Mathematics High School

HELP!!
Select the correct answer.
Scientists studying biodiversity of amphibians in a rain forest have discovered that the number of species is decreasing by 2% per year. There are currently 74 species of amphibians in the rain forest. Which logarithmic function models the time, , in years, it will take the number of species to decrease to a value of n?

Answers

Answer 1

Answer:

Option A: f(x) = log_0.98 (n/74)

Step-by-step explanation:

We are told that that the number of species is decreasing by 2% per year.

Thus, number of species each year is 98% or 0.98 of number of species the previous year. .

We are told that there are currently 74 species of amphibians in the rain forest.

Thus, n/74 will represent a fraction of the current number of species.

Thus, the logarithmic function that models the time can be written as;

f(x) = log_0.98 (n/74)

Answer 2

Answer:

A. f(n) = log0.98(n/74)

(got it right on edmentum)

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Related Questions

Firefighters need to use a 60-foot ladder to save a child. She is 50 feet above street
level. To the nearest tenth of a foot, how far from the bottom of the building must the
ladder be placed in order to reach the child exactly?

Answers

Answer:

The ladder must be placed at a distance of 33.2 feet from the bottom of the building

Step-by-step explanation:

From what we have here, we are looking at a right angled triangle with the hypotenuse which is the length of the ladder

The height of the child is 50 feet from ground level

So we need to get the third side of the triangle

We can get this by considering the use of Pythagoras’ theorem

This will give us the length of the third side of the triangle

From Pythagoras’ the square of the hypotenuse is equal the sum of the squares of the two other sides

Let the unknown side be x

Thus;

60^2 = 50^2 + x^2

x^2 = 60^2 - 50^2

x^2 = (60-50)(60+50)

x^2 = (10)(110)

x^2 = 1100

x = square root of 1100

x = 33.166

To the nearest tenth, this is 33.2 feet

What is the answer to each problem? Please hurry :)

I will give Brainlest to whoever answers correctly, thank you.

Answers

Answer:

Step-by-step explanation:

Clue #6 is -5/4 (first option)

Clue #7 is 1/8 (second option)

Clue #8 is -7/6 (first option)

Clue #9 is -10/7 (last option)

Clue #10 is 10 (last option)

£100 will buy lunches for 80 school children for 5 days
work out the cost of buying lunch for one school child for one day

I will only mark brainest and rate a 5 star if you show working out pls and the correct answer and working out

Answers

80 children x 5 days = 400 total lunches.

£100 / 400 lunches = £0.25 per lunch

The cost for one lunch for one student is £0.25

If the equation y=2x-1 is translated down six units, the new equation would be...

Answers

Answer:

2x-6

Step-by-step explanation:

have a nice day!! :))

A bus is traveling at a constant speed. If the bus travels 15 1 2 15 1 2 miles in 1 3 1 3 of an hour, how many miles will the bus travel in one hour?

Answers

Answer:

46 1/2 miles

Step-by-step explanation:

Given that:

Bus traveled at a constant speed ;

Miles traveled = 15 1/2 miles

Time taken for the travel = 1/3 of an hour

Number of miles bus will travel in 1 hours :

Let number of miles traveled in 1 hour = n

15 1/2 miles = 1/3 hour

n miles = 1 hour

Cross multiply :

1/3 * n = 15 1/2 * 1

1/3n = 31/2

Divide both sides by 1/3

n = 31/2 ÷ 1/3

n = 31/2 * 3/ 1

n = 93/2

n = 46.5 miles = 46 1/2 miles

2y + 14x - 7x + 9y

Answers

Answer:

1, - 2

Step-by-step explanation:

Answer:

7x + 11y

Explanation:

1. Subtract 7x from 14x. 2y + 7x + 9y

2. Add 2y and 9y together. 11y + 7x

8/8, 34/34, 100/100 all equal

Answers

Answer:sndkzkz

Step-by-step explanation:

Emma

Answer:

yes

they all equal one

Step-by-step explanation:

ax+by=c What is the equivalent equation

Answers

Ax plus BY equals C.

If I parallel m, find the value of x and y

Answers

Answer:

x=24 y=9.8

Step-by-step explanation:

5y-23=3x

47+3x+2x+13=180

In Exercises 8-9, write a linear function f with the given values.
8. f(1)=3,f(3)=4
9. f(6)=9,f(-5)=0

Answers

Answer:

yo add me on intagram Its_yo-Boy_Jonathan65

Step-by-step explanation:

someone knows what number multiplied twice by the same can give me results 130!!!! Help plis plisss

Answers

Answer:

i will try to help you....

Answer:

65 i believe

Step-by-step explanation:

130/2

= 65

and

65 x 65 = 130

Is the solution to a two-variable inequality always a solution of the related function? Explain.

Answers

Answer:

not always

Step-by-step explanation:

above

$1500 at 4% for 5 years

show your work please.

Answers

Answer:

$12825

Step-by-step explanation:

If the amount is 1.500 and intrest rate 4.00% and we have 5 years to invenst then that gives us $12.825

The ratio of collectible cards Deshawn owns to cards that Stephanie owns is 5:2 Stephanie has 36 cards how will the ratio of Deshawn's cards to Stephanie's cards change if they both sell half there cards.

Answers

Given :

The ratio of collectable cards Deshawn owns to cards that Stephanie owns is 5:2.

