Which of the following is true about the expression 7 + V3?

you multiply x by y and then multiply 5 to the power of 67 to then come to an answer of 500000000000x

Answer:

5/8

Step-by-step explanation:

10 * 2^-4 = 10 * 1/16 = 10/16 = 5/8

\({\large{\underline{\underline{\bf{\purple{Question \: : - }}}}}}\)

\({\underline{\underline{\sf{\red{Prove \: That :-}}}}}\)

\( \begin{gathered} \dashrightarrow{\sf{\sqrt{\dfrac{\sqrt{3} - \sqrt{2}}{\sqrt{3} + \sqrt{2}}} = 0.318}} \end{gathered}\)

\(\small{\underline{\underline{\sf{\red{Where :-}}}}}\)

\(\bf{\green{\sqrt{3}}}\) = 1.732

\(\bf{\green{\sqrt{2}}}\) = 1.414

\(\begin{gathered}\end{gathered}\)

\(\large{\underline{\underline{\bf{\purple{Solution \: : - }}}}}\)

\(\begin{gathered} \dashrightarrow{\sf{\sqrt{\dfrac{\sqrt{3} - \sqrt{2}}{\sqrt{3} + \sqrt{2}}} = 0.318}} \end{gathered}\)

\(\begin{gathered}\end{gathered}\)

\(\red \divideontimes\) Here, we have provided that 3 = 1.732 and 2 = 1.414. So, we put the given values in equation.

\(\begin{gathered}\end{gathered}\)

\(\begin{gathered} \dashrightarrow{\sf{\sqrt{\dfrac{\sqrt{3} - \sqrt{2}}{\sqrt{3} + \sqrt{2}}} = 0.318}} \end{gathered}\)

\(\begin{gathered}\end{gathered}\)

\(\begin{gathered} \dashrightarrow{\sf{\sqrt{\dfrac{1.732 - 1.414}{{1.732 + 1.414}}} = 0.318}} \end{gathered}\)

\(\begin{gathered}\end{gathered}\)

\(\begin{gathered} \dashrightarrow{\sf{\sqrt{\dfrac{0.318}{3.146}} = 0.318}} \end{gathered}\)

\(\begin{gathered}\end{gathered}\)

\(\begin{gathered} \dashrightarrow{\sf{\sqrt{\cancel{\dfrac{0.318}{3.146}}} = 0.318}} \end{gathered}\)

\(\begin{gathered}\end{gathered}\)

\(\begin{gathered} \dashrightarrow{\sf{ \sqrt{0.101} = 0.318}} \end{gathered}\)

\(\begin{gathered}\end{gathered}\)

\(\begin{gathered} \dashrightarrow{\sf{0.318 = 0.318}} \end{gathered}\)

\(\begin{gathered}\end{gathered}\)

\(\begin{gathered} \dashrightarrow{\underline{\underline{\sf{ \red{LHS = RHS }}}}} \end{gathered}\)

\(\begin{gathered}\end{gathered}\)

\({\bigstar{\overline{\underline{\boxed{\textsf{\textbf{\green{Hence Proved !}}}}}}}}\)

Answer: 7

Step-by-step explanation:

-1/3(-9) +4 = 7

The volume of the solid can be found by using the general slicing method which involves slicing the solid into multiple thin slices, computing the volume of each slice.

The general slicing method can be used to find the volume of the solid with a semicircular base of radius 9 whose cross section is a triangle. This method involves slicing the solid into multiple thin slices, computing the volume of each slice, and then summing up the volumes of all the slices. To find the volume of each slice, we first need to determine the area of the cross-section for each slice. The area of the cross-section can be found by multiplying the base of the triangle by its height. For each slice, the base of the triangle is equal to 2πr/N, where r is the radius of the semicircle and N is the number of slices. The height of the triangle is equal to the thickness of each slice. Once the area of the cross-section is calculated, we can find the volume of each slice by multiplying the area by the thickness of the slice. Finally, the volume of the solid is equal to the sum of the volumes of all the slices.

Learn more about volume here

https://brainly.com/question/28338582

#SPJ4

The relation is not symmetric because the value (0,1) is not a subset of (1,0) in the set and, the relation is not transitive because no number completes the set for transitivity.

Relation R1:

The relation R1 is a reflexive relation, which is a symmetric relation but not a transitive relation. It is a subset of the identity relation.

Relation R2:

The relation R2 is a reflexive relation, which is a symmetric and not transitive relation. It is a subset of R1.

Relation R3:

R3 is a reflexive relation, which is neither a symmetric nor a transitive relation.

Conclusion:

1. R is false.

2. Rz is true.

3. R4 is false.

4. Rz is false.

5. R2 is true.

6. R3 is false.

7. R2 is false.

8. R is true.

9. R2 is false.

10. Rz is true.

11. R is true.

12. R1 is true.

Since all the values have an identity with themselves, the relation is reflexive. But the relation is not symmetric because the value (0,1) is not a subset of (1,0) in the set and the relation is not transitive because no number completes the set for transitivity.

To know more about the transitive relation, visit:

brainly.com/question/30105705

#SPJ11

Answer:

0.45

Step-by-step explanation:

You divided 2.25 by 5

The best least squares approximation to\(x^{1/3\)on [-1,1] by a linear function l(x) = c_1 1 + c_2 x is given by: \(l(x) = (2/5)^{(3/2)\)

To show that 1 and x are orthogonal, we need to show that their inner product is zero:

\((1, x) = \int^1_1 1\times x dx = [x^{2/2}]^{1_1 }= 0\)

Therefore, 1 and x are orthogonal.

To compute ||1||, we use the norm formula:

\(||1|| = (1, 1)^{1/2 }= \int^1_1 1\times 1 dx = [x]^1_1 = 0\)

Similarly, to compute ||x||, we use the norm formula:

\(||x|| = (x, x)^1/2 = \int^1_1 x\times x dx = [x^3/3]^1_1 = 2/3\)

To find the best least squares approximation to\(x^{1/3\) on [-1,1] by a linear function l(x) = c_1 1 + c_2 x, we need to minimize the squared error:

\(||x^{1/3 }- l(x)||^2 = \int^1_-1 (x^1/3 - c_1 - c_2 x)^2 dx\)

Taking partial derivatives with respect to c_1 and c_2 and setting them to zero, we get the normal equations:

\(c_1 = (2/5)^{(3/2)} and c_2 = 0\)

for such more question on squares

https://brainly.com/question/25092270

#SPJ11

Answer:

Step-by-step explanation:

multiply both expressions

(8x - 2)(4)

32x - 8

simplify

32x = 8 4 ( 2 2 2 2 2 2)

-8 = 8 -1

8(4x - 1)

hope this helps

The four step to graphing the linear inequalities are: Always begin by separating the variable y from the inequality's left side, Replace the inequality symbol with the equality symbol, In XY plane, graph the boundary line from step 2, The final step is to shade a portion or one side of the border line.

In the given question we have to explain the 4 steps in graphing linear inequalities.

Step 1: Always begin by separating the variable y from the inequality's left side.

Step 2: Replace the inequality symbol with the equality symbol.

Step 3: In XY plane, graph the boundary line from step 2.

Step 4: The final step is to shade a portion or one side of the border line.

To learn more about linear inequalities link is here:

brainly.com/question/11897796

#SPJ4

Three types of rigid transformations are Reflection, Rotation, and Translation. Rigid transformation, also called isometry.

A rigid transformation, also called isometry,  is a transformation that doesn't change the size or shape of a geometric figure. The following are 3 types of rigid transformation:

1. Reflection

→  is the act of shifting an object's coordinates that flip it across a line without changing its shape or size. Horizontal (draw a figure to the left or right) or vertical (draw a figure to the up or down) reflections are possible. The result of reflection is a mirror image of the figure itself.  

The figure is reflected across \(x-\) or \(y-\) axis, and then change \(x-\) or \(y-\) coordinate.

2. Rotation

→ is the non-modification of an object's size or shape by rotating it around an fixed point. A center of rotation is required to rotate an object. And the rotation did by using a degree.

The figure is rotated by a degree (ex: 90°), and then change \(x-\) or \(y-\) coordinate. Meanwhile, a point's center rotation stays at the same.

3. Translation

→ is sliding a figure in any direction without changing its size, shape, or orientation. Translation could be horizontal (make a figure left or right),  or vertical reflections (make a figure up or down).

Vertical translation is shifting the graph along  \(y-\) axis

Horizontal translation is shifting the graph along  \(x-\) axis.

Here to learn more about Rigid Transformation:

https://brainly.com/question/1462871

#SPJ4

a) The amount of water in the pool after 2 hours can be calculated using the equation.

Water in pool = 10L/hour × 2 hours = 20L.

b) The pool will be 80L when the equation is satisfied: 80L = 10L/hour × Time.

Solving for Time, we find Time = 8 hours.

c) Part b) is linear.

a) To calculate the amount of water in the pool after 2 hours, we can use the equation:

Water in pool = Water filling rate × Time

Since the pool gets filled up with 10L of water per hour, we can substitute the values:

Water in pool = 10 L/hour × 2 hours = 20L

Therefore, after 2 hours, there will be 20 liters of water in the pool.

b) To determine the number of hours it takes for the pool to reach 80 liters, we can set up the equation:

Water in pool = Water filling rate × Time

We want the water in the pool to be 80 liters, so the equation becomes:

80L = 10 L/hour × Time

Dividing both sides by 10 L/hour, we get:

Time = 80L / 10 L/hour = 8 hours

Therefore, it will take 8 hours for the pool to contain 80 liters of water.

c) Part b) is linear.

The equation Water in pool = Water filling rate × Time represents a linear relationship because the amount of water in the pool increases linearly with respect to time.

Each hour, the pool fills up with a constant rate of 10 liters, leading to a proportional increase in the total volume of water in the pool.

For similar question on amount.

https://brainly.com/question/25720319  

#SPJ8

Car insurance companies want to keep track of the average cost per claim. The current data in use for Auto Insurance R Us is an average of $2,200 for each claim with a standard deviation of $500. With this average, the company can stay competitive with rates but not lose money. However, the statistician for the company believes that the cost of the average claim has increased. He pulled 40 recent claims and found the average to be $2,350. Which most restrictive level of significance would suggest that the company should raise rates? Upper-Tail Values a 5% 2. 5% 1% Critical z-values 1. 65 1. 96 2. 58 1% 2. 5% 5% 10%.

Answer:

4 1/12

Step-by-step explanation:

5-1 and 11/12

5-1=4

4-11/12=4 and 1/12

Step-by-step explanation:

-4 + 2 + 4f = 8 - 3f

-2+4f=8-3f

7f=10

f=10/7

Step-by-step explanation:

\( - 4 + 2 + 4f = 8 - 3f \\ - 2 + 4f = 8 - 3f \\ - 4f - 3f = - 2 - 8 \\ \frac{ - 7f }{ - 7} = \frac{ - 10}{ - 7} \\ f = \frac{10}{7} \)

The relationship between the angle of depression and the distance between the dock and anchor is θ = cos⁻¹(172/q)

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let θ represent the angle of depression and q the distance between the end of the dock and the anchor, hence:

cosθ = 172 / q

θ = cos⁻¹(172/q)

when q = 205 m, θ = cos⁻¹(172/205) = 33⁰

Find out more on Trigonometric ratio at: https://brainly.com/question/4326804

Subtract to find the weight she gained since birth.

32 - 8 = 24

Divide to see how many years passed.

24 / 4 = 6

Therefore, Darrel's baby sister is 6 years old.

Best of Luck!

\( \huge \fbox \colorbox{orange}{Answer:-}\)

Democracy is the form of government where people have the right to choose their representatives through the process of election.

Answer:

A democracy means rule by the people. The name is used for different forms of government, where the people can take part in the decisions that affect the way their community is run. The people elect their leaders. These leaders take this decision about laws. This is commonly called representative democracy.

Answer:

Four squared equals 16

Step-by-step explanation:

Answer:

4\( \sf {}^{2}\) = 16.

Step-by-step explanation:

Finding the Square of a Number is a simple method. We need to multiply the given number by itself to find its square number. The square term is always represented by a number raised to the power of 2. The square of 4 is 4 multiplied by 4, i.e., 4×4 = 4\( \sf {}^{2}\) = 16.

The probablity that the sample's mean length is greate than 6.3 inches is0.8446.

Given mean of 6.5 inches,standard deviation of 0.5 inches and sample size of 46.

We have to calculate the probability that the sample's mean length is greater than 6.3 inches is 0.8446.

Probability is the likeliness of happening an event. It lies between 0 and 1.

Probability is the number of items divided by the total number of items.

We have to use z statistic in this question because the sample size is greater than 30.

μ=6.5

σ=0.5

n=46

z=X-μ/σ

where μ is mean and

σ is standard deviation.

First we have to find the p value from 6.3 to 6.5 and then we have to add 0.5 to it to find the required probability.

z=6.3-6.5/0.5

=-0.2/0.5

=-0.4

p value from z table is 0.3446

Probability that the mean length is greater than 6.3inches is 0.3446+0.5=0.8446.

Hence the probability that the mean length is greater than 6.3 inches is 0.8446.

Learn more about probability at https://brainly.com/question/24756209

#SPJ4

The differential equation for the situation is dy/dt = -10y/2000, where y represents the number of kg of salt in the tank after t minutes. The initial condition is y(0) = 100 kg.

To determine the differential equation for the situation described, we need to consider the rate of change of the amount of salt in the tank with respect to time.

Let's break down the different components affecting the rate of change:

1. Pure water enters the tank at a rate of 8 L/min. Since the incoming water is pure, it does not contribute any additional salt to the tank.

2. The solution is mixed, which means the concentration of salt in the tank remains constant throughout the mixing process.

3. The solution drains from the tank at a rate of 10 L/min. As the solution drains, it carries away a certain amount of salt from the tank.

Based on these factors, we can write the differential equation as follows:

dy/dt = -10y/2000

The negative sign indicates that the amount of salt in the tank decreases over time due to the draining process.

The term -10y represents the rate at which the salt is being drained, which is proportional to the amount of salt in the tank, y. The denominator, 2000, represents the volume of the solution in liters.

Additionally, we need to consider the initial condition. The given initial condition states that y(0) = 100 kg, which means the initial amount of salt in the tank is 100 kg.

Therefore, the differential equation for this situation is:

dy/dt = -10y/2000

with the initial condition:

y(0) = 100 kg.

To know more about differential equation refer here:

https://brainly.com/question/32645495#

#SPJ11

The rotated equation for the given function is 6\(y^2\) + 4√3xy + 2\(x^2\) - 4y + 4√x = 0.

To eliminate the xy-term in the equation 6\(x^2\) - 4√3xy + 2\(y^2\) + 4x + 4√y = 0, we can perform a rotation of axes.

Let's assume that the new coordinates after the rotation are \(x_2\) and \(y_2\). To eliminate the xy-term, we need to choose an angle of rotation that satisfies the equation:

tan(2θ) = -2√3

To find θ, we can solve for it using the inverse tangent function:

2θ = atan(-2√3)

θ = atan(-2√3) / 2

Once we have the angle of rotation \(\alpha\), we can perform the rotation by substituting the following expressions:

x = \(x_2\)cos\(\alpha\) - \(y_2\)sin\(\alpha\)

y = \(x_2\)sin\(\alpha\) + \(y_2\)cos\(\alpha\)

Now, let's substitute these expressions into the original equation and simplify:

6\((x_2cos(\alpha ) - y_2sin(\alpha ))^2\) - 4√3(\(x_2\)cos\(\alpha\) - \(y_2\)sin\(\alpha\) )(\(x_2\)sin\(\alpha\) + \(y_2\)cos\(\alpha\) )

2\((x_2sin(\alpha ) + y_2cos(\alpha ))^2\) + 4(\(x_2\)cos\(\alpha\) - \(y_2\)sin\(\alpha\) ) + 4√(\(x_2\)sin\(\alpha\) + \(y_2\)cos\(\alpha\) ) = 0

Expanding and combining like terms, we have:

6\(x_2^2\)\(cos^2\alpha\) - 12\(x_2\)\(y_2\)cos\(\alpha\) sin\(\alpha\)  + 6\(y_2^2\)\(sin^2\alpha\)

4√3\(x_2^2\)cos\(\alpha\) sin\(\alpha\) - 4√3\(y_2^2\)cos\(\alpha\) sin\(\alpha\)

2\(x_2^2\)\(sin^2\alpha\) + 4\(x_2\)\(y_2\)cos\(\alpha\) sin\(\alpha\)  + 2\(y_2^2\)\(cos^2\alpha\)

4\(x_2\)cos\(\alpha\)  - 4\(y_2\)sin\(\alpha\) + 4√(\(x_2\)sin\(\alpha\)  + \(y_2\)cos\(\alpha\) ) = 0

