show that f= 16 is
R
equivalent to
fpm = 12
RPM in fluid flow through porous media

Answer:

108

You rounded to the nearest tens place.

The 0 in the tens place rounds up to 1

Step-by-step explanation: because the digit to the right in the ones place is 8.

110

When the digit to the right is 5 or greater we round away from 0.

108 was rounded up and away from zero to 110

Answer:

120

Step-by-step explanation:

25% is equal to 1/4. If you divide 30 by 1/4 you get 120. To check this, if you multiply 120 by 1/4 you get 30.

Answer: 120

Step-by-step explanation:

In order to find the missing value, divide the provided value by the percentage as follows:

30 / 0.25 = 120

This can be double-checked by plugging the number into the statement afterwards: 25% of 120 is 30, which is true

Answer:

h=.34

Step-by-step explanation:

1/2(bh)=A

1/2(5.5*h)=8.9375

5.5h=1.875

h=.34

Answer:

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

Given a rectangle with dimensions of:

Use area equation and find the value of x:

The second root is ignored as being negative.

The dimensions of the rectangle are:

Answer:

To write 1/4 (x - 12) in words, you would say "one-fourth of the quantity obtained by subtracting 12 from x."

The measure of the side length x is 15.04.

The figure in the image is a right triangle.

Angle θ = 43 degrees

Adjacent to angle θ = 11

Hypotenuse = x

To determine the measure of the side length x, we use the trigonometric ratio.

Note that: cosine = adjacent / hypotenuse

Plug in the values:

cos( 43° ) = 11 / x

Solve for x

x = 11 / cos( 43° )

x = 15.04

Therefore, the value of x is 15.04 units.

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The resulting matrix from an elementary row operation to get a 1, in row 1 column 1 is:

R₁ = [1 4 -8] and R₂ = [2 4 7]

A rectangular array of numbers or mathematical objects which are arranged in rows and columns is called a matrix. Each row of a matrix is a horizontal sequence of numbers or objects that are separated by commas and enclosed within square brackets, and it represents a vector in the row space of the matrix.

The row operation R₁ - 4 — R₁ will be carried out as follows:

5 - 4 = 1 {row 1 column 1}

9 - 4 = 5 {row column 2}

-4 - 4 = -8 {row column 3}

Therefore, the resulting matrix from an elementary row operation to get a 1, in row 1 column 1 will have:

R₁ = [1 4 -8] and R₂ = [2 4 7]

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The total area of the figure with points A(-5,4), B(4,4), C(4,1),  D(1,1), E(4,-3) F(4,-6), G(-5, -6) has been found as  51 square units.

A graph is described as a mathematical representation of a network and it describes the relationship between lines and points.

The first step is to divide the figure is into two rectangles and a triangle.

we notice that the points B, C, E, and F will form a rectangle with base BC and height of 7 units.

We also notice that the  points A, D, and G form a rectangle with base AG and height 5 units.

we notice that  points C, D, and E form a triangle with base CE and height 4 units.

we notice that the  length of BC is 4 - 4 = 0, therefore  the area of the rectangle with base BC is 0.

The area of the rectangle with base AG is (4 - (-5)) x 5 = 45 square units. The area of the triangle with base CE is (4 - 1) x 4 / 2 = 6 square units.

In conclusion, the total area of the figure with points A(-5,4), B(4,4), C(4,1),  D(1,1), E(4,-3) F(4,-6), G(-5, -6)  is 45 + 6 = 51 square units.

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Answer:

V ≈ 1809 ft^3

Step-by-step explanation:

Given:

r (radius) = 6ft

h (height) = 16ft

π = 3,14

Find: V (volume) - ?

[tex]v = \pi {r }^{2} \times h[/tex]

[tex]v = 3.14 \times {6}^{2} \times 16 ≈1809 \: {ft}^{3} [/tex]

Answer: 48

Step-by-step explanation:

180-132=48

Answer:

48

Step-by-step explanation:

angle = 132

supplementary angle = 180

measure of supplementary angle = 180 - 132 = 48

thus the measure of the supplement is 48

hope you got your answer.

A formula for y in terms of x and c is y = c⁵√x

In inverse variation, as the value of one of the variables increases, the value of the other decreases and as the value of one of the variable decreases, the other increases.

From the information given, we have that;

y ∝1/√x

Now, let's find the constant value, k, we have;

y√x = k

We have that their values are;

y = c⁴, x = c²

Substitute the values, we have;

c⁴√c² = k

k = c⁵

Now, substitute the values

y = k√x

y = c⁵√x

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Answer:

16 = 6+2.5h

Step-by-step explanation:

The total cost is 16 dollars.  She spends 6 dollars for shoes and 2.50 per hour.

