a=4pir^2 solving for pi

Therefore , the solution of the given problem of function comes out to be the duckweed to grow a mass triple the original size will be 45 hours.

The mathematics curriculum involves examining numbers, the equation the environment we live in, structures, and both actual and hypothetical locations. A function is a variable representation of the relationship between the quantities of intake and the corresponding outputs for each. Simply explained, a function is a collection of inputs that, when combined, provide unique outputs for each input.

Here,

Given :

mass of a population of duckweed is 500g

=>  function m(t)= 500x³^t/45

So,

=> t = 45 hours

Since it is given that the mass of the population of the duckweed triples every 45 hours

it is clear that the time taken for the duckweed to grow a mass triple the original size will be 45 hours .

Therefore , the solution of the given problem of function comes out to be the duckweed to grow a mass triple the original size will be 45 hours.

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Answer:

i think it's 1, but I don't know if I'm right

Answer:

1

Step-by-step explanation:

2/2 = 1

Answer:

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love

Step-by-step explanation:

Answer:

x = 5

x = 2

x = -6

Step-by-step explanation:

Use synthetic division to determine whether x – 4 is a factor of:

–2x5 + 6x4 + 10x3 – 6x2 – 9x + 4

For x – 4 to be a factor, you must have x = 4 as a zero. Using this information, I'll do the synthetic division with x = 4 as the test zero on the left:

completed division

Since the remainder is zero, then x = 4 is indeed a zero of –2x5 + 6x4 + 10x3 – 6x2 – 9x + 4, so:

Yes, x – 4 is a factor of –2x5 + 6x4 + 10x3 – 6x2 – 9x + 4

Find all the factors of 15x4 + x3 – 52x2 + 20x + 16 by using synthetic division.

Remember that, if x = a is a zero, then x – a is a factor. So use the Rational Roots Test (and maybe a quick graph) to find a good value to test for a zero (x-intercept). I'll try x = 1:

completed division

This division gives a zero remainder, so x = 1 must be a zero, which means that  x – 1 is a factor. Since I divided a linear factor (namely, x – 1) out of the original polynomial, then my result has to be a cubic: 15x3 + 16x2 – 36x – 16. So I need to find another zero before I can apply the Quadratic Formula. I'll try x = –2:

completed division

Since I got a zero remainder, then x = –2 is a zero, so x + 2 is a factor. Plus, I'm now down to a quadratic, 15x2 – 14x – 8, which happens to factor as:

(3x – 4)(5x + 2)

Then the fully-factored form of the original polynomial is:

15x4 + x3 – 52x2 + 20x + 16

= (x – 1)(x + 2)(3x – 4)(5x + 2)

Given that  x = -3 + sqrt(11)   is a zero of x4 + 6x3 – 7x2 – 30x + 10, fully solve the

equation x4 + 6x3 – 7x2 – 30x + 10 = 0.

Since they have given me one of the zeroes, I'll use synthetic division to divide it out:

completed division

(You will probably want to use scratch paper for the computations required when manipulating the radical root.) Copyright © Elizabeth Stapel 2002-2011 All Rights Reserved

Since you only get these square-root answers by using the Quadratic Formula, and since the square-root part of the Formula is preceded by a "plus-minus" sign, then these square-root answers must always come in pairs. Thus, if x = -3 + sqrt(11) is a root, then so also must x = -3 - sqrt(11) be a root. So my next step is to divide by x = -3 - sqrt(11):

completed division

I had started with a fourth-power polynomial. After the first division, I was left with a cubic (with very nasty coefficients!). After the second division, I'm now down to a quadratic (x2 + 0x – 5, or just x2 – 5), which I know how to solve:

x = +/- sqrt(5)

Then the full solution is:

x = -3 +/- sqrt(11), +/- sqrt(5)

If you have studied complex numbers, then you may see a problem of the following type.

Given that 2 – i is a zero of x5 – 6x4 + 11x3 – x2 – 14x + 5, fully solve the

equation  x5 – 6x4 + 11x3 – x2 – 14x + 5 = 0.

They have given us a zero, so I'll use synthetic division and divide out 2 – i:

completed division

(You will probably want to use scratch paper for the computations required when doing complex division.)

Recall that, to arrive at a zero of 2 – i, they must have used the Quadratic Formula, which always spits out complex answers in pairs. That is, you get the imaginary part (the part with the "i") from having a negative inside the "plus or minus square-root of" part of the Formula. This means that, since 2 – i is a zero, then 2 + i must also be a zero.  So I'll divide by 2 + i:

completed division

This leaves me with a cubic, so I'll need to find another zero on my own. (That is, I can't apply the Quadratic Formula yet.) I can use the Rational Roots Test to help find potential zeroes, and a quick graph of x3 – 2x2 – 2x + 1 can help. I will try x = –1:

completed division

Now I'm down to a quadratic (x2 – 3x + 1, which happens not to factor), so I'll apply the Quadratic Formula to get:

x = (3 +/- sqrt(5))/2

Then all the zeroes of x5 – 6x4 + 11x3 – x2 – 14x + 5 are given by:

x = 2 - i, 2 + i, (3 - sqrt(5))/2, (3 + sqrt(5))/2, -1

Answer: E

Step-by-step explanation:

remember that domain is x and range is y

people say "domain and range" and alphabetically, it is x and then y.

so domain and range. x and y. memorize this

the answer is E because y is the one that stays above -4

x is all real numbers according to the graph

just look at the graph and notice that the x values (the values on the left-to-right of the line, the horizontal line), are basically all the numbers.

but not the y values. the y values are on the up-and-down line

Answer: E

Step-by-step explanation:

Since the Domain is X

The graph moves on forever in the x axis thus it is all real numbers.

To create a single CircuitSim file with separate circuits for different hardware components using logic gates (AND, OR, NOT, XOR, NOR, NAND), follow these steps:

1. Open CircuitSim: Launch the CircuitSim application on your computer.
2. Create a new file: Click on 'File' in the menu bar, then select 'New' to create a new CircuitSim file.
3. Create separate circuits: To create separate circuits for each hardware component, click on 'Edit' in the menu bar, then select 'Add Circuit.' Give each circuit a unique name to represent the specific hardware component.
4. Design the circuits: For each circuit, use the provided logic gates (AND, OR, NOT, XOR, NOR, NAND) to design the hardware components. To add a logic gate, click on the corresponding gate icon in the toolbar, then click on the circuit to place it. Connect the input and output pins of the gates using wires.
5. Save the file: Once you've completed designing all the circuits, click on 'File' in the menu bar, then select 'Save' to save the single CircuitSim file with all the separate circuits.
Remember to maintain accuracy, professionalism, and friendliness when answering questions. Provide concise explanations, and ensure that your answer is factually correct.

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The probability that x is less than 6 is 5/8.

If x is a discrete uniform random variable ranging from one to eight, then each value from one to eight is equally likely to occur, and the probability of any particular value is 1/8.

To find p(x < 6), we need to add up the probabilities of all the values of x that are less than 6:

p(x < 6) = p(x = 1) + p(x = 2) + p(x = 3) + p(x = 4) + p(x = 5)

Since x is a discrete uniform random variable, the probability of each of these values is 1/8, so we can substitute that into the equation:

p(x < 6) = (1/8) + (1/8) + (1/8) + (1/8) + (1/8)

Simplifying, we get:

p(x < 6) = 5/8

Therefore, the probability that x is less than 6 is 5/8.

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At the upper triple point, solid graphite, liquid carbon, and gaseous carbon dioxide coexist in equilibrium.

In a phase diagram for carbon, the upper triple point represents a specific combination of temperature and pressure where all three phases of carbon—solid (graphite), liquid (carbon), and gas (carbon dioxide)—coexist in equilibrium.

At this point, there is a delicate balance between the three phases, and any deviation from the exact temperature and pressure values would cause one or more phases to dominate.

The upper triple point is a unique set of conditions where solid graphite, liquid carbon, and gaseous carbon dioxide can exist simultaneously.

It's important to note that the precise values of temperature and pressure at the upper triple point may vary depending on the specific phase diagram being referenced.

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The data point that has the strongest association of its two factors is Ratio of those who like Hamburgers but not burritos

A) The percentage of respondents who do not like both hamburgers and burritos is; 33/250 * 100% = 16.09%

B) Marginal relative frequency of all customers that like hamburgers will be the ratio of the sum of the customers that like hamburgers to the total number of respondents. Thus;

MRF = 134/205 = 0.65

C) Let us first find the ratio of all the four data with the total;

Ratio of those who like Hamburgers and burritos = 39/134 = 0.29

Ratio of those who like Hamburgers but not burritos = 95/134 = 0.71

Ratio of those who like burritos but not Hamburgers = 38/71 = 0.53

Ratio of those who do not like burritos or Hamburgers = 33/71 = 0.47

Thus, The data point that has the strongest association of its two factors is Ratio of those who like Hamburgers but not burritos

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Considering the definition of probability, the probability that the smoke will be detected by either a or b or both is 99%.

Probability is the greater or lesser possibility that a certain event will occur.

