The doubling time of a population of flies is 8 hours. By what factor does the population increase in 34 ​hours? By what factor does the population increase in 1 week ​?

Answers

Answer 1

Answer:

19.017 in 34 hours2,097,152 in 1 week

Step-by-step explanation:

An exponent is used to signify repeated multiplication. When the population doubles, it is multiplied by 2. The number of times the population has doubled will be an exponent of 2.

a)

In 34 hours, the population will have doubled 34/8 = 4.25 times. The multiplier is 2 with an exponent of 4.25:

 factor = 2^4.25 ≈ 19.027

__

b)

The population will double 24/8 = 3 times each day. After 7 days, the population will have doubled 7×3 = 21 times. The multiplication factor is ...

  factor = 2^21 = 2,097,152


Related Questions

Help Me On This!!

I already know the answer but i need a short explanation.​

Answers

Answer:

option B

Explanation:

With every increase in side, there is an increase in dots

1 side = 1 dot2 side = 2 dot3 side = 3 dot4 side = 4 dot

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

Option B has 4 sides and 4 dots.

Use logarithmic differentiation to find dy/dx. y = (1 + x)^1/x, x > 0

Answers

Use exp/log functions to rewrite y as

[tex]y = (1+x)^{\frac1x} \implies y = \exp\left(\ln\left(1+x)^{\frac1x}\right)\right)[/tex]

One of the properties of logarithms lets us bring down the exponent, so

[tex]y = \exp\left(\dfrac{\ln(1+x)}x\right)[/tex]

Now take the derivative of both sides with respect to x. By the chain and quotient rules,

[tex]\dfrac{dy}{dx} = \exp\left(\dfrac{\ln(1+x)}x\right) \times \dfrac{\frac x{1+x} - \ln(1+x)}{x^2}[/tex]

Simplify:

[tex]\boxed{\dfrac{dy}{dx} = \frac{x - (1+x)\ln(1+x)}{x^2(1+x)} (1+x)^{\frac1x}}[/tex]

Please answer fast
Select the correct answer.
An animal reservation has four different regions for animals. The number of animals in each region is shown in the table.
B
C
Region
Number of Animals
A
42,500
D
49,200
60,800
57,300
35 mi
A
38 mi
51 mi
Sketch of Region
42 mi
A
50 mi
40 mi
49 mi
32 mi
Which re
region has a population density less than 60 animals per square mile?
ΟΑ. Α
OB. B
OC. c
ODD

Answers

Considering the area of a triangle, the region that has a population density less than 60 animals per square mile is:

C. c.

What is the area of a triangle?

The area of a triangle of base b and height h is given by:
A = 0.5bh.

Item a:

We have that b = 40, h = 35, hence the area in miles squared is given by:

A = 0.5 x 40 x 35 = 700.

The density is the number of animals divided by the area, hence:

D = 42500/700 = 60.7.

Item b:

We have that b = 38, h = 25, hence the area in miles squared is given by:

A = 0.5 x 38 x 50 = 950.

Then, the density is:

D = 60800/950 = 64.

Item c:

We have that b = 42, h = 49, hence the area in miles squared is given by:

A = 0.5 x 42 x 49 = 1029.

Then, the density is:

D = 57300/1029 = 55.7.

Hence option C is correct.

More can be learned about the area of a triangle at https://brainly.com/question/21735282

Answer:

C.C-57,300

Step-by-step explanation:

Use the formula to evaluate the series . Round your answer to the nearest hundredth.

Answers

We are given with a sequence, which is a GP (Geometric Progression), as the ratio [tex]{\bf{a_{n+1}:a_{n}}}[/tex] is 1/3 for every [tex]{\bf{n\in \mathbb{N}}}[/tex], so 1/3 is the comman ratio r, and we needa find sum till 6 terms, so n = 6, and first term is 6, so putting all the values we will be having ;

[tex]{:\implies \quad \sf S_{6}=\dfrac{6\bigg\{1-{\bigg(\dfrac13\bigg)}^{6}\bigg\}}{1-\dfrac13}}[/tex]

[tex]{:\implies \quad \sf S_{6}=\dfrac{6\bigg(1-\dfrac{1}{3^{6}}\bigg)}{\dfrac{3-1}{3}}}[/tex]

[tex]{:\implies \quad \sf S_{6}=6\bigg(\dfrac{3^{6}-1}{3^{6}}\bigg)\div \dfrac23}[/tex]

[tex]{:\implies \quad \sf S_{6}=6\bigg(\dfrac{3^{6}-1}{3^{6}}\bigg)\times \dfrac32}[/tex]

[tex]{:\implies \quad \sf S_{6}=\dfrac{3^{6}-1}{3^{4}}}[/tex]

[tex]{:\implies \quad \sf S_{6}=\dfrac{3^6}{3^4}-\dfrac{1}{3^4}}[/tex]

[tex]{:\implies \quad \sf S_{6}=3^{2}-\dfrac{1}{81}}[/tex]

[tex]{:\implies \quad \sf S_{6}\approx 9-0.012\approx 8.988\approx \boxed{\bf{8.99}}}[/tex]

Bob plans to complete a 375 mile trip in hours. At what rate is he planning to travel?

Answers

Answer: 55 mph

Step-by-step explanation: rate=distance/time=275/5=55 miles per hour

PLEASE HELP ILL GIVE BRAINLIESTTTT

Answers

Answer:

30 degrees

Step-by-step explanation:

inscribed angle angle x encompasses   360 - 120 - 180 = 60 degrees of arc

  this is 2 times the measure if the inscribed angle

 angle B = 30 degrees

Solve the linear equations below by using:
2x + y = -3
3x - 2y = -8

a. Addition
b. Substitution
c. Graphing ​

Answers

a. Y= -7
X=2
4x+2y=-6
+(3x-2y=-8

Elizabeth had 3 orange marbles, 2 green marbles, and 3 yellow marbles in a bag. There were no other marbles in the bag. Without looking, Elizabeth selected a marble from the bag.
What is the probability Elizabeth selected an orange marble from the bag?


A 2/8


B 3/8


C 5/8


D 6/8

Answers

Answer:

3/8

(B)

Step-by-step explanation:

3+2+3=8.

There are 3 orange, so 3/8

Answer:

7/8

Step-by-step explanation:

3+3+2=8 but it said probability she selected AN orange marble

Hey culture starting with 5000 bacteria after four hours ago to 5500 bacteria predict how many bacteria will be present after 13 hours. Round to the nearest whole number

Answers

it will be 3375 bacteria my ducky

A spherical balloon has a 16-in diameter when it is fully inflated. Half of the air is let out of the balloon. Assume that the balloon remains a sphere.
a. Find the volume of the fully-inflated balloon.
b. Find the volume of the half-inflated balloon
c. What is the radius of the half-inflated balloon?

Answers

Answer:

a. 2144.66 cubic inches

b.1072.33  cubic inches.

c. 16  inches

Step-by-step explanation:

hello, to answer this question we have to calculate the volume of  sphere:

Volume of  sphere: 4/3 π r³

Since diameter (d) = 2 radius (r)

Replacing with the value given:

16 =2r

16/2=r

r= 8 in

Back with the volume formula:

V = 4/3 π r³

V =4/3 π (8)³

V = 2144.66 cubic inches

The volume of the half-inflated balloon is equal to the volume of the sphere divided by 2.

2144.66/2 = 1072.33  cubic inches.

To find the radius of the half-inflated balloon we have to apply again the volume formula and substitute v=1072.33

1072.33 = 4/3 π r³

Solving for r

1072.33 / (4/3 π)= r³

256= r³

16 = r

r = 16 inches

MAX POINTS PLEASE HELP Will make Brainliest

What is the period and frequency of the function graphed and how would the equation be written as a function

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The required equation is :

[tex]\qquad \rm \dashrightarrow \:y =a \cos(bx) + k[/tex]

Now, let's find the required values :

period (p) = 6

[distance between any successive Crest or trough]

a = - 4 (flipped)

b = 2π/p = 2π/6 = π/3

k = -2

Distance of starting position from origin = k

Now, plug in the values ~

[tex]\qquad \rm  \dashrightarrow \: - 4 \cos( \frac{\pi}{3} x) - 2[/tex]

What type of association is shown by the scatterplot?

Answers

Answer:

Positive

Step-by-step explanation:

The graph goes up (puff puff positive)

What is the value of the expression shown below?
−(−4)(-6) − (10 + 15)
-
1|3

Answers

Answer:

-27.3 is the ans without decimal its -27-1/3

Answer:

-49 and 1/3

Step-by-step explanation:

− (-4 x -6) − (10 + 15) − 1/3

− (24) − (25) − 1/3

− 24 − 25 − 1/3

−49 − 1/3

-49 and 1/3

BRAINLIEST please if this helped!

This is a picture of a cube and the net for the cube.

What is the surface area of the cube?​

Answers

Answer:

I don’t get it

Step-by-step explanation:

I think it is 5

its 54 also for some reason my comment keeps getting deleted for saying 54??

Solve 9x^2- 17x- 85 = 0 Give your solutions correct to 3 significant figures.​

Answers

Answer:

[tex]x =\frac{17}{18} +\frac{1}{18} \sqrt{3349}[/tex] OR [tex]x =\frac{17}{18} +\frac{-1}{18} \sqrt{3349}[/tex]

Step-by-step explanation:

9x2−17x−85=0

For this equation: a=9, b=-17, c=-85

9x2+−17x+−85=0

Step 1: Use quadratic formula with a=9, b=-17, c=-85.

[tex]x =\frac{-b + \sqrt{b^{2}-4ac } }{2a}[/tex]

[tex]x =\frac{-(-17)+\sqrt{(-17)^{2} -4(9)(-85)} }{2(9)}[/tex]

[tex]x =\frac{17}{18} +\frac{-1}{18} \sqrt{3349}[/tex]

An annual percentage rate (APR) includes:

A. both the interest and fees on a loan.

B. only the fees on a loan.

C. neither the interest nor the fees on a loan.

D. only the interest on a loan.

Answers

Answer:

A. both the interest and fees on a loan.

Step-by-step explanation:

An annual percentage rate (APR) includes both the interest and fees on a loan.

[tex]\purple{\boxed{\blue{\boxed{\green{\star{\orange{\ \: \: Sumin-!! \: \: \: {\green{\star}}}}}}}}}[/tex]

QUESTION TWO a A Mercedes Benz mechanic, in determining whether to purchase a device of design A or design B, checks the times for completing a certain task on each device. Eight operators were used in the testing, with each operator using both device A and B in a randomized order. The times in seconds) required to complete the task are given in the following tables. B Operator A 1 32 2. 40 3 42 4 26 5 35 6 29 7 45 8 22 aaNION 30 39 42 23 36 27 41 21 a) At alpha level equal to 0.05; test to see if there is a significant difference between mean completion times. (5 Marks) b) Determine the 95% level of confidence interval for the difference between A and B. (5 Marks) .​

Answers

At alpha level equal to 0.05, there is no significant difference between mean completion times.

How to illustrate the significance level?

From the complete information, the test statistic will be:

t = [(33.875 - 32.375) - 0]/8.1472 × ✓0.25

t = 0.3682

The tabulated value is 1.76. Therefore, we will accept the null hypothesis. Therefore, there is no significant difference between mean completion times.

Learn more about significance level on:

https://brainly.com/question/14279939

The line MN is shown on the grid.
Find the equation of the perpendicular bisector of line MN.

Answers

Find midpoint coordinates:

[tex]\rightarrow \sf (\dfrac{-1+3}{2} ), \ (\dfrac{7+(-1)}{2} )[/tex]

[tex]\hookrightarrow \sf (1, \ 3)[/tex]

Find the gradient of MN:

[tex]\dashrightarrow \sf \dfrac{-1-7}{3-(-1)}[/tex]

[tex]\dashrightarrow \sf -2[/tex]

slope of perpendicular bisector:

[tex]\rightarrow \sf \dfrac{1}{2}[/tex]

Equation:

[tex]\sf \rightarrow y = \dfrac{1}{2}x+\dfrac{5}{2}[/tex]

Answer:

[tex]y=\dfrac12x+\dfrac52[/tex]

Step-by-step explanation:

M = (-1, 7)

N = (3, -1)

[tex]\sf slope\:of\:MN=\dfrac{y_n-y_m}{x_n-x_m}= \dfrac{-1-7}{3-(-1)}=-2[/tex]

If two lines are perpendicular to each other, the product of their slopes will be -1.  Therefore, the slope (m) of the line perpendicular to MN is:

[tex]\sf \implies -2 \times m=-1[/tex]

[tex]\sf \implies m=\dfrac12[/tex]

If the line bisects the line MN, it will intersect it at the midpoint of MN:

[tex]\begin{aligned}\textsf{Midpoint of MN} & =\left(\dfrac{x_m+x_n}{2},\dfrac{y_m+y_n}{2}\right)\\ & =\left(\dfrac{-1+3}{2},\dfrac{7+(-1)}{2}\right)\\ & =(1,3)\end{aligned}[/tex]

Finally, use the point-slope form of the linear equation with the found slope and the midpoint of MN:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]\implies y-3=\dfrac12(x-1)[/tex]

[tex]\implies y=\dfrac12x+\dfrac52[/tex]

Classify each of the following lines as parallel, transversal or perpendicular.

Answers

Answer:

5. Perpendicular

6. Parallel

7. Transversal

8. Perpendicular

9. Parallel

10.Transversal

Step-by-step explanation:

A student is evaluating the expression below for n = 3.7.
12.8 + 6(n - 0.5)
1. The student substitutes 3.7 for n. Write the new expression.
2. What step should he do next?

Answers

Use pemdas (parenthesis, exponents, multiplication/division, addition/subtraction)
12.8+(6*(3.7-.5))
12.8+(6*3.2)
12.8+(19.2)
=32

30 divided by 14 written as a fraction

Answers

Answer:

I believe your answer is 15/7

Let's solve.

    [tex]\frac{30}{14} =\frac{15 * 2}{7*2} =\frac{15}{7}[/tex]

Hope that helps!

F(x)=2x^2+7x-5 and g(x)=-8x^2-3x+5
What is g(x) +f(x)

Answers

(2x^2 + 7x - 5) + (-8x^2 - 3x + 5)

= -6x^2 + 4x

That is the answer, but if you need to factor it further:

= 2x(-3x + 2)

Please help me solve these problems​

Answers

From the dots the parabola’s are the same size just transitioned to different locations.


blue = y = x^2 + 3

Green = y = (x-4)^2

Orange = y = x^2 - 3

Purple = y = (x+4)^2

Which expression does this power represent?

10^8


10 × 8

10 × 10 × 10 × 10 × 10 × 10 × 10 × 10

10 × 8 × 10 × 8 × 10 × 8 × 10 × 8 × 10 × 8 × 10 × 8 × 10 × 8 × 10 × 8

8 × 8 × 8 × 8 × 8 × 8 × 8 × 8 × 8 × 8

Answers

Answer:

10^8 represents 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10

Step-by-step explanation:

Because it is to the 8th power, this means it's multiplied by itself 8 times.

Answer: It represents b 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10

Step-by-step explanation:

pls help. Consider the following expression 9u+7v+5+4v.
Select all of the true statements below.

Answers

Answer:

7v and 4v are like terms, 9u is a term, and 5 is a constant.

Step-by-step explanation:

Like terms are terms that can be added together, such as numbers being multiplied by the same variable. A term is a number, a variable, or a number and a variable combined. A constant is a number that is not being multiplied or divided by a variable, but just a number on its own.

help!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

8

Step-by-step explanation:

A can is shaped like a cylinder 5.2 cm wide and 2.3 cm tall. find the volume of the nearest tenth. use 3.14 for pie.
Please help me!!
30 points for it!!!!!!!!!!

Answers

Answer: 48.8

Step-by-step explanation: The equation for the area of a circle is π*r², since the base of a cylinder is a circle we take the equation of a circle and multiply the height of the cynlinder by using the equation π*r²*h to get the volume of a cylinder. In this case our factors are

π= 3.14

r²= 6.76  

h=2.3

3.14*6.76*2.3=48.82072

rounded to the nearest tenth=48.8

Answer: the answer is 48.8

If a tennis ball has a diameter of 14, What is the volume of the tennis ball? Round to the nearest hundreth Use
3.14 for it pi

Answers

if its diameter is 14, then its radius is half that or 7.

[tex]\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=7 \end{cases}\implies \begin{array}{llll} V=\cfrac{4\pi (7)^3}{3}\implies V=\cfrac{1372\pi }{3} \\\\\\ \stackrel{using~\pi =3.14}{V\approx 1436.03} \end{array}[/tex]

Answer:

[tex]1436.76... units^3[/tex]

Step-by-step explanation:

Recall the formula for the volume of a sphere.

[tex]V = \frac{4}{3} \pi r^3[/tex]

The question gives you diameter. As you know, diameter is twice the radius. Therefore, to convert diameter into radius, you divide the diameter by 2.

[tex]r = 14/2[/tex] [tex]= 7[/tex]

Now that you have the radius, all you need to do is plug it into the volume formula.

[tex]V = \frac{4}{3}\pi 7^3[/tex] = [tex]1436.76... units^3[/tex]

What is the BEST evidence that the author would make a good sportswriter?
A) the poem's admiring attitude toward athletes
B) the fact that she has failed at almost every sport
C) the poem itself, which is a funny description of sports
D) the fact that she has loved sports since she was very young

Answers

Answer:

C

Step-by-step explanation:

The poem itself, which is a funny description of sports.

Answer: C) the peom itself which is funny description of sports.

Step-by-step explanation: The reason this is the answer is because The poem they wrote towards the athletes and passion they have for sports.

You deposit $5000 in an account earning 2% interest compounded continuously. How much will you
have in the account in 10 years?
$

Answers

Step-by-step explanation:

Answer:

\sf (x+14)^2+(y+5)^2=149(x+14)2+(y+5)2=149

Step-by-step explanation:

Standard equation of a circle:  \sf (x-a)^2+(y-b)^2=r^2(x−a)2+(y−b)2=r2

(where (a, b) is the center and r is the radius of the circle)

Substitute the given center (-14, -5) into the equation:

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