = 20

(i) The 90% confidence interval for the population parameter is (27.37, 45.79).

(ii) The interval (boundary values) of the 90% confidence interval is shown on the distribution graph.

After calculating the lower and upper limits using the formula above, the interval is found to be (27.37, 45.79) and  we can be 90% confident that the population parameter lies within this range.

Given the following information:

Random sample of 18 students

Sample standard deviation = 10.49

90% confidence interval

To find:

(i) Form a 90% confidence interval for the population parameter.

(ii) Show the interval (boundary values) on the distribution graph.

The population variance can be estimated using the sample variance. Since the sample size is small (n < 30) and the population variance is unknown, we will use the t-distribution instead of the standard normal distribution (z-distribution). The t-distribution has fatter tails and is flatter than the normal distribution.

The lower limit of the 90% confidence interval is calculated as follows:

Lower Limit = sample mean - (t-value * standard deviation / sqrt(sample size))

The upper limit of the 90% confidence interval is calculated as follows:

Upper Limit = sample mean + (t-value * standard deviation / sqrt(sample size))

The t-value is determined based on the desired confidence level and the degrees of freedom (n - 1). For a 90% confidence level with 17 degrees of freedom (18 - 1), the t-value can be obtained from a t-table or using statistical software.

After calculating the lower and upper limits using the formula above, the interval is found to be (27.37, 45.79).

(ii) Showing the interval (boundary values) on the distribution graph:

The distribution graph of the 90% confidence interval of the variance of the students' final grade is plotted. The range between 27.37 and 45.79 represents the interval. The area under the curve between these boundary values corresponds to the 90% confidence level. Therefore, we can be 90% confident that the population parameter lies within this range.

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Answer:

i gotchuuu

Step-by-step explanation:

slope is 9/-2. this is because i used the slope formula y2-y1 over x2-x1. hope this helped :)

6000*16=96000+120000=216000

Answer:

x^5+15x^4y^1+90x^3y^2+270x^2y^3+405x^1y^4+243y^5

A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.

A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.

A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.

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The solution to the system of equations is x = 1 and y = 1.

To solve the system of equations using substitution, we start by solving one equation for one variable and substituting it into the other equation. Given the system of equations:

1) 4x + 3y = 7

2) 3x + 5y = 8

We can solve equation 1 for x:

4x = 7 - 3y

x = (7 - 3y)/4

Now, substitute this expression for x into equation 2:

3((7 - 3y)/4) + 5y = 8

Simplify the equation:

(21 - 9y)/4 + 5y = 8

Multiply both sides by 4 to eliminate the fraction:

21 - 9y + 20y = 32

Combine like terms:

11y = 11

Divide both sides by 11:

y = 1

Now, substitute the value of y back into equation 1 to solve for x:

4x + 3(1) = 7

4x + 3 = 7

4x = 7 - 3

4x = 4

x = 1

Therefore, the solution to the system of equations is x = 1 and y = 1.

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The shop should build 0.7 hundred, or 70 bicycles to minimize the average cost per bicycle.

To find the number of bicycles that will minimize the average cost per bicycle, we need to find the minimum point of the quadratic function C(x) = 0.5x^2 - 0.7x + 5.757.

We can do this by finding the x-value of the vertex of the parabola defined by C(x). The x-coordinate of the vertex is given by:

x = -b/(2a)

where a and b are the coefficients of the quadratic equation ax^2 + bx + c = 0.

In this case, a = 0.5 and b = -0.7, so we have:

x = -(-0.7)/(2*0.5) = 0.7/1 = 0.7

Therefore, the shop should build 0.7 hundred, or 70 bicycles to minimize the average cost per bicycle.

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Answer:

Original number we'll call "x".

2x + 14 = 17.2

x = 1.6

Step-by-step explanation:

Answer:

Original number we'll call "x".

2x + 14 = 17.2

x = 1.6

Step-by-step explanation:

Learn

Ellen renovates his square farmhouse foyer that has a side of 15 feet. Therefore, the area of Ellen's square farmhouse foyer is 225 square feet.

The area of Ellen's square farmhouse foyer, with a side of 15 feet, is 225 square feet.

To find the area of a square, you need to multiply the length of one side by itself.

In this case, the side of the square foyer is 15 feet, so you simply need to multiply 15 by 15.

15 x 15 = 225

Therefore, the area of Ellen's square farmhouse foyer is 225 square feet. This measurement can be useful for determining how much flooring, paint, or other materials are needed to complete the renovation project.

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The main answer to your question is "interchanging". To find the inverse of a function, we interchange the numbers in each ordered pair of the function. This means that we switch the x and y values of each point in the function.

For example, if we have a function f(x) = 2x + 3, the ordered pairs would be (1,5), (2,7), (3,9), etc. To find the inverse function, we would switch the x and y values of each point to get ordered pairs such as (5,1), (7,2), (9,3), etc.

The explanation for why we interchange the numbers is that the inverse function "undoes" the original function. If we apply the original function to a number, the inverse function will take us back to the original number. By switching the x and y values, we make sure that the inverse function will undo the original function.

In conclusion, to find the inverse of a function, we interchange the numbers in each ordered pair of the function. This ensures that the inverse function will undo the original function.
Hi! I'm happy to help you with your question.

Main answer: The inverse of a function can be found by interchanging the numbers in each ordered pair of the function.

Explanation: When finding the inverse of a function, you are essentially swapping the input and output values in each ordered pair (x, y) to create a new ordered pair (y, x). This process is called interchanging the numbers in the ordered pair.

Conclusion: To find the inverse of a function, you need to interchange the numbers in each ordered pair of the function, which essentially swaps the input and output values.

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Answer:

y=4(3)^x

Step-by-step explanation:

The exponential function, that goes through points (0,4) and (6, 2916) is y = 4(3)ˣ

An exponential function is a mathematical function used to calculate the exponential growth or decay of a given set of data.

Given that, a graph of an exponential function is passing through, (0,4) and (6, 2916)

The exponential form of an equation is given by =

y = abˣ

Where, a is the y-intercept,

a = 4 here,

y = 4bˣ

Now substitute 6 for x and 2916 for y,

2916 = 4(b)⁶

b⁶ = 729

b = 3

Therefore,

y = 4(3)ˣ

Hence, the exponential function, that goes through points (0,4) and (6, 2916) is y = 4(3)ˣ

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Since we can't have a fraction of a year, we need to round up to the equation nearest whole number. Therefore, it will take at least 7 years for the value of the car to be less than $3,000.

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the number "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.

V(1) = 0.85 * 12,900 = $10,965

V(2) = 0.85 * 10,965 = $9,320.25

\(V(n) = 0.85^n * 12,900\\0.85^n * 12,900 < 3,000\\n > log(3,000/12,900) / log(0.85)\\n > 6.48\\\)

Since we can't have a fraction of a year, we need to round up to the nearest whole number. Therefore, it will take at least 7 years for the value of the car to be less than $3,000.

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Answer:

9 years

Step-by-step explanation:

As the car depreciates at a constant rate of 15% each year, we can use the exponential decay formula to find the value of the car after t years.

\(\boxed{f(t)=a(1-r)^t}\)

where:

Given the purchase price of the car is $12,900, a = 12900.

Given the car will depreciate at a rate of 15%, r = 0.15.

Substitute the values of a and r into the formula to create a function for the value of car after t years is:

\(f(t)=12900(1-0.15)^t\)

\(f(t)=12900(0.85)^t\)

To calculate after how many years the value of the car will be less than $3,000, substitute f(t) < 3000 and solve for t.

\(\implies 12900(0.85)^t < 3000\)

Divide both sides by 12900:

\(\implies (0.85)^t < \dfrac{3000}{12900}\)

\(\implies (0.85)^t < \dfrac{10}{43}\)

Take natural logarithms of both sides:

\(\implies \ln (0.85)^t < \ln\left(\dfrac{10}{43}\right)\)

Apply the log power law:

\(\implies t \ln (0.85) < \ln\left(\dfrac{10}{43}\right)\)

Divide both sides by ln(0.85), remembering to change the direction of the inequality sign since ln(0.85) is negative:

\(\implies t > \dfrac{\ln\left(\dfrac{10}{43}\right)}{\ln (0.85)}\)

\(\implies t > 8.9750695...\)

We need to round up to 9 years, since we can't have a fraction of a year.

Therefore, the value of the car will be less than $3,000 after 9 years.

The value of the expression 1+1+1+1+11+1+1+1+11+1x0+1 is 30.

To evaluate the given expression, we follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

First, we perform the multiplication: 1x0 = 0. The expression now becomes 1+1+1+1+11+1+1+1+11+0+1.

Next, we perform the addition and subtraction operations from left to right: 1+1 = 2, 2+1 = 3, 3+1 = 4, 4+11 = 15, 15+1 = 16, 16+1 = 17, 17+1 = 18, 18+11 = 29, 29+0 = 29, and finally 29+1 = 30

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PLEASE GIVE BRAINLIEST <33

Answer:

The answer is 30

Step-by-step explanation:

First we'll start with PEMDAS

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

We'll start with multiplication: 1x0=0

Now the equation is: 1 + 1 + 1 + 1 + 11 + 1 + 1 + 1 + 11 + 1

Since we have two sets of 11, it would equal 22

Now the equation is: 22 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1

We have eight sets of 1. Adding them all together would equal 8.

Now the equation is: 22 + 8 which would equal 30

Step-by-step explanation:

b)

make it braintliest please

Answer:

1. x= y-3

x+y=26

2.The slope is 1 and the y-intercept is -7.

Step-by-step explanation:

1. If x is boys and y is girls

x= y-3

x+y=26

2. the equation is in the form of y=mx+b

m is slope and b is the y-intercept

in y=1x-7 (which is the same as y=x-7) The slope is 1 and the y-intercept is -7.

The probability that both cards are aces is 0.45%.

Given that,

A standard 52-card deck is used to deal two cards. In other words, two cards are uniformly and randomly sampled without being replaced.

There are four aces in the deck of 52 cards. The likelihood of drawing an ace when you draw a card is 4/52=1/13.

There are only 51 cards left when the second card is drawn, and since an ace has already been drawn, just 3 of those cards are still in the deck. Therefore, there is a 3/51 chance of drawing the second ace. The likelihood that both of these events occur is 1/13 x 3/51 = 0.00452. (approx). Thus, there is a 0.45% chance of drawing two aces.

Combinations and permutations offer a different perspective on this. There are 52C2 different methods to choose two cards from a deck. The entire sample space is shown here.

Therefore, the probability that both cards are aces is 0.45%.

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Answer:

Dot number 2. Makayla invests her money 2 years longer.

Step-by-step explanation:

Calvin 400$ with 5% interest compounded monthly will get you to 666.0294029241$ after 13 months or 1 year and 1 month

Makayla 300$ with 6% interest quarterly

1st year 378.743088$(4 quarters)

2nd year 478.1544223592$(+4 quarters)

3rd year 603.6589415506$(+4 quarters)

3rd year and 1 quarter 639.8784780436$

Answer:

So the second option is the answer: Makayla invests her money 2 years longer.

Step-by-step explanation:

Formula for compound interest: \(A=P(1+\frac{r}{n})^{nt}\)

Calvin:

\(A=658.80\)

\(P=400\)

\(r=0.05\)

\(n=12\)

\(t=?\)

Makayla:

\(A=613.04\)

\(P=300\)

\(r=0.06\)

\(n=4\)

\(t=?\)

Lets solve for \(t\).

1)  Divide both sides of the equation by \(P\).

\(\frac{A}{P} =(1+\frac{r}{n})^{nt}\)

2)  Take the natural log of both sides.

\(ln(\frac{A}{P}) =ln((1+\frac{r}{n})^{nt})\)

3)  Rewrite the right side of the equation using properties of exponents.

\(ln(\frac{A}{P}) =nt*ln(1+\frac{r}{n})\)

4)  Divide each side of the equation by \(n*ln(1+\frac{r}{n})\)

\(\frac{nt*ln(1+\frac{r}n)}{n*ln(1+\frac{r}n)}=\frac{ln(\frac{A}{P})}{n*ln(1+\frac{r}n)}\)

5)  Cancel the common factor \(n\) on the left side of the equation.

\(\frac{t*ln(1+\frac{r}n)}{ln(1+\frac{r}n)}=\frac{ln(\frac{A}{P})}{n*ln(1+\frac{r}n)}\)

6)  Cancel the common factor of \(ln(1+\frac{r}{n})\).

\(t=\frac{ln(\frac{A}{P)}}{n*ln(1+\frac{r}{n})}\)

Now we have an equation for \(t\) that we can use to answer your question.

For Calvin:

\(t=\frac{ln(\frac{658.80}{400)}}{12*ln(1+\frac{0.05}{12})}\)

\(t=10\)

For Makayla:

\(t=\frac{ln(\frac{613.04}{300)}}{3*ln(1+\frac{0.06}{3})}\)

\(t=12\)

So the second option is the answer: Makayla invests her money 2 years longer.

Note: This question took me 2 minutes to answer but typing it took 30. lol

Solving a linear equation we will see that the measures of the angles are:

∠1 = = 6°

∠2  = 84°

We can see that we have a right angle (this is a 90° angle) and it is divided in the angles ∠1 and ∠2.

