Shelia buys flower bulbs from a catalog $2 each and $4 shipping charge for the whole order. She spends $20 on flower bulbs. The model can be used to describe x, the number of bulbs Shelia can order. Write an equation to determine the number of bulbs Shelia can order. How many bulbs did she order?

find dy/dx

x= t sin(t); (Given in the question)

y= t²+8t; (Given in the question)

then, x= t sin(t)

dx/dt = sin t + t cos t ;

y= t²+8t

dy/dt = 2t + 8;

then, dy/dx = dy/dt x dx/dt

dy/dx = (2t+8)/(sin t + t cos t)

dy/dx = 2(t+4)/(sin t + t cos t)

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The expressions when simplified become :

a. x ³ × y ²

b. 6x ² × y ³

To simplify the first expression, take x to the power of the number of times it appears and do the same for y. This means that x × x × x × y × y would become:

= x ³  × y ²

In the second expression, first collect like terms so that 2 × x × x × 3 × y × y × y becomes:

= 2 × 3 × x × x × y × y × y

= 6 x ² × y ³

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The classification model is used to define the percentage of customers between 20 and 30 years of age who lived within 5 miles of the store used the coupon.

Percentage:

In math,  number or ratio that can be expressed as a fraction of 100 refers the percentage.

Given,

Here we have a dollar general sends out a $5 off coupon to its email subscribers.

And we need to find the percentage of customers between 20 and 30 years of age who lived within 5 miles of the store used the coupon.

Then the model used to define the this type of situation is refers as the classification model, because in this model, we have classify the given group of people based on the constraint.

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Answers:

D'' = (1, -3)

E'' = (1, -1)

F'' = (3, -1)

G'' = (3, -4)

A diagram is shown below.

========================================================

Explanation:

The center of dilation is point E, which means this point does not move when the dilation is applied. Every other point will move.

As your diagram indicates, segment DE is 4 units long. If we apply the scale factor 1/2, then D'E' will be half as long meaning D'E' = 2. So point D' is 2 units above point E at (1,3)

Point F is 4 units away from point E. The scale factor 1/2 will bring F closer to E leading to segment F'E' = 2. So we'll start at E and move 2 units to the right to land on F ' (3, 1)

From F to G is 6 units, which cuts in half to 3. So from F' to G' is 3 units telling us we start at F ' (3, 1) and go up three units to get go G ' (3, 4)

So far we have

D ' = (1, 3)

E ' = (1, 1) ... fixed point doesn't move

F ' = (3, 1)

G ' = (3, 4)

-------------

From here we'll apply the reflection over the x axis rule which says

\((x,y) \to (x, -y)\)

the x coordinate stays the same, and the y coordinate flips from positive to negative (or vice versa).

Based on what was mentioned for D', E', F' and G', we get the following

D'' = (1, -3)

E'' = (1, -1) .... this point does move now

F'' = (3, -1)

G'' = (3, -4)

Points E' and E'' are in different locations because all fixed points in this reflection are along the mirror line y = 0 (aka the x axis). In other words, if E was on the x axis, then it would not move if we applied this reflection.

Check out the diagram below see a visual summary of what happened. Note how the red points moved in closer to point E (since the distances from the center E have been cut in half) compared to the blue counterparts.

The coefficient of variation (CV) is a measure of relative variability and is calculated by dividing the standard deviation by the mean, and then multiplying by 100 to express it as a percentage.

In this case, the mean weight is 340 grams, and the standard deviation is 5.2 grams.

CV = (Standard Deviation / Mean) * 100

CV = (5.2 / 340) * 100

CV ≈ 1.53%

Therefore, the correct answer is option B: 1.53%.

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The 95% confidence interval for the proportion of women with cosmetic dermatitis are A. eye shadow [0.0533, 0.1299] and B. mascara [0.0643, 0.1357]. C. Proportion (0.12) cannot determine the group (eye shadow or mascara)

a) To compute a 95% confidence interval for the proportion of women with cosmetic dermatitis from using eye shadow who have a nickel allergy, we can use the formula for a confidence interval for a proportion.

The sample proportion is 12/131 = 0.0916, and the sample size is 131.

Using a confidence level of 95%, the margin of error can be calculated as:

\(Margin of error = Z * sqrt((p_{hat} * (1 - p_{hat})) / n)\)

where Z is the critical value for a 95% confidence level (approximately 1.96).

