What is the equation of this graphed line? Enter your answer in the slope-intercept form in the box.

Step-by-step explanation:

Option 3 must be correct.

Answer:

[tex]1.91\ \text{in}[/tex]

[tex]3.84\ \text{in}[/tex]

Step-by-step explanation:

V = Volume of cylinder = [tex]44\ \text{in}^3[/tex]

h = Height of cylinder

r = Radius of cylinder

Volume of cylinder is given by

[tex]V=\pi r^2h\\\Rightarrow h=\dfrac{V}{\pi r^2}\\\Rightarrow h=\dfrac{44}{\pi r^2}[/tex]

Total surface area of a cylinder is given by

[tex]S=2\pi r^2+2\pi rh\\\Rightarrow S=2\pi r^2+2\pi r\times\dfrac{44}{\pi r^2}\\\Rightarrow S=2\pi r^2+\dfrac{88}{r}[/tex]

Differentiating with respect to radius

[tex]\dfrac{dS}{dr}=4\pi r-\dfrac{88}{r^2}[/tex]

Equating with zero

[tex]4\pi r-\dfrac{88}{r^2}=0\\\Rightarrow 4\pi r=\dfrac{88}{r^2}\\\Rightarrow r^3=\dfrac{88}{4\pi}\\\Rightarrow r=(\dfrac{22}{\pi})^{\dfrac{1}{3}}\\\Rightarrow r=1.91\ \text{in}[/tex]

Double derivative of S

[tex]\dfrac{d^2S}{dr^2}=4\pi+176>0[/tex]

So [tex]r[/tex] is minimum at [tex]\dfrac{dS}{dr}=0[/tex]

[tex]h=\dfrac{44}{\pi r^2}=\dfrac{44}{\pi 1.91^2}\\\Rightarrow h=3.84\ \text{in}[/tex]

So the radius and height of the cylinder is [tex]1.91\ \text{in}[/tex] and [tex]3.84\ \text{in}[/tex] respectively such that the least amount of metal is used.

Answer:

I think the answer is y=2x-2

Hope it is correct! The x is positive because the angle is pointing to the right, and the -2 came from the position of the line.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

The answer is (-2±√10)/3

Step-by-step explanation:

so if it is 3x^2+4x=2 then

set one side to zero

subtract 2 from both sides

3x^2+4x-2=0

this is not factorable by normal means so use quadratic formula which is if you have the equation in ax^2+bx+c=0 form you can solve for x if you put it into this equation quadratic formula  so if you were to input it into this equation you would get

a=3

b=4

c=-2

the solution is: (-2±√10)/3

Answer:

A negative number, a negative integer, a negative multiple of 3, etc.

Step-by-step explanation:

Answer:

integer

???????

Step-by-step explanation:

I'm not sure

Answer:

$1.40

Step-by-step explanation:

I used a unit rate to understand it.

$70/50

70÷ 50= 1.4

50÷50=1

1.4/1 = 1.4 OR $1.40, adding a zero doesn't change it amount, it just places a filler, so the final answer is, one dollar and forty cents.

Answer: a. $128.125

Step-by-step explanation:

The standard error of the mean is given by :

[tex]SE=\dfrac{\sigma}{\sqrt{n}}[/tex] , where [tex]\sigma[/tex] = population standard deviation , n= sample size.

Given: [tex]\sigma=\$2,050[/tex]

n= 256

Then, the standard error of the mean:-

[tex]SE=\dfrac{2050}{\sqrt{256}}\\\\=\dfrac{2050}{16}=\$128.125[/tex]

Hence, option a. is correct.

Answer:

She runs 6 miles in total.

Answer:

The digits in bold are those that were given, and other two we had to fill. The table below contains the answer.

Step-by-step explanation:

We need to complete the table.

Positive Integer: value having + sign

Negative Integer : Value having - sign

The digits in bold are those that were given, and other two we had to fill

Positive Integer       Negative Integer   Value

15                                   -15                         15

101                                 -101                        101

4                                   -4                            4

82                                 -82                         82

1121                              -1121                        1121

33                                 -33                         33

10                                  -10                          10

999                             -999                        999

47                                 -47                           47

1                                    -1                                 1

Answer:

[tex]\{x\ E\ Z\ |\ x > 50\}[/tex] ---- Set Builder

(50, ∞)  ---- Interval Notation

Step-by-step explanation:

Given

x > 50

Required

Write as a

- Set builder

- Interval notation

As Set Builder:

x > 50 means that x is an integer and x is greater than 50.