16 = 6+2.5h

To solve, subtract 6 from each side

16-6 = 6+2.5h-6

10 = 2.5h

Divide each side by 2.5

10/2.5 = 2.5h/2.5

4 =h

She can climb for 4 hours.

Answer:

Step-by-step explanation: 5

Answer:To find sin(π/4), we can use the fact that sin(π/4) = sin(45°). We also know that sin(45°) = 1/√2 or approximately 0.707 (rounded to 3 decimal places). Therefore, sin(π/4) is approximately equal to 0.707.

Step-by-step explanation:

The given angles are 7π/4, 10π/3 & 510°.

Calculations for 7π/4(4th Quadarant)

sin(7π/4) = -1/√2

cos(7π/4) = 1/√2

tan(7π/4) = -1

cosec(7π/4) = -√2

cot(7π/4) = -1

sec(7π/4) = √2

Calculations for 10π/3(3rd Quadarant)

sin( 10π/3) = -√3/2

cos(10π/3) = -1/2

tan(10π/3) = √3

cosec(10π/3) = - 2/√3

cot(10π/3) = 1/√3

sec(10π/3) = -2

Calculations for 510°(2nd Quadarant)

sin( 510°) = 1/2

cos(510°) = -√3/2

tan(510°) = -1/√3

cosec(510°) = 2

cot(510°) = -√3

sec(510°) = -2/√3

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Real-estate agent tested the effect of staging on home sale prices. Out of 10 comparable homes, 5 were staged. Staged homes sold for $15k more on average, with no skewness or outliers.

Based on the information given, the real-estate agent conducted an experiment to test the effect of selling a staged home vs. selling an empty home.

The hypothesis is that empty homes sell for lower prices than staged homes. The agent randomly assigned 5 empty homes to be staged and obtained a list of 10 comparable homes.

The mean selling price of the 5 empty homes was $150,000 with a standard deviation of $22,000. The mean selling price of the 5 staged homes was $175,000 with a standard deviation of 35,000. There was no strong skewness or outliers in the dot plots of the two samples.

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Answer:

Step-by-step explanation:

A=4

b Base

1

h Height

4

b

h

a

h

h

b

a

a

P

A

b

Solution

A=bh=1·4=4 hope helps  byee

The actual consumer spending at a price of $27 per unit is $268.26.

Substitute the given price into the supply equation to get the corresponding quantity supplied:

p = q + 10

27 = q + 10

q = 17

Substitute q = 17 into the demand equation to get the corresponding price:

4q² + p² = 1405

4(17)² + p² = 1405

p² = 1405 - 1156

p² = 249

p = 15.78

The actual consumer spending can be calculated by multiplying the quantity demanded by the price:

Actual consumer spending = quantity demanded x price per unit

= 17 x 15.78

= $268.26

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The demand and supply equations for a certain product are given by space 4 q squared plus p squared equals 1405 and p equals q plus 10 where p is in dollars per unit and q is in units. For a price of $27 per unit, determine the actual consumer spending.

The expression that Sally can use to determine how many dominoes can fit in the tin based on the number of dominoes in each row stacked is (Number of rows stacked ÷ 0.75) x (9 x 4)

Sally can use the fact that she can fit 3 dominoes stacked on top of each other, 9 dominoes side-by-side, and 4 dominoes end-to-end in the tin to figure out how many dominoes can fit in the tin. Since she knows that 27 dominoes fit in one row stacked, she can use addition to determine the total number of dominoes that can fit in the tin.

First, she can find the number of dominoes that can fit in one layer of the tin by multiplying the number of dominoes that fit side-by-side and the number that fit end-to-end: 9 x 4 = 36.

Then, she can divide the total number of dominoes that fit in one row (27) by the number of dominoes that can fit in one layer (36): 27 ÷ 36 = 0.75.

This means that each layer of the tin can hold 0.75 rows of dominoes.

To find the total number of dominoes that can fit in the tin, Sally can multiply the number of layers by the number of dominoes in each layer: Number of layers x Number of dominoes in each layer = Total number of dominoes that can fit in the tin.

Therefore, the expression that Sally can use to determine how many dominoes can fit in the tin based on the number of dominoes in each row stacked is:

Total number of dominoes = Number of layers x Number of dominoes in each layer

Total number of dominoes = (Number of rows stacked ÷ 0.75) x (9 x 4)

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The incorrect statement is b. When an aeroplane takes off, the work done by its weight is negative.

The inaccurate assertion is:

b) When a plane removes, the work done by its weight is positive.

The right assertion is:

b) When a plane removes, the work done by its weight is negative.

