After a shipwreck, 120 rats manage to swim from the wreckage to a deserted island. The rat population on the island grows exponentially, and after 15 months, there are 280 rats on the island.
A. Find a function that models the population t months after the arrival of the rats.
B. What will the population be 3 years after the shipwreck?
C. When will the population reach 2000 rats?

Answer:

2x3/2-5/2

=6/-3/2

=-1

6 divide by 2 is +3 and +3 divide by - 3 equals - 1

Answer:

A. g=11

Step-by-step explanation:

We want to find which choice makes the equation true. Let's plug in each answer choice.

A. g=11

26=7(11-9)+12      

26= 7(2)+12              Solve inside the parentheses.

26= 14+12                 Multiply 7 and 2.

26= 26                      Add 14 and 12.

This answer must be correct, but let's check the other choices .

B. g=12

26=7(12-9)+12      

26= 7(3)+12              Solve inside the parentheses.

26= 21+12                 Multiply 7 and 3.

26≠33                       Add 14 and 12.

This choice is not correct.

C. g= 13

26=7(13-9)+12      

26= 7(4)+12              Solve inside the parentheses.

26= 28+12                Multiply 7 and 4.

26≠40                      Add 28 and 12.

This is also not correct.

D. g= 14

26=7(14-9)+12      

26= 7(5)+12              Solve inside the parentheses.

26= 35+12                 Multiply 7 and 5.

26≠47                       Add 35 and 12.

This choice is not correct either.

The value of g that make the expression 26=7(g-9)+12 a true statement is A. g=11.

Answer:

First digit is 8, second digit is 4, and third digit is 2.

Step-by-step explanation:

Answer: a = [tex]\frac{u+2}{2}[/tex]

We want to isolate a. Add both sides by 2. Then we get u + 2 = 2a. To get just a, we can divide by 2 to get (u+2)/2.

Hope that helped,

-sirswagger21

Hey there! I'm happy to help!

We want to get a on one side of the equation all on its own.

Let's flip the equation around so a ends up on the left. Usually variables are supposed to be on the left.

2a-2=u

We add 2 to both sides.

2a=u+2

We divide both sides by 2.

a=(u+2)/2

We divide both u and 2 by 2 so our answer is completely simplified.

a=1/2u+1.

I hope that this helps! Have a wonderful day! :D

Answer:

0.350

Step-by-step explanation:

Confidence interval = point estimate ± margin of error

Point estimate = Confidence interval - margin of error

To get the margin of error, we will take the average of the difference of the interval given. Given the confidence interval 0.325<p<0.375

Margin of error = 0.375-0.325/2

Margin of error = 0.050/2

Margin of error = 0.025

Using the interval of 0.375

Point estimate = 0.375 - 0.025

Point estimate = 0.350

Answer:

False

Step-by-step explanation:

Right on Odyssey

It is never possible for the theoretical and experimental probabilities to be the same which is false.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

Theoretical and experimental probability can be the same in some circumstances.

For example, the theoretical and experimental chance of rolling a fair six-sided dice and receiving a 3 is 1/6. However, the theoretical and experimental probabilities will differ in many other cases due to factors such as sampling error or differences between the idealized model and the real-world situation.

Thus, the statement is false.

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ3

Answer:

hamburger =282 calories

soda=212 calories

Step-by-step explanation:

2h+5c=1624 ...............×3

3h+2c=1270 ................×2

use eliminate method: multiply the first equation by 3, and second one by 2 to eliminate h first:

6h+15c= 4872

6h+4c=2540

subtract the two equations

6h+15c-6h-4c=4872-2540

11c=2332

c=2332/11

c=212 calories in soda

substitute c in any equation to get h

2h+5c=1624

2h+5(212)=1624

2h=1624-1060

2h=564

h=564/2=282

h=282 calories

check :

2(282)+5(212)=

564+1060=1624

3h+2c=1270

3(282)+2(212)=1270

The value of a in the function's equation is 3

A function is an equation that has only one answer for y for every x. A function assigns exactly one output to each input of a specified type

A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits several superficially different mathematical descriptions,

equation of  parabola is :

[tex]y= a (x-h)^{2} + k[/tex]

where ,

h= horizontal coordinate of graph

k = vertical coordinate of graph

a =  the value of the coefficient

According to the question

horizontal coordinate of graph  = -2

vertical coordinate of graph = 2

[tex]y= a (x-h)^{2} + k[/tex]

[tex]y= a (x+2)^{2} + 2[/tex]

now we will take one point from  x and y value from the graph  to take out value of  coefficient a  

from graph (x,y) = (-1,5)

[tex]5= a (-1+2)^{2} + 2[/tex]

[tex]\\3= a (-1+2)^{2}[/tex]

[tex]\\3= a (1)^{2}[/tex]

[tex]a = 3[/tex]

Hence, the value of a in the function's equation is 3

To know more about equation function and parabola here :

https://brainly.com/question/26227783

# SPJ2

Answer:

Step-by-step explanation:

Given a triangle has points:

(-5,1),(2,1), (2,-1)

Let us label the points:

A(2,1),

B(-5,1) and  

C(2,-1)

To find:

Distance between (−5, 1) and (2, −1) i.e. BC.

Horizontal leg AB and

Vertical leg, AC.

Solution:

Please refer to the attached diagram for the labeling of the points on xy coordinate plane.

We can simply use Distance formula here, to find the distance between two coordinates.

Distance formula :

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

For BC:

[tex]x_2 = 2\\x_1 = -5\\y_2 = -1\\y_1 = 1[/tex]

[tex]BC = \sqrt{(2--5)^2+(-1-1)^2} = \sqrt{63}[/tex]

Horizontal leg, AC:

[tex]x_2 = -5\\x_1 = 2\\y_2 = 1\\y_1 = 1[/tex]

[tex]AC = \sqrt{(2-(-5))^2+(1-1)^2} = 7[/tex]

Vertical Leg,  AB:

[tex]x_2 = 2\\x_1 = 2\\y_2 = -1\\y_1 = 1[/tex]

[tex]AB = \sqrt{(2-2)^2+(-1-1)^2} = 2[/tex]

Answer:

The answer are 7, 2 and 53

Step-by-step explanation:

Answer:

Graph B

Step-by-step explanation:

In a negative linear association between x and y, we are looking for a graph that:

A. Doesn't curve - is completely straight

B. Decreases in y as x increases (because slope is rise over run)

We know that graphs C and D are eliminated because they aren't linear.

We can also tell that graph A is eliminated because it shows a positive association.

So Graph B is all that's left.

Hope this helped!

Answer:

Graph B

Step-by-step explanation:

A negative linear equation has a straight line that goes down, making B the answer.

Answer:

3 would be 3 million

Step-by-step explanation:

Answer:

24/26

Step-by-step explanation:

8/13 divided by 2/3 is the same as:

8/13 times 3/2

8X3= 24

13X2= 26

answer = 24/26

Answer:

12 / 13

Step-by-step explanation:

8 / 13  ÷  2 / 3 ------ just flip 2/3  to --->> 3/2 then multiply

8 / 13  x 3 / 2 = (8 * 3) / (13 * 2)

= 24 / 26

therefore,

= 12 / 13 is the answer

Answer:

Regular Polygons

Sides - Name - Interior Angles

13 - Triskaidecagon - 152.31°

14 - Tetrakaidecagon. - 154.29°

15 - Pendedecagon. - 156.00°

16 - Hexdecagon - 157.50°

I added some more incase u need it....

Hope it helped u if yes mark me BRAINLIEST I!

Tysm!

:)

The two number with the largest product would be the two numbers closest together.

Divide 23 in half:

23/2 = 11.5

Use the whole numbers on each side of 11.5, so you have 11 + 12 = 23

Multiply: 11x 12 = 132

Answer:

The algebraic equation describing the above

X+y= x-30

Step-by-step explanation:

The initial temperature of the environment= x degrees

Temperature of the front= y degrees

the environment dropped 30 degrees, means loosed 30 degrees.

The final temperature f the environment= x-30

The algebraic equation describing the above

X+y= x-30

Answer: t = 4.87s

Step-by-step explanation: The vertical position y is given by

[tex]y = -16t^{2}+380[/tex]

If y at the base of the cliff equals 0, then equation is

[tex]-16t^{2}+380=0[/tex]

[tex]-16t^{2}=-380[/tex]

[tex]t^{2}=\frac{-380}{-16}[/tex]

[tex]t=\sqrt{\frac{380}{16}}[/tex]

[tex]t=\sqrt{23.75}[/tex]

t = 4.87

Since it is time we want, the negative value of the square root can be ignored. So, at the base of the cliff, the rock will hit the ground after 4.87 seconds.

Answer:

10.9361

Step-by-step explanation:

The lower control limit for xbar chart is

xdoublebar-A2(Rbar)

We are given that A2=0.308.

xdoublebar=sumxbar/k

Rbar=sumR/k

xbar      R

5.8        0.42

6.1         0.38

16.02    0.08

15.95    0.15

16.12     0.42

6.18      0.23

5.87     0.36

16.2      0.4

Xdoublebar=(5.8+6.1+16.02+15.95+16.12+6.18+5.87+16.2)/8

Xdoublebar=88.24/8

Xdoublebar=11.03

Rbar=(0.42+0.38+0.08+0.15+0.42+0.23+0.36+0.4)/8

Rbar=2.44/8

Rbar=0.305

The lower control limit for the x-bar chart is

LCL=xdoublebar-A2(Rbar)

LCL=11.03-0.308*0.305

LCL=11.03-0.0939

LCL=10.9361

-12 is the answer

Step-by-step explanation:

[tex] \frac{3x}{4} = - 9[/tex]

Firstly we have to take 4 to the R.H.S and multiply -9 with 4

[tex]3x = - 9 \times 4 [/tex]

[tex]3x = - 36[/tex]

Now, take 3 to R.H.S and divide 3 by -36

[tex]x = \frac{ - 36}{ \: \: 3} [/tex]

so after solving this we get our answer,

[tex]x = - 12[/tex]

Hope it helps u

Answer:

(-3 ÷ 4)x^2 + 6x

Step-by-step explanation:

Data provided in the question

Maximum height = 12m

Number of seconds = 8

Height = 3m

Based on the above information, the quadratic equation is as follows

Since it took 8 seconds for reaching the maximum height and then it returned to the ground level so here the highest point is done after 4 seconds also this graph represents the motion in parabola so the a should be negative

Now it is mentioned that

a × x ^ 2 + bx + c =0

We can assume that

x = 0

x = 8

As these {0.8} are intercepts of x

When x = 0, then it would be

a × 0 ^ 2 + b(0)  + c = 0 .................... (i)

Therefore 0 = 0

Now x = 8, it would be

a × 8 ^ 2 + b(8)  + c = 0

Therefore a(8)^2 + b(8) + c =  0 ..................(ii)

As we can see  that in the first equation c should be zero

While the second equation would be

64a + 8b = 0

i.e.

8a = -b or a = -b ÷ 8

Now as per the quadratic function, it appears

(-b ÷8)x^2 + bx + 0

Now the parabola vertex is (4, 12)

Now put this in the place of a

(-b ÷ 8)(4)^2 + b(4) = 12

Now for solving this b, all terms should be multiplied by 8

That comes

-b(16) + 32b = 96

16b = 96

So, b = 6.  

As a = -b ÷8

a = -6 ÷ 8

a = -3 ÷4

Now the equation is

= (-3 ÷ 4)x^2 + 6x

Hence, this is the equation

Answer:

i think the answer is 0.3071

Step-by-step explanation:

But I might be wrong

Answer:

56 degrees

Step-by-step explanation:

They are supplementary, so they add to 180. 180 - 124 = 56.

Answer:

56 degrees

Step-by-step explanation:

They are supplementary, so they add to 180. 180 - 124 = 56.

Answer:

y = x₂ - 1.5 × x₁.

Step-by-step explanation:

Regression model is a technique of analysis in which a variable known as dependent variables and another variables known as the independent variables are analyzed to determine their relationship.

So, from the question given above we have that; "Suppose that participants who adhere to a particular weight loss program lose an average of 1.5 lbs per week".

Also, we are given that time = x1 (in weeks) and weight = x2 (in pounds). Therefore the regression equation is given as below;

y = x₂ - 1.5 × x₁.

Answer:

To score good marks because 1 marks can give us good life in future

Answer:

24

Step-by-step explanation:

There are two triangles PQR, each with area base*half heigth = 6*2 = 12, and two times 12 is 24.

Answer:

12 cm ^2 of a single triangle

Step-by-step explanation:

area of triangle= 1/2 (l×b)

= 1/2 (4cm × 6cm)

= 1/2 (24cm^2)

= 24/2 cm^2

= 12 cm^2

and the area of both these triangle will be 24cm^2

Answer:

$1518.31

Step-by-step explanation:

Books sold = 1307

Earning from 1307 copies = $1408.4

Earning from one copy:

Earning from 1409 copies expected:

Answer:

-46 is your answer.

Step-by-step explanation:

=4-2(3+2)^2

=4-2(5)^2

=4-2(5✖️5)

=4-2(25)

Opening brackets to simplify

=4-50

=-46 is your answer.

Hope it will help you :)

Answer:

-46

Step-by-step explanation:

[tex]4 - 2(3 + 2)^{2} \\ [/tex]

PEDMAS

[tex]4 - 2(5)^{2} \\ 4 - 2(25) \\ 4 - 50 \\ = - 46[/tex]

Answer: 330 people

Step-by-step explanation:

added them all up

That means our price markup is $67.00-$50.00=$17.00

The markup price  is 34%.

It is given that cost price of the products is $ 50 and selling price of the product is  $ 67.

To find the markup price.

The profit and loss statement is a financial statement that summarizes the revenues, costs, and expenses incurred during a specified period.

Thus, the markup in the price = [tex]\frac{S.P-C.P}{C.P} *100[/tex]

=[tex]\frac{67-50}{50} *100[/tex]

= 34[tex]%[/tex]%

So, the markup price  is 34%.

Learn more about Profit and loss here:

https://brainly.com/question/17252870

#SPJ5

Answer:

0

Step-by-step explanation:

To find the slope of two points, here is the formula (y2-y1)/(x2-x1)

So we have (1,2) and (4,2),

We let y2 = 2 and y1 = 2 and we let x2 = 4 and x1 = 1

So, (2-2)/(4-1) = 0/3

Our slope is 0.