Ask question

Ask question

All categories

3 years ago

12

Match the graph with the correct equation.

1 answer:

choli [55]3 years ago

6 0

(-4)(-4)(6,8)
slope = (8 + 4)/(6+4) = 12/10 = 6/5

equation
y - 2 = 6/5(x - 1)

answer is B. second one

You might be interested in

Element X decays radioactively with a half life of 11 minutes. If there are 870 grams of Element X, how long, to the nearest ten

serg [7]

Answer:

It would take 27.5 minutes the element to decay to 154 grams.

Step-by-step explanation:

The decay equation:

$\frac {dN}{dt}\propto -N$

$\Rightarrow \R\frac {dN}{dt}=-\lambda N$

$\Rightarrow \frac {dN}N=-\lambda dt$

Integrating both sides

$\Rightarrow \int \frac {dN}N=\int-\lambda dt$

$\Rightarrow ln|N|=-\lambda t+c$

When t=0, N= $N_0$ = initial amount

$ln|N_0|=-\lambda .0+c$

$\Rightarrow c=ln|N_0|$

$ln|N|=-\lambda t+ln|N_0|$

$\Rightarrow ln|N|-ln|N_0|=-\lambda t$

$\Rightarrow ln|\frac{N}{N_0}|=-\lambda t$

Decay equation:

$ln|\frac{N}{N_0}|=-\lambda t$

Given that, the half life of of element X is 11 minutes.

For half life, $N=\frac12 N_0$ , t= 11 min.

$ln|\frac{N}{N_0}|=-\lambda t$

$\Rightarrow ln|\frac{\frac12N_0}{N_0}|=-\lambda . 11$

$\Rightarrow ln|\frac12}|=-\lambda . 11$

$\Rightarrow -\lambda . 11=ln|\frac12}|$

$\Rightarrow \lambda =\frac{ln|\frac12|}{-11}$

$\Rightarrow \lambda =\frac{ln|2|}{11}$ [ $ln|\frac12|=ln|1|-ln|2|=-ln|2|$ , since ln|1|=0]

N=154 grams, $N_0$ = 870 grams, t=?

$ln|\frac{N}{N_0}|=-\lambda t$

$\Rightarrow ln|\frac{154}{870}|=-\frac{ln|2|}{11}.t$

$\Rightarrow t= \frac{ln|\frac{154}{870}|\times 11}{-ln|2|}$

=27.5 minutes

It would take 27.5 minutes the element to decay to 154 grams.

5 0

3 years ago

Taya2010 [7]

Answer:

A customer inside a store slips in a pool of water and injures his back.

Step-by-step explanation:

6 0

4 years ago

Read 2 more answers

Determine if the triangles, PYG and triangle NBH similar. If so, identify the similarity criterion. AA similarity SAS similarity

ladessa [460]

Answer: B. SAS

Step-by-step explanation: I took the quiz

8 0

2 years ago

1. The value -2 is a lower bound for the zeros of the function shown below. f(x)=4x^3-12x^2-x+15

Alekssandra [29.7K]

First is false i believe

3 0

3 years ago

What is the answer to this equation 7/k-2=5/8

hodyreva [135]

7/k - 2 = 5/8
7/k = 5/8 + 2
7/k = 2.625
7 = 2.625k
7/2.625 = 2.625k/2.625
2(2/3) = k
k = 2(2/3)

5 0

3 years ago