A box shaped as a rectangular prism can hold 176 wooden cubes with edge lengths of 1/2 ft. What is the volume of the box?

Answer:

6.43 × 10^-4 or 0.000643

Step-by-step explanation:

0.00067 - 2.3 × 10^-5 = 6.7 × 10^-4 - 2.5 × 10^5

6.7 × 10^-4 = 67 × 10^-5

67 × 10^-5 - 2.3 × 10^-5 = 64.3 × 10^-5 = 6.43 × 10^-4

The factor listed below that is a possible cause for unfavorable materials quantity variances is A. Using higher quality, but more costly materials than budgeted.

Unfavorable materials quantity variances occur when the actual amount of materials used exceeds the budgeted or standard quantity. Using higher quality materials that are more costly than what was initially budgeted can contribute to such unfavorable variances.

By opting for higher quality materials, the cost per unit may increase, leading to higher material costs compared to the budgeted amount. If the quantity of these higher quality materials used exceeds the expected or standard quantity, it can result in unfavorable materials quantity variances. These variances occur due to the increased costs associated with using more expensive materials and potentially higher scrap or waste rates.

It is important for organizations to monitor and control their material usage to minimize unfavorable variances and ensure efficient utilization of resources while meeting quality standards.

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A statistical tool used to synthesize the results of previous, separate studies is called a(n):Odds-ratio.

We know that, the odds ratio is one that is often calculated with the use of the number of case-patients who were or were  not exposed to a factor (e.g. as a particular cream) and the number of controls that did or did not have the exposure.

Odds ratio is nothing but  is a measure of association between exposure and an outcome.

It calculates the relationship between a variables and the likelihood of an event occurring.

Note that there are different kinds of statistical tool  that are used for research purpose.

Therefore, A statistical tool used to synthesize the results of previous, separate studies is called a(n):Odds-ratio.

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Answer:

8m + 5/m -10 m^2

Step-by-step explanation:

24m^4 / 3m^3 = 8m

15m^2 / 3m^3 = 5/m

- 30m^5 / 3m^3 = -10m^2

Putting these back together

8m + 5/m -10 m^2

The Total cost for a tour group consisting of n number of people is 20n

An equation is an expression that shows the relationship between two or more numbers and variables.

Let T represent the total cost if a tour group consisting of n people

Since A walking tour of Washington, D.C., costs $20 per person. Hence, for n number of people:

Total cost = $20 per person * n persons = 20n

The Total cost for a tour group consisting of n number of people is 20n

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Answer:

What is the question please post the full question next time

Hence, the value of `∂z/∂s` is `120` when `r=5` and `s=0`.

Given that, `z = x²y² - 2x + 2y, x = r / (1+s), y = e^(rs)`To find `∂z/∂s`, we differentiate `z` with respect to `s`.

Therefore, `∂z/∂s = 2xy² + 2yx² + 2re^rs + 2xyr(2-e^rs)`

Substituting the given values in the above equation,

`x = r/(1+s),

y = e^(rs)`

Then, `∂z/∂s = 2(r/(1+s))(e^rs)² + 2(e^rs)(r/(1+s))² + 2r(e^rs) + 2(r/(1+s))(e^rs)r(2 - e^rs)`

Given that, `r = 5` and `s = 0

`Substituting the values, we get`∂z/∂s = 2(5/1)(e^0)² + 2(e^0)(5/1)² + 2(5)(e^0) + 2(5/1)(e^0)(5)(2-e^0)`

Simplifying the above equation,

`∂z/∂s = 2(25) + 2(25) + 10 + 2(25)(2-1)`

Therefore,`∂z/∂s = 120`

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Kirt has saved his heart approximately 7,358,400 beats per year by decreasing his resting heart rate.

The number of beats Kirt has saved his heart per year, we need to calculate the difference in beats per minute (bpm) and then convert it to beats per year.

The decrease in Kirt's resting heart rate is 14 bpm (76 bpm - 62 bpm).

The number of beats saved per year, we need to know the duration of a year in minutes. Assuming a year consists of 365 days:

1 year = 365 days

1 day = 24 hours

1 hour = 60 minutes

Therefore, the duration of a year in minutes would be

365 days × 24 hours × 60 minutes = 525,600 minutes.

The beats saved per year, we multiply the bpm decrease by the duration of a year

Beats saved per year = bpm decrease × duration of a year

Beats saved per year = 14 bpm × 525,600 minutes

Beats saved per year = 7,358,400 beats

Therefore, Kirt has saved his heart approximately 7,358,400 beats per year by decreasing his resting heart rate.

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Answer: B. 3 1/2

Step-by-step explanation:

Hope this helps

Answer:

108 minutes

Step-by-step explanation:

Take 24 and divide by 4; you get 6;

Multiply 18 by 6; you get 108;

It will take Brade 108 minutes to run 18 miles

Answer:

y= 2/3x + 2

Step-by-step explanation:

I used desmos to find it, guesstimated a number and it worked <3

Answer:

m= -1/2

Step-by-step explanation:

Answer:

5 batches

Step-by-step explanation:

15/4 divided by 3/4= ^^^

The answer is (B) 1, which is not a solution to the problem.

We can start by finding the velocity function of the particle by integrating the acceleration function a(t):

\(v(t) = ∫ a(t) dt = ∫ (2t - 7) dt = t^2 - 7t + C\)

We know that the initial velocity of the particle is 6, so we can use this information to find the value of the constant C:

\(v(0) = 0^2 - 7(0) + C = 6\)

\(C = 6\)

Therefore, the velocity function of the particle is:

\(v(t) = t^2 - 7t + 6\)

To find the position function of the particle, we integrate the velocity function:

\(s(t) = ∫ v(t) dt = ∫ (t^2 - 7t + 6) dt = (1/3)t^3 - (7/2)t^2 + 6t + D\)

We don't know the value of the constant D yet, but we can use the fact that the particle starts at position 0\((i.e., s(0) = 0)\) to find it:

\(s(0) = (1/3)(0)^3 - (7/2)(0)^2 + 6(0) + D = 0\)

\(D = 0\)

Therefore, the position function of the particle is:

\(s(t) = (1/3)t^3 - (7/2)t^2 + 6t\)

To find the time when the particle is farthest to the right, we need to find the maximum of the position function. We can do this by finding the critical points of the function and using the second derivative test to determine whether they correspond to a maximum or minimum.

The derivative of the position function is:

\(s'(t) = t^2 - 7t + 6\)

Setting this derivative equal to zero and solving for t, we get:

\(t^2 - 7t + 6 = 0\)

Using the quadratic formula, we get:

\(t = (7 ± sqrt(49 - 4(1)(6))) / 2\)

\(t = (7 ± sqrt(37)) / 2\)

We can verify that both of these critical points correspond to a minimum by using the second derivative test:

\(s''(t) = 2t - 7\)

At t = (7 + sqrt(37)) / 2, we have:

\(s''((7 + sqrt(37)) / 2) = 2(7 + sqrt(37)) / 2 - 7 = sqrt(37) - 5 > 0\)

Therefore, the critical point \(t = (7 + sqrt(37)) / 2\) corresponds to a minimum of the position function.

\(At t = (7 - sqrt(37)) / 2\), we have:

\(s''((7 - sqrt(37)) / 2) = 2(7 - sqrt(37)) / 2 - 7 = -sqrt(37) - 5 < 0\)

Therefore, the critical point \(t = (7 - sqrt(37)) / 2\) corresponds to a maximum of the position function.

Therefore, the particle is farthest to the right \(at t = (7 - sqrt(37)) / 2\), which is approximately 0.28. The answer is (B) 1, which is not a solution to the problem.