In set builder notation, integers are represented with z.

So, the above can be represented as:

[tex]\{x\ E\ Z\ |\ x > 50\}[/tex]

This translates to:

x is a member of the set of integers such that x is greater than 50

As Interval Notation:

In interval notation, we make use of brackets to represent the intervals.

In this case > is represented by (a,b)

Where a and b are the intervals of the notation

Since x > 50, then a = 50 and b = ∞ because we only know the starting point and not the end point.

Hence: x > 50 in interval notation is (50, ∞)

Answer:

Question 5 is B

Because after I simplified I got B and its the only one that makes sense.

Answer:

29

Step-by-step explanation:

9+5=14+5=19+5=24+5=29

Answer:

[tex]\huge\boxed{f^{-1}(x)=\dfrac{x+3}{4}=\dfrac{1}{4}x+\dfrac{3}{4}}[/tex]

Step-by-step explanation:

[tex]f(x)=4x-3\to y=4x-3\\\\\text{exchange}\ x\ \text{to}\ y\ \text{and vice versa}\\\\x=4y-3\\\\\text{solve for}\ y\\\\4y-3=x\qquad|\text{add 3 to both sides}\\\\4y-3+3=x+3\\\\4y=x+3\qquad|\text{divide both sides by 4}\\\\\dfrac{4y}{4}=\dfrac{x+3}{4}\\\\y=\dfrac{x+3}{4}\to y=\dfrac{1}{4}x+\dfrac{3}{4}[/tex]

Answer:

x = 14 ; 58° ; 32°

Step-by-step explanation:

What's the actual question??? ... To find "x" or to find the measure of each angle?

(4x + 2)° + (2x + 4)° = 90°

6x + 6 = 90

6x = 84

x = 14

(4(14)+ 2)° = 58°

(2(14) + 4)° = 32°

Answer:

$492.80

Step-by-step explanation:

The discount= 12%*$560/100%

= $67.20

The discounted= Selling price- discount

= $560 - $67.20

= $492.80

Answer:

*20 Songs and 2 Movies

*8 Songs and 6 movies

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Plz mark as brainliest!!!

Answer:

B

Step-by-step explanation:

7+ 8+ 9= 24

24 x 3= 72

Answer:

The three integers whose three times the sum of three consecutive integers is 72 will be: 7, 8, 9

Step-by-step explanation:

Let x, y, and z be the three consecutive integers

The sum of x, y, and z will be: x+y+z

The three times the sum of three consecutive integers is 72.

so the equation becomes:

3(x+y+z)=72

Now, putting x = 7, y=8 and z=9 in the L.H.S equation to check

3(x+y+z)

⇒ 3(7+8+9)

⇒ 3(24)

⇒ 72

Therefore, it is clear that the three integers whose three times the sum of three consecutive integers is 72 will be: 7, 8, 9

Answer:

1. customers

2. all customers

3. 170

4. 30

5. 10

Step-by-step explanation:

edgen 2020 :)

Answer:

just divide the numerator by the denominator

Step-by-step explanation:

an example is ⅔ as a decimal is about .666 or .7

The answer is -7!!!!  can you help me too???? im stuck on one problum!!!

:D

Answer:

1.no answer x

Step-by-step explanation:

2. 216

3. 1000

Answer:

Where is the figure?

Step-by-step explanation:

A ray looks like this though:

Answer:

Distribution, equal groups, skip counting, repeated addition, and array.

Step-by-step explanation:

Answer:

Step-by-step explanation:

A  = 2π +πrl                

A - 2π = πrI                  subtract by 2π

(A- 2π)/(πr) = I               divide by πr to isolate I

Answer:

x=1 4/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given is the exponential function which  is a geometric sequence

It has common ratio of 4

Correct answer option:

Answer:

Step-by-step explanation:

P(x) + Q(x) = 4x^2 + 6x - 9 -7x^2 - 12x +8

x^2 terms: 4x^2 - 7x^2 = - 3x^2

x  terms  : +6x - 12x =      - 6x

linear term: - 9 + 8 = - 1

Answer: -3x^2 - 6x - 1  

Answer:0.916

The decimal multiplier to decrease by 8.4% is 0.916.

Step-by-step explanation: