Solve the following inequality 5x+12+3x<36

Answer:

7/2

Step-by-step explanation:

The reciprocal is basically just flipping the fraction upside down. Reciprocal is also called inverse.

Answer:

n ≈ 8.54

Step-by-step explanation:

Reference angle = 30°

Opposite side = n

Adjacent side = 14.8

Apply TOA, which is:

Tan 30 = opp/adj

Tan 30 = n/14.8

Multiply both sides by 14.8

14.8×tan 30 = n

8.54478398 = n

n ≈ 8.54 units (to 2 dp)

Answer:

a) 513775.5 m^3  ≈ 51.38 * 10^4 m^3

b)  256887.75 m^3 ≈ 25.69 * 10^4 m^3

Step-by-step explanation:

Given data :

Depth of pond = 2m

flow in the stream = 20 cfs = 4.8931 * 10^4 m^3/day

settling rate = 0.2 m/day

rate constant ( k )= 0.2 / 2 = 0.1 / day

steady-state removal of the solids required = 65%

A) determine size of a single CSTR to achieve 65%

First determine the time required to achieve this using the relation below

C = [tex]c_{o} e^{-kt}[/tex]

∴ t = [tex]\frac{-1}{k}* ln( 1 - 0.65 )[/tex]

     = ( -1 / 0.1 ) * (- 1.05 ) = 10.5 day

The size of a single CSTR required = ( 4.8931*10^4 ) * (10.5 ) = 513775.5 m^3

B) determine the sizes of a pair of identical CSTRs in series needed to achieve the desired removal

sizes of a pair = 513775.5 / 2 = 256887.75 m^3

Answer:

a8 12 16 b.5 65  3

Step-by-step explanation:

ere

Answer:

Its Pi (3rd option)

Step-by-step explanation:

Or known as: π

Answer:

thats incorrect, the correct answer i believe is the pi symbol (the third option)

Step-by-step explanation:

Most numbers used in everyday life can be categorized as rational numbers, which means they can be written as a simple fraction or decimal. Pi is an irrational number, a number that is non-repeating and non-terminating. ... In fact, its been proven that between every two rational numbers is an irrational one.

I hope this helps!

Answer: [tex]\dfrac{11}{36}[/tex]

Step-by-step explanation:

Total outcomes for rolling a pair of six-sided dice n(S)= 6 x 6 =36

Let A be the event that the first die is one and B be the event that the sum of the dice is eight.

A = {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)}

P(A)= [tex]=\dfrac{n(A)}{n(S)}=\dfrac{6}{36}[/tex]

B= {(2,6), (6,2), (3,5), (5, 3), (4,4)}

P(B)= [tex]=\dfrac{n(B)}{n(S)}=\dfrac{5}{36}[/tex]

A ∩ B = Ф

P(A ∩ B)=0

P(A or B)= P(A)+P(B)+P(A∩ B)

[tex]=\dfrac{6}{36}+\dfrac{5}{36}+0\\=\dfrac{11}{36}[/tex]

Hence, P(A or B) = [tex]\dfrac{11}{36}[/tex]

Answer:

[tex](a)\ m+ 2.1 > n + 2.1[/tex]

[tex](b).\ m - (-4) > n - (-4)[/tex]

[tex](c)\ 9 +m> 6 + n[/tex]

Step-by-step explanation:

Given

[tex]m > n[/tex]

Required

Select true inequalities

[tex](a)\ m+ 2.1 > n + 2.1[/tex]

Subtract 2.1 from both sides

[tex]m > n[/tex]

This is true

[tex](b).\ m - (-4) > n - (-4)[/tex]

Open brackets

[tex]m + 4 > n + 4[/tex]

Subtract 4 from both sides

[tex]m > n[/tex]

[tex](c)\ 9 +m> 6 + n[/tex]

[tex]m> -9+6 + n[/tex]

[tex]m> n-3[/tex]

This is also true

Answer:

A,B,D

Step-by-step explanation:

Answer:

x = 28

Step-by-step explanation:

(x + 18)° + (5x - 6)° = 180° (supplementary angles)

Solve for x

x + 18 + 5x - 6 = 180

Add like terms

6x + 12 = 180

6x = 180 - 12 (subtraction property of equality)

6x = 168

x = 168/6 (division property of equality)

x = 28

Answer:

The trapezoid is D

Step-by-step explanation:

I learned this in 3rd grade

Step-by-step explanation:

its -3x-6+(-1)? if yes please let me know. thanks

Answer:

x = -10

Step-by-step explanation:

First combine like terms; -6 + -1 = -7, since + a negative is just minus.  

(So -6 - 1.)  Rewrite the equation as -3x - 7.  Divide x from both sides, so

-3 - 7 = x.  Simplify into x = -10.  

I'm so sorry if I'm wrong, I hope this helps though!  

Answer:

33

Step-by-step explanation:

Answer:

It should be 37

Step-by-step explanation:

sorry if its wrong

Answer:

F

Step-by-step explanation:

Answer:

I believe the answer is f.

Answer: Probably $4,050

Step-by-step explanation:

The way you worded this is weird but I’m assuming you meant 10% off. Find 10% of 4500 (which is 450) and subtract that from the total, giving you 4050.

