In morning Emily studied 40 minutes for a math exam. Later that evening Emily studied for x more minutes. Write an equation that represents the total number of minutes y emily studied for the math exam

Answer:

90

Step-by-step explanation:

radius = 6/2 = 3

(3x3x3x10)/3 = 270/3 = 90

Answer:

Eleanor and Harold

Step-by-step explanation:

The decimal \(0.13\overline{7}\) consists of the sum of two terminating decimals and one non-terminating decimal:

\(0.13\overline{7}=0.1+0.03+0.00\overline{7}\)

Therefore, we have:

\(0.13\overline{7}=\frac{1}{10}+\frac{3}{100}+\frac{7}{900},\\\\0.13\overline{7}=\frac{10}{100}+\frac{3}{100}+\frac{7}{900},\\\\0.13\overline{7}=\frac{13}{100}+\frac{7}{900}=\frac{117}{900}+\frac{7}{900}=\boxed{\frac{124}{900}}\)

Hector's answer is equivalent but not simplified. However, they are both technically correct.

Therefore, the probability of getting exactly 4 calls between 8:00 AM and 9:00 AM is approximately 0.1755, rounded to four decimal places.

To calculate the probability of getting exactly 4 calls between 8:00 AM and 9:00 AM, we need to use the Poisson distribution formula. The Poisson distribution is commonly used to model the number of events occurring in a fixed interval of time or space. In this case, the mean (λ) is given as 5. The formula for the Poisson distribution is:

P(X = k) = (e*(-λ) * λ\(^k\)) / k!

Where:

P(X = k) is the probability of getting exactly k calls

e is the base of the natural logarithm (approximately 2.71828)

λ is the mean number of calls (given as 5)

k is the number of calls (in this case, 4)

k! is the factorial of k

Let's calculate the probability using the formula:

P(X = 4) = (e*(-5) * 5⁴) / 4!

P(X = 4) ≈ 0.1755

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The possible angles between two unit vectors u and v if ||u x v|| = 1/2 are either 30 degrees or 150 degrees.

The magnitude of the cross product between two vectors u and v is equal to the area of the parallelogram formed by the two vectors. Since the magnitude of the cross product is ||u x v|| = 1/2, it means that the area of the parallelogram formed by u and v is 1/2.

The area of a parallelogram is given by the formula A = ||u|| ||v|| sin(theta), where theta is the angle between the two vectors. Since both u and v are unit vectors, their magnitudes are 1. Thus, we can simplify the formula to A = sin(theta)/2.

Therefore, sin(theta) = 1, which implies that theta is either 30 degrees or 150 degrees. So the possible angles between u and v are either 30 degrees or 150 degrees.

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The average of the fraction of students on both classes who went on the field trip is; 13/20.

A fraction represents a part of a number or any number of equal parts. A fraction is a ratio of two integers called the numerator and denominator.

Given that the sum of the fraction of both students in the two classes is;

3/5 + 7/10

We know that the LCM of the denominators which are 5 and 10 is 10

Therefore, the sum of both fractions = 6/10 + 7/10 = 13/10

The average = 13/10 /2 = 13/10 x 2

The average = 13/20

Therefore, the average of the fraction of students on both classes who went on the field trip is; 13/20.

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The correlation coefficient (r) is 0.9168.

The correlation coefficient can be improved by ignoring the bill for the month of July.

The 4th data point on the graph which indicates the month of July is the farthest away from the regression line in comparison to other points, and should not be included in the correlation coefficient improvement calculations for the electricity bill.

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The sale price of the oil change after the discount can be found to be $25.50.

When given a discount, the selling price of an item is found by the formula:

= Price of item before discount - Discount

The discount on the oil change, given the price of the oil change and the coupon is:

= Price of oil change x Coupon rate

= 30 x 15%

= $4.50

The sale price after the oil change is:

= Price of oil change before discount - discount

= 30 - 4.50

= $25. 50

The first part of the question is:

An oil change at city auto is regularly $30. Mr Allen has a coupon for 15% off.

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Answer:

The answer is "20-gon"

Step-by-step explanation:

As the number of the sides increases the perimeters of the regular polygon go more closer to the circumference of the large circle. therefore the circumference of a circle is best moduled by the perimeter of the zo-gon as it has the maximum sides (z0) compared to hexagon (6), 15 gon(15), and Dodecagon(12).

Answer:

36

Step-by-step explanation:

21/7=3

12x3=36

7:12 = 21:36

Answer:

21/36

Step-by-step explanation:

To get from 7 to 21 we multiply to 3 so you would do the same for the bottom

The method involves using the terms p(n+2), p(n+1), and pn to obtain an accelerated estimate of the limit. Without these terms, we cannot apply Aitken's method accurately.

To generate the first five terms of the sequences using Aitken's Δ² method, we'll apply the recurrence relation for each given sequence. Here are the calculations for each case:

(a). Sequence: pn = (2 - e * pn-1 + pn-1^2) / 3, n ≥ 1, with p0 = 0.5

Term 1: p1 = (2 - e * p0 + p0^2) / 3 = (2 - e * 0.5 + 0.5^2) / 3

Term 2: p2 = (2 - e * p1 + p1^2) / 3

Term 3: p3 = (2 - e * p2 + p2^2) / 3

Term 4: p4 = (2 - e * p3 + p3^2) / 3

Term 5: p5 = (2 - e * p4 + p4^2) / 3

Perform the above calculations to find the exact values of p1, p2, p3, p4, and p5.

(b). Sequence: pn = (e * pn-1 / 3)^(1/2), n ≥ 1, with p0 = 0.75

Term 1: p1 = (e * p0 / 3)^(1/2)

Term 2: p2 = (e * p1 / 3)^(1/2)

Term 3: p3 = (e * p2 / 3)^(1/2)

Term 4: p4 = (e * p3 / 3)^(1/2)

Term 5: p5 = (e * p4 / 3)^(1/2)

Perform the above calculations to find the exact values of p1, p2, p3, p4, and p5.

(c). Sequence: pn = 3 - pn-1, n ≥ 1, with p0 = 0.5

Term 1: p1 = 3 - p0

Term 2: p2 = 3 - p1

Term 3: p3 = 3 - p2

Term 4: p4 = 3 - p3

Term 5: p5 = 3 - p4

Perform the above calculations to find the exact values of p1, p2, p3, p4, and p5.

(d). Sequence: pn = cos(pn-1), n ≥ 1, with p0 = 0.5

Term 1: p1 = cos(p0)

Term 2: p2 = cos(p1)

Term 3: p3 = cos(p2)

Term 4: p4 = cos(p3)

Term 5: p5 = cos(p4)

Perform the above calculations to find the exact values of p1, p2, p3, p4, and p5.

Please note that to apply Aitken's Δ² method, we would need additional terms from the sequence to calculate the acceleration factor.

The method involves using the terms p(n+2), p(n+1), and pn to obtain an accelerated estimate of the limit. Without these terms, we cannot apply Aitken's method accurately.

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Complete question is,

The following sequences are linearly convergent. Generate the first five terms of the sequence {p^n}{p^​n​} using Aitken’s Δ² method.

a. p0=0.5, pn=(2−epn−1+pn−12)/3,n≥1

b. p0=0.75, pn=(epn−1/3)1/2,n≥1

c. p0=0.5, pn=3−pn−1,n≥1

d. p0=0.5, pn=cos⁡pn−1,n≥1

Answer:

first second and third i believe

Step-by-step explanation:

Answer:

the first and third

Step-by-step explanation:

hope i was right lol

Answer:

The methods of embalming, or treating the dead body, that the ancient Egyptians used is called mummification. Using special processes, the Egyptians removed all moisture from the body, leaving only a dried form that would not easily decay. Mummification was practiced throughout most of early Egyptian history.

Step-by-step explanation:

Answer:

Mummification was a process that took out all of the organs, then raping them  in bandages. The took out the brain with a hook that went in threw the nose, they cut open the body and took out the other organs. They left the heart in because they believed that their gods weighed the heart to she if you deserved to go to heaven. The other organs went into bottles that were put in the tombs.  

Step-by-step explanation:

I don't really know if the process worked but I think it did because some are still well preserved today

Answer: Its a

Step-by-step explanation:

The value of \(x=3+\sqrt{5}\) make the quadratic equation true.

Given equation is,

                     \((x-3)^{2}=5\)

We have to solve above quadratic equation.

Expand above equation first,

                 \((x-3)^{2}=5\\\\x^{2} +9-6x=5\\\\x^{2} -6x+4=0\\\\x=\frac{6\pm \sqrt{36-16} }{2} \\\\x=3\pm\sqrt{5}\)

Thus, the value of \(x=3+\sqrt{5}\) make the quadratic equation true.

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9514 1404 393

Answer:

  (b)  DCE is congruent to triangle D'C'E'

Step-by-step explanation:

The congruency statement must list the vertices in the same order.

  DCE ≅ D'C'E'

Its A on edge........

The smallest measurement used in the apothecary system for volume is the minim.

The apothecary system is an outdated system of measurements primarily used in pharmacy and medicine. It includes various units for measuring volume, weight, and other quantities.

In the apothecary system, the minim is the smallest unit of measurement for volume. It is equivalent to approximately 0.0616 milliliters.

The minim is a small unit of measurement and is typically used for precise dosing of liquids in the apothecary system. It is commonly used in pharmaceutical compounding and in the preparation of medications.

However, it's important to note that the apothecary system is no longer widely used in modern healthcare practices. The metric system, with units such as milliliters and liters, has become the standard for measuring volume in most countries.

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Answer:

In explanation.

Step-by-step explanation:

A: (-6, -6)

B: (4, -8)

C: (2, -2)

D: (-3, -1)

Answer:

Number one and number four is correct

Hope this helps!

The surface area generated by rotating the given curve about the y-axis is approximately 5.37 square units.

For finding the surface area generated by rotating a curve around the y-axis, the formula is S=2π∫aᵇ y√(1+(dy/dx)²) dx. To apply this formula, we find dy/dx and integrate the given curve.

Similarly, for the curve x=9t², y=6t³, we use the formula for parametric equations, Surface Area = ∫[2πx * sqrt((dx/dt)² + (dy/dt)²)] dt, from t=0 to t=5, and integrate it.

To find the surface area generated by rotating the given curve about the y-axis, we need to use the formula:

S = 2π∫aᵇ y√(1+(dy/dx)²) dx

First, we need to find dy/dx:

dx/dt = 18t
dy/dt = 18t²

dy/dx = dy/dt ÷ dx/dt = 18t² ÷ 18t = t

Now, we can plug in y and dy/dx into the formula and integrate from 0 to 5:

S = 2π∫0⁵ 6t³ √(1+t²) dt
S = 2π∫0⁵ 6t³(1+t²)⁽¹/²⁾ dt

This integral is a bit tricky to solve, so we can use integration by substitution. Let u = 1+t², then du/dt = 2t and dt = du/2t. Substituting into the integral:

S = 2π∫1²⁶(u-1)⁽¹/²⁾ du/2
S = π∫1² (u-1)⁽¹/²⁾ du
S = π(2/3)(2⁽³/²⁾ - 1)

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Answer:

Step-by-step explanation:

To find the least cost allocation of tasks between four people, we need to determine the assignment that results in the minimum total cost. From the given information, we can allocate tasks by assigning a number to each person for each task.

Let's denote the people as A, B, C, and D, and the tasks as 1, 2, 3, and 4. The costs for each assignment are given in the table below:

Task 1 Task 2 Task 3 Task 4

Person A 4 3 5 2

Person B 2 4 3 1

Person C 3 1 2 5

Person D 1 2 4 3

To find the least cost allocation, we need to select one task for each person such that the sum of the costs is minimized.

Based on the table, the least cost allocation would be as follows:

Person A - Task 2 (cost: 3)

Person B - Task 4 (cost: 1)

Person C - Task 3 (cost: 2)

Person D - Task 1 (cost: 1)

The total cost for this allocation is 3 + 1 + 2 + 1 = 7.

Therefore, the least cost allocation of tasks between the four people would be:

a. Person A - Task 2

b. Person B - Task 4

c. Person C - Task 3

d. Person D - Task 1

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Answer:

the brown rice is cheaper by the ounce than the white.

Step-by-step explanation:

Find the unit cost in each case.

Brown rice:

 79 cents

----------------- = $0.049/oz

  16 ounces

White rice:

 $3.49

----------------- = $0.109/oz

32 ounces

The brown rice, at 4.9 cents/oz, is the better deal against the competition, 10.9 cents/oz.