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ok

Volume of the tank = 50 x 42 x 50

= 105000 cm^2

Volume of 2/3 of the tank = 2/3 x 105000

= 70000 cm^3

Volume of 3/4 of the tank = 3/4 x 105000

= 78750 cm^3

a) Capacity of the tank = 105000 cm^3

b) Volume of the stone = 78750 - 70000

= 8750 cm^3

Answer:

1. Positive correlation

2. Strong positive correlation.

3. The categories are strongly related since students who slept 7 hours and above all got over 80% on the test and students who slept for less than 7 hours got less than 80% on the test.

Step-by-step explanation:

If question 2 is incorrect or doesn't seem right to you, I believe this is the formula which you need to use.

Answer:

20

Step-by-step explanation:

3 × 5 is 15

4 × 5 is 20

So...should be 20.

They have 4 sides

that's what they all have in common

let me know if you need something more specific

Answer:

12

Step-by-step explanation:

15 multiplied by 20% is 3

Subtract 3 from 15 and you get 12

Answer:

i think its very interesting and pretty cool,  because there is so much to learn  and so much to explore

i wouldn't like the fact that you have to study so much though

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here 8 and 10 are the like terms (both are constants)

-3k -(-8) + 2 = -3k + 8 +2

                    = -3k + 10

Answer:

y = -2x - 15

Step-by-step explanation:

We are given 2 pieces of information: (1) a point our line passes through, and (2) a line it is perpendicular to. The only thing we need from (2) is the slope.

We know that perpendicular lines have opposite signs and are inverses (denominator and numerator switched). So our line must have a slope of

m = -2

Using our equation for a line: y = mx+b, our line so far is

(I) y = -2x + b

Let's use the point we have (-9,3) and substitute what we know into equation (I) to find b.

x = -9

y = 3

(I) (3) = -2(-9) + b

3 = 18+b

b= -15

Now we have m and b so we can write the equation of our line:

y = -2x - 15

The basis of U is  {v1, v2}.  {v1, v2, v3, v4, v5} is a basis of R5 by verifying that these vectors are linearly independent and span R5. A basis of \(U^\perp\) is {w1, w2}, where w1 = (-3,1,0,0,0) and w2 = (0,0,-7,1,0)

(a) To find a basis of U, we need to find linearly independent vectors that span U. We can start by setting x2 = 1 and x4 = 1 and solving for the other variables. This gives us two vectors in U:

v1 = (3,1,7,0,0)

v2 = (0,0,0,1,0)

We can check that these vectors are linearly independent by setting \(a1v1 + a2v2 = 0\) and solving for a1 and a2. This gives us a1 = a2 = 0, so the vectors are linearly independent. Therefore, {v1, v2} is a basis of U.

(b) To extend the basis {v1, v2} of U to a basis of R5, we need to find three more linearly independent vectors that are not in U. We can choose:

v3 = (1,0,0,0,0)

v4 = (0,1,0,0,0)

v5 = (0,0,1,0,0)

We can check that {v1, v2, v3, v4, v5} is a basis of R5 by verifying that these vectors are linearly independent and span R5.

(c) To find a subspace W of R5 such that R5 = U direct sum W, we can choose W to be the orthogonal complement of U. We can find a basis of W by finding a basis of \(U^\perp\), where

\(U^\perp = {(x1,x2,x3,x4,x5)\) belongs to R5: x1 = -3x2, x3 = -7x4

A basis of \(U^\perp\) is {w1, w2}, where

w1 = (-3,1,0,0,0)

w2 = (0,0,-7,1,0)

We can verify that U and W are orthogonal complements by checking that any vector in R5 can be written as a unique sum of a vector in U and a vector in W, and that U and W are orthogonal (i.e., the dot product of any vector in U with any vector in W is zero).

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Answer:

X is equal to 1.2

Step-by-step explanation:

6/5 equals 1.2

i don't have to sound rude but can i have brainliest please i need 4 more :')

Answer:

11/20

Step-by-step explanation:

3/4 - 1/5

= 15/20 - 4/20

= 11/20

So, the answer is 11/20