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2 years ago

10

Mathematics

2 answers:

ElenaW [278]2 years ago

8 0

The slope is -2
The y-intercept is -4

Hope this helps!

mario62 [17]2 years ago

6 0

Answer:

y-intercept= -4

slope= -2

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The population of rabbits on an island is growing exponentially. In the year 1990, the population of rabbits was 1200, and by 19

kobusy [5.1K]

Answer:

2023 rabbits

Step-by-step explanation:

The exponential model consists of the following expression:

$y = A \cdot r^{t}$

Where:

$A$ - Initial population.

$r$ - Increase rate.

$t$ - Time

$y$ - Current population.

The initial population and increase rate are, respectively:

$1200 = A \cdot r^{0}$

$A = 1200$

$1700 = 1200 \cdot r^{4}$

$r^{4} = \frac{1700}{1200}$

$r^{4} = \frac{17}{12}$

$r = \sqrt[4]{\frac{17}{12} }$

$r \approx 1.091$

The exponential model that predicts the population of rabbits is:

$y = 1200\cdot 1.091^{t}$

Lastly, the expected population for the year 1996 is:

$y = 1200\cdot 1.091^{6}$

$y\approx 2023.624\,rabbits$

5 0

3 years ago

The question is the picture thanks for helping

Vedmedyk [2.9K]

Answer:

Answer is option b)

Answer is given below with explanations.

Step-by-step explanation:

$a \: walking \: path \: is \: represented \: by \: \\ y = - 4x - 6 \\ 4x + y + 6 = 0 \\ given \: that \\ a \: new \: path \: will \: be \: built \: perpendicular \\ \: to \: \: the \: walking \: path \\ the \: equation \: of \: the \: line \: perpendicular \: to \\ 4x + y + 6 = 0 \: is \\ x - 4y + k = 0 \\ since \: it \: passes \: through \: ( - 4,10) \\ substitute \: x \: = - 4\: and \: y = 10 \: in \: required \: equation \\ - 4 - 4(10) + k = 0 \\ k = 44 \\ then \: the \: equation \: is \\ x - 4y + 44 = 0 \\ adding \: 4y \: on \: both \: sides \\ x + 44 = 4y \\ dividing \: by \: 4 \: on \: both \: sides \\ y = \frac{x}{4} + 11 \\ y = \frac{1}{4} x + 11 \\ so \: the \: answer \: is \: option \: b) \: \frac{1}{4} x + 11$

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION. 

8 0

3 years ago

Read 2 more answers

I need help finding m

Dafna1 [17]

Answer:

<A = 27 degrees

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

Tan A = opp side / adj side

Tan A = 2/4

Tan A = 1/2

Taking the inverse tan of each side

tan^-1 ( tan A) = tan ^-1 (1/2)

A =26.56505118

Rounding to the nearest degree

A = 27

5 0

2 years ago

I need the answer please

pochemuha

I cant see the link ummmmmm

3 0

3 years ago

The probability of event A is x, and the probability of event B is y. If the two events are independent, which of these conditio

zzz [600]

If two events are independent, then

$Pr(A\cap B)=Pr(A)\cdot Pr(B)$ .

Use formulas for conditional probabilities:

$Pr(A|B)=\dfrac{Pr(A\cap B)}{Pr(B)},\\ \\ Pr(B|A)=\dfrac{Pr(A\cap B)}{Pr(A)}$ .

For independent events these formulas will be:

$Pr(A|B)=\dfrac{Pr(A\cap B)}{Pr(B)}=\dfrac{Pr(A)\cdot Pr(B)}{Pr(B)}=Pr(A),\\ \\ Pr(B|A)=\dfrac{Pr(A\cap B)}{Pr(A)}=\dfrac{Pr(A)\cdot Pr(B)}{Pr(A)}=Pr(B)$ .

Now in your case $Pr(A)=x,\ Pr(B)=y$ and $Pr(A|B)=x,\ Pr(B|A)=y, Pr(A\cap B)=x\cdot y$ .

This shows that the only correct choice is A.

5 0

3 years ago

Read 2 more answers