Consider the function y = (-9x - 2)2. Using the values x = -4 and A x = 0.6, calculate Ay-dy. Round your answer to three decimal places if necessary Answer How to enter your answer fopens in new windo

Answer:

21,20,25,24,29

Step-by-step explanation:

Its -1 then +5

hope this helps.

Answer:

20,19

Step-by-step explanation:

5,4,9,8,13,12,17,16,20,19

all your doing is adding three but you put the bigger number first

The total distance between his house and the school is (2 + 5/8)km

We know that Ryan rides (2 + 3/8) km and then walks (1/4) km, to get the total distance we need to add these two distances.

We will get:

total distance = (2 + 3/8) km + (1/4) km

We need to have the same denominator in both fractions, then we can write the second as:

total distance = (2 + 3/8) km + (1/4) km = (2 + 3/8) km + (2/8) km

total distance = (2 + 3/8 + 2/8) km = (2 + 5/8)km

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Answer:

i don't no because iam not understand tje question

The area of a semi circle is 19.25

We know that,

Area of semicircle = 1/2(πr²)

Therefore,

19.25 = 1/2 * 22/7 * r²

19.25 = 22/14 * r²

19.25 * 14/22 = r²

269.5/22 = r²

12.25 = r²

r = √12.25

r = 3.5 cm

Thus, The radius of the given semicircle is 3.5 cm

Therefore,

Diameter of the given circle = 2 * Radius

Diameter = 2 * 3.5 = 7 cm

Hence, The diameter of the given circle is 7 cm

The first constraint is a linear equation that relates the variables x1, x2, and x3, and the second constraint is an inequality constraint involving x1 and x2The given problem is a linear programming problem in its primal form.

The objective is to maximize the expression z = 7x1 - 5x2 - 2x3, subject to two constraints.. The goal is to find the values of x1, x2, and x3 that maximize the objective function while satisfying the given constraints.

In the primal problem, the objective is to maximize the expression z, which is a linear combination of the decision variables x1, x2, and x3. The coefficients 7, -5, and -2 represent the weights assigned to each variable in the objective function. The constraints represent the relationships and limitations imposed on the variables. The first constraint is an equality constraint, which means that the left-hand side of the equation must equal the right-hand side. The second constraint is an inequality constraint, indicating that the value of the expression 2x1 + x2 must be less than or equal to a certain value.

To solve this linear programming problem, various optimization techniques such as the simplex method or interior point methods can be applied. These methods iteratively adjust the values of the decision variables to find the optimal solution that maximizes the objective function while satisfying the given constraints. By solving the primal problem, the values of x1, x2, and x3 can be determined, leading to the maximum value of the objective function z.

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Answer:  n = 1, n = -1/3

Step-by-step explanation:

     (3n - 1)² = 12n + 8

9n² - 6n + 1 = 12n + 8

9n² - 18n - 7 = 0

Substitute -18n with 3n - 21n and find the common factor of each side:

9n² + 3n         -21n - 7  = 0

3n(3n + 1)       -3(3n + 1) = 0

   (3n - 3) (3n + 1)          = 0

Solve for each factor:

3n - 3 = 0                      3n + 1 = 0

3n       = 3                     3n       = -1

 n       = 1                        n       = -1/3

The correct answer is (C) Yes, because the probability of observing a difference at least as large as the sample difference, if the two population proportions are the same, is less than 0.05.To determine if there is convincing statistical evidence of a difference between the two groups of residents in their opposition to the banning of trans fats, we can conduct a hypothesis test for the difference in population proportions.

The null hypothesis (H0) states that there is no difference between the two population proportions, while the alternative hypothesis (Ha) states that there is a difference.

To conduct the test, we calculate the sample proportions of opposition to the banning of trans fats in each group. In the group with school-age children, the sample proportion is 94/230 = 0.409, and in the group without school-age children, the sample proportion is 147/341 = 0.431.

