how do i solve 9 divide by 10.034

Answer: D

Step-by-step explanation: Plug in 0 for x and solve. Then plug in 4 for x and solve. Compare the results. Which function has the smallest difference in output? Which has the greatest difference in output?

Answer:

the answer for this question is -3,248

Hey there!

Answer:

\(Given\) → \(\sqrt{18x^5*y}\)

\(Solution\) → \(3x^2\sqrt{2x*y}\)

Hope this helps! If you mark Brainliest, TYSM! :D

The required specific energy increases with increasing depth and the water surface profile will be rapidly varied.

To determine the type of water surface profile for different depths in the rectangular channel, we can use the concept of specific energy and Manning's equation.

The specific energy (E) is given by the equation:
E = y + (V² / (2g)) + (Sf * x)

Given values:
Width of the rectangular channel (b) = 2.45 m
Discharge (Q) = 2.83 m³/sec
Bed slope (Sf) = 0.003
Manning's roughness factor (n) = 0.015

For each depth, we can calculate the velocity (V) using Manning's equation and then determine the specific energy (E) using the equation mentioned above.

Depth 1 (y₁ = 1.52 m):

First, let's calculate the velocity (V₁) using Manning's equation:\(V_1 = (1/n) * (R_1^{2/3}) * (S_f^{(1/2)})\)

The hydraulic radius (R₁) can be calculated as:
R₁ = (b * y₁) / (b + 2y₁) = (2.45 * 1.52) / (2.45 + 2 * 1.52) ≈ 0.678 m

Substituting the values
\(V_1= (1/0.015) * (0.678 ^{2/3}) * (0.003^{1/2})\) ≈ 2.81 m/s

Now, let's calculate the specific energy (E₁) using the equation:
E₁ = y₁ + (V₁² / (2g)) + (Sf * x)

Substituting the values:
E₁ = 1.52 + (2.976² / (2 * 9.81)) + (0.003 * x)

The above expression shows, the specific energy increases with increasing depth, and the water surface profile will be rapidly varied.

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Given question is incomplete, the complete question is:
2.45-m wide rectangular channel with a discharge of 2.83 m³/sec. has a bed slope of 0.003 and Manning's roughness factor of 0.015. What is the type of water surface profile for depths of 1.52 m, whether it is rapidly varied or not?

Answer:

To create accurate representations

Step-by-step explanation:

With geometric construction, angles, line segments, and all geometric shapes will have accurate representation.

Answer:

log 7

Step-by-step explanation:

Using the rules of logarithms

log x + log y ⇔ log (xy )

log x - log y ⇔ log (\(\frac{x}{y}\) )

Given

log\(\frac{14}{3}\) + log\(\frac{11}{5}\) - log\(\frac{22}{15}\)

= log (\(\frac{14}{3}\) × \(\frac{11}{5}\) ) - log\(\frac{22}{15}\)

= log (\(\frac{154}{15}\) ) - log\(\frac{22}{15}\)

= log ( \(\frac{154}{15}\) ÷ \(\frac{22}{15}\) )

= log (\(\frac{154}{15}\) × \(\frac{15}{22}\) )

= log\(\frac{154}{22}\)

= log 7

Answer:

1:5

Step-by-step explanation:

Since 60 is divisible by 12, the answer of 5 would be used in ratio form too.

Answer:

From sin²θ + cos²θ = 1, we have;

sin⁴θ + cos⁴θ = 1 - 2·sin²θ·cos²θ

Step-by-step explanation:

The given equation is (sin⁴θ + cos⁴θ) = 1 - 2 sin²θ·cos²θ

We have;

(sin⁴θ + cos⁴θ) = 1 - 2 sin²θ·cos²θ gives;

(sin⁴θ + cos⁴θ) + 2 sin²θ·cos²θ= 1

Which is equivalent to sin⁴θ + 2 sin²θ·cos²θ +cos⁴θ  = 1

From which we can get;

(sin²θ + cos²θ)·(sin²θ + cos²θ)  = 1

Given that sin²θ + cos²θ = 1

Therefore;

1 × 1 = 1

To get to the initial equation in the question, we have;

sin²θ + cos²θ = 1

(sin²θ + cos²θ) × (sin²θ + cos²θ) = 1

(sin⁴θ + sin²θ·cos²θ + sin²θ·cos²θ + cos⁴θ = 1

∴ sin⁴θ + cos⁴θ = 1 - sin²θ·cos²θ + sin²θ·cos²θ  = 1 - 2·sin²θ·cos²θ

Therefore;

sin⁴θ + cos⁴θ = 1 - 2·sin²θ·cos²θ.

Answer:

A scatter plot can show a positive relationship, a negative relationship, or no relationship. If the points on the scatter plot seem to form a line that slants up from left to right, there is a positive relationship or positive correlation between the variables.

Since Jontorya's parents put $12,340 into a Florida prepaid account to start saving for her college, their interest rate is 14.9%.

Given the following data:

To find Jontorya's parents interest rate:

Mathematically, simple interest is given by the formula:

\(S.I = \frac{PRT}{100}\)

Where:

Making R the subject of formula, we have:

\(R = \frac{100S.I}{PT}\)

Substituting the given parameters into the formula, we have;

\(R = \frac{100 \times 5553}{12340 \times 3}\\\\R = \frac{555300}{37290}\)

Interest rate, R = 14.9%

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If two coplanar lines are cut by a transversal so that a pair of alternate interior angles are equal then the two lines are parallel.

The four sets of opposing angles that each have their own vertex point, are on different sides of the transversal and are both either internal or exterior are called alternate angles.

In geometry, a transversal line is one that cuts across the plane in two places. It does so at two spots where two lines meet. Many right angles are produced when two transverse lines meet. There are four types of similar angles: matching, alternative interior, alternate exterior, and co-interior.

In geometry, two lines are considered parallel if and only if all pairs of alternative interior angles in any transversal are equal.

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To argue why the liberal arts are so important in education and leisure, one must discuss its Greek origin and how it is received today.

The term "liberal arts" comes from the Latin word "liberalis," which means free. It was used in the Middle Ages to refer to topics that should be studied by free people. Liberal arts refers to courses of study that provide a general education rather than specialized training. It encompasses a wide range of topics, including literature, philosophy, history, language, art, and science.The liberal arts curriculum is based on the idea that a broad education is necessary for individuals to become productive members of society. In ancient Greece, education was focused on developing the mind, body, and spirit.  

The study of the liberal arts is necessary to create well-rounded individuals who can contribute to society in meaningful ways. While the importance of the liberal arts has been debated, it is clear that they are more important now than ever before. The study of the liberal arts is necessary to develop the skills that are required in a rapidly advancing technological world.

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Answer: c

Step-by-step explanation: yeah

Answer:

\(69.8637\)

(4d.p)

Answer:

slope is 0(this is just the slope)

intercep in y is (0,6)

if you write it in y=mx+b is 6(this is slope intercept)

Given:

TW=120

TV=3x+1

UV=x-6

UW=8x-4

The objective is to find the length of UV,

The length of UV can be calculated as,

Now, substitute the value of x in UV.

Hence, the length of UV is 5.7.

Hey there!

"8x = 25"

In order for you to solve for "x-value" (or the equation) we have to DIVIDE both of your sides by 8

8x/8 = 25/8

Cancel out: 8x/8 because that gives you the value of 1 and you don't need it at the moment (in that equation that is)

Keep: 25/8 Because it solves for your equation

Your x equals: 25/8 aka 1 1/8 aka 3.125 (you could choose any one of these as your answer because they are all correct)

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

39

Step-by-step explanation:

37 = 96 %

x  = 100%

\(x =\frac{37(100)}{96} =38.54= 39\)

\(\huge\boxed{39\ \text{students}}\)

Note: The numbers in this problem are a little weird and don't work out perfectly. I'll demonstrate at the end of this answer how something seems a little off in the problem, but we'll get as close as possible.

We know from the problem that 37 students are equal to 96% of the class.

Let's write this as an equation:

\(37=0.96x\)

Divide both sides of the equation by \(0.96\) to isolate \(x\).

\(38.54\approx x\)

We'll round this to \(39\) as the final answer.

It's important to note that you can't have partial students, only whole numbers.

If we do the math here, 37 out of 39 students is about 95%.
Also, 37 out of 38 is about 97%.

I'm not sure how the original writer of the question got 96%, but I suppose 39 is the best answer with what's been given.

False. A data set will not always have one mode. A data set can have more than one mode, no mode, or only one mode. A mode is a value or set of values that appears the most frequently in a data set. If two or more values appear with the same frequency in a data set, then the data set is said to have two or more modes. If no value appears more than any other value, then the data set has no mode. If only one value appears more than any other value, then the data set has only one mode.

For example, in a data set of the ages of students in a class, the mode could be either 19 or 20. This means that 19 and 20 both appear with the same frequency, so the data set has two modes. On the other hand, if the ages in the class are all different, then there is no mode, as no value appears more than any other value. Finally, if every student in the class is 20 years old, then the data set has only one mode, 20.

In conclusion, a data set will not always have one mode. Depending on the values in the data set, the mode can have one value, two or more values, or no value.

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As a result, the solid's volume in the first octant, which is restricted by the paraboloid z = 4 + 2 x + 2 y, is 9.

We must determine the limits of integration for x, y, and z in order to determine the volume of the solid in the first octant bounded by the paraboloid z = 4 + 2x + 2y + 2 and the plane z = 10.

At z = 10, where the paraboloid and plane overlap, we put the two equations equal and find z:

4 + 2x^2 + 2y^2 = 10

2x^2 + 2y^2 = 6

x^2 + y^2 = 3

This is the equation for a circle in the xy plane with a radius of 3, centred at the origin. We just need to take into account the area of the circle where x and y are both positive as we are only interested in the first octant.

Integrating over the circle in the xy-plane, we may determine the limits of integration for x and y:

∫∫[x^2 + y^2 ≤ 3] dx dy

Switching to polar coordinates, we have:

∫[0,π/2]∫[0,√3] r dr dθ

Integrating with respect to r first gives:

∫[0,π/2] [(1/2)(√3)^2] dθ

= (3/2)π

So the volume of the solid is:

V = ∫∫[4 + 2x^2 + 2y^2 ≤ 10] dV

= (3/2)π(10-4)

= 9π

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Answer:

67 gallons at 335 minutes

81 gallons at 405 minutes

Step-by-step explanation:

I plotted the points and determined they form a straight line, with a slope of 3 and a y-intercept of 0.

In the form of y=mx+b,

this fill behavior can be represented as y = (1/5)x + 0, or y = (1/5)x

y is the volume in gallons and x is the time in minutes.  The slope, (1/5), is the rate of filling the tank, in gallons/minute.

The solutions for 335 and 405 minutes may be found either by marking them on the graph (attached), of by simple calculation:

At 335 minutes, y = (1/5)(335), or 67 gallons

At 405 minutes, y = (1/5)(405) = 81 gallons

The correct answer is- we need to add 200 millilitres of 100% detergent to 200 millilitres of 7% detergent to make a 14% detergent solution.

Let the volume of 100% detergent be x millilitres.

Thus, the initial amount of detergent present in the solution is 0.07 × 200 = 14 millilitres.

We need to determine the amount of 100% detergent required to make the solution 14% of detergent.

Thus, the total volume of the new solution is (200 + x) millilitres.

Since the final concentration of the solution is 14%, the amount of detergent in the new solution is 0.14(200 + x).

According to the problem, the amount of detergent added is x millilitres of 100% detergent.

Hence, we can express the amount of detergent in the new solution as follows:14 + x = 0.14(200 + x)

Solving for x, we get x = 200 millilitres.

The amount of 100% detergent required to make the solution 14% of detergent is 200 milliliters.

Therefore, the total volume of the new solution is 200 + 200 = 400 millilitres.

Hence, we need to add 200 millilitres of 100% detergent to 200 millilitres of 7% detergent to make a 14% detergent solution.

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The equation of the path of the parabola is y = a(x - 13)² + 27

Given data ,

To represent the path of Al's toss, we can assume that the path is a parabolic trajectory.

The equation of a parabola in vertex form is given by:

y = a(x - h)² + k

where (h, k) represents the vertex of the parabola

Now , the balloon was released from the 10-yard line and landed at the 16-yard line, we can determine the x-values for the vertex of the parabola.

The x-coordinate of the vertex is the average of the two x-values (10 and 16) where the balloon was released and landed:

h = (10 + 16) / 2 = 13

Since the height of the balloon reached 27 yards, we have the vertex point (13, 27)

Now, let's substitute the vertex coordinates (h, k) into the general equation:

y = a(x - 13)² + k

Substituting the vertex coordinates (13, 27)

y = a(x - 13)² + 27

To determine the value of 'a', we need another point on the parabolic path. Let's assume that the highest point reached by the balloon is the vertex (13, 27).

This means that the highest point (13, 27) lies on the parabola

Substituting the vertex coordinates (13, 27) into the equation

27 = a(13 - 13)² + 27

27 = a(0) + 27

27 = 27

Hence , the equation representing the path of Al's toss is y = a(x - 13)² + 27, where 'a' can be any real number

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Answer:

How can we do collaboration

Answer:

999,960

Step-by-step explanation:

let x be a multiple of 120

120x ≤ 999,999

999,999 / 120 = 8333.325

8333 ≤ x ≤ 8334

8333(120) = 999,960

8334(1200) = 1,000,080  this is a 7-digit number

Therefore, the largest 6-digit number that is exactly divisible by 120 is 999,960

Answer:

It goes

Equivalent

Not Equivalent

Not Equivalent

Equivalent

Step-by-step explanation:

For the first one: First, you distribute 5 to 3y to get 15y. Then, you distribute 5 to -4 to get -20. When combining you will get an equation of 15y-20

For the second one: First, you distribute -4 to -2p to get 8p. Then, you distribute -4 to -4 to get 16. When combining you will get an equation of 8p+16

For the third one: First, you distribute 3 to -7x to get -21x. Then, you distribute 3 to -13 to get -39. When combining you will get an equation of -21-39

For the fourth one: First, you distribute -6 to -4a to get 24a. Then, you distribute -6 to 8 to get -48. When combining you will get an equation of 24a-48

Answer:

a because 75 plus 15 equal 90

The points A(-4,3) ; B(-3,4) ; C(4,3) ; D(4,-3) are plotted on the graph.

What is meant by a coordinate plane?

Two number lines combine to generate the two-dimensional surface known as the coordinate plane. The x-axis is a single horizontal number line. The y-axis is the name of the vertical number line which is the other number line. The origin is where the two axes come together. The coordinate plane can be used to graph points, lines, and other things.

The given points are

A is 4 units to the left and 3 units up which means  A is (-4,3).

B is 3 units to the left and 4 units up which means B is (-3,4).

C is 4 units to the right and 3 units up which means C is (4,3).

D is 4 units to the right and 3 units down which means D is (4,-3).

All these 4 points are plotted on the coordinate plane and the graph is attached below.

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Answer: 1/2

Step-by-step explanation:

Answer:

55

Step-by-step explanation: