Which number has a 9 that is one tenth the value of the 9 in 296?

195
409
981
1,956

The dimensions of the open top box with a square base are length of 5.03 feet, width of 5.03 feet, and height of 2.52 feet that will minimize the surface area.

It is given to us that -

There is an open top box with a square base

It will be made to hold 64 cubic feet

We have to find out the dimensions that will minimize the surface area.

The given information requires optimization analysis to be done. In the optimization analysis we usually have a function to optimize (maximize or minimize), referred to as the objective function, dependent on specific constraint equations.

In a two-variable problem, there are two variables in the objective function and constraints in the form of equations that satisfy both the variables.

We have to eliminate one variable by using constraints to express the variable in terms of the other ones. In this way, the objective function is significantly decreased to a function of one variable. The maximum or minimum values can be determined by calculus methods.

Let the dimensions of the square box be stated as base "x" and height "h".

So, the volume of the square box can be given by

\(V = x*x*h\\= > V = x^{2} h\)

It is given to us that the volume of the square box is 64 cubic feet. So, from the above equation, we have

\(x^{2} h=64\\= > h=\frac{64}{x^{2} }\) -------- (1)

The total surface area of an open top box with a square base can be represented as -

\(A=x^{2} +4xh\) ------- (2)

Substituting equation (1) in equation (2), we have

\(A=x^{2} +4xh\\= > A=x^{2} +4x(\frac{64}{x^{2} } )\\= > A=x^{2} +\frac{256}{x}\)------- (3)

To find out the minimum surface area, we have to take \(\frac{dA}{dx} =0\)

Using equation (3) in the above equation \(\frac{dA}{dx} =0\),

\(\frac{d}{dx}(x^{2} +\frac{256}{x} )=0\\ = > 2x-\frac{256}{x^{2} }=0\\ = > 2x=\frac{256}{x^{2} } \\= > x^{3}=128\\ = > x=5.03\)------ (4)

Substituting the value of x from equation (4) in equation (1), we have

\(h=\frac{64}{x^{2} }\\= > h=\frac{64}{(5.03)^{2} }\\= > h=2.52\)

Therefore, the dimensions of the open top box with a square base are length of 5.03 feet, width of 5.03 feet, and height of 2.52 feet that will minimize the surface area.

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Answer: x = 18 and y = 14
The difference is 4, and half of 18 is 9 and 9 + 14 is 23

Step-by-step explanation:

Keep the 2 numbers as 2 variables
x - y = 4

x + (y/2) = 23

We can use the substitution method here

x = 4 + y

4+y + (y/2) = 23

y = 14

x = 4 + y

x = 4 + 14

x = 18

We want to find equations for the different markups for the manufacturer and the stores that sell the crayons.

We know that a pack of 24 crayons costs $0.05 to make.

Is sold to stores for $0.25

The stores sell it for $0.50

Now we want to get the markup equation for the manufacturer, this is:

Markup = 100%*(price - cost)/(cost) = 100%*($0.25 - $0.05)/$0.05 =400%

For the store it is:

Markup = 100%*($0.50 - $0.25)/($0.25) = 100%

For the composition of these two I assume you refer to the total markup (notice that these are not functions, we can't make a composition if we do not have a variable).

Comp = 100%*($0.50 - $0.05)/($0.05) = 900%

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Answer:

I think the answer is B. C=4x

Step-by-step explanation:

I saw this on a answer key w an explanation so I hope u get it right! I'm doing the same test. Good luck bois

Answer:The original square was 10 x 10 inches

Step-by-step explanation:

Let L, W, and H stand for length, width, and height (in inches)

Volume = L*W*H

L*W*H = 128 in^3

H = 2 in

This is a square, so L = W

L*W*H = 128 in^3

W*W*(2in) = 128 in^3

W^2 = 64 in^2

W = 8 in

Add 2 in for the area that was used for the side.

The original square was 10 x 10 inches

Answer:its c

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

The answer is A because a reflection would be Reflected so its on the right side of the graph and the Z is facing the other way as if it were a literal reflection which it is.

Hope my awkward way of explaining this helps you on your test since i just passed mine and it said A was correct.

We define the variables:

• x = time spent texting (in hours),

• y_O = observed time spent exercising (in hours),

• y_P = predicted time spent exercising (in hours).

• r = residual (in hours) = y_O - y_P.

From the statement, we have the following equation for the line of best fit:

1) For x = 4.0 we have:

• y_O = 4.50 (from the table),

• y_P = 5.36 (by using the formula),

• r = 4.50 - 5.36 = 0.86.

2) For x = 5.0 we have:

• y_O = 6.50 (from the table),

• y_P = 4.96 (by using the formula),

• r = 6.50 - 4.96 = 1.54.

1) For x = 4.0 we have: y_O = 4.50, y_P = 5.36, r = -0.86

2) For x = 5.0 we have: y_O = 6.50, y_P = 4.96, r = 1.54

The temperature at 7pm is -4 degree Fahrenheit.

What is temperature?

Temperature is a measure of the degree of hotness or coldness of an object or substance. It is a physical quantity that expresses the amount of thermal energy present in a system, and is usually measured using a thermometer in units such as Celsius, Fahrenheit or Kelvin.

Starting with a temperature of 4 degree Fahrenheit at 3pm, the temperature falls by 2 degree Fahrenheit every hour for 4 hours. So, we can use the following formula to find the temperature at 7pm:

Temperature at 7pm = Starting temperature - (rate of decrease per hour x number of hours)

Using this formula, we get:

Temperature at 7pm = 4 - (2 x 4)

= 4 - 8

= -4

So, the temperature at 7pm is -4 degree Fahrenheit.

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Answer: x=10

This is the answer I got.

Lets draw a picture of our problem

then, we have a right triangle

we can relate such quantities by means of the tangent function, that is,

by moving 100 to the left hand side, we have

therefore, the answer is

that is,by rounding up, the height is 1467 feets

The given data sample contains all integers from 530 to 380 and all integers from 379 to 531. This means that the sample includes 152 integers in total. To find the mean of the sample, we need to add up all the numbers and divide by the total number of integers.

To do this, we can take the average of the two endpoints (530 and 380), which is 455. Then we can add the sum of the integers between 380 and 530, which is (530-381+1) + (530-379) = 150 + 151 = 301. Finally, we divide the total sum by the number of integers, which is 152, and get:

Mean = (455 + 301) / 152 = 3.980263158

Therefore, the mean of the given data sample is approximately 3.9803.

In summary, we can find the mean of a sample by adding up all the numbers and dividing by the total number of items. In this particular sample, we first found the average of the two endpoints and then added the sum of all the integers between them to find the total sum. Finally, we divided the total sum by the number of integers to find the mean of the sample.

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The height of the rectangular solid must be less than 12.15 dm.

Length of the solid = 12 dm

Width of the solid = 5dm

Height of the solid = H

Volume of the cube will be:

= 9dm × 9dm × 9dm

= 729 dm³

Therefore, to calculate the height of the solid goes thus;

Height = 729 / (12 × 5)

Height = 729/60

Height = 12.15

Therefore, since the volume has to be smaller than the volume of a cube with a side of 9 dm, then the height will be less than 12.15 dm.

In conclusion, the height is less than 12.15 dm.

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Answer:

30 and 40

Step-by-step explanation:

30 and 40

Answer:

p^15

Step-by-step explanation:

Answer:

i can explain it to you.

Step-by-step explanation:

SO first you're going to label the graph with the munbers. If you don't know how they go just search one up because they all look the same.

Then you're going to place them on the coordinates that they correspond to. (x,y)

Then for the rotation you're going to move it 90* clockwise which would be right but in the shape of a circle. But you have to connect the dots.

Basically you're just laying it down on its side to the right.

Hope this helps. :)

Answer:

The total number of nails in Susan's box is 660 nails

Step-by-step explanation:

The given parameters are;

The number of small nails in John's box = 65

The number of medium nails in John's box = 40

The number of large nails in John's box = 45

The number of medium nails in Susan's box = 176

The ratio of the nails in John's box  is given as follows;

The ratio of small nails in John's box = 65/(65 + 40 + 45) = 13/30

The ratio of medium nails in John's box = 40/(65 + 40 + 45) = 4/15 = 8/30

The ratio of large nails  in John's box = 45/(65 + 40 + 45) = 3/10 = 9/30

Given that the proportion of the nails in John's box and Susan's box are the same, we have;

The ratio of medium nails in Susan's box =  8/30

Therefore;

Where the total number of nails in Susan's box = X, we have;

8/30 × X = 176

X = 176 × 30/8 = 660 nails

The total number of nails in Susan's box = 660 nails.

Using proportions, it is found that the total number of nails in Susan's box was 660.

---------------

---------------

Since the proportions are equal:

\(\frac{40}{150} = \frac{176}{x}\)

\(40x = 150\times176\)

\(x = \frac{150\times176}{40}\)

\(x = 660\)

The total number of nails in Susan's box was 660.

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this is not the write answer im just it bec whevener but i think it is 13=845-684x3 i think it is the answer

Step-by-step explanation:

The correlation coefficient ρ for X and Y is ρ = -0.6675 in the given function.

The correlation coefficient is a statistical concept that aids in establishing a relationship between expected and actual values obtained through statistical experimentation. The calculated correlation coefficient's value explains why the difference between the predicted and actual values is so exact.

Correlation Coefficient value is always in the range of -1 to +1. A similar and identical relationship exists between the two variables if the correlation coefficient value is positive. Otherwise, it reveals how differently the two variables behave.

Pearson's correlation coefficient is calculated by taking the covariance of two variables and dividing it by the sum of their standard deviations. is typically used to represent it (rho).

The correlation coefficient is computed as,

\($ \rho & =\frac{{Cov}(X, Y)}{\sqrt{V(X)} \times \sqrt{V(Y)}}\)

\($=\frac{-0.0267}{\sqrt{0.04} \times \sqrt{0.04}}\)

= -0.6675

Thus, the correlation coefficient ρ for X and Y is ρ = -0.6675.

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Answer: 0.045%

Step-by-step explanation:

Answer: 65

Step-by-step explanation: In this problem, we're given that the height of a trapezoid is 10 and the bases has lengths of 9 and 24 and we're asked to find the area of the trapezoid. Since we're given the lengths of the bases, let's use our formula for the area of a trapezoid which involves the bases.

Area of a trapezoid is shown at the bottom your screen.

Now plug the information into the formula.

Simplify inside parentheses first.

Then multiply 1/2 by 10 to get 5.

Then you have (5)(13) which is 65.

So the area of the trapezoid is 65.

Total 20 number cases should the manager order each month to server an average of 240 vashes of flowers.

Manager of a flower shop determines that an average of 240 vases of flowers is sold each month.

3 cases contain 36 vases.

so 1 case will contain 36/3 vases.

1 case will contain  = 12 vases.

How many cases of vases should the manager order each month.

Given is that 240 vashes of flowers each month is sold.

according to 12 vashes per case we need 20  cases to cover 240 vashes of flowers each month.

12* 20  = 240.

We need 20 cases here.

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The probability of first rolling a 1, then a 5, will be \(\frac{1}{36}\).

To find the probability of getting a 1 the first time and a 5 the second time:

Probability of getting 1 in 1st time = \(\frac{1}{6}\)

Probability of getting 5 in 2nd time = \(\frac{1}{6}\)

The probability of first rolling a 1, then a 5, will be = \(\frac{1}{6}\) × \(\frac{1}{6}\)

\(= \frac{1}{36}\)

Therefore, the probability of first rolling a 1, then a 5, will be \(\frac{1}{36}\).

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Answer:

(-4,3)

Step-by-step explanation:

I got it correct :)

The point is A ( -4 , 3 ) for the equation of line y - 3 = 2 ( x + 4 ) with slope 2

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

The equation of the line is y - 3 = 2 ( x + 4 )

The slope m = 2

Let the point be = A ( x₁ , y₁ )

The point A can be calculated from the equation of line

From the formula for equation of line , we can substitute the values and find the point A

So ,

Equation of line is y - y₁ = m ( x - x₁ )

Substituting the value of x₁ , y₁ and m in the equation , we get

y - 3 = 2 ( x - ( -4 ) 0

So , y₁ = 3

x₁ = -4

Therefore , the point A ( x₁ , y₁ ) = A ( -4 , 3 )

Hence , the point A is ( -4 , 3 )

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Pythagoras was an ancient Greek mathematician who founded the Pythagorean school of thought. The Pythagorean theorem is a fundamental concept in mathematics that is attributed to Pythagoras and his followers.

It states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. While this theorem is considered a cornerstone of mathematics today, it is important to understand that Pythagoras did not have access to the advanced mathematical tools and methods that we have today.

He had to rely on geometric constructions and reasoning to prove his theorem. Furthermore, Pythagoras believed that all numbers could be expressed as ratios of whole numbers, which is not always true in reality. Despite these limitations, the Pythagorean theorem has stood the test of time and continues to be a crucial tool in mathematics and other fields.

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Answer:

4784.

Step-by-step explanation:

8 * 598 = 8(600- _2_)

=

8 (600) - 8(_2_)

= 4800 - _16_

= 4784__

Answer:

45% is greater than 5/13

Step-by-step explanation:

i hope this helps :)

Answer:

45% is greater.

Step-by-step explanation:

45% is greater because 5/13 as a percentage is roughly 38 percent which is smaller than 45%.