45+23 div 2 times 2
IQ level 200

Answer:

1 Inch

(Sorry for this, there wasn't enough letters in my answer)

Answer:  See the image below.

¬ Vx(Fx → Gx) v 3xFx ⊢ Fx → Gx [1-5, Modus Ponens]

i. ∃x(Fx & Gx) ⊢ ∃xFx & ∃xGx (5 marks)

Proof:

1. ∃x(Fx & Gx) [Premise]

2. Fx & Gx [∃-Elimination, 1]

3. ∃xFx [∃-Introduction, 2]

4. ∃xGx [∃-Introduction, 2]

5. ∃xFx & ∃xGx [Conjunction Introduction, 3 and 4]

6. ∃x(Fx & Gx) ⊢ ∃xFx & ∃xGx [1-5, Modus Ponens]

ii. ¬ 3x(Px v Qx) ⊢ Vx ¬ Px (5 marks)

Proof:

1. ¬ 3x(Px v Qx) [Premise]

2. ¬ Px v ¬ Qx [DeMorgan’s Law, 1]

3. Vx ¬ Px [∀-Introduction, 2]

4. ¬ 3x(Px v Qx) ⊢ Vx ¬ Px [1-3, Modus Ponens]

iii. ¬ Vx(Fx → Gx) v 3xFx (10 marks; Hint: To derive this theorem use RA.)

Proof:

1. ¬ Vx(Fx → Gx) v 3xFx [Premise]

2. (¬ Vx(Fx → Gx) v 3xFx) → (¬ Vx(Fx → Gx) v Fx) [Implication Introduction]

3. ¬ Vx(Fx → Gx) v Fx [Resolution, 1, 2]

4. (¬ Vx(Fx → Gx) v Fx) → (Fx → Gx) [Implication Introduction]

5. Fx → Gx [Resolution, 3, 4]

6. ¬ Vx(Fx → Gx) v 3xFx ⊢ Fx → Gx [1-5, Modus Ponens]

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Answer:256

Step-by-step explanation:

do \(2^{^{4\cdot \:2}}\)

which equals \(2^{8}\)

so your answer would be 256

mark me as brainliest pls :)

Answer:

where is the picture

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

beacsue it is .66 repeated

If 150 is the 15%, to find which number is the 100% we use the rule of 3

and the rule say that:

Answer:

$0.50

Step-by-step explanation:

We know

A package of 8 hot dogs is on sale for $4

What is the price per hot dog?

4 / 8 = $0.50

So, the price per hot dog is $0.50

The statement "Tool life (T) is proportional to the strain hardening coefficient (n) of the cutting tool" is true.

In metal cutting operations, tool life refers to the duration or number of workpieces that can be machined before a cutting tool becomes ineffective and needs to be replaced or reconditioned. The tool life is influenced by various factors, including the properties of the cutting tool material, cutting conditions, and the workpiece material.

The strain hardening coefficient (n) is a material property that describes the extent to which a material hardens and strengthens when subjected to plastic deformation. It is often quantified using the strain-hardening exponent in the Hollomon equation:

\(\sigma = K \cdot \varepsilon^n\)

where \(\sigma\) is the true stress, \(\varepsilon\) is the true strain, \(K\) is the strength coefficient, and \(n\) is the strain hardening exponent.

In metal cutting, the cutting tool undergoes severe plastic deformation due to the high stresses and strains involved in the cutting process. The strain hardening coefficient (n) of the cutting tool material plays a crucial role in determining its resistance to deformation and wear.

A higher strain hardening coefficient (n) indicates a material that exhibits greater resistance to plastic deformation and wear. Therefore, a cutting tool with a higher strain hardening coefficient (n) is expected to have a longer tool life compared to a cutting tool with a lower strain hardening coefficient.

The shear angle in metal cutting, on the other hand, is not an independent variable but rather a dependent variable that is influenced by various factors such as cutting conditions, tool geometry, and material properties. The shear angle represents the angle between the direction of the cutting force and the direction of the shear plane in metal cutting.

