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3 years ago

HELP ASAP PLEASE I BEG TOU

Mathematics

2 answers:

nevsk [136]3 years ago

8 0

Answer:

(0,-2)

(2,-1)

(4,0)

Step-by-step explanation:

The points are the above ones.

Alina [70]3 years ago

3 0

x intercept: (4, 0)

y intercept: (0, -2)

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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

Which of the following represents (picture)

WINSTONCH [101]

The interval that represents the inequality 1 < x ≤ 6 is given by:

B. (1,6].

<h3>What is the standard interval notation?</h3>

The standard interval notation of an interval of lower bound a and upper bound b is given by:

[a,b].

The inequality notation is:

a ≤ x ≤ b

The set builder notation is:

{x | a ≤ x ≤ b}.

In this problem, we are given the inequality 1 ≤ x ≤ 6, hence a = 1 and b = 6, and <u>open at x = 1 and closed at x = 6,</u> hence the interval is:

B. (1,6].

More can be learned about intervals and inequalities at brainly.com/question/15034661

#SPJ1

5 0

2 years ago

saw5 [17]

Answer:

A. The number of boxes that can be packed by Ryan and Daniel each increases over time. Daniel's function has a greater rate of

change than Ryan's function indicating that Daniel can pack more boxes per hour.

Step-by-step explanation:

Given

Ryan: 3 boxes per hour

Daniel: $y = 4h$

Required

True statement about their functions

First, we calculate Ryan's function.

In 1 hour, he can pack 3 boxes.

In hours, he can pack 3h boxes.

So, the equation is:

$y = 3h$

So, we have:

$y = 3h$ ---- Ryan

$y = 4h$ --- Daniel

Both functions represent direct proportional functions.

So, when h increases y also increases.

<em>However, Daniel's function has a greater rate of change because</em> $y = 4h$ <em> implies that he can pack 4 boxes per hour while Ryan can pack 3.</em>

3 0

3 years ago

Mr. Parker wants to rent a cargo van for a day. It will cost the daily fee of $50 plus $0.35 per mile driven.

siniylev [52]

Answer:

Part A is D and part B is 78

Step-by-step explanation:

for part b 80 x0.35 is 28

28+50 is 78

6 0

3 years ago

The cost of renting a jet ski over a certain number of hours can be represented by the equation y=40x + 50. How much would it co

lesya [120]

Answer:

$170

Step-by-step explanation:

Let's say that x represents the amount of hours, so therefore, x will be replaced by 3:

y = (40 * 3) + 50

So, solve inside the parentheses:

y = (40 * 3) + 50

y = 120 + 50

Solve:

y = 120 + 50

y = 170

So, a jet ski would cost $170 to rent for 3 hours

Hope this helps :)

3 0

3 years ago