13 ft

60 Ft

If the grain pile has a diameter of 60 feet and a height of 13 feet, what is the volume of the grain pile?

o A. 3900TT ft

B. 11700 ft

o C. 260 TT ft3

D. 15600TT ft3

Answer:

x=8

Step-by-step explanation:

add 5+1 and you get 6. To find what minus 6 equals 2 add 2 to 6 giving you 8

Answer:

4 - 1 + 5 =2

because if 1+5 is 6 then you need to know is 6 - what is 2 and the answer is 4.

Answer:

x=16

Step-by-step explanation:

you add all the 4s from the second step and get a product of 16.

there you go!

It is important to approach statements like this with caution and consider the complexity of the factors at play in career advancement and leadership positions.

While research may indicate that ethnicity can be a significant barrier to advancement in some cases, it is crucial to recognize that experiences can vary based on individual circumstances, industries, and regions. Gender and ethnicity intersect in complex ways, and the challenges faced by women of different ethnic backgrounds can differ significantly.

It is essential to avoid generalizations and recognize that multiple factors contribute to the barriers individuals face in reaching top leadership positions. These factors can include implicit biases, cultural norms, lack of representation, access to opportunities, networking, and organizational structures. Intersectionality, which considers how different aspects of a person's identity can intersect and create unique experiences, is also a crucial perspective to consider when discussing barriers to advancement.

To fully understand and address the barriers individuals face in reaching top leadership positions, it is necessary to consider a comprehensive range of factors and engage in ongoing research, dialogue, and efforts to promote equity, diversity, and inclusion in the workplace.

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The data set which has the smallest IQR is "Option C" - Final exams

Mid-term : 73,78,80,81,82,86,87,90,92,95,96

Q1 = 80

Q2 (median) = 86

Q3 = 92

IQR = Q3 - Q1 = 92 - 80 = 12

Midterm = 12

Finals : 75,78,78,78,81,82,83,83,85,85,100

Q1 = 78

Q2 = 82

Q3 = 85

IQR = Q3 - Q1 = 85 - 78 = 7

Finals = 7

12 > 7

Thus,

Midterm > Finals

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Full Question:

Although part of your question is missing, you might be referring to this full question:

The table below shows data for a class's mid-term and final exams:

Mid-Term Final

96 100

95 85

92 85

90 83

87 83

86 82

82 81

81 78

80 78

78 78

73 75

Which data set has the smallest IQR?

A. They have the same IQR

B. Mid-term exams

C. Final exams

D. There is not enough information

The variable data refers to the list [10, 20, 30]. After the statement data[1] = 5, data evaluates to [10, 5, 30]. A list is one of the compound data types that Python provides. Lists can contain items of different types, but they are usually all the same type.

Lists are mutable sequences, meaning that their elements can be changed after they have been created. Lists can be defined in several ways, including by enclosing a comma-separated sequence of values in square brackets ([ ]).

The elements of a list can be accessed using indexing, with the first element having an index of 0. The second element has an index of 1, the third element has an index of 2, and so on. To change the value of an element in a list, you can use indexing with an assignment statement.

For example, the statement `data[1] = 5` changes the second element of the `data` list to 5. Therefore, after this statement, the `data` list will be `[10, 5, 30]`.

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The area of the parallelogram is \(\sqrt{132}\).

A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure. Also, the interior angles on the same side of the transversal are supplementary. Sum of all the interior angles equals 360 degrees.

Given that,

vertices k(1, 1, 3), l(1, 3, 5), m(6, 9, 5), and n(6, 7, 3)

Area of Parallelogram = |KL × KN|

KL = (1, 1, 3) - (1, 3, 5) = (0, 2, 2)

KN = (1, 2, 3) - (3, 7, 3) = (2, 5, 0)

Area of the parallelogram = cross product of two vectors, represented by the adjacent sides.

Area of Parallelogram = |(0, 2, 2) × (2, 5, 0)|

                                    = |i(2 × 0 - 5 × 2) - j(0 × 0 - 2 × 2) + k(0 × 5 - 2 × 2)|

                                    = |i(-10) - j(-4) + k(-4)|

                                    = |-10i + 4j - 4k|

                                    = \(\sqrt{(-10)^{2}+(4)^{2}+(-4)^{2} }\)

                                    = \(\sqrt{100+16+16}\)

                                    = \(\sqrt{132}\)

Hence, The area of the parallelogram is \(\sqrt{132}\).

