I will send you a picture . Help with the second question.

Answer:

\(\text{C. }x^2+(y+3)^2=11\)

Step-by-step explanation:

The equation of a circle with radius \(r\) and center \((h, k)\) is given by:

\((x-h)^2+(y-k)^2=r^2\).

What we're given:

Substituting given values, we get:

\((x-0)^2+(y-(-3))^2=\sqrt{11}^2,\\\boxed{\text{C. }x^2+(y+3)^2=11}\)

The line integral becomes:

\int_{\mathcal{C}} x^{2} ,dx + 2x ,dy = 2 \iint_{R} ,dA = 2 \times 25 = 50.

To evaluate the line integral using Green's Theorem, we first need to find the curl of the vector field \mathbf{F} = \left< x^{2}, 2x \right>. The curl of \mathbf{F} is given by:

\text{curl}(\mathbf{F}) = \left( \frac{\partial}{\partial x}(2x) - \frac{\partial}{\partial y}(x^{2}) \right) = (2 - 0) = 2.

Next, we need to find the area enclosed by the boundary of the parallelogram. From the given information, we know that x_0 = 5 and y_0 = 5. Let's assume the parallelogram has sides AB, BC, CD, and DA.

We can parameterize the sides of the parallelogram as follows:

AB: \mathbf{r}(t) = \left< t, 0 \right>, where t ranges from 0 to 5.

BC: \mathbf{r}(t) = \left< 5, t \right>, where t ranges from 0 to 5.

CD: \mathbf{r}(t) = \left< 5 - t, 5 \right>, where t ranges from 0 to 5.

DA: \mathbf{r}(t) = \left< 0, 5 - t \right>, where t ranges from 0 to 5.

Using Green's Theorem, the line integral around the boundary of the parallelogram is equal to the double integral of the curl of \mathbf{F} over the region enclosed by the boundary. Since the curl of \mathbf{F} is 2, the line integral becomes:

\int_{\mathcal{C}} x^{2} ,dx + 2x ,dy = \iint_{R} 2 ,dA,

where R is the region enclosed by the boundary.

To evaluate this double integral, we need to find the limits of integration for x and y, which correspond to the range of values covered by the region R. In this case, x ranges from 0 to 5 and y ranges from 0 to 5.

Therefore, the line integral is:

\int_{\mathcal{C}} x^{2} ,dx + 2x ,dy = \iint_{R} 2 ,dA = 2 \iint_{R} ,dA.

Since the value of 2 is a constant, the double integral of a constant over a region is simply the product of the constant and the area of the region. The area of the parallelogram can be calculated as the base (5) times the height (5), resulting in an area of 25.

Thus, the line integral becomes:

\int_{\mathcal{C}} x^{2} ,dx + 2x ,dy = 2 \iint_{R} ,dA = 2 \times 25 = 50.

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Answer:£769.5

Step-by-step explanation: 2.25 x 5 = 11.25 11.25 + 5.25 = 16.5. 786 - 16.5= £769.5

A(8) = 9/7A(-5) = -1/3A(3/1) = 2A(-71/1) = -5/36

Function: A(t) = (t+1)/(t-1)For the given function A(t), the following values are to be calculated: A(8), A(-5), A(3/1), and A(-71/1)A(8):We need to substitute t=8 in the function. A(8) = (8+1)/(8-1) = 9/7Therefore, A(8) = 9/7A(-5):We need to substitute t=-5 in the function. A(-5) = (-5+1)/(-5-1) = -1/3Therefore, A(-5) = -1/3A(3/1):We need to substitute t=3/1 in the function. A(3/1) = (3/1+1)/(3/1-1) = (4)/(2/1) = 4*1/2 = 2Therefore, A(3/1) = 2A(-71/1):We need to substitute t=-71/1 in the function. A(-71/1) = (-71/1+1)/(-71/1-1) = (-70/1)/(-72/1) = (-5/36)Therefore, A(-71/1) = -5/36Therefore, the respective answers for the given values of the function A(t) are as follows: A(8) = 9/7A(-5) = -1/3A(3/1) = 2A(-71/1) = -5/36

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Answer:

96 people are expected

Step-by-step explanation:

Hello!

We can first convert the surveyed group results into a percentage.

So 3% of the sampled survey were interesetd. To find the actual expected number of patrons, we find 3% of 3200.

96 people are expected.

Topics:

Percentage => Fraction => Decimal Key is attached

Ms. Hernandez began her math class by saying: I'm thinking of 5 numbers such that their mean is equal to their median. If 4 of the numbers are 14, 8, 16, and 14 then, the 5th number is 18. The correct answer is option E.

