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2 years ago

How to put Twelve birds are 3 more than twice the number of birds Rhonda saw yesterday as an equation

Mathematics

1 answer:

Artist 52 [7]2 years ago

3 0

First set up birds is +3 than 2x the number of birds Rhonda saw

Rhonda's birds = r

Current set of birds = c

c = 2r + 3

Current birds are equal to three more than double the amount of birds rhonda saw

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2.The number of grams A of a certain radioactive substance present at time, in yearsfrom the present, t is given by the formulaA

professor190 [17]

Answer:

Given that,

The number of grams A of a certain radioactive substance present at time, in years

from the present, t is given by the formula

$A=45e^{-0.0045(t)}$

a) To find the initial amount of this substance

At t=0, we get

$A=45e^{-0.0045(0)}$ $A=45e^0$

We know that e^0=1 ( anything to the power zero is 1)

we get,

$A=45$

The initial amount of the substance is 45 grams

b)To find thehalf-life of this substance

To find t when the substance becames half the amount.

A=45/2

Substitute this we get,

$\frac{45}{2}=45e^{-0.0045(t)}$

$\frac{1}{2}=e^{-0.0045(t)}$

Taking natural logarithm on both sides we get,

$\ln (\frac{1}{2})=-0.0045(t)^{}$ $(-1)\ln (\frac{1}{2})=0.0045(t)$ $\ln (\frac{1}{2})^{-1}=0.0045(t)$ $\ln (2)=0.0045(t)$ $0.6931=0.0045(t)$ $t=\frac{0.6931}{0.0045}$ $t=154.02$

Half-life of this substance is 154.02

c) To find the amount of substance will be present around in 2500 years

Put t=2500

we get,

$A=45e^{-0.0045(2500)}$ $A=45e^{-11.25}$ $A=45\times0.000013=0.000585$ $A=0.000585$

The amount of substance will be present around in 2500 years is 0.000585 grams

4 0

5 months ago

What is the equation of the following graph in vertex form?

Elza [17]

$\bf \boxed{y=(x-{{ h}})^2+{{ k}}}\\\\
x=(y-{{ k}})^2+{{ h}}\qquad\qquad vertex\ ({{ h}},{{ k}})\\\\
-----------------------------\\\\
\textit{vertex is at 4,-4}\implies 
\begin{cases}
h=4\\
k=-4
\end{cases}\implies y=(x-4)^2+(-4)
\\\\\\
\boxed{y=(x-4)^2-4}$

6 0

2 years ago

Read 2 more answers

I am bored, answer with the BEST answer and I will make you brainliest............

Arada [10]

If it took you (one person) 3 days to build a doghouse, then it should take 2 people to build it in half the time. So all we have to do is split 3 days in 2.

3/2 = 1.5
So it would take 1 1/2 days or 36 hours for 2 people to complete the doghouse.

3 0

3 years ago

Question 2(Multiple Choice Worth 1 points)

Tomtit [17]

The sequence is " Algebraic, common difference = −10 " ⇒ 1st answer

Step-by-step explanation:

Let us revise the algebraic and geometric sequences

The Algebraic sequence is the sequence that has a common difference between each two consecutive terms, like 2 , 5 , 8 , 11 , 14 , .......... the difference between the 5 and 2 is equal to the difference between 8 and 5, and the difference between 11 and 8 and the difference between 14 and 11
The geometric sequences is the sequence that has a common ratio between each two consecutive terms, like 3 , -9 , 27 , -81 , ...... the ratio between -9 and 3 as the ratio between 27 and -9 as the ratio between -81 and 27

→ x : 1 : 2 : 3 : 4

→ f(x) : 5 : -5 : -15 : -25

x represents the positions of the terms

f(x) represents the value of each term

∵ 1st = 5 and 2nd = -5

∵ -5 - 5 = -10

∵ 2nd = -5 and 3rd = -15

∵ -15 - (-5) = -15 + 5 = -10

∵ 3rd = -15 and 4th = -25

∵ -25 - (-15) = -25 + 15 = -10

∴ There is a common difference -10 between each two

consecutive terms

∴ The sequence is algebraic with common difference -10

The sequence is " Algebraic, common difference = −10 "

Learn more:

You can learn more about the sequences in brainly.com/question/1522572

#LearnwithBrainly

8 0

2 years ago

Help anyone? its pretty easy im just lazy

marishachu [46]

The picture is blank. It just pops up a black screen , what the question

4 0

2 years ago

Read 2 more answers