Next, we calculate the standard error of the difference between the sample proportions using the formula:

SE = sqrt[(p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2)]

where p1 and p2 are the sample proportions, and n1 and n2 are the sample sizes.

After calculating the standard error, we calculate the test statistic, which follows an approximately normal distribution when the sample sizes are large. The test statistic is given by:

test statistic = (p1 - p2) / SE

Using a significance level of 0.05, we compare the test statistic to the critical value from the standard normal distribution.

If the test statistic falls outside the critical region, we reject the null hypothesis and conclude that there is convincing statistical evidence of a difference between the two population proportions. Otherwise, we fail to reject the null hypothesis.

In this case, the correct answer is (C) Yes, because the probability of observing a difference at least as large as the sample difference, if the two population proportions are the same, is less than 0.05.

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Step-by-step explanation:

Bring like terms together

Answer:

4 minutes

Step-by-step explanation:

The value of 7k "minutes past nine" is the same as 8k" minutes to ten".

Since there are 60 minutes in an hour and 9 and 10 fall in between the same hour, this means that:

7k = 60 - 8k

7k + 8k = 60

15k = 60

k = 60 / 15

k = 4 minutes

The representation with the greatest slope is the equation: y = 4x.

To determine which representation, either the table or the equation, has the greatest slope, we need to examine the relationship between the values of x and y in both cases.

Let's start by looking at the table:

x | y

1 | 3

2 | 6

3 | 9

In the table, we can see that as x increases by 1, y increases by 3. This means that for every 1 unit increase in x, there is a corresponding 3 unit increase in y. Therefore, the slope of the table representation can be calculated as:

Slope (table) = (Change in y) / (Change in x) = 3 / 1 = 3

Now let's consider the equation: y = 4x

In this equation, we can see that the coefficient of x is 4. The coefficient of x represents the slope of the equation. Therefore, the slope of the equation is 4.

Comparing the two slopes, we find that the slope of the equation (4) is greater than the slope of the table (3).

Thus, the representation with the greatest slope is the equation: y = 4x.

It's important to note that in this particular scenario, the equation is a simple linear relationship, and the slope is explicitly defined by the coefficient of x. However, in more complex situations, slopes may vary, and it may require additional analysis to determine the slope accurately.

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The probability that z lies between -1.12 and 2.73 in a standard normal distribution is approximately 0.8653.

Let z be a random variable with a standard normal distribution. You need to find the probability P(-1.12 ≤ z ≤ 2.73).
To find this probability, follow these steps:
1. Identify the given values: z1 = -1.12 and z2 = 2.73.
2. For a standard normal distribution, you need to use the standard normal table (z-table) or a calculator with a built-in standard normal distribution function to find the probabilities associated with z1 and z2.
3. Look up the probabilities for z1 and z2 in the z-table or use a calculator:
  P(z ≤ -1.12) = 0.1314 and P(z ≤ 2.73) = 0.9967.

4. Calculate the probability of the given range by subtracting the smaller probability from the larger one:
  P(-1.12 ≤ z ≤ 2.73) = P(z ≤ 2.73) - P(z ≤ -1.12) = 0.9967 - 0.1314 = 0.8653.
5. Round your answer to four decimal places:
  P(-1.12 ≤ z ≤ 2.73) = 0.8653.
So, the probability that z lies between -1.12 and 2.73  is approximately 0.8653.

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Answer:

13.2 g

Step-by-step explanation:

let x = grams sugar in a 200 ml glass

16.5 g sugar / 250 ml = x g sugar / 200 ml

x(250) = (16.5)(200)

x =  (16.5)(200) / (250) = 3300 / 250 = 13.2

Answer:  there are 13.2 g sugar in a 200 ml glass of juice

The value of result in the following expression will be 0 if x has the value of 12:

result = x > 100 ? 0 : 1.

The expression given is known as a ternary operator.

It's a short form of if-else.

The ternary operator is written with three arguments separated by a question mark and a colon:

`variable = (condition) ? value_if_true : value_if_false`.

