Given the definitions of f(x)f(x) and g(x)g(x) below, find the value of (f\circ g)(2).(f∘g)(2). f(x)= f(x)= \,\,-5x-11 −5x−11 g(x)= g(x)= \,\,2x^2+2x-5 2x 2 +2x−5

Answer:

I = $1,215

Step-by-step explanation:

Principal (P ) = $3,000

interest rate (R ) = 4.5% or 0.045

time (in years) ( t )= 9

Use the simple interest formula:

I = P × r × t

I = $3,000 × 0.045 × 9

I = $1,215  

Therefore, the simple interest earned on a $3,000 investment after 9 years is $1,215.

Answer:

1. 8.03 x 108 2. 6.8 × 10-9 3. 135,900 4. 2.5x10^-11

Step-by-step explanation:

Step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 803,000,000New Number: 8.03000000Step 2

Now, to find b, count how many places to the right of the decimal.

New Number:8.03000000Decimal Count:12345678

There are 8 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 8.03 (Please notice any zeroes on the end have been removed)

b = 8

Now the whole thing:

8.03 x 108

Step 4

Check your work:

108 = 100,000,000 x 8.03 = 803,000,000

Answer:

[tex]18[/tex]

Step-by-step explanation:

The value of 7 (10 - 2³) + 8 ÷ 2 is 18.

Answer:

-0.002

3x+5=6x-8

Answer:

x=1.4

Step-by-step explanation:

6x-8    -3x+5

+3x   +3x    

So now we have: 9x-8  5 so add 8 on both sides, leaving you with 9x on one and 13 on the other. Now divide 13 by 9, which is 1.4_ so x=1.4

Now do 3 times 1.4 plus 5 and 6 times 1.4 minus 8 and the results you get for each you will need to subtract: (result of 6x-8) - (result of 3x + 5)

GOOD LUCK!!!!!!!!

Answer:

Step-by-step explanation:

Cylinder volume:

Substitute the values of r and h:

________

[tex] \: [/tex]

V = [tex]\pi[/tex] × r² × h

V = [tex]\pi[/tex] × 3² × 8

V = [tex]\pi[/tex] × 9 × 8

V = 72[tex]\pi[/tex]m³✔

Answer:

Step-by-step explanation:

Answer:

82/9

Step-by-step explanation:

Picture below

Based on the data, it can be inferred that Harrisburg, PA is 158 miles from Trento, NJ.

To calculate the distance between Harrisburg and Trento we must carry out the following procedure. First we look at the entire table to see the different distance values between the cities. As we can see, the values for Trento, NJ are not there, so we will have to look elsewhere for additional information.

In this case, we must take as a reference the closest city to Trento that is on the list, this would be Filadeldia. Now, we must find the distance between Philadelphia and Trento and add this value to the distance between Philadelphia and Harrisburg.

According to the above, Philadelphia is 114 miles from Harrisburg and 44 miles from Trneto.

Based on the above, the total distance between Trento and Harrisburg is 158 miles.

Learn more about miles in: https://brainly.com/question/23245414

#SPJ1

Answer:

the angle must be 30 degree. because the value of sin30 is ½ and this means 0.5

Answer: OO! i remember this but i forgot

Step-by-step explanation: ඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞ.

amogusඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞ.ඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞ.ඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞඞ.

Answer: 84km Happy To Help, Brainliest Please

Step-by-step explanation:

Answer:

x = 100/13

Step-by-step explanation:

x 169% = 13

x = 13/169%

x = 13/1.69 = 13/169/100

x = 13 × 100/169

x = 100=13

[tex]\\ \sf\longmapsto 169\%x=13[/tex]

[tex]\\ \sf\longmapsto 1.69x=13[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{13}{1.69}[/tex]

[tex]\\ \sf\longmapsto x=7.69[/tex]

Answer:

32=X becuase you said He subtracted 7 three times or thrice so we multiply that then add 11 because it was our remaining number from subtraction. so 32

Step-by-step explanation:

Answer:

40% is the probability

Step-by-step explanation:

Answer:

I don't know if this will be helpful but here,

Step-by-step explanation:

Answer:

intervals (-3,-1) and (0,+infinity)

Step-by-step explanation:

if f'(x)>0 then f is increasing

Answer:

Question 2: The degree is 3 and the terms are 2, Binomial

Question 3: The degree is 2 and the terms are 3, Polynomial

Step-by-step explanation:

Answer:

i)

Step-by-step explanation:

Tan a = 1

Tan A = tan 45

A = 45.