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The correct options for the values of a and b in the equation are a = 2 and b = -3/4

We shall use the negative sign before the bracket at the left hand side of the equation to open bracket as follows;

-(-2 + 3/3) = (- × -2) + (- × 3/4)

-(-2 + 3/3) = (+2) +(-3/4)

so the equation becomes;

7/8 -(-2 + 3/3) = (+2) +(-3/4) + 7/8.

Therefore, the correct options for the values of a and b in the equation are a = 2 and b = -3/4

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A. The y-intercept is at the point (0, 0).

B.  The zeros are x = 0 or x = ±√5

C.

A) The y-intercept of this graph is the point where x = 0.

When  x = 0, the value of y

= 0^4 - 5*0^2

= 0.

Therefore, the y-intercept is at the point (0, 0).

B) The x-intercepts/roots of the function are the values of x that make y = 0.

To find these values, we need to set y = 0 and solve for x:

x⁴ - 5x² = 0

x⁴ = 5x²

x² = x⁴/5

x = ±√(x⁴/5)

We can simplify this expression by factoring x² out of both sides:

x²(x² - 5) = 0

x² = 0 or x² - 5 = 0

x = 0 or x = ±√5

hence the x-intercepts are at x = 0 and x = ±√5.

C) The end behavior of this function refers to how the graph of the function approaches the x-axis as x approaches positive infinity and negative infinity.

x → ∞ f(x) → ∞

x → -∞ f(x) → -∞

D) The graph is attached

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Answer:

- 7, - 28, - 112, - 448, - 1792, - 7168

Step-by-step explanation:

Using the recursive formula and a₁ = - 7 , then

a₂ = 4a₁ = 4 (- 7) = - 28

a₃ = 4a₂ = 4(- 28) = - 112

a₄ = 4a₃ = 4(- 112) = - 448

a₅ = 4a₄ = 4(- 448) = - 1792

a₆ = 4a₅ = 4(- 1792) = - 7168

In order to simplify this expression, first let's put the denominator of the first fraction in the factored form:

To do so, let's find the zeros of the polynomial using the quadratic formula:

So we have:

Now, let's simplify the expression by inverting the division (turning it into a product) and canceling the like terms:

The right side of the expression is correct, therefore the answer is TRUE.

Answer:

-2-(-3)

= -2+3

= 1

Hence, it is not equal to -5

Answer:

-2-(-3)

= -2+3

= 1

Therefore-2-(-3) is not equal to -5

Answer:

$3.30

Step-by-step explanation:

Shirt price * city sales tax = sales tax amount on shirt. $39.95 * 0.0825 = $3.30

The limit is evaluated to be ⟨1,cos(t),0⟩, and g(t) should be 0 instead of h(t). In part (a), the lines intersect at a single point, and the equation of the plane containing them is x+2y+2z=7. In part (b), the lines do not intersect.

For the first part of the question, we can start by computing the difference quotient:

hr(t+h)−r(t)​=⟨h, sin(t+h)-sin(t), 0⟩

Then, taking the limit as h approaches 0, we get:

lim h→0​hr(t+h)−r(t)​=⟨1,cos(t),0⟩

So the answer is ⟨1,cos(t),0⟩.

In the initial question, it is stated that g(t) is equal to h(t), which is incorrect. Instead, we should have g(t) = 0, since the z-component of the limit is 0. For part (a), we can find the intersection point by setting the two vector equations equal to each other:

5t = t-6

2t-1 = -t+5

2t-2 = t-8

Solving this system of equations, we get t=1, which means the intersection point is (−1,4,−7).

To find the equation of the plane containing the two lines, we can take the cross product of their direction vectors:

⟨5,2,2⟩ × ⟨1,−1,1⟩ = ⟨4,−3,−7⟩

So the equation of the plane is 4x - 3y - 7z = -35, which can be simplified to x + 2y + 2z = 7.

For part (b), we can find the intersection by setting the x, y, and z components of the two vector equations equal to each other, and solving the resulting system of equations. However, we will find that there is no solution, which means the lines do not intersect. Therefore, the final answers are: - Limit: ⟨1,cos(t),0⟩ - Part (a): intersection point is (-1,4,-7), and equation of plane is x + 2y + 2z = 7 - Part (b): lines do not intersect.

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Answer:

1100 milliliters.

Step-by-step explanation:

First, separate the numbers 275, it will be 200, 70, and 5.

Second, multiply 4x200, it equals 800

Third, multiply 4x70, it equals 280

Fourth, multiply 4x5, it equals 20.

Fifth, add them all together one by one like 280+20=300, then add 280+800 which is 1100.

The area of a right triangle can be calculated as half the product of each leg length.

So, if the legs measure 4 cm and 3 cm, we have:

Therefore the triangle area is 6 cm².

The answer to this is B: 191

Answer:

Your answer is B) 191

Hope it helps

Step-by-step explanation:

Area of a circle=

πr^2 where r is the radius

Radius= 7.8 (given)

Therefore the area

= πr^2

= π(7.8)^2

= π*60.84

= 3.14*60.84

= 191.13

Or 191 cm ^2 approx

The total amount of interest paid along with annual rate is $163.80 at 16.08%.

The annual percentage rate refers to the yearly rated interest which is taken from when the individual takes a loan. It is also considered a measure of the cost of credit or borrowing expense which involves a interest and fees concerning the transaction.

And an annual percentage yield is helpful in the effective annual rate which includes the points of compounding given in that year.

For the given loan of $1000 with a 15% APR compounded monthly,

The evaluated monthly interest rate would be

15%/12 = 1.25%.

The total evaluated amount of interest paid on the course of a year will be $163.80.

The current effective annual rate will be 16.08%.

The total amount of interest paid along with annual rate is $163.80 at 16.08%.

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Answer:

1.) -4x+30y 2.) distributive property 3.) -4x+30y, (-0.4(3)+3(2)), 10(-1,2)+10(6), -12+60, =48

Step-by-step explanation:

10(-0.4x+3y)= 10(-0.4x)+10(3y)= -4x+30y

10(-0.4(3)+3(2))

10(-0.4(3))+10(3(2))

10(-1.2)+10(6)

-12+60

= 48

There are 28 ways to randomly select 2 fish from 8 fish and put each of the 2 selected fish into different containers. Hence, the accurate answer is option (b) 28.

To determine the number of ways to randomly select 2 fish from 8 fish and put each of the 2 selected fish into different containers, we will use the formula for combinations, which is given by -

nCk = n! / (k!(n-k)!)

where n is the total number of items, k is the number of items to be selected, and ! denotes the factorial function (the product of all positive integers up to a given number).

Here, we are given n = 8 fish and k = 2 fish.

Thus, the number of ways to select and place 2 fish from 8 fish will be -

8C2 = 8! / (2!(8-2)!) = (8 x 7) / (2 x 1) = 28

Therefore, there are 28 ways to randomly select 2 fish from 8 fish and put each of the 2 selected fish into different containers.

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Since our test statistic of 2.727 is greater than the critical value, we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that more than 30% of people have considered a career in science.

To test whether more than 30% of people have considered a career in science, we can use a one-sample proportion hypothesis test. Let p be the true proportion of people who have considered a career in science.

Our null hypothesis is that the true proportion is 0.30 or less, and our alternative hypothesis is that the true proportion is greater than 0.30.

H0: p <= 0.30

Ha: p > 0.30

We can use the sample proportion of 178/514 = 0.346 to estimate the true proportion p. The standard error of the sample proportion is:

√[(0.30 * 0.70) / 514] = 0.022

Using the normal approximation to the binomial distribution, we can calculate the test statistic:

z = (0.346 - 0.30) / 0.022 = 2.727

At the α = 0.05 level of significance, the critical value for a one-tailed test is 1.645.

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Answer: 96 divide by 8

Step-by-step explanation:

No, the function y=2sin(2x) is not a solution of the differential equation y'''-8y=0.

To determine whether a function is a solution to the differential equation, we have to first find the derivatives of the function. The derivatives of y=2sin(2x) are y'=4cos(2x), y''=-8sin(2x) and y'''= -16cos(2x).

Next, we have to substitute the derivatives of the given function into the differential equation. When we substitute the derivatives of y=2sin(2x) into the differential equation, we get -16cos(2x) - 8×2sin(2x) = 0. This is not equal to 0, so y=2sin(2x) is not a solution to the differential equation y'''-8y=0.

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Using the given conditions that sin(20) = cos(2u) = tan(24) = 3, we can find the exact values of sin(2u), cos(2u), and tan(2u) using the double-angle formulas. By substituting the known values into the formulas, we can determine the exact values of these trigonometric functions.

Given sin(20) = 3, we can use the double-angle formula for sine to find sin(2u).

The double-angle formula for sine is sin(2u) = 2sin(u)cos(u). We know that sin(u) = -3/5, so we can substitute this value into the formula to calculate sin(2u).

Therefore, sin(2u) = 2(-3/5)(cos(u)).

Given cos(2u) = 3, we can use the double-angle formula for cosine to find cos(2u).

The double-angle formula for cosine is cos(2u) = cos^2(u) - sin^2(u). Since we already know sin(u) = -3/5 and cos(u) can be calculated using the Pythagorean identity (cos^2(u) = 1 - sin^2(u)), we can substitute these values into the formula to determine cos(2u).

Finally, given tan(24) = 3, we can use the double-angle formula for tangent to find tan(2u).

The double-angle formula for tangent is tan(2u) = (2tan(u))/(1 - tan^2(u)). By substituting the known value of tan(24) = 3 into the formula, we can calculate the exact value of tan(2u).

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Answer:

1

Step-by-step explanation:

Given \(a\), half the length of the major axis, and \(b\), half the length of the minor axis for an ellipse, its eccentricity is \(\displaystyle e=\sqrt{1-\frac{b^2}{a^2}}\), which tells us how close the ellipse is to the shape of a circle or how flat and round it is. An infinitely long ellipse would have an infinitely long major axis, so the greater the \(a\) value, the eccentricity gets infinitely closer to 1.

Answer:

Hey there!

6 is an integer, whole number, and real number.

Let me know if this helps :)

Answer:

Check the explanation

Step-by-step explanation:

1 centimetre is = 0.01 meter

therefore the scale in Brennan drawing is 1 centimetre  is used to represent 7 metres

Answer:

1 cm:7 meters

Step-by-step explanation:

The scale drawing shows the length in the drawing, then a colon and the actual lenght of the object. The actual building is 147 meters long and the drawing is 21 centimeters long. From this, we have:

21 cm:147 meters

As both numbers can be divided by 21, you can simplify and you would have that the scale of the drawing is:

1 cm:7 meters

Weighted Mean = (90 × 25% + 79 × 20% + 82 × 10% + 70 × 15% + 85 × 15%) / (25% + 20% + 10% + 15% + 15%)

Unweighted Mean = (90 + 79 + 82 + 70 + 85) / 5

One student, Kyle, hasn't taken his final exam yet, but his marks in the first five categories are 90, 79, 82, 70, and 85. This problem requires determining the weighted mean for Kyle before the final exam and comparing it to the unweighted mean.

To calculate the weighted mean for Kyle before the final exam, we need to multiply each category's mark by its corresponding weight, sum them up, and divide by the total weight. For Kyle, the weighted mean would be calculated as follows:

Weighted Mean = (Knowledge × 25% + Application × 20% + Thinking × 10% + Culminating Project × 15% + Final Exam × 15% + Communication × 15%) / (Total Weight)

However, since Kyle hasn't written his final exam yet, we can exclude the Final Exam mark and its weight from the calculation. The weighted mean would then be:

Weighted Mean = (90 × 25% + 79 × 20% + 82 × 10% + 70 × 15% + 85 × 15%) / (25% + 20% + 10% + 15% + 15%)

To find the difference between the weighted mean and the unweighted mean, we need to calculate the unweighted mean by simply taking the average of the marks in the first five categories:

Unweighted Mean = (90 + 79 + 82 + 70 + 85) / 5

By comparing the weighted mean and the unweighted mean, we can evaluate how much the inclusion of weights for different categories affects Kyle's overall mark.

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Answer:

Interval Notation:  ( − ∞ , 3 ) ∪ ( 3 , ∞ )

Set-Builder Notation:  { x | x ≠ 3 }

Answer:

3=0.5p

Step-by-step explanation:

The cost to get a small sundae with P toppings added represented  as 3 + 0.5p.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Let's consider the toppings added to the chocolate sundae represented by p.

We will use the unitary method,

The cost of topping added to one chocolate = $0.50

The cost of topping added to p chocolate = $0.5p

So, the cost to get a small sundae with P toppings added is;

3 + 0.5p

Therefore, the cost to get a small sundae with P toppings added represented  as 3 + 0.5p

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