Then we can write:

∠1 + ∠2 = 90°

And we know that:

∠1 = x - 8

∠2 =  6x

Then we can write the linear equation:

x - 8 + 6x = 90

We can solve that for x toget:

x - 8 + 6x = 90

7x = 90 + 8

x = 98/7 = 14

Then the measures of the angles are:

∠1 = x - 8 = 14 - 8 = 6°

∠2 =  6x = 6*14 = 84°

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The cost of spices in US dollars is $5.45

The cost of spices in Indian rupees = 401.39 rupees

The exchange rate is

1 dollar:73.6500 rupees

So we have to exchange the Indian rupees to the US dollars

The cost of spices in Indian rupees = 401.39 rupees

The cost of spices in US dollars = The cost of spices in Indian rupees / 73.6500

Substitute the values in the equation and fins the cost of spices in US dollars

The cost of spices in US dollars = 401.39 / 73.6500

Divide the numbers

= $5.45

Hence, the cost of spices in US dollars is $5.45

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Let:

C = Total cost

b = price for the shoe rentals = $15

g = Number of games

a = Price of each game = $4

a)

b) Since:

The slope represents an increase in cost.

c) The y-intercept represents the $15 cost up front

-----

Answer:

Blank 1:

Blank 2:

The slope represents an increase in cost.

Blank 3:

The y-intercept represents the $15 cost up front

The expected value of the "Buy New" option is 724732.60.

Decision Tree:

To solve the given problem, the first step is to create a decision tree. The decision tree for the given problem is shown below:

Expected Value Calculation: The expected value of the "Buy New" option can be calculated using the following formula:

Expected Value = (Prob. of Prosperity * Payoff for Prosperity) + (Prob. of Recession * Payoff for Recession)

Substituting the given values in the above formula, we get:

Expected Value for "Buy New" = (0.7 * 1,035,332) + (0.3 * -150,000)Expected Value for "Buy New" = 724,732.60

Therefore, the expected value of the "Buy New" option is 724,732.60.

Conclusion:

To conclude, the decision tree is an effective tool used in decision making, especially when the consequences of different decisions are unclear. It helps individuals understand the costs and benefits of different choices and decide the best possible action based on their preferences and probabilities.

The expected value of the "Buy New" option is 724,732.60.

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Christy and Adam spent a total of $30.749 at Walmart.

To calculate the total amount spent, we need to determine the individual costs of each item and then sum them up.

1. The pack of chicken is priced at $12.97.

2. The gallon of milk costs $4.97.

3. They bought 4 bags of chips for a deal of 2 for $5.00. This means each bag costs $5.00 / 2 = $2.50. So, the total cost of 4 bags of chips is 4 * $2.50 = $10.00.

4. They purchased 10 Sam's Choice 2-liter drinks for $0.67 each. The total cost of these drinks is 10 * $0.67 = $6.70.

So far, the total cost without considering any discounts is:

$12.97 (chicken) + $4.97 (milk) + $10.00 (chips) + $6.70 (drinks) = $34.64.

However, there was a 30% discount on the pack of chicken. To calculate the discounted price, we need to find 30% of $12.97, which is (30/100) * $12.97 = $3.891.

The discounted price of the pack of chicken is $12.97 - $3.891 = $9.079.

Therefore, the final total amount spent is:

$9.079 (discounted chicken) + $4.97 (milk) + $10.00 (chips) + $6.70 (drinks) = $30.749.

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Answer:

Set the denominator to zero and solve for x.

Step-by-step explanation:

This is simply the process for finding the VA of a function. By setting the denominator to zero and solving for x, you find all values of which the function will return an undefined value (since you cannot divide by 0).

Answer:

5.50 Each

Step-by-step explanation:

Answer:

Step-by-step explanation:

3P + 4N = 28

6P+ 8N = 56

4P +8N  52

2P     = 4

P = 4/2 = 2  = $2

3(2)+4N = 28

4N = 28-6=22

N = 22/4 = 5.5= $5.50= cost of one notebook

Answer:

Step-by-step explanation:

Radius r = 15

Circumference = 2πr = 30π cm

Circumference of cone = arc length of sector

= 30π × 216°/360°

= 18π cm

Radius of base of cone = 18π/(2π) = 9 cm

Slant height of cone = radius of circle = 15 cm

Height of cone = √(15² - 9²) = 12 cm