Now,

Tan b = root 3

Tan b = tan 60.

B = 60.

Now ,

Cos a * cos b - sin A * sin B

= cos 45 * cos 60 - sin 45 * sin 60

= 1/root 2 * 1/2 - 1/root 2 * root 3 /2

= 1 /root 2 ( 1/2 - root 3 /2)

= 1/root 2 * 1 - root 3 /2

= 1 - root 3 / 2 root 2.

Answer:

Step-by-step explanation:

[tex] \frac{1}{5} (4x - 7) + \frac{2}{5} x[/tex]

[tex] = \frac{4}{5} x - \frac{7}{5} + \frac{2}{5} x[/tex]

[tex] = \frac{4}{5} x + \frac{2}{5} x - \frac{7}{5} [/tex]

[tex] = \frac{4 + 2}{5} x - 1 \frac{2}{5} x[/tex]

[tex] = \frac{6}{5} x - 1 \frac{2}{5} [/tex]

[tex] = 1 \frac{1}{5} x - 1 \frac{2}{5} x \: (ans)[/tex]

Answer:

The total surface area is 527.79in²

Step-by-step explanation:

I am REALLY good at area!

Answer:

1/4 slope

Step-by-step explanation:

From (-8,0) to (-7,4) it goes 1 up and 4 to the right

Answer:

21 min longer

Step-by-step explanation:

For Eloise, we need to know how much 1/5 of an hour is in min. So divide 60 by 5 and we get 12min. So 2/5 of an hour is 2x12, giving us 24 min.

For Sahrah, we need to know how much 1/4 of an hour is in min. So divide 60 by 4 and we get 15min. So 3/4 of an hour is 3x15, giving is 45 min.

now that we know how long they practiced, we find the difference by subtracting. 45-24 = 21

Answer:

She is buying 7 bottles and 15 canvases of paint

Step-by-step explanation:

Answer:

7 bottles of paint and 15 canvases

Step-by-step explanation:

I'm letting x stand for the number of bottles of paint and y stand for the number of canvases

1.29x+1.89y=37.38

and y=x+8

Since the y value is isolated I can just substitute the right side of the y= equation into the original like so

1.29x+1.89(x+8)=37.38

I then distributed the 1.89 to each of the terms in the parentheses

1.29x+1.89x+15.12=37.38

I then combined like terms to get

3.18x+15.12=37.38

Then you subtract 15.12 from both sides to get

3.18x=22.26

and last we divide both sides by 3.18 to get

x=7

Now that we have x, we still need to solve for y, so I take the original equation y=x+8 and substitute in the value we solved for x to get

y=7+8

y=15

Don't forget the labels you gave each variable earlier in the problem when answering!

4.06 yard is the the radius of a circle to the nearest hundredth if its circumference is 25.5 yard

Answer:

Step-by-step explanation:

∠1 = ∠2 = 70    {Corresponding angles}

2x +2 y = ∠1

2x + 2y = 70 --------------(I)

2x + y = ∠2

2x +y =  70 --------------(II)

Subtract equation (II) from (I)

(I)    2x + 2y = 70

(II)   2x  + y =  70

     -       -      -     {subtract}

               y  = 0

Plugin y= 0  in equation(I)

2x + 0 = 70

2x = 70

x = 70/2

x = 35

x = 35 ;  y = 0

b is false.

This function is vertically stretched by a factor of 6, not compressed.

Answer:

4, 13, 28, 49

Step-by-step explanation:

1st term = 3 × (1)² + 1 = 4

2nd term = 3 × (2)² + 1 = 13

3rd term = 3 × (3)² + 1 = 28

4th term = 3 × (4)² + 1 = 49

The first for terms of the series can be found by substituting the n for the term it is:

= 3(1)² + 1​ , 3(2)² + 1​ , 3(3)² + 1​ ,3(4)² + 1​

= 4, 13, 28, 49