Next, we need to choose \(\alpha\)  such that the coefficients of the cross terms (\(x_2y_2\) terms) become zero. In this case, the coefficient of \(x_2y_2\) is:

-12cos\(\alpha\) sin\(\alpha\) - 4√3cos\(\alpha\) sin\(\alpha\)

We set this equal to zero and solve for \(\alpha\) :

-12cos\(\alpha\) sin\(\alpha\) - 4√3cos\(\alpha\) sin\(\alpha\) = 0

-16cos\(\alpha\) sin\(\alpha\) = 0

cos\(\alpha\) sin\(\alpha\) = 0

This equation holds true for two cases:

cos\(\alpha\) = 0, which gives \(\alpha\) = π/2

sin\(\alpha\) = 0, which gives \(\alpha\) = 0

So, we have two possible angles of rotation: θ = 0 and θ = π/2.

Now, let's analyze both cases:

Case 1: θ = 0

If θ = 0, then the new coordinates become \(x_2\) = x and \(y_2\) = y.

Substituting this back into the original equation, we get:

6\(x^2\) - 4√3xy + 2\(y^2\) + 4x + 4√y = 0

This is the original equation without the xy-term, so no further rotation is necessary.

Case 2: θ = π/2

If θ = π/2, then the new coordinates become \(x_2\) = -y and \(y_2\) = x.

Substituting this into the original equation, we get:

6\((-y)^2\) - 4√3(-y)(x) + 2\((x)^2\) + 4(-y) + 4√(x) = 0

Simplifying, we have:

6\(y^2\) + 4√3xy + 2\(x^2\) - 4y + 4√x = 0

This is the rotated equation with the xy-term eliminated.

To summarize:

After performing the rotation of axes, we have two possible cases:

θ = 0: No further rotation is needed.

θ = π/2: The rotated equation is 6\(y_2\) + 4√3xy + 2\(x^2\) - 4y + 4√x = 0.

To learn more about function here:

https://brainly.com/question/32599072

#SPJ4

Answer:

5,700

Step-by-step explanation:

Let

x = total cost of the fan

The entrepreneur incurred 20% on the cost price

Selling price = 4560

Therefore, The selling price = 80% of the total cost of the fan

4560 = 80% of x

4560 = 80/100 * x

4560 = 0.8 * x

4560 = 0.8x

x = 4560/0.8

x = 5,700

x = total cost of the fan = 5,700

Answer:

to help businesses create viable exports

Step-by-step explanation:

The purpose of the US International Trade Association is to help businesses create viable exports and help countries establish free trade.

The US International Trade Association is the organisation that ensures fair trade and compliance with trade laws and agreements in the United States.

The main purpose of US International Trade Association include the following:

Therefore, the purpose of the US International Trade Association is to help businesses create viable exports and help countries establish free trade.

Learn more about Trade associations here:

https://brainly.com/question/8882762

Based on the calculations, the volume of this pyramid is equal to 1440 cm³.

Given the following data:

Length of right triangular base = 9 centimeters and 15 centimeters.

Height of right triangular base = 32 centimeters.

Mathematically, the volume of a pyramid can be calculated by using this formula:

Volume = 1/3 × b × h

Where:

h is the height of a pyramid.

b is the base area of a pyramid.

Substituting the parameters into the formula, we have:

Volume = 1/3 × 9 × 15 × 32

Volume = 3 × 15 × 32

Volume of pyramid = 1440 cm³.

Read more on pyramid here: brainly.com/question/16315790

#SPJ4

Answer:

490.0...

Step-by-step explanation:

4.9 x 10^2

(squared)

4.9 x 10 x 10

the easiest way to do this is to move the decimal 2 places to the right, as

10 x 10 = 100

4.9 x 100 = 490.0...

Answer:

10

Step-by-step explanation:

10

Total 504 three digit numbers can be formed if no digit appear twice

What is Permutation?

The term permutation refers to a mathematical computation of the number of possible arrangements of a given collection. Simply said, a permutation is a term that defines the amount of different ways something may be organised or arranged. The order of the arrangement is important in permutations.

Solution:

Total Numer of Digits = 9

Number of Characters in the number = 3

Total Numbers = 9P3 = 9! / 6!

9P3 = 504

Total 504 three digit numbers can be formed

To learn more about Permutation from the given link

https://brainly.com/question/1216161

#SPJ4