What is the area of the following circle?
Either enter an exact answer in terms of 7 or use 3.14 for it and enter your answer as a decimal.
d=2

A critical value, z Subscript alphas is (c) z-score with an area of ?? to its left.

A critical value, denoted as z (Subscript α/2), is a point on the standard normal distribution curve, which is used in hypothesis testing. It helps to determine whether to accept or reject the null hypothesis. In this context, the critical value denotes the z-score with an area of ?? to its left, which represents the probability of observing a value more extreme than the critical value in the left tail of the distribution.

The critical value z Subscript α/2 signifies the z-score with an area of ?? to its left on the standard normal distribution curve, which is crucial for hypothesis testing.

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The approximate volume of the remaining solid is option (b) 77 cubic inches

The volume of the rectangular prism is given by

V_rectangular prism = base area x height = 4 x 4 x 6 = 96 cubic inches

The volume of the cylinder is given by

V_cylinder = π x r^2 x h = π x 1^2 x 6 = 6π cubic inches

To find the volume of the remaining solid, we need to subtract the volume of the cylinder from the volume of the rectangular prism

V_remaining solid = V_rectangular prism - V_cylinder = 96 - 6π ≈ 77 cubic inches (rounded to the nearest whole number)

Therefore, the correct option is (b) 77 cubic inches

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Answer:

Domain = (-5,1,3)

Range = ( -4,-2,0,2,4)

This is not a function

Step-by-step explanation:

Domain = (-5,1,3)

Range = ( -4,-2,0,2,4)

Since one x value gives two points for y

this is not a function

Sam's height given the percentage and height of his mother is 120 cm

In order to find Sam's height, x, equate the Percentage of Sam's mother height to Sam's mother height

Percentage of Sam's mother height = Sam's mother height

125% of x = 150

1.25 × x = 150

1.25x = 150

x = 150/1.25

x = 120 cm

Therefore, Sam's height is 120 cm if the percentage of his mother's height is is 125% of Sam's height.

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Answer:

I'm not sure if you have answer choices but here's the explaination!!

Step-by-step explanation:

Reflect across the y-axis, translate 4 units to the right, and vertically stretch by a factor of 2.  

Hope this helps!! Good luck. (:

The expression at the upper and lower limits and the difference is

∫[0,1]√(4-3\(x^2\)) dx \(=(2 - (3/2)(1)^2) - (2 - (3/2)(0)^2) = (2 - 3/2) - (2 - 0) = (4/2 - 3/2) = 1/2.\)

To evaluate the integral ∫√(4-3\(x^2\)) dx, where the interval of integration is 0≤x≤1, we can use various techniques such as substitution or integration by parts. Let's proceed with the method of substitution to simplify the integral and find its value.

First, let's identify a suitable substitution for the integral. Since the expression inside the square root contains a quadratic term, it is beneficial to let u be equal to the square root of the quadratic expression. Therefore, we set u = √(4-3\(x^2\)).

Next, we need to find the differential of u with respect to x. Taking the derivative of both sides with respect to x, we have du/dx = (-6x)/(2√(4-3\(x^2\))) = -3x/√(4-3\(x^2\)).

Now, we can rewrite the integral in terms of the new variable u. Substituting u = √(4-3\(x^2\)) and du = (-3x/√(4-3\(x^2\))) dx into the integral, we have:

∫√(4-3\(x^2\)) dx = ∫u du

Our new integral is now much simpler, as it reduces to the integral of u with respect to u. Integrating u, we get:

∫u du = (1/2)\(u^2\) + C,

where C is the constant of integration.

Now, we can substitute back for u in terms of x. Recall that we set u = √(4-3x^2). Therefore, the final result becomes:

∫√(4-3x^2) dx = (1/2)(√\((4-3x^2))^2 + C = (1/2)(4-3x^2) + C = 2 - (3/2)x^2 + C.\)

To find the definite integral over the interval [0, 1], we need to evaluate the expression at the upper and lower limits and find the difference:

∫[0,1]√(4-3\(x^2\)) dx\(= (2 - (3/2)(1)^2) - (2 - (3/2)(0)^2) = (2 - 3/2) - (2 - 0) = (4/2 - 3/2) = 1/2.\)

Therefore, the value of the definite integral ∫√(4-3\(x^2\)) dx over the interval [0, 1] is 1/2.

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Answer:

True

Step-by-step explanation:

1 and 2 are next to each other and adjacent means next to each other.

Do \(288*2/3=192\) to determine how many cupcakes were sold out of the 288 items.

Subtract the cupcakes from the whole to determine how many cookies were sold out of the 288 items 288-192=96

Do \(96*0.50=48\) to determine how much money was made from each sale of the cookies.

The chess club members raised $48 from the cookies that were sold.  

The chess club members raised $192 from the cupcakes that were sold.

The chess club members made $240 in total from the bake sale.

The amount raised from the sale of cookies is $48

The fraction of cookies sold = 1 - fraction of cupcakes

Fraction of cookies = 1 - 2/3 = 1/3

Number of cookies sold = 288 × 1/3 = 96 cookies

Number of cupcakes = 288 × (2/3) = 192 cupcakes

Amount made from sale of cupcakes :

$1 × 192 = $192

Amount made from sale of cookies :

$0.50 × 96 = $48

Therefore, the amount raised from the sale of cookies is $48

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Answer:

D.

Step-by-step explanation:

Answer:

d= -1/8

Step-by-step explanation:

8d+d+3d+2+4d= 16d+2

16d= -2

d= -1/8

Since the scooter is rented for $1 and the firm charges $0.15 per minute, the necessary expression is 1+0.15m.

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: (Number/variable, Math Operator, Number/variable) is an expression.

Here,

rent of scooter=$1

rent of scooter per minute=$0.15

The expression,

=1+0.15m

The required expression is 1+0.15m as rent of scooter is $1 and per minute rent charged by company is $0.15.

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John needs to make an annual beginning-of-the-year payment of approximately $369,238.68 to fund the estimated college costs of $196,000 in 10 years, given the after-tax rate of return of 8.65% compounded annually.

To compute the annual beginning-of-the-year payment necessary to fund the estimated college costs, we can use the present value of an annuity formula.

The present value of an annuity formula is given by:

P = A * [(1 - (1 + r)^(-n)) / r],

where P is the present value, A is the annual payment, r is the interest rate per period, and n is the number of periods.

In this case, John wants to accumulate $196,000 in 10 years, and the interest rate he can earn is 8.65% compounded annually. Therefore, we can substitute the given values into the formula and solve for A:

196,000 = A * [(1 - (1 + 0.0865)^(-10)) / 0.0865].

Simplifying the expression inside the brackets:

196,000 = A * (1 - 0.469091).

196,000 = A * 0.530909.

Dividing both sides by 0.530909:

A = 196,000 / 0.530909.

A ≈ 369,238.68.

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Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

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

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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The Tracking Signal in Week 3 is -1.8.

The Tracking Signal in Week 3 can be calculated by using the following formula:

Tracking Signal = (Sum of Forecast Errors) / (Mean Absolute Deviation)

First, we need to calculate the forecast errors for each week:

Week 1 Forecast Error = Actual Demand - Forecast = 50 - 49 = 1
Week 2 Forecast Error = Actual Demand - Forecast = 54 - 56 = -2
Week 3 Forecast Error = Actual Demand - Forecast = 58 - 60 = -2

Next, we need to calculate the Mean Absolute Deviation (MAD):

MAD = (|1| + |-2| + |-2|) / 3 = (1 + 2 + 2) / 3 = 5 / 3 = 1.67

Finally, we can calculate the Tracking Signal:

Tracking Signal = (1 + -2 + -2) / 1.67 = -3 / 1.67 = -1.8

Therefore, the Tracking Signal in Week 3 is -1.8.

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Answer: 240 Grams.

Step-by-step explanation: First I need to find how many grams each bat eats, then multiply the 48 bats by each gram the bats eat. And you would get 240!

Answer:

10

Step-by-step explanation:

Answer:

B    the aswer is 10.

Step-by-step explanation:

The answer to your question is an=2.3n - 1

Answer:

Step-by-step explanation:

tan 45=1

\(tan 2\alpha =\frac{2tan\alpha}{1-tan^2\alpha } \\put~\alpha =22.5\\2\alpha =2 \times 22.5=45\\tan~2\alpha =tan~45=1\\1=\frac{2tan \alpha }{1-tan^2\alpha} \\1-tan^2\alpha =2 tan\alpha \\ tan^2\alpha +2tan \alpha -1=0\\tan\alpha =\frac{-2 \pm\sqrt{4+4} }{2} \\=-1\pm\sqrt{2} \\\alpha =22.5\\so ~tan~\alpha ~is~positive.\\so ~tan~\alpha =\sqrt{2} -1\)

We can clearly conclude from the passage that the correct conclusion is option C (Assumption).

What is assumption and conclusion?

An assumption is an unstated premise that supports the conclusion. Both premise and assumption are unquestionable facts but the assumption, unlike the premise, is not explicitly stated and needs to be deciphered.

A conclusion is the claim, the main point of the argument.

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Answer:

3/2 or 1.5

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

y = mx + c

m = the slope

2y = 3x + 4

y = 3x + 4 / 2

y = 1.5x + 2

slope = 1.5

a. The yield for the Phoenix chip is not provided in the given hypothetical statistics, so we cannot determine it.

b. The Phoenix chip may have a higher defect rate than Blue dragon due to several factors. One possible reason is that the design of Phoenix may be more complex, with a higher density of transistors and interconnects, which can increase the chances of defects. Additionally, Phoenix may be manufactured using a more advanced process technology, such as 7nm or 5nm, which can also increase the defect rate. Another factor could be the materials used in the fabrication process, which can affect the quality and reliability of the chip. Furthermore, the yield and defect rate of a chip are typically inversely proportional, meaning that as the defect rate increases, the yield decreases. This relationship is due to the fact that defects reduce the number of functional chips that can be produced from a given wafer. Therefore, even if Phoenix has a higher defect rate than Blue dragon, its yield may still be acceptable if the defect rate is within the acceptable range and the cost of manufacturing is reasonable.

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Answer:

240 marbles.

Explanation:

Let us call R the number of red marbles, B the number of blue marbles, and N the total number of marbles. Then we know that

Furthermore, we also know that there are 160 blue marbles, meaning B = 160:

We also know that the probability of getting a red marble is 1 / 3, meaning 1 /3 of the total number of marbles is red:

Since N = R + 160, the above becomes

Multiplying both sides by 3 gives

subtracting R from both sides gives

Finally, dividing both sides by 2 gives

Hence, there are 80 marbles in the box.

Therefore, the total number of marbles in the box is

The total number of marbles in the box is 240.

Derivative of six inverse trigonometric functions are as follow:

d/dx(sin⁻¹x) = 1 / √1 - x²

d/dx(cos⁻¹x) = -1 / √1 - x²

d/dx(tan⁻¹x) = 1 / √1 + x²

d/dx(cosec⁻¹x) = -1 / |x|√ x² - 1

d/dx(sec⁻¹x) = 1 / |x|√ x² -1

d/dx(cot⁻¹x) = -1 / √1 + x²

As given in the question,

Explanation of the derivative of six inverse trigonometric functions are as follow:

1. y = sin⁻¹x

⇒ x = siny

⇒d/dx(x) = d/dx(siny)

⇒ 1 = cosy dy/dx

⇒dy/dx = 1/cosy

⇒dy/dx = 1/√1-sin²y

⇒dy/dx = 1/√1-x²

⇒d/dx( sin⁻¹x) = 1/√1-x²

2. y = cos⁻¹x

⇒ x = cosy

⇒d/dx(x) = d/dx(cosy)

⇒ 1 =-siny dy/dx

⇒dy/dx = -1/siny

⇒dy/dx = -1/√1-cos²y

⇒dy/dx = -1/√1-x²

⇒d/dx( cos⁻¹x) = -1/√1-x²

3. y = tan⁻¹x

⇒ x = tany

⇒d/dx(x) = d/dx(tany)

⇒ 1 =sec²y dy/dx

⇒dy/dx = 1/sec²y

⇒dy/dx = 1/√1+ tan²y

⇒dy/dx = 1/√1 + x²

⇒d/dx( tan⁻¹x) = 1/√1+x²

4. y = cosec⁻¹x

⇒ x = cosecy

⇒d/dx(x) = d/dx(cosecy)

⇒ 1 =-cosecy coty dy/dx

⇒dy/dx = -1/cosecy coty

⇒dy/dx = -1/cosecy√cosec²y-1

⇒dy/dx = -1/|x|√x²-1

⇒d/dx( cosec⁻¹x) = -1/|x|√x²-1

5.   y = sec⁻¹x

⇒ x = secy

⇒d/dx(x) = d/dx(secy)

⇒ 1 =secy tany dy/dx

⇒dy/dx = 1/secy tany

⇒dy/dx = 1/secy√sec²y-1

⇒dy/dx = 1/|x|√x²-1

⇒d/dx( sec⁻¹x) = 1/|x|√x²-1

6. y = cot⁻¹x

⇒ x =coty

⇒d/dx(x) = d/dx(coty)

⇒ 1 =-cosec²y dy/dx

⇒dy/dx = -1/cosec²y

⇒dy/dx = -1/√1+ cot²y

⇒dy/dx = -1/√1 + x²

⇒d/dx( cot⁻¹x) = -1/√1+x²

Therefore, the derivative of the six inverse trigonometric functions are given below:

d/dx(sin⁻¹x) = 1 / √1 - x²

d/dx(cos⁻¹x) = -1 / √1 - x²

d/dx(tan⁻¹x) = 1 / √1 + x²

d/dx(cosec⁻¹x) = -1 / |x|√ x² - 1

d/dx(sec⁻¹x) = 1 / |x|√ x² -1

d/dx(cot⁻¹x) = -1 / √1 + x²

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Explanation:

Use your calculator to find that 89/6 = 14.8333 approximately

The whole part 14 means each of the six people get 14 chips

That means 6*14 = 84 chips have been eaten so far, leaving 89-84 = 5 chips left over for her sister.

----------

In other words,

89/6 = 14 remainder 5

which can be found through long division as shown below