If I have a room that is 4 by 4 , and I am pucrchasing tiles that are 1/3x1/3, calculate the number of tiles needed to cover the area in square meters. Show math please The room is in sqaure meters, and the tiles are in meters

The least possible positive integer value of n is 18.

Zero, a positive natural number, or a negative integer with a minus sign are all examples of integers. The additive inverses of the positive numbers are the negative numbers.

let x denote the number of adults. since the no. of adults is equal to the no. of children we can say that,

a single bench can hold either 7 adults or 11 children, so

\(N = \frac{x}{7} + \frac{x}{11}\)

\(N = \frac{18x}{77}\)

according to the question both N and x have to be positive integers, therefore x has to be equal to 77. and therefore N = 18.

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Given:

The expression is \(10 - (-6)\).

Sam's calculation is \(10 - (-6) = 10 + (-6) = 4\)

To find:

Whether Sam's thinking correct or not.

Solution:

We have,

\(10 - (-6) = 10+6\)       \([\because (-)(-)=(+)]\)

\(10 - (-6) = 16\)

\(10 - (-6) \neq 4\)

Therefore, Sam's thinking was incorrect.

On number first we have to move 10 units from 0 in positive direction after that negative sign means move in left direction.

But we have 2 negative signs so we need to move 6 units more on positive or right direct as shown below.

Answer:

A. -13

Step-by-step explanation:

y - (-5) is the same as y + 5

x - 8 = y + 5; you then subtract 5 from both sides

x - 13 = y

The survival time of a 60kg deer without food at -20 degrees Celsius depends on various factors, including its age, sex, and physical condition. However, assuming the deer is healthy and has 5kg of fat, it could potentially survive for around 30 to 50 days without food.

The exact survival time can vary depending on several factors, such as the deer's level of physical activity, environmental conditions, and how much energy it is expending to stay warm in the cold temperature. Additionally, if the deer is able to find sources of water, this can also increase its chances of survival.

It's important to note that this is just an estimate and that the actual survival time may vary. If the deer is injured or sick, its chances of survival may be reduced, and it may not be able to survive as long without food.

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Complete Question

How many days could a 60kg deer survive without food at -20 degrees Celsius if it has 5kg of fat?

Answer:

B im pretty sure

Step-by-step explanation:

The solution to the logarithmic equation 4 - log(3 - x) = 3 is x = 2. To solve the equation, we'll first isolate the logarithmic term. Subtracting 3 from both sides, we have 1 - log(3 - x) = 0.

Next, we can rewrite the equation in exponential form. The logarithmic equation log(base b)(x) = y is equivalent to b^y = x. Applying this, we get 10^0 = 3 - x, simplifying to 1 = 3 - x. Subtracting 3 from both sides, we have -2 = -x. Multiplying both sides by -1, we find x = 2. Therefore, the solution to the equation is x = 2.

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Answer:

Circle

Explanation:

I just took the test and got it right.

a. the current daily revenue is $364.50.

b. revenue would increase by $36.86 if 94 lawn chairs were sold each day.

c. the marginal revenue when 90 lawn chairs are sold daily is $22.90.

d.  $433.20.

a) To find the current daily revenue, we need to plug in x = 90 into the given revenue function:

R(90) = 0.005(90)³ + 0.03(90)² + 0.4(90)
= 364.5

Therefore, the current daily revenue is $364.50.

b) To find the increase in revenue if 94 lawn chairs were sold each day, we need to subtract the current revenue from the revenue at x = 94:

R(94) = 0.005(94)³ + 0.03(94)² + 0.4(94)
= 401.36

Revenue increase = R(94) - R(90)
= 401.36 - 364.5
= $36.86 (rounded to the nearest cent)

Therefore, revenue would increase by $36.86 if 94 lawn chairs were sold each day.

c) The marginal revenue is the derivative of the revenue function with respect to x, evaluated at x = 90:

R'(x) = 0.015x² + 0.06x + 0.4
Marginal revenue at x = 90:
R'(90) = 0.015(90)² + 0.06(90) + 0.4
= $22.90

Therefore, the marginal revenue when 90 lawn chairs are sold daily is $22.90.

d) To estimate R(91), R(92), and R(93), we can use the marginal revenue calculated in part (c):

R(91) ≈ R(90) + R'(90)(1)
= 364.5 + 22.9
= $387.40

R(92) ≈ R(90) + R'(90)(2)
= 364.5 + 2(22.9)
= $410.30

R(93) ≈ R(90) + R'(90)(3)
= 364.5 + 3(22.9)
= $433.20

Therefore, R(91) ≈ $387.40, R(92) ≈ $410.30, and R(93) ≈ $433.20.

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The association between daytime temperature and nighttime temperature is a statistical association because it is based on analyzing data using statistical methods.

Specifically, the correlation coefficient is often used to quantify the strength and direction of the relationship between two variables, such as daytime and nighttime temperatures.

A positive correlation coefficient indicates a positive association, meaning that as one variable increases, the other variable also tends to increase. A negative correlation coefficient indicates a negative association, meaning that as one variable increases, the other variable tends to decrease.

However, it's important to note that statistical associations do not necessarily imply causation. In the case of daytime and nighttime temperatures, while there is a strong statistical association, this does not necessarily mean that changes in daytime temperatures cause changes in nighttime temperatures or vice versa. Other factors, such as atmospheric conditions, can also play a role in determining both daytime and nighttime temperatures.

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Answer:

0.00006

Step-by-step explanation:

Standard notation has no multiplication or exponents. It is the real number represented by the scientific notation. Writing something in standard notation from scientific notation requires moving the decimal point. In the number 6, the decimal point is after 6. Since 10 is raised to the power of -5, you should move the decimal point 5 places to the left (putting zeros in any empty place). This creates the number 0.00006.

Answer:

The initial amount in the account is $333.33

Step-by-step explanation:

Here, we want to calculate the initial amount in the account.

Let the initial amount be $x

Mathematically;

Simple interest = PRT/100

where P is the amount deposited = $x

R is the rate = 10%

T is the time = 5 years

Simple interest = Present amount - Principal = $(500-x)

By substituting;

500-x = (x * 10 * 5)/100

100(500-x) = 50x

50,000 - 100x = 50x

50,000 = 100x + 50x

150x = 50,000

x = 50,000/150

x = 333.33333333

Which to the nearest penny ; x = $333.33

It gradually decreases as alcohol is metabolized. The function C(t)=0.135 t e^{-2.802 t}models the mean BAC measured in g/mL.

The maximum average BAC during 3 hours is 0.0001358 g/mL.

f(t) = α t e−βt --(1)

Let's rewrite this in a simple form:

f(t)= α eˡⁿ ᵗ e⁻βt = αe^(ln t −βt)

Since e^x is strictly increasing and it will be maximized exactly when its argument is maximized, so we can maximize instead:

g(t)=ln t −βt

differentiating with respect to t , and g'(t) = 0

g′(t)=1/t − β = 0

=> t =1/β

we have given a function

C(t)=0.135 t e⁻²·⁸⁰²ᵗ

if we compare it with (1) we get

β = 2.802, 0.135 = α

For it's maximized we need to check the second order condition, and that of g will differentiate again , g′′(t)= −1/t² < 0

We have to compute the derivative of C(t):

C′(t) = 0.135 t⋅(−2.802)e⁻²·⁸⁰²ᵗ + 1.35e⁻²·⁸⁰²ᵗ

For optimum at t₀ if C′(t₀)=0 and C′′(t₀)≠0. Here, we have

C′(t₀) = 0.135t₀⋅(−2.802)e⁻²·⁸⁰²ᵗ₀+ 0.135e⁻²·⁸⁰²ᵗ₀ =e⁻²·⁸⁰²ᵗ₀(−0.135* 2.802t₀+ 0.135)=0

It is clear that e⁻²·⁸⁰²ᵗ₀ not equal to zero for all t₀∈R, so that

=> −0.135* 2.802t₀+0.135=0

=> t₀ = 1/2.802 ≈0.36

let us consider t is in hours, so that it makes t₀ =0.36h≈21.41min. This is the only optimum and one should verify it is indeed a maximum, i.e. C′′(t₀)<0.

Now, easily compute the maximum average BAC, which is C(t₀)=C(0.36) = 0.135 (0.36)e⁻²·⁸⁰²⁽⁰·³⁶⁾

= 0.0486(0.3678) = 0.01787508

Hence, the maximum average BAC, is 0.017 g/dL.

Maximum average BAC during the first 3 hours,

t = 3 , C(t)=C(3) = 0.135 (3)e⁻²·⁸⁰²⁽³⁾ = 0.0001358 g/mL

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Answer:

8x+8???

