Find f(2) if f(x) = (x + 1)2

Answer:

[tex]n = - \frac{21}{12} [/tex]

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Answer:

-4/7

Step-by-step explanation:

2/3(1+n)= -1/2n    ======= × 6 both sides

4(1+n)= -3n

4+4n= -3n

-7n=4

n= -4/7

Answer:

[tex] \boxed{\angle b = 12 \degree} [/tex]

Given:

[tex]\angle a \: and \: \angle b \: are \: complementary \: angles\\ \\ \angle a = 78 \degree [/tex]

Step-by-step explanation:

Two Angles are Complementary when they add up to 90° (a Right Angle).

[tex] = > \angle a + \angle b = 90 \degree \\ \\ = > 78 \degree + \angle b = 90\degree \\ \\ = > \angle b = 90 \degree - 78 \degree \\ \\ = > \angle b = 12 \degree[/tex]

Answer:

[tex]15\:cm[/tex]

Step-by-step explanation:

Use the formula for the volume of a cuboid.

[tex]V=lwh[/tex]

[tex]80\:mm=8\:cm[/tex]

[tex]360=3 \times 8 \times h[/tex]

[tex]360=24 \times h[/tex]

[tex]360 \div 24 = h[/tex]

[tex]15=h[/tex]

The height of the cuboid 15 cm.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

Here, we have,

The volume of a cuboid is 360cm3.

The length is 3cm and the width is 80mm.

now,

80mm=8cm

volume= l*w* h

i.e. 360 = 3* 8*h

so, h= 15

Hence, The height of the cuboid 15 cm.

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Answer:

2 people can have 18 cupcakes each

3 people can have 12 cupcakes each

4 people can have 9 cupcakes each

9 people can have 4 cupcakes each

Step-by-step explanation:

Answer: 1,2,3,4,6,9,12,18,36

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

Just use Pythagoras theorem

Answer:

X =30/7

Step-by-step explanation:

The first way would be something like:

-7x + 10 = -20. The first thing we would do is to subtract 10 from both sides.

Therefore,

-7x+10-10=-20-10

Simplified, we get

-7x=-30

Remove the negative symbols

7x =30

x=30/7

Second example:

10=7x - 20

Add 20 to both sides.

10+20=7x-20+20

Simplified,

30=7x

x = 30/7

Answer:

What is the solution?

✔ x = 30/7

Step-by-step explanation:

You can take this equation into two approaches.

#1 subtracting 4x from both sides:

-3x+10=4x-20 (subtract 4x from each side)

-7x+10=-20 (then subtract 10 from each side)

-7x=-30 (then divide by -7 to get x by itself)

x=30/7

#2 Add 3x to both sides:

-3x+10=4x-20 (Add 3x to both sides)

10=7x-20 (then add 20 to each side)

30=7x (divide both sides by 7)

30/7=x

Either way you do it you will get x=30/7 as your answer.

Answer:

[tex]x=12[/tex]

Step-by-step explanation:

[tex]\frac{\sqrt{3x} }{\sqrt{x-8} } =3[/tex]

[tex]\sqrt{3x}=3\sqrt{x-8}[/tex]

[tex]\left(\sqrt{3x}\right)^2=\left(3\sqrt{x-8}\right)^2[/tex]

[tex]3x=9x-72[/tex]

[tex]3x-9x=-72[/tex]

[tex]-6x=-72[/tex]

[tex]x=12[/tex]

Answer:

[tex] \frac{ \sqrt{3x} }{ \sqrt{x - 8} } = 3[/tex]

[tex] \sqrt{3x} = 3 \sqrt{x - 8} [/tex]

[tex]3x = (3 \sqrt{x - 8} )^{2} [/tex]

[tex]3x = 9(x - 8)[/tex]

[tex]3x = 9x - 72[/tex]

3x - 9x = -72

-6x = -72

x = 12

Answer:

-1

Step-by-step explanation:

write it in the following manner:

-3x + 7  - 5x = 15

-8x + 7 = 15

-8x = 8

x = -1

Thus, the number has to be smaller than -1.

The smallest integer that makes the given inequality true is 0.

Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.

Given inequality,

-3x + 7 - 5x < 15

We have to find the value of x.

(-3x - 5x) + 7 < 15

-8x < 8

Dividing whole sides by -1, the inequality sign changes.

x > -1

Smallest possible value is 0.

Hence the smallest posible value is 0.

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Answer:

1350 cm³

Step-by-step explanation:

Given 2 similar solids with sides in the ratio a : b , then

ratio of volumes = a³ : b³

Here the ratio of heights of A : B = 10 : 15 = 2 : 3 , thus

ratio of volumes A : B = 2³ : 3³ = 8 : 27

let x represent the volume of B then using proportion

[tex]\frac{8}{400}[/tex] = [tex]\frac{27}{x}[/tex] ( cross- multiply )

8x = 10800 ( divide both sides by 8 )

x = 1350

The volume of solid  B = 1350 cm³

Answer:

24

Step-by-step explanation:

8x3

6x4

Answer:

24

Step-by-step explanation:

LCM is the Lowest Common Multiple

To find the LCM of 2 numbers, first list a few of the first multiples of each number:

8 = 8,16,24,32,40

6 = 6,12,18,24,30

Here, we notice that 24 is the first multiple that is common in both times tables. Thus, 24 is the LCM

hope this helps

Answer:

0.5

Step-by-step explanation:

If one part = 1/17

Then, 8 parts = 1/16 x 8 = 1/2

1/2/as a decimal is 0.5

Hope this helps

Answer:

It is called a zero angle.

A 180 degree angle is called a straight angle.

A ninety degree angle is called a right angle.

Answer:

5 x 2.5 = 12.5

8 x 2.5 = 20

answer: 28

Answer:5 x 2.5 = 12.5

8 x 2.5 = 20

Step-by-step explanation:mark me as brainest plsssssssssssssssssss

Step-by-step explanation:

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Answer:

C

Step-by-step explanation:

Equation:

[tex]\frac{x}{-2}+\frac{y}{10}=1\\\\\frac{x*5}{-2*5}+\frac{y}{10}=1\\\\\frac{-5x}{10}+\frac{y}{10}=1\\\\-5x+y=10\\\\y=5x+10[/tex]

If it gets stuck in my head, then i listened to the song.

Answer:

31.6227766

Step-by-step explanation:

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Answer:

First of all since they are dividing subtract the powers of the base from each other .

Make sure the bases are the same.

((6^7-6)(3^3-4))³

((6)(3^-1))³

(6³)(3^-3)

216 × 1/27

= 8

That's option d.

Hope this helps.

Answer:

The number sentence is false.

Step-by-step explanation:

The inequality given is

20 > 86 − ℎ

We are to substitute the value of h as 46 to see if the inequality is true or false.

20 > 86 - 46

20 > 40

Since 20 is not greater than 40, the number sentence is false.

Answer:

Row related frequencies

                 twins in family history        Twins not in           Total

                                                             family history

 Twins born   8 / 34  = 0.2353                26 / 34= 0.7647     1                                                          

single child born :125 / 966 = 0.1294    841 / 966 = 0.8706   1                  

Step-by-step explanation:

Given table         twins in                  twins not in

                           family history             family history      total

Twins born                      8                          26                    34

single child born            125                       841                    966

 Total                              133                      867                   1000

Row related frequencies

Given table       twins in family history     Twins not in     Total      

                                                                        family history  

Twins born     8 / 34  = 0.2353      26 / 34= 0.7647                  1                                              

single child born 125 / 966 = 0.1294    841 / 966 = 0.8706      1                

Total                            0.3647                                1.6353                  

Answer:

Step-by-step explanation:

There are infinitely many rational numbers between any two rational numbers.

Answer:

skewed left

Step-by-step explanation:

this is because most of the data set is on the right side

Answer:

C

Step-by-step explanation:

The bars are definitely not equal (so a isn't the answer), neither is it symmetrical (so d isn't the answer). Most of the data is on the right, so it's skewed left

[tex]the \: right \: options \: are \\ option \: b \\ option \: c \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]

Answer:

see explanation

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the initial value and d the common difference

Given

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 10 + (n - 1)3 ]

Then by comparison

2a₁ = 10 ( divide both sides by 2 )

a₁ = 4 ← initial value

and d = 3 ← common difference

Thus

[tex]S_{8}[/tex] = [tex]\frac{8}{2}[/tex] [ 10 + (7 × 3) ]

   = 4(10 + 21)

   = 4 × 31

   = 124

Answer:

125

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the height of the ball modelled by the equation h(t)=16t²+84 after t secs. At the maximum height, the velocity of the ball is zero.

Velocity V is the change of rate of displacement.

V = dh/dt = 32t

0 = 32t

t = 0secs

at t = 0;

h(0) = 16(0)²+84

h(0) = 84feet

This shows that the maximum height of the ball is 84feet

Answer:

Simplified Expression a ) 2n^2 + 7n - 5,

Simplified Expression b ) 8n^2 - 11n - 10,

When n = 3 part a ) 34,

When n = 2 part a ) 17,

When n = 3 part b ) 29,

When n = 2 part a ) 0

Step-by-step explanation:

Consider the " simplification " process at hand;

[tex]a ) (5n^2 + 3n -4) + (-3n^2 + 4n -1),\\5n^2+3n-4-3n^2+4n-1,\\5n^2-3n^2+3n+4n-4-1,\\\\Simplified Expression = 2n^2+7n-5[/tex]

[tex]b ) (7n^2 - 5n - 2) - (-n^2 + 6n + 8),\\7n^2-5n-2+n^2-6n-8,\\\\Simplified Expression = 8n^2-11n-10[/tex]

For each part ( a and b ) I removed the ( ) and grouped like elements to receive the simplified expression;

Value of each polonomial;

[tex]a ) 2n^2 + 7n - 5,\\2 * ( 3 )^2 + 7 * ( 3 ) - 5,\\34\\\\2 * ( 2 )^2 + 7 * ( 2 ) - 5\\17[/tex]

[tex]b ) 8n^2 - 11n - 10,\\8 * ( 3 )^2 - 11 * ( 3 ) - 10,\\29\\\\8 * ( 2 )^2 - 11 * ( 2 ) - 10,\\0[/tex]

Each expression was solved through substitution and algebra.

" Simplified " Solution - See in answer above

* I hope the answer wasn't too confusing, for further information look through my response thoroughly

Answer:

Step-by-step explanation:

power i guess

Answer:

Exponent, Power or Indices

Step-by-step explanation:

The number is called Exponent, Power or Indices

The answer is 0.

please see the attached picture for full solution

hope it helps...

Good luck on your assignment

Answer:

d. (3, 8)

Step-by-step explanation:

the coordinates of point W " on the final image is (3 8) Solution-means first the point is translated left by 4 units and translated up by 2 units then it is reflected across y axis. (the rules follow right to left approach) The co-ordinate of point W is ( 1 6 ). After 4 units translation to left and 2 units translation to up the co-ordinates

Answer:

The coefficient is 12

Step-by-step explanation:

The coefficient is the number next to the variable in the term

12p

The coefficient is 12 and the variable is p