I need help ASAP! I took a screenshot of the question and linked it.

I Need Help ASAP! I Took A Screenshot Of The Question And Linked It.

Answers

Answer 1

Before we solve this problem:

    ⇒ let's figure out what all the variables in the equation stand for

t: number of years after initial rabbit populationr(t): number rabbits in 't' years

Question 16: How many rabbits will there be in 8 years?Since it is asking how many rabbits there be in 8 years

         ⇒ that means we substitute 8 into 't' of the equation

                 [tex]R(t) = 225e^{0.375t} =225e^{0.375*8} =225e^3 = 4519.2[/tex]

          *we will round down the number of rabbits since it is impossible to

           have 0.2 of a rabbit

       There will be 4519 rabbits in 8 years.

Question 17: When will the population be 15000?Since it asking for when the population or R(t) will be 15000

         ⇒ we substitute 15000 into 'R(t)' of the function and solve for 't'

                [tex]R(t) = 225e^{0.375t}\\15000=225*e^{0.375t}\\\frac{15000}{225} =e^{0.375t}\\ln(\frac{15000}{225})=0.375t\\ t = 11.2[/tex]

            *in this case, you want it to the nearest year, round it up since we

             asked for how many years, and if we were to say 11, the

            the population of rabbits wouldn't have reached that number yet,

           so we will round up to ensure that number has been reached by

           that year.

       

       It will take at least 12 years for the rabbit population to reach 15000

Hope that helps!

       


Related Questions

20 points. A certain event may occur, but it is unlikely to occur.

Which statement about the probability of the event is true?


A. The probability is close to 0.

B. The probability is 0.

C. The probability is 1.

D. The probability is less than 0.

Answers

Answer:

A

Step-by-step explanation:

Close to 0 means there isn't a certain number, and there also isn't a certain answer for what the probability. While all of the others are alreaady stated, this is the only one that is not.

{2x+3y=−7, 7x+9y=−14
Answer as an ordered pair (x,y).

Answers

Answer:

Step-by-step explanation:

2x + 3y = -7

7x + 9y = -14

-3(2x+3y= -7) = -6x - 9y = 21

-6x - 9y = 21

7x + 9y = -14

add columns (y values cancel)

1x + 0y = 7

x = 7

plug 7 into the x value in either equation to find y

2(7) + 3y = -7

14 + 3y = -7

3y = -21

y = -7

(x,y) = (7,-7)

PLS ANSWER FAST FOR MY TEST!! There were three ant hills in Mrs. Brown's yard. The first ant hill had 4,867,190 ants. The second ant hill had 6,256,304 ants, and the third ant hill had 3,993,102 ants. Choose the best estimate of the number of ants in Mrs. Brown's yard.

Answers

Answer:

my best estimate would be 15,116,600

Step-by-step explanation:

,

Which is greater -3 or -1/3 ?​

Answers

Answer:

-1/3

Step-by-step explanation:

because it is a negative number and closer to zero than -3 is making it greater, becuase it is closer to a positive number.

Answer:

-1/3 is greater than -3

-3 < -1/3

How many pints are in​6 1/2​quarts?

314​pt

13 pt

1912​pt

26 pt

Answers

Answer:

13 pints

Step-by-step explanation:

6 1/2 (6.50) quarts is equal to 13 pints

Answer:

13pt

to go from quarts to pints multiply the value by 2

Raul is a saver. He sets aside $100 per month during his career of 40 years to prepare for retirement. He does not like the idea of investing because he prefers to minimize his risk as much as possible, so he puts his money in a savings account which earns 1.5% interest per year.

Answers

The total balance in Raul's account after 40 years when he retires is $65,714.90.

What is the total balance?

The formula that can be used to determine the balance of the accout is: monthly amount saved x annuity factor.

Annuity factor = {[(1+r)^n] - 1} / r

Where:

r = interest rate = 1.5/12 n = number of periods = 12 x 40 = 480

$100 x [(1.00125^480) - 1 ] / 0.00125 = $65,714.90

Here is the complete question:

Raul is a saver. He sets aside $100 per month during his career of 40 years to prepare for retirement. He does not like the idea of investing because he prefers to minimize his risk as much as possible, so he puts his money in a savings account which earns 1.5% interest per year. What is the balance in the account after 40 years?