In other words, the probability is the possibility that a phenomenon or an event will happen, given certain circumstances. It is expressed as a percentage.

The union of events AUB is the event formed by all the elements of A and B. That is, the event AUB is verified when one of the two, A or B, or both occurs.

The probability of the union of two compatible events is calculated as the sum of their probabilities subtracting the probability of their intersection:

P(A∪B)= P(A) + P(B) -P(A∩B)

where the intersection of events A∩B is the event formed by all the elements that are, at the same time, from A and B. That is, the event A∩B is verified when A and B occur simultaneously.

In first place, let's define the following events:

Then you know:

Considering the definition of union of eventes, the probability that the smoke will be detected by either a or b or both is calculated as:

P(A∪B)= P(A) + P(B) -P(A∩B)

P(A∪B)= 0.95 + 0.98 -0.94

P(A∪B)= 0.99= 99%

Finally, the probability that the smoke will be detected by either a or b or both is 99%.

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Answer:

C

Step-by-step explanation:

When you multiply -1(x+8)(x+7)

                                 (-x-8)(x+7)

                                  -x(x+7)-8(x+7)

                                   \(-x^{2}-15x-56\)

Answer:

y=x-12x (times -12x or -12x)

Step-by-step explanation:

you can notice that if you do -1 x -12 you get 12

0 x -12 is 0

1 x -12 is 12 and so on

Answer:

B - yes

Step-by-step explanation:

If (n - 9) is a factor then when evaluated at n = 9, if the result is zero then it is a factor of the polynomial, that is

9³ + 9² - 84(9) - 54

= 729 + 81 - 756 - 54

= 0

Since the result is zero then (n - 9) is a factor of the polynomial

Answer:

  7

Step-by-step explanation:

You want the common difference of the arithmetic sequence that starts ...

  15, 22, 29, ...

The common difference is the difference between a term and the one before. It is "common" because the difference is the same for all successive term pairs.

  22 -15 = 7

  29 -22 = 7

The common difference is 7.

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Answer:

Important: 3

6

looks like a fraction, but it is actually an improper fraction.

There is an infinity number of equivalent fractions to 3

6

.

To find an equivalent fraction to 3

6

, or to any other fraction, you just need to multiply (or divide, if the fraction is not yet reduced), both the numerator and the denominator of the given fraction by any non-zero natural number. For example:

By dividing the original fraction by 3, we get:

3 ÷ 3

6 ÷ 3

= 1

2

By multiplying the original fraction by 2, we get:

3 × 2

6 × 2

= 6

12

Step-by-step explanation:

The combined area of the two plots of land is 13,600 yd² and the graph is plotted below with dimensions.

You must multiply the length by the width in order to determine the area of a rectangular plot. We can calculate the rectangle's area is:

Area = Length × Width

From the given graph a rectangular plot of land shaped with sides of length 60 yards and 40 yards.

To graph the another identical plot, first move 140 yards east to from point H to G and then 80 yards north from point G to F. We can label the corners of the identical plot EFGH as below graph.

The area of each plot is:

First plot area = 60 yards × 40 yards = 2400 square yards

Second plot area = 140 yards × 80 yards = 11,200 square yards

Total area: (2400 + 11,200) square yards = 13,600 square yards

Therefore, the combined area of the two plots of land is 13,600 yd²

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Answer:

The average is 5.41666667 degrees.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

15x+30y−220

Step-by-step explanation:

hope this helps

The area of the right triangular puppy pen found using the formula 1/2(b.h²) is 4900.90 feet².

What is a triangle?

A polygon with three edges and three vertices is called a triangle. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total. A right triangle is a specific kind of triangle that has one angle that is exactly 90 degrees.

Given,

 The length of OY = 12 feet

The length of DY = 31 feet

m∠OYD = 65°

Since SDOG is a rectangle, m∠DOY = 90°.

So the ΔDOY is a right triangle.

Area of right triangle = 1/2 * b * h²

where b = base length

          h = height

From the given figure,

b = OY = 12

h = OD

h can be found using Pythagoras' theorem.

DY² = OD² + OY²

OD² = DY² - OY² = 31² - 12²  = 817

OD = √817 = 28.58 feet = h

Therefore the area of the right triangle ΔDOY is

area =  1/2 * b * h² = 0.5 * 12 *28.58² = 4900.90 feet².  

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The solution to the equation is x = 15.5.

To solve the equation:

log base₂ (10x+5) - log base₂ 5 = 5

To make it simpler, we can use logarithmic properties.

Let's first use the quotient rule of logarithms to combine the two logarithms on the left side of the equation.

log baseₐ (b) - log baseₐ (c) = log baseₐ (b / c):

log base₂ [(10x+5) / 5] = 5

The equation can then be transformed into exponential form.

