5. A manufacturing plant stores chemical waste in a temporary holding tank to be disposed of later. They have recently changed their storage procedure. The new procedure increases the amount, in pounds, of a dangerous chemical in the tank at a rate defined by the (12 - t)

function c(t) = e
3, where t is the number of months since the change was

implemented. Simultaneously, the plant also began a new removal procedure, which (t - 16)

removes the chemical from the tank at a rate defined by the function r(t) = e t is the number of months since the removal procedure began.
Part A
4, where

How many months will it take for the rate at which the chemical is added to the tank to be equal to the rate at which the chemical is removed from the tank? Explain how you found your answer.
Respond in the space provided.

Answer:

12.16 u

Step-by-step explanation:

Given :-

And we need to find out the distance between the two points . So , here we can use the distance formula to find out the distance. As,

[tex]:\implies[/tex] D = √{(x2-x1)² + (y2-y1)²}

[tex]:\implies[/tex] D =√[ (4-2)² +(8+4)²]

[tex]:\implies[/tex] D =√[ 2² +12²]

[tex]:\implies[/tex] D =√[ 4 +144]

[tex]:\implies[/tex] D = 12.16

Answer:

Two billion seven hundred and ninety million eighty thousand.

Step-by-step explanation:

There are [tex]9[/tex] digits after [tex]2[/tex] that means the number is said to be a billion.

[tex]795[/tex] comes in the millions place. This means there are [tex]6[/tex] zeros after [tex]795[/tex].

[tex]080[/tex] comes in the thousands place. This means there are [tex]3[/tex] zeros after [tex]80[/tex]

So, the number will be read as Two billion seven hundred and ninety million eighty thousand.

Step-by-step explanation:

to find slant height.

total surface of square base pyramid =a²+2al

hope it helps.

Answer:

$84

Step-by-step explanation:

Given data

Initial deposite= $120

One week later, he withdraws $36

New Balance= 120+(-36)

New Balance=120-36

New Balance=$84

Answer:

im not a 100% sure but i think its the 3rd one

The third table represents the linear function y = -3x + 11 so option (C) is correct.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

As per the given function,

y = -3x + 11

Put x = 0

y = -3 x 0 + 11 = 11

Put x = 1

y = -3(1) + 11 = 8

Put x = 2

y = -3 x 2 + 11 = 5

Since the values in table third are satisfied thus it will be correct.

Hence "The linear equation for the third table is y = -3x + 11.".

For more about the linear function,

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Answer:

Step-by-step explanation:

The third option is correct

Answer: 13.5

Step-by-step explanation:

54/4 = 13.5

13.5 x 4 = 54

Answer:

[tex]5(x + 10)(10x - 3)[/tex]

Step-by-step explanation:

We are factoring

[tex]50x^{2} + 485x - 150[/tex]

So:

((2•5^2x^2) +  485x) -  150

Pull like factors :

50x^2 + 485x - 150  =   5 • (10x^2 + 97x - 30)

Factor

 10x^2 + 97x - 30

Step-1: Multiply the coefficient of the first term by the constant   10 • -30 = -300

Step-2: Find two factors of  -300  whose sum equals the coefficient of the middle term, which is 97.

-300    +    1    =    -299

     -150    +    2    =    -148

     -100    +    3    =    -97

     -75    +    4    =    -71

     -60    +    5    =    -55

     -50    +    6    =    -44

     -30    +    10    =    -20

     -25    +    12    =    -13

     -20    +    15    =    -5

     -15    +    20    =    5

     -12    +    25    =    13

     -10    +    30    =    20

     -6    +    50    =    44

     -5    +    60    =    55

     -4    +    75    =    71

     -3    +    100    =    97

Step-3: Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  100

                    10x^2 - 3x + 100x - 30

Step-4: Add up the first 2 terms, pulling out like factors:

                   x • (10x-3)

             Add up the last 2 terms, pulling out common factors:

                   10 • (10x-3)

Step-5: Add up the four terms of step 4:

                   (x+10)  •  (10x-3)

            Which is the desired factorization

Thus your answer is

[tex]5(x + 10)(10x - 3)[/tex]

Answer:

[tex] \displaystyle \rm 5({x}^{} + 10)( 10x - 3)[/tex]

Step-by-step explanation:

we would like to factor out the following expression:

[tex] \displaystyle {50x}^{2} + 485x - 150[/tex]

notice that, in every term there's a common factor of 5 thus factor it out:

[tex] \displaystyle 5( {10x}^{2} + 97x - 30)[/tex]

now we have to rewrite the middle term as sum or substraction of two different terms in that case 100x-3x can be considered:

[tex] \displaystyle 5( {10x}^{2} + 100 - 3x - 30)[/tex]

factor out 10x:

[tex] \displaystyle 5( 10({x}^{2} + 10)- 3x - 30)[/tex]

factor out -3:

[tex] \displaystyle \rm 5( 10x({x}^{} + 10)- 3(x + 10))[/tex]

group:

[tex] \displaystyle \rm 5({x}^{} + 10)( 10x - 3)[/tex]

and we are done!

hence,

our answer is B)

Answer:

[tex] \tan(60 \degree) = \frac{21}{y} \\ y = \frac{21}{ \tan(60 \degree) } \\ y = 12.124 \\ = 7 \sqrt{3} [/tex]

Answer:

Step-by-step explanation:

Area of a rectangle is given as length times breadth. Mathematically,

A = l * b

If the length is halved and the breadth is constant, then we have

A = l/2 * b

A = lb/2

From the above, the area of a rectangle is lb, while the area of the hypothetical rectangle will be lb/2

This means that, if the length is halved, and the width is constant, then the area of the rectangle reduces by half.

Answer:

the value of x to the nearest tenth is 12 * x

Answer:

25/28

Step-by-step explanation:

28 is the greatest common factor, found by multiplying 7 by 4 (the denominators)

1/7 = 4/28

3/4 = 21/28

21/28 + 4/28 = 25/28

An Brainly Question:

Whats 1/7 + 3/4 ?

Answer:

25/28

Step-by-step explanation:

Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.

So, we multiply 1 by 4, and get 4, then we multiply 7 by 4 and get 28.

Let's add

1

7

+

3

4

Step 1

Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.

So, we multiply 1 by 4, and get 4, then we multiply 7 by 4 and get 28.

1/7 times 4

Now for the second term. You multiply 3 by 7, and get 21, then multiply 7 by 4 and get 28.

3/4 times 7

We now have a new problem, that looks like this:

4

28

+

21

28

Step 2

Since our denominators match, we can add the numerators.

4 + 21 = 25

That gives us the sum, which is

25

28

Step 3

Now, do we need to simplify this fraction?

First, we attempt to divide it by 2...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

Nope! So now we try the next greatest prime number, 13...

Nope! So now we try the next greatest prime number, 17...

Nope! So now we try the next greatest prime number, 19...

Nope! So now we try the next greatest prime number, 23...

Nope! So now we try the next greatest prime number, 29...

No good. 29 is larger than 25. So we're done reducing.

There you have it! Here's the final answer to 1/7 + 3/4

1

7

+

3

4

=

25

28

Answer:

In total I had to pay $ 82.42.

Step-by-step explanation:

Since I and my friends went to dinner and I decided to pay for everyone's meal, and the total bill came to $ 65.00, and I decided to give the waiter a 20% tip before tax and also had to pay 6.8% sales tax, for To determine how much did I have to pay in all, the following calculation should be performed:

65 + (65 x 0.2) + (65 x 0.068) = X

65 + 13 + 4.42 = X

78 + 4.42 = X

82.42 = X

Therefore, in total I had to pay $ 82.42.

Answer:  A≈153.94

A= π r 2  = π 7 2 ≈ 153.93804

Step-by-step explanation:

Answer:

9 + 8 = 17

for instance, look at the numbers below 13, (7 and 4) notice how when you add those together you get the number that is across from it?

(7+4=11)

Answer:

I don't know how to explain but I think it is 17

Step-by-step explanation:

If you can see the opposite side of the number, so lets say 8 on the outer. In the middle is 7 and 9, 7 and 9 makes 16 and if you do the rest of the circle you will get 17.

Hopefully is correct!

Answer:

2x < 5

2x/2 < 5/2

x < 5/2

x  ∈ ( -∞, 5/2 )

Step-by-step explanation:

Answer:

51 miles

Step-by-step explanation:

[tex]3\frac{3}{4}[/tex] x 8 = 30

[tex]5\frac{1}{4}[/tex] x 4 = 21

21 + 30 = 51

The requried distance hiked by Alicia after addition is given as 51 miles.

The addition is mathematical terminology when two one value is increased by another value is called addition, for example, 2 added with 3 gives 5.

here,
Alicia hiked 3 3/4 miles for 8 Saturdays in a row.
Distance hiked = 3 3/4 × 8 = 30 miles

Then she hiked 5 1/4 miles for the next 4 Saturdays.
Distance hiked = 5 1/4 × 4 = 21 miles

Total distance hiked = 51 miles

Thus, the requried distance hiked by Alicia after addition is given as 51 miles.

Learn more about Addition here:
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Answer:

Area of semicircle is

[tex] \frac{1}{2} (\pi \times {r}^{2} )[/tex]

If you are helped with my answer pls tag me brianliest I really want it

THANK YOU......

Answer:

To calculate the area of a semicircle

We are gonna have to use the formula :

[tex]\frac{1}{2}[/tex] π r² [ that is the formula to calculate the area of a semicircle ]

Step-by-step explanation:

If we want to calculate the radius of a semicircle with 4 ft --

we would first write the formula which is "[tex]\frac{1}{2}[/tex] π r²"

Then, you would write: [tex]\frac{1}{2}[/tex] π (4 ft)²

After that, you would write:  [tex]\frac{1}{2}[/tex] (3.14)(16)

Type that into a calculator and you would get 25.12  as your answer

--

Why did we write 3.14 and 16? [ [tex]\frac{1}{2}[/tex] (3.14)(16) ]

Bc, the first digits of pi are 3.14 .

We wrote 16 because 4² = 16 [ 4x4=16 ]

My explanation isn't that good so I would suggest watching the math antics video which is named "Circles, Circumference And Area"

Answer:

pizzeria1

Step-by-step explanation:

Given data

pizzeria1

Diameter=16in

Radius= 16/2= 8in

Area= πr^2

Area= 3.132*8^2

Area= 201.09 in^2

pizzeria2

Diameter=15in

Radius= 15/2= 7.5in

Area= πr^2

Area= 3.132*7.5^2

Area= 176.74n^2

Answer:

Number one is 48 ft and number two is 92 in.

Answer:

100

Step-by-step explanation:

Answer:

4π m

Step-by-step explanation:

Answer:

-4/5

Step-by-step explanation:

Answer:

$600

Step-by-step explanation:

I = prt

I = 10000 x .06

I = 600

Answer:

$600

Step-by-step explanation:

$10,000 x 0.06 = $600

Answer:

30

Step-by-step explanation:

C(n) = 5n, 0 ≤ n ≤10       You would use this formula because 6 is greater than 0 but less than 10.

C(n) = 5n, 0 ≤ n ≤10  ←   You can just ignore the 0≤ n ≤10 part.

C(6) = 5(6)                       Input the value 6 as x.

C(6) = 30

The answer is that 6 shirts costs 30 dollars.

Answer:

Start at origin (0,0)

Move 1/2 units left

Move 1 and 1/2 units down

Place your point

Step-by-step explanation:

Start at the origin (0,0)

Move 1/2 units to the left

Then move 1 1/2 units down, and place your point.

The first coordinate is locating the position horizontally, or on the x axis

The second coordinate is locating the position vertically, or on the y axis.

If there is a negative number on the x coordinate, the first one, you move left.

If positive, you move right.

If there is a negative number on the y coordinate, the second one, you move down.

If positive, you move up.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

move toward left of the horizontal x axis then plot the point in between o and -1.For next point then move down the vertical y axis and plot the point in between -1 and -2 .

Step-by-step explanation:

Hope this helps u!!

Answer:

Answer is 8

Step-by-step explanation:

if you take OP minus the radius(5) you get 8 and the t is in the same place as I do it's 8