Here, `result = x > 100 ? 0 : 1;` is a ternary operator, and its meaning is the same as below if-else block.if (x > 100)  {  result = 0; }  else {  result = 1; }

As per the question, we know that if the value of `x` is `12`, then the value of `result` will be `0`.

Hence, the answer is `0`.

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The forecasts for periods 11 through 15 are: F11 = 297.4, F12 = 296.7, F13 = 297.1, F14 = 296.9, F15 = 297.0

Given: Smoothing constant α = 0.45, Forecast for period 10 = 297

We need to calculate the forecasts for periods 11 through 15 using the essential smoothing forecast method.

The essential smoothing forecast is given by:Ft+1 = αAt + (1 - α)

Ft

Where,

At is the actual value for period t, and Ft is the forecasted value for period t.

We have the forecast for period 10, so we can start by calculating the forecast for period 11:F11 = 0.45(297) + (1 - 0.45)F10 = 162.35 + 0.45F10

F11 = 162.35 + 0.45(297) = 297.4

For period 12:F12 = 0.45(At) + (1 - 0.45)F11F12 = 0.45(297.4) + 0.55(297) = 296.7

For period 13:F13 = 0.45(At) + (1 - 0.45)F12F13 = 0.45(296.7) + 0.55(297.4) = 297.1

For period 14:F14 = 0.45(At) + (1 - 0.45)F13F14 = 0.45(297.1) + 0.55(296.7) = 296.9

For period 15:F15 = 0.45(At) + (1 - 0.45)F14F15 = 0.45(296.9) + 0.55(297.1) = 297.0

Therefore, the forecasts for periods 11 through 15 are: F11 = 297.4, F12 = 296.7, F13 = 297.1, F14 = 296.9, F15 = 297.0 (All values rounded to two decimal places)

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Answer:

No solution

Step-by-step explanation:

Parallel lines

Answer:

no solution

Step-by-step explanation:

easy way to remember parallel lines don’t touch.....no solution ever

Yes, any sentence written using addition has its own subtraction equivalent. This is done using the example below.

This can be done using Linear Algebra. Linear Algebra is a branch of mathematics that deals with linear combinations. It includes transformation properties and deals with vectors, planes, mappings, and other spaces.

We can use linear algebra to write equations as discussed in the problem. For example, let's take an unknown variable whose quantity we have to find, which will be x. If we add 13.5 to this variable we get 67.89 as the result.

⇒ x + 13.5 = 67.89    (i)

According to the properties of linear algebra, we can bring the 13.5 on the LHS to the RHS to solve this equation. The 13.5 will become negative in this process -

⇒ 67.89 - 13.5 = x  (ii)

Hence, here we have equation (ii) which is the subtraction equivalent of equation (I). We can solve the equation for the value of x as well and the equations would still be the same.

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Answer:

3.25 <26.50 (put a line under the < sign please  Ok)

0mar can buy 8 bracelets

Step-by-step explanation:

40.00 -13.50 (for hat)

=26.50 remaining

each bracelet cost 3.25  

let x be the bracelets

3.25x < 26.50  (put a line under the < sign ok )

divide both sides by 3,25

3.25x /3.25 < 26.50 /3.25  (put line under the < sign)

x = 8.15   Bracelets cant be in decimal form so round to the nearest whole number   x < 8  (put a line under the < sign)

Therefor Omar can buy  8 bracelets

The function f(x) = 3x^4 + 4x^3 - 12x^2 has the critical numbers 0, -2, and 1. It is increasing on the intervals (-∞, -2) and (0, 1), and decreasing on the interval (-2, 0) and (1, +∞). The absolute extrema of the function occur at x = 1, where f(x) has an absolute maximum, and at x = -2, where f(x) has an absolute minimum.

To determine the intervals where the function f(x) is increasing or decreasing, we need to analyze the sign of its derivative. Taking the derivative of f(x), we obtain f'(x) = 12x^3 + 12x^2 - 24x. Setting this derivative equal to zero, we find the critical numbers of the function: 0, -2, and 1.

