The volume of a cube that is 1cm will be?3cm1cm1000cm^31cm

I would use T-Shirts as sweatshirts make you no profit. 20 hours = 1200 / 10 (cuz it takes 10 min) = 120.

So you can make 120 shirts. 120 x4(for the cost of supplies) =$ 480.

you would make profit of 120 x 6 = 720.

720 - 480 = 240.

You would make $240 profit of making 120 shirts

Answer:

12(7 - 3)

Step-by-step explanation:

All the other do not equal anything.

Answer:

First = 100

Second = 1

Step-by-step explanation:

There are 8 - 100's in 800

There is 1 - 8 in 8

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

A. 1/6

B. 1

Step-by-step explanation:

A. 9/j x j/54= 9/54 = 1/6

B. 6k/8m : 3k/4m = 6k/8m : 4m / 3k = 2/2 =1

Answer:

a. 3/2

b. 1

Step-by-step explanation:

A. To simplify the expression, we can cancel out the common factor of j:

9/j * j/54 = (9/1 * 1/6) = 3/2

Therefore, 9/j * j/54 simplifies to 3/2.

B. To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction. That is,

(a/b) ÷ (c/d) = (a/b) x (d/c)

Using this rule, we can simplify the given expression as follows:

6k/8m ÷ 3k/4m = (6k/8m) x (4m/3k)

             = (6/8) x (4/3)  

             = 2/2

             = 1

Answer:

4/6=0.67  1/3=0.3

Step-by-step explanation:

Answer:divideing by the whole number

Step-by-step explanation:

The theoretical capacity of the roller coaster system  in number of passengers per hour at Treasure Island Amusement Park is 170 passengers per hour, based on 17 cars that carry two passengers each, with a run time of 5.5 minutes and load/unload time of 6.5 minutes.

The theoretical capacity of the roller coaster system in number of passengers per hour can be calculated as follows:

There are 17 cars, and each car can carry up to two passengers. So, the total number of passengers per run is 17 x 2 = 34.

Each run takes 5.5 minutes, and the time to unload and load riders is 6.5 minutes, for a total cycle time of 5.5 + 6.5 = 12 minutes.

To calculate the theoretical capacity in passengers per hour, we need to convert the cycle time to hours and then divide by the cycle time. There are 60 minutes in an hour, so the cycle time in hours is 12 / 60 = 0.2 hours.

The theoretical capacity in passengers per hour is then calculated as:

Capacity = (Number of passengers per run) x (Number of runs per hour)

To find the number of runs per hour, we need to divide the total available time per hour (60 minutes) by the cycle time:

Number of runs per hour = 60 / 12 = 5 runs per hour

Now we can calculate the theoretical capacity as:

Capacity = 34 x 5 = 170 passengers per hour

Rounding this down to the nearest whole number, we get the final answer:

The theoretical capacity of the roller coaster system in number of passengers per hour is 170.

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Answer:

yes

Step-by-step explanation:

Answer:

-2/9

Step-by-step explanation:

The degrees of freedom for a chi-square goodness-of-fit test are calculated as the number of categories minus 1.

Suppose we wish to determine if an ordinary-looking six-sided die is fair, or balanced, meaning that each face has a probability of 1/6

of arrival on top when the die is tossed. We could toss the die dozens, maybe hundreds, of times and compare the actual number of times each face arrival on top to the scheduled number, which would be 1/6

of the total number of tosses. We would not expect each number to be exactly 1/6 of the total, but it should be close.

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Answer:

\(\bold{ 9x = (x+35)\times 5 }\)

Step-by-step explanation:

Jim completed half of the floor in 9 hours.

Let the rate of Jim = \(x\) tiles/hr

So, number of tiles that Jim lays in 9 hours = Rate of Jim multiplied by number of hours i.e. \(9 \times x\) ..... (1)

Let \(y\) tiles/hr be the rate at which Pete lays the tiles.

As per the given question, Pete can lay 35 more tiles per hour than Jim.

i.e. \(\bold{ y =x+35}\)

It is given that half of the floor is done by Jim and other half by Pete.

So, we can say that number of tiles for both of them are equal.

Number of tiles by Pete = Rate of Pete \(\times\) Number of hours = \((x+35) \times 5\)...(2)

Now, we can equate the equations (1) and (2) because the number of tiles are same.

i.e.

The equation that we can use is:

\(\bold{ 9x = (x+35)\times 5 }\)

Kerys should substitute the values of k from 0 to 4 (inclusive) in the binomial theorem expression to expand the binomial (2x + y)⁴.