Clarification:

At the point when a plane removes, the work done by the heaviness of the plane is negative in light of the fact that the weight acts the other way to the dislodging of the plane. As indicated by the work-energy hypothesis, work done by the heaviness of the plane will diminish its motor energy, and that implies that the work done is negative. Hence, articulation (b) is inaccurate.

a) Work and energy have various units.

This assertion is right. Work has units of Joules (J) and energy additionally has units of Joules (J), however they are not exactly the same thing.

c) The possible energy of spring increments when it is broadened and diminishes when it is packed.

This assertion is right. The potential energy put away in a spring is straightforwardly corresponding to its expansion or pressure. While a spring is broadened, its potential energy increments, and when it is packed, its potential energy diminishes.

d) On the off chance that the work done by outside powers on a framework is negative, the energy of the framework diminishes.

This assertion is right. On the off chance that the work done by outside powers on a framework is negative, the energy of the framework diminishes.

The work-energy hypothesis expresses that the net work done on a framework is equivalent to the adjustment of its motor energy, and in the event that the net work is negative, the dynamic energy diminishes, and that implies that the energy of the framework diminishes.

e) When a body is falling unreservedly from a level, its dynamic energy stays consistent.

This assertion is erroneous. At the point when a body is falling unreservedly from a level, its potential energy is changed over into dynamic energy as it falls. Hence, its motor energy increments as it falls, and its potential energy diminishes.

f) The unit of force is watt.

This assertion is right. The unit of force is watt (W), which is characterized as the pace of taking care of business or the pace of move of energy.

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The complete question is:

Identify the wrong statement among the following. Rewrite them by making necessary corrections.

a) Work and energy have different units.

b) When an aeroplane takes off, the work done by its weight is positive.

c) The potential energy of spring increases when it is extended and decreases when it is compressed.

d) If the work done by external forces on a system is negative then the energy of the system decreases.

e) When a body is falling freely from a height, its kinetic energy remains constant.

f) The unit of power is watt.

The probability that the woman's height is between 62.9 in and 63.9 in is 0.1580

From the question, we have the following parameters that can be used in our computation:

So, the z-scores are

z = (62.9 - 63.6)/2.5 = -0.28

z = (63.9 - 63.6)/2.5 = 0.12

i.e. between a z-score of -0.28 and a z-score of 0.12

This is represented as

Probability = (-0.28 < z < 0.12)

Using a graphing calculator, we have

Probability =  0.1580

Hence, the probability is 0.1580

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The solution to the given inequality is: 10 > x ≤ 12

Inequalities are defined as mathematical expressions that involve the symbols >(greater than), <(less than), ≥(greater than or equal to) and ≤(less than or equal to).

In order for us to 'solve' an inequality, we have to find a range, or ranges, of values that an unknown x can take and still satisfy the inequality.

We are told that the angle (9x + 7)° is greater than 97° and at most 118°

Thus:

9x + 7 > 97

9x > 90

x > 10

Similarly:

9x + 7 ≤ 115

9x ≤ 108

x ≤ 12

Thus, the solution to the inequality is: 10 > x ≤ 12

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To plot the above linear regression on a graph, follow the procedures outlined below.

You may use the following steps to plot the supplied data on a graph:

1) Create an x- and y-axis coordinate plane.

2) Label the x-axis with the numbers 1 through 13 (to represent the 13 data points).

3) Label the y-axis with a suitable scale that encompasses the data's greatest and lowest values (e.g., 0 to 2200 with 200 increments).

4) For each point, try to find  the associated x -value on the x-axis and the corresponding y-value on the y- axis, and then place a point at the intersection of the two values.

For example, if the first point is (1, 1000), you would identify the x-axis point labeled "1" and the y-axis point labeled "1000" and add a point at it  intersection.

5) based  on the pattern in the data, connect the points of the coordinares using  a line or a curve. Because the data appears to increase gradually with some fluctuations in this case, a line connecting the points would be appropriate.

After plotting the data on the graph, you may study the pattern and draw inferences about the data's trend over time. Please see the attached sample graph.

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snip, that's wrong nvm (not sure how to delete)

As per the given variables, Victor jumped a total of 4 yards.

Total yards jumped = 6 feet high

Additional yards = 2

A yard is one linear yard. "Yd" is the yard symbol. The standard of measurement has always been derived from either a natural item or a portion of the human body, such as a foot, an arm's length, or the width of a hand.

Converting the initial jump of 6 feet to yards, as the additional distance given is also in yards.

There are 3 feet in a yard, therefore -

6 feet = 6/3  

= 2

Thus, Victor jumped 2 yards initially, and then 2 more yards as given in the problem.

Calculating, the total distance Victor jumped in yards -

= 2 + 2

= 4

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Answer:

Step-by-step explanation: