Help, I have a time limit for this

Answer:

4th degree polynomial with 4 terms

Step-by-step explanation:

Given:

3n²(n²+ 4n - 5) - (2n² - n⁴ + 3)

Open parenthesis

= 3n⁴ + 12n³ - 15n² - 2n² + n⁴ - 3

Collect like terms

= 3n⁴ + n⁴ + 12n³ - 15n² - 2n² - 3

= 4n⁴ + 12n³ - 17n² - 3

Number 1 term is 4n²

Number 2 term is 12n³

Number 3 term is -17n³

Number 4 term is -3

The highest degree of the polynomial is 4th degree

Therefore,

The difference in 3n²(n²+ 4n - 5) - (2n² - n⁴ + 3) is

4th degree polynomial with 4 terms

Answer:

4th degree polynomial with 4 terms

Step-by-step explanation:

Answer:

Since both terms are perfect squares, factor using the difference of squares formula,  

a ^2 − b ^2 = ( a + b ) ( a − b )

where  

a = y

and  

b = 6  

( y + 6 ) ( y − 6 )

Answer:

P = 157.5 units

Step-by-step explanation:

[tex]{\color{red}{\huge{\underbrace{\overbrace{\mathfrak{\:\:\:\:\:\:\:꧁"Answer"꧂\:\:\: }}}}}}[/tex]

Because ∆XZW and WYZ is the same height and

Because ∆XZW and WYZ is the same height and the are of ∆WXZ to the the WYZ

[tex]so \:( \frac{1}{2}xw \times h)( \frac{1}{2} w)=7:2[/tex]

Because xy=21

[tex]so \: WY=2 \frac{1}{2}(7 + 2x2) \\ = 21 \frac{1}{2}p \times 2 \\ =\small\color{blue}{{{\boxed{\tt\red{} \:\:\:\:\:\:\:\:\:\: WY=\frac{14}{3}\:\:\:\: }}}}[/tex]

The length of the line segment WY is [tex]\frac{14}{3}[/tex] unit.

The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle.

Area of triangle = (1/2)base × height

According to the given question.

The ratio of the area of triangle WXZ to the area of triangle WYZ is 7:2.

Since, the height WZ for both the triangles WXZ and WYZ is same.

Let, WZ = h

Therefore, the ratio of the area of the triangles is given by  

 [tex]\frac{\frac{1}{2}WX(h) }{\frac{1}{2}(WY)(h) } =\frac{7}{2}[/tex]

⇒ [tex]\frac{WX}{WY} =\frac{7}{2}[/tex]

⇒ [tex]WX = \frac{7}{2} WY..(i)[/tex]

Since, in the given figure

[tex]XY = WY + WX[/tex]

⇒ [tex]21 = WY + \frac{7}{2} WY[/tex]   (from i)

⇒ [tex]21 = \frac{9}{2}WY[/tex]

⇒ [tex]WY = \frac{14}{3}[/tex]

Hence, the length of the line segment WY is [tex]\frac{14}{3}[/tex] unit.

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Answer:

4393 is divisible by 1 ,23 and 191

Answer:

the answer is 23

Step-by-step explanation:

Answer:

y = 245/2

Step-by-step explanation:

y = k x^2

Where k is the constant of variation

Let y= 40 and x=4

40 = k *(4)^2

40 = k*16

40/16 = k

5/2 = k

y =5/2 x^2

Let x=7

y = 5/2 (7)^2

y = 5/2(49)

y = 245/2

Answer:

Tan A = [tex]\frac{21}{35}[/tex] = [tex]\frac{3}{5}[/tex] = .6

Step-by-step explanation:

SOH CAH TOA

Sin Ф = [tex]\frac{O}{H}[/tex]

Cos Ф = [tex]\frac{A}{H}[/tex]

Tan Ф = [tex]\frac{O}{A}[/tex]

Answer:

-25.2

Step-by-step explanation:

by replacing -6 on the place of x we get4.2(-6)=-25.2

Answer:

1506meters

Step-by-step explanation:

1hour-60minutes

which means half an hour is 30minutes,so it's more like they are asking you to find how far the swimmer can swim in 30minutes

50.2-1min

x -30min

x=50.2×30

x=1506meters

Answer:

4w-8

Step-by-step explanation:

4(w-2)

(4*w)-(4*2)

4w-8

Answer:

4w-8

Step-by-step explanation:

4(w - 2)

Distribute

4*w - 4*2

4w-8

The question is incomplete. The complete question is :

Cylinders A and B are similar. The length of the cylinder A is 4 mm and the length of cylinder B is 6 mm. The volume of cylinder A is 20mm3. Calculate the volume of cylinder B.

Answer:

67.5 [tex]mm^3[/tex]

Step-by-step explanation:

Given that :

Cylinder A and cylinder B are similar.

Let volume of cylinder A = 20 [tex]mm^3[/tex]

We know the volume of a cylinder is given by V = [tex]$\pi r^2 h$[/tex]

where, r is the radius of the cylinder

            h is the height of the cylinder

We have to find the scale factor.

The length scale factor is = [tex]$\frac{6}{4}$[/tex]

                                          [tex]$=\frac{3}{2}$[/tex]

Area scale factor [tex]$=\left(\frac{3}{2}\right)^2$[/tex]

                           [tex]$=\frac{9}{4}$[/tex]

∴ Volume scale factor [tex]$=\left(\frac{3}{2}\right)^3$[/tex]

                                     [tex]$=\frac{27}{8}$[/tex]

Therefore, the volume of cylinder B is [tex]$=20 \times \frac{27}{8}$[/tex]

                                                               = 67.5 [tex]mm^3[/tex]

Answer:

See Explanation

Step-by-step explanation:

Given

The attached graph

Required

Point on the line

The options are not given. So, I will provide general answers.

To do this, we simply write out the coordinates that lie on the line.

Some of them are:

[tex](0.5,3)[/tex]

[tex](1.25,8)[/tex]

[tex](1.5,10)[/tex]

average =65%

average = (60+70)/(100+100)*100

= 130/200*100

= 65%

1cm = 2m

=> 1cm = 200cm

2.5cm = 2.5 × 200cm = 500 cm = 5m

So, the length of window is 500cm or 5m.

Answer:

it will be

=> 4854

Step-by-step explanation:

hope it's helpful for you xd

Answer:

Step-by-step explanation:

Hello there

I'm also a student so I'm not 100% sure on this one, but I think I know.

Usually when you have functions you just replace the letters for their value:

f = 11x

g = x² - 6x + 3

h = -x + 4

Th exercise is asking for (g * h) (x)

Since there are parenthesis, here's what we have:

[(x² - 6x + 3)(-x + 4)](x)

Use the left side of the equation:

[(x² - 6x + 3)(-x + 4)](x)

And solve it:

-x³ + 6x² -3x + 4x² - 24x + 12

That's equal to

-x³ + 10x² -27x + 12

Multiply all that by that x on the left:

-x^4 + 10x³ -27x² + 12x

No idea if that's right so please tell me

Answer:

There are 4 terms

Step-by-step explanation:

A term is a single mathematical expression. Terms can be identified with a plus or minus sign in front of them. Terms can also be multiplied and divided.

So, in this case, the terms are:

-7

12x^4

-5y^8

x

Answer:

,29.25m

Step-by-step explanation:

maybe answer is correct

Answer: B. 29.25 cm

Step-by-step explanation:

Given

The prefix nona- came from Latin meaning "nineth"

Thus, nonagon has 9 sides

Solve

1 side = 3.25 cm

9 sides = 3.25 × 9 = 29.25 cm

Hope this helps!! :)

Please let me know if you have any question

Answer:

∠ ADC = 145°

Step-by-step explanation:

The central angle is equal to the measure of the arc that subtends it, then

∠ ADE = 70°

∠ EDC = 75°

∠ ADC = ∠ ADE + ∠ EDC = 70° + 75° = 145°

Answer:

Step-by-step explanation:

The period of a trig function tells you how much space is taken up by one "up-down-up" of the graph, which is a revolution. Because half of this graph takes place in a span of 2π, then the whole graph will span 4π.

Based on the graph, the following statements are true:

A. The domain is the set of all real numbers.

D. The range is the set of all real numbers greater than or equal to zero.

The graph demonstrates that the function will always produce a real number larger than or equal to zero regardless of the real number used as an input. The set of all real numbers constitutes the domain, whereas the set of all real numbers larger than or equal to zero constitutes the range. The other two claims are false. The range is neither the set of all real numbers, nor is the domain restricted to real numbers larger than or equal to zero.

As a result, the right responses are A and D.

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Answer:

using Pythagoras' theorem c²=a²+b²

the diagonal is the hypotenuse of one of the triangles formed

let x represent one side of the square

√48²=x²+x²

√48²=2x²

48=2x²

48/2=2x²/2

24=x²

√24=√x²

4.8989794855663561=x

~4.90

Area of the square=side x side

4.90x4.90

24.01units²

Answer of this question

9514 1404 393

Answer:

  a) 230

  b) 300

  c) 2×10^-2

  d) 1.1×10^-6

Step-by-step explanation:

a) 0.26 × 890 ≈ 1/4 × 900 ≈ 225 ≈ 230

b) 1.95/(.67×10^-2) ≈ 2/(2/3)×10^2 ≈ 300

c) 2010×10^-5 ≈ 2×10^3×10^-5 = 2×10^-2

d) 9.98×10^-4/(9×10^2) = 9.98/9×10^(-4-2) ≈ 1.1×10^-6

__

YMMV depending on how you do the rounding and approximate multiplication and division.

The first one can be done multiple ways. For most accurate results, increasing one number while decreasing the other is recommended. (You don't want to compute 0.3×900, for example.)

Answer: The ratio that represents the cosine of ∠T is [tex]\frac{56}{65}[/tex]

Step-by-step explanation:

We are given:

UV = 56 units

VT = 33 units

UT = 65 units

∠V = 90°

Cosine of an angle is equal to the ratio of base and the hypotenuse of the triangle. ΔTUV is drawn in the image below.

[tex]\cos \theta=\frac{\text{base}}{\text{hypotenuse}}[/tex]

Base of the triangle is UV and the hypotenuse of the triangle is TU

Putting values in above equation, we get:

[tex]\cos \theta=\frac{UV}{TU}=\frac{56}{65}[/tex]

Hence, the ratio that represents the cosine of ∠T is [tex]\frac{56}{65}[/tex]

Answer:

For perimeter you add up the side lengths to get the perimeter but for area you multiply the length times width (L x W )to get area.

Step-by-step explanation:

Answer:

ANSWER :

it's x + 3 + x

Step-by-step explanation:

Answer:

The answer is C.) m∠RCD = m∠ACD ÷ 2

RCD = ACD divided by two.

RCD = 90 degrees

ACD ÷2 = 180÷2 = 90 degrees.

So, your answer is C.

Hope this helped. Have a grey day!

Answer:

C. m∠RCD = m∠ACD ÷ 2

Hope this helps!

Step-by-step explanation:

I got it right.

Answer:

p = T - a - b

Step-by-step explanation:

T = a + p + b

p = T - a - b