Equivalent fraction of 8 1/3

kolbaska11 [484]

To find if a point is a solution to a system of equations, we need to plug in the x and y values of the point into each equation, and see if the equation is true.

Let's plug it into the first equation first:

-2(3) - 4(-2) might = 2
-6 + 8 = 2

The first equation is true.

Now, we need to check the second equation:

3(3) + 4(-2) might =8
9 - 8 does not = 8

Therefore, even if the point satisfies one equation, it does not satisfy the other. We can conclude that this is not a solution.

Hope this helps!

3 0

3 years ago

If N is the population of the colony and t is the time in days, express N as a function of t. Consider Upper N 0 is the origina

lesya [120]

Answer:

(a) $N(t)=Noe^{kt}$

(b)5,832 Mosquitoes

(c)5 days

Step-by-step explanation:

(a)Given an original amount $N_o$ at t=0. The population of the colony with a growth rate $k \neq 0$ , where k is a constant is given as:

$N(t)=Noe^{kt}$

(b)If $N_o=1000$ and the population after 1 day, N(1)=1800

Then, from our model:

N(1)=1800

$1800=1000e^{k}\\$Divide both sides by 1000\\e^{k}=1.8\\$Take the natural logarithm of both sides\\k=ln(1.8)$

Therefore, our model is:

$N(t)=1000e^{t*ln(1.8)}\\N(t)=1000\cdot1.8^t$

In 3 days time

$N(3)=1000\cdot1.8^3=5832$

The population of mosquitoes in 3 days time will be approximately 5832.

(c)If the population N(t)=20,000,we want to determine how many days it takes to attain that value.

From our model

$N(t)=1000\cdot1.8^t\\20000=1000\cdot1.8^t\\$Divide both sides by 1000\\20=1.8^t\\$Convert to logarithm form\\Log_{1.8}20=t\\\frac{Log 20}{Log 1.8}=t\\ t=5.097\approx 5\; days$

In approximately 5 days, the population of mosquitoes will be 20,000.

7 0

3 years ago

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When x=16 the value of y is 28. write an equation for y in terms of x

Burka [1]

Answer:

ig if it is brainiest

Step-by-step explanation:

y=1.75

4 0

3 years ago

What is the greatest of 10 and 15

Anastasy [175]

Answer:

15 is greater than 10

Step-by-step explanation:

Good luck with Maths and other subjects!

Please mark Brainliest..:-)

The greatest common factor of 15 and 10 is 5

6 0

3 years ago

Match each power of i with its multiplicative inverse.

erastovalidia [21]

By definition we have to:
In mathematics, the inverse multiplicative, reciprocal or inverse of a non-zero number x, is the number, denoted as 1/x or x -1, which multiplied by x gives 1.
We have then:

1) i
The multiplicative inverse is:
$\frac{1}{i}$
Rewriting we have:
$\frac{1}{i} \frac{i}{i}$
$\frac{i}{i^2}$
$\frac{i}{-1}$
$-i$
Answer 3) -i

2) i^2
The multiplicative inverse is:
$\frac{1}{i^2}$
Rewriting we have:
$\frac{1}{-1}$
$-1$
Answer 4) -1

3) i^3
The multiplicative inverse is:
$\frac{1}{i^3}$
Rewriting we have:
$\frac{1}{i*i^2}$
$\frac{1}{i^2}*\frac{1}{i}$
$\frac{1}{-1}*\frac{1}{i}*\frac{i}{i}$
$(-1)*\frac{i}{i^2}$
$(-1)* \frac{i}{-1}$
$i$
Answer 1) i

4) i^4
The multiplicative inverse is:
$\frac{1}{i^4}$
Rewriting we have:
$\frac{1}{i^2i^2}$
$\frac{1}{(-1)(-1)}$
$\frac{1}{1}$
$1$
Answer 2) 1

3 0

3 years ago

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