Madison starts with a population of 1,000 1 , 000 amoebas that triples in size every hour for a number of hours, ℎ h . She writes the expression 1,000(3ℎ) 1,000 ( 3 h ) to find the number of amoeba after ℎ h hours. Tyler starts with a population of 1 1 amoeba that increases 30% 30 % in size every hour for a number of hours, ℎ h . He writes the expression (1+0.3)ℎ 1 + 0 . 3 h to find the number of amoeba after ℎ h hours. Use the drop-down menus to explain what each part of Madison’s and Tyler’s expressions mean.

Answers

Answer 1

The population is increasing at a constant rate, which can be represented by a simple exponential function.

Madison's expression: 1,000(3ℎ)

1,000 - This represents the starting population of amoebas, which is 1,000.

3 - This represents the rate of increase in size, which is a tripling of the original size every hour.

ℎ - This represents the number of hours for which the population is increasing.

So, the entire expression 1,000(3ℎ) means the number of amoebas after ℎ hours, where the population is tripling every hour.

Tyler's expression: (1+0.3)ℎ

1 - This represents the starting population of amoebas, which is 1.

0.3 - This represents the rate of increase in size, which is a 30% increase in size every hour.

ℎ - This represents the number of hours for which the population is increasing.

So, the entire expression (1+0.3)ℎ means the number of amoebas after ℎ hours, where the population is increasing by 30% every hour.

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Related Questions

Over the past 6 seasons, one baseball player's batting averages
were .265, .327, .294, 316, .281, and .318.
A second player's batting averages were .304, .285, .312, .291,
.303, and .314. What are the range and mean of each player's
batting averages? Use your results to compare the player's
batting skills.

Answers

Answer:

fyificidixgxxtxgxggxfxgxgxgxgoogogogox

Solve the simultaneous equation
3x + 4y = 67
5x + 6y = 106

Answers

Answer:

Step-by-step explanation:

Solve the simultaneous equation3x + 4y = 675x + 6y = 106

f(x) = -4r? + 4x – 4 Find f (3)​

Answers

Answer:

-4 would be the answer also was that r meant to be an x

You pick a card at random, put it back, and then pick another card at random.
2345
What is the probability of picking a 4 and then picking a number less than 5?
Simplify your answer and write it as a fraction or whole number.

Answers

There are FOUR  4's in a deck of 52  

   4/52 = 1/13 chance

Second card less than 5 ?

    4 aces    4  two's  4 threes and 4  fours

      16/ out of 52 = 16/52 chance = 4/13 chance

1/13 * 4/13 = 4/169  chance of picking as questioned

?can someone help meh

?can someone help meh

Answers

Answer:

Step-by-step explanation:

C

I'm not sure if I am right and just want to make sure I got the right answer

I'm not sure if I am right and just want to make sure I got the right answer

Answers

Answer:

The answer is 9

Step-by-step explanation:

The answer is 9

The interval for which the quotient is continuous is the intersection of the above intervals. therefore, the quotient 12 x 12 x is continuous on the interval

Answers

Answer:

The common continuous interval will be (0,∞).

Step-by-step explanation:

Given that,

The numerator = 12+√x

The denominator = √12+x

We know that,

For the numerator,

Any function under square root should be greater than and equal to the zero.

\(x\geq 0\)

So, the continuous interval is (0, ∞)

For the denominator,

\(\sqrt{12+x}>0\)

\(12+x>0\)

\(x>-12\)

The interval for the continuous and non zero function is,

(-12, ∞)

We need to calculate the continuous interval

Using given quotient

\(\dfrac{12+\sqrt{x}}{\sqrt{12+x}}\)

The continuous interval of numerator and  denominator are (0, ∞) and (-12, ∞).

Hence, The common continuous interval will be (0,∞).

a and b are integers.

The product of a and b is -36.

The sum of a and b is -5.

a is negative

What is a?
What is b?

Answers

Answer:

a is -9

b is 4

Step-by-step explanation:

we know that a and b are whole numbers.

we know that they are factors of 36.

1 * 36

2 * 18

3 * 12

4 * 9

6 * 6

i just did this as guess and check.

what numbers have a difference of 5?

the factors 4 and 9.

so, if a is the negative one, a has to be -9 to get -5 because

-9 + 4 = -5

and

(-9)(4) = 36

The average rainfall in inches in Miami from January to May is 1.61, 2.24, 2.99, 3.15, 5.35, and 9.68 while it is 2.24, 2.8, 3.03, 2.05, 2.09, and 6.69 during the same period in Tampa.
Which city gets more rain and how much more?

A: Miami gets 0.78 more inches of rain.
B:Tampa gets 5.13 more inches of rain.
C: Miami gets 6.12 more inches of rain.
D: Miami gets 5.35 more inches of rain

Answers

The answer is 100% A

Miami gets 6.12 more inches of rain.

What is mean by Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

We have to given that;

The average rainfall in inches in Miami from January to May is 1.61, 2.24, 2.99, 3.15, 5.35, and 9.68

While it is 2.24, 2.8, 3.03, 2.05, 2.09, and 6.69 during the same period in Tampa.

Hence, For Miami;

= 1.61 + 2.24 + 2.99 + 3.15 + 5.35 +9.68

= 25.02

For Tampa;

= 2.24 + 2.8 + 3.03 + 2.05 + 2.09 + 6.69

= 18.90

Thus, Find difference as;

= 25.02 - 18.90

= 6.12

Therefore, Miami gets 6.12 more inches of rain.

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The price of a chocolate rose by 25%. By what% will it be reduced in order for the goods to be sold at the initial price?​

Answers

Let the price before increase be Rs.100
Then , as the tpercentage increase =25%
Therefore, increase in price =
100
25

×100
=Rs.25
Therefore increased price =Rs.125

Therefore the percentage by which house wife should decrease the consumption be(
125
25

×100)%
=20%

What is the ratio for tan (C)? (Hint: SOHCAHTOA)

What is the ratio for tan (C)? (Hint: SOHCAHTOA)

Answers

Answer:

D. 3/4

Step-by-step explanation:

tan(C) = opposite / adjacent = 3/4

Find the slope and y-intercept of the graph of the equation: y=9x+3

Answers

Answer:

slope is 9. intercept is (0,3)

Step-by-step explanation:

Find the slope and y-intercept of the graph of the equation: y=9x+3

(-1,1) and (1,5) write your answer in slope-intercept form

(-1,1) and (1,5) write your answer in slope-intercept form

Answers

Answer:

Slope (m) = 2
y = 2x

Step-by-step explanation:

Change in y / Change in x
-1 becomes 1 (positive)

1 + 1 = 2
1 - 5 = 4
4/2 = 2

y = 2x

Help me with this please

Help me with this please

Answers

Answer: the answer is  -5

Step-by-step explanation:

k

What mathematical term is used to designate a trapezoid (in the UK, a trapezium) having its two non-parallel sides of equal length? Such a shape is also sometimes referred to as a regular trapezoid?

Answers

The mathematical term used to designate a trapezoid (or trapezium in the UK) having its two non-parallel sides of equal length is an isosceles trapezoid.


The mathematical term used to designate a trapezoid having its two non-parallel sides of equal length is called an isosceles trapezoid or isosceles trapezium in the UK.

This shape is also sometimes referred to as a regular trapezoid, but the term "isosceles trapezoid" is more commonly used.

A trapezoid is a four-sided polygon that has two parallel sides and two non-parallel sides. The parallel sides of a trapezoid are called the bases, and the non-parallel sides are called the legs. The distance between the bases is called the height of the trapezoid.

The area of a trapezoid is given by:

Area = ((base1 + base2) x height) / 2

where base1 and base2 are the lengths of the two parallel sides, and height is the distance between the parallel sides.

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A bakery sold a total of 500 cupcakes in a day, and 93% of them were vanilla flavored. How many of the cupcakes sold that day were vanilla flavored?

Answers

I also got 465 lol. What grade are you all in?

Which is the best estimate for each expression?
24. 37% of 293
Answer choices: B. 120 C. 125 or D. 150
25. 4/5% of 192
Answer choices: A. 2 B. 8 C. 12 or D. 19

Answers

4/5% of 192 is approximately 1.536. The best estimate among the given answer choices is A. 2, which is the closest whole number to the actual value.

To find 37% of 293, we can start by using a proportion. We can set up the proportion as follows:

37/100 = x/293

To solve for x, we can cross-multiply and simplify:

37 x 293 = 100 x

x = 10841/100 ≈ 108.41

So, 37% of 293 is approximately 108.41. The best estimate among the given answer choices is B. 120, which is close to the actual value but slightly overestimated.

To find 4/5% of 192, we can first convert 4/5% to a decimal by dividing by 100:

4/5% = 4/5 ÷ 100 = 0.008

We can then multiply 0.008 by 192 to get the answer:

0.008 x 192 = 1.536

So, 4/5% of 192 is approximately 1.536. The best estimate among the given answer choices is A. 2, which is the closest whole number to the actual value. The other answer choices are too high and would overestimate the value.

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Name: Date: Period: Score: First attempt due: Practice Worksheet: Properties of Exponents Final corrections due: Simplify each expression completely using properties of exponents. Answers should have positive exponents only and all numbers evaluated, for example 5 3 = 125. Each set of problems will use the property listed above as well as a combination of properties attempted in previous sets. NEGATIVE EXPONENT AND ZERO EXPONENT PROPERTIES 1. ???? −7 = 2. (21c 18) −1 = 3. (3???? 2 ) 0 = 4. 5(x 0 )y −1 = PRODUCT OF POWERS PROPERTY 5. ???? 7???? 12 = 6. c 3 c 8 c −5 = 7. (2???? 7 )(−4???? 9???? 5 ) = 8. (9x 10y 3 )(−x 5y 3 ) = QUOTIENT OF POWERS PROPERTY 9. ???? 12 ????7 = 10. 6c 3 3c−5 = 11. 2???? 7 −4????9????5 = 12. 9x 10y 3 −x 5y3 = POWER OF A POWER PROPERTY 13. (???? 3 ) 4 = 14. (c −1 ) 3 = 15. (???? 5 ) −2 = 16. (6x 3y)(x 2 ) −2 = POWER OF A PRODUCT PROPERTY 17. (8???? 5 ) 2 = 18. (2c −1 ) −3 = 19. (−2???? 10) −2 = 20. (4x 2y 3 ) −2 (−x 10) 2 = POWER OF A QUOTIENT PROPERTY 21. ( ???? 2 ) 4 = 22. ( 25c −1 5 ) 2 = 23. ( −2???? 11???? 5 4????−2???? 2 ) 2 = 24. ( (−2x) 2 3xy2 ) 3 = MORE PRACTICE WITH MIXED PROPERTIES 25. ( ???? 2 ) 4 (8???? 5 ) 2 ????−1????10 = 26. ( 16c 6c −2 (2c 2) 3 ) −1 = 27. −2???? ????5 ( ???????? 5 −2???? 10) 2 = 28. ( (4x 2y 3) 0 −3x−1y2 ) 3 = BONUS QUESTIONS 29. ( 9 20 ???? 5 ) (2???? −2 ) ( 4 3 ???? 9 ) 30. 8(–m0???? 2) 3 (−???? 3) 2 m6????0(−2m−2????4) 3

Answers

The four basic properties of exponents are the negative exponent property, the product of powers property, the quotient of powers property, and the power of a power property.

The properties of exponents are a set of rules that allow us to simplify terms that contain exponents.

Negative exponent property states that when a negative exponent is present, the base and the exponent are switched and the sign of the exponent is changed. For example,  x-2 = 1/x2.

The product of powers property states that when two terms with the same base are multiplied, the exponents are added together. For example, x3 x4 = x7.

The quotient of powers property states that when two terms with the same base are divided, the exponents are subtracted. For example, x6/x2 = x4.

The power of a power property states that when a term with an exponent is raised to another power, the exponents are multiplied. For example, (x3)2 = x6.

These properties can be used to simplify expressions that contain exponents. For example, the expression (−2m−2????4) 3 can be simplified using the power of a power property by multiplying the exponents. The expression simplifies to −2m−6????12.

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After the first day, you counted how much money what do I do??
Here’s the question: you made for each type of baked good
sold so you could decide how much to bake for the next day. You made $22.50 from
cupcakes, $3.00 from macaroons, $10.00 from brownies, $3.00 from chocolate chip
cookies, and $7.00 from donuts.

Answers

this question doesn’t make sense?..

Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3


Help me please?

Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3Help

Answers

Answer:

y-2=1/3(x-3)

Step-by-step explanation:

Point slope formula: y-y1=m(x-x1)

m is slope.

y-2=1/3(x-3)

Hope this helps!

If not, I am sorry.

13 - (19,500 - (672 x 29)] = ​

Answers

Answer:

1

Step-by-step explanation:

im know it ive dine the problem 10 times

Mr. Darling went shopping for some new school clothes and wanted to use his credit card to earn points for his purchases. At the start of the day he owed $35.74 on his card and then bought two items that total $99.78. What is the new balance on Mr. Darling’s credit card?

Answers

Answer:

$135.52

Step-by-step explanation:

He already had a balance of 35.74 then he bought two items so

35.74+99.78=$135.52

use the dual simplex method to find a solution to the linear programming problem formed by adding the constraint 3xi 5x3> 15 to the problem in example 2.

Answers

Using the dual simplex method to find a solution to the linear programming problem formed by adding the constraint 3xi 5x3> 15 to the problem. The final solution is:
xi = 20
x2 = 0
x3 = 15
x4 = 0
x5 = 40

Adding the constraint 3xi + 5x3 > 15 does not affect the optimal solution, as none of the variables involved in the new constraint are in the basis. Therefore, the final solution remains the same.

To use the dual simplex method to find a solution to the linear programming problem formed by adding the constraint 3xi + 5x3 > 15 to the problem in example 2, we need to follow these steps:

1. Rewrite the problem in standard form by adding slack variables:
Maximize 4xi + 3x2 + 5x3
Subject to:
2xi + 3x2 + 4x3 + x4 = 60
3xi + 2x2 + x3 + x5 = 40
xi, x2, x3, x4, x5 >= 0

2. Calculate the initial feasible solution by setting all slack variables to 0:
xi = 0
x2 = 0
x3 = 0
x4 = 60
x5 = 40

3. Calculate the reduced costs of the variables:
c1 = 4 - 2/3x4 - 3/2x5
c2 = 3
c3 = 5 - 2/3x4 - 1/2x5
c4 = -2/3x1 - 1/2x2
c5 = -3/2x1 - 1/2x2

4. Choose the entering variable with the most negative reduced cost. In this case, it is x1.

5. Calculate the minimum ratio test for each constraint to determine the leaving variable:
For the first constraint: x4/2 = 30, x1/2 = 0, so x4 is the leaving variable.
For the second constraint: x5/3 = 40/3, x1/3 = 0, so x5 is the leaving variable.

6. Update the solution by performing the pivot operation:
- Pivot on x1 and x4 in the first constraint: x1 = 20, x4 = 0, x2 = 0, x3 = 15, x5 = 40/3
- Pivot on x1 and x5 in the second constraint: x1 = 0, x4 = 0, x2 = 0, x3 = 15, x5 = 40

7. Repeat steps 3-6 until all reduced costs are non-negative or all minimum ratio tests are negative.

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which of the following represents an exponential function

Answers

Answer:

what are the options

Step-by-step explanation:

A sketch artist sells on demand portraits and name doodles at the state fair. The artist has a personal maximum of 40 creations per day. With his current paper supply the artist is equipped to create up to 30 portraits and up to 20 name doodles. If the artists profit is $10 on each portrait and $20 on each name doodle, how many of each item should he aim to sell to maximize his profit?

Answers

Answer:

profit will be maximized by making 20 doodles and 20 paintings = ($10 x 20) + ($20 x 20) = $600

Step-by-step explanation:

we have to maximize the following equation:

$10P + $20D

where:

P = number of portraits

D = number of doodles

the constraints are:

P + D ≤ 40

P ≤ 30

D ≤ 20

we do not need to use solver or any other type of linear programming tool to solve this, since profit will be maximized by making 20 doodles and 20 paintings = ($10 x 20) + ($20 x 20) = $600

Which one is correct? int i = 3.0; float f = 4.5; byte b = 123456789; double d = 123456789; boolean b = 1;
double d = 123456789;

Answers

The correct statement is: double d = 123456789

In the given statements:

1. int i = 3.0; - This is incorrect because a decimal value (3.0) cannot be assigned directly to an integer variable. It should be assigned to a floating-point type variable instead.

2. float f = 4.5; - This is correct as a floating-point value (4.5) can be assigned to a float variable.

3. byte b = 123456789; - This is incorrect because the value 123456789 is outside the range of a byte (-128 to 127). It should be assigned to a data type with a larger range, such as into or long.

4. double d = 123456789; - This is correct as the value 123456789 can be assigned to a double variable.

5. boolean b = 1; - This is incorrect because the value 1 cannot be directly assigned to a boolean variable. It should be assigned with either true or false.

Among the given statements, the correct one is "double d = 123456789;", as it assigns the value 123456789 to a double variable.

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15 + 4 = 35
help me please'

Answers

Answer:

what dont you already got the answer

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

Explain why two variables must both be quantitative in order to find the correlation between them

Answers

If the variables are not quantitative we cannot do the arithmetic required in the formulas for r.

What is a variable?A variable in mathematics is a symbol and placeholder for a changing quantity or any mathematical object.A variable can specifically represent a number, a vector, a matrix, a function, a function's argument, a set, or an element of a set.

Quantitative order:

Quantitative methods emphasize objective measurements and statistical, mathematical, or numerical analysis of data gathered through polls, questionnaires, and surveys, as well as by manipulating pre-existing statistical data using computational techniques. Ordinal-level measurement data can be quantitative or qualitative. They can be arranged in ranked order, but differences between entries are meaningless. Measurement data at the interval level are quantitative. They can be arranged in any order, and meaningful differences between data entries can be calculated. We can't do the arithmetic required in the r formulas if the variables aren't quantitative.

Therefore, if the variables are not quantitative we cannot do the arithmetic required in the formulas for r.

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expression is equivalent to 7.659

Answers

The formula (7 + 6/10 + 5/100 + 9/1000) is equivalents to 7.659.

To get an expression that equals 7.659, we can use a variety of mathematical procedures and integers. Here's one possible phrase:

(7 + 6/10 + 5/100 + 9/1000)

In this formula, we divide the number 7.659 into four parts: 7 (the whole number component), 6 (the tenths place digit), 5 (the hundredths place digit), and 9 (the thousandths place digit).

We utilise the place value of each digit to transform these digits to fractions. The digit 6 denotes 6/10, the digit 5 denotes 5/100, and the digit 9 denotes 9/1000.

By multiplying these fractions by the whole number 7, we get the following expression:

7 + 6/10 + 5/100 + 9/1000

Let us now simplify this expression:7 + 0.6 + 0.05 + 0.009

The result of the addition is:

7 + 0.6 + 0.05 + 0.009 = 7.659

Since 7.659 is the result of the formula (7 + 6/10 + 5/100 + 9/1000), it follows that 7.659.

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What is the y-intercept of the line in the picture

What is the y-intercept of the line in the picture

Answers

Answer:

-2

Step-by-step explanation:

the y intercept would be -2. hope you do well:)
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