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Rewrite each equation without absolute value for the given conditions
y=|x-5|+|x+5| if x>5
y=|x-5|+|x+5| if x<-5
y=|x-5|+|x+5| if -5

Answers

Step-by-step explanation:

Condition 1

x > 5, both terms are positive

y = x - 5 + x + 5 = 2xCondition 2

x < - 5, both terms are negative

y = - (x - 5) - (x + 5) = - x + 5 - x - 5 = - 2xCondition 3

This is not clear

If x>5

Terms are positive

Hence..

y=x-5+x+5=2x

If x<-5 terms are negative

y=-x+5-x-5=-2x

If x=-5

y=|-5-5|+|-5+5|y=|-10|y=10

help to search for JOIN in this alphabet soup please ​

Answers

Answer:

hopefully this helps :] 16th line down I think

i need help with this algebra question

Answers

Answer:

[tex]m=\frac{6}{7}[/tex]

Step-by-step explanation:

[tex]m=\frac{10-4}{9-2}=\frac{6}{7}[/tex]

Answer:  [tex]\frac{6}{7}[/tex]

Explanation:

In the numerator we have [tex]y_2 - y_1 = 10-4 = 6[/tex] to represent the change in y, aka the rise. This is the vertical change. It's how much we go up.

The denominator has [tex]x_2 - x_1 = 9-2 = 7[/tex] to represent the run. It is the horizontal change, or how much we go to the right.

We go up 6 and to the right 7 to have a slope of [tex]m = \frac{\text{rise}}{\tex{run}} = \frac{6}{7}[/tex]

Here's how you can show the steps

[tex]m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{10-4}{9-2}\\\\m = \frac{6}{7}\\\\[/tex]

Note: To write [tex]\frac{6}{7}[/tex] on the keyboard, you can type 6/7

Jeff is buying books at a used booksttore.He wants to approximate the total cost of his purchase before checking out

Answers

Not enough info to answer sorry

Show the problem on a number line:
4(-2) =

Answers

Answer:

-8

Step-by-step explanation:

This is the same as 4 x -2.

The parenthesis just means to multiply the number to the left by whatver is in the paranthesis when it is touching like that.

What are the zeros of the polynomial p(x) = x3 – 19x - 30?
-
1.
-10, 1, 3
2.
-6, -5, 1
3.
-3, -2,5
4.
-15, 1, 2

Answers

Answer:

x= -2

x= -3

x= 5

Step-by-step explanation:

M6003
Which expression shows 48 +66 rewritten as the greatest common factor multiplied by the sum of two
1.
numbers?
OA. 3(16 +22)
OB. 3(45 + 63)
O C. 6(8 + 11)
O D. 6(42 + 60)

Answers

The expression is rewritten as the greatest common factor multiplied by the sum of two numbers is: 6*(8 + 11)

How to rewrite the expression?

First, we need to find the greatest common factor between 48 and 66.

To find it, we can write both of these as a product of its prime factors, we get:

48 = 2*24 = 2*2*12 = 2*2*2*6 = 2*2*2*2*3

66 = 2*33 = 2*3*11

The greatest common factor that we can make is 2*3 = 6

Then we rewrite the numbers as:

48 = 6*8

66 = 6*11

Now we can rewrite our expression:

48 + 66 = 6*(8 + 11)

So the correct option is C

If you want to learn more about common factors, you can read:

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what is it u can just say abc

Answers

Answer: dude idek how to do this

Step-by-step explanation:

not lying still dont know

what is the probability scale that you will buy a new pair of shoes soon​

Answers

Answer:

The probability scale for this question is not 100% sure to buy shoes so the scale is given to be even chance(1/2).

Step-by-step explanation:

what types of atoms are there in a cell

Answers

Answer:

carbon (C), hydrogen (H), nitrogen (N), and oxygen (O)—make up 96.5% of an organism's weight.

Step-by-step explanation:

hope this helps.

H because it’s a metal source all the giving power products and produce


An annual percentage rate (APR) includes:

A. both the interest and fees on a loan.

B. only the fees on a loan.

C. neither the interest nor the fees on a loan.

D. only the interest on a loan.

Answers

Answer:

A. both the interest and fees on a loan.

Step-by-step explanation:

An annual percentage rate (APR) includes both the interest and fees on a loan.

[tex]\purple{\boxed{\blue{\boxed{\green{\star{\orange{\ \: \: Sumin-!! \: \: \: {\green{\star}}}}}}}}}[/tex]

Given m < AFB = 40, m < BAF = 90, and m < AGD = 86. Find measure of arc AC.

Answers

Answer:    100 degrees

=================================================

Explanation:

Refer to the figure below.

Focus on triangle ABF. Angle AFB = 40 is marked in red. Angle BAF = 90 is marked in blue. The missing angle is 180-90-40 = 50 which is angle ABF.

Inscribed angle ABF = 50 doubles to arc AC since this inscribed angle subtends the arc in question. I'm using the inscribed angle theorem.

arc AC = 2*(angle ABF) = 2*50 = 100 degrees

Note: We don't need the fact that angle AGD = 86

jack had m problems to complete during his vacation. (a) how many problems did jack solve per day? (b) suppose jack was solving 15 problems per day. (c) How many problems were assigned for homework

Answers

Answer:

a) m problems, d days to complete.

m/d

b) m/15d

c)-if 15 was connected; 15d

if 15 WAS NOT connected, m problems

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

80 take away the ten from 90 and boom it’s also a acute angle

Answer:

Right angle

Step-by-step explanation:

It is because ANGLE QMS from the given figure denote 90 ° and right angle means 90°.


A right triangle has one angle that measures 60°. What is the measure of the other acute angle?

Answers

Answer:

  30°

Step-by-step explanation:

The angle sum theorem tells you the sum of angles in any triangle is 180°. A right triangle has one angle that is 90°, so the sum of the remaining two acute angles is 180° -90° = 90°. That is, the acute angles in a right triangle are complementary.

__

The other acute angle is ...

  90° -60° = 30°

x^2+y^2=y is written in polar form as r = ?
r = 3sinA is written in rectangular form as x^2+y^2= ?

Answers

[tex]x^2+y^2=r^2~\hfill x=rcos(\theta )~\hfill y=rsin(\theta ) \\\\[-0.35em] ~\dotfill\\\\ r=3sin(A)\implies \stackrel{\textit{multiplying both sides by "r"}}{r^2~~ = ~~3~rsin(A)}\implies x^2+y^2=3y[/tex]

r = 3sinA is written in rectangular form as[tex]x^2+y^2 = 3y.[/tex]

What is De Moivre's theorem for exponentiation of complex numbers?

Any complex number z = a + ib can be written in polar form as:

[tex]z = r(\cos(\theta) + i\sin(\theta))[/tex]

Complex numbers are those numbers that contain the imaginary and the real part.

Raising this to nth power (n being an integer), we get:

[tex]z ^n = r^n (\cos(n\theta) + i\sin(n\theta))[/tex]

We need to find r = 3sinA is written in rectangular form as[tex]x^2+y^2[/tex].

We know that

x = r cosA

y = r sin A

We have been given ;

r = 3sinA

Multiply by r on both sides;

[tex]r^2 = 3r sin A\\\\r^2 = 3 y[/tex]

therefore,

[tex]x^2+y^2 = 3y[/tex]

Hence, r = 3sinA is written in rectangular form as [tex]x^2+y^2 = 3y[/tex].

Learn more about cube root of complex numbers here:

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five years ago, Nina was twice as old as Sam. In five years she will be 1.5 times as old as Sam. How old are Nina and Sam now?

Answers

The age of Nina and sam are 15years and 10 years respectively now

System of equations

They consists of equations and unknown variables

Let their current age be x and y

If five years ago, Nina was twice as old as Sam then;

x - 5 = 2(y-5)

If in five years she will be 1.5 times as old as Sam, then;

x = 1.5y

Substitute

1.5y - 5 = 2y -10

-0.5y  = -5

y =5/0.5

y = 10

Since x = 1.5y

x = 15years

Hence the age of Nina and sam are 15years and 10 years respectively now

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Question 5
Thank you

Answers

mA= 120
mC= 45
Because the triangle has total 180
So 12x+12+15+3x+18=180
So x=9
Subtitute for equation
12x9+12=120
3x9+18=45

what is pi? In order to prove mastery explain how pie relates to the circumference and diameter of a circle

Answers

Pi, or π, is a number that is used to represent the ratio between a circle's circumference and its diameter.

Step-by-step explanation:

The number π (/paɪ/; spelled out as "pi") is a mathematical constant, approximately equal to 3.14159. It is defined in Euclidean geometry[a] as the ratio of a circle's circumference to its diameter, and also has various equivalent definitions. It appears in many formulas in all areas of mathematics and physics. The earliest known use of the Greek letter π to represent the ratio of a circle's circumference to its diameter was by the Welsh mathematician William Jones in 1706.[1] It is also referred to as Archimedes's constant.[2][3]

As an irrational number, π cannot be expressed as a common fraction, although fractions such as
22
/
7
are commonly used to approximate it. Equivalently, its decimal representation never ends and never settles into a permanently repeating pattern. Its decimal (or other base) digits appear to be randomly distributed, and are conjectured to satisfy a specific kind of statistical randomness.

It is known that π is a transcendental number:[2] It is not the root of a non-zero polynomial with rational coefficients. The transcendence of π implies that it is impossible to solve the ancient challenge of squaring the circle with a compass and straightedge.

What is the equation of the line that passes through the point (4,1) and has a slope
of 1/2

Answers

Linear Equations

Linear equations are usually organized in slope-intercept form, which looks like this:

[tex]y=mx+b[/tex]

m is the slope of the lineb is the y-intercept (the value of y when the line passes through the y-axis)

To find the equation of a line in slope-intercept form:

Determine the slope of the linePlug the slope into the general formDetermine the y-intercept by solving for b Plug b back into the equation

Solving the Question

We're given:

m = [tex]\dfrac{1}{2}[/tex](4,1) falls on the line

First, plug the given slope into the slope-intercept form equation:

[tex]y=mx+b\\\\y=\dfrac{1}{2}x+b[/tex]

Now, determine the y-intercept.

[tex]y=\dfrac{1}{2}x+b[/tex]

⇒ Plug in the given point (4,1) and solve for b:

[tex]1=\dfrac{1}{2}(4)+b\\1=2+b\\b=-1[/tex]

⇒ Therefore, the y-intercept is -1. Plug this back into our original equation:

[tex]y=\dfrac{1}{2}x-1[/tex]

Answer

[tex]y=\dfrac{1}{2}x-1[/tex]

After your training program is completed, what should you do?
A. Evaluate progress
B. None apply
C. Start the program again
D. Add on more time

Answers

Answer:

A. evaluate progress

Step-by-step explanation:

common sense

Solve the system of equations. If a system has one unique solution, write the solution set. Otherwise, determine the number of solutions to the system, and
determine whether the system is inconsistent, or the equations are dependent.
- 2x + 6y + 3: = -31
- 3y + 7: = 59
2- = 10
Da

Х
6
The system has one solution.
The solution set is {C10}
The system has no solution.
The system is inconsistent.
The equations are dependent.
The system has infinitely many solutions
The system is inconsistent
The equations are dependent
Continue
Submit Assignmer
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Answers

The value of x, y and z from the system of equation are -1, -8 and 5 respectively.

Data;

-2x + 6y + 3z = -31-3y + 7z = 592z = 10

System of Equation

To solve this problem, we have to solve the system of equation using substitution method.

From equation (iii)

[tex]2z = 10\\z = 5[/tex]

let us substitute the value of z into equation (ii)

[tex]-3y + 7z = 59\\z = 5\\-3y + 7(5) = 59\\-3y + 35 = 59\\-3y = 59 - 35\\-3y = 24\\y = -8[/tex]

Let's substitute the value of x and y into equation (i)

[tex]-2x + 6y + 3z = -31\\y = -8, z = 5\\-2x + 6(-8) + 3(5) = -31\\-2x - 48 + 15 = -31\\-2x - 33 = -31\\-2x = -31 + 33\\-2x = 2\\x = -1[/tex]

From the calculation above, the value of x, y and z are -1, -8 and 5 respectively.

Learn more on system of equations here;

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6 math questions, answer all please for all points

Answers

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 1

Recall that the projection of a vector [tex]u[/tex] onto [tex]v[/tex] is [tex]\displaystyle proj_vu=\biggr(\frac{u\cdot v}{||v||^2}\biggr)v[/tex].

Identify the vectors:

[tex]u=\langle-10,-7\rangle[/tex]

[tex]v=\langle-8,4\rangle[/tex]

Compute the dot product:

[tex]u\cdot v=(-10*-8)+(-7*4)=80+(-28)=52[/tex]

Find the square of the magnitude of vector v:

[tex]||v||^2=\sqrt{(-8)^2+(4)^2}^2=64+16=80[/tex]

Find the projection of vector u onto v:

[tex]\displaystyle proj_vu=\biggr(\frac{u\cdot v}{||v||^2}\biggr)v\\\\proj_vu=\biggr(\frac{52}{80}\biggr)\langle-8,4\rangle\\\\proj_vu=\biggr\langle\frac{-416}{80} ,\frac{208}{80}\biggr\rangle\\\\proj_vu=\biggr\langle\frac{-26}{5} ,\frac{13}{5}\biggr\rangle\\\\proj_vu=\langle-5.2,2.6\rangle[/tex]

Thus, B is the correct answer

Problem 2

Treat the football and wind as vectors:

Football: [tex]u=\langle42\cos172^\circ,42\sin172^\circ\rangle[/tex]

Wind: [tex]v=\langle13\cos345^\circ,13\sin345^\circ\rangle[/tex]

Add the vectors: [tex]u+v=\langle42\cos172^\circ+13\cos345^\circ,42\sin172^\circ+13\sin345^\circ\rangle\approx\langle-29.034,2.481\rangle[/tex]

Find the magnitude of the resultant vector:

[tex]||u+v||=\sqrt{(-29.034)^2+(2.481)^2}\approx29.14[/tex]

Find the direction of the resultant vector:

[tex]\displaystyle \theta=tan^{-1}\biggr(\frac{2.841}{-29.034}\biggr)\approx -5^\circ[/tex]

Because our resultant vector is in Quadrant II, the true direction angle is 6° clockwise from the negative axis. This means that our true direction angle is [tex]180^\circ-5^\circ=175^\circ[/tex]

Thus, C is the correct answer

Problem 3

We identify the initial point to be [tex]R(-2,12)[/tex] and the terminal point to be [tex]S(-7,6)[/tex]. The vector in component form can be found by subtracting the initial point from the terminal point:

[tex]v=\langle-7-(-2),6-12\rangle=\langle-7+2,-6\rangle=\langle-5,-6\rangle[/tex]

Next, we find the magnitude of the vector:

[tex]||v||=\sqrt{(-5)^2+(-6)^2}=\sqrt{25+36}=\sqrt{61}\approx7.81[/tex]

And finally, we find the direction of the vector:

[tex]\displaystyle \theta=tan^{-1}\biggr(\frac{6}{5}\biggr)\approx50.194^\circ[/tex]

Keep in mind that since our vector is in Quadrant III, our direction angle also needs to be in Quadrant III, so the true direction angle is [tex]180^\circ+50.194^\circ=230.194^\circ[/tex].

Thus, A is the correct answer

Problem 4

Add the vectors:

[tex]v_1+v_2=\langle-60,3\rangle+\langle4,14\rangle=\langle-60+4,3+14\rangle=\langle-56,17\rangle[/tex]

Determine the magnitude of the vector:

[tex]||v_1+v_2||=\sqrt{(-56)^2+(17)^2}=\sqrt{3136+289}=\sqrt{3425}\approx58.524[/tex]

Find the direction of the vector:

[tex]\displaystyle\theta=tan^{-1}\biggr(\frac{17}{-56} \biggr)\approx-17^\circ[/tex]

Because our vector is in Quadrant II, then the direction angle we found is a reference angle, telling us the true direction angle is 17° clockwise from the negative x-axis, so the true direction angle is [tex]180^\circ-17^\circ=163^\circ[/tex]

Thus, A is the correct answer

Problem 5

A vector in trigonometric form is represented as [tex]w=||w||(\cos\theta i+\sin\theta i)[/tex] where [tex]||w||[/tex] is the magnitude of vector [tex]w[/tex] and [tex]\theta[/tex] is the direction of vector [tex]w[/tex].

Magnitude: [tex]||w||=\sqrt{(-16)^2+(-63)^2}=\sqrt{256+3969}=\sqrt{4225}=65[/tex]

Direction: [tex]\displaystyle \theta=tan^{-1}\biggr(\frac{-63}{-16}\biggr)\approx75.75^\circ[/tex]

As our vector is in Quadrant III, our true direction angle will be 75.75° counterclockwise from the negative x-axis, so our true direction angle will be [tex]180^\circ+75.75^\circ=255.75^\circ[/tex].

This means that our vector in trigonometric form is [tex]w=65(\cos255.75^\circ i+\sin255.75^\circ j)[/tex]

Thus, C is the correct answer

Problem 6

Write the vectors in trigonometric form:

[tex]u=\langle40\cos30^\circ,40\sin30^\circ\rangle\\v=\langle50\cos140^\circ,50\sin140^\circ\rangle[/tex]

Add the vectors:

[tex]u+v=\langle40\cos30^\circ+50\cos140^\circ,40\sin30^\circ+50\sin140^\circ\rangle\approx\langle-3.661,52.139\rangle[/tex]

Find the magnitude of the resultant vector:

[tex]||u+v||=\sqrt{3.661^2+52.139^2}\approx52.268[/tex]

Find the direction of the resultant vector:

[tex]\displaystyle\theta=tan^{-1}\biggr(\frac{52.139}{-3.661} \biggr)\approx-86^\circ[/tex]

Because our resultant vector is in Quadrant II, then our true direction angle will be 86° clockwise from the negative x-axis. So, our true direction angle is [tex]180^\circ-86^\circ=94^\circ[/tex].

Thus, B is the correct answer

Nicole walked 10 blocks north from her house to her friend's house. After visiting, Nicole walked 10 blocks south back to her house. How far was Nicole from her starting place?
The Answer is D Nicole walked back to her house 10-10=0 So, the answer is D

Answers

Yes, I guess so.

Hope this helps!

Answer:

yea actually what if she turned?- but yea its 0 so D

Step-by-step explanation:

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