To determine where f(x) is increasing or decreasing, we examine the intervals between these critical numbers. When x < -2, f'(x) < 0, indicating that f(x) is decreasing. When -2 < x < 0, f'(x) > 0, meaning f(x) is increasing. For 0 < x < 1, f'(x) > 0 again, so f(x) is increasing. Lastly, when x > 1, f'(x) < 0, indicating that f(x) is decreasing.

Regarding the absolute extrema, we evaluate f(x) at the critical numbers and endpoints of the intervals. At x = -2, f(x) has an absolute minimum since it is the lowest point in the function. At x = 1, f(x) has an absolute maximum as it is the highest point. Thus, the absolute extrema of the function occur at x = -2 and x = 1.

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Answer:

I'm going to check

Step-by-step explanation:

The solution to the linear function M(x) = 180 is of x = -5.

The linear function equation is the slope-intercept form. Thus, it is expressed as f(x) = mx + b where m is the slope and b is the y-intercept of the line.

In this problem, the function is defined as follows:

M(x) = 120 - 12x.

M(x) represents the balance remaining on the gift card after x movie tickets priced at $12 are purchased.

The domain of the situation is given as follows:

x ≥ 0. {discrete}

As the number of tickets cannot assume negative neither decimal values.

The equation is:

M(x) = 180.

The solution is calculated as:

120 - 12x = 180

12x = -60

x = -60/12

x = -5.

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Answer: 65.5584

Step-by-step explanation: Simply multiply 2.4 x 27.316 which will give you the final product & value which is 65.5584.

The value of the expression A = 2.4 x 27.316 is A = 65.5584

Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.

It displays the similarity of the connections between the phrases on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are examples of the parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.

Given data ,

Let the expression be represented as A

Now , the value of A is

Let the first number be p

The value of p = 2.4

Let the second number be q

The value of q = 27.316

On simplifying the equation , we get

A = pq

A = 2.4 x 27.316

The value of A = 65.5584

Therefore , the value of A is 65.5584

Hence , the expression is A = 65.5584

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We need to compute the number of permutations of {1, 2, 3, 4, 5, 6, 7, 8, 9} in which either 2, 3, 4 are consecutive or 4, 5 are consecutive or 8, 9, 2 are consecutive. To do this, we will count the number of favorable permutations for each case and then subtract the overlapping cases to obtain the final count.

Let's calculate the number of permutations for each case separately:

Case 1: 2, 3, 4 are consecutive: We treat {2, 3, 4} as a single element. So, we have 7 elements to arrange, which can be done in 7! = 5040 ways.

Case 2: 4, 5 are consecutive: Similar to Case 1, we treat {4, 5} as a single element. We have 8 elements to arrange, resulting in 8! = 40,320 ways.

Case 3: 8, 9, 2 are consecutive: Again, we treat {8, 9, 2} as a single element. We have 7 elements to arrange, giving us 7! = 5040 ways.

However, we have counted some overlapping cases. Specifically, the permutations in which both Case 1 and Case 2 occur simultaneously and the permutations in which both Case 2 and Case 3 occur simultaneously.

To calculate the overlapping cases, we consider {2, 3, 4, 5} as a single element. We have 6 elements to arrange, resulting in 6! = 720 ways.

To obtain the final count, we subtract the overlapping cases from the total count:

Total count = (Count for Case 1) + (Count for Case 2) + (Count for Case 3) - (Overlapping cases)

= 5040 + 40,320 + 5040 - 720

= 46,680

Therefore, the number of permutations satisfying the given conditions is 46,680.

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Using trigonometric identities in terns of sinθ,  tan²θsin²θ = sin⁴θ/(1 - sin²θ)

Trigonometric identities are mathematical equations that contain trigonometric ratios.

Given the trigonometric identity tan²θsin²θ, we desire to write it in terms of sinθ, we proceed as follows.

Since we have tan²θsin²θ  (1)

Using the trigonometic identity 1 + tan²θ = sec²θ = 1/cos²θ

Making tan²θ subect of the formula, we have that

tan²θ = sec²θ - 1

= 1/cos²θ - 1

So, substituting this into the given equation, we have that

tan²θsin²θ = (1/cos²θ - 1)sin²θ

Now using the trigonometric identity sin²θ + cos²θ = 1

⇒ cos²θ = 1 - sin²θ

So, we have that

tan²θsin²θ = (1/cos²θ - 1)sin²θ

= (1/(1 - sin²θ) - 1)sin²θ

= [1 - (1 - sin²θ )]sin²θ/(1 - sin²θ)

= [1 - 1 + sin²θ )]sin²θ/(1 - sin²θ)

= [0 + sin²θ )]sin²θ/(1 - sin²θ)

= [sin²θ]sin²θ/(1 - sin²θ)

= sin⁴θ/(1 - sin²θ)

So, tan²θsin²θ = sin⁴θ/(1 - sin²θ)

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Answer:

6: 3: 1

Step-by-step explanation:

Let the number of blue, red, and green counters be b, r and g respectively.

"twice as many blue counters... as red counters"

➥b : r = 2 : 1

"3 times as many red counters... as green counters"

➥r : g = 3 : 1

Ensure that the number of parts for r is equal in both ratios. (Since the number of red counters does not change)

1st ratio→ r= 1 part

2nd ratio→ r= 3 parts

Thus, multiply the 1st ratio by 3 so that in both ratio, r= 3 parts.

b : r

= 2(3) : 1(3)

= 6 : 3

b : r= 6 : 3

r : g= 3 : 1

Now that r has equal parts in both ratios, we can combine the 2 ratios together.

b : r : g= 6 : 3 : 1

Answer:

not good destroy body mind effect

Answer:

40.5 mm

Step-by-step explanation:

Use a proportion to find the blueprint's length of the living room.

27 mm is to 6 m as x is to 9 m

27/6 = x/9

6x = 27 * 9

6x = 243

x = 40.5

Answer: 40.5 mm

The percentage increase per year in the winner's check over the given period. If the winner's prize increases at the same rate, it will be $1,454,735,139.69 in 2040.

To calculate the percentage increase per year in the winner's check over the period from 1895 to 2007, we can use the following formula:

Percentage Increase = (Final Value - Initial Value) / Initial Value * 100

a. Calculating the percentage increase:

Initial Value = $140

Final Value = $1,171,000

Percentage Increase = (1,171,000 - 140) / 140 * 100 ≈ 835,714.29%

b. To estimate the winner's prize in 2040, we can assume the same annual percentage increase will continue. We need to calculate the number of years from 2007 to 2040 and apply the percentage increase to the 2007 prize.

Number of years = 2040 - 2007 = 33 years

Estimated prize in 2040 = 1,171,000 * (1 + (Percentage Increase / 100))^33

Estimated prize in 2040 = 1,171,000 * (1 + (835,714.29 / 100))^33 ≈ $1,454,735,139.69

Therefore, if the winner's prize increases at the same rate, it is estimated to be approximately $1,454,735,139.69 in 2040.

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Estimate less than the actual answer are 9.75 (less than 10) and 9.55 (less than 10). Estimate more than the actual answer are 38.315 (more than 38) and 8.4(more than 8).

Estimate, a near enough approximation of the true value. To make arithmetic simpler and more understandable, many assumptions are made.

Estimate is less than actual answer :

6.35 + 3.4 = 9.75

2.3 * 4.15 = 9.545 (≈ 9.55)

Estimate is more than actual answer :

7.9 * 4.85 = 38.315

3.6 + 4.8 = 8.4

So here, Estimate less than the actual answer are 9.75 (less than 10) and 9.55 (less than 10). Estimate more than the actual answer are 38.315 (more than 38) and 8.4(more than 8).

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