which shows the best use of the associative and commutative properties to make simplifying 2/7 - 17 + 6 - 5/7 + 1 easier?

A 5% increase in the radius of a blood vessel would lead to an approximate 0.2kR3 increase in the flux of blood.

The relative change in flux (F) due to a change in radius (R) can be calculated using Poiseuille's Law. Using the equation F=kR4, we can take the derivative with respect to R and obtain dF/dR = 4kR3. This tells us that the relative change in flux is approximately four times the relative change in radius.

For example, if the radius of a blood vessel increases by 5%, then the relative change in radius is 0.05. Using the equation above, the relative change in flux would be 4 x (0.05) x kR3 = 0.2kR3. In other words, the flux would increase by approximately 0.2kR3.

Therefore, a 5% increase in the radius of a blood vessel would lead to an approximate 0.2kR3 increase in the flux of blood.

Learn more about radius here:

https://brainly.com/question/30106091

#SPJ4

Answer:

43046721/1

Step-by-step explanation:

9^2 * 9^6

81(531441)= 43046721

(if interpreted correctly, not sure what you mean by fraction form since the answer is a whole number)

could be written as 43046721/1

Answer:

No

Explanation:

The unit rates are not the same.

Pearson correlation coefficient r for the data is approximately 0.915. Since the value is positive and close to 1, we can say that there is a strong positive correlation between the number of times the commercial is run on TV and the number of car sales.

What is expression ?

In mathematics, an expression is a combination of numbers, symbols, and operators (such as +, -, ×, ÷) that represents a value or a quantity. It can be a single number or variable, or a combination of them, and can also include functions, parentheses, and other mathematical symbols. For example, 3x + 7 is an expression, where 3 and 7 are constants, x is a variable, and + is an operator. Expressions can be simplified, evaluated, or used as part of a larger mathematical statement or equation.

We can use the formula for Pearson correlation coefficient r to calculate it for the given data:

r = (nΣXY - ΣXΣY) / sqrt[(nΣX² - (ΣX)²)(nΣY² - (ΣY)²)]

where n is the number of observations, Σ represents the sum of the indicated values, and X and Y represent the two variables being correlated. Using the data from the table, we can calculate the following:

n = 5

ΣX = 25, ΣY = 25.8

ΣX² = 275, ΣY² = 288.68

ΣXY = 139.2

Substituting these values into the formula, we get:

\($r = (5 * 139.2 - 25 * 25.8) \sqrt{[(5 * 275 - 25^2)(5 * 288.68 - 25.8^2)]} $\)

r ≈ 0.915

Therefore, the Pearson correlation coefficient r for the data is approximately 0.915. Since the value is positive and close to 1, we can say that there is a strong positive correlation between the number of times the commercial is run on TV and the number of car sales.

To know more about expression visit :

https://brainly.com/question/1859113

#SPJ1

Answer:

50 + 5w + 20m The constant is 50. A cofficient is 5 and another is 20. A variable is W and another is M.

Step-by-step explanation:hope this helps

Answer:

The final price of the television set is $ 20,520.

Step-by-step explanation:

Given that King Monatla surprised his wife on birthday by buying her a 55 inch television set, and the repayment period is 36 months and the monthly installment is $ 570.00, to determine the final price of the television set the following calculation must be performed:

570 x 36 = X

20.520 = X

Therefore, the final price of the television set is $ 20,520.

Answer:

Step-by-step explanation:

a) (72 + 78 + 80 + 85 + 85 + 92 + 96) / 7 = 588 / 7 = 84  mean

b) (72 + 78 + 80 + 85 + 85 + 92 + 96)                         85  median

     1       2      3      4       3       2     1

c) (72 + 78 + 80 + 85 + 85 + 92 + 96)                          85 mode

    1        1       1           2           1       1

d) the sum of the difference of median and scores is greater below the median than it is above the median

e)  (588 + 100) / (7 + 1)    =    688/8     =                      86

We know that 1 yard is equivalent to 3 feet.

So, to find the number of yards equivalent to 3 3/4 ft (3.75 ft), we use the following proportion

Now, we solve for x

The amount of dry ingredients used in the cake recipe is approximately 7 cups.

We have,

3 ½ cups of flour, 2 ⅔ cups of sugar, and 1 ¾ cups of cocoa.

Now, first convert all quantity in same unit.

3 ½ cups of flour

= 3 cups + 0.5 cups

= 3 cups and 8 ounces.

and, 2 ⅔ cups of sugar

= 2 cups + 0.67 cups,

= 2 cups and 10.72 ounces.

and, 1 ¾ cups of cocoa

=1 cup + 0.75 cups

= 1 cup and 12 ounces.

So, the total amount

= 3 cups and 8 ounces + 2 cups and 10.72 ounces + 1 cup and 12 ounces = 6 cups and 14.72 ounces

= 7 cups

Therefore, the amount of dry ingredients used in the cake recipe is approximately 7 cups.

Learn more about Unit Conversion here:

https://brainly.com/question/19420601

#SPJ1

Answer

Measure the shape yourself and follow the explanation.

Step-by-step explanation:

Measure each side of the Triangles with your ruler. Record it.

For example,

I measured and got 3cm, 3.5cm, 3.5cm.

Multiply by scale factor r 2.

for example, 3cm × 2 = 6cm

3.5cm × 2 = 7.0cm

3.5cm × 2 = 7.0cm

Use your pencil to draw your new numbers to form the new Triangle.

As for the second shape, measure each four sides using ruler

for example, I measured and had 4cm, 6cm, 4cm, 6m.

Multiply by scale factor r 2.

for example, 4cm × 1/4 = 1 cm

6cm × 1/4 = 1.5cm

4cm × 1/4 = 1 cm

6cm × 1/4 = 1.5cm

Use your ruler to measure 1cm, 1.5cm, 1cm and 1.5cm, then to draw your new shape

Answer: The answer is  (A)

Step-by-step explanation:

The function is continuous in the domain x ≥ 3/4

Here we have a root function:

f(x) = ⁴√(4x - 3)

This is an even degree root function, so we have problems when the argument is negative.

Then the allowed values (where the function is defined, and thus, continuous) are:

4x - 3 ≥ 0

4x ≥ 3

x ≥ 3/4

There the function is continuous.

Learn more about continuous functions at:

https://brainly.com/question/18102431

#SPJ1

Answer:

p ∨ q

Step-by-step explanation:

I took the test and got a 100

The correct statement for the shape being a rectangle is p ∨ q

Any figure bounded by 3 sides and sum of all the internal angles is 180° is called a triangle.

Any figure bounded by four sides, where the opposite sides are equal and all the internal angles are 90° is called a rectangle

As we know a triangle cannot have four sides, so p cannot imply q and vice versa.

According to the problem,

This is a contradiction.

So for the shape being a rectangle the correct option will be p v q(p intersection q)

Find more about "Boolean Mathematics" here: https://brainly.com/question/6060950

#SPJ2

Answer:

No

Step-by-step explanation:

10 is not less than 6, so 10 < r when r=6 is not true.

Answer:

C

Step-by-step explanation:

x^2-16 is the same as (x+4)(x-4) so the answer is C

Answer:

120

Step-by-step explanation:

8 x 5 is 40, so he can do 5 times more then what he can do in an 8 hour workday, which is 120. I hope you understand, and have a great rest of your day. :)

The correct option regarding the operations with scientific notation is given as follows:

B) Because numbers written in scientific notation have exponents, you can use the Laws of Exponents to multiply or divide the numbers.

A number in scientific notation is given by:

\(a \times 10^b\)

With the base being \(a \in [1, 10)\).

An example of a multiplication in scientific notation is:

\(2 \times 10^3 \times 3 \times 10^5 = 6 \times 10^{3 + 5} = 6 \times 10^8\)

That is, we multiply the factors, and for the bases of 10, we keep the bases and add the exponents. In a division, we would divide the factors, and for the base of 10, we keep the base and subtract the exponents.

That is, since the numbers have exponents, rules of exponents are used for both multiplication and division, and option b is correct.

More can be learned about scientific notation at https://brainly.com/question/16394306

#SPJ1

Answer:

- 108

Step-by-step explanation:

Substitute s = - 3 into the expression

- 3 | 15 - (- 3) | + 2(- 3)³

= - 3 | 15 + 3 | + 2(- 27)

= - 3 | 18 | - 54

= - 3 × 18 - 54

= - 54 - 54

= - 108

Yes, she did buy additional carrot seed. No, the total number of seeds was 1120. No, the total price is $171. She did buy more maize and beans than carrots.

Multiplication is one of the four basic mathematical operations of arithmetic, along with addition, subtraction, and division. A product is the outcome of a multiplication operation. Multiplication is a way of calculating the product of two or more integers in mathematics. It is one of the most fundamental mathematical operations that we utilize every day. When we multiply two numbers, the result is known as the product. The multiplicand is the number of items in each group, and the multiplier is the number of such equal groupings. In our situation, the multiplicand is, the multiplier is, and the product is 6.

Here,

Beans=12*40

=480

cost of beans=12*5

=$60

Carrot=15*36

=540

cost of carrot=15*7

=$105

Corn=2*50

=100

cost of corn=2*3

=$6

Total seeds=1120

Total cost=$171

Yes she bought more of carrot seed. No the total seeds was 1120. No the total cost is $171. Yes she bought more corn and beans than carrot.

To know more about multiplication,

https://brainly.com/question/14852806

#SPJ1

There are countless possibilities for shapes that are similar but not congruent to shape 1, as long as they maintain the same proportions and shape.

There are many shapes that are similar but not congruent to shape 1. Similar shapes have the same shape, but their sizes may be different. In contrast, congruent shapes have the same shape and size.

One example of a similar shape to shape 1 is a rectangle that is twice as long and half as wide. Another example could be a square that is three times larger in area than shape 1.

A parallelogram that has the same base as shape 1 but is three times as tall is also similar but not congruent.

To learn more about : congruent

https://brainly.com/question/29789999

#SPJ8

Answer:

B).

Step-by-step explanation:

Add 8 to half the difference of 6 and 2 then subtract 1.

Answer:

I apologize but I haven't worked for an answer. but my mind is, what is the point of this question? everyone is familiar with the "when am I ever going to use this in life and why do I need to learn this?" but this is a whole new level of w t f.

The variance of Billy's grades obtained from his test scores is 15.76

The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.

The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;

The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2

The square of the differences of the values from the mean can be calculated as follows;

(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84

The sum of the square of the differences is therefore;

0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8

Learn more on the variance of a set of data here: https://brainly.com/question/30701163

#SPJ1

Using the quadratic functions, the equations that can be used to determine whether the paths of the boats cross is:

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

For the first boat, the vertex is (1,10), hence h = 1, k = 10, and the equation is:

y = a(x - 1)² + 10.

When x = -8, y = 1, hence the leading coefficient is found as follows:

1 = 81a + 10

a = -1/9.

Then:

y1 = -1/9(x - 1)² + 10.

For the second boat, the vertex is (0,-7), hence h = 0, k = -7, and the equation is:

y = ax² - 7

When x = -8, y = 1, hence the leading coefficient is found as follows:

1 = 64a - 7

a = 8/64

a = 1/8

Hence:

y2 = 1/8x² - 7.

Then the system is:

Thus:

More can be learned about quadratic functions at https://brainly.com/question/24737967

#SPJ1

Answer:

When a 3D figure is cut to create a cross-section parallel to the base, the direction of the perpendicular is vertical. This means that the cross-section will be perpendicular to the base and will have a vertical orientation.

The values nearest to these middle elements are 60 and 63 inches.

The dataset is given as:

62 33 50 90 80 50 40 70 50 63 74 53 55 64 60 60 78 70 43 82

Then, we sort the information elements in ascending request

33 40 43 50 50 50 53 55 60 60 62 63 64 70 70 74 78 80 82 90

The length of the dataset is 20.

Thus, the elements at the middle are the tenth and the 11 elements.

From the arranged dataset, these elements are: 60 and 62

Thus, the values nearest to this median are 60 and 63

to know more about the median click here:

https://brainly.com/question/14532771

#SPJ1

The two figures show equivalent graphs because:

A. The graphs have several edges that match the number of vertices.

B. The graphs have the same number of edges.

C. The vertices are connected in the same way.

D. The graphs have the same number of vertices.

The third equivalent graph is at option D.

The graphs that have the same number of vertices connected in the same way are called equivalent graphs. If they are connected in the same way then their count of edges will be the same for both graphs. They are also said to be isomorphic graphs.

The given graphs have
Graph1: vertices BCJK

Graph2: vertices BCJK

So, there is the same number of vertices for both graphs.

The connection between the vertices:

Graph1: J - B - C - K - B

Graph2: J - B - C - K - B

So, they are connected in the same way.

The edges formed by these vertices:

Graph1: JB; BC; CK; KB

Graph2: JB; BC; CK; KB

So, there is the same number of edges for both graphs.

Here the number of edges = the number of vertices i.e., (4 = 4)

From all these comparisons, the given graphs are equivalent.

The third equivalent graph made from these graphs is at option D in the diagram attached below.

Learn more about equivalent graphs here:

https://brainly.com/question/16260079

#SPJ9

Disclaimer: The given question is incomplete. There is no image attached in the given question. Here the image is attached.

Answer:

Step-by-step explanation:

Given : ∠1 ≅ ∠2

To prove : p║q

Solution :

In the figure attached,

               Statements                 Reasons

1). m∠1 ≅ m∠2                      1). Given

2) m∠1 ≅ m∠3                      2). Vertical angles

3) m∠2 ≅ m∠3                     3). Transitive property of congruence of the                                                     angles

4). Line p║q                         4). Corr

Answer:

6.8

Step-by-step explanation:

To round 6.752 to the nearest tenth consider the hundredths’ value of 6.752, which is 5 and equal or more than 5. Therefore, the tenths value of 6.752 increases by 1 to 8.

The 28th element in the one-dimensional array A[49], A[50]... A[100) is A[77].

As the array starts at A[49] and the index of the 28th element is m=28. In other words, the 28th element is the element located at index m + 49, which is A[77].

To explain further, the index of an array is the position of an element in the array. In this case, the index of the 28th element is m=28. This means that the 28th element is located at index m, or 28. However, since the array starts at A[49], we need to add 49 to m to get the correct index of the 28th element, which is 77. Therefore, the 28th element is A[77].

For more questions like Array index click the link below:

https://brainly.com/question/29979088

#SPJ4