9,6,3,0,-3,-6 work out the nth term (it decrease by the same amount each time)

Answer:

(2y+3)(y^2+7)

Step-by-step explanation:

2y^3  + 3y^2        + 14y +21

Factory^2 from the first group and    7 from the second group

y^2(2y+3)     + 7(2y+3)

Factor out (2y+3)

(2y+3)(y^2+7)

Answer:269.6 square centimeters

Step-by-step explanation:

Answer:

x > -2

Step-by-step explanation:

3(x + 2) > 0

Expand the brackets.

3x + 6 > 0.

Subtract 6 on both sides of the inequality.

3x + 6 - 6 > 0 - 6

3x > -6

Divide 3 into both sides of the inequality.

3x/3 > -6/3

x > -2

Answer:

p = ±21

Step-by-step explanation:

Given  z1 = p +2i and z2 = 1 – 2i, If |z1/z2| = 13;

|p+2i/1-21| = 13

To get p from the expression above, we need to rationalize the complex function first.

p+2i/1-21 = p+2i/1-2i * 1+2i/1+2i

= p+2pi+2i+4i²/1-4i²

Since i² = -1;

= p+2pi+2i-4/1+4

= p-4+2i(p+1)/5

= p-4/5 + 2(p+1)/5 i

Then we will take the modulus of the resulting expression and equate to the value of 13 to get p

|p+2i/1-21| = √(p-4/5)²+ (2p+2/5)² = 13

(p-4/5)²+ (2p+2/5)² = 13²

(p-4)²+(2p+2)² = 13²*5²

p²-8p+16+4p²+8p+4 = 4225

5p²+20 = 4225

5p² = 4205

p² = 841

p = ±√841

p = ±21

The possible values of p are 21 and -21

Answer:

144 cm²

Step-by-step explanation:

There are five total sides to the triangular prism. The formula for the area of a rectangle is length · width. The formula for the area of a triangle is 1/2 base · height.

10 · 4 = 40

6 · 4 = 24

8 · 4 = 32

1/2(6 · 8) = 48/2 = 24

1/2(6 · 8) = 48/2 = 24

Add the surface area for each side to get the total surface area.

40 + 24 + 32 + 24 + 24 = 144 cm²

Answer:

0.50

Step-by-step explanation:

Simply plug -2 in for x into the equation.

2(2^-2) = 0.50

Answer:

0.50

Step-by-step explanation:

Answer:

36πin

Step-by-step explanation:

Formula for the circumference of a circle=2πr

r=18

2 · 18

=36

36·π

hope this helps

Answer:

  (5, 6)

Step-by-step explanation:

  [tex]x=\sqrt{6}+\sqrt{7}\approx2.45+2.65\approx 5.10\\\\\boxed{5<x<6}[/tex]

I evaluated the expression on my calculator.

__

You can guess that the sum is nearly 2√6.5 = √26. This is between √5² and √6², so the root is likely between 5 and 6.

Answer:

6.59 and 3.41

Step-by-step explanation:

To evaluate, substitute n for each of the given values.

So when n= 3:

0.53n + 5 = 1.59 + 5 = 6.59

And when n = -3

0.53 n + 5 = -1.59+5=3.41

Hope this helps

Hey there!

Answer:

f(3) = -8.

Step-by-step explanation:

Looking at the graph, we can see that when x = 3, y = -8.

Answer:

I think it's more than 2 because some examples are 60,91,29 and 60, 92, 28 and 60, 93, 27.

Answer:

C

Step-by-step explanation:

60+x+y = 180

x > 90

There are more than 2 possiblities

Answer:

x-int: B.

y-int: C.

Step-by-step explanation:

The x-intercepts are when the line crosses at the x-axis when y=0

The y-intercepts are when the line crosses at the y-axis when x=0

Answer:

5 times

Step-by-step explanation:

Given that the probability of a 2 is [tex]\frac{1}{6}[/tex] then number of times a 2 will be rolled is

30 × [tex]\frac{1}{6}[/tex] = 5

Answer: 24 square units

Step-by-step explanation:

The Area of a trapezoid is:

1/2 (a + b) h

Where ;

a = Length of base 1

b = length of base 2

h = height of trapezium

From the diagram attached :

a = Length of BC =(-1 to 3) =4units

b = length of AD =(-3 to 5) = 8 units

h = (-2 to 2) = 4 units

Plugging the values :

Area = 1/2 ((4 + 8)2)

Area = 0.5 × (12) × 4 = 12

Area = 6 × 4 = 24square units

Answer:

6\left(\dfrac{2}{3}+4\dfrac{1}{2}m\right)=6296(

3

2

​

+4

2

1

​

m)=6296, left parenthesis, start fraction, 2, divided by, 3, end fraction, plus, 4, start fraction, 1, divided by, 2, end fraction, m, right parenthesis, equals, 629 t

Step-by-step explanation:

i got this from khan

left parenthesis, start fraction, 2, divided by, 3, end fraction, plus, 4, start fraction, 1, divided by, 2, end fraction, m, right parenthesis, equals, 629 t

We have given that,

A display has 666 packs of marbles with a total mass of 629\,\text{g}629g629, start a text, g, end text. The packaging of each pack has a mass of \dfrac{2}{3}\,\text{g} 3 2 ​ start fraction, 2, divided by, 3, end fraction, start a text, g, end text, and each marble has a mass of 4\dfrac{1}{2}\,\text{g}4 2 1 ​ g4, start fraction, 1, divided by, 2, end fraction, create a text, g, end text.

