Two researchers are studying the decline of orangutan populations. In one study, a population of 784 orangutans is expected to decrease at a rate of 25 orangutans per year. In a second study, the population of a group of 817 orangutans is expected to decrease at a rate of 36 per year. After how many years will the two populations be the same?

The two populations will be the same after
years.

Answers

Answer 1

Answer:

3 years

Step-by-step explanation:

Let y = number of orangutans, and let x = number of years.

For each study, the population, y, after x years is:

First study:

y = 784 - 25x

Second study:

y = 817 - 36x

We set the populations equal and solve for x, the number of years.

784 - 25x = 817 - 36x

Add 36x to both sides. Subtract 784 from both sides.

11x = 33

Divide both sides by 11.

x = 3

Answer: 3 years


Related Questions

Corinne is planning a beach vacation in July and is analyzing the daily high temperatures for her potential destination.She would like to choose a destination with a high median temperature and a small interquartile range.She constructed box plots shown in the diagram below.
Which destination has a median temperature above 80 degrees and the smallest interquartile range?
(1)Ocean Beach (2)Whispering Palms (3)Serene Shores (4)Pelican Beach​

Answers

Answer:

4

Step-by-step explanation:

Pelican Beach has a median temperature above 80 degrees and the smallest interquartile range.

What is a box plot?

'A boxplot is a standardized way of displaying the distribution of data based on a five number summary, minimum, first quartile, median, third quartile, and maximum. It can tell us about the outliers and what their values are.'

According to the given problem,

In the given box plots, Whispering Palms and Pelican Beach has a median temperature of above 80 degrees. The median is the middle-most line that divides the box plot into two parts. Their median is approximately 85 degrees.

The interquartile range is the difference between the end points of the box plot.

Pelican Beach has the smallest interquartile range since the difference between the end points is less than the interquartile range of Whispering Palms.

Hence, we can conclude, Pelican Beach ahs the median temperature above 80 degrees and the smallest interquartile range.

Learn more about box plot here: https://brainly.com/question/1523909

#SPJ2

State whether height is a function of weight for the six students and explain.
a.
Yes, height is a function of weight because two students weigh 165 pounds but have different heights.
b.
No, height is not a function of weight because two students weigh 165 pounds but have different heights.
c.
Yes, height is a function of weight because for each weight there is a corresponding height.
d.
No, height is not a function of weight because there is not enough data to determine a function.

Answers

This answer would be B. Hope this helps !! If so mark me brainlest thank youu !!

Answer:

Correct answer is B) No, height is not a function of weight because 2 students weigh 165 pounds but have different heights.

helppppp please ? lol i’m trying to pass summer school

Answers

Answer:

B

Step-by-step explanation:

To find the inverse of a function just replace the x and y value

so for f(x) instead of y=√(x-2) it x=√(y-2)  --- take this and now solve for y

x=√(y-2)

x²=y-2

x²+2=y

This matches h(x)

Answer: It really is B but I’m confused on your new question I’ll try :(

Step-by-step explanation:

If 52 cups of water were used in a Merry Berry Fruit Punch, how many cups of concentrate would also be used?​

Answers

May I ask what the ratio is? *Comment it below this post and i'll help you!* <3

Asphere has a diameter of 20 ft What is its surface area?
The surface area of the sphere is?

Answers

Answer:

1256 ft²

Step-by-step explanation:

20 ÷ 2 = 10

4πr²

4 × 3.14 × 10²

4 × 3.14 × 100

4 × 314

1256

Kelsey is collecting milk from dairy farms that will be taken and made into cheese.
The distance from one farm to the next is 6 miles. What is the distance between
the two dairy farms on a map with a scale of 1 inch = 2 miles?

Answers

Answer:

22miles

Step-by-step explanation:

Answer:  3 inches

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

Explanation:

The problem states that 1 inch on paper corresponds to 2 miles in real life, hence the 1 inch = 2 miles.

Multiply both sides by 3 so we turn that "2 miles" into "6 miles"

1 inch = 2 miles

3*(1 inch) = 3*(2 miles)

3 inches = 6 miles

-------------

We could also solve like this

(1 inch)/(2 miles) = (x inches)/(6 miles)

1/2 = x/6

1*6 = 2*x ... cross multiply

6 = 2x

2x = 6

x = 6/2

x = 3

3 inches on paper correspond to 6 miles in real life.

