find the sum of x^4 + 2x^2 1 and 3x^3 + 2x^2 + 4

Answer:

8

Step-by-step explanation:

2,3,5,11,13,14

Mean= 8

Standard deviation= 4.830

The numbered spot at which all the runners will be next to one another is spot 19.

Least Common Multiple is the meaning of the acronym LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers. It may also be computed using two or more real numbers.

Starting with the runner on the outside track, the provided parameters are;

The runner covered n₁ = 5 places on the outside track, which is the number of spaces.

Next, the inner runner will traverse n₂ spaces, which equals one space.

The following inner runner will cover n₃ = 3 spaces.

The subsequent runner will traverse n₄ = 2 spaces.

The Lowest Common Multiple, or LCM, of all the runners' speeds or the total number of spaces they cover in the same amount of time, determines where all the runners will be placed next to one another.

LCM(5, 1, 3, 2) = 30 is the LCM of 5, 1, 3, and 2.

Time = 30/ = 6

Consequently, when the first runner has covered 30 places, we have;

Six time units have been expended.

The runner comes to a stop at position 30- (30 -19) = Position 19.

First runner's new destination is Spot 19.

The distance covered simultaneously by runner 2 is 6 x 1 = 6.

The distance covered by two runners running simultaneously equals six spaces.

Second runner's new position: 6 spaces plus spot 13 equals spot 19.

The combined distance covered by the three runners is 6 x 3 = 18.

The distance runner 3 covers 18 spaces simultaneously.

Third runner's new position: 18 spaces + Spot 1 = 19 spaces

Runner 4 covers a distance of 6 x 2 = 12 at the same time.

Distance runner 4 journeys equals 12 spaces

Runner 4's new position is now 12 spaces Plus Spot 7 = Spot 19.

Therefore, all the runners will be next to one another is spot 19.

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Answer:

(x - 3 i) (x + 3 i) (x + 3)

Step-by-step explanation:

The Least common multiple (LCM)  The time at which both bells will ring together is 10:45 am, and the Subsequent times will be 11:30 am, 12:15 pm, 1:00 pm, and so on, with an interval of 45 minutes between each occurrence.

The time at which both bells will ring together, we need to find the least common multiple (LCM) of the intervals at which each bell rings.

The first bell rings every 45 minutes, and the second bell rings every minute. We want to find the point at which both intervals align, meaning they both divide evenly into the same amount of time.

To find the LCM, we can list the multiples of each interval until we find a common multiple.

Multiples of 45 minutes: 45, 90, 135, 180, 225, 270, 315, 360, 405, ...

Multiples of 1 minute: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, ...

From the lists above, we can observe that the least common multiple occurs when both intervals coincide at the same time, which is 45 minutes.

Thus, the two bells will ring together every 45 minutes.

If we consider the initial adjustment time of 10:00 am, the first time both bells will ring together is at 10:45 am. After that, they will continue to ring together every 45 minutes throughout the day.

Therefore, the time at which both bells will ring together is 10:45 am, and the subsequent times will be 11:30 am, 12:15 pm, 1:00 pm, and so on, with an interval of 45 minutes between each occurrence.

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Answer: 150,000,000

Step-by-step explanation:

Total percentage of editorial + engineering = 20%

Total budget of editorial + engineering = 30,000,000

So, Total budget*20/100 = 30,000,000

Total budget = 5*30,000,000

Total budget = 150,000,000

There were 5 1/4 bags of popcorn left after eating 4 bags.

To find out how much popcorn was left after eating 4 bags, we need to subtract the amount eaten from the total amount Brianna made.

Brianna made 9 1/4 bags of popcorn, which can be represented as a mixed number. To perform calculations, let's convert it to an improper fraction:

9 1/4 = (4 * 9 + 1) / 4 = 37/4

Now, let's subtract the 4 bags eaten from the total:

37/4 - 4

To subtract fractions, we need a common denominator. The common denominator of 4 and 1 is 4. Therefore, we can rewrite the expression as:

37/4 - 4/1

Now, let's find a common denominator and subtract the fractions:

37/4 - 16/4 = (37 - 16) / 4 = 21/4

The result is 21/4, which is an improper fraction. Let's convert it back to a mixed number:

21/4 = 5 1/4

Therefore, there were 5 1/4 bags of popcorn left after eating 4 bags.

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Answer:

Attached is an example of a circle with a radius of 5 and a diameter of 10.

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Have a GREAT day!!!

Answer:

24.8

Step-by-step explanation:

A system of equations to represent this situation include the following:

2x + 2y = 4.40

3x + 4y = 7.80

In order to write a system of equations that model this situation, we would assign variables to the number of bagels and the number of cups of coffee respectively, and then translate the word problem into algebraic equation as follows:

Next, we would translate the word problem into algebraic equation as follows:

Since 2 bagels and 2 cups of coffee cost $4.40, we would have:

2x + 2y = 4.40    .....equation 1.

Additionally, 3 bagels and 4 cups of coffee cost $7.80:

3x + 4y = 7.80    .....equation 2.

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The possibility of selecting a 4 characters long password consisting of 3 letters and one number if letters cannot be repeated and the password must end with a number is 156000

An equation is an expression that shows the relationship between two or more number and variables.

The possibility of selecting the password = 26 * 25 * 24 * 10 = 156000

The possibility of selecting a 4 characters long password consisting of 3 letters and one number if letters cannot be repeated and the password must end with a number is 156000

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The equation shows that the number of toys that must be bought for them to have equal profit will be 212 toys.

From the information, it should be noted that the equation that can be used to represent the information about Jaclyn company will be:

= 2125 + (49.99 × x)

= 2125 + 49.99x

The equation that can be used to represent the information about Richie company will be:

= (39.95 × x)

= 39.95x

Therefore, we will equate both equations:

2125 + 49.99x = 39.95x

49.99x - 39.95x =2125

10.04x = 2125

x = 212

Therefore, the number of toys that must be bought for them to have equal profit will be 212 toys.

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Answer: 3.75 ft

Step-by-step explanation:

30/8=3.75

So since area is A= L*W

8*3.75=30 ft2

Answer:

he/she is right...............

Answer:

(-15$) • 12

Step-by-step explanation:

Because your taking away 15$ from each month, and there's 12 month each year.

I explained each answer choice in the comments bellow.

Answer:

The Naswer is the Last one, D

Step-by-step explanation:

Answer:

200 cm3

Step-by-step explanation:

Multiply 10x4x5=200

Answer:

B

Step-by-step explanation:

Increasing trials promotes the chance of reaching theoretical.

The algebraic expression for the verbal phrase, "7 more than a number b" is translated as: b + 7.

A mathematical statement that is made up of operation signs (-, +), any variable (letters representing unknown quantity or number that varies), and numbers is referred to as an algebraic expression.

Algebraic expression are simplified or short form of translated phrases.

Let us represent the unknown number in the phrase as b.

"7 more than" means "+ 7".

Thus, the verbal phrase, "7 more than b" would be translated into an algebraic expression as:

b + 7.

Therefore, the algebraic expression for the verbal phrase, "7 more than a number b" is translated as: b + 7.

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Point-slope form:

y

−

2

=

−

3

x

+

12

Slope-intercept form:

y

=

−

3

x

+

14

Explanation:

First write a point-slope equation

y

−

y

1

=

m

(

x

−

x

1

)

, where

(

x

1

,

y

1

)

is the given point,

(

4

,

2

)

, and

m

is the slope,

−

3

.

y

−

2

=

−

3

(

x

−

4

)

y

−

2

=

−

3

x

+

12

For graphing, you can convert to the slope-intercept form,

y

=

m

x

+

b

, by solving for

y

, where

m

is the slope and

b

is the y-intercept.

Add

2

to both sides.

y

=

−

3

x

+

12

+

2

y

=

−

3

x

+

14

m

=

−

3

and

b

=

14

graph{y=-3x+14 [-10.72, 9.29, 7.66, 17.66]}

Answer:24x5^29

Step-by-step explanation:

(5^2 -1) x5^29

(25-1)x5^29

24x5^29

The total cost if you buy 2 bottles of liquid soap and 3 sponges is $6.79.

An equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=5x+6. Where:

m= the slope.

b= the constant term that represents the y-intercept.

For the given example: m=5 and b=6.

First, you should convert the given text into an equation. See below.

From previous equations (1) and (2), you can find the unit cost. See below.

If 6b=9.12, you have:

    b=9.12/6

    b=$1.52

If 4s=5.00, you have:

    s=5.00/4

    s=$1.25

Since you know the unit cost for the bottles of soap and the sponges, you can find the total cost if you buy 2 bottles of liquid soap and 3 sponges.

2b + 3s =?

2*1.52+3*1.25

3.04+3.75=6.79

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The rate that is equivalent to the rate at which John drove to San Antonio is 60 miles per hour

From the question, we have the following parameters that can be used in our computation:

John drove from here to San Antonio which is 180 miles away in 3 hours.

This means that

Distance = 180 miles

Time = 3 hours

Using the above as a guide, we have the following:

Speed = Distance/Time

Substitute the known values in the above equation, so, we have the following representation

Speed = 180/3

Evaluate

Speed = 60

Hence. the rate that is equivalent to the rate at which John drove to San Antonio is 60 miles per hour

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Answer:

8

Step-by-step explanation:

you use distance formula

Answer:

6

Step-by-step explanation:

you have to distributw the 4 to the 1/4 so essentially youre multiplying the exponents. think of it as 4*1/4 and youll have 4/4 which equals to 1. 6^1 is just 6 so thats the answer

well first you have to multiply 6 by 1/4 and then you have to do this: 1.5*1.5*1.5*1.5 to get your answer i think....

When the thickness of a textbook is b mm the expressions for:

thickness of 5 stacked textbooks = 5b mm

thickness of each page, if the pages are numbered to 225 = b / 225

The thickness for each of the condition is written as follows

For the thickness of 5 stacked textbooks

= b + b + b + b + b

= 5b

For thickness of each page, if the pages are numbered to 225

In this case division is used to ascertain the thickness of each page in the book. this is done by dividing the total thickness by the number of pages in the book

= b / 225

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Answer:

D

Step-by-step explanation:

The taxi charges $2.00 for any distance less than or up to 1 mile.

Then for every mile after the taxi will charge you a fee of $1.60 dependent upon how many miles you go.

This can be modeled as:

y = 2.00 +1.60(x)

where x is the number of miles after the first mile.

Correct Option is,

D) Buy, because the expected rate is greater than the required rate.

Now, Based on the information you've provided,

To calculate the required rate of return, we can use the SML formula as;

Required rate of return = risk-free rate + beta x (expected market return - risk-free rate)

Plugging in the numbers, we get:

Required rate of return = 8% + 0.85 x (16% - 8%)

                                   = 14.6%

Since the expected rate of return for Stock S is,

= dividend yield + growth rate

= (1.1 / 22 + 8%),

= 9.4%

which is higher than the required rate of return of 14.6%,

Here, the stock is undervalued and would be a good buy.

Therefore, the answer is, option D) Buy, because the expected rate is greater than the required rate.

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Answer:

$18.50

Step-by-step explanation:

because there are 6 people, to find out the total discount, we do:

2.50 x 6 = 15

This means that they saved $15 out of the $96. So, to find out the total before the discount, all we have to do is

96 + 15 = 111

Then, to find the cost of 1 ticket, before discount, we do 111 / 6, which gives us:

$18.50

Hope this helps! If you have any further questions, let me know!

- profparis

Answer:

I don't get it everyone is telling the wrong answers am here to tell you guys and girls the right answer. The answer is :   D     A    B    B   C   your welcome                                                                  

Answer:

Step-by-step explanation:

To calculate the number of students Ms. Sheldon has this year, we need to first find 150% of the number of students she had last year.

150% of 30 students can be found by multiplying 30 by 1.5 (since 150% is the same as 1.5 times the original amount):

30 x 1.5 = 45

Therefore, Ms. Sheldon has 45 students in her class this year.