Which of the three situations given below is best modeled by an exponential function?

I. A bacteria culture doubles in size every day.

II. A plant grows by 1 inch every 4 days.

III. The population of a town declines by 5% every 3 years.

Answers

Answer 1

I. The bacteria culture doubles in size every. day


Related Questions

Many weather conditions need to be met before a space shuttle can launch. The temperature must be greater than 35°F and less than 100°F, and the wind speed cannot exceed 30 knots. A system of inequalities can be used to show these three conditions. Write a system for the above constraints.​

Answers

Answer:

Launch may not occur if the temperature is 35° F or colder.

would be your answer.

Step-by-step explanation:

The temperature cannot exceed 99° F for 30 consecutive minutes. Peak wind speed is 30 knots. When the wind direction is between 100 degrees and 260 degrees, the maximum wind speed may be as low as 24 knots.

-121-1,649°C.

What is the answer to −6(x +2) − 2

Answers

Answer: hii <3

The Answer Is = −6x−14

Step-by-step explanation:

Simplify the expression.

Hopefully this helps you

- Matthew :)

Answer:

[tex]\Longrightarrow: \boxed{\sf{-6x-14}}[/tex]

Step-by-step explanation:

In order to solve this, you need to expand by the distributive property.

Distributive property:

[tex]\Longrightarrow: \sf{A(B+C)=AB+AC}[/tex]

[tex]\Longrightarrow: \sf{A(B-C)=AB-AC}[/tex]

-6(x+2)-2

Expand.

-6*x=-6x

-6*2=-12

Then, rewrite the expression down.

-6x-12

-6x-12-2

Subtract the numbers from left to right.

-12-2=-14

[tex]\Longrightarrow: \boxed{\sf{-6x-14}}[/tex]

Therefore, the correct answer is -6x-14.

I hope this helps. Let me know if you have any questions.

Good luck with your assignment!

Bags A and B contain some counters.
The number of counters on each bag is the same.
Work out the value of y

Answers

Answer: y=3

Step-by-step explanation:

It is a linear equation6y+1=4y+76y-4y=7-12y=6y=6/2y=3
6y+1=4y+7
6y-4y=7-1
2y=6
y=3

Can someone please help me really quick I need help

Answers

Check the picture below.

A dental hygienist might pay about $20,000 for education beyond high school and expect to earn about $70,000 per year. A veterinarian might pay about $153,000 for education beyond high school and expect to earn about $84,000 per year. Compare the total earnings minus the costs of education for the careers in 10 years. Which career would you choose if salary was the most important factor? Explain

Answers

Answer:

$150,000.

Step-by-step explanation:

What is the standard deviation of the data? 0.5 1.5 2.0 2.5

Answers

Answer:

0.74

Step-by-step explanation:

The standard deviation of a data set is the sqaure root of the variance, so first we must find the variance. The equation for variance is:

σ² = [tex]\frac{{(x_{1}-[x bar] )}^{2}+...+{(x_{n}-[x bar]) }^{2}}{n}[/tex]

x = number in the data set
xbar = median of the data set
n = number of terms

Plugging in the given values, the equation for the variance of this number set is:

σ² = [tex]\frac{(0.5 - 1.625)^{2} + (1.5 - 1.625)^{2}+ (2.0 - 1.625)^{2}+(2.5 - 1.625)^{2} }{4}[/tex]

Solving:

= [tex]\frac{1.265625+0.015625+0.140625+0.765625}{4}[/tex]

= [tex]\frac{2.1875}{4}[/tex]

σ² = 0.546875

Since the standard devianation is the sqaure root of the variance, we'll sqaure 0.546875:

[tex]\sqrt{0.546875}[/tex]

= 0.73950997288745

= 0.74 (rounded)

hope this helps!

Answer:

0.5

Step-by-step explanation
Because it is a standar deviation

At what price should Nepali bags be sold in order to make a profit of 140% by selling 2000 bags in the USA which was purchased in Nepal for Rs. 800 each and after paying 15% export tax ? [Given that $1 = Rs. 105.00.]​

Answers

The price at which the Nepali bags should be sold in order to make a profit of 140% is $21.02.

What is the price the bags should be sold ?

Profit is total revenue less total cost.

The first step to convert Rs. 800 to US dollars: 800 / 105 = $7.62

The second step is to determine the total cost including taxes: 1.15 x 7.62  = $8.76

Selling price = (1 + 1.40) x 8.76 = $21.02

To learn more about percentages, please check: https://brainly.com/question/25764815

Please show work y’all thank you!

Answers

I can’t see the picture

How many different vacation combinations do you have to choose from?​

Answers

Answer:

12 different vacation caombinations

Step-by-step explanation:

has 3 options of Theme Park and 4 options of length of trip

[tex]C=(3)(4)=12[/tex]

Hope this helps

The product of two numbers is 26 and one of the numbers is one larger than six times the other number. find the numbers.

Answers

Answer:

(-13/6, -12)

&

(2, 13)

Step-by-step explanation:

x · y = 26       -------> x = 26/y

y = 1 + 6x

SUB for y

x(1 + 6x) = 26

x + 6x² = 26

SOLVE for x

6x² + x - 26 = 0

6x² + 13x - 12x - 26 = 0

6x(x - 2) 13(x - 2) = 0

(6x + 13)(x - 2) = 0

x = -13/6 or 2

Test x = -13/6 for both equations

Equation 1

-13/6 · y = 26

y = -156/13

y = -12

Equation 2

y = 1 + 6(-13/6)

y = 1 - 13

y = -12

-12 = -12 ✅

Test x = 2 for both equations

Equation 1

2 · y = 26

y = 26/2

y = 13

Equation 2

y = 1 + 6(2)

y = 1 + 12

y = 13

13 = 13 ✅

Hope this helps & God bless!

Identify the reflection of the figure with vertices T(−1,3), U(−3,−17), and V(12,−8) across the y-axis.

Answers:
T (−1, −3), U (−3, 17), V (12, 8)
T (1, −3), U (3, 17), V (−12, 8)
T (3, −1), U (−17, −3), V (−8, 12)
T (1, 3), U (3, −17), V (−12, −8)

Answers

Answer:Reflecting over the y-axis = (x,y) → (-x,y)

So T will be (1,3) , U (3,-17) and V (-12. -8)

So D

Step-by-step explanation:

Answer:

T (1, 3), U (3, −17), V (−12, −8)

Step-by-step explanation:

To find the image as it is reflected from the preimage across the y-axis, apply the transformation rule, (x,y)→(−x,y), to each of the preimage points.

T(−1,3)→T'(1,3)

U(−3,−17)→U'(3,−17)

V(12,−8)→V'(−12,−8)

Draw lines between the found vertices to construct the reflected figure.

Therefore, the reflection of the figure with vertices T(−1,3), U(−3,−17), and V(12,−8) across the y-axis is the figure with vertices T'(1,3), U'(3,−17), and V'(−12,−8).

Twenty less than thrice a number is 223

Answers

[tex]~~~~~~3x-20=223\\\\\implies 3x = 223+20\\\\\implies 3x = 243\\\\\implies x = \dfrac{243}{3}\\\\\implies x =81\\\\\text{The number is 81.}[/tex]

ASAP worth 50 points

Answers

Answer:

32.5 square feet

Step-by-step explanation:

Area of a trapezoid

1/2 x (a + b) x ha and b = length of parallel sidesh = height

Solving

Here : a = 5, b = 8, and h = 5Area = 1/2 x (5 + 8) x 5Area = 1/2 x 13 x 5Area = 65/2Area = 32.5 square feet

Answer:

32.5 square feet

Step-by-step explanation:

here we just find the area of both shapes within the trapezoid and add them, let's start with the triangle,

formula for the area of a triangle is 0.5 × base × height

therefore,

the area of the triangle is 7.5

the area of a square is equal to the length of the side squared.

5^2 = 25

the sum of 25 + 7.5 = 32.5

final answer is 32.5 square feet

if you need any further guidance make sure to ask:)

help on this assignment i get confused on this

Answers

Answer:

See below:

Step-by-step explanation:

Y intercept    is 'short' for y-AXIS intercept...

 the line intercepts the y axis at d = 7 blocks

the slope =   change in y  / change in x

                          - 5           /      1           = - 5   (using the points on the graph)

I need help! This pattern repeats every 4 terms. The pattern is square, hexagon, trapezoid, triangle. What is the shape in the 7th term of this pattern?

