I fell asleep in class and Im failing, pleaseeee help!

Answer:

it would be -12

Step-by-step explanation:

Answer:

440

Step-by-step explanation:

1. The Taylor series for f(x) = cos(x) centered at c = π/4 is:

f(x) = cos(π/4) - sin(π/4)(x - π/4) + (1/2)cos(π/4)(x - π/4)^2 - (1/6)sin(π/4)(x - π/4)^3 + ...

2. The Taylor series for f(x) = ln(x) centered at c = 1 is:

f(x) = ln(1) + (x - 1) - (x - 1)^2/2 + (x - 1)^3/3 - ...

3. The Maclaurin series for f(x) = ln(1 + x^9) is:

f(x) = x^9 - (1/2)x^18 + (1/3)x^27 - ...

1. The Taylor series expansion for cos(x) centered at c is derived by using the derivatives of the function evaluated at c. The general form of the series includes terms with alternating signs and higher powers of (x - c).

2. Similarly, the Taylor series expansion for ln(x) centered at c is obtained by finding the derivatives of the function and evaluating them at c. The resulting series includes powers of (x - c) with coefficients derived from the derivatives.

3. For the Maclaurin series, we center the Taylor series at c = 0. In the case of f(x) = ln(1 + x^9), we use the power series expansion of ln(1 + x) and substitute x^9 in place of x. The resulting series includes terms with positive powers of x^9 and coefficients determined by the power series for ln(1 + x).

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Answer:

its very simple you just need to collect like terms...

which is 4x-6x+6+9 which is

-2x+15.

This is my answer I hope it helps you.

Answer:

i think its -2x+15

Step-by-step explanation:

you do 4x-6x (-6 cuz it has a neg. in front) which gives you -2x then 9+6 and it gives you 15

Answer:

-3

Step-by-step explanation:

g(0) = 0

f(g(0)) = 0 - 3 = -3

The first 20 multiples of 27 are as follows:

27, 54, 81, 108, 135, 162, 189, 216, 243, 270, 297, 324, 351, 378, 405, 432, 459, 486, 513, and 540.

A multiple in mathematics is created by multiplying any number by an integer.

In other words, if b = na for some integer n, known as the multiplier, it can be said that b is a multiple of a given two numbers, a and b.

This is equivalent to stating that b/a is an integer if an is not zero.

A is known as a divisor of b when a and b are both integers and b is a multiple of a.

First 20 multiples of 27:

27, 54, 81, 108, 135, 162, 189, 216, 243, 270, 297, 324, 351, 378, 405, 432, 459, 486, 513, and 540.

Therefore, the first 20 multiples of 27 are as follows:

27, 54, 81, 108, 135, 162, 189, 216, 243, 270, 297, 324, 351, 378, 405, 432, 459, 486, 513, and 540.

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Correct question:

What are the first 20 multiples of 27?

Answer:

y=3x-1

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

since Fred has 31 times more balloons then Dan, and Fred has 155, 155/31=5

The exponential function are y = 10(2)^x, y = 1.270(1.389)^x, y = 5.656(0.957)^x and y = 6.567(0.870)^x.

1. (a) To find the equation of the exponential function that passes through the points (0,10) and (3,80), we can use the formula:

y = a(b)^x

where a and b are constants that we need to find.

First, we can use the point (0,10) to solve for a:

10 = a(b)^0

10 = a

Next, we can use the point (3,80) to solve for b:

80 = 10(b)^3

8 = b^3

b = 2

Therefore, the equation of the exponential function is:

y = 10(2)^x

(b) To find the equation of the exponential function that passes through the points (0.18, 2.8) and (2, 8), we can use the same formula:

y = a(b)^x

First, we can use the point (0.18, 2.8) to solve for a:

2.8 = a(b)^0.18

Next, we can use the point (2, 8) to solve for b:

8 = a(b)^2

Dividing the second equation by the first, we get:

2.857 = (b)^1.82

b = 1.389

Substituting this value of b back into one of the equations to solve for a, we get:

2.8 = a(1.389)^0.18

a = 1.270

Therefore, the equation of the exponential function is:

y = 1.270(1.389)^x

2. (a) To find the equation of the exponential function that passes through the points (2, 5.12288) and (1.92, 2.192), we can again use the formula:

y = a(b)^x

First, we can use the point (2,5.12288) to solve for a:

5.12288 = a(b)^2

Next, we can use the point (1.92,2.192) to solve for b:

2.192 = a(b)^1.92

Dividing the second equation by the first, we get:

0.427 = (b)^(0.08)

b = 0.957

Substituting this value of b back into one of the equations to solve for a, we get:

5.12288 = a(0.957)^2

a = 5.656

Therefore, the equation of the exponential function is:

y = 5.656(0.957)^x

(b) To find the equation of the exponential function that passes through the points (1.192,5) and (5,0.75), we can use the same formula:

y = a(b)^x

First, we can use the point (1.192,5) to solve for a:

5 = a(b)^1.192

Next, we can use the point (5,0.75) to solve for b:

0.75 = a(b)^5

Dividing the second equation by the first, we get:

0.149 = (b)^3.808

b = 0.870

Substituting this value of b back into one of the equations to solve for a, we get:

5 = a(0.870)^1.192

a = 6.567

Therefore, the equation of the exponential function is:

y = 6.567(0.870)^x

3. To find the equation of the exponential function that passes through the points (2.14,7) and (7,205), we can use the same formula as before:

y = a(b)^x

First, we can use the point (2.14,7) to solve for a:

7 = a(b)^2.14

Next, we can use the point (7,205) to solve for b:

205 = a(b)^7

Dividing the second equation by the first, we get:

29.285 = (b)^(4.86)

b = 5.474

Substituting this value of b back into one of the equations to solve for a, we get:

7 = a(5.474)^2.14

a = 0.00061

Therefore, the equation of the exponential function is:

y = 0.00061(5.474)^x

Rounding a and b to the nearest hundred, we get:

a = 0.0006

b = 5.47

So, the final equation of the exponential function is:

y = 0.0006(5.47)^x

We can check if the points (2.14,7) and (7,205) fall on the curve by plugging them into the equation:

y = 0.0006(5.47)^x

When x = 2.14:

y = 0.0006(5.47)^2.14 ≈ 7

When x = 7:

y = 0.0006(5.47)^7 ≈ 205

So, the points do fall on the curve, which means that the equation we found is correct.

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Epidemiologic studies are of significant value to scientists who use the information from these studies to formulate dose-response estimates to predict the risk of various health outcomes or diseases.

By analyzing data on exposure levels and corresponding health effects in a population, researchers can establish the relationship between the dose (amount of exposure) and the response (risk or occurrence of the outcome). This allows them to estimate the potential risks associated with different levels of exposure to specific factors such as environmental pollutants, medications, lifestyle choices, or occupational hazards. These dose-response estimates help inform public health interventions, risk assessments, and policy-making decisions aimed at minimizing the occurrence and impact of health risks in populations.

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Answer:

Step-by-step explanation:

i) If p is inversely proportional to q³, this is expressed as p ∝ q³

p = k/q³ where q is the proportionality constant.

Given p = 27 and q = 3

Substitute this values into the formula

27 = k/(3)³

27 = k/27

k = 27×27

k = 729

Substitute k = 1 into the formula

p = 729/(q)³

Hence the formula which expresses p in terms of q is p = 729/q³

ii) If r is directly proportional to q, it is expressed as r ∝ q

r = kq

If r = 10 and q = 2

Substitute

10 = 2k

k = 10/2

k = 5

The equation becomes

r = 5q... 1

From 1) p = 729/q³

q³ = 729/p

q = 9/³√p

q = 9/p^1/3....2

Substitute equation 2 into 1

r = 5(9/p^1/3)

r = 45p^-1/3

Compare r = 45p^-1/3 with r = kp^n

k = 45 and n = -1/3

Answer:

The perimeter is approximately 6.40.

Step-by-step explanation:

To find the perimeter of a triangle with vertices X (1, 3), Y (-4, -1), and Z (4, -1), we can first find the distance between each pair of points using the distance formula.The distance between points X and Y is:

$d(X,Y) = \sqrt{((1 - (-4))^2 + (3 - (-1))^2)} = \sqrt{25 + 16} = \sqrt{41}$

The distance between points Y and Z is:$d(Y,Z) =

\sqrt{((-4 - 4)^2 + ((-1) - (-1))^2)} = \sqrt{0 + 0} = 0$

The distance between points X and Z is:

$d(X,Z) = \sqrt{((1 - 4)^2 + (3 - (-1))^2)} = \sqrt{9 + 16} = \sqrt{25}$

We can then find the perimeter of the triangle by adding up the lengths of the sides. In this case, the perimeter is $d(X,Y) + d(Y,Z) + d(X,Z) = \sqrt{41} + 0 + \sqrt{25} = \sqrt{41} + \sqrt{25} = 6.40\ldots$.

