A mass weighing 24 pounds, attached to the end of a spring, stretches it 4 inches. Initially, the mass is released from rest from a point 2 inches below the equilibrium position. Give the initial conditions. (Use g = 32 ft/s2 for the acceleration due to gravity.) x(0) ft x'(0) ft/s Find the equation of motion. ft

The objective of keyword bidding is to d. get the best ranking for the lowest cost.

Keyword bidding is a practice used in online advertising, specifically in pay-per-click (PPC) campaigns, where advertisers bid on specific keywords to display their ads in search engine results. The objective of keyword bidding is to achieve the best possible ranking for their ads while keeping the cost as low as possible.

Option (a), obtaining the most profitable domain name, is not related to keyword bidding. Domain names refer to the website address or URL and are not directly associated with keyword bidding.

Option (b), limiting the amount of money the firm spends on search marketing, is partially correct but not the primary objective. While controlling costs is important, the main goal of keyword bidding is to optimize the ranking and visibility of ads.

Option (c), always being ranked first, is not feasible for every advertiser. Search engine rankings are determined by various factors, including bid amount, quality score, and relevance. It is not guaranteed that an advertiser will always secure the top position.

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Answer:

The right side of the equation is only a different way of writing the left side, so any value of x will solve this equation.

The equation   − 2 (  x  +  3  )  =  − 2 x  −  6  does not have any specific solutions for the simple reason that the left and rigth sides are two representations of the same equation.

We have  − 2 (  x  +  3  )  means that each term inside the parenthesis should be multiplied with  − 2 , i.e.

− 2 (  x  +  3 )  =  − 2  ⋅  x  −  2  ⋅  (  +  3 )  =  − 2 x  −  6

Which is exactly what the right side says.

Any value of x will, therefore, fulfill this equation.

Answer:

Step-by-step explanation:

it mean to figure out what number you had before the % took some of the number away

Answer:

2) The negative reciprocal of 4 is -1/4.

Using the point-slope form of a line (y - y1 = m(x - x1)), where (x1, y1) is the given point (-16, 2) and m is the slope:

y - 2 = -1/4(x - (-16))

y - 2 = -1/4(x + 16)

y - 2 = -1/4x - 4

y = -1/4x - 2

Therefore, the equation of the line perpendicular to y = 4x - 10 that passes through the point (-16, 2) is y = -1/4x - 2. So, the correct answer is A.

3) The given equation is y - 3x = -8. To find the equation of a line perpendicular to this, we need to determine the negative reciprocal of the slope of the given line, which is 3. The negative reciprocal of 3 is -1/3.

Using the point-slope form with the point (3, 2) and the slope -1/3:

y - 2 = -1/3(x - 3)

y - 2 = -1/3x + 1

y = -1/3x + 3

Therefore, the equation of the line perpendicular to y - 3x = -8 that passes through the point (3, 2) is y = -1/3x + 3. So, the correct answer is D.

4) The given line passes through the point (-5, 2) and the origin (0, 0). The slope of a line passing through two points can be found using the formula (y2 - y1) / (x2 - x1).

slope = (0 - 2) / (0 - (-5))

slope = -2 / 5

slope = -2/5

The negative reciprocal of -2/5 is 5/2. Therefore, the slope of a line perpendicular to the line passing through (-5, 2) and the origin is 5/2. So, the correct answer is D.

240

Step-by-step explanation:

12-8+4+[(6+2)-3]2×3

= 4+4[(6+2)-3]2×3

= 8[(6+2)-3]2×3

= 8[(8)-3]2×3

= 8[5]2×3

= 8[5]6

= 40(6)

= 240

Answer:

4√(7^5) and (4√7)^5

Step-by-step explanation:

7^5/4

The above can be expressed as follow: Method 1:

7^5/4

(7^5)^1/4

Recall:

(a^m)^1/n = n√(a^m)

Therefore,

(7^5)^1/4 = 4√(7^5)

Method 2:

7^5/4

(7^1/4)^5

Recall:

(a^1/m)^n = (m√a)^n

Therefore,

(7^1/4)^5 = (4√7)^5

From the illustration above, we can see that 7^5/4 can be expressed as 4√(7^5) and (4√7)^5

Answer:

~27.764982043070833894247682407876

Step-by-step explanation:

First, we can add 8+5.5+8 because of the two sides which are 8 and one that is 5.5. That is 21.5.

Then, we must find the diagonal edge. To do that, we can use the pythagorean theorem. It makes a triangle, so given that a^2+b^2=c^c, we can say that 3^2+5.5^2=c^c. Using a calculator, we can find the square root of 39.25, then add it to 21.5.

