Can you guys help me answer these!??

A particle decays at a rate of 0.45% annually. assume and initial amount of 300 mg. (

raketka [301]

The increase is an exponential increase in a multiplier
$100%+0.45%=100.45%$ and as decimal 1.0045

Final Value = Initial Value × $multiplier^{number of years}$
Final value = $300(1.0045)^{60}$
Final value = 393 mg (to the nearest whole number)

Half life = 0.5 years
Final value = $300(1.0045)^{0.5}$ =301 mg

6 0

3 years ago

(x + 7)^2 – 11 = 0<br> lesser =<br> greater =

Andreyy89

Answer:

Lesser = - $\sqrt{11}$ - 7 = -10.317

Greater = + $\sqrt{11}$ - 7 = -3.683

Step-by-step explanation:

I am assuming you are asking for the lesser x solution and greater x solution.

(x + 7)^2 – 11 = 0

(x + 7)^2 = 11

x+7 = ± $\sqrt{11}$

x = ± $\sqrt{11}$ - 7

Lesser = - $\sqrt{11}$ - 7 = -10.317

Greater = + $\sqrt{11}$ - 7 = -3.683

4 0

3 years ago

Read 2 more answers

3. Find the value of m for which the equation mx + 14 = 12 + 2 has one repeated root.

umka2103 [35]

Using the discriminant of a quadratic equation, it is found that the quadratic equation would have one repeated solution for m = -3.

<h3>What is the quadratic equation?</h3>

The quadratic equation is given as follows:

mx² + 12x - 12.

<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>

A quadratic equation is modeled by:

$y = ax^2 + bx + c$

The discriminant is:

$\Delta = b^2 - 4ac$

The solutions are as follows:

If $\mathbf{\Delta > 0}$ , it has 2 real solutions.

If $\mathbf{\Delta = 0}$ , it has 1 real solutions.

If $\mathbf{\Delta < 0}$ , it has 2 complex solutions.

For this problem, the coefficients are:

a = m, b = 12, c = -12.

Hence the discriminant is:

b² - 4ac = 144 + 48m.

We want it to be of 0, hence:

144 + 48m = 0

m = -144/48

m = -3.

More can be learned about the discriminant of a quadratic equation at brainly.com/question/19776811

#SPJ1

7 0

2 years ago

When a large marketing company contracts with a payroll service company to process employee checks then they are

DaniilM [7]

Outsourcing is well known as just an exercise which takes occurs when a company, therefore the answer is "Option b" that is "Outsourcing", and the further discussion can be defined as follows:

It gives another business a task to perform or to undertake for them rather than themselves.
It is an agreement between the two companies, usually for a specified period.
It is made to be better efficient and to minimize the costs.
In the large marketing company agreements for worker cheques with such a payroll service provider, they outsource people.

Therefore, the final answer is "Option b".

Learn more:

brainly.com/question/2614785

5 0

3 years ago

1-69.

timofeeve [1]

The question above was not written properly

Complete Question

Lacey and Haley are rewriting expressions in an equivalent, simpler form.

a. Haley simplified x³⋅ x² and got

x⁵

Lacey simplified x³ + x² and got the same result! However, their teacher told them that only one simplification is correct. Who simplified correctly and how do you know?

b. Haley simplifies 3⁵⋅ 4⁵ and gets the result 12^10, but Lacey is not sure.

Is Haley correct? Be sure to justify your answer.

Answer:

a) Haley is correct, Lacey simplified wrongly.

b) Haley is incorrect

Step-by-step explanation:

a. Haley simplified x³⋅ x² and got

x⁵

Lacey simplified x³ + x² and got the same result! However, their teacher told them that only one simplification is correct. Who simplified correctly and how do you know?

For Question a, when it comes to simplifying algebraic expression that has to do with powers, there are certain rules that should be followed.

For example

x^a × x^b = x^(a + b)

For Haley, she simplified x³⋅ x² and got

x⁵

She is correct because this follows the product rule of powers or exponents above

= x³⋅ x² = x³+² = x⁵

For Lacey she is wrong because:

x³ + x² ≠ x⁵

x³ + x² when simplified as quadratic equation = x²(x + 1)

b. Haley simplifies 3⁵⋅ 4⁵ and gets the result 12^10, but Lacey is not sure.

Is Haley correct? Be sure to justify your answer.

For question b, when we have two distinct or different numbers with the same power(exponents) the rule states that:

x^a × y^a = (x × y)^a = (xy)^a

Haley is simplified wrongly. She did not apply the rule above

Haley simplified 3⁵⋅ 4⁵ = (3 × 4) ⁵+⁵

= 12^10, this is wrong.

The correct answer according to the rule =

3⁵⋅ 4⁵ = (3 × 4) ⁵ = 12⁵

Therefore,

3⁵⋅ 4⁵ ≠ 12^10

3⁵⋅ 4⁵ = 12⁵

Haley is wrong.

3 0

3 years ago