Clark used a digital thermometer to check the internal temperature of a roasting turkey. The thermometer read 168 °F, and its reading is accurate within 2.7 °F. Which temperature falls within this range? A 165.8 °F B 165.1 °F C 171.0 °F D 172.7 °F

As per the area of parallelogram, the number of required tile is approximately 5.

The term area of parallelogram is calculated by using the general formula, that can be written as

A = b x h

where b refers the base and h refers the height of parallelogram.

Here we have given that a flooring tile has the shape of a parallelogram whole base is 24 cm and the corresponding height is 10 cm.

Then the area of the parallelogram is calculated as,

=> A = 24 x 10

Then the resulting value is

=> A = 240.

Here we have given that the total given area of the floor is 1080 sq.cm.

Then the required number of tiles is calculated by dividing the terms, then we get,

=> 1080/240

=> 4.5

Therefore, approximately 5 tiles are required.

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Answer:-2.3,11.,11.,-0.25 or  x2 - 10x - 25- -5

Step-by-step explanation:

u just go in a TI-nspire CX calculator and type in in how it looks

Answer:

16

Step-by-step explanation:

we need to find how many servings can be made out of 12cups of lemonade if each serving is 3/4th of a cup . For that you just need to divide the total quantity of lemonade with each serving as ,

= 12 ÷ 3/4

= 12 * 4/3

= 4*4

= 16

And we are done!

Answer:

x = 3 - 2 (3)

Step-by-step explanation:

.

Among these expressions, (4+1)x(12-6) has a total value of 30.

To determine which expression has a total value of 30, let's evaluate each expression one by one:

4+1x12-6

Following the order of operations (PEMDAS/BODMAS), we first do the multiplication:

4 + (1x12) - 6 = 4 + 12 - 6

Now, we do the addition and subtraction from left to right:

16 - 6 = 10

(4+1x12-6)

This expression has the same operations as the first one, so its total value is also 10.

(4+1)x(12-6)

First, we evaluate the expressions within the parentheses:

(5)x(6)

Now, we do the multiplication:

5 x 6 = 30

(4+1)x12-6

First, we evaluate the expression within the parentheses:

(5)x12 - 6

Now, we do the multiplication:

60 - 6

Finally, we do the subtraction:

54
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after subtracting and simplifying the expression ( 2 x⁴ + 5 x³ - 8 ) - ( 9 x ² - 8 x + 8 ), we get the result as 2 x⁴ + 5 x³ - 9 x² + 8 x - 16.

We are given an expression:

( 2 x⁴ + 5 x³ - 8 ) - ( 9 x ² - 8 x + 8 )

We need to subtract the expression and simplify the result.

We get that:

Subtracting the expression, we get that:

2 x⁴ + 5 x³ - 8 - 9 x ² + 8 x - 8

Simplifying the expression, we get that:

= 2 x⁴ + 5 x³ - 9 x² + 8 x - 16

Therefore, after subtracting and simplifying the expression ( 2 x⁴ + 5 x³ - 8 ) - ( 9 x ² - 8 x + 8 ), we get the result as 2 x⁴ + 5 x³ - 9 x² + 8 x - 16.

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\

Overall, building a theory is a complex process that requires careful planning, attention to detail, and a willingness to remain open to alternative explanations and interpretations.

An important first step when building a theory is to formulate a clear and testable research question or hypothesis. A research question or hypothesis is a statement that suggests a relationship between two or more variables, and it guides the development of the theory. The research question or hypothesis should be specific, measurable, and falsifiable, meaning that it can be tested and potentially proven false through empirical research. Once a clear research question or hypothesis has been formulated, the researcher can then begin to gather and analyze data to support or refute the theory.

Another important first step when building a theory is to conduct a comprehensive review of existing literature and research in the field. This review helps the researcher to identify gaps or inconsistencies in current knowledge and to develop a clear understanding of the state of the field. This step can also help the researcher to refine their research question or hypothesis, as well as to identify potential variables and relationships that may be relevant to the theory.

Another important step when building a theory is to select an appropriate research design and methodology that will allow for the systematic collection and analysis of data. The research design should be aligned with the research question or hypothesis, and should enable the researcher to collect high-quality data that can be analyzed using appropriate statistical or qualitative methods.

In addition, it is important to be mindful of potential biases that can impact the development of a theory, such as confirmation bias or researcher bias. It is important for the researcher to be objective and to consider all possible explanations for their data, rather than solely seeking out evidence that supports their hypothesis or preconceived ideas.

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Answer:

20 for walking and 40 for running

Step-by-step explanation:

let x be walking and 2x be running because he spent twice time on running than walking.

Answer: bill walks for 30 minuets and runs for 30 minutes

Step-by-step explanation:

30x2=60

Answer:

Step-by-step explanation:

can you add ur question so I can help

Answer: option A and D results in 3 significant figures.

Step-by-step explanation:

A. \(101 - 83.4 =17.6\)

The number 17.6 has three significant figures.

B. \(121 - 1.75 =119.25\)

The number 119.25 has 5 significant figures

C. \(7.23 + 12.6=19.83\)

The number of 19.83 has 4 significant figures.

D. \(17\cdot 1.5=25.5\)

The number of 25.5 has 3 significant figures.

Hence, option A and D results in 3 significant figures.

Answer:

its positive 5 a negative divided by a negative is a positive

Step-by-step explanation:

Answer:

Positive 5

Step-by-step explanation:

a negative divided by a negative or a negative multiplied by a negative will always equal a positive. This equation is equal to 15 divided by 3 which is equal to 5.

The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile.

Answer: (2,7)

Midpoint formula = (\(\frac{x1+x2}{2}\) , \(\frac{y1+y2}{2}\))

1 + 3 / 2 = 2

5 + 9 / 2 = 7

Answer:

The coordinates of point C' are (4, -2)

here's why:

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y). So if we use this information with the original coordinates, (-4, -2), the new coordinates will be (4, -2).

Answer:

f(x)=5-x

Step-by-step explanation:

The probability distribution for rolling each number on the weighted die is : P(1) = 1/10, P(2) = 1/10, P(3) = 1/10, P(4) = 1/10, P(5) = 3/10, P(6) = 3/10

The probability distribution of a weighted die can be determined by assigning probabilities to each outcome based on their relative likelihood.

In this case, the numbers 5 and 6 are three times as likely to occur as the other numbers. The probability distribution will reflect this weighting, with higher probabilities assigned to 5 and 6.

Let's denote the probabilities of rolling each number as P(1), P(2), P(3), P(4), P(5), and P(6).

We know that the probabilities of rolling 5 and 6 are three times as likely as the other numbers.

This means that P(5) = 3P(1), P(6) = 3P(1), P(2) = P(1), P(3) = P(1), and P(4) = P(1).

To determine the value of P(1), we use the fact that the sum of all probabilities must equal 1.

Since there are six possible outcomes, we have:

P(1) + P(1) + P(1) + P(1) + 3P(1) + 3P(1) = 1

Simplifying the equation, we get:

10P(1) = 1

Therefore, P(1) = 1/10.

Using this value, we can calculate the probabilities for the other numbers:

P(1) = 1/10

P(2) = P(1) = 1/10

P(3) = P(1) = 1/10

P(4) = P(1) = 1/10

P(5) = 3P(1) = 3/10

P(6) = 3P(1) = 3/10

So, the probability distribution for rolling each number on the weighted die is as follows:

P(1) = 1/10

P(2) = 1/10

P(3) = 1/10

P(4) = 1/10

P(5) = 3/10

P(6) = 3/10

This distribution reflects the fact that 5 and 6 are three times as likely to come up as each of the other numbers.

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(1.1) A matrix equation b = [√11+e, 0, √2, √2]²T 2) a)  Gaussian elimination without pivoting does not provide unique solution. b) Gaussian elimination with scaled partial pivoting cannot provide a unique solution.(c) Basic LU decomposition is x = [0.788, -3.12, 0.167, 4.55]²T.

The given linear system can be written in matrix form as:

A × x = b

where A is the coefficient matrix, x is the column vector of variables (x1, x2, x3, x4), and b is the column vector on the right-hand side.

The coefficient matrix A is:

A = [[0, -e, √2, -√3],

[π², e, -e², 3/7],

[√5, -√6, 1, -√2],

[π³, e², -√7, -1/9]]

The variable vector x is:

x = [x1, x2, x3, x4]²T

The right-hand side vector b is:

b = [√11+e, 0, √2, √2]²T

(1.2) Solving the system using:

(a) Gaussian elimination without pivoting:

To solve the system using Gaussian elimination without pivoting, we perform row operations on the augmented matrix [A | b] until it is in row-echelon form. Then back-substitute to find the values of x.

The augmented matrix [A | b] is:

[0, -e, √2, -√3 | √11+e]

[π², e, -e², 3/7 | 0]

[√5, -√6, 1, -√2 | √2]

[π³, e², -√7, -1/9 | √2]

Performing row operations, the row-echelon form:

[π², e, -e², 3/7 | 0]

[0, -e, √2, -√3 | √11+e]

[0, 0, 0, 0 | 0]

[0, 0, 0, 0 | 0]

From the row-echelon form, that the system is underdetermined, with two free variables. Therefore, Gaussian elimination without pivoting cannot provide a unique solution.

(b) Gaussian elimination with scaled partial pivoting:

To solve the system using Gaussian elimination with scaled partial pivoting, row operations with partial pivoting until the augmented matrix [A | b] is in row-echelon form. Then back-substitute to find the values of x.

The augmented matrix [A | b] is:

[0, -e, √2, -√3 | √11+e]

[π², e, -e², 3/7 | 0]

[√5, -√6, 1, -√2 | √2]

[π³, e², -√7, -1/9 | √2]

Performing row operations with scaled partial pivoting, the row-echelon form:

[π³, e², -√7, -1/9 | √2]

[0, -e, √2, -√3 | √11+e]

[0, 0, -0.03, -1.02 | 0.027]

[0, 0, 0, 0 | 0]

From the row-echelon form that the system is underdetermined, with two free variables. Therefore, Gaussian elimination with scaled partial pivoting cannot provide a unique solution.

(c) Basic LU decomposition:

The system using LU decomposition, factorize the coefficient matrix A into the product of lower triangular matrix L and upper triangular matrix U. Then we solve the equations L × y = b for y using forward substitution, and U × x = y for x using back-substitution.

The coefficient matrix A is:

A = [[0, -e, √2, -√3],

[π², e, -e², 3/7],

[√5, -√6, 1, -√2],

[π³, e², -√7, -1/9]]

Performing LU decomposition,

L = [[1, 0, 0, 0],

[π², 1, 0, 0],

[√5, 0.3128, 1, 0],

[π³, 4.3626, 2.4179, 1]]

U = [[0, -e, √2, -√3],

[0, e + π², -e² + e × π², 3/7 - e × √2],

[0, 0, 0.9693, -0.3651],

[0, 0, 0, -2.2377]]

Solving L × y = b for y using forward substitution:

[1, 0, 0, 0] ×y = √11+e

[π^2, 1, 0, 0] × y = 0

[√5, 0.3128, 1, 0] × y = √2

[π^3, 4.3626, 2.4179, 1] × y = √2

Solving the above equations,

y = [0.788, -3.12, 0.167, 4.55]²T

Now, solving U × x = y for x using back-substitution:

[0, -e, √2, -√3] × x = 0.788

[0, e + π², -e² + e × π², 3/7 - e ×√2]× x = -3.12

[0, 0, 0.9693, -0.3651] ×x = 0.167

[0, 0, 0, -2.2377] ×x = 4.55

Solving the above equations,

x = [0.788, -3.12, 0.167, 4.55]²T

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Answer:

Step-by-step explanation:

Answer: D) subtract one x block from the left side and subtract two numbered blocks from the right side

Step-by-step explanation:

The solution to the given equation 2sin2x = 1 − cos x on the interval [0, 2π) as required is; Choice D; x equals 0 comma 2 times pi over 3 comma 4 times pi over 3.

It follows from the task content that the solutions to the given equation be determined.

On this note, since the give equation is;

2sin²x = 1 − cos x on the interval [0, 2π).

Recall sin²x = 1 − cos²x; therefore we have that;

2 - 2cos²x = 1 - cos x

2cos²x - cos x - 1 = 0.

let y = cos x so that we have;

2y² - y - 1 = 0

x = 1 or x = -1/2.

Therefore; cos x = 1 or cos x = -1/2.

Ultimately, the values of x in the given interval are; 0, 2π/3, 4π/3.

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Answer:

Negative

Step-by-step explanation:

Years of Factoring:

What the problem tells us is that we have:

X^2 - 4x - 3

or something along these lines. If we factor this we get:

(X-4)(X+1)

The bigger inside factor has to be negative for these problems, because the third term is negative.

The sum of the middle term must give a negative value.

A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given that If the middle term of a quadratic trinomial is negative and the last term is negative then the sum of the middle terms must give a negative value.

What the problem tells us is that we have:

x² - 4x - 3

Something along these lines. If we factor this we get:

(x-4)(x+1)

The bigger inside factor has to be negative for these problems because the third term is negative.

Therefore, the sum of the middle term must give a negative value.

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Answer

Solved Calculus AB, Semester 2 Assignment: Applications of ...

The population of a bacteria culture increases at the rate of 3 times the square root of the present population.

The value of x based on the triangle is 7 cm.

From the given figure, we know that the two corresponding lines are parallel and so the two given triangles are congruent to each other.

Therefore, the corresponding sides of these triangles will also be proportional so we can write it as:

5 / 45 = 3 / 2x + 10

10x + 65 = 135

Collect the like terms

10x = 135 - 65.

10x = 70

Divide

x = 70 / 10

x = 7

Therefore, the value of x is 7 cm.

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Answer:2.94

Step-by-step explanation:2.80*1.05=2.94

Answer:

5

Step-by-step explanation:

The values of the function when the piecewise function is given h(-7)=4,h(-2)=4,h(4)=12 and h(6)=14.

Given that,

The piecewise function are

h(x)=\(\left \{ {{-3x-11, for x < -7} \atop {4,for -7\leq x < 4 \atop {x+8, for x\geq 4}} } \right.\)

We have to find the values of the function h(-7), h(-2),h(4) and h(6).

A function with different definitions at different intervals of x is known as a piecewise function, or f(x). Each section of the graph of a piecewise function corresponds to one of the definitions. The absolute value function is an excellent example of a piecewise function.

Take the function

h(-7)

-7 only satisfy in the function h(x)=4 for -7≤x<4

So,

h(-7)=4

Take the function

h(-2)

-2 satisfy the function h(x)=4 for -7≤x<4

So,

h(-2)=4

Take the function

h(4)

4 only satisfy in the function h(x)=x+8 for x≥4

h(4)=4+8=12

h(4)=12

Take the function

h(6)

6 only satisfy in the function h(x)=x+8 for x≥4

h(6)=6+8=14

h(6)=14

Therefore, The values of the function when the piecewise function is given h(-7)=4,h(-2)=4,h(4)=12 and h(6)=14.

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Answer:

19

Step-by-step explanation:

\(\sqrt{8300} = 91.1043\)

row x columns = total

91 x 91 = 8281 plants

8300 - 8281 = 19 plants left out of arrangement

The answer is A ! :))