A 40 of foxes in a wildlife preserve quadruples in size every 13 years. The function y=40•4^4, where x is the number of 13-year period, models the population growth. How many foxes will there be after 26 years

Answers

Answer 1

Answer:

640 foxes

Step-by-step explanation:

The actual formula is [tex]y = 40 * 4^{x}[/tex]

Now that we have the real formula we would need to find out how many 13 year periods exist in the 26 years that are being used in the question. We calculate this by simply dividing 26 by 13.

26 / 13 = 2 periods

Therefore, now that we know there are 2 periods of 13 years in the 26-year span, we plug this value into the formula and solve for y...

[tex]y = 40 * 4^{x}[/tex]

[tex]y = 40 * 4^{2}[/tex]

[tex]y = 40 * 16[/tex]

[tex]y = 640[/tex]

Finally, we can see that there should be 640 foxes after 26 years.


Related Questions

What is the LCM of 54 and 32 pls help

Answers

Answer:

the LCM is 864

Step-by-step explanation:

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

Plz help me answer this!!!

Answers

Answer: 88 years

Step-by-step explanation:

an experiment is performed by spinning the spinner 25 times and recording the data in the table below. what is the experimental probability of the spinner not landing in region

Answers

The answer would be 15 and yeah that's it XD

part of Ariana's earnings are based on a 5% commission rate at the end Of the day Ariana earns $14.98 in commissions how much did Ariana sell that day

HELP ASAP​

Answers

Answer:

$0.75

Step-by-step explanation:

To find the answer multiply the amount of money earned by the percentage $14.98 and 5%

turn the percentage into a decimal. divide the number of the percentage by 100 5/100=0.05

multiply this by the amount of money to get 0.05*14.98=0.749. then round answer to two decimal places to get $0.75

Answer:

$0.75

Step-by-step explanation:

Calculate the slope between the points (0,1) and (8,4)

Answers

Answer:

3/8

Step-by-step explanation:

[tex]slope = \frac{4 - 1}{8 - 0} = \frac{3}{8} \\ [/tex]

Answer:

0.375

Step-by-step explanation:

slope = Y2-Y1/X2-X1

slope = 4-1/8-0

slope = 3/8

slope = 0.375

Hope that helps!

A collection of 76 dimes and quarters is worth $13.90. How many of each coin are there?

Answers

42 quarters and 34 dimes

un objeto cae accidentalmente de un vehículo que lleva una rapidez de 50 kilómetros por hora y recorre 20 m antes de detenerse​

Answers

Un objeto cae accidentalmente de un vehículo con una velocidad de

50 km / hy recorra 20 m antes de detenerse.

Calcular:

a) La aceleración:

b) El tiempo que tarda en detenerse:

Responder:

1.439 s

-9,645 m / s²

Explicación paso a paso:

Dado que:

Velocidad en m / s = (50 * 1000) / 3600 = 13.899 m / s

Distancia (d) = 20

Tiempo = distancia / velocidad

Tiempo = 20 / 13.889

Tiempo = 1.439 s

Aceleración (a):

Cambio de velocidad / tiempo empleado

= (0 - 13,889) / 1,439

- 13.889 / 1.439

= -9,645 m / s²

which coordinate plane contains the points (2, 2.5) and ( -4, -4)​

Answers

Answer:

D.

Step-by-step explanation:

That is the only answer provided.

Determine the x-intercept, y-intercept and slope of the line described by - 3x + 7y = –21 (Which is not proper Standard Form because the coefficient of x can't be negative)

Answers

Slope = 3/7

y - intercept: y = -3

x - intercept x = 7

In a certain board game a 12 sided number cube showing numbers 1-12 is rolled. If 3 such number cubes are rolled, what is the probability that at least 1 show as a 2?

Answers

Answer:

0.2297453

Step-by-step explanation:

Given that :

Total faces of = 12 labeled 1 - 12

Probability of showing a 2 ;

P = required outcome / Total possible outcomes

P(showing a 2) = 1 /12

Hence, probability of not showing a 2 ;

P(showing a 2)' = 1 - 1/2 = 11/12

Probability that atleast one of 3 cubes shows a 2 :

1 - P(none of the cubes shows a 2)

P(none of the cubes shows a 2) =

(11/12 * 11/12 * 11/12) = 0.7702546

1 - 0.7702546 = 0.2297453

This question is based on the probability. Therefore, the probability that at least 1 show as a 2 is 0.22974 if 3 such number cubes are rolled.

Given:

In a certain board game a 12 sided number cube showing numbers 1-12 is rolled.

We need to determined the probability that at least 1 show as a 2, if 3 such number cubes are rolled.

It is given that total faces of = 12 labeled 1 - 12

Now calculating probability of showing a two ;

[tex]Probability = \dfrac{ Required\, outcome }{Total\, possible \,outcomes}[/tex]

[tex]Probability\, of\, showing\,a \,two=\dfrac{1}{12}[/tex]

Hence, probability of not showing a 2 is,

[tex]Probability\, of\, not\,showing\,a \,two=1-\dfrac{1}{12}[/tex]

Now, calculating probability that at least one of 3 cubes shows as a 2 =

1 - P(none of the cubes shows a 2)

[tex]P(none\, of\, the\, cubes\, shows\, a \,2) = \dfrac{11}{12} \times \dfrac{11}{12} \times \dfrac{11}{12} \\\\P(none\, of\, the\, cubes\, shows\, a \,2)=\dfrac{1331}{1728} = 0.770[/tex]

Probability that at least one of 3 cubes shows as a 2 = 1 - 0.770 = 0.22974

Therefore, the probability that at least 1 show as a 2 is 0.22974 if 3 such number cubes are rolled.

For more details, prefer this link:

https://brainly.com/question/11234923

maraina made 36 cupcakes in 45 mins how long would it take to make 108 cupcakes

Answers

Answer:

135 mins/2hr 15min

Step-by-step explanation:

108 divided by 3=36 so 45 multiplied by 3 which equals 135 please pick brainliest.

how do u divide 13 by 286?

Means alot if u can give me the answer:)

Answers

Answer: 0.04545

Step-by-step explanation:

It is a decimal bc it is a smaller number divi by a larger number and it is not even, if it were flipped to be 286/13 the answer would be 22

HELPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!1

Answers

Answer:

I deeply apologize if this answer is wrong but I believe the answer is C. y = 2x - 3.

Step-by-step explanation:

If this helped I would appreciate it if you marked me Brainliest. thank you and have a nice day!

- 6x + 5y = 11 Complete the missing value in the solution to the equation x=-1

Answers

Answer:

Step-by-step explanation:

-6x+5y=11

If x= -1 replace x with -1

-6(-1)+5y=11

6+5y=11  subtract 6 from both sides

5y=5  divide by 5

y=1

Answer:

Sub in the value, 6mutiplied by -1 is 6 so 6+5y=11. Subtract 6 from both sides. 5y=5

Y=1

X=-1

(-1,1)

PLEASE HELP ME IT WILL MEAN ALOT TO ME ILL MARK YOU AS A BRILLIANT

Answers

Answer:

(a) 0.00000221    (b) 4.2 x [tex]10^{5}[/tex]

Step-by-step explanation:

(a)  [tex]10^{-6}[/tex] means you need to move the decimal left (because of the negative) 6 spaces. So you have 2.21 move the decimal 6 spaces left and you end up with 0.00000221

(b) If you have 420,000 and you count 5 spaces from the last number, that leaves the decimal inbetween the 4 and 2 so your answer will be 4.2 x [tex]10^{5}[/tex]

In triangle, HIJ, HI = 48, and IJ = 27. What is the range of values for the length third side?

Answers

Answer:

The range is between 21 and 75

Step-by-step explanation:

"The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side."

Any two sides of of a triangle added together cannot be equivalent to or less than the length of the third side. Knowing this, we can figure out the range. If you add 48 and 27, you get 75.  We know 75 is the top of the range, the length of the third side cannot be 75 or greater. Going the other way, if you assume that the third side is one of the smaller ones, you can identify 48 as the largest value. If you subtract 27 from 48 you get 21, so the length of the third side cannot be 21 or lower.

This gives us the range. Just keep this rule in mind. Hope this helped!

Answer:

21 < HJ < 75

Step-by-step explanation:

distance formula from the origin?

Answers

Step-by-step explanation:

I'm not entirely sure what you mean by "from the origin", but hopefully this helps.

The distance formula for a Cartesian coordinate system (your standard x-y graph) is [tex]d=\sqrt{(x1-x2)^{2}+(y2-y1)^{2}}[/tex].

If you're measuring "from the origin", that just means one of your points is (0,0).

For example, if you were to measure between the origin and the point (1,4) your formula would look like this:

[tex]d=\sqrt{0-1)^{2}+(0-4)^{2}}\\d=\sqrt{(-1)^{2}+(-4)^{2}} \\d=\sqrt{1+16} \\d=\sqrt{17}[/tex]

So, the distance between the origin and (1,4) is [tex]\sqrt{17}[/tex].

I hope this helps! Please let me know if you have any other questions!

The function f(x) is exponential and the function g(x) is linear, These functions have the following values: f(1) = 2 g(1) - 2.5 f(2)= 6 g(2) = 4 It follows that there must be a solution to f(x) = g(x) between x = 1 and x = 2.

True
False​

Answers

Answer:

Step-by-step explanation:

There does not exist any solution of  as thir graphs do not intersect.

Step-by-step explanation:

We are given that,

The values of the exponential function f(x) are f(1)= 2 and f(2)= 6.

That is, we get,

So, the function f(x) is .

Moreover, the values of the linear function g(x) are g(1) = 2.5  and g(2) = 4.

That is, the slope =  = 1.5

Substituting the slope and point (1,2.5) in the linear equation , where m is the slope, we get,

i.e. b= 1

Thus, the function g(x) is .

Consider,  

i.e.  

Now, the function f(x) is exponentially increasing and the linear function g(x) is increasing between x= 1 and x= 2, but there is no point where the graphs of the functions are intersecting.

Thus, there is no solution of the equation .

find the slope of 4x + 3y = 2​

Answers

Answer:

Slope is 4/3

Step-by-step explanation:

We need to turn this into slope intercept form to find the slope,

slope intercept form is y=mx+b, we just need to "rearrange" the problem using reverse operations and get our slope

4x+3y=2      

4x-4x+3y=2-4x  subtract 4x from both sides ⇒ 3y=4x-2

we need to get rid of the 3, so divide both sides by 3

[tex]\frac{3y}{3} =\frac{4x-2}{3}[/tex]        and we get

y=4/3x-2/3

Our slope is 4/3

feel free to ask any questions or comments

School is 2 miles from home along a straight road. The table shows your distance from home as you walk home at a constant rate.


Time (min)
10
20
30
Distance from home (miles)
1.5
1
0.5



Is the relationship in the table proportional?
Find your distance from school for each time in the table.
Write an equation representing the relationship between the distance from school and time walking.

Answers

0.65 by 0.71 by 1.59 inches (16.5 by 18.0 by 40.5 mm) 1.74 by 0.84 by 2.11 inches (44.3 by 21.3 by 53.5 mm)

Select the correct answer.
Which point is a reflection of T(-6.5, 1) across the x-axis and the y-axis?

A.
point U
B.
point V
C.
point W
D.
point X

Answers

Answer:

the answer is W i think

Step-by-step explanation:

Transform each of the following into a quadratic equantion in the form ax +bx + c = 0
x(x+5)=2

Answers

Answer:

x² + 5x - 2 = 0

Step-by-step explanation:

The standard form of a quadratic equation is ax² + bx + c = 0 (a ≠ 0 )

Given

x(x + 5) = 2 ← distribute left side

x² + 5x = 2 ( subtract 2 from both sides )

x² + 5x - 2 = 0 ← in standard form

CAN SOMEONE GIVE ME THE ANSWER

Answers

Answer: 5*4=20 6*4=24 7*4=28 8*4=32

Step-by-step explanation:

Hope this helps. :)

Answer:

The linear function is a direct variation and the variation is multiply x by 4 to get Y. (x × 4 = y)

Step-by-step explanation:

5 × 4 = 20

6 × 4 = 24

7 × 4 = 28

8 × 4 = 32

The original price for a football is $60. What is the discount rate if the new price for the football is $39

Answers

Answer:

.65

Step-by-step explanation:

searched it up

Answer:

35% off

Step-by-step explanation:

60 - 35% = 39  I used a calculator btw

Which geometric series results in a sum of -69,905

Answers

Using geometric sequence concepts, it is found that the one which results in a sum of -69,905 is:

D. [tex]\sum_{k = 0}^{9} -\frac{1}{5}(4)^k[/tex]

What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

As a sum, it can be represented by:

[tex]\sum_{k = 0}^{n - 1} a_1(q)^k[/tex]

In which [tex]a_1[/tex] is the first term.

The result of the sum is:

[tex]S = \frac{a_1(1 - q^n)}{1 - q}[/tex]

Item A:

For this sequence, we have that:

[tex]a_1 = \frac{1}{4} = 0.25, n = 8, q = -5[/tex]

Hence, the sum is:

[tex]S = \frac{0.25(1 - (-5)^8)}{4} = -24414[/tex]

Item B:

For this sequence, we have that:

[tex]a_1 = -\frac{1}{4} = -0.25, n = 12, q = 5[/tex]

Hence, the sum is:

[tex]S = \frac{-0.25(1 - (5)^12)}{-4} = -15258789[/tex]

Item C:

For this sequence, we have that:

[tex]a_1 = \frac{1}{5} = 0.2, n = 11, q = -4[/tex]

Hence, the sum is:

[tex]S = \frac{0.2(1 - (-4)^11)}{3} = 279620.3[/tex]

Item D:

For this sequence, we have that:

[tex]a_1 = -\frac{1}{5} = -0.2, n = 10, q = 4[/tex]

Hence, the sum is:

[tex]S = \frac{-0.2(1 - (4)^10)}{-3} = -69905[/tex]

Hence option D is correct.

You can learn more about geometric sequence concepts at https://brainly.com/question/11847927

An article published in the Washington Post claims that 45 percent of all Americans have brown eyes. A random sample of =80 college students students found 30 who had brown eyes.

Answers

Answer:

a. -1.35

b. 0.177016

Step-by-step explanation:

According to the question, following data is given

Brown eyes american percentage is 45

Random sample be 80 out of which 30 had brown eyes

Based on the above information

The computation is shown below:

a. The proportion of the sample is

[tex]\bar p = \frac{30}{80}\\\\= 0.375[/tex]

The z value is

[tex]z = \frac{\bar p - p }{\sqrt{\frac{p(1 - p)}{n} } } \\\\\frac{0.375-0.45 }{\sqrt{\frac{0.45(1 - 0.45)}{80} } }[/tex]

= -1.35

b Now the P value is

As z comes -1.35

So, there is a two tailed p value i.e. 0.177016

Select all true statements
A. Angle CBE is congruent to angle ABE.
B. Angle CEB is congruent to angle DEA.
C. Segment DA is congruent to segment CB.
D. Segment DC is congruent to segment AB.
E. Line DC is parallel to line AB.
F. Line DA is parallel to line CB.

Answers

Answer:

B,C,E are right statements

The correct statements about the given quadrilateral are:

(B) ∠CEB ≅ ∠DEA (Vertically opposite angles)(C) DA ≅ CB (Given)(D) DC || AB (Given)

What are quadrilaterals?A quadrilateral is a four-sided polygon with four edges and four corners that is used in geometry. The Latin words Quadri, a variation of four, and latus, meaning "side," are the source of the name. A parallelogram with four equal sides is referred to as a rhombus. A rectangle with four equal sides is a square. A trapezoid is a quadrilateral having a single set of parallel opposite sides. A quadrilateral having two sets of neighboring sides that are equal is called a kite.

So, according to the given quadrilateral, we can conclude that the correct statements are:

∠CEB ≅ ∠DEA (Vertically opposite angles)DA ≅ CB (Given)DC || AB (Given)

Therefore, the correct statements about the given quadrilateral are:

(B) ∠CEB ≅ ∠DEA (Vertically opposite angles)(C) DA ≅ CB (Given)(D) DC || AB (Given)

Know more about quadrilaterals here:

https://brainly.com/question/16691874

#SPJ2

A number b minus 4.2 is less than −7.5.

Answers

B-4.2< -7.5

Explanation-

They say b minus 4.2 so we set it up like b-4.2 then it says less than so we use <

What is 2.53 rounded to the nearest whole number

Answers

Answer:

3.

Step-by-step explanation:

What is the value of b

Answers

Answer:

2 is the answer of value of b

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