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.

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

Answer:

fyificidixgxxtxgxggxfxgxgxgxgoogogogox

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

Miami gets 6.12 more inches of rain.

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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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 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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Answer:

Step-by-step explanation:

Answer:

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

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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Answer:

D. 3/4

Step-by-step explanation:

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

Answer:

slope is 9. intercept is (0,3)

Step-by-step explanation:

Answer: the answer is  -5

Step-by-step explanation:

k

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.

Answer:

1

Step-by-step explanation:

im know it ive dine the problem 10 times

Answer:

what dont you already got the answer

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

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,∞).

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

Answer:

The answer is 9

Step-by-step explanation:

The answer is 9

Answer:

what are the options

Step-by-step explanation:

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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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

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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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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Answer:

-2

Step-by-step explanation:

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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Answer:

Step-by-step explanation:

C

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

Quantitative order:

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

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