Since there are five numbers and the middle is the center esteem when the numbers are organized in arrange, the center esteem must be one of the given values: 8, 14, 14, or 16.

The cruel of five numbers is the whole of the numbers isolated by 5. On the off chance that the cruel break even with the middle, at that point the whole of the five numbers must rise to five times the middle.

The whole of the primary four numbers is:

14 + 8 + 16 + 14 = 52

So, the fifth number must be:

5 × 14 - 52 = 18

Hence, the reply is E. 18.

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Answer: about $100,000.

Step-by-step explanation: i gave an estimate because your answer calls for an estimate, not an exact answer. $100,000 is correct because 24,897*4 = 99,588.

Answer:

It has negative run, between two points so the slope is negative. the y intercept if 4. y=-2x+4

Answer:

A.

Step-by-step explanation:

Get the two points first.

(2, 0) and (0, 4)

The slope is -2

y = -2x + b

y = -2x + 4

Given equation of the line is

Dividing both sides of the above equation by -18, we get

The line cuts the x axis at (-9,0) and the y axis at (0,-3).

Therefore, the x intercept is -9 and the y intercept is -3.

The graph of the line is shown below.

Answer:

-44f - 12

Step-by-step explanation:

Here's the method :

-10f - 6 (-9f + 2 )

-10f + 54f - 12

-44f - 12

Answer:

\(44f - 12\)

Step-by-step explanation:

\( - 10f - 6( - 9f + 2)\)

\( - 6( - 9 + 2)\)

\( - 6 \times ( - 9f) - 6 \times 2\)

\(6 \times 9f - 6 \times 2\)

\(54f - 6 \times 2\)

\(54f - 12\)

\( - 10f + 54f\)

\(( - 10 + 54)f\)

\( = 44f - 12\)

Answer:

blank one: -1 blank two: -15

Step-by-step explanation:

I'm not sure but I think its correct

Answer:

\(2x^{2}\)+5x+9

Step-by-step explanation:

The difference of the given expression is 8x²-5x-9.

The given expressions are -3x²+5x-9 and 2x²+3(x²-6).

To subtract an algebraic expression from another, we should change the signs (from '+' to '-' or from '-' to '+') of all the terms of the expression which is to be subtracted and then the two expressions are added.

Now, subtract -3x²+5x-9 from 2x²+3(x²-6)

2x²+3(x²-6)-(-3x²+5x-9)

= 2x²+3x²-18+3x²-5x+9

= 8x²-5x-9

Hence, the difference of the given expression is 8x²-5x-9.

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Based on the given graphs, the graph that shows a dilation is the fourth graph.

When a shape is dilated, it means that a certain figure is used to reduce the shape's dimensions such that it becomes smaller. This certain figure is known as the scale factor.

When a dilation happens, the only thing that changes is the size of the shape. The orientation of the shape remains the same and so does the shape itself.

From this, we can tell that the graph that shows a dilation is the last graph which shows a dilation because the shape becomes smaller but remains the same otherwise.

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The bakers profit from selling 500 cookies is $181.

Each box of cookies contain 20 cookies. Since the baker bakes 500 cookies, the number of boxes is:

Number of boxes = 500 cookies / 20 cookies per box = 25 boxes

2 boxes of cookies can be sold for $14.50, hence, for 25 boxes is:

Profit = 25 boxes / (2 boxes per $14.50) = $181

The bakers profit from selling 500 cookies is $181.

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Answer:

the answer is 5/9

Step-by-step explanation:

Answer:

on slope calculator i got 0.3?

Step-by-step explanation:

sorry if it aint right

The number of ways to buy 20 bagels with at least one bagel of each kind from a bagel store that sells 6 different types of bagels is 3060.

To calculate the number of ways to buy 20 bagels with at least one bagel of each kind from a bagel store that sells 6 different types of bagels, we can use the concept of stars and bars.

First, we need to ensure that we have at least one of each type of bagel. So, we take one bagel of each type, which leaves us with 14 bagels to buy.

Now, we can use stars and bars to distribute the remaining 14 bagels among the 6 types of bagels. We represent the 14 bagels as stars and the 5 possible locations between the types of bagels as bars.

Using this method, we need to distribute 14 stars among 5 bars, which can be done in

(14+5-1) choose (5-1) = 18 choose 4 = 3060 ways.

Therefore, the number of ways to buy 20 bagels with at least one bagel of each kind from a bagel store that sells 6 different types of bagels is 3060.

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Answer:

It takes \(13\frac{1}{8}\) teaspoons of baking powder to make 5 dozen jumbo muffins.

Step-by-step explanation:

Two quantities a and b are directly proportional if when multiplying or dividing one of them by a number, the other is multiplied or divided by that number. That is, if one magnitude grows, the other will grow in the same proportion; while if one magnitude decreases, the other will decrease in the same proportion.

The simple rule of three allows us to establish the relationship of proportionality between two known values ​​and, based on the knowledge of a third quantity, to calculate the value of the fourth.

In other words, it is necessary to know two magnitudes that will be proportional to each other, and a third magnitude, from which you want to find out, will be a fourth term through the relationship:

a ⇒ b

c ⇒ x

Then: \(x=\frac{c*b}{a}\)

where a, b, and c are the known data, and x is the fourth unknown.

In this case, the rule of three can be applied as follows: if 1 dozen contains 12 muffins, 5 dozen jumbo muffins, how many muffins does it contain?

\(amount of jumbo muffins=\frac{5 dozen*12 jumbo muffins}{1 dozen}\)

amount of jumbo muffins= 60

Now you apply the following rule of three: if 8 jumbo blueberry muffins requires 1 3/4 ( or, which is the same, 7/4)teaspoons of baking powder, 60 jumbo muffins how many teaspoons of baking powder does it require?

\(teaspoons of baking powder=\frac{60*\frac{7}{4} }{8}\)

teaspoons of baking powder= \(\frac{105}{8}\) = \(13\frac{1}{8}\)

It takes \(13\frac{1}{8}\) teaspoons of baking powder to make 5 dozen jumbo muffins.

using the appropriate derivative or partial derivative(s) of t (v comma d )at the point (90 comma 30 )to estimate how the depth of the dive would have to change in order to compensate for a decrease of 5 liters of air in the tank if you still wish to dive for 47.143 minutes is :

Δd ≈ (t* - T(v*, d*)) / (∂T/∂d)

Without additional information or context, it's not clear what the variables v and d represent, so we can't provide a specific answer to this question.

However, in general, if we have a function T(v, d) that gives us the time that we can spend diving with a tank of air that has volume v and a depth of d, we can use the total derivative to estimate how the depth d needs to change in order to compensate for a decrease of Δv liters of air, while keeping the dive time fixed at a certain value t*. The total derivative is given by:

dT ≈ (∂T/∂v)Δv + (∂T/∂d)Δd

where (∂T/∂v) and (∂T/∂d) are the partial derivatives of T with respect to v and d, evaluated at a specific point (v*, d*).

To estimate the change in depth needed to compensate for a decrease of Δv liters of air while keeping the dive time fixed at t*, we can set d = d* and solve for Δd:

dT ≈ (∂T/∂v)Δv + (∂T/∂d)Δd

Δd ≈ (t* - T(v*, d*)) / (∂T/∂d)

In our case, we need to evaluate this formula at the point (90, 30) and with a decrease of Δv = 5 liters of air, and we need to use the appropriate partial derivatives of T(v, d) with respect to v and d. However, without more information about the function T(v, d), we cannot provide a specific answer to this question.

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Answer:

but where is the questions?

Answer:

Step-by-step explanation:

Step one:

given data

Initial account balance=  $7200

we are told that the decrease was by 24.5%

Step two:

1. How much is this decrease in dollars?

let us solve for 24.5% of   $7200

=24.5/100*7200

=0.245*7200

=1764

the decrease is $1764

2. How much money was in her account at the end of last year?

the final account balance is

=7200-1764

=$5436

Answer:

An exponential function is a Mathematical function in form f (x) = ax.

\(f(x) = ax\)

Step-by-step explanation:

where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

NoTe: The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.

if u need any help, just tell me know

When a range of values is used to estimate a population parameter, it is called an interval estimate. The correct answer is option D.

An interval estimation is the evaluation of a parameter of a population by computing an interval, or range of values, within which the parameter is most likely to be located. An interval estimate gives you a range of values where the parameter is expected to lie. In other words, an interval estimate is a range in which the population parameter probably falls for a given level of confidence. We have to establish a level of confidence because we can never be 100 percent sure that the population mean falls within our confidence interval. A confidence interval is the most common type of interval estimate.

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To form a triangle, the set of line segments must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, we need to check if the given line segments 8 cm, 4 cm, and 3 cm meet this requirement.

We can start by checking if the sum of the two smaller sides (3 cm and 4 cm) is greater than the largest side (8 cm). 3 cm + 4 cm = 7 cm, which is less than 8 cm. Therefore, these three line segments cannot form a triangle.

In general, for a set of line segments to form a triangle, the largest side must be smaller than the sum of the other two sides. In this case, the line segment of 8 cm is too long compared to the other two sides, which makes it impossible to form a triangle.

In conclusion, there are no line segments that meet the requirements to form a triangle with lengths of 8 cm, 4 cm, and 3 cm.

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The probability of A1 occurring given B1 is approximately 0.375, rounded to three decimal places.

To find the probability of P(A1|B1), we can use Bayes' theorem:

P(A1|B1) = (P(B1|A1) * P(A1)) / P(B1)

Given that A1 and A2 are complements, P(A2) can be calculated as 1 - P(A1), which means P(A2) = 0.7.

We are given P(B1|A1) = 0.6 and P(B1|A2) = 0.5.

Now, to calculate P(B1), we can use the law of total probability:

P(B1) = P(B1|A1) * P(A1) + P(B1|A2) * P(A2)

Substituting the given values, we get:

P(B1) = (0.6 * 0.3) + (0.5 * 0.7)

= 0.18 + 0.35

= 0.53

Finally, we can calculate P(A1|B1) using Bayes' theorem:

P(A1|B1) = (P(B1|A1) * P(A1)) / P(B1)

= (0.6 * 0.3) / 0.53

≈ 0.375

Therefore, the probability of A1 occurring given B1 is approximately 0.375, rounded to three decimal places.

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To maximize his employer's matching contribution, Lonnie should contribute at least 5% of his salary each month to his 401(k). This means that he should contribute a minimum of $125 each month (5% of $2,500). However, he is allowed to contribute up to 12% of his salary, which is $300 per month.

While contributing the maximum amount will help him save more for retirement, contributing at least 5% will ensure that he takes full advantage of his employer's matching contribution. It is important to note that contributions to a 401(k) account are tax-deferred, which means that Lonnie's contributions will lower his taxable income, resulting in potential tax savings. it is crucial for employees to take advantage of employer matching contributions, as it is essentially free money that will help them save for retirement.

To maximize his employer's matching contribution, Lonnie should contribute at least 5% of his salary to his 401(k) each month. With a monthly salary of $2,500, this would amount to $2,500 x 0.05 = $125. By contributing this amount, Lonnie ensures that he receives the full 5% matching contribution from his employer, maximizing the benefits of the 401(k) plan.

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Answer:

Adults = 300

Step-by-step explanation:

Answer:

20 years

Step-by-step explanation:

jeff's age = x

pete's age = x+10

in 5 years time

2(x+5) = x+10+5

thus x=5 therefore

pete's age in 5 years will be 20

x/12 + 3 < 7 = x<48 this is the only one i can do because i cant do the others sorry

Given Integral is ∫cos 2x/ (sin^2x + cos^2x + 2sinxcosx) dx.Let us solve it using integration by substitution,Let u = sin x + cos x, then du/dx = cos x − sin xMultiplying numerator and denominator by 2,

we get:∫cos 2x/ (sin^2x + cos^2x + 2sinxcosx) dx=∫cos 2x/ (sin x + cos x)^2 dx=∫cos2x/ u2 duNow substitute v = tan(x/2)So sin x = 2v/(1 + v^2), cos x = (1 − v^2)/(1 + v^2), and dx = 2/(1 + v^2) dvUsing the half-angle identities, we can simplify the integrand into:cos 2x/ (sin x + cos x)^2 = 4v2/ (1 + v2)4dvcos 2x = 2 cos2(x) − 1 = 2(1 − sin2(x)) − 1 = 1 − 2 sin2(x)Substituting the expression for cos 2x and simplifying, we obtain:∫cos 2x/ (sin^2x + cos^2x + 2sinxcosx) dx=∫1/ (1 + v^2) (1 − 2 sin2(x)) 4v^2/(1 + v^2)^2 dv=∫4v^2/(1 + v^2)^3 dv= 2[1/(1 + v^2)] + ln|(v^2 + 1)/2| + C.Substituting back v = tan(x/2), we have:∫cos 2x/ (sin^2x + cos^2x + 2sinxcosx) dx= 2(1 − tan2(x/2)) − 1/2 ln|(1 + tan2(x/2))/2| + C= ½ ln(cos2(x) + 2) + C.

We conclude that the correct answer is option C.

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Answer:

(x,y) = (8,3)

Step-by-step explanation:

3/4x - 3 = 1/4x +1

x = 8

y = 1/4 * 8 + 1

y = 3

(x,y) = (8,3)