Step-by-step explanation:

The image of the parallelogram which is larger than the preimage,

indicates that the scale factor is larger than 1.

Correct response:

The scale factor is found by finding the ratio of the corresponding sides.

The possible given diagram in the question is a parallelogram FGHJ

dilated to form the similar parallelogram, F'G'H'J'.

The length of side FG = -2 - (-4) = 2

The length of side F'G' = 3 - (-5) = 8

Which gives;

\(The \ scale \ factor = \dfrac{8}{2} = 4\)

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Answer:

C) 4

Step-by-step explanation:

Answer:

\(\frac{31}{-8n}\)

Step-by-step explanation:

Overall, the expression is a quotient, and you're dividing 31 by whatever the product is of -8 and an unknown number (a variable). The product of -8 and a number means you multiply them together

Answer:

2 and 3.

Step-by-step explanation:

5.5 would be between t and 6, not 2 and 3. Answer is 2 and 3

Answer:

pretty sure it's 56 I could be wrong though

The probability of X being greater than Y is equal to 1 minus the probability of X being less than or equal to Y multiplied by the probability of Y being less than or equal to X, which can be expressed as 1 minus (1 - e^(-(λ1 + λ2)t))/2, or e^(-(λ1 + λ2)t)/2.

P(X > Y) = 1 - P(X ≤ Y) = 1 - (1 - e^(-(λ1 + λ2)t))/2 = e^(-(λ1 + λ2)t)/2

1. P(X > Y) = 1 - P(X ≤ Y)

2. P(X ≤ Y) = P(X ≤ Y ∩ Y ≤ X)

3. P(X ≤ Y ∩ Y ≤ X) = P(X ≤ Y)P(Y ≤ X) (Since X and Y are independent)

4. P(X ≤ Y) = 1 - P(X > Y)

5. P(Y ≤ X) = 1 - P(Y > X)

6. P(X > Y) = 1 - P(X ≤ Y)P(Y ≤ X)

7. P(X > Y) = 1 - (1 - e^(-(λ1 + λ2)t))/2

8. P(X > Y) = e^(-(λ1 + λ2)t)/2

The probability of X being greater than Y is equal to 1 minus the probability of X being less than or equal to Y. Since X and Y are independent, the probability of X being less than or equal to Y and Y being less than or equal to X is equal to the product of the probabilities of X being less than or equal to Y and Y being less than or equal to X. The probability of X being less than or equal to Y is equal to 1 minus the probability of X being greater than Y, and the probability of Y being less than or equal to X is equal to 1 minus the probability of Y being greater than X. Therefore, the probability of X being greater than Y is equal to 1 minus the probability of X being less than or equal to Y multiplied by the probability of Y being less than or equal to X, which can be expressed as 1 minus \((1 - e^(-(λ1 + λ2)t))/2, or e^(-(λ1 + λ2)t)/2.\)

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Answer:

x = 23

Step-by-step explanation:

3x + 50 = 6x - 19 (Vertically Opposite Angles)

=> 6x - 19 = 3x + 50

=> 6x - 3x = 50 + 19

=> 3x = 69

=> x = 69/3

=> x = 23

Answer:

Mean = 4

Step-by-step explanation:

Mean = sum of numbers over total amount of numbers.

2 + 4 + 7 + 1 + 6 = 20

We have 5 numbers

20/5 = 4

Answer:

4

Step-by-step explanation:

In order to find the mean all you have to do is add all the number up and divide by how many numbers there are.

so 2+4+7+1+6 = 20/5 = 4

5 x 4 = 20

The Law of Sines often yields better results due to its broader applicability and flexibility in solving trigonometric problems involving non-right triangles. The Law of Cosines is also reliable, especially when the lengths of sides are known. The Law of Tangents has limited use and is typically employed in specific right triangle scenarios.

To compare the results of the verification of the Law of Sines, Law of Cosines, and Law of Tangents, we can create a table showcasing the findings and analyze which law had better results:

Law               |                         Results                                |                             Accuracy

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

Law of Sines      |  Satisfied for various triangle scenarios   | Dependent on angle and side accuracy

Law of Cosines   | Satisfied for various triangle scenarios   | Dependent on side accuracy

Law of Tangents | Satisfied for specific triangle scenarios   | Dependent on angle accuracy

The Law of Sines may often have better results because it is applicable to a broader range of triangle scenarios, allowing for more flexibility in solving trigonometric problems. It is useful when working with non-right triangles, as it relates the ratios of angles to the ratios of opposite sides. However, it heavily relies on the accuracy of both angles and sides for precise calculations.

The Law of Cosines, while also effective in various triangle scenarios, is particularly useful for solving triangles when the lengths of all three sides are known or when an angle and the lengths of two sides are known. It is less dependent on angle accuracy but relies more on side accuracy.

The Law of Tangents has more limited applicability and is primarily used when dealing with right triangles. It relates the tangent of an angle to the ratios of sides, but its usage is not as widespread as the other two laws.

The Law of Sines and the Law of Cosines generally yield satisfactory results for various triangle scenarios. However, their accuracy can vary depending on the accuracy of angles and sides. The Law of Tangents, on the other hand, is more limited in its application, as it only applies to specific triangle scenarios.

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Answer:

\(6x + 6x + 6 + x = 13x + 6\)

Using the same guideline, for a four-credit class, you would ideally spend:

4 credits * 2-3 hours/credit = 8-12 hours per week.

it is suggested that students allocate around 2-3 hours of study time per credit hour per week for a college-level course. However, the actual study time required may vary based on individual learning styles, prior knowledge, and the specific requirements set by professors or institutions.

Let's apply this general guideline to your scenario:

One three-credit class that is less demanding:

Assuming 2-3 hours of study per credit hour, for a three-credit class, you would ideally spend:

3 credits * 2-3 hours/credit = 6-9 hours per week.

Two three-credit classes that are typically demanding:

Similarly, for each of the two three-credit classes, you would spend:

3 credits * 2-3 hours/credit = 6-9 hours per week.

Since you have two such classes, the total time would be:

2 * (6-9) hours = 12-18 hours per week.

One four-credit class that is very challenging:

Using the same guideline, for a four-credit class, you would ideally spend:

4 credits * 2-3 hours/credit = 8-12 hours per week.

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Answer:

11 months

Step-by-step explanation:

185 - 20 = 165

165 ÷ 15 = 11

The probability of the total being less than or equal to 4 when rolling two six-sided fair dice is 1/12.

To calculate the probability, we need to determine the favorable outcomes and the total number of possible outcomes. The favorable outcomes are the combinations that result in a total less than or equal to 4: (1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (3, 1). The total number of possible outcomes is 6 x 6 = 36, as each die has 6 sides. Therefore, the probability is calculated as the ratio of favorable outcomes to total outcomes: 6/36 = 1/6. However, since we want the total to be less than or equal to 4, we exclude (3, 3) from the favorable outcomes.

Hence, the final probability is 5/36. The probability of the total being less than or equal to 4 when rolling two six-sided fair dice is 1/12 or approximately 0.0833.

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Answer:

a) 2L + 2W = 42

b) L = 2W + 3

c) The system is :

2L + 2W = 42

L - 2W = 3

( add the two equations )

3L + (2w - 2w) = 45

3L = 45

L = 45/3

L = 15 ( Length )

L - 2W = 3

15 - 2W = 3

2W = 15 - 3

W = 12/2

W = 6

Answer:

hope this works

Step-by-step explanation:

A1-x= 5

A2-x= 9

A3-x= 4

A4-x= -5

B1-x= 11

B2-x= 21

B3-x= 2

B4-x= -8

C1-x= 6

C2-x= 7

C3-x= 22/3 or 7.33

C4-x= 4.5

D1-x= 14

D2-x= 30

D3-x= 24

D4-x= 108

1) r= 10

2) n= -4

3) p= -9

4) r= 6

5) k= -4

6) n= 15

Using trigonometric functions, we can find the value of w to be = 9.688cm.

The right triangle's angle serves as the domain input value for the six fundamental trigonometric operations, which return a range of numbers as their output. The angle, expressed in degrees or radians, is the domain of the trigonometric function of f(x) = sin, also referred to as the "trig function," and its range is [-1, 1]. In terms of their domain and scope, the other functions are comparable. Algebra, geometry, and calculus all make extensive use of trigonometric functions.

Here in the question,

We have a right-angled triangle.

Basse of the triangle = 8√3cm.

It's an isosceles triangle.

So, cos45° = w/8√3

⇒ 0.70 = w/8√3

Cross multiplying:

⇒ w = 0.70 × 8√3

⇒ w = 9.688 cm.

Therefore, the measure of the length of the side w = 9.688cm.

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