Divide (x^5+15x^4+54x^3-25x^2-75x-42) by x+8

Please show all work

to simplify combine all like terms

6m +5m = 11m

7n-3n = 4n

 so it would be 11m+4n

It would take approximately 2284.722 hours to defeather 7728 chickens.

To find out how many hours it would take to defeather 7728 chickens, we need to consider the time it takes to pluck a certain number of feathers. We are given that it takes 5.6 seconds to pluck 24.8 feathers. First, we find the time it takes to pluck one feather by dividing the time by the number of feathers: 5.6 seconds ÷ 24.8 feathers = 0.2258 seconds per feather.

Next, we find the total number of feathers on 7728 chickens by multiplying the feather count per chicken by the total number of chickens: 4725 feathers/chicken × 7728 chickens = 36,396,000 feathers.

Finally, we find the total time it would take to defeather all the chickens by multiplying the time per feather by the total number of feathers: 0.2258 seconds/feather × 36,396,000 feathers = 8,224,996.8 seconds. Converting this to hours, we divide by the number of seconds in an hour: 8,224,996.8 seconds ÷ 3600 seconds/hour ≈ 2284.722 hours.

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Answer:

B. 2236square inches

Step-by-step explanation:

Formula for calculating the area of a triangle = 1/2 × base × height.

According to the triangle,

Base = QR = 86inches

Height = 52inches

Area of ∆PQR = 1/2 × 86 × 52

Area of ∆PQR = 43 × 52

Area of ∆PQR = 2236square inches

Answer:

A.The horse hair is 2 times as thick as the human hair.

Step-by-step explanation:

We have been given that Mateo is studying a human hair with a diameter of [tex]6.5\times 10^{-4}[/tex] inches and a horse hair with a diameter of [tex]1.3\times 10^{-3}[/tex] inches.

Since proportions states that two fractions are equal, So we will use proportions to solve our given problem.

[tex]\frac{\text{Diameter of horse hair}}{\text{Diameter of human hair}}=\frac{1.3\times 10^{-3}}{6.5\times 10^{-4}}[/tex]

[tex]\text{Diameter of horse hair}=\frac{1.3\times 10^{-3}}{6.5\times 10^{-4}}\times \text{Diameter of human hair}[/tex]

Now we will quotient rule of exponents to simplify our given problem.

[tex]\text{Diameter of horse hair}=\frac{1.3\times 10^{-3--4}}{6.5}\times \text{Diameter of human hair}[/tex]

[tex]\text{Diameter of horse hair}=\frac{1.3\times 10^{-3+4}}{6.5}\times \text{Diameter of human hair}[/tex]

[tex]\text{Diameter of horse hair}=\frac{1.3\times 10^{1}}{6.5}\times \text{Diameter of human hair}[/tex]

[tex]\text{Diameter of horse hair}=\frac{13}{6.5}\times \text{Diameter of human hair}[/tex]

[tex]\text{Diameter of horse hair}=2\times \text{Diameter of human hair}[/tex]

We can see that the diameter of horse hair is 2 times the diameter of human hair. Therefore, the horse hair is 2 times as thick as the human hair and option A is the correct choice.

Answer:

Step-by-step explanation:

Alright, lets get started.

The sides of nonagon are given as below :

13

8

5

11

10

9

10

7

21

So, the perimeter will be addition of these sides.

Hence he perimeter is = [tex]13+8+5+11+10+9+10+7+21 = 94[/tex]

Hence the perimeter is 94 units (D)   :  Answer

Hope it will help :)

The angles of the triangle will be 70°, 30°, and 80°.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

We know that the sum of the interior and the exterior angles is 180 degrees.

Two exterior angles of a triangle equal 100° and 150°.

The interior angle corresponding to the exterior angle of 100° will be

⇒ 180° - 100°

⇒ 80°

The interior angle corresponding to the exterior angle of 100° will be 80°.

The interior angle corresponding to the exterior angle of 150° will be

⇒ 180° - 150°

⇒ 30°

The interior angle corresponding to the exterior angle of 150° will be 30°.

Then the third angle of the triangle will be

⇒ 180° - 80° - 30°

⇒ 70°

The angles of the triangle will be 70°, 30°, and 80°.

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The equation of the parabola if the vertex is put at the origin of the coordinate system is y =-32/27x^2

The height of the arch is given s:

height = 96 ft

The width of the base is given as:

width = 18 ft

A point on the building would be

(x,y) = (width/2, height)

So, we have:

(x,y) = (18/2, 96)

Simplify

(x,y) = (9, 96)

A parabola is represented as:

y = -a(x - h)^2 + k

The vertex of the parabola is at the origin.

So, we have:

y = -ax^2

Substitute (x,y) = (9, 96)

96 = -a * 9^2

This gives

96 = -81a

Divide both sides by 81

a= -96/81

So, the equation of the parabola is

y =-96/81x^2

Simplify

y =-32/27x^2

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Answer: 216 guests.

Step-by-step explanation: We are given total number of cases = 2 Number of cans.

Number of cans per case = 12 cans.

Total number of cans in 2 cases = 2 cases × 12 cans = 24 cans

Each can contain = 54 oz of juice.

24 cans would contain total = 24 cans × 54 oz per can = 1296 oz juice.

Number of oz per serving = 6 oz.

Total number of guests can be served = 1296 oz / 6 oz per serving = 216 guests.

Final answer:

The speed of the cyclist is 16 km/h and she will travel a distance of 32 kilometers in 2 hours.

Explanation:

To convert the speed from miles per hour (mph) to kilometers per hour (km/h), we can use the conversion factor of 1 mile = 1.6 kilometers. So, if a cyclist rides her bike at a speed of 10 mph, we can multiply 10 by 1.6 to find the speed in km/h. Therefore, the speed of the cyclist is 16 km/h.

To calculate the distance traveled in 2 hours, we can use the formula: distance = speed × time. Since the speed of the cyclist is 16 km/h and the time traveled is 2 hours, we can multiply 16 by 2 to find the total distance. Therefore, the cyclist will travel 32 kilometers in 2 hours

Final answer:

To convert the speed from miles per hour (mph) to kilometers per hour (km/h), multiply the speed by the conversion factor. The cyclist will travel 32 kilometers in 2 hours.

Explanation:

To convert the speed from miles per hour (mph) to kilometers per hour (km/h), we can use the conversion factor of 1 mile = 1.6 kilometers. Thus, if the cyclist rides at a speed of 10 mph, we can find the speed in km/h by multiplying it by the conversion factor:

Speed (km/h) = Speed (mph) x Conversion factor

Speed (km/h) = 10 mph x 1.6 km/mi = 16 km/h

Next, to calculate the distance the cyclist will travel in 2 hours, we can use the formula:

Distance = Speed x Time

Distance = 16 km/h x 2 hours = 32 kilometers

Answer:

The two friends will be 150 miles apart in 2 hours

Step-by-step explanation:

The two friends left the school at the same time and drove in opposite directions. One of them have a speed of 40 miles per hour while the other have a speed of 35 miles per hour .

The both of them are moving apart at the rate  = 40 + 35 = 75 miles per hour

let

t = time at which they are 150 miles apart

speed = distance/time

time  = distance/speed

time = 150/75

time = 2 hours

The two friends will be 150 miles apart in 2 hours

Answer:

The probability that, in a group of 10 people, 4 of them eat yogurt daily is 0.067

Step-by-step explanation:

In this case we can apply a Binomial distribution in which there are n events and every event have a probability p to get a success. Then, the probability of x is:

[tex]P(x)=nCx*p^{x}*(1-p)^{n-x}[/tex]

Where x is the number of people who eat yogurt daily, n is the total number of people and p is the probability of eats yogurt daily.

Additionally nCx is calculated as:

[tex]nCx=\frac{n!}{x!(n-x)!}[/tex]

So, for the question we know that:

n=10

p=0.18

x=4

Replacing this values on the equation, we get:

[tex]P(4)=10C4*0.18^{4}*(1-0.18)^{10-4}[/tex]

P(4)=0.067

Finally, the probability that, in a group of 10 people, 4 of them eat yogurt daily is 0.067

Answer with explanation:

The  number in which we have to add  a number to give irrational = 0.5

    [tex]0.5=\frac{5}{10}\\\\=\frac{1}{2}[/tex]

is a Rational Number as the decimal expansion terminates or denominator contains the number in the form of [tex]2^n \text{or} 5^m \text{or} 2^n \times 5^m[/tex].

→Sum of two Rationals Can't be a Irrational Number.

→Sum of Rational And Irrational is Irrational.

So, if you add any Irrational number like √2,π,∛2 to , 0.5  , it will give an Irrational Number.

⇒0.5 +Irrational Number=Irrational Number

Answer:

40,320.

Step-by-step explanation:

We are asked to find the number of ways in which 8 books could be arranged on a shelf.

The 1st could be arranged in 8 ways. Since one place is filled, so 2nd book could be arranged in 7 ways.

Similarly, the 3rd book could be arranged in 6 ways as first two places are already taken. This process will go on.

So the 8 books can be arranged in [tex]8\times 7 \times 6\times5\times4\times3\times2\times1=8![/tex]

[tex]8!=40,320[/tex]

Therefore, 8 books could be arranged in 40,320 ways.

The number of ways to arrange 8 books on a shelf is 40,320.

How many ways can 8 books be arranged on a shelf?

There is total number of books is 8.

Then,

The arranging the way of 8 books also be 8.

If one of the 8 books is placed in the first place, only 7 of them can be placed in 2nd place. In 3rd place, only 6 of them can be placed.

This continues all the way to 1.

Then,

The number of ways to arrange 8 books on a shelf is,

[tex]= 8!\\ \\ = 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1\\ \\ =40,320 [/tex]

Hence, The number of ways to arrange 8 books on a shelf is 40,320.

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#6 is using using ratios:

7/2x+4 = 4/x+3 =

8x+16 =7x+21 =

8x=7x+5 =

x=5

AC = 2(5)+4= 14 + 5+3=8, 14+8 =22

#7

ratio of known sides 9/4 =2.25 now multiply other 2 sides by 2.25

7*2.25 = 15.75

9*2.25=20.25

perimeter = 9 +15.75+20.25 = 45

Answer:

f(1) = 8 and f(n) = f(n − 1) + 6; n > 1

Answer:

answer is C. 0

Step-by-step explanation:

Final answer:

The barge can hold 28,350 cubic feet of bulk items when filled to 75% of its depth, calculated by using the volume formula for a rectangular prism.

Explanation:

To calculate the volume of bulk items the barge can hold, we first determine the maximum height to which it can be filled. This is 75% of the barge's depth. Therefore, the fill height is 75% of 12 feet, which equals:

0.75 × 12 ft = 9 ft.

The volume V that the barge can hold is given by the formula for the volume of a rectangular prism:

V = length × width × height

Substituting the given dimensions and the fill height into the formula, we get:

V = 90 ft × 35 ft × 9 ft = 28,350 ft³.

So, the barge can hold 28,350 cubic feet of bulk items when filled to 75% of its depth.

Answer:

CORRECT ANSWER ON PLATO: -6,7

Step-by-step explanation:

Final answer:

The algebraic expression for 5 times a number is 5x.

Explanation:

The algebraic expression for 5 times a number is 5x.

The variable x represents the unknown number.

When you multiply 5 by any number, you can represent it as 5 times that number.

So, if the number is 10, the expression would be 5 times 10, which is equal to 50.

Yes , A ≅ D and AB ≅ DE

Yes, they are congruent by either AAS or ASA.

What are Congruent Triangles?

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

•  Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

•  Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

•  A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

From the given data ,

AB ≅ DE

and , ∠BAC = 33°

∠EDF = 33°

Therefore by rules of congruent triangles

The two angles are the same and the corresponding sides are same

Hence , The two triangles ΔABC and ΔDEF are congruent

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The given polynomial 10x^4-3w^3+7w+5y^5-4 has a degree of 5 as the highest power of variable is 5. Also, it has five terms, hence it is neither a monomial, binomial nor trinomial.

The polynomial in question is 10x4-3w3+7w+5y5-4. The degree of a polynomial is determined by the highest power of the variable in the polynomial. Here, the highest powers are 4 (from 10x4) and 5 (from 5y5). Since 5 is larger than 4, the degree of the polynomial is 5.

Furthermore, the given polynomial has five terms, so it is not a monomial, binomial or trinomial. These terms refer to polynomials with one, two, or three terms respectively. Therefore, the given polynomial does not fall under any of these categories.

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