All categories

3 years ago

HELLPPPPPLSSSS SOMSE

Mathematics

1 answer:

Nina [5.8K]3 years ago

7 0

Answer:

Option F

Step-by-step explanation:

F). x + y = 3 -------(1)

x - 3y = -2 --------(2)

Equation (1) minus equation (2)

(x + y) - (x - 3y) = 3 - (-2)

4y = 5

y = 1.25

Hence, y is positive.

G). x + y = 3 --------(1)

x + y = -2 --------(2)

Both the equations represent parallel lines.

There are no solutions of the given equations.

H). x - 3y = -2 -------(1)

x + y = -2 -------(2)

Equation (2) minus equation (1)

(x + y) - (x - 3y) = -2 - (-2)

4y = 0

y = 0

Since, 0 is neither positive nor negative, y will be neither positive nor negative.

J). x + y = 3 -------(1)

x - y = 3 --------(2)

Equation (1) - Equation (2)

(x + y) - (x - y) = 3 - 3

2y = 0

Hence, y is neither negative nor positive.

Therefore, Option F is the answer.

You might be interested in

An important tool in archeological research is radiocarbon dating, developed by the American chemist Willard F. Libby.3 This is

Radda [10]

Answer:

Q(t) = Q_o*e^(-0.000120968*t)

Step-by-step explanation:

Given:

- The ODE of the life of Carbon-14:

Q' = -r*Q

- The initial conditions Q(0) = Q_o

- Carbon isotope reaches its half life in t = 5730 yrs

Find:

The expression for Q(t).

Solution:

- Assuming Q(t) satisfies:

Q' = -r*Q

- Separate variables:

dQ / Q = -r .dt

- Integrate both sides:

Ln(Q) = -r*t + C

- Make the relation for Q:

Q = C*e^(-r*t)

- Using initial conditions given:

Q(0) = Q_o

Q_o = C*e^(-r*0)

C = Q_o

- The relation is:

Q(t) = Q_o*e^(-r*t)

- We are also given that the half life of carbon is t = 5730 years:

Q_o / 2 = Q_o*e^(-5730*r)

-Ln(0.5) = 5730*r

r = -Ln(0.5)/5730

r = 0.000120968

- Hence, our expression for Q(t) would be:

Q(t) = Q_o*e^(-0.000120968*t)

7 0

3 years ago

***SUPER HARD QUESTION THAT I CAN'T SOLVE, HOMEWORK IS DUE TOMMOROW! HELP!!!

kodGreya [7K]

It’s gonna be 9/10 or 0,9

8 0

3 years ago

A stock priced at $100 has a 70% probability of moving up and a 30% probability of moving down. If it moves up, it increases by

masha68 [24]

Answer:

The probability that after two period we will have the same value of $100 is:

$p =0.21+0.21 = 0.42$

Step-by-step explanation:

We can analyze this situation by cases.

Stock moves up two times

For this case the final value would be:

$100 *1.02*1.02= $104.04

And the probability associated to this event is 0.7*0.7=0.49

Stock moves down two times

For this case the final value would be:

$100 *(1/1.02)*(1/1.02)= $96.117

And the probability associated to this event is 0.3*0.3=0.09

Stock moves up and then down

For this case the final value would be:

$100 *(1.02)*(1/1.02)= $100

And the probability associated to this event is 0.7*0.3=0.21

Stock moves down and then up

For this case the final value would be:

$100 *(1/1.02)*(1.02)= $100

And the probability associated to this event is 0.3*0.7=0.21

So then the probability that after two period we will have the same value of $100 is :

$p =0.21+0.21 = 0.42$

7 0

3 years ago

A pot of stew is placed on a stove to heat. The temperature of the liquid reaches 170°F, and then the pot is taken off the burne

belka [17]

Answer:

$T =84.7\°F$

Step-by-step explanation:

Newton's cooling model is:

$T(t) =T_0 + (T_i-T_0)e^{-kt}$

Where

t is the time in hours

$T_0$ is the ambient temperature

$T_i$ is the initial temperature of the body

$k=0.34$

We know that:

$T_0=76\°F$

$T_i=170\°F$

Then after 7 hours the temperature of the liquid will be:

$T(7) =76 + (170-76)e^{-0.34(7)}$

$T =84.7\°F$

7 0

3 years ago

What equation can be used to find the sum of 4/10 and 7/100

xz_007 [3.2K]

Answer:

47/100

Step-by-step explanation:

First you have to make the denominators equal.

4/10 * 10/10 = 40/100

40/100 + 7/100 = 47/100

4 0

2 years ago