1) No, I have not been in a situation thankfully. But if I was in that situation, where someone was texting while driving, what I would do is turn the person’s phone to silent so that the person won’t get distracted. In addition, I would grab the person’s phone and keep it with me so that the phone is out of reach from the person driving and so that they won’t get distracted or curious and what notifications the are getting.

2) Spending time reading the received or to send a text just for 5 seconds, can increase your chance of crashing. It might seem that’s it not possible to crash just for looking on your phone for only 5 seconds, but it can happen.

3) I personally do think that it’s worth monetary and punitive price if you are caught texting and driving because you are risking the chance of not only getting yourself in danger, but everyone and everything around you. Paying the price will be a helpful reminder to not text and drive at the same time because it will teach you that there are consequences from texting and driving. In addition, if you did hit someone or something, that can not be undone and will effect you and other people. Paying a price can be done but potentially killing something or someone can not be done.

4) A few things that can help you not drive and text at the same time is the following:

- Simply just put your phone in silent. This will help the noises and vibrations from your phone notifications be silent and will help you not be distracted. This is a definitely number 1 rule to keep your eyes on the road instead of your phone.

- If you are with someone else, let the other person text for you so that you don’t have to look and take your hands off the wheel. Simply just say what you want to text to the other person so that they do your job for you.

- Put your phone somewhere you can’t reach it. For example, put it in the backseat so it’s not easy for you to reach it. This will help you not get tempted to grab your phone.

5) To a teenager, the advice I would give is the same things I put for question 3. I think that these steps applies not just for teenagers but for everyone who can drive, no matter the age. Now, to the individuals who think that it’s necessary to drive and text at the same time, what I would say to them is “threaten them” not in a bad way, but what I would say is “There has been a lot of cops around here, you should put your phone away or else you can get a ticket”. It will scare them because who wants to pay a ticket? No one right? If the person is stubborn because sometimes people think they are right and refuse to be in the wrong, just don’t ride with them. Why put yourself at risk? If they get hurt or get something hurt, it’s their fault. Just remember to never go on your phone while driving. Not only are you putting yourself at risk being hurt or even killed but putting everyone and everything else at risk by getting hurt or killed.

I hope this helped! :D

Answer:

= 1 8 hope this helps!!! :)

Step-by-step explanation:

1 2 ⋅ −7 = 1 3 ( − 1 2 )

1 2 − 7 = 1 3 −1 2 )

1 2 − 7 = 1 3 − 1 2 )

Multiply by 1  

Combine multiplied terms into a single fraction  

Multiply by 1  

Add to both sides of the equation

Answer:

x = 3/2 = 1 1/2 = 1.5

Step-by-step explanation:

1/2 x -7=1/3(x-12)

Multiply 1/2 and -7 to get -7/2

-7/2 = 1/3(x-12)

Fraction -7/2 can be rewritten as -7/2 by extracting the negative sign.

- 7/2 = 1/3(x-12)

Use the distributive property to multiply 1/3 by x−12.

-7/2 = 1/3x + 1/3(-12)

Multiply 1/3 and −12 to get -12/3

-7/2 = 1/3x + -12/3

Divide −12 by 3 to get −4.

-7/2 = 1/3x + 4

Swap sides so that all variable terms are on the left hand side.

1/3x -4 = -7/2

Add 4 to both sides.

1/3x = -7/2 + 4

Convert 4 to fraction 8/2

1/3x = -7/2+8/2

Since -7/2 and 8/2 have the same denominator, add them by adding their numerators.

1/3x = -7+8/2

Add −7 and 8 to get 1.

1/3x = 1/2

Multiply both sides by 3, the reciprocal of 1/3

x = 1/2 x 3

Multiply 1/2 and 3 to get 3/2

x = 3/2

Answer:

2.5

Step-by-step explanation

2 divided by five is 2.5

Answer:

There are 448 freshmen

Step-by-step explanation:

Answer:

C. OBTUSE

Step-by-step explanation:

2. Paris was the son of the king and queen of Troy. When he was born, his mother dreamed that she was giving birth to a flaming torch. Fearful that this was a bad omen, King Priam ordered that the child be left on a hillside to die.

the answer is a. There is 1 as a right angle.

Answer:

18000000

Step-by-step explanation:

2000 x 9000 = 18000000

9 x 2 = 18

there are 3 0's on the 2 and 3 0's on the 9 so we are going to add them together.

000 + 000 = 000000

put the two answer together and they equal...

18000000

Step-by-step explanation:

2000x9000=18000000is. your answer

Answer:

16 i think

Step-by-step explanation:

The diagram is missing, so i have attached it.

Answer:

h = 7.7 cm

Step-by-step explanation:

From the attached image, we can see that the hypotenuse is 15 cm with the opposite side being h cm.

The angle is 31°

Thus, using trigonometric ratio, we have;

h/15 = sin 31

h = 15 sin 31

h = 15 × 0.5150

h = 7.725

Approximating to 1 decimal place gives;

h = 7.7 cm

Answer:

The amount is not showing

Step-by-step explanation:

what are the options please ?