Stephanie has 36 cards.

To Find :

How will the ratio of Deshawn's cards to Stephanie's cards change if they both sell half there cards.

Solution :

Number of card Deshawn had, n = 5/2 × 36

n = 90 .

Number of card after they sell half there cards :

[tex]n_D = \dfrac{90}{2}=45[/tex]

[tex]n_S=\dfrac{36}{2}=18[/tex]

Therefore, new ratio is [tex]\dfrac{45}{18}=5 : 2[/tex].

So, new ratio will be same.

1. x + 5 = 23 2. 2x + 1 = 13

3. 3x - 7 = 14

Answers

1. 18. Subtract 5 to both sides
2. 6. Subtract 1 to both sides, then divide both sides by 2.
3. 7. Add 7 to both sides, then divide both sides by 3.

*I'll mark your answer BRAINLY*

solve the system of equations 10x+12y=380
6x+8y=244

Answers

x=14 and y=20

(10x14)+(12x20)=380
140+240=380
(6x14)+(8x20)=244
84+160=244

HELLO, plz answer this. Ming won 121 lollipops playing basketball at her school's game night. Later, She gave 48 to each of her friends. She only has 9 remaining. How many friends does she have? Write an equation for this problem and solve it with steps.

Answers

Answer:

Ming has 2 friends

(121-9)÷48= 2.3

You can´t split apart people.

First subtract 9 from 121 then divide by 48 to find how man friends Ming has.

Help me please as soon as possible

Answers

90+31= 121
3x-1+121=120
3x+120=180
-120
3x=60
Divide by 3 on both sides
X=20

X=15

90+31+3x-1=180
121+3x-1=180
120+3x=180
3x=60
X=15

Name a line containing point V.

Answers

Answer:

Line A

Step-by-step explanation:

AAnswer:

Step-by-step explanation:

Find the measure of angles 1,2 and 3

Answers

Answer:

Step-by-step explanation:

where is the question

pls help I will give you brainliest just help please

Answers

Answer:

The answer is A & D.

Step-by-step explanation:

Hope this helps

Given: -2(5x-3/4)=-10x+3/2

-2(5x)+(-2)(-3/4)

=-10x+3/2

HELP! ONLY HAVE 4 MINS!!!!!!1

Answers

Answer:

the slope for a is [tex]\frac{12}{3}[/tex] but in simplest form 4

the slope for b is 0

Step-by-step explanation:

hope this helped :-)

identify the property of equality which yields step 4

Answers

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[tex]Division \: \: \: Property[/tex]

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The correct answer is (( A )) .

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help please this due very soon thank you!!!!

Answers

Answer:

Step-by-step explanation:

just look at where both boxes are placed

Answer:

Choice B

Step-by-step explanation:

It shows that in 5 mins they can package 125 boxes, and if there was 1000 mins they would package a x number of boxes.

Can somebody help plz

Answers

The slope is greater than 0 but the y intercept is less than 0.

You can see, the slope is going up, meaning greater than 0. And when x = 0, y seems to be negative so the y intercept is less than 0.

A factory can produce 18,000 toy cars in an 8 hour shift. At this rate, in how many shifts could the factory produce 90,000 toy cars? *

Answers

the factory can produce 90,000 toy cars in 5 shifts

Answer

In five shifts, the factory could produce 90,000 toy cars.

Step-by-step explanation:

Multiply 18,000 by 5 to get 90,000 cars.

A rental car cost 36 for one day plus additional 0.42 per mile. Simplify the expression 36 + 0.42( 78) to determine the cost of renting a car and driving it 78 miles

A. 68.76
B.70.08
C. 93.12
D. 2,808.42

Answers

Answer:

The Answer is A

Step-by-step explanation: What you do is multiply 0.42 by 78 since that is what it costs per mile which is 32.76.

And then you add 36 and you get 68.76

There are a total of 24 people at Camp Float-Away. If 4 of the people are counselors, what is the ratio of campers to counselors?

Answers

Answer:

5:1

Step-by-step explanation:

Since there are 4 counselors, the other 20 people are campers. You divide 20 by 4 (to determine how many campers equal 1 counselor) and you get 5. So 5:1

What is the answer and method to find the quotient of 5.25/1.5

Answers

Answer: 3.5

Use long division

The radius of Earth is 6,371.0 kilometers and the radius of Earth's Moon is 1,737.5 kilometers. What is the approximate difference in the circumferences, in kilometers, of Earth and Earth's Moon? Round your answer to the nearest tenth of a kilometer.

Answers

Answer:

Step-by-step explanation:

Circumference of a circle is expressed as;

C = 2πr

r is the radius

Given

radius of Earth r1 = 6,371.0 kilometers

the radius of Earth's Moon r2 = 1,737.5 kilometers

The difference in their circumference will be expressed as;

C = 2π(r1-r2)

C = 2π(6371.0-1737.5)

C = 2π(4633.5)

C = 2(3.14(4633.5))

C = 29,098.38km

C = 29,098.4

Hence the difference in their circumference to the nearest km is 29,098.4km

Answer:

We calculate for the circumferences of Earth and moon by using the equation,

C = 2πr

For Earth,

C = 2π(6371 km) = 40030.2 km

For Moon,

C = 2π(1737.5 km) = 10917.0 km

The difference between the two circumferences is 29113.2 km approximately.

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