If f(x) = x + 1 and g(x) = x^3, the function (fοg)(x) is:

Answer:

x - 10 = -6

Step-by-step explanation:

9x + 12 = 48

Subtract 12 from both sides. 

9x + 12 = 48

      - 12  - 12

+ 12 and - 12 cancel out. 48 - 12 is 36. 

9x = 36

Divide 9 from both sides.

9x = 36

÷ 9  ÷ 9

9 ÷ 9 cancels out. x is left. 36 ÷ 9 is 4.

x = 4

Knowing x = 4, solve the equation.

x - 10 = ?

Plug in 4.

4 - 10 = -6

4 - 10 equals -6. This is your answer.

Hope this helped!

Answer:

i)

9x + 12 = 48

or,9x=48-12

or,9x=36

or,x=36/9

or,x=4

Thus,the value of x is 4.

ii)

x-10

=4-10(Putting x as 4)

=-6

Answer:

5 and 5 1/2 appear the most option. None of Ani's friends have 6 1/2 shoes.

Step-by-step explanation:

5 and 5 1/2 have the most dots, which means the most friends have those shoes. There are no dots above 6 1/2, meaning no friends have that shoe size.

The solution is, 5 and 5 1/2 appear the most option. None of Ani's friends have 6 1/2 shoes.

Data is a collection of discrete values that convey information, describing quantity, quality, fact, statistics, other basic units of meaning, or simply sequences of symbols that may be further interpreted. A datum is an individual value in a collection of data .

here, we have,

from the given data, we get,

the given information, gives,

5 and 5 1/2 have the most dots, which means the most friends have those shoes.

There are no dots above 6 1/2, meaning no friends have that shoe size.

Hence,  5 and 5 1/2 appear the most option. None of Ani's friends have 6 1/2 shoes.

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Answer:

False

Step-by-step explanation:

By the Central Limit Theorem, as the sample size [tex]n[/tex] gets larger, the smaller the standard deviation [tex]\sigma[/tex] of the sampling distribution gets.

Answer:

A number added by 25

In a problem it is: Ben has m dollars, his Mom gave him 25 dollars how much does Ben have now?

Hope this helps!

Answer:

y = 4x-7

Step-by-step explanation:

slope = difference of y-values / difference of x-values

= (9-5) / (4-3)

= 4/1

select a point to use in the slope-intercept form of a line:  y = mx + b where 'm' is the slope and 'b' is the y-intercept

(3,5)

5 = 4(3) + b

5 = 12 + b

-7 = b

slope is 4 and y-intercept is -7

y = 4x-7

Answer:

4.17% (nearest hundredth)

Step-by-step explanation:

percent change = [ (difference between initial value and final value) ÷ initial value] x 100

⇒ percent change = [ (50 - 48) ÷ 48 ] x 100 = 4.17% (nearest hundredth)

Answer:

Step-by-step explanation:

Let p and w represent the speeds of the plane and the wind. The relation between time, speed, and distance is ...

  speed = distance/time

  p +w = (2565 mi)/(4.5 h) = 570 mi/h

  p -w = (2205 mi)/(4.5 h) = 490 mi/h

Adding these speeds, we get ...

  (p +w) +(p -w) = (570) +(490) mi/h

  2p = 1060 mi/h

  p = 530 mi/h

Then the speed of the wind is ...

  w = 570 mi/h -p = (570 -530) mi/h = 40 mi/h

The plane's speed is 530 mi/h; the wind speed is 40 mi/h.

Answer:

3.75

Step-by-step explanation:

5 × 3/4

= 15/4

= 3.75

Hope it helps ⚜

Answer:

3x - 10 = 2

3x = 2 + 10

3x = 12

÷3 = ÷3

x = 4

Answer:

The answer is 4

Step-by-step explanation:

3*4=12

12-10=2

Answer:

it's a hard one

Step-by-step explanation:

I don't know either

The the product of the initial amplitude and the exponential decay rate

of raised to the power of the time taken give the amplitude of 0.1 mm.

Correct option:

The given parameters are;

The initial amplitude = 0.75 mm

The decay rate, i = 25%

Required:

The time it takes the guitar to decay to 0.1 mm.

Solution:

The series of the sizes of the amplitude that has constant decay uses an

exponential decay formula.

