7.2×10 to the power of -8 ÷ 3×10 to the power of -2

Answer:

5 : 7

Step-by-step explanation:

groom's side: 40

bride's side: 56

ratio groom to bride = 40/56 = 20/28 = 10/14 = 5/7

Answer: 5 : 7

Answer:

it 9 girl or boy what ever gender you are your welcome

Step-by-step explanation:

Here we want to study the relation between the exponents in a polynomial function and the "odd" property of functions.

We will see that Dimetri is correct.

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

We start by defining an odd function as a function such that:

f(-x) = -f(x).

Now, let's see a simple function with only odd exponents.

f(x) = a*x  (the exponent is 1, so it is odd).

if we evaluate this in x = 1, we get:

f(1) = a

If we evaluate this in x = -1, we get:

f(-1) = a*-1 = -a

Then this is odd.

Now let's see a more general case and why Dimetri is correct.

For the rule of signs, when we multiply 2 negative numbers, the product is positive.

So always that we have an even exponent on a negative number, the outcome will be positive.

This does not happen for odd exponents, because we can't separate all the products in groups of 2, thus if we take the odd exponent of a negative number, the outcome is negative.

Then for functions with only odd exponents, the outcome for evaluating the function in a given input is exactly the opposite of evaluating the same function with the opposite input.

This means that the function is odd.

Again, note that this only happens if the function only has odd exponents.

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Answer:

The linear equation is y = 450 - 30 x, where y is the number of pages

Lourdes has left to read after x days

Step-by-step explanation:

Each day, Lourdes reads 30 pages of a 450-page book

- We need to write a linear equation to represent the number of pages

 Lourdes has left to read after x days

∵ Lourdes reads 30 pages each day

∵ Lourdes will read for x days

∴ The number of pages Lourdes will read in x day = 30 x

- The left pages will be the difference between the total pages of the

 book and the pages Lourdes read

∵ The book has 450 pages

∵ Loured will read 30 x in x days

∴ The number of pages left = 450 - 30 x

- Assume that y represents the number of pages Lourdes has left

 to read after x days

∴ y = 450 - 30 x

The linear equation is y = 450 - 30 x, where y is the number of

pages Lourdes has left to read after x days

Yes, the given coordinates X(1,-3), Y(6,1), Z(2,2) are the vertices of a triangle.

1. Calculate the distance between the points X and Y using the distance formula:

d = √[(x2 - x1)2 + (y2 - y1)2]

d = √[(6 - 1)2 + (1 - (-3))2]

d = √[52 + 42]

d = √25 + 16

d = √41

d = 6.4

2. Calculate the distance between the points Y and Z using the distance formula:

d = √[(x2 - x1)2 + (y2 - y1)2]

d = √[(2 - 6)2 + (2 - 1)2]

d = √[(-4)2 + 12]

d = √16 + 12

d = √28

d = 5.3

3. Calculate the distance between the points Z and X using the distance formula:

d = √[(x2 - x1)2 + (y2 - y1)2]

d = √[(1 - 2)2 + (-3 - 2)2]

d = √[(-1)2 + (-5)2]

d = √1 + 25

d = √26

d = 5.1

Since each side of a triangle must have a length greater than 0, and the distances calculated above are all greater than 0, then the given coordinates X(1,-3), Y(6,1), Z(2,2) are the vertices of a triangle.

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The first scenario is an example of Newton's first law, the second scenario is an example of Newton's second law.

Finally, if Beatriz Pushed with more force than Gustavo, the door would move in the direction in which Beatriz is pushing.

Remember Newton's first law of motion:

"if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force."

Now, in the first scenario given, both persons push the door with the same force and in opposite directions, thus, the net force on the door is 0 (because we can directly add the forces).

Then the first example is an example of the first law of motion, where because the net force on the door is 0, the door does not move.

Now, for the second law, we know that the force applied to an object is equal to the object's acceleration times the object's mass.

So, in the second case where Gustavo pushes the door with more force than Beatriz, the net force is not 0, so here the door will move in the direction in which Gustavo is pushing, this is an example of the second law of motion.

Finally, if Beatriz Pushed with more force than Gustavo, the door would move in the opposite direction than in the case above.

