What is the volume (in cubic feet) of the composite shape rounded to the nearest whole number?

In the Fixed deposit account, you will not be able to withdraw your money before time without a penalty fee from the bank and you will receive a fixed amount of interest on your original deposit.

In a Fixed-Term Deposit account, an account is opened with a bank wherein, the bank pays a guaranteed interest rate on the sums deposited for a fixed period or tenure.

This type of account allows you to earn higher returns (interest) on funds lying idle in your Savings Account.

Banks are free to charge their own penalty fee in the case of premature withdrawal of Fixed Deposit.

At the end of the stipulated period, the deposit will automatically be renewed unless you update your maturity instructions.

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Andrea arrived 5 minutes past 11:00 am, or at 11:05 am. Adding the 8 minutes indicated on her card, we get 11:13 am as the time Andrea arrived.

Let x be the number of minutes past 11:00 am that Andrea arrived. Then, Zach arrived (x + 15) minutes past 11:00 am. Two minutes ago (i.e., at 11:28 am), Andrea had been waiting for (28 - x) minutes, and Zach had been waiting for (13 + x) minutes. Three minutes from now (i.e., at 11:33 am), Andrea will have been waiting for (33 - x) minutes, and Zach will have been waiting for (18 + x) minutes. Since Andrea and Zach have waited for the same amount of time, we can set up the equation:

Solving for x, we get:

2x = 10

x = 5

Therefore, Andrea arrived 5 minutes past 11:00 am, or at 11:05 am. Adding the 8 minutes indicated on her card, we get 11:13 am as the time Andrea arrived.

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The diagonal through the interior of the cube is side CF. Option B

To determine the diagonal of the cube:

We need to know the properties of a cube. These properties are;

From the diagram shown, we have that;

Diagonal through interior of the given cube will be the segments joining the vertices A-H, G-B, C-F and D-E.

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The complete question is:

Which is a diagonal through the interior of the cube

A. Line BE

B. Line CF

C. Line DG

D. Line GF

The flux of the vector-field F = 4i + 4j + 1k across the surface S is 63/4. We find out the flux of the vector-field using Green's Theorem.

Flux form of Green's Theorem for the given vector-field

φ = ∫ F.n ds

= ∫∫ F. divG.dA

Here G is equivalent to the part of the plane = 3x+2y+z = 3.

and given F = 4i + 4j + 1k

divG = div(3x+2y+z = 3) = 3i + 2j + k

Flux = ∫(4i + 4j + 1k) (3i + 2j + k) dA

φ = ∫ (12 + 8 + 1)dA

= 21∫dA

A = 1/2 XY (on the given x-y plane)

3x+2y =3

at x = 0, y = 3/2

y = 0, x = 1

1/2 (1*3/2) = 3/4

Therefore flux = 21*3/4 = 63/4

φ = 63/4.

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Answer:

35/6

Step-by-step explanation:

first you have to multiply 7 by 5/6 and that will get you to the answer of 35/6

mark me brainliest pls

Step-by-step explanation:

The values for a, b, and c for the quadratic formula, are a = 1, b = 4, c = -9

The quadratic formula is a formula that provides the solution to a quadratic equation. There are other ways of solving a quadratic equation instead of using the quadratic formula, such as factoring, completing the square, graphing and others.

Given that, Brandon is solving an equation, x²+4x=9, he used quadratic formula, to solve the equation,

x²+4x=9

x²+4x-9 = 0

Using the quadratic formula, we get,

x = -b±√b²-4ac /2a

Here, the terms are,

a = 1, b = 4 and c = -9

Hence, the values for a, b, and c for the quadratic formula, are a = 1, b = 4, c = -9

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The "countTeams" function is an efficient solution for the chess tournament problem for HackerRank employees.

The function "countTeams" is a program designed to solve a chess tournament problem for HackerRank employees. The problem involves finding the number of teams that can be formed from a group of n employees, where each employee has a unique rating.

The program takes in two parameters, n (the number of employees) and an array of ratings.

Additionally, there are q queries, each of which ask for the number of teams that can be formed considering employees with specific IDs.

The function must then calculate and return the number of teams that can be formed in each query.

The function works by first initializing a dictionary to store the frequency of each rating in the given array. Then, for each query, it loops through the ratings of the employees with the given IDs and adds the frequency of the rating to a counter.

Finally, the counter is divided by 2 to give the number of teams that can be formed with employees with the same rating.

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Answer:

18 dollars per hour

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

114 is divisible by 3 = 38

Answer:

You spent $14.5

Step-by-step explanation:

You just add tgem ad yeah

Answer:

Step-by-step explanation:

barrier = parameter, so we add all the sides:

8+3+3+5+5 = 24

24*1.75 = $42.

THEN, we need the area to solve for the mulch.

I would split it up into two parts so the rectangle and then the triangle.

First, 8*3 is 24

now we divide this by four because one bag covers four square feet

so, 6 bags (24/4=6) which is $36 (6*$6).

_______________

Now, the triangle, which a = (hb*b)/2

12 divided by four again so 3

3 * 6 = $18.

Now we add ALL costs up to get

42+36+18 = $96 total for the entire project.

The probability that a randomly selected jury of 12 people is all male is 2.1 × 10⁻⁵.

What is the probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a proposition is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

An order does not matter so it is a Combination.

There are 16 men and we are going to choose 12 --> ₁₆C₁₂

There are 30 people and we are going to choose 12  --> ₃₀C₁₂

₁₆C₁₂ / ₃₀C₁₂

\(= \frac{16!}{(16 - 12)!} \div \frac{30!}{(30 - 12)!}\)  

= 0.00002104211

= 2.1 × 10⁻⁵

Hence, the probability that a randomly selected jury of 12 people is all male is 2.1 × 10⁻⁵.

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The statement which is true about the box plot for the provided data set is that the box will go from 44 to 64.

Box plot is the way of representation of data which gives the graphical image of the data set to understand better.

The minimum and the maximum values in the box plot is plotted at the end points.

The values of the data set is given as,

The statement is true of the box plot of this data set has to be find out.

In a box plot, the quartile is the limit of the box plot. The values can be go from the upper quartile to the lower quartile in a box plot.

Here, the upper quartile of the box plot is 64 and the lower quartile of box plot is 44. Thus, it can go only from 44 to 64.

Hence the statement which is true about the box plot for the provided data set is that the box will go from 44 to 64.

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The answer is C, the square root of 65 (8.062).

Approximately 2.28% of the students who took the test scored above 180.

Given the mean and standard deviation of Algebra 2 final scores, which are normally distributed as follows:Mean, µ = 150

Standard deviation, σ = 15

To find what percentage of students who took the test scored above 180, we will use the standard normal distribution formula: z = (x - µ) / σ

where, x = 180

Since we are interested in finding students who scored above 180, we will use the upper tail of the normal distribution curve.

Thus, the formula becomes:

z = (180 - 150) / 15z = 2

Using the z-table, the probability corresponding to a z-score of 2 is approximately 0.9772.

This means that about 0.9772 or 97.72% of the students scored below 180, and therefore, about 2.28% scored above 180.

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The Fourier series of the given function converges to: Therefore, the exact value of is:

Thus, the exact value of is.

Given function: We have to calculate the Fourier series of the function and use Dirichlet's theorem to find the exact value of. We know that, the Fourier series of f(x) is given by: …..(1) Where: Substituting the given values in equation (1), we get: Now, we have to use Dirichlet's theorem, which states that:

For a function f(x) that satisfies the following two conditions: The function f(x) is defined on a closed interval [a, b]. The function f(x) is piecewise continuous and has a finite number of discontinuities in the interval [a, b].Then, the Fourier series of f(x) converges to:

Where, and are the left-hand and right-hand limits of f(x) at each point of discontinuity. To use Dirichlet's theorem, we first check whether the given function satisfies the two conditions of the theorem or not. The given function is defined on the closed interval [0, 2].

And, we can see that the given function is continuous and has no discontinuity on the given interval [0, 2].

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Answer:

distance = 7.07 units

Step-by-step explanation:

x difference = 7

y difference = -1

using the Pythagorean theorem:

7² + -1² = d²

d² = 49 + 1 = 50

d = 7.07

Answer:

7.1

Step-by-step explanation:

distance between the x is 7 and y is 1

And to find the hypotenuse, you use the quadratic formula, 7^2 + 1^2 = c^2

c=50

and take the square root, which is 7.071, rounds to 7.1

Answer:

y = -2*0.5ˣ

Step-by-step explanation:

general formula for exponential function: y = abˣ

for point (0 , -2):    -2 = a*b⁰ = a * 1 = a

a = -2

for point (-1 , -4):   -4 = (-2) * b⁻¹       b⁻¹ = (-4) / (-2) = 2    

b = 1/2

exponential function:     y = -2*0.5ˣ

Here, we use the property of multiplication of exponential expression which states when we multiply two exponential expressions with the same base, we keep the base and add the exponents.

Therefore,

\(x^(3+5) = x^8\)

Now,

\(x^(3+5) = x^8\)

is of the form:

\(x^b = x^p\)

When we have two equal expressions on either side of the equation, the power of the base remains the same. Therefore,

p = 8

There we have it. The value of p is 8. The full solution is shown below:

\(x^3 × x^5 \\= x^px^8\\ = x^p\)

We can see that the base of the exponential expression on either side is equal.

Therefore, the power of the base must be equal as well. In other words

,p = 8.

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Answer:

YZ = 14

Step-by-step explanation:

We are told that;

WZ = 23 and XZ = 18

Now, ∠X in △XWZ which is a right angle triangle can be gotten using trigonometric ratio.

Thus;

WZ/XZ = tan θ

23/18 = tan θ

tan θ = 1.2778

θ = tan^(-1) 1.2778

θ = 51.95°

Now, the ∠X is 90° in △XWY.

Thus, in △XZY, ∠X = 90 - 51.95 = 38.05°

Again, using trigonometric ratio, we can find YZ.

Thus;

YZ/XZ = tan 38.05°

YZ = XZ tan 38.05°

YZ = 18 × 0.7827

YZ = 14.0886

Approximating to a whole number gives: YZ = 14

Answer:

x = -3

Step-by-step explanation:

\(-54= 6(x-6)\\\\-9=x-6\\\\x=-3\)

Answer:

x=-3

Step-by-step explanation:

-54= 6(x-6)

switch sides = 6(x-6)=-54

divide both sides by 6 =x-6=-9

add 6 to both sides = x=-3

x=-3

Answer:

$95,160

Step-by-step explanation:

Simple Interest Formula

I = Prt

where:

Given values:

Substitute the given values into the formula to calculate how much interest the account accrued in 4 years:

\(\implies \sf I=61000 \cdot 0.14 \cdot 4\)

\(\implies \sf I=8540 \cdot 4\)

\(\implies \sf I=34160\)

Therefore, the account accrued $34,160 of interest in 4 years.

To find how much Isabella will have in total after 4 years, add the principal to the interest:

\(\implies \sf A=61000+34160\)

\(\implies \sf A=95160\)

Therefore, Isabella will have a total of $95,160 in 4 years.

To calculate the unemployment rate, we need to divide the number of unemployed individuals by the total labor force and multiply the result by 100. The unemployment rate is 8 percent

The unemployment rate is calculated by dividing the number of unemployed individuals by the total labor force and multiplying the result by 100. In this case, the total labor force is given as 100,000, and the number of unemployed is given as 8,000.

Unemployment Rate = (Number of Unemployed / Total Labor Force) * 100

Plugging in the values:

Unemployment Rate = (8,000 / 100,000) * 100

Calculating the result:

Unemployment Rate = 0.08 * 100 = 8 percent

Therefore, the unemployment rate is 8 percent, which corresponds to option B.

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The first step is to assign variables to the unknowns in the problem. Let's use "l" to represent the length of the rectangle and "w" to represent the width.

Next, we can translate the given information into equations. We are told that the area of the rectangle is 55 square yards, so we have the equation lw = 55.

We are also told that the length is 4 yards less than 3 times the width. Using the variables we assigned earlier, we can write this as l = 3w - 4.

To find the dimensions of the rectangle, we can substitute the second equation into the first equation.

(3w - 4)w = 55

Expanding and simplifying this equation gives us

3w^2 - 4w - 55 = 0

We can solve this quadratic equation to find the possible values for w. Once we find the values of w, we can substitute them back into the second equation to find the corresponding values of l.

The process to find the dimensions of the rectangle is to set up and solve the equation for area and then substitute the solution into the equation for length.

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Each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

1. Horizontal Shift (c):
If there is a horizontal shift, the equation becomes y = (x - c)^3.
For example, if there is a shift of 2 units to the right, the equation would be y = (x - 2)^3.

2. Vertical Shift (d):
If there is a vertical shift, the equation becomes y = x^3 + d.
For example, if there is a shift of 3 units upwards, the equation would be y = x^3 + 3.

3. Vertical Stretch (a):
If there is a vertical stretch or compression, the equation becomes y = a * x^3.
For example, if there is a vertical stretch by a factor of 2, the equation would be y = 2 * x^3.

4. Reflection (along the x-axis):
If there is a reflection along the x-axis, the equation becomes y = -x^3.
This flips the graph of the original function upside down.

5. Reflection (along the y-axis):
If there is a reflection along the y-axis, the equation becomes y = (-x)^3.
This mirrors the graph of the original function.

6. Combined Transformations:
If there are multiple transformations, we can apply them in the order they are given. For example, if there is a vertical stretch by a factor of 2 and a horizontal shift of 3 units to the right, the equation would be y = 2 * (x - 3)^3.

Remember, each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

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Tax prep software can be used for federal taxes but not always for state taxes, which may require separate forms.

While documenting your government and state charges, you have a couple of choices for how to plan and submit them. One choice is to involve charge planning programming for government charges, which can simplify the cycle and more smoothed out.

In any case, you for the most part can't involve a similar programming for state charges, as each state has its own expense code and necessities.

All things being equal, you might have to set up your state burdens independently, either by finishing up paper structures or utilizing separate duty readiness programming planned explicitly for your state.

A few states bring concurrences with specific expense programming suppliers to the table free or limited programming to occupants, so it merits checking with your state's duty position to see what choices are accessible to you.

It's critical to take note of that while government and state burdens frequently require comparative data, they might require various structures and estimations, so giving close consideration to the particular prerequisites for each kind of tax is significant.

Furthermore, on the off chance that you live in an express that doesn't have a personal expense, you may just have to record a government expense form.

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Central Idea of the Poem; In the poem ‘Animals’, the poet Walt Whitman praises animals for being better than human beings and for possessing all such qualities that humans lack or have forgotten.

The poem Animals' central theme is that humans might get wisdom and virtues from the animals they formerly owned but have since lost.

The poet claims that animals possess many admirable traits like self-control, impartiality, and tranquility.

The comparison of people to animals in order to emphasize the shortcomings in human nature is the poem's main focus rather than praising how wonderful animals are.

The poet thinks that possibly people once possessed all of the virtues listed above, but that they have since lost them.

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The value of the expression 11C7 is 330. This can be calculated using the formula for combinations, which is nCr = n!/r!(n-r)!, where n is the total number of objects and r is the number of objects being selected. So, the correct answer is A).

To calculate the value of the expression 11C7, we need to use the formula for combinations or binomial coefficients, which is

nCr = n! / (r! * (n-r)!)

where n is the total number of items, r is the number of items to be chosen, and ! denotes the factorial operation (the product of all positive integers up to n).

In this case, we have

n = 11 and r = 7

So, we can substitute these values into the formula

11C7 = 11! / (7! * (11-7)!)

= 11! / (7! * 4!)

= (11 * 10 * 9 * 8 * 7 * 6 * 5) / (4 * 3 * 2 * 1)

= 330

Therefore, the value of the expression 11C7 is 330. So, the correct answer is A).

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--The given question is incomplete, the complete question is given

"Pls respond quick | what is the value of the expression? ₁₁C₇

a)330

b)1,663,200

c)5040

d)7920"--