When the amplitude is 0.1 mm, we have;

y = a·rⁿ

Where;

r = 1 - i

a = 0.75

n = The time taken

Which gives;

r = 1 - 0.25 = 0.75

y = 0.1 = 0.75 × 0.75ⁿ

[tex]\dfrac{0.1}{0.75} = \mathbf{0.75^{n}}[/tex]

n = 7.0

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Answer:

Personality impacts how we prefer to communicate with people, as well as how we ourselves respond to information. The more we understand our own communication styles and those of the people we work with, the more effective we can be as leaders, teams, and colleagues

Step-by-step explanation:

Answer:

x < 21

Step-by-step explanation:

Let x = the number of grapes James has left

x + 4 < 25

x < 21

Answer:

1) Combine like terms

2) [tex]\sqrt[3]{x} =3[/tex]

3) cube both sides of the equation

4) [tex]4\sqrt[3]{27} +8\sqrt[3]{27}=36[/tex]

5) 4(3) + 8(3) = 36

Step-by-step explanation:

1) Combine like terms

2) [tex]\sqrt[3]{x} =3[/tex]

3) cube both sides of the equation

4) [tex]4\sqrt[3]{27} +8\sqrt[3]{27}=36[/tex]

5) 4(3) + 8(3) = 36

Answer:

[tex]\frac{11}{24}[/tex]

Step-by-step explanation:

To change into fraction divide it by 100

[tex]\frac{275}{6}/100[/tex]

[tex]\frac{275}{6}*\frac{1}{100}[/tex]

[tex]\frac{275}{600}[/tex]

[tex]\frac{275/25}{600/25}[/tex]

[tex]\frac{11}{24}[/tex]

[tex]45 \frac{5}{6}[/tex] ÷ [tex]100[/tex] [tex]=[/tex] [tex]\frac{11}{24}[/tex]

Hence, Answer = 11/24

[RevyBreeze]

Answer:

Step-by-step explanation:

First, you should turn this into an improper fraction. Forget the fact that it is a percent for the time being.

275 / 6

Now put this over 100 to get the fractional part

275 / 6 // 100/1

Invert and multiply the denominator

275 / 6 * 1 / 100 = 275 / 600  You need to reduce this. Start by dividing numerator and denominator by 25

275 / 25 // 600 / 25

11 /  24

Answer:

Combine like terms

x^2 + 2x + 3 + 3x^2 + x + 1

4x^2 + 3x + 4

Answer:

it is 200

Step-by-step explanation:

2 take 2 add 20 add a sec 0

Answer:

  200

Step-by-step explanation:

If 'a' is the total attendance, the given relation is ...

  70 = 0.35a . . . . . . 70 is 35% of attendance

Dividing by the coefficient of 'a', we find the attendance was ...

  70/0.35 = a = 200

200 people were at the concert.

Answer:

20

Step-by-step explanation:

the area of a triangle is 1/2 base times hight (a=1/2bh)

Answer:

20 cm squared

Step-by-step explanation:

The formula is Area equals (base times height) divided by 2, so (5*8)/2=20

Answer:

72

Step-by-step explanation:

156 ÷ 13 × 6 = 72

Hope this helps!

Good luck!

Answer:

156÷13=12(the number of 13s'in 156)

there are 12

12*6=72

seventy two students live on campus

Answer:

the slope = -2/7

the y-intercept = 8/7

Step-by-step explanation:

Rewrite the equation to a slope-intercept form:

7y = 8 - 2x

7y = -2x + 8

[tex]y=-\frac{2}{7}x+\frac{8}{7}[/tex]

so the slope = -2/7

the y-intercept = 8/7

Answer:

false

Step-by-step explanation:

Answer:

False is the one you would choose.

Step-by-step explanation:

Step-by-step explanation:

4. 0.9

5. 0.4

6. 0.21

hope this helps you.

Step-by-step explanation:

This is the way to do this I hope it will help you!!

Answer:

[tex]y=(750)1.05^t[/tex], where [tex]t[/tex] is the time (in years) from investment

Or  [tex]y=(750)1.05^{t-5}[/tex], where [tex]t[/tex] is the age of James

Step-by-step explanation:

exponential model:  [tex]y=ab^t[/tex],  where [tex]t[/tex] is the time (in years) from investment

when t = 0, y = 750

[tex]\implies 750=ab^0[/tex]

As [tex]b^0=1[/tex]

[tex]\implies 750=a[/tex]

Therefore, [tex]y=750b^t[/tex]

If the savings increase by 5% each year, then b = 105%.

105% = 105/100 = 1.05

Therefore, b = 1.05

So final model: [tex]y=(750)1.05^t[/tex], where [tex]t[/tex] is the time (in years) from investment

Or, we can write this as [tex]y=(750)1.05^{t-5}[/tex], where [tex]t[/tex] is the age of James

Answer:

b = (A - 3C)/2

Step-by-step explanation:

2b = A - 3C

b = (A - 3C)/2

Answer:

3/8  less than 1/2 is correct

Step-by-step explanation: