3. Determine the real roots and state their multiplicity and
consequent crossing of the x-axis of (9x^2-81)(x^2-9)=0 (2 marks
for the roots; 2 marks for multiplicity and how the curve will
cross the x

Answer:

here to try to help!

Step-by-step explanation:

346.96 why? Kerry was not payed at the overtime for extra hours hope it helped!

Hey there!

1,000:

= 2 × 2 × 2 × 5 × 5 × 5

= 4 × 2 × 5 × 5 × 5

= 8 × 5 × 5 × 5

= 40 × 25

= 1,000

180:

= 2 × 2 × 3 × 3 × 5

= 4 × 3 × 3 × 5

= 12 × 15

= 180

LOOKING FOR THE LCM (Lowest Common Multiple)

(1,000 × 180) ÷ 20

= 180,000 ÷ 20

= 9,000

[Answer: 9,000]

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

x=10.4

Step-by-step explanation:

Answer:

D.7

Step-by-step explanation:

30/5 =42/X

Criss cross and X=(42X5)/30=7

The value of x will be,

⇒ x = 7

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangles ABC and DEF are similar.

Now, By definition of proportionality we get;

⇒ AB / BC = DE / EF

⇒ 30 / 42 = 5 / x

⇒ 30x = 5 × 42

⇒ 30x = 210

⇒ x = 210 / 30

⇒ x = 7

Thus, The value of x will be,

⇒ x = 7

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Answer:

10

Step-by-step explanation:

d = 10

For:

(X1, Y1) = (13, 2)

(X2, Y2) = (7, 10)

Distance Equation Solution:

d=(7−13)2+(10−2)2−−−−−−−−−−−−−−−−−√

d=(−6)2+(8)2−−−−−−−−−−√

d=36+64−−−−−−√

d=1–√00

d=10

Answer:

-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

I took the k12 Quiz

The main lesson of Jeremiah 28 is that rebellion against God is self-destructive.

God is omniscient (all-knowing), omnipotent (all-powerful), and omnibenevolent (supremely good).

Human beings must recognize that God is love, life, truth, and light.

It is sinful to offend God with lies or untruth, or distorting the above attributes of God.

Thus, the lessons from Jeremiah and Hananiah, according to Jeremiah 28,  that one can apply to their own life are to obey, acknowledge, and praise God in all our undertakings, living always in the light of Truth.

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Answer:

work is shown and pictured

The point-slope form of the line is \(y-19=2(x-5)\).

Important information:

We need to find the point-slope equation for the line

The point-slope form of a line that passes though the points \((x_1,y_1)\) and \((x_2,y_2)\) is:

\(y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\)

Substitute \(x_1=5,y_1=19,x_2=-5,y_2=-1\).

\(y-19=\dfrac{-1-19}{-5-5}(x-5)\)

\(y-19=\dfrac{-20}{-10}(x-5)\)

\(y-19=2(x-5)\)

Thus, the point-slope form of the line is \(y-19=2(x-5)\).

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The measure is 90°.

Since it intercepts half of the circle.

Answer:

C

Step-by-step explanation:

Answer:

Ray KM is an angle bisector of angle NKL

Step-by-step explanation:

you see the 2 different angles created by the ray are the same measure

Answer:

Domain: -2 < x < 2

Range: 1 < y < 5

Step-by-step explanation:

Domain is the set of numbers that are on the x axis

Range is the set of numbers that are on the y axis

Answer:

84

Step-by-step explanation:

find the lcm and the hcf of the numbers and then add

Total stockholders’ equity 7,800,000

Statement of stockholders’ equity for CC for the year ended December 31, 2012:Particulars Amount ($)
Common Stock 100,000

Additional Paid-in Capital 4,100,000
Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000

Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
Total stockholders’ equity 7,800,000

Explanation:The given information is as follows:Common Stock on January 1, 2012 = $100,000Additional Paid-in Capital on January 1, 2012 = $4,100,000

Retained Earnings on January 1, 2012 = $3,000,000Net Income for the year ended December 31, 2012 = $800,000Cash Dividend Declared on July 1 and paid on July 31 = $200,000

To prepare the statement of stockholders’ equity for the year ended December 31, 2012, we will begin by preparing the opening balances of each of the equity accounts. We will then add the net income to the retained earnings account.

The closing balance for retained earnings is then computed by subtracting the cash dividend declared and paid from the total retained earnings. Finally, the total stockholders' equity is calculated by adding the balances of all the equity accounts.

Calculations:Opening balance of common stock = $100,000

Opening balance of additional paid-in capital = $4,100,000

Opening balance of retained earnings = $3,000,000

Net Income for the year ended December 31, 2012 = $800,000

Retained earnings (Opening Balance) = $3,000,000

Add: Net Income for the year ended December 31, 2012 = $800,000

Total retained earnings = $3,800,000Less: Cash Dividend Declared on July 1 and paid on July 31 = $200,000Retained earnings (Closing balance) = $3,600,000

Total stockholders’ equity = Common Stock + Additional Paid-in Capital + Retained Earnings (Closing balance) = $100,000 + $4,100,000 + $3,600,000 = $7,800,000

Therefore, the statement of stockholders’ equity for CC for the year ended December 31, 2012, is as follows:Particulars Amount ($)
Common Stock 100,000
Additional Paid-in Capital 4,100,000

Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000

Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
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Answer: True

Step-by-step explanation: because bias can lead to personal errors

The height of the painting in the scale drawing is approximately 5.8 centimeters (rounded to the nearest tenth).

To find the height of the painting in the scale drawing, we can set up a proportion using the given scale.

Given:

Scale: 2 centimeters represent 9 inches

Real height of the painting: 26 inches

Height in the scale drawing: ?

Let's set up the proportion:

2 centimeters / 9 inches = x centimeters / 26 inches

To solve for x (the height in the scale drawing), we can cross-multiply and then divide:

2 centimeters * 26 inches = 9 inches * x centimeters

52 centimeters = 9x

Dividing both sides by 9:

x = 52 centimeters / 9

x ≈ 5.8 centimeters

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Answer:

Step-by-step explanation:

Remark

If you are given choices, you should quote them; Otherwise we are guessing. I will give you some some choices.

The final solution in terms of the inverse Laplace transforms:

\(ƒ(t) = L^{-1}[F(s)]\)

We have,

To solve the given ordinary differential equation (ODE) using Laplace transform, we'll follow these steps:

Step 1: Take the Laplace transform of both sides of the equation.

Step 2: Solve for the Laplace transform of the function ƒ(t).

Step 3: Take the inverse Laplace transform to obtain the solution in the time domain.

Let's go through these steps:

Step 1: Taking the Laplace transform of the ODE, we have:

L[f"(t)] + 6L[f'(t)] + 13L[f(t)] = 48L[t - 5]

Step 2: Applying the Laplace transform properties and using the initial conditions, we get:

\(s^2F(s) - sf(0) - f'(0) + 6(sF(s) - f(0)) + 13F(s) = 48(e^{-5s}/s)\)

Simplifying, we have:

\(s^2F(s) + 6sF(s) + 13F(s) - s(0) - 0 + 6sF(s) - 6(0) + 13F(s) = 48(e^{-5s}/s)\)

Combining like terms, we obtain:

\((s^2 + 6s + 13)F(s) = 48(e^{-5s}/s)\)

Step 3: Solving for F(s), we have:

\(F(s) = 48(e^{-5s}/s) / (s^2 + 6s + 13)\)

To find the inverse Laplace transform of F(s), we can use partial fraction decomposition, but the expression involves complex roots.

Therefore,

The final solution in terms of the inverse Laplace transforms:

\(ƒ(t) = L^{-1}[F(s)]\)

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The bearing of how far east of point G is point H is 51.68 m

Bearing is the number of degrees in the angle measured in a clockwise direction from the north line to the line joining the centre of the compass. It is used to describe a particular direction in which an object is traveling.

How to determine this

When point G and point H are 58 m apart

Point H is at a bearing of 63 degrees

i.e At point H = 63°

To calculate how far east of point G is to point H

When North to East is 90°

So, 90° - 63°

= 27°

x meter away from point H to the East

= cos 27° * 58 m

= 0.9114 * 58 m

= 52.86 m

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Answer:

Non-statistical I think

Step-by-step explanation:

1. Since \(\Delta\) is negative (\(\Delta < 0\)), the system is classified as an overdamped system.

2. The response of an overdamped system gradually approaches its final value without any oscillations.

3. The exact settling time value would depend on the desired settling criteria (e.g., 2%, 5%, etc.) specified for the system.

To determine the second-order time domain characteristics of the given transfer function \(G(s) = \frac{20}{s^2 + 4s + 20}\), we need to examine its denominator and identify the values for damping, peak time, and settling time.

1. Damping Case:

The damping case of a second-order system is determined by the value of the discriminant (\(\Delta\)) of the characteristic equation. The characteristic equation for the given transfer function is \(s^2 + 4s + 20 = 0\).

The discriminant (\(\Delta\)) is given by \(\Delta = b^2 - 4ac\), where \(a = 1\), \(b = 4\), and \(c = 20\) in this case.

Evaluating the discriminant:

\(\Delta = (4)^2 - 4(1)(20) = 16 - 80 = -64\)

Since \(\Delta\) is negative (\(\Delta < 0\)), the system is classified as an overdamped system.

2. Peak Time:

The peak time (\(T_p\)) is the time taken for the response to reach its peak value.

For an overdamped system, there is no overshoot, so the peak time is not applicable. The response of an overdamped system gradually approaches its final value without any oscillations.

3. Settling Time:

The settling time (\(T_s\)) is the time taken for the response to reach and stay within a certain percentage (usually 2%) of the final value.

For the given transfer function, since it is an overdamped system, the settling time can be longer compared to critically or underdamped systems. The exact settling time value would depend on the desired settling criteria (e.g., 2%, 5%, etc.) specified for the system.

To calculate the settling time, one would typically use numerical methods or simulation tools to analyze the step response of the system.

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Answer:

A

Step-by-step explanation:make brainiest

The  gross income if they worked 4.5 hours on Saturday and 5 hours on Sunday = $180.06

The correct option is C.

A linear equation is one that can be written as displaystyle a 1x 1+ldots +a nx n+b=0, where x 1, ldots, x n are the variables and displaystyle b, a 1, ldots, a n are the coefficients, which are frequently real integers.

let ,

X = worked 4.5 hours on Saturday

Y = 5 hours on Sunday

So according to the given equation:

10.75(1.5)(x) + 10.75(2y)

Substituting the value of X and Y we get:

10.75(1.5)(x) + 10.75(2y)

=  10.75(1.5)(4.5) + 10.75(2*5)

= 72.56 + 107.5

= 180.06

The gross income if they worked 4.5 hours on Saturday and 5 hours on Sunday = $180.06

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The answer is option a: a survey in which people are asked to indicate how much they trust a number of different politicians using a scale of 1-5, with 1 being the least amount of trust. This is an example of quantitative research.

Quantitative research requires participants to quantify their feelings and opinions using numerical values. It involves measuring variables and collecting numerical data, which can then be analyzed statistically. In this case, the survey data can be analyzed to measure the amount of trust people have in politicians.

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Answer: Please mark me brainliest, it will really help me just as this answer really helps you.

Description: Divide by two

Next three terms: 1/8, 1/16, 1/32

Explanation:

How to get next term?

Divide the number before by two to get the next term.

How do you get the pattern?

I observed a pattern that each next number was divided by two.

Answer:

/2 or devided by 2 or 50% upcoming three are: 1/8 1/16 1/32

Step-by-step explanation:

2/2=1

1/2=1/2

1/2 devided by 2 = 4 etc

It take 2 minutes to cross this bridge at a constant speed of 20 miles per hour.

The unitary method is a method for figuring out a single unit's value, then multiplying that value by itself to get the required value. An individual or singular unit is referred to as unitary. Because of this, the goal of this method is to determine values in reference to a single unit. The unitary technique can be used, for instance, to determine how many kilometers a car can go on one litre of gas if it can travel 44 km on two litres of gas. A single unit's value is determined using the unitary approach, and the value of the necessary number of units can then be determined using this value.

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For a sequence \(log_{12} (162), log_{12} (x), log_{12}(y) , log_{12}(z) , log_{12}(1250)\) of arithmetic progression, the value of x is 270.

Given sequence;

\(log_{12} (162), log_{12} (x), log_{12}(y) , log_{12}(z) , log_{12}(1250)\)

The given sequence is an arithmetic progression,

\(log_{12} (162)+4d = log_{12}(1250)\)

Here, d is a common difference;

\(4d = log_{12}(1250)-log_{12} (162)\)

    \(= log_{12}(1250/162)\)

\(d =\frac{1}{4} [log_{12}(1250/162)]\)

\(d = log_{12}(1250/162)^1^/^4\)

As we know the value of d we now need to add it to the first term to find x;

⇒ \(log_{12}(162)+ log_{12}(1250/162)^1^/^4\)

  x = \((162)(1250/162)^1^/^4\)

  x = 270

Hence, the value of x is 270.

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The number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.

The permutation is a way of finding the number of ways of selecting a set of articles from a larger set of articles, with the order of selection being significant.

If we want to choose r items from n items, where the order of selection is significant, then we can find the number of ways of doing this using the permutation as follows:

nPr = n!/{(n - r)!}.

In the question, we are asked to find the number of ways Kristen can rank her favorite four investments from the 8 potential investments that her financial advisor has given her.

Thus, using permutations, we need to select 4 items from 8 items, with order of selection being significant.

Substituting n = 8, and r = 4 in the formula, we get:

8P4 = 8!/{(8 - 4)!}

= 8!/4!

= 5 * 6 * 7 * 8

= 1680.

Thus, the number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.

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