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Answer:

a balanced force

Unbalanced forces

move

Step-by-step explanation:

I got it right

Answer:

a. 3

b. 9

Step-by-step explanation:

6 / 2 = 3

It takes each person 3 hours.  

a. 3

b.  3*3 = 9

Answer:

3/4

Step-by-step explanation:

Answer:

a= 12, b= 24, c = 12, d= 12root3

Step-by-step explanation:

Because the triangle to the left is a right triangle with a 45 degree angle, we can deduce that it is a 45-45-90 special triangle where a =c. Furthermore, a and c = the hypotenuse divided by root 2.

12 root 2 / root 2 = 12

a=12, c=12

The triangle to the right is a right triangle with a 30 degree angle, so it is a 30-60-90 special right triangle.

If a = 12, b is 2 times a

b= 2*12 = 24

If a =12, d = a * root 3

d= 12root3

I hope this helped! :)

Answer:

18 degrees heres youre answer!

Step-by-step explanation:

If Angle 1 is x, and Angle 2 is 9x (because one angle is 9 times as large as the other), then x + 9x = 180. Add like terms: 10x = 180. solve for x by dividing both sides by 10. Therefore, x = 18 degrees = smaller angle.

The conditional statement "If the measure of a right angle is 95, then bees are lizards" is neither true nor false since it is a nonsensical statement.

A conditional statement consists of a hypothesis (the "if" part) and a conclusion (the "then" part).

In this case, the hypothesis is "the measure of a right angle is 95" and the conclusion is "bees are lizards."

The measure of a right angle is always 90 degrees, not 95. Therefore, the given hypothesis is false.

However, the conclusion that "bees are lizards" is unrelated to the hypothesis and does not follow any logical connection.

Since the hypothesis is false and the conclusion is unrelated, we cannot determine the truth value of this conditional statement. It is not a valid or meaningful statement to assess the truth or falsehood of such a non-sequitur claim. Thus, the statement is neither true nor false; it is simply nonsensical.

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There will be a total of 36 handshakes taking place as each of the six members from the Skateer University hockey team shakes hands with each of the six members of the Iceburg Tech team.

We have two teams: Skateer University with six members and Iceburg Tech with six members. We need to find out how many handshakes take place when each member of Skateer University shakes hands with each member of Iceburg Tech.

To find the total number of handshakes, you can use the following steps:

1. Multiply the number of members in the Skateer University team by the number of members in the Iceburg Tech team.
2. The result will give you the total number of handshakes.

Here's the calculation:

6 (members of Skateer University) * 6 (members of Iceburg Tech) = 36 handshakes

So, there are 36 handshakes taking place between the members of the Skateer University and Iceburg Tech teams.

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Answer:

46

y = 3 /5x +26

y =?

X= 12

y=3 /5x + 26

y= 3 / 5 × 12 + 26

y = 3 / 60 + 26

y = 20 + 26

y = 46 ans

Answer:

Step-by-step explanation:

700.5

Answer:

4 (x + 7)

Step-by-step explanation:

Answer:

4(x+7)

Step-by-step explanation:

First, start with the terms x and 7, the expression calls for their sum so addition is the needed operation. Then, 4 times the sum means that 4 must be multiplied after x and 7 are added. So because of PEMDAS parentheses are needed around x+7. Therefore the expression is 4(x+7).

Using a matrix to solve the ax = b in this case is given as x₁ = (43)/3. See the explanation below.

A matrix is a set of integers that are organized in rows and columns to form a rectangular array.

\(\begin{bmatrix} 1& 1& 1\\ 1& 4& -1\\ 1& -1& 2\end{bmatrix}\begin{bmatrix} 1\\ 2\\3\end{bmatrix}\)

R₁ → R₂ - R₁, R₃ → R₃ - R₁

\(\begin{bmatrix} 1& 1& 1\\ 0& 3& -2\\ 0& -2& 1\end{bmatrix}\begin{bmatrix} 1\\ 1\\2\end{bmatrix}\)

R₃ → 3R₃+2R₂

\(\begin{bmatrix} 1& 1& 1\\ 0& 3& -2\\ 0& 0& 1\end{bmatrix}\begin{bmatrix} 1\\ 1\\8\end{bmatrix}\)

⇒ -X₃ = 8

⇒ X₃ = -8

3x₂ + 16 = 0

⇒ x₂ =  -16/3

Hence

X₁ + X₂ + X₃ = 1

Therefore

X₁ - (16/3) - 8 = 1

⇒ X1 - (40/3) = 1

⇒ X₁ = 1 + (40/3)

= 43/3

⇒ X₁ = 43/3

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The value of the angle θ required in the water main for the turn from north to east is 87.40°.

According to the statement

We have to find that the value of the angle.

So, For this purpose, we know that the

An angle is created when two straight lines or rays meet at a standard endpoint.

From the given information:

a main is to be constructed with a 20% grade within the north direction and a tenth grade within the east direction.

Then

Let n = North

and e = east

Then

using vectors,

n =  j + 0.20 k

e = i + 0.25 k

And the

n · e = 1x0 + 0x1 + 0.20×0.25 = 0.05

Now take magnitude then

|n|·|e| = i(1² + 0.20²)·i(1²+0.25²) = 1.105

Now,

E° = arccos((n · e)/|n|·|e|)

E° = arccos(0.05/1.105)

E° = arccos (0.0452)

E° = 87.40°

So, The value of the angle θ required in the water main for the turn from north to east is 87.40°.

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Answer: 476.9 x 100 = 47690

Step-by-step explanation: When you multiply a number by 100, you are simply adding two zeroes to the end of the number.

So, for example, to find 476.9 x 100, you can simply add two zeroes to the end of 476.9, giving you 47690.

Another way to think about it is to move the decimal point 2 places to the right.

476.9 -> 476.90

Therefore 476.9 x 100 = 47690

Answer:

3

Step-by-step explanation:

We do do -3 on both sides and get 7b = 21. Then we multiply by the reciprocal (divide) (7b * 1/7 = 21 * 1/7) . We get b = 21/7 cause the 7's cancel out. b = 3 cause 21/7 = 3

The standard deviation of a sample proportion is given by the formula:

σ = sqrt((p * (1 - p)) / n)

where σ is the standard deviation, p is the sample proportion, and n is the sample size.

If we want the standard deviation to be one-half of what it was for a sample of size 100, we can write the following equation:

(sqrt((p * (1 - p)) / n)) / 2 = sqrt((p * (1 - p)) / 100)

To simplify the equation, we can square both sides:

((p * (1 - p)) / n^2) / 4 = (p * (1 - p)) / 100

Simplifying further:

100 * n^2 = 4 * 1

n^2 = (4 * 1) / 100

n^2 = 0.04

Taking the square root of both sides:

n = sqrt(0.04)

n = 0.2

Therefore, the sample size should be 0.2. However, since the sample size must be a positive integer, we round it up to the nearest whole number. Therefore, the sample size should be 1.

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Chloe believes that 6 units of good X are a perfect substitute for 1 unit of good Y. We need to write down a utility function that represents Chloe's preferences.

To represent Chloe's preferences, we can use a Cobb-Douglas utility function. In this case, since Chloe believes that 6 units of X are a perfect substitute for 1 unit of Y, we can express her preferences as follows:

\(U(X, Y) = \alpha X^\beta Y^{(1-\beta)}\)

In this utility function, X represents the quantity of good X consumed, Y represents the quantity of good Y consumed, and α and β are positive constants.

Given that 6 units of X are a perfect substitute for 1 unit of Y, we can set β = 1/6. This means that the coefficient of Y in the utility function is raised to the power of (1 - 1/6) = 5/6, indicating the decreasing marginal utility of Y as more of it is consumed.

The utility function U(X, Y) captures Chloe's preferences, where she derives satisfaction from consuming both goods X and Y, with the trade-off between the two represented by the exponent β in the utility function.

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Yes because 4+9>8 and 5+8>4.

A polygon is a closed figure having n sides. The polygons are rectangle, square, triangle, etc.

A triangle is a 2D figure or polygon having only 3 sides. There are various types of triangles like an equilateral triangle, isosceles triangle, right-angled triangle, etc.

The sum of all the angles of the triangle is 180 degrees.

For the polygon to be a triangle we must verify if the sum of any two sides of the triangle is greater than the third side.

if yes then the triangle is formed otherwise not.

since 5+4=9>8 and 5+8=13>4 the student can make the triangle correctly.

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There are 7 boxes can be stacked on top of each other inside the warehouse.

A warehouse is a building for storing goods. Warehouses are used by manufacturers, importers, exporters, wholesalers, transport businesses, customs, etc.

Here, height of warehouse = \(9\frac{4}{5}\) = 49/5

         height of box = \(1\frac{2}{5}\) = 7/5

Number of boxes = height of warehouse / height of box

                              = \(\frac{49/5}{7/5}\)

                             = 49 / 7

                              = 7  

Thus, there are 7 boxes can be stacked on top of each other inside the warehouse.

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Answer:

21, 834. 20 ($)

Step-by-step explanation:

A (1 + increase) ^n = N

Where N is future amount, A is initial amount, increase is percentage increase/decrease, n is number of mins/hours/days/months/years.

A = 7396, increase = 7% (0.07), n = 16.

7396 (1 + 0.07)^16

= 7396 (1.07)^16

= 21, 834. 20 ($)

Answer:

1. Turbine

2. Generator

3. Power line

No, the US and other countries shouldn't use more wind energy because the turbine could cause harm to animals that fly.

OR you can say:

Yes, the US and other countries should use more wind energy because it doesn't cause pollution, so no greenhouse gases are made to contribute to global warming.

You can choose either answer. I hope this helps you! ^-^

2-1. a) The shear stress τ is constant across the flow. b) The velocity is maximum at the center (r = 0) and decreases linearly as the radial distance increases. c)v_max = (P₁ - P₂) / (4μL) * \(R^{2}\) and v_avg = (1 / (π(\(R^{2} -a^{2}\)))) * ∫[a to R] v * 2πr dr 2-2.a) The shear stress is constant for parallel plates. b) The velocity profile shows that the velocity is maximum at the centerline and decreases parabolically .c)v_max = (P₁ - P₂) / (2μh) and v_avg = (1 / (2h)) * ∫[-h to h] v dr.

2-1. Flow in an annular region between concentric cylinders:

(a) Shear stress profile:

In an incompressible fluid flow between concentric cylinders, the shear stress τ varies with radial distance r. The shear stress profile can be obtained using the Navier-Stokes equation:

τ = μ(dv/dr)

where τ is the shear stress, μ is the dynamic viscosity, v is the velocity of the fluid, and r is the radial distance.

Since the flow is at steady state, the velocity profile is independent of time. Therefore, dv/dr = 0, and the shear stress τ is constant across the flow.

(b) Velocity profile:

To determine the velocity profile in the annular region, we can use the Hagen-Poiseuille equation for flow between concentric cylinders:

v = (P₁ - P₂) / (4μL) * (\(R^{2} -r^{2}\))

where v is the velocity of the fluid, P₁ and P₂ are the pressures at the outer and inner cylinders respectively, μ is the dynamic viscosity, L is the length of the cylinders, R is the outer radius, and r is the radial distance.

The velocity profile shows that the velocity is maximum at the center (r = 0) and decreases linearly as the radial distance increases, reaching zero at the outer cylinder (r = R).

(c) Maximum and average velocities:

The maximum velocity occurs at the center (r = 0) and is given by:

v_max = (P₁ - P₂) / (4μL) * \(R^{2}\)

The average velocity can be obtained by integrating the velocity profile and dividing by the cross-sectional area:

v_avg = (1 / (π(\(R^{2} -a^{2}\)))) * ∫[a to R] v * 2πr dr

where a is the inner radius of the annular region.

2-2. The flow between parallel plates:

(a) Shear stress profile:

For flow between very wide or broad parallel plates, the shear stress profile can be obtained using the Navier-Stokes equation as mentioned in problem 2-1. The shear stress τ is constant across the flow.

(b) Velocity profile:

The velocity profile for flow between parallel plates can be obtained using the Hagen-Poiseuille equation, modified for this geometry:

v = (P₁ - P₂) / (2μh) * (1 - (\(r^{2} /h^{2}\)))

where v is the velocity of the fluid, P₁ and P₂ are the pressures at the top and bottom plates respectively, μ is the dynamic viscosity, h is the distance between the plates, and r is the radial distance from the centerline.

The velocity profile shows that the velocity is maximum at the centerline (r = 0) and decreases parabolically as the radial distance increases, reaching zero at the plates (r = ±h).

(c) Maximum and average velocities:

The maximum velocity occurs at the centerline (r = 0) and is given by:

v_max = (P₁ - P₂) / (2μh)

The average velocity can be obtained by integrating the velocity profile and dividing by the distance between the plates:

v_avg = (1 / (2h)) * ∫[-h to h] v dr

These formulas can be used to calculate the shear stress profile, velocity profile, and maximum/average velocities for the given geometries.

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Answer:

Gross pay when she works 46 hours a week = 532 dollars per week

Step-by-step explanation:

Complete question

Find gross pay when she works 46 hours a week

Solution

For working hours less than or equal to 40 hours, kim earns 10.90  per hour

For working hours higher than the basic 40 hours of working, the per hour rate increases by 1.5 time = 1.5 *10.90 = 16 dollars per hour

Gross pay for 46 working hours = 40 *10.90 + 6*16 =  532 dollars per week

The standard normal distribution that represents the variable in the question indicates that we get;

a. The probability is about 0.42858

b. The probability that the average mpg of 3 randomly selected passenger cars is more than 32 mpg is 0.35197

c. The probability that all the three cars get more than 32 mpg is about0.0788

A standard normal distribution, also known as the Gaussian distribution, and the z-distribution, has a mean of 0, and a standard deviation of one.

a. The standard score (z-score) of 32 mpg can be obtained as follows;

z = (32 - 31.2)/4.5 ≈ 0.178

The probability that a standard normal variable has a z-score, larger than 0.178, obtained from the z-score table is therefore;

P(Z > 0.178) ≈ 1 - 0.57142 = 0.42858

b. The of the sample is μ = 31.2

The standard deviation of the sample is, σ = 4.5/√(3)

z = (x - μ)/(σ/√n)

Therefore;

z = (32 - 31.2)/(4.5/√(3)) ≈ 0.308

The probability that a standard normal variable has a z-score larger than 0.308, from the z-score table, therefore is; p(z > 0.308) = 1 - 0.64803 = 0.35197

c. The mpg ratings are independent, therefore, we get;

P(the three cars get more than 32 mpg) = P(car 1 gets more than 32 mpg) × P(car 2 gets more than 32 mpg) × P(car 3 gets more than 32 mpg)

The probability that a car gets more than 32 mpg is about 0.42858

Therefore;

P(the three cars get more than 32 mpg) = 0.42858 × 0.42858 × 0.4288 ≈ 0.0788

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Answer:

a = 3, b = 2

Step-by-step explanation:

It is given that both the polynomials are equal.

Therefore, h(x) = k(x)

\( {x}^{3} + (a + b) {x}^{2} - 4x + 2 \\ = {x}^{3} + 5 {x}^{2} - (2a - b)x + 2 \\ \\ equating \: like \: terms \: on \: both \: sides \\ (a + b) {x}^{2} = 5 {x}^{2} \\ \implies \: a + b = 5.....(1) \\ \\ - (2a - b)x = - 4x \\ 2a - b = 4....(2) \\ \\ adding \: equations \: (1) \: and \: (2) \\ \\ 3a = 9 \\ \implies \: a = \frac{9}{3} \\ \huge \red{ \boxed{\implies \: a = 3}} \\ \\ substituting \: a = 3 \: in \: equation \: (1) \\ 3 + b = 5 \\ \implies \: b = 5 - 3 \\ \huge \purple{ \boxed{ \implies b = 2}}\)

The car with the speed of 50 Km/h travels the fastest.

We have given with three choices for selecting the fastest speed from them. The three choices are

First choice is 50 Km/h.

Second Choice is  car b travels a distance of d kilometers in h hours, based on the equation 55 h = d , h, equals, d.. So from this be can conclude that this car is moving with the speed of (1/55)km/h.

Third choice is  car c travels 135 kilometers in 3 hours. So from this be can conclude that this car is moving with the speed of (135/3) Km/h i.e., 45 Km/h.

So, from the given choices we can conclude that the car with the speed of 50 Km/h travels the fastest.

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The counterexample is a = 2 and b = -2. In this case, a^4 = 2^4 = 16 and b^4 = (-2)^4 = 16, but a does not equal b.

The statement claims that if a^4 = b^4, then a = b for all real numbers a and b. However, this statement is false, as demonstrated by the counterexample a = 2 and b = -2.

When we substitute these values into the equation, we have (2)^4 = 16 and (-2)^4 = 16. Both sides of the equation yield the same result, but a and b are not equal (2 ≠ -2).

This counterexample disproves the original statement by providing a specific case where a^4 equals b^4, but a does not equal b.

The statement "For all real numbers a and b, if a^4 = b^4 then a = b" is false. The counterexample a = 2 and b = -2 demonstrates that there exist real numbers for which a^4 equals b^4, but a does not equal b. This shows that the equality of a^4 and b^4 does not imply that a and b are equal.

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