a cube has total volume 12527 cubic inches. what is the area of a single face of the cube in square inches?

Answer:

Step-by-step explanation:

Answer:

4:18

2:9

Step-by-step explanation:

please give brainliest

Step-by-step explanation:

-1/4, -1/5, -1/6, -1/7, -1/8, 1/8, 1/7, 1/6, 1/5, 1/4

The *n will have exactly three distinct elements for 5 distinct integers .

In the question ,

it is given that ,

the set *n is =  {n - 2, n + 2, 2n, n/2} ,

we have to find that for how many distinct integers does *n will have exactly three distinct elements .

we know that *n will have exactly three  distinct elements if exactly 2 of the elements of {n - 2, n + 2, 2n, n/2} are same .

Solving the two equations one by one ,

we get ,

If n-2 = n+2 ;

n - n = 2 + 2

0 = 4 , So , No Solution .

if n - 2 = 2*n

2n - n = -2

So ,n = -2

if n - 2 = n/2 ,

2(n - 2) = n

2n - 4 = n

2n - n = 4

So , n = 4

If n+2 = 2n ,

2n - n = 2 , So , n = 2 .

if n + 2 = n/2 ,

then n = -4 .

If 2n = n/2 ,

then n = 0,

So , the integers are -4 , -2 , 0 , 2 , 4 .

Therefore , there will be 5 distinct integers .

The given question is incomplete , the complete question is

Suppose that *n = {n - 2, n + 2, 2n, n/2}. For example, *6 = {3,4,8,12}.  for how many distinct integers does *n have exactly three distinct elements ?

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Answer:

3pi/11...

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Answer:

135

Step-by-step explanation:

360/8=45

45x3=135

Answer:

64 ways

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

If you visualize that 1 person can line up in 8 different ways, by being first in line, second, third, etc. there are 8 possible ways 1 person can line up, so multiply that by the # of people which is 8.

Answer:

45 miles in 1 hour

Step-by-step explanation:

135/3 = 45

45 miles in 1 hour

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

Answer:

b = a + 4

Step-by-step explanation:

in 1) a = 4 and b = 8

b = a + 4

8 = 4 + 4

8 = 8

in 2) a = 8 and b = 12

b = a + 4

12 = 8 + 4

12 = 12

in 3) a = 12 and b = 16

b = a + 4

16 = 12 + 4

16 = 16

in 4) a = 16 and b = 20

b = a + 4

20 = 16 +4

20 = 20

therefore, b = a + 4 is the correct equation.

Answer:

33/4

Step-by-step explanation:

4 1/2=9/2

3 3/4=15/4

9/2+15/4=18/4+15/4=33/4

Angle DFE=30 -Vertically Opposite Angle

DFE=FDE=30 -Base angles of an isosceles triangle

y+x+30=180 -sum of angles of a triangle

y+30+30=180

y+60=180

y=180-60

y=120

Using trigonometric function the value of x is 51.3°.

What is trigonometric function?

The functions of an angle in a triangle are known as trigonometric functions, commonly referred to as circular functions. In other words, these trig functions provide the relationship between a triangle's angles and sides. There are five fundamental trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant.

Here Let us take the given right triangle as ABC.

∠A = x , ∠B = 90° and AB = 25 , AC= 40

Now using Cosine ratio then

Cos  A = \(\frac{adjacent}{hypotenuse}\)

=> cos x = \(\frac{25}{40}\)

=> cos x = \(\frac{5}{8}\)

=> x = \(cos^{-1}\frac{5}{8}\)

=> x = 51.3°

Hence the value of x is 51.3°.

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Answer:

um what

Step-by-step explanation:

these isn't a questinon

Answer:

u have to answer a question to get one    

not the other way around

Step-by-step explanation:

The equivalent expression 36x + 12 is the same as 24x - 48. Because the statement is identical to itself, the label 24x - 48 fits it.

This equation denotes the result of multiplying 24 by x and then subtracting 48.

The phrase is referred to as "36x + 12" since it is a duplicate of itself. This formula denotes the result of multiplying 36 by x and then adding 12.

The formulations in the two scenarios cannot be compared since they use different coefficients for x and different constant terms. The word "neither" does not apply to either phrase because they are both equal to one another.

Therefore, 36x + 12 is equal to the formula 24x - 48.

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The correct option is A. Write-in adjustments All above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040) are indicated as write-in adjustments.

All above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040) are referred to as write-in adjustments. Line 36 of Schedule 1 is where all write-in adjustments are reported. You have to provide a brief explanation of the adjustment and the corresponding amount for each write-in adjustment.If the IRS has developed an input line for a particular write-in adjustment, taxpayers must use that input line to report the adjustment. 

