Solve this question please

Solve This Question Please

Answers

Answer 1

The expansion of the polynomial is given as:

[tex](5x^3+\frac{14}{3x^4})=15625x^{18}+87500x^{11} +\frac{612500}{3}x^3+\frac{6860000}{27x^3}+\frac{4802000}{27x^{10}}+\frac{5378280}{81x^{17}}+\frac{7529536}{729x^{24}}[/tex]

What is an equation?

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

The expansion is given as:

[tex](5x^3+\frac{14}{3x^4})=15625x^{18}+87500x^{11} +\frac{612500}{3}x^3+\frac{6860000}{27x^3}+\frac{4802000}{27x^{10}}+\frac{5378280}{81x^{17}}+\frac{7529536}{729x^{24}}[/tex]

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Related Questions

what is the volume of a triangular prisim if the length is 4cm heigght is 3cm and width is 11cm

Answers

Volume is a three-dimensional scalar quantity. The volume of the triangular prism is 66cm².

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given the length of the triangle is 4cm, while the width of the triangle is 11cm, therefore, the area of the base of the triangle will be,

Area of triangle = 0.5 × 4cm × 11cm

Area of triangle = 22 cm²

Now, the volume of the prism with a base area of 22cm² and a height of 3 cm is,

Volume of the triangular prism = 22cm² × 3cm = 66cm³

Hence, the volume of the triangular prism is 66cm².

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PLEASE HELP ASAP!!!!!!!!!
Prove the trigonometric identity.

tanx+cotx/cscx cosx=sec^2x

Drag an expression to each box to correctly complete the proof.

Answers

The proof will be given as:- [tex]\dfrac{tanx+Cotx}{Coscx Cosx} = Sec^2x[/tex].

What is trigonometry?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The proof will be given as:-

[tex]\dfrac{tanx+Cotx}{Coscx Cosx} = \dfrac{tanx}{coscxCosx}+\dfrac{Cosx}{CoscxCosx}\\\\[/tex]

     

[tex]\dfrac{tanx+Cotx}{Coscx Cosx} =\dfrac{\dfrac{Sinx}{Cosx}}{\dfrac{Cosx}{Sinx}}+\dfrac{\dfrac{Cosx}{Sinx}}{\dfrac{Cosx}{Sinx}}[/tex]

[tex]\dfrac{tanx+Cotx}{Coscx Cosx} = \dfrac{Sin^2x}{Cos^2x}+1[/tex]

[tex]\dfrac{tanx+Cotx}{Coscx Cosx} = tan^2x+1}[/tex]

[tex]\dfrac{tanx+Cotx}{Coscx Cosx} =Sec^2x[/tex]

Therefore the proof will be given as:- [tex]\dfrac{tanx+Cotx}{Coscx Cosx} = Sec^2x[/tex].

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The davidson family wants to expand its rectangular patio, which currently measures 15 ft by 12 ft. they want to extend the length and width the same amount to increase the total area of the patio by 160 ft2. which quadratic equation best models the situation? a = lw (15)(12) (x)(x) = (15)(12) 160 (15x)(12x) = (15)(12) 160 2(15 x) 2(12 x) = (15)(12) 160 (15 x)(12 x) = (15)(12) 160

Answers

Answer:

160

Step-Step Explaining:

So I Know This ⏩ ⏩

PLEASE HELP
Mary is three times as old as her son. In 12 years, Mary's age will be one year less than her son's age. How old is each now?

Answers

Answer:

Son's Age: 11

Mary's Age: 33

Step-by-step explanation:

Let set Mary and her son as variables,

M = Mary's age

S  = Mary's son age

Breakdown:

"Mary is three times as old as her son"

M = 3S

"In 12 years, Mary's age will be one less than twice her son's age"

M + 12 = 2(S + 12) - 1

we add 12 to both sides as it will be in 12 years for both

We know that M = 3S, so we plug this in

3S + 12 = 2(S + 12) - 1

Now solve for S (son's age),

3S + 12 - 12 = 2(S + 12) - 1 - 12

3S = 2(S + 12) - 13

3S = 2S + 24 - 13

3S - 2S = 2S - 2S + 24 - 13

S = 24 - 13

S = 11

To find Mary age, plug in her son age ,

M = 3S

M = 3(11)

M = 33

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inequalities i need help question is in picture

Answers

Answer:

19-73 19-73 is fine thanks 70-65-46 024 465 8554 48-57

A​ _________________ is a numerical measurement describing some characteristic of a population.

Answers

Answer:

parameter

Step-by-step explanation:

John ordered a caramel tea and he was lucky enough it was 20% off so if the original price was $5.75 how much does it cost??

Answers

4.45 is the correct answer please like this i really need it

Can someone please help me

Answers

Answer:

minimum value is 3, maximum value is 4.459

Step-by-step explanation:

[tex] log_{2}(8) = \frac{ log(8) }{ log(2) } = 3[/tex]

[tex] log_{2}(22) = \frac{ log(22) }{ log(2) } = 4.459[/tex]


someone help me get outta summer school slope? And y intercept?

Answers

Okay bud I’m not sure how about it or what if we are all the good ones you have that to me and my brother wants to go buy a new one and then go back to church class today or what do you want it to be in a big deal if we can get some stuff done then I’ll do the work I have for that you don’t want to me I don’t know how you want it I know but it’s like I don’t know why I’m not

Find the product (-4/9) - (-3/8)

Answers

6.0000000001

Ans right

can someone please help mee i need the right answers please(30 points and i will give brainliest!!!)

Answers

Step-by-step explanation:

Funtion-A:

Given:

[tex]y = {x}^{2} - x - 6[/tex]

To find the x-intercepts set y to 0 and solve for x which is done below:

⇒x²-x-6=0⇒(x-3)(x+2)=0X=3 and -2

Therefore x-intercepts:(3,0),(-2,0)

To figure out the y-intercept , substitute 0 for x and simplify

⇒y=0²-0-6⇒y=-6

Hence, The y-intercept is (0,-6)

The vertex (0.5,-6.25)

(skipped the steps as you've already figured it out)

Function-B:

Likewise A:

X-intercepts:

⇒-x²+x+6=0⇒x²-x-6=0⇒x=3 and -2

Therefore,x-intercepts:(3,0),(-2,0)

Y-intercept:

⇒y=-0²+0+6

⇒y=6

Therefore, y-intercept (0,6)

The vertex:(0.5,6.25)

Inspection of the Parabolas:

The difference between the two parabolas is that The blue parabola is the result of reflection over x-axis of the red one.

Answer:

a.

The x-intercepts are 3 and -2

The y-intercept is -6

The vertex is (1/2 , -25/4)

b.

The two parabola are symmetric across the x-axis

Step-by-step explanation:

x² - x - 6

[tex]=x^{2}-2\times \frac{x}{2} +\frac{1}{4} -\frac{1}{4}-6[/tex]

[tex]=(x-\frac{1}{2} )^{2} -(\frac{1}{4}+6)[/tex]

[tex]=(x-\frac{1}{2} )^{2} -\frac{25}{4}[/tex]

The x-intercepts :

(x-1/2)² = 25/4

Then

x - 1/2 = 5/2 or x - 1/2 = -5/2

Then

x = 3 or x = -2

The y-intercepts :

We get the y-intercept by replacing x by 0 in the trinomial :

0² - 0 - 6 = -6

b.

we notice that :

-x² + x + 6 = -(x² - x - 6)

Then

-x² + x + 6

[tex]=-(x-\frac{1}{2} )^{2} +\frac{25}{4}[/tex]

The x-intercepts :

[tex]-(x-\frac{1}{2} )^{2} +\frac{25}{4}=0[/tex]

⇔ (x-1/2)² = 25/4

Then

x - 1/2 = 5/2 or x - 1/2 = -5/2

Then

x = 3 or x = -2

The y-intercepts :

We get the y-intercept by replacing x by 0 in the trinomial :

0² + 0 + 6 = 6

-40 represents the height of a subway 40 feet below ground level. 40 represents the height of a kite 40 feet above ground level what does the zero rpresent in this situation

Answers

Answer:

0 represents the ground level

Explain how to write an algebraic expression that
represents the situation.
The strawberries were split evenly into four bags.

Answers

Answer:

x divided by 4

Step-by-step explanation:

4 bags

O O

O O

strawberries would go in each

so lets say like 24 strawberries

24 (x) / 4 = 6

so six strawberries a bag

hope this helps like put a picture in your head

A single die is rolled. How many ways can you roll a number that is prime,
followed by a number less than 6? (Remember that 1 is not a prime number.)

Answers

Answer:

3 different ways

Step-by-step explanation:

2, 3, and 5 are all prime numbers under 6

Shea and Chris drive to work.
Shea drives 30 miles in 1.25 hours.
Chris drives 62 km in 1 hour 15 min.
Work out the difference between their average speeds in km/h.
1 mile = 1.6 km

Answers

Answer:

11.2 km/hr

Step-by-step explanation:

Shea's speed: 48km/1.25hr=38.4 km/hr

Chris's speed: 62km/1.25hr= 49.6 km/hr

Vav= 49.6-38.4= 11.2 km/hr

Triangle BDC is isosceles.

Circle A is shown. Line segments A B, A C, and A D are radii. Lines connect each of the points on the circle to the other points to form a triangle. Sides C B and B D are congruent.

Which angle is congruent to ?

Answers

As per the question, the answer is ∠CAB is congruent to ∠BAD.

The isosceles triangle :

An isosceles triangle named BDC is positioned within a circle. The segments of the circle they pass through are congruent because the faces of the triangles BC and BD are congruent, or identical.

Due to the triangle's faces BC and BD being identical and congruent

BC=BD

Additionally, the segments of the circle it goes across are congruent.

In the case of ΔBAC & ΔBAD

AC=AD= the radius of the circle

AB=BA

Thus, BAC is consistent with BAD according to SSS guidelines.

As a result, the central angles of the sections are also congruent; hence, BAD and CAB are congruent.

As a result, ∠BAD is equivalent to ∠BAC OR ∠CAB.

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Answer:

B on edge

Step-by-step explanation:

CAD

The graph of a function f(x) is shown. What is the value of x where f(x) = -5? And f(0)?

Answers

Answer:

x = -3 when f(x) = -5

f(0) = 3

Step-by-step explanation:

When f(x) = -5, that means they have told you the y value. When y = -5, x = -3.

If the number is in the parentheses of the function, they are giving you the x value. When x  = 0, y = 3

express the set x < 1 using interval notation

Answers

Answer:

(−∞,1)

Step-by-step explanation:

what is the measure of easy interior angle of a regular octagon?

Answers

The sum of the interior angle is 1080 and each angle measure is 135 degrees.

What is a regular polygon?

A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.

We have an octagon

In an octagon the number of sides = 8

The sum of the angles in the octagon is given by:

= (n - 2)×180

n = 8

= (8 - 2)180

= 6×180

The sum of the interior angle = 1080

Each angle = 1080/8 = 135 degree

Thus, the sum of the interior angle is 1080 and each angle measure is 135 degrees.

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Error Analysis Your classmate
says she drew HJ as an altitude of
triangle ABC. What error did she make?

Answers

Answer:

Step-by-step explanation:

Remark

An altitude is a very special line. It must start from one of the angles and connect with the side opposite that angle. The connection must form a right angle.

It cannot start anywhere else -- certainly not in the middle of a line which would make the altitude of random importance. It could not be accurately reproduced.

Betty has the option of using three types of tables in her coffee shop:

square tables with a side length of 36 inches
rectangular tables 20 inches wide and 73 inches long
round (circular) tables with a diameter of 42 inches.

Which type of table has the largest area?

a.)
Square tables

b.)
Rectangular tables

c.)
Round tables

d.)
The tables all have the same area.

Answers

Answer:

The rectangular table

Step-by-step explanation:

Square table: 36*36=1296

Rectangular table: 20*42=1460 [tex]in^{2}[/tex]

Circular table: [tex]\pi * 21^{2}[/tex]≅1384

what is the domain of the following function: y=x^-5 + (x-1)

Answers

Answer:

Step-by-step explanation:

find the gradient of the line joining the points (0,2) and (-2,-4)

Answers

Answer:

m = 3

Step-by-step explanation:

Gradient of a line is given by the formula

m= (y2-y1) /(x2-x1) which is change y divided by change in x

m = (-4-2)/(-2-0)

m = -6/-2

m = 3

Answer: the gradient is 3

Step-by-step explanation:

for a full explanation refer to the document and the ones written colorfully are the explanation. So, if you want just the workings they are the ones written in black.

and I drew an eye! Have a nice day!

Solve for x
3x² - 5x + 6 = 10 - 4x​

Answers

Answer: [tex]-1, \frac{4}{3}[/tex]

Step-by-step explanation:

[tex]3x^{2}-5x+6=10-4x\\\\3x^{2}-x-4=0\\ \\ (x+1)(3x-4)=0 \\ \\ x=\boxed{-1, \frac{4}{3}}[/tex]

Answer:

x = -1
x = 4/3

Step-by-step explanation:

Hello!

First, let's convert the equation into Standard Form: [tex]ax^2 + bx + c = 0[/tex]

[tex]3x^2 - 5x + 6 = 10 - 4x[/tex][tex]3x^2 - x - 4 = 0[/tex]

We can solve this by factoring the quadratic. We have to find two numbers that multiply to [tex]ac[/tex] but add up to [tex]b[/tex].

ac = -12b = -1

The two numbers would be -4 and 3. We can expand -x to -4x + 3x, and then factor by grouping.

Factor[tex]3x^2 - x - 4 = 0[/tex][tex]3x^2 +3x - 4x - 4 = 0[/tex][tex]3x(x + 1) - 4(x + 1) = 0[/tex][tex](3x - 4)(x + 1) = 0[/tex]

Use the Zero Product Property. Set each factor to zero and solve for x.

3x - 4 = 03x = 4x = 4/3

x + 1 = 0x = -1

The solutions to the quadratic are -1 and 4/3.

All of the details to the question are in the picture that is attached in this question, please helpp

Answers

Answer:

10

Step-by-step explanation:

The arc length of the semicircle is

a+(a+1)+(a+2)+(a+3)+(a+4)=5a+10

As x = 42, this means a+4 is 42/180 of the arc length of the circle, 5a+10.

So,

(42/180)(5a+10)=a+442(5a+10)=180(a+4) [multiply both sides by 180]210a+420=180a+720 [distributive property]30a+420=720 [subtract 180a from both sides]30a=300 [subtract 420 from both sides]a=10 [divide both sides by 30]

A triangle has points monkeys, giraffes, lions. The distance between lions and monkeys is 11 feet and monkey and giraffes is 16 feet. The distance between lions and giraffes is the hypotenuse of x feet.
Which equations will find the distance between the lions and giraffes? Select all that apply.
11+16 = c
112+ 162 = c2
c2+ 162 = 112
121+ 256 = c2

Answers

Pythagoras' theorem is a basic relationship between the three sides of a right triangle in Euclidean geometry. The correct option is D.

What is Pythagoras theorem?

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.

A triangle has points to monkeys, giraffes, and lions. The distance between lions and monkeys is 11 feet and between monkeys and giraffes is 16 feet. The distance between lions and giraffes is the hypotenuse of x feet. The equation that will find the distance between the lions and giraffes is,

c² = 11² + 16²

c² = 121 + 256

c² = 377

Hence, the correct option is D.

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Answer:

D on edge) 121+ 256...

Solve: 7 x + 2 y = 16; -21 x-6 y = 24 Solve : 7 x + 2 y = 16 ; -21 x - 6 y = 24​

Answers

Answer:

No solution

Step-by-step explanation:

Solving system of linear equations:

 7x + 2y = 16 ----------------(I)

-21x - 6y = 24 -----------------(II)

[tex]\sf \dfrac{a_1}{a_2}=\dfrac{7}{-21}=\dfrac{-1}{3}\\[/tex]

[tex]\sf \dfrac{b_1}{b_2}=\dfrac{2}{-6}=\dfrac{-1}{3}[/tex]

[tex]\sf \dfrac{c_1}{c_2} =\dfrac{16}{24}=\dfrac{2}{3}\\\\ \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2} \neq \dfrac{c_1}{c_2}[/tex]

So, the lines are parallel and has no solution

The driving distance between Manchester and London is 195 miles. Farid intends to travel from Manchester to London by coach. The coach will leave Manchester at 3.30pm.

Farid assumes that the coach will travel at an average speed of 50mph

A)Using his assumption, work out Faris's arrival time at London.

It actually turns out that the coach has a lower average speed.

B)Describe how this affects the arrival time

Answers

Answer:

7:24pm

Step-by-step explanation:

At 50 mph, it will take 195/50 = 3.9 hours to reach London

3.9 hours = 3 .9 * 60 = 3 hours and 54 minutes(54 = 0.9 * 60 )

3:30 + 3:34 ==> 7:24

(one way to do this is to add up the hours and minutes separately so we get 6:84) Since 84 minutes = 1 hour and 24 minutes, just add 1:24 to 6 to get 7:24

Another way to do this is to see that if the distance was 200 miles, then it would take exactly 4 hours (200/50) to reach at 7:30pm But it is short by 5 miles. At the speed of 50mph, the time taken to travel 5 miles = 60/50 * 5 = 6 minutes so deduct 6 minutes from 7:30pm to get 7:24pm

If the train is slower average speed, then the arrival time is delayed beyond 7:24pm

Eva has put down three rows of tiles across the width of the kitchen. Each square tile is 17.5 cm wide. Between the tiles she puts a layer of glue 4mm thick. work out the total length of the floor that Eva's three rows of tiles cover so far.

Answers

17.5 x 3 = 52.5
4 x 4 = 16
16 + 52.5 = 68.5
So the answer is 68.5cm

5. In an arithmetic sequence, the fifth term is 44 and the ninth term is 80.(a) Find the common difference. (b) Find the first term. (c) Find the sum of the first 50 terms of the sequence.​

Answers

Step-by-step explanation:

first you should do is that find the common difference which is 9

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The function g is related to one of the parent functions g(x) = |x 1| + 5 a.) Identify the parent function f. b.) Use function notation to write g in terms of f. find the value of x in the figure below 139 9x 71 5x 92 Who..... (enjoy) eating Italian food? I know a good restaurants On a coordinate plane, 2 cube root functions are shown. Function f (x) goes through (negative 3, negative 1.5), has an inflection point at (0, 0), and goes through (3, 1.5). Function g (x) is 2 units to the left of f (x) and has an inflection point at (negative 2, 0). The graph of f(x) = RootIndex 3 StartRoot x EndRoot is shown with g(x). Which equation represents the graph of g(x)?g(x) = RootIndex 3 StartRoot x minus 2 EndRootg(x) = RootIndex 3 StartRoot x + 2 EndRootg(x) = RootIndex 3 StartRoot x EndRoot + 1g(x) = RootIndex 3 StartRoot x EndRoot1 Suppose an mRNA consists of 60 nucleotides; it directs a primary polypeptide chain containing __________ amino acids to be synthesized.A)18B)30C)10 Charlie owns a computer repair service. For each computer, they charge $50 plus $45 per hour of work. A linear equation that expresses the total amount of money Charlie earns per computer is y=50+45x. What are the independent and dependent variables? What is the y-intercept and the slope? Ving tools to form the correct answer on the graph.Graph the line that represents this equation:y + 2 =(x+2)Drawing ToolsSelectPointLineClick on a tool to begin drawing.10N27 An ice freezer behind a restaurant has a freon leak, releasing 31.68 g of C2H2F3Cl into the air every week. If the leak is not fixed, how many kilograms of fluorine will be released into the air over 6 months Does anyone know the answer What does viscosity describe maximum value of P+4x+5y+21 given the following: y-x-4 The force exerted on the tires of a car that directly accelerate it along a road is exerted by the Five hundred ten of 650 high school students said that pizza was their favorite food in the school cafeteria. what is the margin of error? round to four decimal places. 0.0005 0.0003 0.0161 0.0322 1. What was the purpose of profiling young people in fed up? The "chew" in chewing gum originates in the tropical rain forest. Workmen make an incision in the bark of certain trees and use cups to collect the milky latex that oozes out. Latex from the rubber tree is used to make bubble gum. The latex gives the gum the strength and elasticity needed to blow large bubbles that will not break. Which of the following best summarizes the passage above? OA. Workmen usually cut into the bark of a tree to get the latex. Then, the latex is used in gum. OB. There are many kinds of trees in the tropical rain forests. One kind of tree is the rubber tree. OC. Latex makes bubble gum chewy. The latex comes from rubber trees in the rain forest. OD. Certain trees have this milky latex substance in them. It comes from underneath the bark. Reset Submit whar are the social evils ? If x + 1/x = 102, then x -1/x =a) 10b) 8c) 13d) 12 What is an undefined term in geometry?OA. A sentence that asserts a factOB. A term that has no formal definition, but is used to define othertermsOC. A clause preceded by "if" in a conditional statementOD. A statement in which the hypothesis and conclusion are switched what energy is transferred during translation What is the term for thin, stained slice of tissue mounted on a microscope slide?