Rounded to two decimal places, the perimeter is approximately 6.40.

The equation that has the same solution as x² - 16x + 20 = -2 is x² - 16x + 22 = 0.

To find an equation with the same solution as the equation x² - 16x + 20 = -2, manipulate the given equation while preserving its solutions.

Starting with the given equation:

x² - 16x + 20 = -2

Move the constant term (-2) to the other side:

x² - 16x + 20 + 2 = 0

Simplifying:

x^2 - 16x + 22 = 0

Therefore, the equation that has the same solution as x² - 16x + 20 = -2 is x² - 16x + 22 = 0.

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Answer:

C=5π/2

Step-by-step explanation:

Yes, I can find the slope of a line and type the correct code. The SLOPE function will return the slope of the linear regression line that best fits the data.

The slope of a line is the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line. The formula for finding the slope of a line is (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are any two points on the line.

The slope is a measure of how steep the line is. It can be positive, negative, zero, or undefined. The code for finding the slope of a line in ALL CAPS with no spaces is SLOPE.

To use this function in Excel, you need to provide the range of x-values and the range of y-values.

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Answer:

yes ..................

The residual associated with this individual is approximately -15.4 ounces, using the least squares estimate. This means that the actual amount of food consumed is about 15.4

We would predict that the dog would eat approximately 180.96 ounces of food in a week, based on the least squares estimate.  the residual associated with this individual is approximately -15.4 ounces, using the least squares estimate. This means that the actual amount of food consumed is about 15.4 ounces less than what would be predicted based on the regression model.

Using the given regression model, we can estimate the amount of food a dog weighing 42.4 pounds would consume in a week as:

Food Consumed = -32.86 + 5.25 × Weight

Food Consumed = -32.86 + 5.25 × 42.4

Food Consumed ≈ 180.96 ounces

Therefore, we would predict that the dog would eat approximately 180.96 ounces of food in a week, based on the least squares estimate.

To find the residual associated with a dog weighing 24.7 pounds and consuming 70 ounces of food per week, we first need to calculate the predicted value of food consumed based on the given regression model:

Food Consumed = -32.86 + 5.25 × Weight

Food Consumed = -32.86 + 5.25 × 24.7

Food Consumed ≈ 85.38 ounces

The residual is then calculated as the difference between the actual value of food consumed (70 ounces) and the predicted value (85.38 ounces):

Residual = Actual Value - Predicted Value

Residual = 70 - 85.38

Residual ≈ -15.4 ounces

Therefore, the residual associated with this individual is approximately -15.4 ounces, using the least squares estimate. This means that the actual amount of food consumed is about 15.4 ounces less than what would be predicted based on the regression model.

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Answer:

i believe this is how you solve that problem... 2÷5×4

Answer:

The equation is 15x + 2.50y = 800, where x is the number of care packages and y is the number of food satchels. Solving for y, we get y = 32. Therefore, each package contained 32 food satchels.

Step-by-step explanation:

Therefore, the derivative of h(t) is \(h'(t) = (4t2 - 6)(t + 4)-1/3(2t2 - 3)3 + 12t(t + 4)2/3(2t2 - 3)2.\)

We have to determine the derivative of the given function:  

\(h(t) = (t + 4)2/3 (2t2 - 3)3\).

Using the product rule, we can find the derivative of h(t) as follows

\(h(t) = (t + 4)2/3 (2t2 - 3)3h'(t) = [(t + 4)2/3 (2t2 - 3)3]'h'(t) = [(t + 4)2/3]'(2t2 - 3)3 + (t + 4)2/3(3)(2t2 - 3)2(4t)h'(t) = [(2/3)(t + 4)-1/3](2t2 - 3)3 + (t + 4)2/3(3)(2t2 - 3)2(4t)h'(t) = [(2/3)(2t2 - 3)](t + 4)-1/3(2t2 - 3)3 + 12t(t + 4)2/3(2t2 - 3)2h'(t) = (4t2 - 6)(t + 4)-1/3(2t2 - 3)3 + 12t(t + 4)2/3(2t2 - 3)2\)Therefore, the derivative of h(t) is \(h'(t) = (4t2 - 6)(t + 4)-1/3(2t2 - 3)3 + 12t(t + 4)2/3(2t2 - 3)2.\)

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Answer:

answer: c, 43

Step-by-step explanation:

-3+h=40

+3        +3    add 3 to both sides

h=43

Answer:

Its c

Step-by-step explanation:-3 + h = 40 cause 43 -3 is 40

Emily can ride her bike at a speed of 65 mph.

Let's use "x" to represent Emily's speed in mph.
We know that Kristen's speed is 8 mph faster, so her speed would be x + 8 mph.

We also know that Emily takes one hour longer than Kristen to travel 58.5 miles. So we can set up an equation:
\(\frac{58.5}{x}  = \frac{58.5}{x+8} +1\)

This equation represents the fact that the time it takes for Emily to travel 58.5 miles is one hour more than the time it takes for Kristen to travel the same distance.

Now, let's solve for x:
Multiplying both sides by x(x+8), we get:
\(58.5(x+8) = 58.5x + x(x+8)\)
\(58.5x + 468 = 58.5x + x^2 + 8x\)

Simplifying, we get:
\(x^2 + 8x - 468 = 0\)

Now we can use the quadratic formula:
\(x = \frac{(-8 ± \sqrt{8^{2} - 4(1)(-468) }}{2(1)}\)
\(x = \frac{(-8±\sqrt{18976)}}{2}\)
\(x = \frac{(-8±132)}{2}\)
x = -73 or x = 65

Since Emily's speed can't be negative, we can discard the negative solution. Therefore, Emily can ride her bike at a speed of 65 mph.

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Mary lou will have $20574.6 in her savings account when she is ready to enroll in college.

For given question,

Mary lou received $14,000, 7 years prior to her enrolling in college.

She invested the money at 5.5% compounded semiannually.

so the Principal(P) = $14000

Rate (R) = 5.5%

Period(t) = 7 years

First we find the rate of interest in decimal form.

5.5% = 5.5/100

5.5% = 0.055

so, r = 0.055

Using the formula for continuous compound interest,

\(\Rightarrow A = Pe^{rt}\\\\\Rightarrow A=14000\times e^{(0.055\times 7)}\)

⇒ A = 14000 × e^(0.385)

⇒ A = 14000 × 1.4696

⇒ A = $20574.6

This means, after 7 years she will have $20574.6 in her saving account.

Therefore, Mary lou will have $20574.6 in her savings account when she is ready to enroll in college.

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Answer:

2x+y=3  -->  y= -2x+3

2y-6=x  -->  y= 1/2x+3

x-3y=-6  -->  y= 1/3x+2

-x+1/2y=3  -->  y= 2x+6

Step-by-step explanation:

i hope this helps :)

The solution to the system of equations is

2x + y = 3  ;  y = -2x + 3

2y - 6 = x  ;  y = ( 1/2 )x + 3

x - 3y = -6  ;  y = ( 1/3 )x + 2

-x + ( 1/2 )y = 3  ;  y = 2x + 6

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation be represented as A

Now , the value of A is

a)

Let the equation be 2x + y = 3

Subtracting 2x on both sides of the equation , we get

y = 3 - 2x  

So , the equation in slope intercept form is y = 3 - 2x  

b)

Let the equation be 2y - 6 = x

Adding 6 on both sides of the equation , we get

2y = x + 6  

Divide by 2 on both sides of the equation , we get

y = ( 1/2 )x + 3

So , the equation in slope intercept form is y = ( 1/2 )x + 3

c)

Let the equation be x - 3y = -6

Adding 3y on both sides of the equation , we get

x = 3y - 6  

Adding 6 on both sides of the equation , we get

3y = x + 6

Divide by 3 on both sides of the equation , we get

y = ( 1/3 )x + 2

So , the equation in slope intercept form is y = ( 1/3 )x + 2

d)

Let the equation be -x + ( 1/2 )y = 3

Adding x on both sides of the equation , we get

( 1/2 )y = 3 + x

Multiply by 2 on both sides of the equation , we get

y = 2x + 6

So , the equation in slope intercept form is y = 2x + 6

Hence , the equations are solved

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The tables that can represent values of a function are Table 1, Table 2, Table 4, and Table 5. These tables show a unique output value for each input value, which is the characteristic of a function

A function is a relation that assigns a unique output value to every input value. In Tables 1, 2, 3, and 4, there is a unique output value for each input value, which makes them all represent values of a function. In Table 5, however, there are repeated output values for different input values, which violates the definition of a function. Therefore, Table 5 does not represent values of a function.

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Answer:-4.5

Step-by-step explanation:

Answer:

b. 0.25

Step-by-step explanation:

40 + 120 = 160

40 / 160

\(m\angle E=\sin \dfrac{\sqrt{10}}{2\sqrt5}=\sin \dfrac{\sqrt2}{2}=45^{\circ}\)