To summarize, the statement "Tool life (T) is proportional to the strain hardening coefficient (n) of the cutting tool" is true, as a higher strain hardening coefficient indicates greater resistance to plastic deformation and wear, leading to an extended tool life. However, the statement "Shear angle in metal cutting is an independent variable" is false, as the shear angle is dependent on various factors involved in the metal cutting process.

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Step-by-step explanation:

1. N2 + 3H2 → 2NH3

How many moles of NH3 could you make with 4.2021 g of N2?

From the reaction;

1 mol of N2 produces 2 mol of NH3

1 mol of N2 = 14g of N2

14g of N2 produces 2 mol of NH3

4.2021 g of N2 produces x mol of NH3

14 = 2

4.2021 = x

x = 4.2021  * 2 / 14 = 0.6003 mol of NH3

2. 2Na + Cl2 → 2NaCl

How many moles of Cl2 do you need to use in order to react with 34.485 g of Na?

From the equation of the reaction;

2 mol of Na reacts with 1 mol of Cl2

1 mol of Na = 23g of Na

2 mol of Na - 46g of Na

46g of Na reacts with 1 mol of Cl2

4.485 g of Na reacts with x mol of Cl2

46 = 1

4.485 = x

x = 4.485 * 1 / 46 = 0.0975 mol of Cl2

3. H2SO4 + 2NaNO2 → 2HNO2 + Na2SO4

How many grams of NaNO2 do you need in order to make 24.14714 g of Na2SO4?

From the reaction;

2 mol of NaNO2 produces 1 mol of Na2SO4

2 mol of NaNO2 = 68.995 g/mol * 2mol = 137.99g

1 mol of Na2SO4 = 142.04 g

137.99g of NaNO2 produces 142.04 g of Na2SO4

xg of NaNO2 produces 24.14714 g of Na2SO4?

137.99 = 142.04

x = 24.14714

x = 24.14714 * 137.99 / 142.04 = 23.459g

4. 2Na + 2H2O → 2NaOH + H2

How many grams of NaOH could you make with 8.0465 g of Na?

From the reaction;

2 mol of Na produces 2 mol of NaOH

2 mol of Na = 23g/mol * 2mol = 46g

2 mol of NaOH = 40g/mol * 2 = 80g

46 g of Na produces 80g of NaOH

8.0465 g of Na produces xg of NaOH

46 = 80

8.0465 = x

x = 8.0465 * 80 / 46 = 13.994g

5. 2Mg + O2 → 2MgO  

If you are burning 5.8332 g of Mg, how many grams of MgO will this make?

From the reaction;

2 mol of Mg produces 2 mol of MgO

2 mol of Mg = 24 g/mol * 2mol = 48g

2 mol of MgO = 40.3 g/mol  * 2mol = 80.6g

48g of Mg produces 80.6 g  of MgO

5.8332 g of Mg produces xg of MgO

48 = 80.6

5.8332 = x

x = 5.8332 * 80.6 / 48   = 9.8g

6. FeCl3 + 3NaOH → Fe(OH)3 + 3NaCl

How many grams of NaCl could you make with 2.43306 g of FeCl3?

From the reaction;

1 mol of FeCl3 produces 3 mol of NaCl

1 mol of FeCl3 = 162.2 g

3 mol of NaCl = 58.44 g/mol * 3 mol = 175.32 g

162.2g of FeCl3 produces 175.32 g of NaCl

2.43306 g of FeCl3 produces xg of NaCl

162.2 = 175.32

2.43306 = x

x = 2.43306 * 175.32 / 162.2 = 2.63g

Answer:

  A, D

Step-by-step explanation:

The independent variable is plotted on the x-axis. It is labeled "number of cans". The dependent variable is plotted on the y-axis. It is labeled "number of tennis balls". Then each ordered pair is ...

  (independent variable, dependent variable) = (cans, balls)

Then the point (2, 6) corresponds to (2 cans, 6 balls).

The applicable descriptive statements are ...

  A.  2 cans contain 6 tennis balls

  D.  There are 6 tennis balls in 2 cans

Answer: 100km/hr

Step-by-step explanation:

From the question, we are told that Zia was driving his truck on the super highway and his speed was recorded by the motorway camera between 6:00am to 8:30am and that he covered a distance of 250km during this time.

Average speed is calculated as distance taken divided by the time used. The time used in this question will be: 8.30am - 6:00am = 2.5 hours.

Speed = Distance/Time

= 250/2.5

= 100km/hour

Answer:

1/6

Step-by-step explanation:

1/3×2/4 = 2/12

2/12 = 1/6

Answer:

No correct answer

Step-by-step explanation:

height = volume/ area

height= 69/36= 1.667in

5 in.

I just did this one, and this was the answer.

Answer:

4 1/8

Step-by-step explanation:

subtracting a whole number with a fraction just means I have to change one of the numbers so they match with the other.

meaning I should change the whole number 5 to a fraction.

I will use the bottom number to figure out what the fraction in the whole number should look like.

5 = 5/1

I want the bottom number to be 8 like the other fraction 7/8

I multiply the top and bottom number of 5/1 by 8, giving me

40/8

now I subtract 40/8-7/8 = 33/8 or 4 and 1/8

Answer:

10. y=-3/4 x+ 6

11. y= 8/3 x -16

Step-by-step explanation:

10. 3x+4y=24

4y=-3x+24

\(y=\frac{-3}{4}x +6\)

11. 8x=48+3y

8x-48=3y

\(y=\frac{8}{3} x-16\)

Answer:

5) a) x=55

Step-by-step explanation:

x=55

2x + 15 = 110 + 15

=125

Answer:

(2xye^x²  -  2xy³) / (5y^4  + 3y²x² - e^x²)

Step-by-step explanation:

differentiate each term:

d/dx (y^5) + d/dx (x² y³) = d/dx (1) + d/dx (ye^x²)

any time y is differentiated, make sure to include dy/dx:

5y^4 dy/dx  +  2xy³ + 3y²x² dy/dx  = 0 + e^x² dy/dx + 2xye^x²

collect terms with dy/dx:

dy/dx (5y^4 + 3y²x² - e^x²)  =  2xye^x² - 2xy³

divide both sides  by  (5y^4 + 3y²x² - e^x²):

dy/dx = (2xye^x²  -  2xy³) / (5y^4  + 3y²x² - e^x²)

Answer:

y = 17/6 x - 40/3

Step-by-step explanation:

Slope-intercept form: y = mx + b

First, let's find the slope:

slope formula: (y2-y1) divded by (x2-x1)

(4, -2) and (8, -9)

(-9 - 8) divded by (-2 - 4) = 17/6

We found m, now we have to find b.

The new equation: y = 17/6 x + b

Insert any of the two points, in this case, I'll insert (4, -2)

-2 = 17/6 (4) + b

-2 = 68/6 + b

b = -2 - 68/6

b = -40/3

Overall equation: y = 17/6 x - 40/3

The probability that a randomly selected person is male given the person is left-handed is 13/200.

Option A is the correct answer.

We have,

Number of total people.

= 87 + 13 + 89 + 11

= 200

Now,

The number of males who is left-handed.

=  13

Now,

The probability that a randomly selected person is male given the person is left-handed.

= 13/200

Thus,

The probability that a randomly selected person is male given the person is left-handed is 13/200.

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Solution:

Given:

From the image,

Paragraph proof:

Prove:

x = 15

To use the quadratic formula, we need to identify the values of a, b, and c.

1. In this case, the equation is 4x² - 3x - 8 = 0, so a = 4, b = -3, and c = -8.

2. x = (-b ±√(b² - 4ac))/2a.

3.  x = (3 ±√137)/8.

The Quadratic Formula is a mathematical equation used to solve second-degree equations.

To use the quadratic formula, we need to identify the values of a, b, and c in the equation ax² + bx + c = 0.

In this case, the equation is

4x² - 3x - 8 = 0,

so a = 4, b = -3, and c = -8.

Once the values of a, b, and c are known, we can substitute them into the Quadratic Formula:

x = (-b ±√(b² - 4ac))/2a.

In this equation, a = 4, b = -3, and c = -8, so the equation becomes

x = (-(-3) ±√((-3)² - 4(4)(-8)))/2(4).

Simplifying, we get x = (3 ±√(9 + 128))/8.

Finally, solving for x yields x = (3 ±√137)/8.

Therefore, the solution to the equation is

x = (3 ±√137)/8.

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Answer: A, C, F

Step-by-step explanation:

Answer:

44cm

Step-by-step explanation:

Since, diameter d=14cm

C=πd= 22/7 ×14= 44cm

Answer:

degree 3  zeros -1 and 1

Step-by-step explanation:

This is a third degree polynomial

f(x)=(x-1)^2(x+1)

It has an x^2 from the first term and an x from the second term for x^3

The zeros are x-1 =0  which means x=1

x+1 = 0  x=-1

Answer:

Step-by-step explanation:

(x-1)²(x+1) = x³-2x²+x+x²-2x+1

                 = x³-x²-x+1

                 = x²(x-1)-x+1

                 = x²(x-1)-(x-1)

                 = (x²-1) (x-1)

Answer:

80°=x°[by alternate exterior angle]

Answer:

x = 80⁰

Step-by-step explanation:

Because x is an alternate exterior angle.

all alternate exterior angles are equal to each other.

The option c is correct. The next step she will do multiply the numerator and denominators and then simplify.Then she will solve all equation and find result.

An equation which has an unknown in the denominator of one or more terms.They often have variables in the numerator as well.since fractions can be in the ratios.We can recognize fraction by slash that is written between numbers and variables.

An expression is a combination of symbols that are formed in accordance with dependent rule.In math, expression consist of at least two numbers or variables and at least one arithmetic operation.it is possible to multiply,divide,subtract and add.

Now we solve given problem

1/x^2 - 2/y divide y-2x^2

step 1; y/x^2y - 2x^2/x^2y divide y-2x^2

step2;y-2x^2/x^2y divide y-2x^2

step 3; y-2x^2/x^2y divide y-2x^2

Next step she would be multiply the numerators and denominators.

so we have

y-2x^2/ (x^2y)(y-2x^2)

since y-2x^2 is common in the numerator and denominator. so it divides itself.thus resulr will be 1/ x^2y

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The correct value of the expression is 9 and to evaluate correctly the multiplication of 2 and 0 that 2(0) must be written 0.

An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.

The constraint of expression is represented as = or <, >.

Given the expression,

x² - 2(x - 3) when x = 3

⇒ x² - 2(x - 3)

⇒ 3² - 2(3 - 3)

⇒ 3² - 2(0)

⇒ 9 - 0

⇒ 9.

Hence "The correct value of the expression is 9".

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The given question is an incomplete complete question shown below in the image ;

The mean IQ score in the population is approximately 98, and the standard deviation is approximately 16.

Let μ = mean and σ = standard deviation of IQ scores in population.

Then we can write the two equations as :

⇒ P(X ≤ 80) = 0.13    ...equation(1)

⇒ P(X ≥ 128) = 0.03   ...equation(2)

we standardize the data by using the formula:

⇒ Z = (X - μ)/σ,

Where Z = standard normal variable.

Using the standard normal distribution, we know that P(Z ≤ -1.126) = 0.13,

So, -1.126 = (80 - μ)/σ   .....equation(3),

and we know that P(Z ≥ 1.881) = 0.03.

So, 1.88 = (128 - μ)/σ     ...equation(4),

⇒ μ = 128 - 1.881σ,

Solving equation(3) and equation(4),

We get,

⇒ σ ≈ 16.

Substituting σ = 16 into the equation(4),

We get,

⇒ μ = 128 - 1.881×16,

⇒ μ = 98.

Therefore, the mean IQ score = 98, and standard deviation is = 16.

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