Quick, What is the value of x?

A. 2
B. 3
C. 6
D. 7

Answer:

Step-by-step explanation:

It is not a function

The 4 in the domain is used more than once

The value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

According to the given question.

We have an equation

2x + 2/y = 4w + 2

Since, we have to find the value of x for the given equation

2x + 2/y = 4w + 2

Thereofore,

2x + 2/y = 4w + 2

⇒ 2(x + 1)/y = 2(2w + 1)    (taking 2 common from both the sides)

⇒ (x + 1)/y = 2w + 1

⇒ (x + 1) = y(2w + 1)         (multiplying both the sides by y)

⇒ x + 1 = 2yw + y

⇒ x = 2yw + y - 1         ( subtracting 1 both the sides)

Hence, the value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

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Answer:

(i) - rectangular prism

(Ii) - triangular prism

(iii) - square pyramid

Step-by-step explanation:

The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.

According to the statement

we have given that the allele frequency of the dominant allele is 0.4, and we have to find that the value of p^2 in the equation p^2+ 2pq + q^2 = 1.

So, For this purpose, we know that the

The allele frequency represents the incidence of a gene variant in a population. Alleles are variant forms of a gene that are located at the same position, or genetic locus, on a chromosome.

And here

allele frequency is the 0.4 and represent the value of P.

So, The value of p is 0.4 and the

Then p^2 = (0.4)^2

so, the value becomes

p^2 = (0.4)^2

p^2 = 0.16.

So, The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.

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The equations take a linear form and are as follows; Part A.

Part B: It takes 5 Hours of work for the total costs to be the same.

The point at which the total costs are the same for both electricians is at;

h = 5hours.

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Answer:

$0.276

Step-by-step explanation:

Given data

Bill= $9.20

Tax= 3%

Tip= 19%

Let us find the amount of the tax and the tip

Tax

=3/100*9.20

=0.03*9.2

=$0.276

Amount after sales tax

= 0.276+9.20

=$9.476

Tip

=19/100*9.476

=0.19*9.476

=$1.80044

Therefore the sales tax

=$0.276

Answer:

9, 13, 17

Step-by-step explanation:

The difference between the greatest value and the least is 8, the range.

Add the three numbers to total 39, then divide by 3 to get the mean, 13.

Answer:

20 boys can eat 64 slices of pizza.

Step-by-step explanation:

Boys        Pizza

  5             16  

 10             32

 15             48

 20           64

Answer: Width = 4.7 meters, Length = 6.7 meters

Step-by-step explanation:

Let the width be \(w\). It follows that the length is \(w+2\).

\(w(w+2)=32\\\\w^2+ 2w-32=0\\\\w=\frac{-2 \pm \sqrt{2^2 -4(1)(-32)}}{2(1)}\\\\w \approx 4.7 \text{ } (w > 0)\\\\\implies w+2 \approx 6.7\)

The readability of a double-pan torsion balance is typically very small, usually in the range of a few milligrams (mg). This is because the double-pan torsion balance is a highly sensitive instrument used to measure very small masses.

The readability of a double-pan torsion balance is determined by the sensitivity of the torsion spring which is used to measure the mass on the scale pans. The higher the sensitivity of the torsion spring, the higher the readability of the double-pan torsion balance. The readability of a double-pan torsion balance is typically in the range of 0.1 to 0.5 mg.

This allows the balance to measure very small increments with a high degree of accuracy and precision. The readability of a double-pan torsion balance is critical for accurate measurements of very small masses, such as in the pharmaceutical, chemical and food industries.

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Answer:

AC ≈ 11.3 cm

Step-by-step explanation:

Using the sine ratio in the right triangle

sin23° = \(\frac{opposite}{hypotenuse}\) = \(\frac{AC}{AB}\) = \(\frac{AC}{29}\) ( multiply both sides by 29 )

29 × sin23° = AC , then

AC ≈ 11.3 cm ( to 3 significant figures )

The transfer function allow us to determine the appropriate value of Ki that satisfies the desired overshoot and settling time specifications ≈ 16.67.

To design a compensator that guarantees a steady-state error less than 0.01 and a settling time (Ts) of 5 seconds with 5% maximum overshoot (PO), we can use a proportional-integral (PI) controller.

The transfer function of the compensator can be represented as:

C(s) = Kp + Ki/s

where Kp is the proportional gain and Ki is the integral gain.

To achieve a steady-state error less than 0.01, we need to ensure that the open-loop transfer function with the compensator, G(s)C(s), has a DC gain of at least 100.

To calculate the values of Kp and Ki, we can follow these steps:

Determine the open-loop transfer function without the compensator, G(s):

G(s) = 2(s + 3)(s + 1)

Calculate the DC gain of G(s) by evaluating G(s) at s = 0:

DC_gain = G(0) = 2(0 + 3)(0 + 1) = 6

Determine the required DC gain with the compensator to achieve a steady-state error less than 0.01:

Required_DC_gain = 100

Calculate the proportional gain Kp to achieve the required DC gain:

Kp = Required_DC_gain / DC_gain = 100 / 6 ≈ 16.67

Determine the integral gain Ki to achieve the desired overshoot and settling time.

To achieve a settling time of 5 seconds and a 5% maximum overshoot, we can use standard control design techniques such as root locus or frequency response methods.

Using these methods, you can determine the proper Ki value to meet the required overshoot and settling time specifications.

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The solution y = -1/(t^2 + 2t + 3) is defined for all real values of t, and the largest interval in which the solution is defined is (-∞, ∞).

To solve the initial value problem dy/dt = 2(t + 1)y^2, y(0) = -1/3, we can separate the variables and integrate both sides with respect to t.

Starting with the given differential equation:

dy/y^2 = 2(t + 1) dt

Integrating both sides:

∫(dy/y^2) = ∫(2(t + 1) dt)

Integrating the left side using the power rule for integration gives:

-1/y = t^2 + 2t + C1

To find the constant of integration, we use the initial condition y(0) = -1/3:

-1/(-1/3) = 0^2 + 2(0) + C1

3 = C1

Therefore, the equation becomes:

-1/y = t^2 + 2t + 3

Next, we can solve for y:

y = -1/(t^2 + 2t + 3)

Now, let's determine the largest interval in which the solution is defined. The denominator of y is t^2 + 2t + 3, which represents a quadratic polynomial. To find the interval where the denominator is non-zero, we need to consider the discriminant of the quadratic equation.

The discriminant, Δ, is given by Δ = b^2 - 4ac, where a = 1, b = 2, and c = 3. Substituting the values, we have:

Δ = (2)^2 - 4(1)(3) = 4 - 12 = -8

Since the discriminant is negative, Δ < 0, the quadratic equation t^2 + 2t + 3 = 0 has no real solutions. Therefore, the denominator t^2 + 2t + 3 is always positive and non-zero.

Hence, the solution y = -1/(t^2 + 2t + 3) is defined for all real values of t, and the largest interval in which the solution is defined is (-∞, ∞).

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Answer:

x = 6

Step-by-step explanation:

To solve the two-step equation 3(x-10)=-12, we need to use inverse operations to isolate the variable x.

First, we will simplify the expression inside the parentheses by distributing the 3.

3(x-10) = -12

3x - 30 = -12

Next, we will add 30 to both sides to isolate the variable term.

3x = 18

Finally, we will divide both sides by 3 to solve for x.

x = 6

Therefore, the solution to the equation 3(x-10)=-12 is x = 6.

Answer:

do you mind zooming in more

Step-by-step explanation:

Answer:

the 3 pound bag

Step-by-step explanation:

6.04÷3= $2.013 per pond

and

18.45÷9= $2.05 per pound

You want to pick the lesser value because that means it will cost you less.

Answer:

15

measure of third side is = 25^2 - 20^2

= 625 - 400

= 225

= √225

= 15

hope it helps

Answer:

\(842\ \text{ft}\)

\(y(t)=906-16t^2\)

Step-by-step explanation:

Let \(y\) be the height the object from the ground.

\(s\) be the initial height of the object = 906 ft

\(u\) = Initial velocity = 0

\(g\) = Acceleration due to gravity = \(32\ \text{ft/s}^2\)

\(t\) = Time

The expression would be

\(y(t)=s-ut-\dfrac{1}{2}gt^2\\\Rightarrow y(t)=906-16t^2\)

The required expression is \(y(t)=906-16t^2\)

At \(t=2\ \text{s}\)

\(y(2)=906-16\times 2^2\\\Rightarrow y(2)=842\ \text{ft}\)

The height of the object after 2 seconds of falling is \(842\ \text{ft}\).

Answer: -4

Work: So, to get -4, we need to simplify the equation. If you see any equation with +(- that's subtraction. So, with the rule, this equation is basically 8-12, and that's -4.

Answer:

-4

Step-by-step explanation:

8+(-12)

= 8-12

12-8=4

the answer is -4

The Cartesian to Polar equations can be defined as a set of equations that convert the coordinates of a point from Cartesian coordinates to Polar coordinates. We can define the Cartesian coordinates (x,y) in terms of the polar coordinates (r,θ) as follows:

Here, x is the horizontal coordinate, y is the vertical coordinate, r is the radial coordinate, and θ is the angular coordinate. We can use these relationships to convert the Cartesian equations to Polar equations.53. \( x=7 \)In polar coordinates, x = rcosθ.

Therefore, rcosθ = 7. We can write this as r = 7/cosθ.54. \( y=1 \)In polar coordinates, y = rsinθ. Therefore, rsinθ = 1. We can write this as r = 1/sinθ.55. \( x=y \)In polar coordinates, x = rcosθ and y = rsinθ.

Therefore, rcosθ = rsinθ. Dividing by r, we get tanθ = 1. Therefore, θ = π/4 or 5π/4.56. \( x-y=3 \)We can write this as y = x - 3. In polar coordinates, x = rcosθ and y = rsinθ. Therefore, rsinθ = rcosθ - 3.

Dividing by cosθ, we get tanθ = sinθ/cosθ = 1 - 3/cosθ. Therefore, cosθ = 3/(1 - tanθ). We can substitute this expression for cosθ in the equation rcosθ = x to get the polar equation in terms of r and θ.57. \( x^{2}+y^{2}=4 \)In polar coordinates, x = rcosθ and y = rsinθ.

Therefore, r^{2}cos^{2}θ + r^{2}sin^{2}θ = 4. Simplifying, we get r^{2} = 4 or r = ±2. Therefore, the polar equation is r = 2 or r = -2.58. \( y = x^{2} \)In polar coordinates, x = rcosθ and y = rsinθ. Therefore, rsinθ = r^{2}cos^{2}θ. Dividing by rcos^{2}θ, we get tanθ = r*sinθ/cos^{3}θ. Therefore, r = tanθ/cos^{3}θ.

The Cartesian to Polar equations can be defined as a set of equations that convert the coordinates of a point from Cartesian coordinates to Polar coordinates. We can define the Cartesian coordinates (x,y) in terms of the polar coordinates (r,θ) as follows:Here, x is the horizontal coordinate, y is the vertical coordinate, r is the radial coordinate, and θ is the angular coordinate. We can use these relationships to convert the Cartesian equations to Polar equations.53. \( x=7 \).

In polar coordinates, x = rcosθ. Therefore, rcosθ = 7. We can write this as r = 7/cosθ.54. \( y=1 \)In polar coordinates, y = rsinθ. Therefore, rsinθ = 1. We can write this as r = 1/sinθ.55. \( x=y \)In polar coordinates, x = rcosθ and y = rsinθ. Therefore, rcosθ = rsinθ.

Dividing by r, we get tanθ = 1. Therefore, θ = π/4 or 5π/4.56. \( x-y=3 \)We can write this as y = x - 3. In polar coordinates, x = rcosθ and y = rsinθ. Therefore, rsinθ = rcosθ - 3. Dividing by cosθ, we get tanθ = sinθ/cosθ = 1 - 3/cosθ. Therefore, cosθ = 3/(1 - tanθ).

We can substitute this expression for cosθ in the equation rcosθ = x to get the polar equation in terms of r and

\(θ.57. \( x^{2}+y^{2}=4 \)\)In polar coordinates, x = rcosθ and y = rsinθ. Therefore,\(r^{2}cos^{2}θ + r^{2}sin^{2}θ = 4\). Simplifying, we get r^{2} = 4 or r = ±2.

Therefore, the polar equation is r = 2 or r = -2.58. \( y = x^{2} \)In polar coordinates, x = rcosθ and y = rsinθ. Therefore, \(rsinθ = r^{2}cos^{2}θ\). Dividing by rcos^{2}θ, we get tanθ = r*sinθ/cos^{3}θ. Therefore, r = tanθ/cos^{3}θ.

Thus, these are the Polar equations that are equivalent to the given Cartesian equations.

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The solutions of the equation 6x² + 9x - 15 = 0 are x = 1 and x = -5/2.

To find the solutions of the equation 6x² + 9x - 15 = 0, we can use the quadratic formula:

The quadratic formula states that for an equation of the form ax² + bx + c = 0, the solutions for x can be found using the formula:

x = (-b ± √(b² - 4ac)) / (2a)

For the given equation, a = 6, b = 9, and c = -15.

Substituting these values into the quadratic formula, we have:

x = (-9 ± √(9² - 4(6)(-15))) / (2(6))

x = (-9 ± √(81 + 360)) / 12

x = (-9 ± √441) / 12

x = (-9 ± 21) / 12

Now, we can simplify the solutions:

x₁ = (-9 + 21) / 12 = 12 / 12 = 1

x₂ = (-9 - 21) / 12 = -30 / 12 = -5/2

Therefore, the solutions of the equation 6x² + 9x - 15 = 0 are x = 1 and x = -5/2.

The correct option from the given choices is (B) 1, -5/2.

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Answer:

1.17m²

Step-by-step explanation:

Total area of cardboard=

\(1.6 \times 0.8 = 1.28m {}^{2} \)

Area of circular piece=

\(\pi \: r {}^{2} = ( \frac{22}{7} )(0.12) {}^{2} = \frac{198}{4375} m {}^{2} \)

Area of rectangular piece=

\(0.2 \times 0.15 = 0.03m {}^{2} \)

Area of 2 triangular pieces=

\(2( \frac{1}{2} \times 0.3 \times 0.1) = 0.03m {}^{2} \)

Remaining area of the cardboard= Total area of cardboard - circular piece - 2 triangular pieces

\(1.28 - \frac{198}{4375} - 0.03 -0.03 = \frac{21083}{17500} =1.17m {}^{2} \)

The vector A is (49.9m) x and vector B is (1.5m) x.

In the given question, A − B = (−51.4m)x, C =(62.2m)x, and A +B +C =(13.8m)x.

Find the vector A. Find the vector B.

We may disregard the vector x and treat the issue as an arithmetic one since all of the measurements are in the same direction (simultaneous equations).

A − B = −51.4.............................(1)

C = 62.2.............................(2)

A + B + C = 13.8.............................(3)

Now putting the value of C from Equation (2) in Equation (3)

A + B + C = 13.8

A + B + 62.2 = 13.8

Subtract 62.2 on both side, we get

A + B = 13.8 - 62.2

A + B = - 48.4.....................(4)

Adding the equation (1) and (4), we get

2A = - 99.8

Divide by 2 on both side, we get

A = - 49.9

Now subtracting the equation (1) and (4), we get

2B = -48.4 - ( -51.4)

2B = 3

Divide by 2 on both side, we get

B = 1.5

Since all of the calculations are done in terms of the unit vector x.

So the answer is vector B = (1.5m) x and vector A = (49.9m) x.

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Answer:

its -4! good luck bestie!!!

Step-by-step explanation:

Answer: The slope of line b is -4

Step-by-step explanation:

Usually I'd use the formula \(\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\) to find the slope.

Remember the coordinates of the origin are (0, 0) so subtracting them means nothing and instead we will just do y/x of (2, -8)

\(\frac{-8}{2} =-4\)

The slope is -4

Answer:

r= 5.71%

Step-by-step explanation

Just did it

Answer:

5.71%

Step-by-step explanation:

Answer:

Part A: 299 + 45A + 30B + 50c

Part B: 569 (or 570 if you round it up)

Step-by-step explanation:

Part A:

Because there is no variable for the number of PlayStation 4s, let's assume that there is only one. That will be 299.

If A is the number of wireless controllers and each wireless controller is worth 45 dollars each, the price for the wireless controller(s) is 45A.

If B is the number of wireless controller charging stations and each wireless controller charging station cost 30 dollars, then the price of the wireless controller charging station(s) is 30B

If C is the number of games and each game cost 50 dollars, then the price of the game(s) is 50C

Put that all together, and we get 299 + 45A + 30B + 50c.

Part B:

Let's plug the numbers into the formula.

A = 2

B = 1

C = 3

\(299 + 45A + 30B + 50c = 299 + 90 + 30 + 150 = 569\ dollars\)

Answer:

y = 2x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, 4) ← coordinates of intercepts

m = \(\frac{4-0}{0+2}\) = \(\frac{4}{2}\) = 2 and c = 4

y = 2x + 4 ← equation of line

An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.

In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.

Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors

.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).

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Answer:

Choice B. 20

Explanation:

The Pythagoras theorem gives

the left hand side simplifies to give

Answer:

Arithmetic

Step-by-step explanation:

Since each number is 12 larger than the last, this is an arithmetic sequence. A geometric sequence is one in which each next number in the sequence is the previous one multiplied by a certain set coefficient, while in an arithmetic sequence it's a certain number added. Hope this helps!

Answer:

It is arithmetic because to get from one term to the next, you add 12, and in an arithmetic sequence, you add/subtract a common difference to get from one term to the next. Hope this helps!