Answers

Answer:  Trapezoid

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

Explanation:

There are two ways to do this problem.

Method 1 involves listing out the terms until we reach the seventh one.

squarehexagontrapezoidtrianglesquarehexagontrapezoidtriangle

We see that the trapezoid is term 7.

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

Method 2 is faster and the one I recommend.

Since the pattern repeats every 4 items, this means we divide by 4 and look at the remainder. Ignore the quotient entirely.

7/4 = 1 remainder 3

The remainder 3 means that the answer is found in term 3, which is the trapezoid.

A certain number is subtracted from 20.the result multiplied by 3 is equal to 45. What is the number?

Answers

I believe the answer is 35.



Explanation:


If you divide 45 by 3, you get 15. 20 + 15 = 35, hence the answer.

Michael sold property for much more than he originally paid. The difference
between the price he paid for the property and the price for which he sold it is:
O simple interest.
O capital gains.
O capital goods.
O compound interest.

Answers

Answer:

Capital Gains

Step-by-step explanation:

selling for more than you bought is a gain

A bucket contains 3 small red blocks, 5 small yellow blocks, 5 large yellow and 7 large red blocks. If a block is drawn randomly, what is the probability that the block is yellow, given that it is one of the large yellow blocks

Answers

Answer:

probability = favorable cases / true cases

p(A)=5/20 simplified by 5 = 1/4

answer : the probability that the block is one of the large yellow it's 1/4.

A GIC pays 6% per annum. How long would it take $3000
to grow to $6000? (3 marks)

Answers

Answer:

180 weeks you have to convert the percentage to a decimal and multiple it to 3000

26) Anjali and Rob are selling cookie dough for a school fundraiser. Customers can buy packages of
sugar cookie dough and packages of oatmeal cookie dough. Anjali sold 6 packages of sugar cookie
dough and 2 packages of oatmeal cookie dough for a total of $116. Rob sold 9 packages of sugar
cookie dough and 12 packages of oatmeal cookie dough for a total of $318. Find the cost each of
one package of sugar cookie dough and one package of oatmeal cookie dough.

Answers

Answer:

Sugar cookie dough packages cost 14 dollars each, and oatmeal cookie dough packages cost 16 dollars each.

Step-by-step explanation:

Let s equal the cost of a sugar cookie dough package, and o equal the cost of oatmeal cookie dough packages.

6s + 2o = 116

9s+12o = 318

therefore,

18s+6o = 348

18s+24o = 636

Subtracting them, we get -18o = -288, or 18o = 288

Therefore, o = 16, and 6s+32=116, so 6s=84, so s = 14

Find the length of the third side. If necessary, round to the nearest tenth.
24
ко

Answers

Answer: 26

Step-by-step explanation: The third length is the hypotenuse or the longest side

What is the gcf of 36 and 90

Answers

Just pick a number, divide and see if you can factor even more.
Since both are even numbers, choose an even number that both divide by.
Like 6

36/6 = 6
90/6 = 15

Can you factor 6 and 15 even more? Yes, by 3
6/3 = 2
15/3 = 5

Can you factor 2 and 5? No, that’s it.

So GCF is 6 * 3 = 18

Lets check:
36/18 = 2
90/18 = 5

Can you factor 2 and 5 even further? No, that’s it

So GCF is indeed 18

Suppose for some value of x the solution to the equation 2.5(y−x)=0 is y = 6. What must be true about x?

HELPPPPPPPPPP

The value of the expression inside the parentheses must be equal to

Answers

Step-by-step explanation:

In this case, you input the value of y (y = 6) into the equation ( 2.5(y-x)= 0)

2.5(6-x) = 0

Open the bracket,

(2.5×6)-2.5x= 0

Collect like terms.

2.5x= 2.5×6

Divide both sides by the coefficient of x (2.5)

x = 6

So,

x= 6 is true.

.

Substituting 6 for x in the equation,

2.5(6-6)= 0

2.5•0 = 0

0= 0

Which is also true.

A 10-speed bike changes gears by moving the chain to different size sprockets on the front and back. The speed at which the bike goes varies directly with the number of revolutions per minute (rpm) you turn the pedals, directly with the number of teeth on the front sprocket, and inversely with the number of teeth on the back sprocket. A standard bike with 70 cm diameter wheels will go about 7.4 kilometers per hour if you pedal 40 rpm in the lowest gear (39-tooth front sprocket, 28-tooth back one). Write an equation expressing km/h in terms of the three independent variables.

Answers

The variation is a joint variation, and the equation that relates the three independent variables is [tex]s = 0.18\frac{rf}{b}[/tex]

How to determine the equation in terms of the variables?

The direct and the inverse variations from the question can be represented using:

[tex]s = k\frac{rf}{b}[/tex]

Where:

s represents the speed; s = 10k represents the constant of variationr represents the number of revolutions per minutef represents the number of front sprocket teethb represents the number of back sprocket teeth

From the question, we have:

r = 40; f = 39; b = 28

So, we have:

[tex]s = k\frac{rf}{b}[/tex]

[tex]10 = k\frac{40 * 39}{28}[/tex]

Make k the subject

[tex]k = \frac{10 * 28}{40 * 39}[/tex]

Evaluate

k = 0.18

Substitute k = 0.18 in [tex]s = k\frac{rf}{b}[/tex]

[tex]s = 0.18\frac{rf}{b}[/tex]

Hence, the equation that relates the three independent variables is [tex]s = 0.18\frac{rf}{b}[/tex]

Read more about variation at:

https://brainly.com/question/6974617

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Two yellow lines (one solid, another broken) in the center of a two-way road mean that vehicles traveling ___________.

Answers

on the broken line side can pass while the vehicles on the solid line side cannot.

A new car is purchased for 27,500 dollars. The value of the car depreciates at a rate of
9% per year. Which equation represents the value of the car after 2 years?

Answers

Answer:

A=27,500(1-.09)² or A=27,500(0.91)²

What is the value of z?
61°
310
to
25°
Lo
O

N

Answers

Answer:

C 31

Step-by-step explanation:

The value of the z-score tells you how many standard deviations you are away from the mean. If a z-score is equal to 0, it is on the mean. A positive z-score indicates the raw score is higher than the mean average. For example, if a z-score is equal to +1, it is 1 standard deviation above the mean.

9) 78% of what is 159 tons?

Answers

Answer:

78:159*100 =

(78*100):159 =

7800:159 = 49.06

Write each fraction as a percentage

Answers

Answer:

answer below

Step-by-step explanation:

3/5=60%

1/50=2%

9/10=90%

9/5=180%

18/60=30%

A piece of copper with a volume of 8.25 cubic centimeters has a mass of 73.92 grams. A piece of iron with a volume of 5 cubic centimeters has a mass of 39.35 grams. Which metal has the greater density?

PLEASE SHOW WORK, WILL MARK BRAINLIEST

Answers

A piece of copper with a volume of 8.25 cubic centimeters has a mass of 73.92 grams than has the greater density A piece of iron with a volume of 5 cubic centimeters has a mass of 39.35 grams.

How are density, volume and mass of a substance related?

Suppose that a finite amount of substance is there having its properties as:

mass of substance = m kg

density of substance = d kg/m³

volume of that substance = v m³

Then, they are related as:

[tex]d = \dfrac{m}{v}[/tex]

A piece of copper with a volume of 8.25 cubic centimeters has a mass of 73.92 grams.

[tex]d = \dfrac{73.92}{8.25}\\d = 8.96[/tex]

A piece of iron with a volume of 5 cubic centimeters has a mass of 39.35 grams.

[tex]d = \dfrac{39.35}{5}\\\\d = 7.87[/tex]

Thus, A piece of copper with a volume of 8.25 cubic centimeters has a mass of 73.92 grams than has the greater density A piece of iron with a volume of 5 cubic centimeters has a mass of 39.35 grams.

Learn more about mass, volume and density relation here:

https://brainly.com/question/952755

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