Answer:

27.8

Step-by-step explanation:

the other person that answered this is right if you but if you wanted rounded to the nearest tenth it would be would be my answer

Answer:

Equation: y=2/3x-4

y intercept is (0,-4)

x intercept is (6, 0)

Step-by-step explanation:

Answer:

x=3/2y+6

y=2/3x-4

Step-by-step explanation:

To find Y

divide both sides with -3

-3y=-2x+12/:-3

y=2/3x-4

to find x

2x=3y+12

divide both sides with 2

2x=3y+12/:2

x=3/2y+6

Hope this helped :)

The volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L, calculated using the ideal gas law equation.

To compute this problem, we can use the ideal gas law, which states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.

First, we need to convert the initial temperature of 25 °C to Kelvin:

T1 = 25 + 273.15 = 298.15 K

Next, we can rearrange the ideal gas law equation to solve for V2:

V2 = (P1 * V1 * T2) / (P2 * T1)

We have:

P1 = 1.08 atm (initial pressure)

V1 = 50.0 L (initial volume)

P2 = 0.855 atm (final pressure)

T2 = 10.0 °C (final temperature)

Converting the final temperature to Kelvin:

T2 = 10 + 273.15 = 283.15 K

Substituting the values into the equation:

V2 = (1.08 * 50.0 * 283.15) / (0.855 * 298.15)

V2 ≈ 42.81 L

Therefore, the volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L.

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I don’t know if you’re doing inequalities but if you are it would be 6(>)-7

Answer:

-1

Step-by-step explanation:

Answer:

A. W+ 12 = 6 + W + 6

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

15 students

Step-by-step explanation:

The fraction of students who will repeat the exam is:

\(1-\frac{6}{9}\)

=\(\frac{9}{9} -\frac{6}{9} =\frac{3}{9}\)

simplified is:

\(\frac{1}{3}\)

Extract this fraction of 45:

\(45(\frac{1}{3} )=\frac{45}{3} =15\)

Hope this helps

Answer:

I think the answer should be two and a half pieces

The number of seconds will it take the ball to hit the ground will be 2.078 seconds.

An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, and a must not be zero.

For example, 3x² + 6x + 8 = 0 here x has the highest term as 2 and the coefficient of x² is not zero.

As per the given,

h(t)=-16t² + 14t + 40

The time when the ball hit the ground h(t) = 0

-16t² + 14t + 40 = 0

-8t² + 7t + 20 = 0

8t² - 7t - 20 = 0

t = (7 ± 26.25)16

t = 2.078 seconds

Since time can never be negative thus, 2.078 seconds will be correct.

Hence "The number of seconds will it take the ball to hit the ground will be 2.078 seconds".

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Given the information sin(O) = -1 and cos(e) > 0 with e in quadrant 3, we can determine the quadrant, x, y, and r values, and then find the six trigonometric ratios for O.

First, determine the quadrant for O:
Since sin(O) = -1 and cos(e) > 0, we know that O is in quadrant 4, where sine is negative and cosine is positive.

Next, find x, y, and r:
Given sin(O) = -1, we know that y/r = -1. Since sin(O) is at its minimum, this occurs when y = -1 and r = 1. With e in quadrant 3, x must be negative. Since cos²(e) + sin²(e) = 1, we have x² + (-1)² = 1, so x² = 0, and x = 0.

Now, calculate the six trigonometric ratios for O:
1. sin(O) = y/r = -1/1 = -1
2. cos(O) = x/r = 0/1 = 0
3. tan(O) = y/x = -1/0 (undefined, as we cannot divide by 0)
4. sec(O) = r/x = 1/0 (undefined, as we cannot divide by 0)
5. csc(O) = r/y = 1/-1 = -1
6. cot(O) = x/y = 0/-1 = 0

So, O is in quadrant 4 with x=0, y=-1, and r=1. The trigonometric ratios are sin(O)=-1, cos(O)=0, tan(O)=undefined, sec(O)=undefined, csc(O)=-1, and cot(O)=0.

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Answer:

I'll try to give u an example the best way possible

Step-by-step explanation:

1) we are going to solve this division problem (84/7).

2) Divide 8 by 7 to get 1. Place this on top of the 8 and the division sign.

3) Multiply 1 and 7 to get 7. Place this under the 8.

4) Subtract 7 from 8 to get 1.

5) Carry down the 4.

6) Divide 14 by 7 to get 2. Place this on top of the 4 and the division sign.

7) Multiply 2 by 7 to get 14.

8) Subtract 14 from 14 to get 0.

The answer is 12!

Answer:

C= 65.5°

D= 114.1°

Step-by-step explanation:

5x - 6 + 7x +14 = 180

5x + 7x + 14 - 6 = 180

12x + 8 = 180

- 8 - 8

12x = 180

12x/12 = 180/12

x = 14.3

C= 5x - 6

5(14.3)-6

71.5 - 6

C=65.5°

D= 7x + 14

7(14.3) + 14

100.1 + 14

D= 114.1°

65.5 + 114.1 = 179.6°

When this is rounded up, you will get 180°

Hope this helps!

Answer:

x=1

Step-by-step explanation:

Look at the bottom of the triangle you will see that 1 = x

0.0945 (approx)  is the probability that exactly 12 of them are strikes.

p(x=12)

nC12(p)12 (q) (n-12)

22C12 (0.431)12 (0.569)(22-12)

=646646(0.431)12 (0.569)10

=0.094518

Probability is a branch of mathematics that quantifies the likelihood of an event occurring or the likelihood of a statement being true. The probability of an event is a number between 0 and 1, with approximately 0 indicating the improbability of the event and 1 indicating certainty.

The probability of an event can be calculated by simply dividing the number of favorable outcomes by the total number of possible outcomes using the probability formula.

probability = number of paths to success—a total number of possible outcomes. For example, the probability of flipping a coin and getting heads is ½. This is because there is one way to get heads and the total number of possible outcomes is 2 (heads or tails). We write P(heads) = ½.

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Answer:

Dang it I got it wrong

Step-by-step explanation:

Step-by-step explanation:

Examples of like terms in math are x, 4x, -2x, and 7x. These are like terms because they all contain the same variable, x. The terms 8y2, y2, and -2y2 are like terms as well. These all contain the same variable, y, raised to the second power.

In this situation, you would need to move all terms that don't contain y to the right side and then solve.

\(y=\frac{1}{4} -\frac{x}{2}\)

Hope this helps! If not, please feel free to comment below and I'll see what else I can do to help. Thanks and good luck!

Step-by-step explanation:

Straight line = 180 °

5x + 78 = 180

5x = 180 - 78

5x = 102

x = 20.4

and y = 78 ° because y is an opposite angle of 78 °

Answer: Lower priced speaker dock sold total $2,880.

Solution:    190x + 80(4x) = 4590 ......(1)

Where, x represents how many are sold.

Solving eq(1) and finding the value of x

190x + 320x = 4590

510x = 4590

x = 4590/510 = 9

So, 9 is the Higher priced speaker dock then 4x = 4×9 = 36 is the Lower priced speaker dock.

Hence, 36 lower-priced speaker docks did it sold.

Then total amount of Lower priced speaker dock sold :

1 Lower priced speaker dock sold = $80

Then,

36 Lower priced speaker dock sold = 36×80 = $2,880

The relationships between the numerator and denominator coefficients of a circuit and the values of resistance (R), inductance (L), and capacitance (C) depend on the specific circuit configuration and the transfer function associated with it.

In general, the numerator coefficients of the transfer function represent the output variables of the circuit, while the denominator coefficients represent the input variables. The coefficients are determined by the circuit elements (R, L, C) and their interconnections.

For example, in a simple RC circuit (resistor and capacitor), the transfer function can be written as a ratio of polynomials in the Laplace domain. The denominator coefficients correspond to the characteristic equation of the circuit and involve the resistance and capacitance values. The numerator coefficients may be related to the initial conditions or external inputs.

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The eigenbasis for problem 21 is {[0, 0, 1]}.

To find the eigenvalues, we solve the characteristic equation:

|A - λI| = 0

where A is the matrix and I is the identity matrix of the same size.

For problem 21, we have:

A = [1 0 0; -5 0 2; 0 0 1]

I = [1 0 0; 0 1 0; 0 0 1]

So,

|A - λI| = det([1-λ 0 0; -5 0 2; 0 0 1-λ])

= (1-λ) det([0 2; 0 1-λ]) + 5 det([-5 2; 0 1-λ])

= (1-λ)(1-λ)(-5) + 5(-10)

= 25λ - 125

= 25(λ - 5)

Thus, the only eigenvalue is λ = 5.

To find the eigenvectors, we solve the system of equations:

(A - λI)x = 0

For λ = 5, we have:

(A - λI)x = [(1-5) 0 0; -5 (0-5) 2; 0 0 (1-5)]x = [-4 0 0; -5 -5 2; 0 0 -4]x = 0

This gives us the system of equations:

-4x1 = 0

-5x1 - 5x2 + 2x3 = 0

-4x3 = 0

From the first and third equations, we see that x1 = 0 and x3 = 0. Then the second equation reduces to:

-5x2 = 0

So, we have x2 = 0. Thus, the eigenspace for λ = 5 is spanned by the vector [0, 0, 1].

Since we only have one eigenvalue, we automatically have an eigenbasis. So, the eigenbasis for problem 21 is {[0, 0, 1]}.

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Answer:

501 sacks

Step-by-step explanation:

please mark me as brainlest

Answer:

11p+3q

Step-by-step explanation: