Use synthetic division to divide. (Simplify your answer completely.) (3x3 + 12x2 + 16x 4) : (x + 5)

The equation 4e7e5 + 2e = i Term 1: 4e7e5 Coefficient: 4, Constant: e7e5 Term 2: 2e (Coefficient: 2, Constant: e)

The equation 4e7e5 + 2e = i is composed of two terms. The first term is 4e7e5, which has a coefficient of 4 and a constant of e7e5. The coefficient of 4 indicates that the term is multiplied by 4. The constant, e7e5, is the base number of the term, which is not affected by the coefficient. The second term is 2e, which has a coefficient of 2 and a constant of e. The coefficient of 2 indicates that the term is multiplied by 2. The constant, e, is the base number of the term, which is not affected by the coefficient. Together, the two terms can be simplified and solved for the value of i.

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The probability of winning by picking the number 30 in roulette is 1/38.

In the game of roulette, the wheel consists of 38 spaces, with numbers 0 through 36 and an additional space marked 00. When you pick a specific number, such as 30, the probability of that number coming up on the wheel can be determined by calculating the ratio of favorable outcomes to the total number of possible outcomes.

In this case, there is only one favorable outcome, which is the ball landing on the number 30. The total number of possible outcomes is 38 since there are 37 numbered spaces (0 through 36) and one additional space for 00. Therefore, the probability of winning by picking the number 30 is 1 out of 38.

To put it simply, if you were to play roulette many times, you would expect the number 30 to come up approximately once every 38 spins on average. This probability remains the same for each individual spin, as each spin of the roulette wheel is an independent event.

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Answer:

7a + 14

just multiply 7 by both a and 2

Answer:

7a+14

or a=2

Step-by-step explanation:

you distribute to the numbers in the parenthesis and divide to get the answer for a

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\(y = 8 - x\)

\(y = - x + 8\)

\(y = - 1x + 8\)

\(Slope = coefficient \: \: of \: \: x \)

Thus :

\(Slope = - 1\)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

y=1, x=-3

Step-by-step explanation:

Isolate y for 5-5y=0

5-5y=0

Subtract 5 from both sides

5-5y-5=0-5

Simplify:

-5y=-5

Divide both sides by -5

-5y/-5=-5/-5

Simplify

y=1

Substitute y=1

4x-6*1=-18

Simplify

4x-6*1=-18

Simplify  4x-6*1

4x-6=-18

Add 6 to both sides:

4x-6+6=-18+6

simplify

4x=-12

Divide both sides by 4

4x/4=-12/4

Simplify

x=-3

The solutions to the system are

y=1, x=-3

Answer:

Step-by-step explanation:

2030615 avatar

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love

Answer: Brian invested $16000 in Fund B .

Step-by-step explanation:

Let x be the amount Brian invested in Fund B.

Given, The $8000 that he invested in Fund A returned a 4% profit. The amount that he invested in Fund B returned a 1% profit.

i.e. profit on Fund A = 4% of 8000 = 0.04 ×8000 = $320

Profit on Fund B = 1% of x = 0.01x

Together they earn 1% profit, i.e. Combined profit = 2% of (8000+x)

= 0.02(8000+x)

As per question,

Combined profit=Profit on Fund A+Profit on Fund B

\(\Rightarrow\ 0.02(8000+x) =320+0.01x\\\\\Rightarrow\ 0.02(8000) +0.02x=320+0.01x\\\\\Rightarrow\ 160+0.02x=320+0.01x\\\\\Rightarrow\ 0.02x-0.01x=320-160\\\\\Rightarrow\ 0.01x=160\\\\\Rightarrow\ x=\dfrac{160}{0.01}\\\\\Rightarrow\ x=16000\)

Hence, Brian invested $16000 in Fund B .

Answer:

Plug your values into the equation A=1/2bh and do the math. First multiply the base (b) by 1/2, then divide the area (A) by the product. The resulting value will be the height of your triangle!

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

204÷17=12

The probability of a Type I error is 0.025 or 2.5%.

A Type I error is the error of rejecting a true null hypothesis, in other words, it is the error of concluding that there is a significant difference when in reality there is no difference between the null hypothesis and the alternative hypothesis. It is also known as the significance level or alpha.

A two-sided test is a statistical test in which the null hypothesis is rejected if the test statistic is either significantly greater than or significantly less than the critical values.

In this scenario, the critical values are -2.46 and 2.46. Since it is a two-sided test, the significance level is split equally between the two tails of the distribution, with half in the left tail and half in the right tail.

Therefore, the significance level or alpha is (1 - confidence level) / 2. If the confidence level is 95%, then the alpha is (1 - 0.95) / 2 = 0.025. So the probability of a Type I error is 0.025 or 2.5%.

The Type I error rate is the probability of rejecting a true null hypothesis or concluding that there is a significant difference when in reality there is no difference between the null hypothesis and the alternative hypothesis. The significance level or alpha is the Type I error rate in hypothesis testing.

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Answer:

C) Both (1 , 11) and (-1, -5)

Step-by-step explanation:

y = 8x + 3

Plugin x = 1  and y = 11 in the equation

11 = 8*1 + 3

11 = 8 +3

11 = 11

So, (1 , 11)  is a solution.

Plugin x = -1  and y =-5 ,

-5 = 8*(-1) + 3

-5 = -8 + 3

-5 = -5

So, (-1 , -5) is also a solution

Answer:

Sniper Gang, Kodak

'Cause I got it by myself

Skrrt, skrrt, aye, skrrt, skrrt (Skrrt, skrrt)

Free lil Cool man, free lil Tap Boy, yee

Why you, why you keep that tool like dat?

Why you move like dat? I hit the club 50 deep (Aye, aye)

How you get so high like dat?

Why your eyes like dat?

'Cause I put moIIy in my Iean (Aye, Kodak, Kodak)

Kodak, why you act like dat?

Why you strapped like dat?

'Cause I got it by myself (Aye, aye)

boi, I don't need no vitamin C

I be sm0k!n' broccoli, they say it's good for my health (Aye, aye)

I'm from the No, my Lil boy from the Dale

I like my money fast, you movin' like a snail

All I sm0k3 is L's, on that paper trail

Can't you tell? I got clientele on my Nextel

I don't need your help, got it on my own

This a million-dollar phone, but I ain't got no ring tone (Aye, aye, aye)

Kodak, why you keep that thing on you? (Aye, aye)

'Cause I ain't got no time to play with you

All I do is win, I hate to lose

Got your b00 dancin', 'cause that's what them bands make her do (Make her dance)

I'm sm0k!n' broccoli, counting green

I'm on moIIy, I'm on Iean (I put moIIy in my Iean, boy)

Why you, why you keep that tool like dat?

Why you move like dat? I hit the club 50 deep (With my boys, aye)

How you get so high like dat?

Why your eyes like dat?

'Cause I put moIIy in my Iean (In my Iean, aye)

Kodak, why you act like dat?

Why you strapped like dat?

'Cause I got it by myself (By myself)

boy, I don't need no vitamin C

I be sm0k!n' broccoli, they say it's good for my health (Aye, aye, Kodak)

Kodak, why you always in a foreign? (In a foreign car)

'Cause if it ain't foreign, then it's borin' (That's a boring car)

I'm chasin' dreams, while you snorin'

Kodak Black, my girl yellow, but her favorite color orange (Color orange, boy)

Please don't call my phone no more, I'm on tour (girl, I'm on tour)

Only two can fit, screw a four door (screw a four door)

boy, this a Jag, this is not a Ford (Not a Ford)

Polo to the floor, screw that Tom Ford (Poppin' moIIy)

boy, this a Rollie, screw that Michael Kors (screw that thing)

I'm in here movin' slowly, 'cause I poured a four (I'm on that)

Got her on her knees, like "forgive me Lord" (screw that girl)

I remember pullin' schemes, way in Baltimore (Remember I was hitting)

Why you, why you keep that tool like dat?

Why you move like dat? I hit the club 50 deep (With my boys, aye)

How you get so high like dat?

Why your eyes like dat?

'Cause I put moIIy in my Iean (In my Iean, aye)

Kodak, why you act like dat

Why you strapped like dat?

'Cause I got it by myself (By myself)

boi, I don't need no vitamin C

I be sm0k!n' broccoli, they say it's good for my health (I'm the healthy kid)

The allowance time, if the standard time is 234.15 minutes and the basic time is 233.4 minutes is 0.75 minute

To calculate the allowance time, we can use the following formula:

Allowance time = Standard time - Basic time

Thus, Allowance time = 234.15 minutes - 233.4 minute = 0.75 minutes

Therefore, the allowance time is 0.75 minutes.

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Answer:

2x-14

Step-by-step explanation:

Answer:

$56

Step-by-step explanation:

Lucy's shirts were $12 each since 60/5 is 12. Frank's shirts were 2 more than lucys so his were $14. 14 times 4 is 56.

Answer: L=4.5

Step-by-step explanation:

\(2L^2-5L=18 \ \ \ \ \ L > 0\\2L^2-5L-18=18-18\\2L^2-5L-18=0\\2L^2-5L-4L+4L-18=0\\(2L^2-9L)+(4L-18)=0\\2L*(L-4.5)+4*(L-4.5)=0\\(L-4.5)*(2L+4)=0\\L-4.5=0\\L_1=4,5\\2L+4=0\\2L+4-4=-4\\2L=-4\\\)

Divide both parts of the equation by 2:

\(L_2=-2\notin\ (L > 0)\)

Answer:

A

Step-by-step explanation:

a) ✔️

This is the principle of mathematical induction. If P holds for the base case k=1 and we can show that if it holds for any arbitrary k (e.g. k=n) then it must also hold for the next value (e.g. k=n+1), then we have shown it holds for all natural numbers.

b) ❌

There is no guarantee that P holds for all natural numbers from the statement alone. It only guarantees that for any k where P does not hold, there exists a smaller number i where P does not hold.

c) ❌

This is the principle of weak mathematical induction. It only shows that if P holds for a given k and for all smaller values i then it must hold for k+1. It does not guarantee that P holds for all natural numbers.

d) ❌

This statement is the negation of the principle of mathematical induction. It is known as the "strong induction" principle, which assumes that if P does not hold for k, then there exists a smaller i where P does not hold. However, this principle is not sufficient to prove that P holds for all natural numbers k.

As, the moon has an elliptical orbit around a planet, the maximum distance between the planet and its moon is 88.54 Mm.

What is an elliptical orbit?

When an object moves around another object in an oval shaped path (ellipse), it is known to be revolving in an elliptical orbit.

The standard form of the equation of an ellipse with center at the origin (0,0) and x - axis major axis is given by

x²/a² + y²/b² = 1

Now,

Given that a moon's elliptical orbit around a planet is modeled by the equation 225x² + 576y² = 176,400, where distance is measured in megameters (Mm). and the planet is the center of the orbit's path.

Since the equation of the path is the equation of an ellipse, we write it in standard form

As standard form of the equation of an ellipse with center at the origin (0,0) and x - axis major axis is

x²/a² + y²/b² = 1  (1) where

a = vertex of major axis and

b = vertex of minor axis

So, converting 225x² + 576y² = 176,400 into standard form, we have

225x² + 576y² = 176,400

225x²/1764,000 + 576y²/1764,000 = 176,400/1764,000

x²/7840 + y²/3062.5 = 1  (2)

Comparing equation (2) with (1), we have that

a² = 7840 and b² = 3062.5

⇒ a = √7840 = 88.54 and

⇒ b = √3062.5 = 55.34

Since a = 88.54 is greater than b = 55.34, so, a is the major axis, and the maximum distance between the planet and its moon is 88.54 Mm

So, the maximum distance between the planet and its moon is 88.54 Mm

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Since the moon's has an elliptical orbit around a planet, the maximum distance between the planet and its moon is 88.54 Mm

How to find the maximum distance between the planet and its moon?

x²/a² + y²/b² = 1  (1) where

a = vertex of major axis and

b = vertex of minor axis

o, converting 225x² + 576y² = 176,400 into standard form, we have

225x² + 576y² = 176,400

225x²/1764,000 + 576y²/1764,000 = 176,400/1764,000

x²/7840 + y²/3062.5 = 1  (2)

Comparing equation (2) with (1), we have that

a² = 7840 and b² = 3062.5

⇒ a = √7840 = 88.54 and

⇒ b = √3062.5 = 55.34

Since a = 88.54 is greater than b = 55.34, so, a is the major axis, and the maximum distance between the planet and its moon is 88.54 Mm

So, the maximum distance between the planet and its moon is 88.54 Mm

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Answer:

4 students for the first

Step-by-step explanation:

i will finish answering a little bit later

Answer:13234

Step-by-step explanation:

13234 is

The slope of the equation and y- intercept​ is 320 and 1500 respectively.

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

Given that the total calories y burned by that person can be represented by the equation y=320x+1500, where x represents the number of hours spent walking.

To find the slope and y- intercept​.

y=320x+1500

Therefore, the slope of the line is;

m =320

Then the y- intercept is 1500

Hence, The slope of the equation and y- intercept​ is 320 and 1500 respectively.

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Answer:

3/16

Step-by-step explanation:

you do length x width x height, and get 3/16

Answer:

Original number = 54

Reversed number = 45

Step-by-step explanation:

Let the tens place digit be x and unit's place digit be y.

Therefore, required no. = 10x + y

Number obtained after interchanging the digits = 10y + x

According to the given condition:

\(10y+ x = \frac{5}{6} (10x + y) \\ 6(10y + x) = 5(10x + y) \\ 60y + 6x = 50x + 5y \\ 60y + 6x - 50x - 5y = 0 \\ 55y - 44x = 0 \\ 11(5y - 4x) = 0 \\ 5y - 4x = 0.....(1) \\ according \: to \: the \: second \: condition \\ x - y = 1 \\ x = y + 1....(2) \\ from \: equations \: (1) \: and \: (2) \\ 5y - 4(y + 1) = 0 \\ 5y - 4y - 4= 0\\ y - 4 = 0 \\ y = 4 \\ substituting \: y = 4 \: in \: equation \: (2) \\ x = 4 + 1 \\ x = 5 \\ \\ 10x + y = 10 \times 5 + 4 = 50 + 4 = 54 \\ 10y + x = 10 \times 4 + 5 = 40 + 5 = 45 \\ \)

The given integral, ∫sin(x^2) dx, does not have an elementary antiderivative and cannot be expressed in terms of elementary functions. Therefore, it cannot be evaluated using standard methods of integration.

Hence, the answer is C. X, indicating that the exact value of the integral is unknown or cannot be determined.

The integral ∫sin(x^2) dx belongs to a class of integrals known as "non-elementary" or "special" functions. These types of integrals often require advanced techniques or specialized functions to evaluate them. In some cases, numerical methods or approximation techniques can be used to estimate the value of the integral. However, without specific limits of integration provided, it is not possible to determine the exact value of the integral in this case. Thus, the answer remains unknown or indeterminate, represented by the option C. X.

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Answer:

khanya pays higher

Step-by-step explanation:

You have to find the $/hr ratios:

khanya's is 480/8->$60/hr

rex's is 660/12->%55/hr

Khanya pays the higher rate

Answer:

I’m pretty sure x=6

Step-by-step explanation:

The flow rate of water in each steel pipe at 25°C is as follows:

Pipe 1: 1.2 ft³/s

Pipe 2: 0.3 ft³/s

Pipe 3: 0.3 ft³/s

Pipe 4: 0.6 ft³/s

To calculate the flow rate of water in each steel pipe, we need to consider the properties of the pipes and the lengths of the sections through which the water flows. The schedule 40 pipes mentioned in the question are commonly used for various applications, including plumbing.

Given the lengths of each pipe section, we can calculate the total equivalent length (sum of all lengths) to determine the pressure drop across each pipe. Since the question mentions ignoring minor losses, we assume that the flow is fully developed and there are no significant changes in diameter or fittings that would cause additional pressure drop.

Using the flow rate formula Q = ΔP * A / √(ρ * (2 * g)), where Q is the flow rate, ΔP is the pressure drop, A is the cross-sectional area of the pipe, ρ is the density of water, and g is the acceleration due to gravity, we can calculate the flow rates.

Considering the given data, we can directly assign the flow rates to each pipe:

Pipe 1: 1.2 ft³/s

Pipe 2: 0.3 ft³/s

Pipe 3: 0.3 ft³/s

Pipe 4: 0.6 ft³/s

The flow rate of water in each steel pipe at 25°C is determined based on the given information. Pipe 1 has a flow rate of 1.2 ft³/s, Pipe 2 and Pipe 3 have flow rates of 0.3 ft³/s each, and Pipe 4 has a flow rate of 0.6 ft³/s. These values represent the volumetric flow rate of water through each pipe under the specified conditions.

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The number of people that gave the modal response is given as follows:

14 people.

(considering the number of people who said that they speak French).

The mode of a data-set is the observation that appears the most times in the data-set.

We have that each circle represents four people, hence the number of people for each response is given as follows:

The modal response is French, which 14 people answered.

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