0.1m + 8 - 12n when 30 and n = 1/4

Answer:

f(g(x)) = 2x - 5

Step-by-step explanation:

If f(x) = 2x + 1 and g(x) = x - 3

Then to find the value of f(g(x)) we write x - 3 instead of x in the function f(x)

f(g(x)) = 2 (x-3) + 1 ➡ f(g(x)) = 2x -5

Answer:

[tex]\huge \boxed{f(g(x))=2x+-5}[/tex]

Step-by-step explanation:

The functions are given,

[tex]f(x)=2x+1[/tex]

[tex]g(x)=x-3[/tex]

To find [tex]f(g(x))[/tex], the input for the function f of x will be g of x.

[tex]f(g(x))=2(x-3)+1[/tex]

Expand brackets.

[tex]f(g(x))=2x-6+1[/tex]

Combine like terms.

[tex]f(g(x))=2x-5[/tex]

Answer:

x + 2y = 20

Step-by-step explanation:

We require the slope and the midpoint of AB

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = A(2, 4) and (x₂, y₂ ) = B(6, 12)

m = [tex]\frac{12-4}{6-2}[/tex] = [tex]\frac{8}{4}[/tex] = 2

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{2}[/tex]

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

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] ]

Thus midpoint of AB = ( [tex]\frac{2+6}{2}[/tex], [tex]\frac{4+12}{2}[/tex] ) = (4, 8 )

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

y = - [tex]\frac{1}{2}[/tex] x + c ← partial equation of perpendicular bisector

To find c substitute (4, 8) into the partial equation

8 = - 2 + c ⇒ c = 8 + 2 = 10

y = - [tex]\frac{1}{2}[/tex] x + 10 ← in slope- intercept form

Multiply through by 2

2y = - x + 20 ( add x to both sides )

x + 2y = 20 ← in the form ax + by = c

Answer:

41

Step-by-step explanation:

5 + (-6)^2

=> 5 + 36

=> 41

Subtract original amount from new amount:

84 - 39 = 45

He bought 45 books.

Answer:

No

Step-by-step explanation:

Because of the y^2, each value of x will be represented twice on the y-axis. Henceforth, the vertical line will pass through this line twice. THIS IS NOT A FUNCTION. ... It passes the vertical test for function.

Answer:X∧N and Y ∧N share a variable

Step-by-step explanation: X∧N

                                             Y∧N

they have the last same variable

Answer:

3/8

Step-by-step explanation:

There are 8 boxes and 3 shaded columns

[tex]\frac{3}{4}\times \frac{1}{2} \\\\=\frac{3\times \:1}{4\times \:2}\\\\=\frac{3}{4\times \:2}\\\\=\frac{3}{8}[/tex]

Answer:

Hey there!

The correct answer is 1/2(3/4)=3/8

Hope this helps :)

Answer:

See explanation below

Step-by-step explanation:

(a) The spread of the data is represented by their range,

Adam's Range : 106 - 91 = 15

Miguel's Range : 105 - 86 = 19

As Miguel's Range is greater, his data has the greater spread

(b) The middle 50 percent of both data sets would be the following,

Adam | 103 | 105 | 104 | 106 | 100

Miguel | 88 | 86 | 89 | 93 | 105

And their 50% range would be ...

Adam's 50% Range : 106 - 100 = 6,

Miguel's 50% Range : 105 - 86 = 19

Adam still has the least spread, even in the middle 50%

(c) This proves that their is a small variance in Adam's training times, but a large variance in Miguel's training times (Miguel's data is more likely skewed).

Answer:

New radius(r) = 3.65 (Approx)

Step-by-step explanation:

Given:

Radius of sphere(R) = 8

Find:

New radius(r)

Computation:

Volume of sphere = (4/3)πR³

Volume of sphere = (4/3)π(6)³

Volume of sphere = 288π

Volume of ring = (4/3)π(R²-r²)³/²

Half volume of sphere = Volume of ring

288π / 2 = (4/3)π(R²-r²)³/²

144 = (4/3)(6²-r²)³/²

108 = (6²-r²)³/²

New radius(r) = 3.65 (Approx)

Answer:

See explanation

Step-by-step explanation:

The number that would not belong is [tex]\sqrt{48}[/tex] since it is irrational

Answer:

[tex]\sqrt{48}[/tex]

Step-by-step explanation:

Looking at the numbers, we can see that the first number, third, and fourth number are all rational numbers since they either repeat or terminate.

On the other hand, let's try and simplify the square root of 48:

[tex]\sqrt{48}=\sqrt{16\cdot3}=\sqrt{16}\cdot\sqrt3=4\sqrt3[/tex]

The square root of 3 is irrational. Therefore, 4 times the square root of 3 is also irrational. All of the given numbers are rational instead of the second one. So, the second number does not belong .

Answer:

he is talented

Step-by-step explanation:

Hello There!!~

The units of per hours is = 4.5

Explanation:

Unit rate in miles per hour is the ratio of total distance covered in miles to total time taken in hour to cover that distance.

L = 3/4

Time taken to cover the loop on monday:-

T = 1/6 hours.

Unit rate in miles per hour :-

V = L/T

=> 3/4 ,1/6 =18/4

18/4 = 4 5

Hope This Helps!! :)

By °~Itsbrazts°~

Answer:

512.4274 miles

Step-by-step explanation:

500m + 20k = distance

1 kilometer = 0.621371 miles

20k = 12.4274

500 + 12.4274 = 512.4274 miles

Answer:

Patricia's account balance after thirteen years is $867.15.

Step-by-step explanation:

It is given that,

Principal on deposited amount is $612.40

Rate is 3.2%

We need to find Patricia's account balance after thirteen years, t = 13 years

This problem is based on the concept of simple interest. Interest is given by :

[tex]I=PRt\\\\I=612.4\times \dfrac{3.2}{100}\times 13\\\\I=\$254.75[/tex]

Net amount = $612.40 + $254.75=$867.15

Answer:

Diagram 5: Not adjacent angles

Diagram 6: Not adjacent angles

Diagram 7: Are adjacent angles

Diagram 8: Are adjacent angles

Step-by-step explanation:

In order for angles to be adjacent, they need to have all of three things:

1. Have a common vertex

2. Have a common side

3. Must not overlap

Diagram 5 does not have a common side between angles 1 and 2, so it is not adjacent.

Diagram 6 does not even have angles 1 and 2 connected in any way so it is not adjacent.

Diagrams 7 and 8 have all three conditions, so those diagrams are adjacent.

Answer:

Rs. 112000

Step-by-step explanation:

Hari is due to pay after 3 years:

He pays Rs. 70700, remaining money is cleared by giving buffalo.

Cost of buffalo:

Answer is: Rs. 112000

Answer:

Solution,

principal(P)= Rs. 126000

Rate(R)=15%

Time(T)=3 years

Money paid=Rs.70700

Cost of buffalo=?

We know that,

                          Interest=P*T*R

                                           100

                                       = Rs. 126000*3*15

                                                         100

                                       = Rs. 56700

Now,

         Amount(A)=P+I

                           =Rs. ( 56700+126000)

                           = Rs.182700

Again,

          by the question,

                                    Cost of buffalo= Amount- Money paid

                                                             = Rs.(182700- 70700)

                                                              = Rs. 112000

Therefore, the cost of buffalo is Rs. 112000.

Answer:

Option (C) : 3

Step-by-step explanation:

Circumference of front tire = Circumference of back tire

[tex]3(2\pi\: r) = 2\pi \R[/tex]

[tex] \R = 3r[/tex]

Answer:

C) -6-(-3)=3

Step-by-step explanation:

-6-(-3)=

-6+3=

-3 (Not positive 3)

So the third one is incorrect

Answer:

D

Step-by-step explanation:

We would like to solve:

(3/4h + 4) - (1/2h + 1)

This is equivalent to:

3/4h + 4 - 1/2h - 1

First, combine like terms; that is, combine the terms with h in them and combine the terms without h in them:

3/4h - 1/2h + 4 - 1

The common denominator for 3/4 and 1/2 is 4, so:

3/4h - 1/2h = 3/4h - 2/4h = 1/4h

Put this back in:

1/4h + 4 - 1

1/4h + 3

The answer is thus D.

~ an aesthetics love

Answer:

First we need to find the value of 1.11 * 10^12.

We need to solve the exponent first.

10^12 = 1000000000000

Next, we will multiply this by 1.11.

1,000,000,000,000 * 1.11 = 1,110,000,000,000

The value of 1.11*10^12 is equal to 1,110,000,000,000.

We can immediately rule out a), 90,000,000,000 as an answer. We can easily tell that out solution is greater than this answer.

Now we will find the value of option b).

5.66 * 10^11.

We need to solve the exponent first.

10^11 = 100000000000

Next, we will multiply this by 5.66.

100,000,000,000 * 5.66 = 566,000,000,000

This number is not greater than our solution to 1.11 * 10^12. Therefore, option b) is not your answer.

Now we will find the value of option c).

1.01 * 10^13.

We need to solve the exponent first.

10^13 = 10,000,000,000,000

Next, we will multiply this by 1.01.

10,000,000,000,000 * 1.01 = 10,100,000,000,000

This number is greater than our solution to 1.11 * 10^12. Therefore, option c) is your answer.

Hope this helps!

Step-by-step explanation:

Option C.  1.01×10¹³ which is 1010×10¹⁰ is larger than 111×10¹⁰.

Write all the given numbers in same powers of 10 and then compare the base.larger base is the larger number.

According to the given question we have to choose the correct option for a numbers which is larger than 1.11×10¹².

We know 10¹² has 12 zeroes after 1.

In option a 90,000,000,000 it has 10 zeroes so it can be written as 9×10¹⁰

and 1.11×10¹² can be written as 111×10¹⁰ so option A is smaller.

looking at option B. which is 5.66×10¹¹ this can also be written as 56.6×10¹⁰.

Which is gain smaller than 111×10¹⁰.

Option C. which is 1.01×10¹³ which can be written as 1010×10¹⁰ which is larger than 111×10¹⁰.

learn more about scientific form here :

https://brainly.com/question/142095

#SPJ2

Answer:

Hey there!

1 gallon of gas is equal to 18 miles of road.

15 gallons of gas is equal to 18(15) miles, or 270 miles of road.

Let me know if this helps :)

Answer:

D) because if you take 18 times 15 you would get 270

Step-by-step explanation:

Stay safe, positive, and healthy C:

Have a wonderful morning c:

Answer:

[tex]14y^{2} -64y[/tex]

Step-by-step explanation:

Hello!

4y(5y - 11)

Distribute the 4y

4y * 5y = 20y^2

4y * -11 = -44y

Put it together

20y^2 - 44y

2y(3y + 10)

Distribute the -2y

-2y * 3y = -6y^2

-2y * 10 = -20y

Put it gether

-6y^2 - 20y

Put it all together

20y^2 - 44y - 6y^2 - 20y

Combine like terms

14y^2 - 64y

The answer is [tex]14y^{2} -64y[/tex]

Hope this helps!

Answer:

Total lost yards = 10 yards  

Step-by-step explanation:

Given:

First match = lost 3 yards

Second match = lost 5 yards

Third match = lost 2 yards

Find:

Total lost yards

Computation:

Total lost yards = First match + Second match + Third match

Total lost yards = 3 yards + 5 yards + 2 yards

Total lost yards = 10 yards  

Using inspiration from the hexagon example, we can cut out a side of the parallelogram and move that portion to the opposite side. The cut can be a curve of any kind or it could be a jagged edge like I have done below. The figure tessellates the plane as shown in the last section of the diagram. We can place the figures side by side to fill up a 2D space. Think of it like putting a jigsaw puzzle together in a way.

Answer:

Read Exp:

Step-by-step explanation:

9.) (-6)^2

10.) 10^3

11.) (2/3)^6

Answer:

see below

Step-by-step explanation:

( -6) * (-6)

The base is -6.  It is multiplied 2 times so the exponent is 2

(-6)^2

10*10*10

The base is 10 It is multiplied 3 times so the exponent is 3

10 ^3

2/3 * 2/3 * 2/3 * 2/3 *2/3 *2/3

The base is 2/3.  It is multiplied 6 times so the exponent is 6

(2/3) ^6

Answer:

i. Term = [tex]\frac{b_{1}h }{2}[/tex] + [tex]\frac{b_{2}h }{2}[/tex]

ii. Coefficient = [tex]\frac{1}{2}[/tex]

iii. Constant = [tex]\frac{1}{2}[/tex]

iv. Factor = [tex]\frac{h}{2}[/tex]

Step-by-step explanation:

A trapezoid is a quadrilateral which has its base parallel to the opposite side. It's area can be determined by;

Area of trapezium = [tex]\frac{1}{2}[/tex] ([tex]b_{1}[/tex] + [tex]b_{2}[/tex])h

Where [tex]b_{1}[/tex] is the measure of length of its fist base,  [tex]b_{2}[/tex] is the measure of its second base and h is its height.

Considering the given question,

Term = [tex]\frac{b_{1}h }{2}[/tex] + [tex]\frac{b_{2}h }{2}[/tex]

Coefficient = [tex]\frac{1}{2}[/tex]

Constant = [tex]\frac{1}{2}[/tex]

Factor = [tex]\frac{h}{2}[/tex]

Answer:

A-B= (a,b,c,d)-(p,q,r,s)

=( )

B-A =(p,q,r,s)-(a,b,c,d)

( )

Answer:

Step-by-step explanation:

Given,

A = { a , b , c , d }

B = { p , q , r , s }

Let's find the difference of two set A and B :

A - B = { a , b , c , d } - { p , q , r , s }

The difference of two sets A and B is denoted by A - B and defined as the set of all the elements of A only which are not in B.

⇒A - B = { a , b , c , d }

Now, let's find the difference of two sets B and A

B - A = { p , q , r , s } - { a , b , c , d }

Similarly, The difference of two sets B and A is denoted by B - A and defined as the set of the all elements of set B only which are not in A.

⇒ B - A = { p , q , r , s }

Hope I helped!

Best regards!!

Answer:

You will only be able to buy two at the original price the following day.

Step-by-step explanation:

You spend $30.40 on 4 CDs. Each CD costs the same amount and is on sale for 80% of the original price.

If x = original cost of one CD

80% of one CD = 0.8x

0.8x = the price you pay for one discounted CD

You buy 4 of the discounted CDs for $30.40

4(0.8x) = 30.40

solve for x, the original cost of one CD

3.2x = 30.40

x = 9.50

The next day, the CDs are no longer one sale. You have $25. Will you be able to buy 3 more CDs?

25$ / $9.50 = 2.63 CDs

Answer:2/3 or 66.666%(don't quote me if I'm wrong about this)