A fish population, p, can be represented by the equation p = 800 . 1/2 where t is time in years since the beginning of 2015. What was the fish population at the beginning of 2012? A. 100 B. 800 C. 2,400 D. 6,400

Answers

Answer 1

Answer:

D. 6,400

Step-by-step explanation:

I got it right

Answer 2

The fish population at the beginning of 2012 is 100.

Given

A fish population, p, can be represented by the equation;

[tex]\rm P =800 \left (\dfrac{1}{2} \right)^t[/tex]

Where t is time in years since the beginning of 2015.

How to determine the population at the beginning of 2012?

The expression represents the number of population in the year 2015 so first take the difference between the year 2015 and 2012 which is 3 then substitute the 3 in the given equation and solve.

The difference between year 2015 and 2012 is;

t = 2015 - 2012 = 3

Substitute the value of t in the equation

[tex]\rm P =800 \left (\dfrac{1}{2} \right)^t\\\\\rm P =800 \left (\dfrac{1}{2} \right)^3\\\\P = 800 \times \dfrac{1}{8}\\\\P = 100[/tex]

Hence, the fish population at the beginning of 2012 is 100.

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Related Questions


Convert to Standard Form
13-6x-=y

Answers

Answer:

6x+y=13

Step-by-step explanation:

A dog kennel charges $20 per night to board your dog. You can also have a dog treat delivered to your dog for $5. The equation 20x+5y=100 models the situation of possible combinations of nights at the kennel (x) and dog treats (y) that you can buy for $100.

Describe what the intercepts mean in context of the story.

Answers

Answer:

wow they are so tricky about what the math means.. huh  :D  why ask abstract math questions when it's supposed to be real  hmmmm welll anyway

Step-by-step explanation:

so the y intercept  or 0=y means you get your dog no treats... maybe you hate your dog... or he was bad in some way... no treats for you dog !! >:/

The X=0  intercept mean you love your dog and don't take him to the dog kennel but keep him at home.  And take care of him yourself.. but  you could still get him treats  :)  Probably for less then 5 dollars too.. I saw some at Costco for a lot less..  :)

What is the slope of a line that is parallel to the line y=2/3x+5

Answers

Answer: 2/3

Step-by-step explanation: The slopes of parallel lines are equal/the same but they have different y intercepts

Which part of the figure shows evidence of the use of a compass?

Answers

Answer:

Whichever line is curved like a semi-circle, arch, or a full circle.

Step-by-step explanation:

A compass is a tool used to draw curved lines.

Roses are sold for 1.50 each or 4 for $6.00 on a graph of roses vs the total price of the roses what would be the slope

Answers

Answer:

no

Step-by-step explanation:

unu

Step-by-step explanation:

do you have the answer now I need it please

would you rather drive a car at the rate of 40 kilometers per hour or drive a car at a rate of 15 meters per second, and why? which one is correct

Answers

Answer: 15 meters per second

Step-by-step explanation: Kilometers are 1,000 times larger than meters

A man drove 13 mi directly east from his home, made a left turn at an intersection, and then traveled 5 mi north to his place of work. If a road was made directly from his home to his place of work, what would its distance be to the nearest tenth of a mile?

Answers

Answer:

13.93 miles

Step-by-step explanation:

From the given information:

we are being told that a drove 13 miles towards east from home.

and make a left turn due north, thus travel 5 miles.

The objective is to find the man's distance from his starting point(i.e. his home) to his place of work.

Let the horizontal base distance be x = adjacent side = 13 miles

Let the vertical distance be y = opposite side = 5 miles

Let the slant distance be z = hypotenuse side =  ??? (unknown)

Therefore, using the pythagoras theorem.

(hypotenuse)² = (opposite)² + (adjacent)²

z² = y² + x²

z² = 5² + 13²

z² = 25 + 169

z² = 194

[tex]z = \sqrt{194}[/tex]

z = 13.93 miles

Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries. He plans to achieve this goal by visiting 5 new countries per year (y) for the next several years. Which inequality and solution shows the amount of years that it will take for Abraham to meet his goal?

Answers

Given :

Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries.

He plans to achieve this goal by visiting 5 new countries per year (y) for the next several years.

To Find :

Which inequality and solution shows the amount of years that it will take for Abraham to meet his goal.

Solution :

Let, after x years Abraham visited y countries.

It is mathematically given as :

[tex]10 + 5x=y[/tex]

Now, it is given that his goal is minimum of 50 countries.

So,

[tex]10+5x \ge 50\\\\5x\ge 40\\\\x \ge 8[/tex]

Therefore, minimum years required to meet his goals are 8.

Hence, this is the required solution.

Answer:

Im pretty sure the answer is C

Step-by-step explanation:

Good Luck!!!

PLEASE HURRYYYY

find three points that solve the equation x- 4y=-18

Answers

Answer:

one of the three plots is (-2,4)

Step-by-step explanation:

A. 43 x + 98 = 11
B. 43x + 11 = 98
C. 11x+ 98 = 43
D. 11x+ 43 = 98

Answers

The answer is D. 11x+43=98

Please I need some help

Answers

Answer:

A

Step-by-step explanation:

Hope this helps

can you go to my profile and help me with my recent one. plzssss

Answer: A

Step-by-step explanation:

You are doing chores to earn your allowance. For each chore you do, you earn $3. In the equation below, C is the
number of chores you do, and d is the number of dollars you earn.
The relationship between these two variables can be expressed by the following equation:
d=3c
Identify the dependent and independent variables.
Dependent variable
Independent variable
The number of chores you do
The number of dollars you earn

Answers

The independent variable is d because it is alone or independent. The dependent variable is c because it stands with the number three.

Answer:

Independent- c (number of chores)

Dependent- d (number of dollars)

Step-by-step explanation:

Find the 18th term of this arithmetic sequence:
12, 26, 40, 54,...

Answers

Answer:

djzkbhjejbebdhhfhhffhfhfhhfhfffhhfhfjfjfjf#/!cupcupcupcupFairmont

answer would be 252 i’m pretty sure

-0.8 x +40 - 8x -35 i need help ASAP

Answers

Answer:

-8.8x + 5

Step-by-step explanation:

See the attached picture.

Hope this helps!!!

The value of x is 0.57 in the given expression -0.8 x +40 - 8x -35

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is -0.8 x +40 - 8x -35

Minus zero point eight times of x plus forty minus eight times of x minus thirty five

-0.8 x +40 - 8x -35

Add the like terms

-0.8x-8x+40-35

-8.8x+5

Isolate the variable x

-8.8x=-5

Divide both sides by 8.8

x=5/8.8

x=0.57

Hence, the value of x is 0.57 in the given expression -0.8 x +40 - 8x -35

To learn more on Expressions click:

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Find three consecutive even integers such that their sum decreased by 34 is equal to the first integer. Find the first integer.

Answers

Answer:

The first number: 14

The second number: 16

The third number: 18

Step-by-step explanation:

Equations

Let's assume:

x=the first even number.

x+2=the second even number

x+4=the third even number

The sum of all three is: x + x + 2 + x + 4

The condition states the sum decreased by 34 equals the first number:

x + x + 2 + x + 4 - 34 = x

Moving all the variables to the left side and the numbers to the right side:

x + x + 2 + x + 4 - 34 - x = 34 - 2 - 4

Simplifying:

2x =  28

Solving:

x = 28 / 2 = 14

The first number: 14

The second number: 16

The third number: 18

⚠️HURRY⚠️
write an equation that matches this graph in Slope-Intercept Form

Answers

Answer:

y = -1/4x+2

Step-by-step explanation:

Answer:

y = -1/4x + 2

Step-by-step explanation:

We can tell that the line passes trough the point (0, 2), so the y-intercept is 2.

Let's calculate the slope by using rise over run. We see for every one unit down, it goes 4 units to the right. It also goes downward, so the slope is negative. So the slope is -1/4. Put it together...

y = -1/4x + 2

Hope this helps!

When a question asks you to "Explain", what are you expected to do
AND

Answers

Answer:

they want to tell you why the answer is what it is

Step-by-step explanation:

Answer:

They are asking you "how" you managed to get your answer

Step-by-step explanation:

say the question is 5×5=25 and the question say Explain;"well if you add 5+5+5+5+5 is equals 25"

What is the value of 120?

Answers

It would be -1/2 I think
the answer is -1/2. have a good day!

even number less than 12​

Answers

Answer:

2,4,6,8,10

Step-by-step explanation:

they are even numbers

Answer: 2, 4, 6, 8, 10

Step-by-step explanation:

any of those are even numbers that are less than 12

A puppy weighs 3 pounds what is the puppy's weight in ounces

Answers

Answer:

48 onces

Step-by-step explanation:

Answer:

48 ounces.

Step-by-step explanation:

What is the scale factor from figure B to A?

Answers

2.5

Explanation:25/10, 10/4, 21.5/8.6=2.5

Hope it helps

would u expect the product of 43.5 and 1.0001 to be greater than or less that 1 or equal to 43.5

Answers

Answer:

Greater

Step-by-step explanation:

since it has a 0.0001 and not just 1 its greater 43.5

in a class of 36,19 read bioogy,16 read chemistry and 5 were not allowed to read both subjects​

Answers

Answer:

not hjyftyi uit yfiu hyr k

Step-by-step explanation:

sorry just i need some points

its urgent

plz help me i need it​

Answers

I can't see the choices real well, but I think it's b, 35%.

Answer:

B 35% is the answer

Find the missing terms in the sequence:
18, -72, 288,

Answers

Answer:

-1,152

Step-by-step explanation:

18 · (-4) = -72

-72 · (-4) = 288

288 · (-4) = -1,152

2-83. Build, simplify, and solve each equation. Record your work. Drag the tiles below into the equation mat.
a. -x+ 2 = 4​

Answers

Answer:

you need to add 2 to the x and convert it to negative   X=-2

Step-by-step explanation:

What is the slope of a line parallel to the line whose equation is 6x-y=1. Fully reduce your answer.

Answers

Answer:

0, -1

1, 5

(Hope it helped)

Answer:

I believe the slope is 6  

Step-by-step explanation:

6x - y = 1

- y = - 6x + 1

-1 ( - y = - 6x + 1)

y = 6x + 1

6 = slope

Plz help. And plz show work.

Answers

SU= 10
x-7+6=2x-12
x-1=2x-12
x+11=2x
11=x
2(11)-12=10

Find the minimum value of
C=x+3y

Answers

Answer:

DNE

Step-by-step explanation:

If x and y may be any real number, there is no minimum value for C. It can approach negative infinity.

If C is a constant, and the domain of x is all real numbers, there is no minimum for y. It can approach negative infinity.

We're not sure what you want or what restrictions may exist. The given relation does not suggest any minimum. We'd have to say it Does Not Exist

Hello there,

Use the first constraint to isolate y :

[tex]9x+2y\geq 35[/tex]

[tex]y \geq \frac{35-9x}{2}[/tex]

Now use the second one to isolate x :

[tex]x+3y\geq 14[/tex]

[tex]x\geq 14-3y[/tex]

You know that [tex]x\geq 0[/tex] and [tex]y\geq 0[/tex]

So what's the minimum value of x it's 0 ! Same for y !

So substitute x by 0 and y by 0

[tex]y\geq \frac{35}{2} =17.5[/tex]

[tex]x\geq 14[/tex]

So the minimum value of C is :

[tex]C=14+3*17.5[/tex]

[tex]\boxed{C=66.5}[/tex]

Hope it helps !

Photon

In JL, K is the midpoint. The coordinates of J are (2, 2), and the
coordinates of Kare (10, 11). What are the coordinates of L?

Answers

(6,6.5) u can do the math simply
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