A substance with a half life is decaying exponentially. If there are initially 12 grams of the substance and after 2 hours there are 7 grams, how many grams will remain after 3 hours? Round your answer to the nearest hundredth, and do not include units.

Answer:

y = -4x + 28

Step-by-step explanation:

yeah-ya........ right?

Step-by-step explanation:

what is the standard form for your teacher ?

because that is absolutely not agreed on worldwide (and even between teacher and teacher in the same region).

there are 2 main forms :

the general slope intercept form is

y = ax + b

a is the slope. and is here -4.

b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).

we get b by using the point coordinates in the half finished equation :

4 = -4×6 + b = -24 + b

28 = b

so, the equation is

y = -4x + 28

the general slope point form is

y - y1 = a(x - x1)

where a (often called m) is again the slope, and x1, y1 are the coordinates of a given point.

so, we have

y - 4 = -4(x - 6)

Answer:

D) The number that is 5 to the right of -6 on the number line

Hope this helps :)

hope this helps

<3

srry if this is wrong

9514 1404 393

Answer:

  $708.87

Step-by-step explanation:

The price with tax included is ...

  660.95 + 0.0725×660.95 = 660.95(1 +0.0725) = 708.87

The total cost of the bicycle with tax is $708.87.

Answer:

$ 708.87

Step-by-step explanation:

Think that, a bicycle has listed price of $ 100,

Listed price              Tax rate            Total cost of the bicycle with sales tax

$ 100                           7.25                       107.25

$ 660.95                                                     x

Let the Total price of the bicycle be x

Now you can create a equation like this,

[tex]\frac{100}{660.95}=\frac{107.25}{x}[/tex]

Use cross multiplication, and find out the total cost of the bicycle with sales tax.

[tex]100x=660.95*107.25[/tex]

[tex]100x=70886.8875[/tex]

[tex]\frac{100x}{100} =\frac{70886.8875}{100} \\[/tex]

[tex]x=708.8688[/tex]

Therefore, the total cost of the bicycle with sales tax is,

≈ $ 708.87

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

X = - 31

Step-by-step explanation:

The < always faces the largest number so do. -10-20= - 30 so any number bellow that e.g.-31, -45 will be correct I think

Answer:

449/100

Step-by-step explanation:

1.67 + 2.82 = 4.49

4.49 = 4(0.01) + 49(0.01) = 449(0.01)

Multiplying 449 by 0.01 is the same as dividing 449 by 100

4.49 as fraction = 449/100

-Chetan

Answer:

11

Step-by-step explanation:

    f(12) means that we plug 12 into our x value since the function is f(x) which will be solved as the following:

2/3x + 3

2/3(12) + 3

8 + 3

11

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Newton's first law of motion states that; An object continues to be in its state of rest or uniform motion unless acted upon by an external force in which case, it acts otherwise.

An example of this law is an orange placed on a table.

In essence, the orange continues in its state of rest unless acted upon by a force of push or otherwise by an individual or perhaps wind as the case may be.

Read. more;

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Answer:

x=4

or

x=-6

Step-by-step explanation:

did you know u can solve that equation on your calculator without much struggle?

Answer:

Step-by-step explanation:

= > x^2 + 2x - 24

= > x^2 + 6x - 4x - 24

= > x(x + 6) - 4(x + 6)

= > (x - 4) (x + 6)...ans

x = -6 , 4

Answer:

-1, -24

Step-by-step explanation:

-9-(-8)

double negative = positive

-9+8=-1

21-45=-24

Answer:there is no graphs

Step-by-step explanation:

poop

Answer:

60 boxes

Step-by-step explanation:

1. First find 20% of 60 (multiply 60 by .2) to get 12.

2. So 12 teachers will donate 5 boxes each (12 x 5=60)

Answer: The answer would be 60 boxes.

Step-by-step explanation: If there are 60 teachers and only 20% of the teachers donate, then you could say that there is only 0.2 of the teachers who donated boxes. This gives you 0.2 times 60 which equals 12. If each teacher donates 5 boxes each and there are 12 teachers who donated, then there would be a total of 60 boxes donated.

Hope this helps.

Answer:6.3 i believe

Step-by-step explanation:

Answer:

6.3

Step-by-step explanation:

circumference = 2πr

arc length  = (included angle/360) * circumference

as an equation

s = (θ/360) * 2πr

s = (θ/180)πr

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

θ = 45

r = 8

s = (45/180) * 3.14 * 8

s = 6.28

rounded

s = 6.3

Balance the reaction:

a FeS₂ + b O₂   =>   c Fe₂O₃ + d SO₂

Matching up the atoms on either side gives the system of equations

• Fe: a = 2c

• S: 2a = d

• O: 2b = 3c + 2d

We have 3 equations with 4 unknowns. Suppose we fix one of the variables, say a = 2. Then

2 = 2c   ===>   c = 1

2•2 = d   ===>   d = 4

2b = 3•1 + 2•4   ===>   b = 11/2

and so the balanced reaction is

2 FeS₂ + 11/2 O₂   =>   Fe₂O₃ + 4 SO₂

or

4 FeS₂ + 11 O₂   =>   2 Fe₂O₃ + 8 SO₂

Look up the molar masses of each component element:

• Fe: 55.845 g/mol

• S: 32.06 g/mol

• O: 15.999 g/mol

Then the molar masses of the reactants are

• FeS₂: 119.965 g/mol

• O₂: 31.998 g/mol

Convert the given masses to moles:

• (882 g FeS₂) (1/119.965 mol/g) ≈ 7.35 mol FeS₂

• (528 g O₂) (1/31.998 mol/g) ≈ 16.5 mol O₂

In the balanced reaction, 4 moles of FeS₂ combine with 11 moles of O₂, or equivalently 1 mol FeS₂ is needed for every 11/4 = 2.75 mol O₂. Now,

(16.5 mol O₂) / (2.75 mol O₂) = 6

while

(7.35 mol FeS₂) / (1 mol FeS₂) = 7.35

which means the reaction consumes all of the available O₂ and we're left with 7.35 - 6 = 1.35 mol FeS₂.

For every 11 mol O₂ among the reactants, 2 mol Fe₂O₃ are produced. Then 16.5 mol O₂ makes for

(11 mol O₂) / (2 mol Fe₂O₃) = (16.5 mol O₂) / x

===>   x = 3.00 mol Fe₂O₃

which has a mass of

(3.00 mol Fe₂O₃) (160. g/mol) ≈ 479 g Fe₂O₃

To find the mass of Fe2O3 produced, we convert the given masses of FeS2 and O2 into moles and use the molar ratio in the balanced chemical equation. The mass of Fe2O3 produced is 1170.68 grams.

To solve this problem, we need to convert the given masses of FeS2 and O2 into moles. From the balanced chemical equation, we can see that the molar ratio between FeS2 and Fe2O3 is 1:1.

This means that the number of moles of Fe2O3 produced will be equal to the number of moles of FeS2. We can use the molar mass of Fe2O3 to convert moles to grams.

First, we calculate the number of moles of FeS2 and O2:

Moles of FeS2 = 882 g / 120.17 g/mol = 7.34 mol

Moles of O2 = 528 g / 32 g/mol = 16.5 mol

Since the molar ratio between FeS2 and Fe2O3 is 1:1, we know that 7.34 moles of FeS2 will produce 7.34 moles of Fe2O3.

Now, we can calculate the mass of Fe2O3:

Mass of Fe2O3 = Moles of Fe2O3 x Molar mass of Fe2O3

Mass of Fe2O3 = 7.34 mol x 159.69 g/mol = 1170.68 g

Therefore, 1170.68 grams of Fe2O3 are produced.

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Answer:

Same thing as before

Convert into improper for it to be easier to solve

11/3 - 9/5

THe common multiple is 15 here

55/15 - 27/15 = 28/15

Now 28/15 into a mixed is

1 13/15

Using the speed - distance relationship, Marcie's time will be 6 hours. Hence, she'll match her parents time.

Recall :

To obtain Marcie's time :

We can solve for y thus :

y × 18 = 108

y = 108 / 18

y = 6 hours

Since, Marcie's will cover the same distance in 6 hours, the she'll match and surpass her parents time.

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Answer:

1.25 Hours (1 hour & 15 minutes)

Step-by-step explanation:

14x = 5 + 10x  

Subtract 10x from both sides

4x = 5

Divide by 4 on both sides

x = 1.25

It will take 1 hour and 15 minutes (1.25 hours) for Mrs. Penn and Mrs. Smith to be paid the same amount.

Answer: the answer is d hope this helps if not i'm sorry

Step-by-step explanation:

2008because there is no difference between the number of sold notebooks

Answer:

41 litters to gallons is 10.8311

3.5 gallons to litters is 13.2489

A = 10.8311 Gallons

B = 13.2489 Literes

Answer:

Step-by-step explanation:

Applying the squaring rule to each of the elements of the domain, we get ...

  [tex]\begin{array}{cc}\text{Domain}&\text{Range}\\1&1\\-3&9\\-\frac{1}{2}&\frac{1}{4}\\3&9\\2&4\\\frac{1}{4}&\frac{1}{16}\\0.5&\frac{1}{4}\end{array}[/tex]

__

1. There are 7 different numbers in the Domain list.

2. See above

3. There are 5 different numbers in the Range list.

4. The rule "square me" is not "one-to-one" Two different values in the domain can result in the same value in the range. -3 and 3 both result in 9. -1/2 and 0.5 both result in 1/4.

Answer:

Topics include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle. Common Core: HSG-C.A.2

Step-by-step explanation:

PA BRAINLIEST

Step-by-step explanation:

Reduce 24/96 to lowest terms

Find the GCD (or HCF) of numerator and denominator. GCD of 24 and 96 is 24.

24 ÷ 2496 ÷ 24.

Reduced fraction: 14. Therefore, 24/96 simplified to lowest terms is 1/4.

Step-by-step explanation:

Here is an Explanation

Reduce 24/96 to lowest terms

The simplest form of

24

96

is

1

4

.

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 24 and 96 is 24

Divide both the numerator and denominator by the GCD

24 ÷ 24

96 ÷ 24

Reduced fraction:

1

4

Therefore, 24/96 simplified to lowest terms is 1/4.

Answer:

[tex]\huge\boxed{g^{-1}(x)=\sqrt{x-1}\ \text{for}\ x\geq1}[/tex]

Step-by-step explanation:

[tex]g(x)=x^2+1\to y=x^2+1\\\\\text{exchange x with y and vice versa}\\\\x=y^2+1\\\\\text{solve for}\ y\\\\y^2+1=x\qquad|\text{subtract 1 from both sides}\\\\y^2=x-1\to y=\sqrt{x-1}\\\\\text{Domain}\\\\x-1\geq0\qquad|\text{add 1 to both sides}\\\\x-1+1\geq0+1\\\\x\geq1[/tex]

[tex]g(x) = x^2+1\\\\\text{Write g(x) as}~ y = x^2 +1\\\\\text{Replace x with y: }\\\\x = y^2 +1\\\\\text{Solve for y:}\\\\x = y^2 + 1 \\\\\implies y = \pm \sqrt{x-1}\\\\\\\implies g^{-1} (x) = \pm\sqrt{x-1}[/tex]

Answer:

Step-by-step explanation:

2x + 8y = 19

5x + 7y = 15

The height of the tower is 452.66 ft

The situation will form 2 right angle triangle. One above the line of sight

and one below the line of sight.

Therefore,

Using trigonometric ratio,

tan ∅ = opposite / adjacent side

tan 30° = h(top of the tower) / 425

h(top of the tower) = tan 30 × 425 = 245.373864406  

tan 26° = h(bottom of the tower) / 425

h(bottom of the tower) = 425 × tan 26° = 207.28635014

Therefore,

Height of tower = h(top of the tower) + h(bottom of the tower)

Height of tower = 245.37 + 207.29 = 452.66 ft

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