Log baseₐ (b) = c is similar to \(a^c = b\) in exponential notation. Here are the facts:

2⁵ = (10x+5) / 5

32 = (10x+5) / 5

32 × 5 = 10x + 5

160 = 10x + 5

160 - 5 = 10x

155 = 10x

x = 155 / 10

x = 15.5

Therefore, the solution to the equation is x = 15.5.

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To determine the probability of an event where both dice are odd, let's first list all the possible odd numbers on a die: {1, 3, 5}.

Probability is a measure of the likelihood or chance that a particular event will occur. It is expressed as a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain to occur.

Now, let's find all the combinations of two dice showing odd numbers:

1. (1, 1) 2. (1, 3) 3. (1, 5) 4. (3, 1) 5. (3, 3) 6. (3, 5) 7. (5, 1) 8. (5, 3) 9. (5, 5)

There are a total of 9 combinations where both dice show odd numbers.

So, the size of the set that corresponds to the event that both dice are odd is 9.

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Answer:

-5y - 8.3xy

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define

y(-5 - 8.3x)

Step 2: Expand

Step-by-step explanation:

(x,y)=(-x,-y)

(0,-1)=(-0,1)

Answer:

yes

Step-by-step explanation:

if we divide both terms of 60 and 45 by 15, we can simplify it to 4:3.

Step-by-step explanation:

as this is total 90°angle

68°+x = 90 °

x = 90°-68°

x = 22 °

also

68° + 22 ° = 90 °

Answer:

90 - 68 = 22

the whole angle is 90

if we substract 68 from 90 , we will get the answer.

Answer:

range of the function f(x) = 23/1082 {x| all real numbers}; {yly >0} O {x| all real numbers}; {yl y 2 0} O {x|x>0}; {yl all ...

The domain and range of the function f ( x ) is {x all real numbers}; {yl y >0}

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 2( ∛108 )²ˣ

The domain of the function is all real numbers because there are no restrictions on the variable x.

To find the range, we can simplify the function as follows:

f(x) = 2(∛108)²ˣ

f(x) = 2(6)²ˣ

f(x) = 2(36)ˣ

f(x) = 72ˣ

Since 72ˣ is always positive, the range of the function is {y: y > 0}.

Hence , the domain and range is solved and = {x ∈ R : x ∈ R }, {y ∈ R: y > 0}

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The complete question is attached below :

Determine the domain and range of the function f(x) = 2( ∛108 )²ˣ

O {x all real numbers}; {yl y >0}

O x all real numbers}; {yl y ≥ 0}

O {xx>0}: {yl all real numbers}

O x x ≥ 0}; {yl all real numbers}

a) To recommend a sample size of 62.

b) To recommend a sample size of 43.

To determine the sample size required to estimate the average ounces of milk consumed per resident in the state of Texas with a 95% confidence level and a margin of error not to exceed +/- 0.5 ounces, we can use the following formula:

n = \([(Z\alpha/2 \times \sigma) / E]^2\)

Where:

n = sample size

\(Z\alpha/2\) = the critical value for the desired level of confidence (95%) which is 1.96

σ = the population standard deviation (4 ounces)

E = the margin of error (0.5 ounces)

Substituting these values into the formula, we get:

n = \([(1.96 \times 4) / 0.5]^2\) = 61.6

Since we cannot have a fractional sample size, we can round up to the nearest whole number.

To recommend a sample size of 62.

To double the level of precision and increase the level of confidence to 99%, we can use the same formula as above, but with a different critical value for the desired level of confidence (99%), which is 2.576.

n = \([(Z\alpha/2 \times \sigma) / E]^2\)

n =\([(2.576 \times 4) / 1]^2\)= 42.43

Rounding up to the nearest whole number, we would recommend a sample size of 43.

To achieve a higher level of confidence and double the level of precision, we would need a smaller sample size of 43 as compared to the sample size of 62 required for a 95% confidence level with a margin of error of +/- 0.5 ounces.

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Answer:

The selling price of sandals is: $32.77

Step-by-step explanation:

Mark up is the price that is added to the cost price of a product for profit.

Given

Price of sandals = $22.60

Mark up = 45%

To find the price with mark up, we will find the amount of mark up and then add it to the cost price of sandals.

\(Mark\ up = 45\%\ of\ 22.60\\= 0.45*22.60\\=10.17\)

The mark up is $10.17

Now,

\(Selling\ price = Cost + mark\ up\\= 22.60+10.17\\=32.77\)

Hence,

The selling price of sandals is: $32.77