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Sauron [17]
3 years ago
8

Help with question 8 a and b)

Mathematics
1 answer:
Artist 52 [7]3 years ago
5 0
I think when you subtract 4 from x, you are shifting the graph right horizontally 4 units.  When you add 84 at the end of the function, you are shifting it up vertically 84 units.  When you times it by -5, you are stretching it by a factor of 5 and flipping it upside down.

just think of how each term effects the y value.  
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Einsteinium-253253253 is an element that loses about \dfrac23
Sedbober [7]

Answer:

                         S(t)=450\times(1/3)^t

Explanation:

The element is <em>einstenium-253</em>. That means that the mass number, i.e. numbrer of protons plus neutrons, of this isotope is 253, but that is not relevant to answer the question.

It is said that the element <em>loses about 2/3 of its mass every month, </em>then to find the remaining amount, every month you have to multiply by 1/3.

With that you can create a decaying function that gives a sample's mass in grams:

         

        Initial\text{ }mass=M_0\\ \\ Mass\text{ }after\text{ }1\text{ }month=M_0\times1/3\\ \\  Mass\text{ }after\text{ }2\text{ }months=M_0\times(1/3)^2\\ \\  Mass\text{ }after\text{ }3\text{ }months=M_0\times(1/3)^3\\ \\  Mass\text{ }after\text{ }t\text{ }months=M_0\times(1/3)^t

Now you can replace the initial mass with 450 g and write the specific function for this sample:

          S(t)=450\times(1/3)^t

4 0
3 years ago
Read 2 more answers
A = 6 - 35 B = 3x + 53<br> Solve for x then find the measure of A.
11111nata11111 [884]

Answer:

A = 73°

Step-by-step explanation:

A + B = 180 because of alternating interior angles

Substitute each angle

6x - 35 + 3x + 53 = 180

9x + 18 = 180

9x = 162

x = 18

Substitute A

A = 6x - 35

A = 108 - 35

A = 73

Hope this helps

Have a great day!

6 0
3 years ago
PLEASE HELPPPPPPP!!!!!!!!!!!!
Katarina [22]

Answer:

9 in, or B

Step-by-step explanation:

We can easily apply the Pythagorean Theorem to this. You could either realize that this is a 3-4-5 Pythagorean triple or do the math by hand.

We start off by setting up the equation 12² + x² = 15². Simplifying, we get 144 + x² = 225, and then x² = 81 after subtracting 144 from both sides. Thus, the square root of x is 9, and so the answer is 9 inches.

7 0
2 years ago
Read 2 more answers
Find the area of each circle. Round to the nearest tenth. Use 3.14 or 22/7 for pie
Ray Of Light [21]

Answer:

Step-by-step explanation:

What

are you calculating area or circumference??

7 0
3 years ago
PLZ ANSWER QUICK IT WILL HELP A LOT!
Ivanshal [37]

Answer: the Y-axis

Step-by-step explanation:

y is swapped To negative

3 0
3 years ago
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