Substituting the values into the formula:

\(Margin of error = 1.96 * sqrt((0.0916 * (1 - 0.0916)) / 131)\)

The confidence interval can then be calculated as:

Confidence interval = p_hat ± margin of error

Interpretation: The 95% confidence interval for the proportion of women with cosmetic dermatitis from using eye shadow who have a nickel allergy is [0.0533, 0.1299]. This means that we are 95% confident that the true proportion of women with a nickel allergy among those with cosmetic dermatitis from using eye shadow falls within this interval.

b) Similarly, to compute a 95% confidence interval for the proportion of women with cosmetic dermatitis from using mascara who have a nickel allergy, we use the formula for a confidence interval for a proportion.

The sample proportion is 25/250 = 0.1, and the sample size is 250.

Using a confidence level of 95%, the margin of error can be calculated as:

\(Margin of error = 1.96 * sqrt((0.1 * (1 - 0.1)) / 250)\)

The confidence interval can then be calculated as:

Confidence interval = p_hat ± margin of error

Interpretation: The 95% confidence interval for the proportion of women with cosmetic dermatitis from using mascara who have a nickel allergy is [0.0643, 0.1357]. This means that we are 95% confident that the true proportion of women with a nickel allergy among those with cosmetic dermatitis from using mascara falls within this interval.

c) No, we cannot determine which group (eye shadow or mascara) is referenced based solely on the information that the true proportion with a nickel allergy is 0.12. This is because the given proportion (0.12) falls within the confidence intervals calculated for both groups. To identify the specific group, we would need additional information or data beyond the proportion itself.  

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I added a photo of my solutions

Answer:

The six consecutive integers would be:

28, 29, 30, and 31, 32, 33, which, indeed total to 183, and the largest, obviously, is 33.

Step-by-step explanation:

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Answer: 28, 29, 30,31,32,33

Step-by-step explanation: To know the sum of integers, let the first integer is n.

Given, 6 consecutive integers. which means: n, n+1, n+2, n+3, n+4, n+5

Also given,

n + n+1+ n+2 + n+3 + n+4 + n+5 = 183

= n+ n+n+n+n+n+ 1+2+3+4+5= 183

= 6n+15 =183

= 6n = 183-15       (168)

= n = 168/6

= n = 28

So, as per the formula, n is 28 then 6 consecutive integers are 29, 30, 31, 32, 33.

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answer:

10:03 am

explanation:

9:00 am + 1 hour (60 min) + 3 min = 10:03 am.

Step-by-step explanation:

In this form, x = 5.

so we'll substitute 5 in for x...

f(5) = -9(5) -10

f(5) = -45 -10

f(5) = -55

essentially saying, when x = 5, y = -55

Answer:

46$ in total

y=2r+20

If Isabella goes on 13 rides, she would have to pay a total of $46. If she rides 'r' times, the total cost would be expressed by the mathematical equation 20 + 2r.

This question relates to a linear relationship involving a fixed cost and a variable cost. In Isabella's case, the fixed cost is the admission fee, which is $20. The variable cost is the rides, where each ride costs $2.

So, if she goes on 13 rides, she will have to pay: $20 (for admission) + ($2 * 13 (rides)) = $20 + $26 = $46.

For r rides, the total cost would be: $20 (for admission) + ($2 * r (rides)). So the total cost for r rides can be expressed in a mathematical equation as: 20 + 2r.

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Answer:

$107125.80

working out:

50000x1.115^7=107125.8 (rounded)

For given division,

                                  416 is dividend

                                   8 is divisor

                                   0 is remainder   and

                                   52 is quotient

Long division:

                       long division is a standard division algorithm suitable for dividing multi-digit numbers that is simple enough to perform by hand.

                       In the case of long division of numbers, the remainder is always smaller than the divisor. We can verify the quotient and the remainder of the division using the division formula,

                 Dividend = (Divisor × Quotient) + Remainder.

The above formula is also known as division algorithm.

Example:

                       a ÷ b

a is called dividend and b is called divisor

For given question,

                   416 ÷ 8

      that is,

                                      8 )  416  ( 52

                                            40

                                               16

                                               16

                                                0

416 is dividend

8 is divisor

0 is remainder

and 52 is quotient

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The perpendicular line has an equation of y + 7 = -1/7(x - 3)

The equation is given as

y = 7x + 14

Also, from the question

The point is given as

Point = (3, -7)

The equation of a line can be represented as

y = mx + c

Where

Slope = m

By comparing the equations, we have the following

m = 7

This means that the slope of y = 7x + 14 is 7

Perpendicular lines have their slopes to be opposite reciprocals

This means that the other line has a slope of -1/7

The equation of the perpendicular lines is then calculated as

y = m(x - x₁) +y₁

Where

m = -1/7

(x₁, y₁) = (3, -7)

So, we have

y = -1/7(x - 3) - 7

Evaluate

y = -1/7(x - 3) - 7

Add 7 to both sides

y + 7 = -1/7(x - 3)

Hence, the equation of the perpendicular line is y + 7 = -1/7(x - 3)

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The number of ounces of jam that all of the jar can hold is about  4 large jars and 2 small jars.

A matrix represents a mathematical entity or characteristic through a table or array of expressions, numbers, or symbols arranged in rows and columns.

So, from the given matrix in the question, one has to compare the equations, So we have:

l + 2s = 8    ...........(i)

l - s = 2      .............(ii)

Then do subtract the second equation from the first, to remove l

3s = 6

s = 2

So also substitute 2 for s in l - s = 2

l - 2 = 2

Then sum up the 2 to both sides

l = 4

Therefore, the number of ounces of jam that each jar can hold is about  4 large jars and 2 small jars.

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Answer: G(x)=(x-3)^2-7

Step-by-step explanation: Translated 5 units to the left is a  negative change and a change in the X axis

The equation represents the new function, g(x) will be G(x)=(x-3)²-7. The correct option is A.

The process of changing the location of the image on the coordinate system will be known as the translation. A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

It is given that the graph f(x)=(x+2)²-7 is translated as 5 units left, resulting in the graph g(x).

Translated 5 units to the left are a negative change and a change in the X axis. The graph is also attached with the answer below.

The equation represents the new function, g(x) will be G(x)=(x-3)²-7.

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the answer to your math question is (−2,−27)

Answer:

(-2,-27)

Step-by-step explanation:

use the formula

x = b/2a

to find the maximum and minimum

Answer:

Step-by-step explanation: i hope this help if not let me know so i can fix it

Answer:A function f(x) is even if f(-x) = f(x). The function is odd if f(-x) = -f(x). An even function has reflection symmetry about the y-axis. An odd function has rotational symmetry about the origin.

Step-by-step explanation:

The function is even when f(-x) = f(x) and is odd when f(-x) = -f(x).This has been obtained using even-odd functions.

What are even-odd functions?

When the output value of a real-valued function, f(x), is equal to f(x), for all values of x inside the domain of f, the function is said to be an even function.

It is claimed that a real-valued function f(x) is an odd function when, for all values of x in the domain of f, the output value of f(-x) is equal to the negative of f(x).

We have an even function if we have an expression that is equivalent to f(x) and we have an odd function if we obtain an expression that is equivalent to -f(x).

If we take a function and substitute x for -x, simplify the result, and then compare it to what you started with, you can "determine algebraically" if the function is even, odd, or neither.

The function is even if you come out with exactly what you started with (i.e., if f (-x) = f (x), in which case all of the signs are the same. If you come out with exactly the opposite of what you started with (i.e., if f(-x) = -f (x), in which case all of the signs are switched), it is an odd function.

Hence, the function is even when f(-x) = f(x) and is odd when f(-x) = -f(x).

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The equation that could be used to find q is q = 110-0.15(110) where q equal the price of a quarter-page ad after the markdown.

According to the question,

We have the following information:

Cost of a quarter-page ad cost = $110

Mark down in the price = 15%

Now, q represents the price of a quarter-page ad after the markdown.

(Note that when we remove the sign of % means that the number has to be divided by 100.)

So, the equation will be the difference of the markdown price from the original price:

q = 110-(15/100)110

q = 110-0.15*110

q = 110-0.15(110)

Hence, the correct option is the third one.

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Answer:343

Step-by-step explanation:

Answer:

x is equal to 4/3 ........

The answer that you are looking for is b) 5(a – 2)(a – 4). In order to factor the formula, we must first locate two numbers whose sum is equal to -30 and whose product is equal to 40. Both constraints are met by the values -4 and -10, and as a result, we are able to factor the statement as 5(a – 2)(a – 4).(option b)

The following procedures can be used by us while factoring polynomials:

Find two numbers that, when added together, give you the coefficient of the middle term, and then multiply those two values by themselves to get the constant term.

Create the expression as the product of two binomials, with each binomial having one of the two numbers discovered in step 1. Write the equation as a product of two binomials.

Eliminate any factors that are frequent.

In this particular instance, the coefficient of the intermediate term is -30, while the value of the constant term is 40. When added together, the numbers -4 and -10 equal -30, and when multiplied together, they equal 40. Therefore, the expression can be factored as 5(a minus 2)(a minus 4).

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The strongest correlation is - 0.89 that is option B

To gauge how closely two variables are related to one another, correlation coefficients are used. The most common correlation coefficient is Pearson's, though there are other varieties as well. The correlation coefficient known as Pearson's is frequently applied in linear regression. Correlation coefficients typically fall between -1.00 and +1.00. The strongest correlation is taken into account when the value is closest to +1 or -1, according to the rule of correlation coefficients.

A positive correlation coefficient means that the two variables directly affect one other's values. There is no association between the two variables, according to a zero correlation coefficient and when the correlation coefficient is negative, it means that the values of the two variables are inversely related.

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Answer:

(4 * 5)^3 ;

8000

Step-by-step explanation:

Andre's statement :

Multiply 4 by 5 = 4 * 5 = 20

Cube the result = 20³

The equal expression from the option :

A.) (4 * 5)^3

Also, (4 * 5)^3 = 20^3 = 20 * 20 *20 = 8000

Answer:

\( \frac{AQ + 15}{AQ} = \frac{10 + 6}{6 } \\ 6AQ + 90 = 10AQ + 6AQ \\ 10AQ = 90 \\ AQ = 9\)

Answer:

AQ = 9

Step-by-step explanation:

Given a line parallel to the side of a triangle and intersecting the other 2 sides then it divides those sides proportionally , that is

\(\frac{6}{10}\) = \(\frac{AQ}{15}\) ( cross- multiply )

10 AQ = 90 ( divide both sides by 10 )

AQ = 9

Answer:

The sequences which are geometric are

16,-8,4,-2,1

625,125,25,5,1

-15,-18,-21.6,-25.92,-31.104

Step-by-step explanation:

Geometric sequences are ones in which you multiply or divide to get the next terms in the sequence.

Cheers

The common ratio of a sequence must be the same to be geometric thus The sequences which are geometric are {16,-8,4,-2,1},{625,125,25,5,1} and {-15,-18,-21.6,-25.92,-31.104} thus option (B),(E) and (C) is correct.

A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.

For example, the sequence 1, 4, 16, 64,… is a geometric sequence with a common ratio of r = 4.

As per the given second option,

16,-8,4,-2,1

Common ratio -8/16 = 4/-8 = -2/4 = 1/-2

Therefore, it will be GP series.

Similarly {625,125,25,5,1} and {-15,-18,-21.6,-25.92,-31.104} will also be GP series.

Hence " The sequences which are geometric are {16,-8,4,-2,1},{625,125,25,5,1} and {-15,-18,-21.6,-25.92,-31.104}".

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The statement "If a set of vectors {v₁, v₂, ...., vp} in Rⁿ is linearly dependent, then p>n" is False.

Let {v₁, v₂, ...., vp} be a set of p vectors in Rⁿ, then the following are equivalent statements:

1. The set of vectors is linearly dependent.

2. There exist constants c₁, c₂, ... cp, not all of them zero, such that:

c₁v₁+c₂v₂+...+cpvp = 0 (zero vector)

For the above to be possible, the following must hold true: p≥n

Because in Rⁿ, each vector has n components.

So, the total number of unknowns is p, while the total number of equations that we have is n.

Hence p≥n for the system of linear equations above to have a non-zero solution.

Hence, the statement "If a set of vectors {v₁, v₂, ...., vp} in Rⁿ is linearly dependent, then p>n" is False.

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Answer:

Step-by-step explanation:

D) 126