The maximum point of f(x) = sin(1/2)x on the interval [1, 4] is (4, sin(2)), and the minimum point is (1, sin(1/2)).

In the given function f(x) = sin(1/2)x, the graph represents a sinusoidal wave. The maximum and minimum points of the function occur at the peaks and valleys of the wave, respectively. The maximum point represents the highest point on the wave, while the minimum point represents the lowest point.

To find the maximum and minimum points on the interval [1, 4], we need to evaluate the function at the endpoints and at critical points where the derivative is zero. However, in this case, the function f(x) = sin(1/2)x is a simple sinusoidal function, and its maximum and minimum points occur at the endpoints of the interval.

At x = 4, the function reaches its maximum value, which is sin(2). Therefore, the maximum point is (4, sin(2)). At x = 1, the function reaches its minimum value, which is sin(1/2). Therefore, the minimum point is (1, sin(1/2)).

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Answer:

he value of the integral ∫ y tan(x) dx is y sin(x) + C.

Step-by-step explanation:

Property 8 of integrals states that if we have an integral of the form ∫ f(x) g'(x) dx, it can be rewritten as ∫ f(x) dg(x), where g(x) is an antiderivative of g'(x).

In this case, we have the integral ∫ y tan(x) dx. By applying Property 8, we can rewrite it as ∫ y d(sin(x)).

Now, integrating with respect to y while treating sin(x) as a constant, we get:

∫ y d(sin(x)) = y sin(x) + C,

where C is the constant of integration.

So, using Property 8, the value of the integral ∫ y tan(x) dx is y sin(x) + C.

The value of Absolute maximum are (a) 8, (b) -30.36, (c) -10 and the Absolute minimum are (a) -10, (b) -362.39, (c) -362.39.

We are given a function:f(x) = x³ - 12x² - 27x + 8We need to find the absolute maximum and absolute minimum values of the function f(x) over each of the indicated intervals. The intervals are:

a) Interval = [-2, 0]

b) Interval = [1, 10]

c) Interval = [-2, 10]

Let's begin:

(a) Interval = [-2, 0]

To find the absolute max/min, we need to find the critical points in the interval and then plug them in the function to see which one produces the highest or lowest value.

To find the critical points, we need to differentiate the function:f'(x) = 3x² - 24x - 27

Now, we need to solve the equation:f'(x) = 0Using the quadratic formula, we get: x = (-b ± √(b² - 4ac)) / 2a

Substituting the values of a, b, and c, we get:

x = (-(-24) ± √((-24)² - 4(3)(-27))) / 2(3)x = (24 ± √(888)) / 6x = (24 ± 6√37) / 6x = 4 ± √37

We need to check which critical point lies in the interval [-2, 0].

Checking for x = 4 + √37:f(-2) = -10f(0) = 8

Checking for x = 4 - √37:f(-2) = -10f(0) = 8

Therefore, the absolute max is 8 and the absolute min is -10.(b) Interval = [1, 10]

We will follow the same method as above to find the absolute max/min.

We differentiate the function:f'(x) = 3x² - 24x - 27

Now, we need to solve the equation:f'(x) = 0Using the quadratic formula, we get: x = (-b ± √(b² - 4ac)) / 2a

Substituting the values of a, b, and c, we get:

x = (-(-24) ± √((-24)² - 4(3)(-27))) / 2(3)

x = (24 ± √(888)) / 6

x = (24 ± 6√37) / 6

x = 4 ± √37

We need to check which critical point lies in the interval [1, 10].

Checking for x = 4 + √37:f(1) = -30.36f(10) = -362.39

Checking for x = 4 - √37:f(1) = -30.36f(10) = -362.39

Therefore, the absolute max is -30.36 and the absolute min is -362.39.

(c) Interval = [-2, 10]

We will follow the same method as above to find the absolute max/min. We differentiate the function:

f'(x) = 3x² - 24x - 27

Now, we need to solve the equation:

f'(x) = 0

Using the quadratic formula, we get: x = (-b ± √(b² - 4ac)) / 2a

Substituting the values of a, b, and c, we get:

x = (-(-24) ± √((-24)² - 4(3)(-27))) / 2(3)x = (24 ± √(888)) / 6x = (24 ± 6√37) / 6x = 4 ± √37

We need to check which critical point lies in the interval [-2, 10].