The binomial theorem states the principle for expanding the algebraic expression (x + y)ⁿ and describes it as the total of the phrases involving the unique exponents of the x and y variables. Each word in a binomial expansion has a coefficient, which is a numerical value.

The binomial theorem states that the expansion of the binomial \({(a + b)}^{n}\) is given by the formula:

\(\displaystyle\sum_{k = 0}^{n}{\begin{pmatrix} n \ k \ \end{pmatrix}a^{n - k}b^{k}}\)

The variable n represents the power to which the binomial is raised, in this case n = 4.

The variable k is the exponent of the second term in the binomial (b), in this case y.

So, with k = 0, the term will be aⁿ = (2x)⁴, with k = 1, the term will be

\(a^{(n-1)} b = (2x)^3 y\), and so on.

Therefore, he should substitute the values of k from 0 to 4 (inclusive) in the binomial theorem expression to expand the binomial (2x + y)⁴.

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The maximum possible order for an element of S₅ is 60.

To find the maximum possible order for an element of S₅, we need to consider all possible disjoint cycles and calculate their least common multiple (LCM).

In S₅, the possible cycle lengths are 1, 2, 3, 4, and 5.

For a cycle of length 1, the element remains fixed and has an order of 1.

For a cycle of length 2, the element repeats itself every 2 steps and has an order of 2.

For a cycle of length 3, the element repeats itself every 3 steps and has an order of 3.

For a cycle of length 4, the element repeats itself every 4 steps and has an order of 4.

For a cycle of length 5, the element repeats itself every 5 steps and has an order of 5.

Now we need to calculate the LCM of these orders: 1, 2, 3, 4, 5.

The LCM of 1, 2, 3, 4, and 5 is 60.

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Answer: √7 feet

Step-by-step explanation:

Hypotenuse(h)=4ft

Base(b)=3ft

Now,Using pyhagoras theorem,

h²=p²+b²

4²=p²+3²

16-9=p²

p=√7feet

Hence, the remaining side is √7feet

The solution to the given differential equation with the initial condition \( y(0) = \frac{\sqrt{2}}{2} \) is:\[ \arcsin(x) = \frac{\pi}{4} + C \]

The given differential equation is:

\[ \sqrt{1-y^{2}} dx - \sqrt{1-x^{2}} dy = 0 \]

To solve this differential equation, we'll separate the variables and integrate.

Let's rewrite the equation as:

\[ \frac{dx}{\sqrt{1-x^2}} = \frac{dy}{\sqrt{1-y^2}} \]

Now, we'll integrate both sides:

\[ \int \frac{dx}{\sqrt{1-x^2}} = \int \frac{dy}{\sqrt{1-y^2}} \]

For the left-hand side integral, we can recognize it as the integral of the standard trigonometric function:

\[ \int \frac{dx}{\sqrt{1-x^2}} = \arcsin(x) + C_1 \]

Similarly, for the right-hand side integral:

\[ \int \frac{dy}{\sqrt{1-y^2}} = \arcsin(y) + C_2 \]

Where \( C_1 \) and \( C_2 \) are constants of integration.

Applying the initial condition \( y(0) = \frac{\sqrt{2}}{2} \), we can find the value of \( C_2 \):

\[ \arcsin\left(\frac{\sqrt{2}}{2}\right) + C_2 = \frac{\pi}{4} + C_2 \]

Now, equating the integrals:

\[ \arcsin(x) + C_1 = \arcsin(y) + C_2 \]

Substituting the value of \( C_2 \):

\[ \arcsin(x) + C_1 = \frac{\pi}{4} + C_2 \]

We can simplify this to:

\[ \arcsin(x) = \frac{\pi}{4} + C \]

Where \( C = C_1 - C_2 \) is a constant.

Therefore, the solution to the given differential equation with the initial condition \( y(0) = \frac{\sqrt{2}}{2} \) is:

\[ \arcsin(x) = \frac{\pi}{4} + C \]

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Answer:

m         =   cd³

Step-by-step explanation:

mass of        is proportional to          the diam

sphere                                                 cubed

Symbolically, this can be written as:

  m         =   cd³

Answer:

8

Step-by-step explanation:

Substitute 3 for x

-2x + 14

-2(3) + 14

-6 + 14 = 8

Answer:

f(3) = 8

Step-by-step explanation:

f(x) = -2x + 14

f(3) = -2(3) + 14

f(3) = -6 + 14

f(3) = 8

Answer:

119 is the value of x when y = 7

Step-by-step explanation:

Since y varies inversely with x, we can use the following equation to model this:

y = k/x, where

Step 1:  Find k by plugging in values:

Before we can find the value of x when y = k, we'll first need to find k, the constant of proportionality.  We can find k by plugging in 49 for y and 17 for x:

Plugging in the values in the inverse variation equation gives us:

49 = k/17

Solve for k by multiplying both sides by 17:

(49 = k / 17) * 17

833 = k

Thus, the constant of proportionality (k) is 833.

Step 2:  Find x when y = k by plugging in 7 for y and 833 for k in the inverse variation equation:

Plugging in the values in the inverse variation gives us:

7 = 833/x

Multiplying both sides by x gives us:

(7 = 833/x) * x

7x = 833

Dividing both sides by 7 gives us:

(7x = 833) / 7

x = 119

Thus, 119 is the value of x when y = 7.

how much is in the spice mix? context is necessary

12 Cups of sugar will Quinn need to make 16 pies.

In the given question,

Quinn is baking sweet potato pies.

The table shows the ratio of cups of sugar to number of pies.

Number of Pies = 3                          5                            9

Cups of Sugar   = 1 and one half     2 and one half      4 and one half

We have to find the cups of sugar Quinn will need to make 16 pies.

From the given table we know that,

To make 3 sweet potato pies Quinn needed 1 and one half of cup. We can write it as

3 sweet potato pies = 1 1/2 Cups of sugar..................Equation 1

To make 5 sweet potato pies Quinn needed 2 and one half of cup. We can write it as

5 sweet potato pies = 2 1/2 Cups of sugar..................Equation 2

To make 9 sweet potato pies Quinn needed 4 and one half of cup. We can write it as

9 sweet potato pies = 4 1/2 Cups of sugar..................Equation 3

Since we have to find the cup of sugar needs for making 16 pies.

So as given we can see that when we add Equation 1 and 2.

We get

3 sweet potato pies + 5 sweet potato pies = 1 1/2 Cups of sugar + 4 1/2 Cups of sugar

(3+5) sweet potato pies = (1 1/2 + 4 1/2) Cups of sugar

Firstly we simplify the mixed fraction in fraction

We can convert 1 1/2 in fraction by multiplying 1 by 2 then add the result of multiplication of 1 and 2 by 1.

So we get 1 1/2 = 3/2

Now we convert 4 1/2 is in fraction. We can convert 4 1/2 in fraction by multiplying 4 by 2 then add the result of multiplication of 4 and 2 by 1.

So we get 4 1/2 = 9/2.

So 8 sweet potato pies = (3/2 + 9/2) Cups of sugar

8 sweet potato pies = (3+9)/2 Cups of sugar

8 sweet potato pies = 12/2 Cups of sugar

8 sweet potato pies = 6 Cups of sugar...................Equation 4

Multiply Equation 4 by 2

8×2 sweet potato pies = 6×2 Cups of sugar

16 sweet potato pies = 12 Cups of sugar

Hence, 12 Cups of sugar will Quinn need to make 16 pies.

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The range of the function g(x) is given as follows:

[0, ∞).

From the graph of the function given in this problem, y assumes all real non-negative values, hence the interval notation representing the range of the function is given as follows:

[0, ∞).

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Answer:

Quadrant 1

Step-by-step explanation:

Quadrant 1 has positive x and y.

The arithmetic expressions are solved and answered below -

5 - 9 = - 4

8 - 8 = 0

- 1 + 12 = 11

- 12 + 12 = 0

- 2 + 4 + 3 = 5

- 4 + 3 + 2 - 1 = - 2 + 2 = 0

In mathematics, an expression or mathematical expression is a combination of terms both variables and constants. For example -

2x + 4y + 5z

4y + 2x

Given are the expressions as given in the questions.

{a} -

5 - 9 = - 4

{b} -

8 - 8 = 0

{c} -

- 1 + 12 = 11

{d} -

- 12 + 12 = 0

{e} -

- 2 + 4 + 3

5

{f} -

- 4 + 3 + 2 - 1 = - 2 + 2 = 0

Therefore, the arithmetic expressions are solved and answered below -

5 - 9 = - 4

8 - 8 = 0

- 1 + 12 = 11

- 12 + 12 = 0

- 2 + 4 + 3 = 5

- 4 + 3 + 2 - 1 = - 2 + 2 = 0

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{Complete question -

Calculate the following:

a) 5-9

b) 8-8

c) -1 + 12

d) -12 + 12

e) -2 +4+3

f) -4-3+2-1}

By the concept of permutation and combinations there are 7,484,400 ways are there to distribute 12 distinguishable objects into six distinguishable boxes so that two objects are placed in each box.

Putting things or numbers in order is known as a permutation. Combinations are a means to choose items or numbers from a collection of items or groups of items without regard to their order.

The number of ways to sort identifiable things into indistinguishable bins is 11 or "double-factorial," which is defined as 11 (as shown). Given that the bins are distinct, that is multiplied by 6! Following are several explanations for the 11!!11!! There are 11 potential companions for the chosen "first" object. Following that decision, there will be 10 items left, which indicates that the next arbitrary object will have 9 companions. then do it again. A more traditional strategy would be this. The objects that fit in the first container have 122 possibilities, the second bin has 102 possibilities, and so on.

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To answer this, we will find the equation of the line that passes through point C and D and check which option is in the same line, this will be the answer.

First, let's find the slope using th coordinates of the points C and D:

Now, we can use point C, for example, to right in the slope-point form:

With this equation, we can input values of x and check is we get the same y.

Alternative A and C have x = 0, so let's check it:

I got y = 3, neither alternative have y = 3, so it isn't A nor C.

B and D have x = 1, let's check it:

We got y = 4, which matches alternative D.

So, the correct alternative is D.

Answer:

3x+4y-24=0.

Step-by-step explanation:

if the common form of the required equation is

\(\frac{x}{a} +\frac{y}{b} =1, \ where \ a;b \ are \ x-intercept;y-intercept,\)

then the required equation is:

\(\frac{x}{8} +\frac{y}{6} =1\)

or 3x+4y-24=0.

No solution: 1/2y + 3.2 = 20, 15/2 + 2z -1/4 = 4z + 29/4 - 2z, 1.1 + 3/2x + 2 = 3.1 + 3/4x, and 4.5r = 3.2 + 4.5r. One solution: 2x + 4 = 3x + 1/2

The complete question is attached below.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

If the value of the variable is zero, then the no solution.

If the value of the variable is one, then the one solution.

If the value of the variable is infinity, then the infinite many solutions.

No solution: 1/2y + 3.2 = 20, 15/2 + 2z -1/4 = 4z + 29/4 - 2z, 1.1 + 3/2x + 2 = 3.1 + 3/4x, and 4.5r = 3.2 + 4.5r.

One solution: 2x + 4 = 3x + 1/2

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Answer:  We can use the concept of rates to solve this problem.

A rate is a ratio of the amount of work done to the amount of time it takes to do the work. We can find the rate of work for the 4 painters by dividing the number of rooms they painted by the number of hours it took them:

Rate = Rooms painted / Hours

Rate = 12 rooms / 8 hours = 1.5 rooms per hour

Now we can use this rate to find out how long it will take 7 painters to paint 21 rooms. To do this, we'll use the formula:

Time = Rooms / Rate

Time = 21 rooms / 1.5 rooms per hour = 14 hours

So it would take 7 painters working at the same efficiency as the 4 painters 14 hours to paint 21 rooms.

Step-by-step explanation:

For a sample of hospitals related to shorten the average length of stay (LOS) of their patients,

A) The 90% confidence interval to estimate the population mean LOS are 3.3362 and 4.2638.

B) The Interpreted interval in terms of this application is equals to (3.3362,4.2638).

C) The meaning of phrase "90% confidence interval" is number that fall within the upper as well as lower boundaries of distribution.

We have a health insurers and federal government ordered to hospitals regarding to short or decrease the average length of stay of their patients.

population Mean of LOS = 4.5 days

Sample size of hospitals, n = 20

Sample mean, \( \bar x\) = 3.8days

Standard deviations, \( \sigma\)

= 1.2 days

A) The population estimate mean LOS for the state's hospitals at 90% confidence interval,

The degrees of freedom, df = 20 -1

= 19

90% confidence interval then the confidence interval is 0.90. So, 1 −∝

= 0.90

=> ∝ = 0.1

=> ∝/2= 0.05

The critical t value for confidence 0.05 and degree of freedom 19 is equals 1.72.

Using the confidence interval formula,

\( \bar x ± t_{(0.05, 19)} \frac{\sigma}{\sqrt{n}}\)

\( 3.8 ± 1.729\frac{1.2}{\sqrt{20}}\)

= (3.3362,4.2638)

So, required values are 3.3362 and 4.2638.

(b) In terms of this application, the interval, 90 percent confident that the populations mean length of remain (LOS) for the state’s hospitals(μ) lies among 3.3362 and 4.2638.

c) The term 90% confidence interval expresses a number that will fall within the upper as well as lower boundaries of a probability distribution.

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