A 30 ft wire stretches from the top of a light pole diagonally to the ground. The light pole is 10 feet high. What is the angle the wire makes with the ground?

Answers

Answer:

The correct answere would be 19 degrees after solving for the length of the wire plus the diagnal of the ground.

Step-by-step explanation:

Type the number in standard form
5.8 x 10^-2

Answers

Answer:

0.058

Step-by-step explanation:

Math help please.m show work

Answers

Answer:

first box= 8

box to the right= 1

box on the right edge= 6

box in second row= 3

box in the middle to the very right= 7

bottom box= 9

I think

Answer:

Step-by-step explanation:

Start off on the bottom row and everything else just falls into place

not really much work to show

identify the domain of the function shown in the graph

Answers

Your answer is going to be c

¿Cuanto es el 15% de 9,000?

Answers

Answer:

10% = 900

5% = 450

15% = 1,350

Please brainliest

Assuming exponential function has a starting value of 360 and a decay rate of 73% write an equation to model the situation

Answers

Answer:

a = 360 * 0.27^n

Step-by-step explanation:

a = 360 * (1  - .073)^n

a = 360 * 0.27^n

Yuron is sketching a scale drawing of a famous painting. The painting is 54 inches wide and 72 inches long. He used a scale factor of Two-thirds to make his sketch. How many inches wide is Yuron’s sketch?
36
48
81
84

Answers

Answer:

36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

edg 2023

y^​2-​81



answer this please asap

Answers

Answer:

(y+9)(y-9)

Step-by-step explanation:

From the information in the diagram can you prove FTG is congruent to FGE

Answers

Answer:

Yes, by AAA.

Step-by-step explanation:

The triangles share 3 pairs of congruent angles. Therefore, these triangles can be proven to be congruent by AAA congruence theorem.

Answer:

yes by ASA

Step-by-step explanation:

angle gdf equals angle edf

side DF is common to both

angle gfd equals angle efd

hence by ASA (short for angle side angle)

syd is on a cliff 43 feet above sea level ingrid dove into the sea and took photos of fish at 17 feet below sea level how far apart are syd and ingrid?

Answers

Answer:

60 ft

Step-by-step explanation:

Position of Syd =  +43

Position of Ingrid = - 17

To find the distance between them, add the absolute value

I +43 I + I-17I = 43 + 17 = 60

Answer:

let's take the postion of sea level 0

such that

syds on a cliff 43 ft above sea level

his position = 43 ft

Ingrid is 17 feet below sea level so his position = 17 ft in the opposite direction as that of Syd.

since syd is 43 feet away from sea level, that is 0, and sea level is 17 feet away from Ingrid.

distance between syd and Ingrid = 43 + 17

= 60 ft

Pearl bought 45 lbs of clay for her art projects. She used 15.8 lbs to make a sculpture, and 0.72 lbs for each mug. How many mugs did Pearl make if she had 17.68 lbs of clay left over?

Answers

Answer:

16 mugs

Step-by-step explanation:

Total clay bought = 45 lbs

Clay used for sculpture = 15.8 lbs

Clay left over = 17.68 lbs

Clay used for each mug = 0.72 lbs

Number of mug = x

Total clay bought = Clay used for sculpture + Clay left over + (Clay used for each mug * Number of mug)

45 = 15.8 + 17.68 + (0.72 * x)

45 = 33.48 + 0.72x

45 - 33.48 = 0.72x

11.52 = 0.72x

x = 11.52/0.72

x = 16

Number of mug = x = 16 mugs

What is the equation of the line

Answers

Answer:

y = -7

Step-by-step explanation:

The line represents the y-coordinate, because it is a straight line over the x axis, indicating it cant be an x coordinate

Because it is 7 units below the x-axis, it is -7

y = -7

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Find the slope from the two points given: (-4, 2) and (5, 6) *

Answers

Answer:

Slope = 4/9

Step-by-step explanation:

x1(-4,2)

x2(5,6)

Slope,

m = (y2-y1)/(x2-x1)

= (6-2)/(5--4)

=4/9

suppose a line has slope -2/3 and passes through the point (1, 8). which other point must also be on the graph
A (7, 4)
B (7, 12)
C (-5, 4)
D(-5, -12)

Answers

Answer:

A(7,4)

Step-by-step explanation:

-2/3 is the slope and the slope is the rise over the run, and we know it passes through the point (1,8).

Next, we can create a chart/table

X int-1+3=4, 4+3=7

Y int-8-2=6,6-2=4

1st point: (4,6)

2nd point: (7,4)

Hope I helped, have a nice day :)

Consider the given triangle. If a = 83 and b = 70, then the measure of ZB =​

Answers

Answer:

If ZB is the 3rd angle, since a triangle has 180 degrees total just do 83+70+x=180 sooooo x=27

Step-by-step explanation:

X
CO
f(x)
-10
-8
-6
Which is an x-intercept of the continuous function i
the table?
-2
-1
0
1
2.
3
(0, -6)
O (30)
-4
-2
0

(-6, 0)
(0,3)

Answers

Answer:

10

Step-by-step explanation:

X

CO

f(x)

-10

-8

-6l;

Which is an x-intercept of the continuous function rs are swamped. Wait for your answer to fully load.

the table?

-2

-1

0

1

2.

3

(0, -6)

O (30)

-4

-2

0

(-6, 0)

(0,3)

h (p) = p2 – 3p, find h (2)

Answers

Answer:

-2

Step-by-step explanation:

see Image below:)

need help on trigonometry again​

Answers

Answer:

[tex]\fbox{3\sqrt{2}}[/tex][tex]3\sqrt2[/tex]

Step-by-step explanation:

Step 1:

Let us figure out the measurements of all the angles first. We are given one angle of 45º, and another of 90º. The angles of a triangle must add up to 180º, hence we can use basic addition and subtraction to find the last angle.

[tex]\angle=180-90-45\\\angle=45[/tex]

Great our angle is 45º! Notice something...?

Step 2:

We now have two 45º angles in our triangle. This means we have an isosceles triangle.

According to BATh (base angle theorem), in an isosceles triangle, the angles opposite the congruent sides are congruent. Thus, y is congruent to the given side of [tex]3\sqrt2[/tex].

y=[tex]\fbox{3\sqrt{2}}[/tex][tex]3\sqrt2[/tex]

I hope this helps! Let me know if you have any questions :)

How many real number solutions does the equation y=2x^2−8x+8 have?

Answers

Answer:

1 real solution

Step-by-step explanation:

y=2x^2−8x+8

We can use the discriminant to determine the number of real solutions

b^2 -4ac

a =2  b = -8  c=8

(-8)^2 - 4(2)(8)

64 - 64

0

Since the discriminant is 0 there is 1 real solution

>0 there are 2 real solutions

< 0 two complex solutions

What is the area of the shaded portion of the circle?

Answers

9514 1404 393

Answer:

  (a)  (5π -11.6) ft²

Step-by-step explanation:

The shaded area is the area of 1/5 of the circle less the area of the triangle with base 5.8 ft and height 4 ft.

  shaded area = 1/5(π(5 ft)²) -(1/2)(5.8 ft)(4 ft)

  shaded area = (5π -11.6) ft²

I don't understand math...i probably never will

Answers

Answer:

1/2             9/8

17/12          23/30

81/70         2/3

Step-by-step explanation:

I ordered it the way it appears in the image.

The range of the function is to because 4x is always positive

Answers

The range of the function is ZERO to POSITIVE INFINITY because 4^x is always positive.

Step-by-step explanation:

The range of the function is 0 to positive infinity because [tex]4^x[/tex] is always positive.

What is the range of a function

The range of a function is the set of output values of the function

The expression of the function is given as:

[tex]4^x[/tex]

Rewrite as:

[tex]f(x) = 4^x[/tex]

The value of the above function is always greater than 0, because it is an exponential function

Hence, the true statement is:

The range of the function is 0 to positive infinity because [tex]4^x[/tex] is always positive.

Read more about range at:

https://brainly.com/question/10197594

HEY BESTIES help me please and thank you 6th grade math


and yall BOZOS better not put no links in here YOU SILLY BOZO MMMM


anywho have a blessed day!

Answers

Answer:

Thanks you to

Step-by-step explanation:

Answer:

kilometers

Step-by-step explanation:

Millimeter - too small

Centimeters - too small

Metres - good for width

Kilometres - good for length

need some help with this question

Answers

Answer:

Step-by-step explanation:

x=29*2=58

58+7=65

58+7+65=130

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