Checking for x = 4 + √37:f(-2) = -10f(10) = -362.39

Checking for x = 4 - √37:f(-2) = -10f(10) = -362.39

Therefore, the absolute max is -10 and the absolute min is -362.39.

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The value of M and N from the given expression is -10 and -21 respectively

Sum of functions is the addition of expression. Given the expression below;

M = 5(x + 1) and;

N = (6x - 3)

Take the difference of the expressions

M - N = 10

Substitute

5(x+1) - (6x-2) = 10

Expand the expression to have:

5x + 5 -6x + 2 = 10
5x - 6x + 5 + 2 = 10
-x + 7 = 10
-x = 10 - 7
-x = 3
x = -3

Determine the value of M

M = 5x + 5
M = 5(-3) + 5
M = -15 + 5
M = -10

Determine the value of N

N = 6x - 3
N = 6(-3) - 3
N = -18 - 3
N = -21

Hence the value of M and N from the given expression is -10 and -21 respectively

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Answer:

plz mark brainliest

Step-by-step explanation:

10^8

The probabilities are given as follows:

The parameters that are needed to calculate a probability are given as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

Out of the 12 regions, 4 are unshaded, hence the probability is given as follows:

P(unshaded) = 4/12 = 1/3 = 0.33 = 33%.

Out of the 12 regions, 4 are even and less than 10, hence the probability is given as follows:

P(even and less than 10) = 4/12 = 1/3 = 0.33 = 33%.

The spinner is given by the image presented at the end of the answer.

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Answer:

choice c

Step-by-step explanation:

choice c is correct

Option C, y = e^(x+y) + x^2 + 3x - 2, requires the use of implicit differentiation to find dy/dx.

The expression that requires the use of implicit differentiation to find dy/dx is option C: y = e^(x+y) + x^2 + 3x - 2.

Implicit differentiation is a technique used to differentiate equations where the dependent variable y is not explicitly expressed as a function of x. It involves differentiating both sides of the equation with respect to x, treating y as an implicit function of x.

Let's apply implicit differentiation to option C:

Starting with the equation: y = e^(x+y) + x^2 + 3x - 2

To find dy/dx, we differentiate both sides of the equation with respect to x:

d/dx(y) = d/dx(e^(x+y) + x^2 + 3x - 2)

Using the chain rule on the right side of the equation, we get:

dy/dx = d/dx(e^(x+y)) + d/dx(x^2) + d/dx(3x) - d/dx(2)

The derivative of e^(x+y) with respect to x requires the use of implicit differentiation. We treat y as an implicit function of x and apply the chain rule:

d/dx(e^(x+y)) = e^(x+y) * (1 + dy/dx)

The derivatives of the remaining terms on the right side are straightforward:

d/dx(x^2) = 2x

d/dx(3x) = 3

d/dx(2) = 0

Substituting these derivatives back into the equation, we have:

dy/dx = e^(x+y) * (1 + dy/dx) + 2x + 3

Next, we isolate dy/dx on one side of the equation by moving the term involving dy/dx to the left side:

dy/dx - e^(x+y) * dy/dx = e^(x+y) + 2x + 3

Factoring out dy/dx, we get:

(1 - e^(x+y)) * dy/dx = e^(x+y) + 2x + 3

Finally, we solve for dy/dx:

dy/dx = (e^(x+y) + 2x + 3) / (1 - e^(x+y))

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The easiest way to find the volume of a cylinder is by using the formula V=πr^2h.

This formula is derived from the formula for the area of a circle, A=πr^2, and the formula for the volume of a prism, V=Ah. To calculate the volume of a cylinder, you will need the radius (r) and the height (h) of the cylinder. The radius is the distance from the center of the circle to the sides of the cylinder. The height is the distance from the top to the bottom of the cylinder.

To use the formula, simply plug in the radius and height of the cylinder into the formula. For example, if the radius of a cylinder is 6 cm and the height is 8 cm, the volume can be calculated by multiplying π (3.14) by 6^2 (36) by 8 (288). The volume of the cylinder is then 806.72 cm^3.

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