When writing in adjustments, taxpayers must ensure that the amount they enter is calculated and that they have a reasonable explanation for the adjustment. Taxpayers may be required to provide documentation to support the adjustment if the IRS requests it.

Miscellaneous adjustments and miscellaneous deductions are not used to describe all above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040).

Therefore, options C and D are incorrect. The correct option is A. Write-in adjustments.

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Answer:

C) Loan F's effective rate will be 0.302 percentage points lower than Loan G's

Step-by-step explanation:

Formula for effective rate is;

r_eff = [1 + (r/n)]^(n) - 1

Where;

r is interest rate

n is the number of compounding periods per year

Loan F has a nominal interest rate of 5.66%, compounded monthly

Thus: r_eff = [1 + (0.0566/12)]^(12) - 1 = 0.0581

Loan G has a rate of 6.02%, compounded semiannually.

Thus;

r_eff = [1 + (0.0602/2)]^(2) - 1 = 0.0611

Differece = 0.0611 - 0.0581 = 0.003

Converting to percentage gives : 0.003 × 100 = 0.3%

Thus,correct answer is option C

Answer:

C. Loan F’s effective rate will be 0.302 percentage points lower than Loan G’s.

Step-by-step explanation:

Answer: x = 3

Step-by-step explanation: Simplify both sides

2x - 9x + 17 = -4

2x + - 9x + 17 = -4

Combine like terms

(2x + -9x) (17) = -4

-7x + 17 = -4

Subtract 17 from both sides

-7x + 17 - 17 = -4 - 17

-7x = -21

Divide both sides by -7

-7x/-7 = -21/-7

x = 3

Answer:

x=3

Step-by-step explanation:

The more accurate method for calculating the total energy converted would be calculating the energy converted from the average power and total time.

To do this, follow these steps:

1. Determine the average power (in watts) during the given time period.
2. Calculate the total time (in seconds) of the conversion process.
3. Use the formula: Energy (in joules) = Average Power (in watts) x Total Time (in seconds).

This method provides a more accurate representation of the energy conversion as it takes into account the overall average power and time, rather than making multiple separate calculations and adding them together, which could result in potential discrepancies due to varying power levels throughout the process.

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The number of tractors lent by the first, second and third stations results in a system of three simultaneous equations which indicates;

The first originally station had 39 tractors, the second station had 21 tractors and the third station originally had 12 tractors

Simultaneous equations are a set of two or more equations that have common variables.

Let x represent the number of tractors at the first station, let y represent the number of tractors at the second tractor station, and let z, represent the number of tractors at the third tractor station

According to the details in the question, after the first transaction, we get

Number of tractors at the first station = x - y - z

Number of tractors at the second station = y + y = 2·y

Number of tractors at the third station = z + z = 2·z

After the second transaction, we get;

Number of tractors at the first station = 2·x - 2·y - 2·z

Number of tractors at the second station = 2·y - (x - y - z) - 2·z = 3·y - x - z

Number of tractors at the third station = 2·z + 2·z = 4·z

After the third transaction, we get;

Number of tractors at the first station = 2 × (2·x - 2·y - 2·z) = 4·x - 4·y - 4·z

Number of tractors at the second tractor station = 6·y - 2·x - 2·z

Number of tractors at the third tractor station = 4·z - (2·x - 2·y - 2·z) - (3·y - x - z) = 7·z - x - y

The three equations after the third transaction are therefore;
4·x - 4·y - 4·z = 24...(1)

6·y - 2·x - 2·z = 24...(2)

7·z - x - y = 24...(3)

Multiplying equation (2) by 2 and subtracting equation (1) from the result we get;

12·y - 4·x - 4·z - (4·x - 4·y - 4·z) = 16·y - 8·x = 48 - 24 = 24

16·y - 8·x = 24...(4)

Multiplying equation (3) by 2 and multiplying equation (2) by 7, then adding both results, we get;

14·z - 2·x - 2·y = 48

42·y - 14·x - 14·z = 168

42·y - 14·x - 14·z + (14·z - 2·x - 2·y) = 48 + 168

40·y - 16·x = 216...(5)

Multiplying equation (4) by 2 and then subtracting the result from equation (5), we get;

40·y - 16·x - (32·y - 16·x) = 216 - 48 = 168

8·y = 168

y = 168/8 = 21

The number of tractors initially at the second station, y = 21

16·y - 8·x = 24, therefore, 16 × 21 - 8·x = 24

8·x = 16 × 21 - 24 = 312

x = 312 ÷ 8 = 39

The number of tractors initially at the first station, x = 39

7·z - x - y = 24, therefore, 7·z - 39 - 21 = 24

7·z = 24 + 39 + 21 = 84

z = 84/7 = 12

The number of tractors initially at the third station, z = 12

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The value assigned to variable y in the given expression "x = 0; y = (x > 0) ? 10 : -10;" is -10.

In the given expression "x = 0; y = (x > 0) ? 10 : -10;", the variables x and y are being assigned values based on a conditional statement.

First, the value of x is assigned as 0.

The conditional statement (x > 0) checks whether the value of x is greater than 0. In this case, since x is equal to 0, the condition evaluates to false.

The ternary operator ? : is used to specify different values for y based on the outcome of the conditional statement. If the condition is true, the value assigned to y would be 10. On the other hand, if the condition is false, the value assigned to y would be -10.

In this case, since the condition (x > 0) is false, the value assigned to y is -10, as indicated after the colon :.

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Answer: X²+2x

Step-by-step explanation:

Use FOIL method

Solve:

 x(x+2)

☽------------❀-------------☾

Hi there!

~

What is \(x(x+2)\) expanded?

\(x(x+2)\) in expanded form is :

\(x^2 + 2x\)

Explanation :

Apply the distributive law: \(a( b + c ) = ab + ac\)

\(x(x+2) = xx + x \times 2\)

\(= xx + x \times 2\)

Then you simplify : \(xx + x \times 2 : x^2 + 2x\)

\(= x^2 + 2x\)

❀Hope this helped you!❀

☽------------❀-------------☾

The average time in hours from when a machine breaks until it is fixed is approximately 11.3 hours.

Given,

Benny's arcade has five video game machines

The average time between failures = 34 hours

The maintenance engineer can repair a machine in about = 13 hours

The failure time and repair times are both exponentially distributed

The formula for the mean of an exponential distribution is mean = 1/λ where λ is the rate parameter of the distribution.

In this problem, the rate parameter of both the failure time and repair time is the reciprocal of their respective averages. Therefore,

λ_f = 1/34λ_r = 1/13

Now, let's find the average time from when a machine breaks until it is fixed using the fact that the sum of two independent exponential distributions with rate parameters λ1 and λ2 is itself an exponential distribution with rate parameter λ1+λ2.

So, the rate parameter for the time from when a machine breaks until it is fixed is λ_f+λ_r = 1/34+1/13

= 0.0885 hours⁻¹ (approximately)

Hence, the average time from when a machine breaks until it is fixed is mean = 1/λ= 1/0.0885 ≈ 11.3 hours (approximately).

Therefore, the average time in hours from when a machine breaks until it is fixed is approximately 11.3 hours.

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The given sequence is defined by the recurrence relation xk+2 = 3xk+1 - 2xk for k ≥ 0. The initial conditions are x0 = 0 and x1 = 1. To compute x8, we need to find a general formula for xk in terms of the initial conditions.

To find a general formula for xk, we can use the method of solving linear homogeneous recurrence relations. We start by assuming a solution of the form xk = r^k, where r is an unknown constant. Substituting this into the recurrence relation, we get r^(k+2) = 3r^(k+1) - 2r^k. We can simplify this equation to r^2 - 3r + 2 = 0 by dividing both sides by r^k and rearranging the terms.

Solving this quadratic equation, we find two distinct roots: r1 = 1 and r2 = 2. This means that the general solution for xk is given by xk = c1 * 1^k + c2 * 2^k, where c1 and c2 are constants determined by the initial conditions. Using the initial conditions x0 = 0 and x1 = 1, we can substitute these values into the general solution. This gives us the equations c1 + c2 = 0 and c1 + 2c2 = 1.

Solving these equations, we find c1 = -1 and c2 = 1. Therefore, the general formula for xk in terms of the initial conditions is xk = -1 * 1^k + 1 * 2^k. Finally, substituting k = 8 into the general formula, we get x8 = -1 * 1^8 + 1 * 2^8 = -1 + 256 = 255. Thus, x8 is equal to 255 based on the given initial conditions and the general formula for xk.

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Answer: B: square root

Step-by-step explanation:

The graph of the function is a square root function

Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.

Identify the even and odd multiplicities of the polynomial functions' zeros.

Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.

The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities

Given data ,

Let the function be represented as A

Now , the value of A is

A = √( x + 2 ) + 3   be equation (1)

On simplifying , we get

There are no asymptotes for the function

And , the graph of the square root function is plotted

Hence , the function is square root

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Answer:

A

Step-by-step explanation:

dont know just trust me