Total mass means the mass of the shell, its service equipment, and structural equipment, and the heaviest load authorized to be transported.

We have to determine which equation can we use to determine mmm, the number of marbles per pack.

6\left(\dfrac{2}{3}+4\dfrac{1}{2}m\right)=6296(32+421m)=6296,

left parenthesis, start fraction, 2, divided by, 3, end fraction, plus, 4, start fraction, 1, divided by, 2, end fraction, m, right parenthesis, equals, 629 t.

To learn more about the mass visit:

https://brainly.com/question/26150306

#SPJ2

Answer:

[tex]L=(\frac{TG}{2\pi })^2[/tex]

Step-by-step explanation:

[tex]T=2\pi \sqrt{L}/G[/tex]

[tex]TG=2\pi \sqrt{L}[/tex]

[tex]\frac{TG}{2\pi } =\sqrt{L}[/tex]

[tex](\frac{TG}{2\pi })^2 =L[/tex]

Answer:

[tex]l = {( \frac{tg}{2\pi}) }^{2} [/tex]

hope this helps you.

brainliest appreciated

good luck! have a nice day!

Answer : The expression will be

( c - 7 ) / 3

Step-by-step explanation:

Let's say Adam has c pieces of candy

He took ten pieces for himself which means we can write this as c-7

He then divided this amount between his 3 children (c-7)/3

Answer:

27x +6

Step-by-step explanation:

3(7x+2)+6x

Distribute

21x+6 +6x

Combine like terms

27x +6

Answer:

The answer is 21x + 6

Step-by-step explanation:

1.) Multiply 3 to 7x and 2 since these ( ) means times whatever is inside them.

2.) Now you have 21x and 6, add 21x to 6x to equal 27x.

3.) Finally, you have your answer. 27x + 6.

Answer:

D

Step-by-step explanation:

This can be broken up into √3 / √25, since √25 = 5 the final answer is √3/5.

Answer:

D. √3/5

hope it helps!

Step-by-step explanation:

√a/b is always written as √a/√b

So √(3/25)

= √3/√25

(√25 = 5 cuz 5*5=25)

= √3/5

So the answer is D.

Answer:

Option (1).

Step-by-step explanation:

In the figure attached,

Houses of three friends Jo, Boris and Carrie are located at the vertices of a triangle.

They want to meet at a place which equidistant from these vertices.

A point in a triangle which is equidistant from the vertices is its Circumcenter.

A circumcenter of a triangle is a point of intersection of perpendicular bisectors of its sides.

Therefore, the next step to find the meeting place should be,

Option (1). They should find the midpoint of the segments which connect their houses.

Answer:

136°

Step-by-step explanation:

Vertically opposite angles are always equal.

The opposite angle to x is 136°.

Both angles are vertically opposite angles, so they are equal.

Answer:

x = 136 degrees

Step-by-step explanation:

=> x = 136 degrees

Why?

Because x and 136 degrees are vertically opposite angles and vertically opposite angles are congruent.

Answer:

216 cm^2

Step-by-step explanation:

A cube has 6 congruent, square faces.

Each face has side length of 6 cm.

The total surface area is the sum of the surface areas of the 6 faces, but since all faces are congruent, the total surface area is

SA = 6s^2

where s = side length

SA = 6 * (6 cm)^2

SA = 6 * 36 cm^2

SA = 216 cm^2

Answer:

-4w² - 8w

Step-by-step explanation:

All you need to do is distribute -4w. That means to multiply -4w to w and 2 separately. When you multiply -4w to w, you will get -4w² and when you multiply -4w to 2, you will get -8w.

Answer:

300

Step-by-step explanation:

Change the fractions so that they have a common denominator.

2/3 = 4/6

1/2 = 3/6

The difference between 4/6 and 3/6 is 1/6. This is the number of people who left the concert (50) as the fractions changed after they left.

Since 4/6 - 3/6 = 1/6 which also = 50, the total number of seats, 6/6 = 50 × 6 = 300

Answer:

Her final score is 13

Step-by-step explanation:

To find the total score, we would add them all:

=> 30+(-10)+(-12)+(-15)+20

=> 30-10-12-15+20

=> 20-12-15+20

=> 8-15+20

=> -7+20

=> 13

Answer:13

Step-by-step explanation:

Answer:

The middle number would be (14+15)/2 = 14.5

How I found that is I did (14+15)/2.  

pls mark as branliest

Answer:

Yes, it is a quadratic equation.

Step-by-step explanation:

Let's solve it to make it a quadratic equation:

=> [tex]\frac{x^2+1}{x^2} =5[/tex]

=> x²+1 = 5x²

=> 5x²-x²-1 = 0

=> 4x²-1 = 0

Comparing it with the standard form of quadratic equation i.e.

[tex]ax^2+bx+c = 0[/tex]

So, we get

a = 4 , b = 0 and c = -1

So, yes. It is a quadratic equation and it is a pure quadratic equation since b is equal to 0.

Answer:

A: -8-4

Step-by-step explanation:

Answer:

I think it is (-8,-4).

Step-by-step explanation:

I hope this helps.