Multiply the polynomial vertically:
1/2x^2(12x^2 - 4x + 2)

Answers

Answer 1

Step-by-step explanation:

= 1/2x^2.12x^2 - 1/2x^2.4x + 1/2x^2.2

= 6x^4 - 2x^2 + x


Related Questions

find the length of BC

Answers

Answer:

13.3650978628

Step-by-step explanation:

Angle A=180-(Angle B+C)=180-117=63

Here,

b=BC, p=AC & AB=12

Using the relation of cos,

cosx=b/h

cos27=BC/15

15cos27=BC

Using a calculator,

BC=13.3650978628

Factor the Quadratic: 3x^2+12x-36=0

Answers

Answer:

3x ^ 2 + 12x-36 = 0

3(x²+ 4x-12)=0

3(x²-2x+6x-12)=0

3[x(x-2)+6(x-2)]=0

3(x-2)(x+6)=0

⇒[tex]\left \{ {{x-2=0} \atop {x+6=0}} \right.[/tex]⇔[tex]\left \{ {{x=2} \atop {x=-6}} \right.[/tex]

SEE QUESTION IN IMAGE

Answers

Answer:

See below

Step-by-step explanation:

(b)

The table is attached

(i)

The graph is attached

(ii)

(a) Cumulative frequency is 500, median is at 249, 250, the horizontal line from point 250 on y-axis intersecting the graph at approximately 52%, this is the median

(b)  Vertical line from the 45% mark intersects the graph at approximately 177th point. The number of candidates passed the test:

500 - 177 = 323

(iii) P(pass) = 323/500 = 0.626 or 62.6%

The distance from Clinton to Greenville is 124 miles. To find the speed of a car, use the expression d divided t, where d represents the distance and t represents time. Find the speed of a car that travels from Clinton to Greenville in 2 hours

Answers

Step-by-step explanation:

time = 2 hours

distance travelled(d) = 124 miles

so

speed = d/t

=  124/2

= 62 miles per hour

Therefore, the speed of car is 62 miles per hour.

if line 4x+ky=11 and line y=8x-3 are parallel find the value of k
pls help me asap thank you step by step please!!​

Answers

Answer:

k=-1/2

Step-by-step explanation:

u have to change line 4x + ky=11 to this form:

y=11/k-4x/k

then, if 2 lines are parallel, their slopes have to equal

so: 8=-4/k -> k=-1/2

Please help!!! 20 points + brainliest!!
6 + (-47) =

Answers

Well, all we have to do is add, so:

6 + (-47) =

6 - 47 =

-41

Answer:

(-41)

Step-by-step explanation:

Subtract and write big numbers sign.

47 - 6= (-41)

What is the answer ? Help pls

Answers

Answer:

B. 4

Step-by-step explanation:

Given,

[tex] {x}^{8} = {( {2}^{2} )}^{4} [/tex]

Since,

[tex] { ({a}^{x} )}^{y} = {a}^{xy} [/tex]

Then,

[tex] = > {x}^{8} = {2}^{2 \times 4} [/tex]

[tex] = > {x}^{8} = {2}^{8} [/tex]

(Since the exponents are same so the bases will be also same)

Therefore,

=> x = 2

As per condition,

[tex] {x}^{2} [/tex]

(Putting value of x = 2)

[tex] ={2}^{2} [/tex]

= 4 (Ans)

A heron can travel an average of 400 km in 10h. What is the rate of change of distance?

Answers

Rate of change of distance is also known as speed.

Given,

Distance (s) = 400km = 400 × 1000m = 400,000m

Time (t) = 10h = 10 × 3600s = 36,000s

We know that,

Speed (v) = Distance/Time

[tex]=> v = \frac{s}{t} \\ => v = \frac{400000m}{36000s} \\ => v = \frac{400m}{36s} \\ => v = \frac{100m}{9s} \\ => v = \frac{100}{9}m {s}^{ - 2} \\ [/tex]

A heron can travel an average of 400 km in 10 hours. Then the rate of change of distance that is speed is [tex]11.12 ms^{-2}[/tex].

What is the meaning of the term “distance”?

Distance is a measurement of how far apart two things or locations are, either quantitatively or occasionally qualitatively. Distance in physics or common language can refer to a physical length or an estimate based on other factors.

The term is frequently used metaphorically to refer to a measurement of the amount of difference between two similar objects, or a degree of separation as exemplified by distance between people in a social network.

The concept of a metric space is used in mathematics to formalize the majority of such concepts of distance, both literal and figurative.

[tex]Distance (s) = 400km \\= 400 \times 1000m \\= 400,000mTime (t) = 10h \\= 10 \times 3600s \\= 36,000s\\\\Speed = Distance / Time\\= 400000 / 36000\\= 11.12 ms^{-2}[/tex]

Therefore, the rate of change of distance that is speed is [tex]11.12 ms^{-2}[/tex].

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How many natural numbers are between 97 through 256?

Answers

Answer: go to this website https://en.wikipedia.org/wiki/256_(number) it may help you

Step-by-step explanation:

There are 156 natural numbers between 97 and 256.

What are the Natural Numbers?

Natural numbers are defined as refer to a set of all the whole numbers excluding 0. We generally utilize these numbers in our speech and daily activities. Everywhere we look, numbers are used to count things, represent or exchange money, measure temperature, tell the time, etc. These numbers that are used for counting objects are called 'natural numbers'. For example, while counting objects 5 pencils.

Given data as :

The natural numbers are 97 and 256

To determine the numbers between the following, firstly subtract them and then subtract 2 to it.

97 and 256

⇒ 256 - 97

⇒ 158

Substract 2 from it.

= 158 -2

= 156

Thus, there are 156 natural numbers between 97 and 256.

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From a group of three boys and six girls a boy and a girl will be selected to attend a conference and how many ways can the selection you made

Answers

Answer:

18

Girl  = g

Boy = b

1g 1b  1g 2b  1g 3b

2g 1b  2g 2b  2g 3b

3g 1b  3g 2b  3g 3b

4g 1b   4g 2b  4g 3b

5g 1b   5g 2b  5g 3b

6g 1b   6g 2b  6g 3b

---------------------------------------

Another way you can do this,

6 × 3 = 18

In the end there will be 18 selections.

the correct answer is 18. hope this helps :)

Can someone help me I don't understand

Answers

Answer:

Q'(3,1) R'(2,5) S'(4,3)

Step-by-step explanation:

Q (-4,-4) -4+7= 3 and -4+5=1 so (3,1)

R (-5,0) -5+7=2 and 0+5=5 so (2,5)

S (-3,-2) -3+7=4 and -2+5=3 so (4,3)

The rational number -13/-5 lies to the right of zero on the number true or false​.

Answers

Answer:

true

hope it helps

PLEASE MARK BRAINLIEST

False like my lashes

Ray is making his reward winning lemonade recipe for a party he is comparison shopping for lemons at super pioneer supermarket he can buy 4 lemons for 1.60 ray visits keyfood and found 3 lemons cost 1.80 use the table below to compare the values

Answers

Step-by-step explanation:

Super Pioneer:

If at the Super Pioneer Store he can get 4 lemons for 1.6 dollars, 1 lemon should cost:

4: 1.6

1:. X

4x = 1.6

X = 1.6/4

X = 0.4

1 lemon costs 0.4 dollars

How many lemons could we get from $2.4?

1 : 0.4

X : 2.4

0.4x = 2.4

X = 2.4/0.4

X = 6

2.4 dollars would get you 6 lemons

8 lemons would cost= 8x0.4 = $3.2

Keyfood Supermarket

3 lemons cost 1.8$, so how mucb does 1 lemon cost?

3: 1.8

1 : X

3x = 1.8

X = 1.8/3

X = 0.6

If 1 lemon costs 0.6, how many lemons could you buy from $3?

1: 0.6

X : 3

3 = 0.6x

X = 3/0.6

X = 5

If 1 lemon cost 0.6$, 8 lemons would cost:

8 x 0.6 = $4.8

(I have also edited the answers on the table, but sorry if they seem a bit messy)

Answered by G a u t h m a t h

a man's income is rupees 12000 per month if the.If the rate of income tax ia rs2.50 per rs100,how much tax should he pay?​

Answers

Answer:

don't know

Step-by-step explanation:

What is the value of the expression below when x=3 and y=8?
6x +10y

Answers

Answer:

98

Step-by-step explanation:

The value of the expression below when x=3 and y=8 is 98.

1. Write an expression in simplest form for the area of the figure below:
(answer pls)

Answers

Answer:

(5x+6)(2x+5)-(2x+4)(x+8) simplified is 8x^2+17x-2

Step-by-step explanation:

Answer:

13x²+16x+28

Step-by-step explanation:

S=(5x+6)×(3x+2)=15x²+28x+12

2x+5-x-3=x-2

5x+6-3x+2=2x+8

(x-2)×(2x-8)=2x²-12x+16

15x²+28x+12-2x²-12x+16=13x²+16x+28

I need help ASAP!! Please explain how to solve the question

Answers

Answer:

318

Step-by-step explanation:

Let's divide this shape into 2 triangles & 3 rectangles.

Area of Triangle = 1/2 (bh)

(1/2 (9x6) ) x 2   = 54

Area of Rectangles = (9x11) + (8x11) + (7x11)

= 264

264 + 54 = 318km^2

Answered by g a u t h m a t h

que es la razon de una figura semejante

Answers

Answer:

English for fast response

Calculate using order of operations.
7.8+6.2×(4-1.5)×4​

Answers

Answer:

I believe that the answer is 69.8

The answer is 69.8 I did the math if you can give me brainliest

Plz solve it
Factorize: no w​

Answers

Answer:

here we can go for two solution

_(9)=(2(1-2(2)^(9)))/(1-2(2))


PLEASE HELP ME OUT.

Answers

Answer:

the answer = um ok

Step-by-step explanation:

The Volume of a sphare is 28/3 times the surface area calculate The surface area and the Volume of the sphere, correct to the nearest whole number.​

Answers

Given:

Volume of a sphere is [tex]\dfrac{28}{3}[/tex] times the surface area.

To find:

The surface area and the volume of the sphere.

Solution:

Volume of a sphere:

[tex]V=\dfrac{4}{3}\pi r^3[/tex]              ...(i)

Surface area of a sphere:

[tex]A=4\pi r^2[/tex]                      ...(ii)

Where, r is the radius of the sphere.

Volume of a sphere is [tex]\dfrac{28}{3}[/tex] times the surface area.

[tex]V=\dfrac{28}{3}\times A[/tex]

[tex]\dfrac{4}{3}\pi r^3=\dfrac{28}{3}\times 4\pi r^2[/tex]

Multiply both sides by 3.

[tex]4\pi r^3=112\pi r^2[/tex]

[tex]\dfrac{\pi r^3}{\pi r^2}=\dfrac{112}{4}[/tex]

[tex]r=28[/tex]

Using (i), the volume of the sphere is:

[tex]V=\dfrac{4}{3}\times \dfrac{22}{7}\times (28)^3[/tex]

[tex]V\approx 91989[/tex]

Using (ii), the surface area of the sphere is:

[tex]A=4\times \dfrac{22}{7}\times (28)^2[/tex]

[tex]A=9856[/tex]

Therefore, the surface area of the sphere is 9856 sq. units and the volume of the sphere is 91989 cubic units.

Find the measure of the indicated angle to the nearest degree

Answers

Answer: 39

Explanation:

In this case, we must first find the hypotenuse of this triangle by the Pythagorean Theorem.

sqrt(a^2 + b^2) = c

1) sqrt( 23^2 + 28^2) = c
2) sqrt(529 + 784) = c
3) sqrt(1313) = c
4) c = 36.2353

Now that we have obtained our hypotenuse, we can easily find our missing angle by the sine rule.

sin(Angle)/opposing side = sin(Angle)/opposing side

1) sin90/36.2353 = sinx/23
2) 1/36.2353 = sinx/23
3) 23/36.2353 = sinx
4) x = sin^-1(23/36.2353) (SHIFT + Sin on your calculator to do this)
5) x ≈ 39

Hope this helps, brainliest would be appreciated :)

The battery standby duration (in hours) of a new model of cell phone is known to be normally distributed. Ten pieces of such new model of cell phone supplied from the manufacturer are randomly chosen and the actual standby durations are recorded as below:

48.2 47.8 45.6 47.2 49.3
51.2 44.2 45.4 49.2 43.6

(a) Calculate the unbiased estimates of population mean and standard deviation of battery standby duration (in hours) of the new cell phone.

(b) The manufacturer claimed that this new model of cell phone has the mean battery standby duration of longer than 46.5 hours. Test at 1% significance level if this claim is true.

Answers

x = number of hours

want to find probability (P) x >= 13

x is N(14,1) transform to N(0,1) using z = (x - mean) / standard deviation so can look up probability using standard normal probability table.

P(x >= 13) = P( z > (13 - 14)/1) = P(z > -1) = 1 - P(z < -1) = 1 - 0.1587 = 0.8413

To convert that to percentage, multiply 100, to get 84.13%

What is the sum of the angles 'a' and 'b' from the diagram below.

Answers

Answer:

90+ 135= 225

Step-by-step explanation:

a can be found with formula (n-2)×180/n, where n is number of sides

a= 135

b=90

trigonometric identities

Answers

Answer:

answer B:

[tex]x= \dfrac{\pi}{2}\ or\ \dfrac{\pi}{6}\ or\ x=\dfrac{5\pi}{6}[/tex]

Step-by-step explanation:

[tex]2cos^2 x + 3sin x=3\\\\\Longrightarrow\ 2*(1-sin^2 x)+3sin x -3=0\\\\\Longrightarrow\ 2-2sin^2 x+3 sin x -3=0\\\\\Longrightarrow\ -2sin^2 x+3 sin x -1=0\\\\\Longrightarrow\ 2sin^2 x-3 sin x +1=0\\\\\Delta=3^2-4*2*1=1\\\\sin\ x=\dfrac{3-1}{4} \ or\ sin\ x=\dfrac{3+1}{4}\\\\sin\ x=\dfrac{1}{2} \ or\ sin\ x=1\\\\\Longrightarrow\ x= \dfrac{\pi}{6}\ or\ x= \dfrac{5\pi}{6}\ or\ x=\dfrac{\pi}{2} \\[/tex]

Given m \| nm∥n, find the value of x.

Answers

Answer:

53

Step-by-step explanation:

The value of x in the given figure is 127 degrees.

Given that;

The lines m and n are parallel lines.

Now by definition of vertically opposite angle,

Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines. Vertically opposite angles are equal to each other.

Hence from the figure we get;

Angle x and 127 degrees are vertically opposite angles.

Hence we get;

x = 127°

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7/3 = 7 ÷
7 divided by blank equals 7/3
please help ?

Answers

Answer:

7/3 = 7 ÷  7 ÷ 3/7 (i think)

Step-by-step explanation:

check mathpapa.com

https://www.mathpapa.com/algebra-calculator.html

Can u help solve this

Answers

Answer:

 - 5/3

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( -1 -9)/(4 - -2)

   = (-1-9)/(4+2)

  = -10/6

  - 5/3

Answer:

[tex]slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{ - 1 - 9}{4 - - 2} \\ \frac{ - 10}{6} \\ = - \frac{5}{3} \\ thank \: you[/tex]

누가 좀 도와주세요 help
[tex] \sin(36) - \cos(54) \\ \tan(80) - \cot(10) [/tex]

Answers

Answer:

Step-by-step explanation:

Sin (90 - ∅) = Cos ∅

90 -54 = 36

Sin 36 = Sin (90 - 54)

            = Cos 54      --------->(I)

Now, Sin (36) - Cos (54) = Cos 54 - Cos 54   {From 1}

                                        = 0

2) tan (90-∅) = Cot ∅

Tan 80 = Tan (90 - 10)

            = Cot 10  ----------(II)

Tan 80 - Cot 10 = Cot 10 - cot 10   -----------(from (II)}

                         = 0

Are you korean?

≧∇≦

ฅ'ω'ฅ

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