If Savannah increases her protein intake from 45g to 54g in order to stay competitive in volleyball. What is the percentage increase of her protein intake?

Answer: Once the Acadians refused to sign an oath of allegiance to Britain, which would make them loyal to the crown, the British Lieutenant Governor, Charles Lawrence, as well as the Nova Scotia Council on July 28, 1755 made the decision to deport the Acadians. The Expulsion (1755–1764) occurred during the French and Indian War (the North American theatre of the Seven Years' War) and was part of the British military campaign against New France. The British first deported Acadians to the Thirteen Colonies, and after 1758 transported additional Acadians to France. When the French and Indian War began in 1754, the British government, doubting the neutrality of the Acadians, demanded that they take an oath of allegiance to the Crown. ... British Governor Charles Lawrence decided to deport the Acadians from Nova Scotia without giving his colleagues any notice. They migrated to Louisiana because they had better fishing grounds, its territory controlled the gulf of St. Lawrence, and shipping routes and British colonies along the Atlantic coast.

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

8x - 3x = 35

5x = 35

x = 7

Answer:

7

8x - x+x+x =35

8x-3x=35

5x=35

x=7

Here's a Scheme function that checks whether a matrix is symmetric or not:

```scheme

(define (is-symmetric-matrix matrix)

 (define (get-element matrix i j)

   (if (null? matrix)

       #f

       (if (= i 0)

           (if (null? (car matrix))

               #f

               (if (= j 0)

                   (car (car matrix))

                   (get-element (cdr matrix) i (- j 1))))

           (get-element (cdr matrix) (- i 1) j))))

 (define (is-matrix-symmetric-helper matrix i j)

   (if (null? matrix)

       #t

       (if (equal? (get-element matrix i j)

                   (get-element matrix j i))

           (is-matrix-symmetric-helper matrix i (+ j 1))

           #f)))

 (if (null? matrix)

     #t

     (is-matrix-symmetric-helper matrix 0 0)))

```

The function `is-symmetric-matrix` takes a matrix as an input, which is represented as a list of lists. It uses a helper function called `is-matrix-symmetric-helper` to compare each element of the matrix with its corresponding element in the transposed position. The `get-element` function is used to retrieve the element at position `(i, j)` in the matrix.

The `is-matrix-symmetric-helper` function recursively iterates over the matrix, comparing each element with its transposed element. If any pair of corresponding elements is found to be different, it immediately returns `#f` (False), indicating that the matrix is not symmetric. If it reaches the end of the matrix without finding any differences, it returns `#t` (True), indicating that the matrix is symmetric.

Finally, the main `is-symmetric-matrix` function first checks if the matrix is empty. If it is, it immediately returns `#t` since an empty matrix is considered symmetric. Otherwise, it calls the helper function with the initial indices `(0, 0)` and returns its result.

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Answer:

Similar to the question: They figure that they will drive 792 miles round trip. If their car gets 25 miles per gallon and the current cost of gasoline is $2.35, what will the gas for their trip cost? $74.45 George is taking the same trip to San Antonio (792 miles)

Step-by-step explanation:

Hope it helps :)

Answer:

Step-by-step explanation:

3m=-3

m=1

Answer:

m = -1

Step-by-step explanation:

3m + 4 = 1

subtract 4 from each side of the equation:

3m + 4 - 4 = 1 - 4

3m = -3

divide both sides by 3:

3m/3 = -3/3

m = -1

Answer:

(k/5)+12 represents the question described

The required equation is 12 + k/5.

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now the given statement is,

12 more than quotient of a number k and 5

Converting them into numerical form,

quotient of a number k and 5 = k/5

Therefore 12 more than quotient of a number k and 5 is written as,

12 + k/5

this is the required equation for the given statement.

Thus, the required equation is 12 + k/5.

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Answer:

78125

Step-by-step explanation:

5x5x5=125

5x5=25

25x125=3125

3125x25=78125

I think this is the answer

The approximate number of bacteria after 16 hours is 60 bacteria ,Option C is the right answer.

A function is a Mathematical statement which connects a dependent variable and an independent variable.

The graph shows the  the growth rate of a certain bacteria in a lab

the number of bacteria is on the y axis and

the number of hours is on the x axis

The function is continuous ,

From the graph the approximate number of bacteria after 16 hours is

60 bacteria

Therefore Option C is the right answer.

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Answer:

y = -x - 5

Step-by-step explanation:

Because the graph always has a consistent slope of +2, the table x|y-2| 4|0| 6|2| is an illustration of a linear function table.

In order for a table to represent a linear function, there must be a constant rate of change (slope) between any two points on the graph. In other words, the relationship between the x-values and y-values should follow a consistent pattern.

The correct table that represents a linear function is: x|y-2| 4|0| 6|2|This is because there is a constant rate of change of +2 between any two points on the graph. For example, when x goes from 2 to 4, y increases from -2 to 0. When x goes from 4 to 6, y increases from 0 to 2.

This constant rate of change indicates that the relationship between x and y is linear.

In summary, a table represents a linear function when there is a constant rate of change between any two points on the graph. The table x|y-2| 4|0| 6|2| is an example of a linear function table because there is a consistent slope of +2 between any two points on the graph.

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312 minutes the participant took to complete the marathon

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding.

According to the question,

The time taken by participant to complete a marathon in hours = 5.2 hours

1 hour contains 60 minutes

so, to change hours into minutes , we have to multiple hours into 60

Time taken  by participant to complete a marathon in minutes = 5.2 × 60

=> 312 minutes

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The worst approximation of p(x) to r(x) is at x = 0, where the vertical distance between the two functions is maximized.

a) The softplus function, \(p(x) = log(1 + e^x)\), approximates the rectifier function, r(x), well for both positive and negative values of x because it satisfies the properties mentioned: p(x) > r(x) for all x.

For positive values of x, the softplus function increases monotonically and asymptotically approaches x as x becomes large. This behavior aligns with the rectifier function, which is equal to x for x ≥ 0. As x approaches positive infinity, p(x) closely approximates r(x) because the logarithmic term in p(x) becomes negligible compared to \(e^x\).

For negative values of x, p(x) approaches 0 as x becomes more negative. This is consistent with the behavior of r(x), which is equal to 0 for x < 0. Thus, p(x) approximates r(x) well in the negative region as it approaches the correct value of 0.

Overall, the softplus function captures the essential characteristics of the rectifier function by smoothly transitioning from 0 to x for x ≥ 0.

b) The swish function, \(S(x) = x / (1 + e^(-x)),\) approximates the rectifier function, r(x), well for large positive and negative values of x. The property mentioned, S(x) ≤ r(x) for all x, ensures that the swish function never overestimates the rectifier function.

For large positive values of x, the exponential term e^(-x) in S(x) approaches 0, and the function approaches x/(1 + 0) = x. This matches the behavior of r(x), which is equal to x for x ≥ 0. Hence, the swish function approximates the rectifier function well in the positive region for large x.

For large negative values of x, the exponential term e^(-x) dominates the denominator, causing S(x) to approach 0. This aligns with the behavior of r(x), which is equal to 0 for x < 0. Therefore, the swish function approximates the rectifier function well in the negative region for large x.

In summary, the swish function captures the essential characteristics of the rectifier function for large positive and negative values of x, without overestimating it.

2) The worst approximation of p(x) to r(x) occurs near the point where the vertical distance between the two functions is maximized. Since p(x) > r(x) for all x, the vertical distance between the two functions is always positive.

To determine the point of maximum vertical distance, we need to find where p(x) - r(x) is maximized. The function p(x) - r(x) represents the vertical difference between the softplus function and the rectifier function.

Considering the properties p(x) > r(x) and s(x) ≤ r(x) for all x, we can infer that the worst approximation occurs where the rectifier function has a steep slope or a sharp corner, i.e., at x = 0. At x = 0, the rectifier function transitions abruptly from 0 to x. Since the softplus function is continuous and smooth, it gradually approximates this transition, resulting in a vertical distance between the two functions.

Hence, the worst approximation of p(x) to r(x) is at x = 0, where the vertical distance between the two functions is maximized.

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Answer:

I think! 3.5 feet wide

Step-by-step explanation:

the area of the pool is 240 square feet. divide by 68 square feet gives you 3.539= 3.5 feet wide. dont shoot me if I'm wrong lol

The width of the deck is approximately 2.65 feet.

To solve the problem, we need to first find the total area of the pool and deck combined, and then subtract the area of the pool to find the area of the deck.

The total area of the pool and deck can be represented as follows:

(12 + 2x) x (20 + 2x)

where x is the width of the deck.

The area of the pool is:

12 x 20 = 240

So, the area of the deck can be found by subtracting the area of the pool from the total area:

(12 + 2x) x  (20 + 2x) - 240 = 68

Expanding the left side and simplifying, we get:

4x²+ 64x - 208 = 0

Dividing both sides by 4, we get:

x²+ 16x - 52 = 0

Using the quadratic formula, we get:

x = (-b ± √(b² - 4ac)) / 2a

Where a = 1, b = 16, and c = -52.

Plugging in these values, we get:

x = (-16 ± √(16² - 4(1)(-52))) / 2(1)

x = (-16 ± √(960)) / 2

x = (-16 ± 4√(15)) / 2

x = -8 ± 2√(15)

Since the width of the deck cannot be negative, we can discard the negative solution, and we are left with:

x = -8 + 2√(15)

So, the width of the deck is approximately 2.65 feet.

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A) V = 2 B) Midpoint of each subdivision to use as the sample point: For the x-values: 7, 9, 11 For the y-values: 9, 11 To estimate the volume of the solid using the Midpoint Rule, we need to divide the given region into smaller rectangular boxes and calculate the volume of each box.

The Midpoint Rule considers the midpoint of each box as the sample point for calculating the volume. Given: m = 3 (number of subdivisions along the x-axis) n = 2 (number of subdivisions along the y-axis)

The width of each subdivision along the x-axis is Δx = (12 - 6) / 3 = 2. The width of each subdivision along the y-axis is Δy = (12 - 8) / 2 = 2. Now, let's calculate the volume of each rectangular box and sum them up to estimate the total volume of the solid.

First, we calculate the volume of each rectangular box: Volume of each box = Δx * Δy * height Since the height of the solid is not given in the problem, we need additional information to calculate the exact volume. Without the height information, we cannot provide a precise numerical value for the volume of the Riemann sum.

However, we can still explain the steps involved in using the Midpoint Rule to estimate the volume. Next, we calculate the midpoint of each subdivision to use as the sample point: For the x-values: 7, 9, 11 For the y-values: 9, 11

Using the midpoint and the dimensions of each subdivision, we can calculate the volume of each rectangular box. Finally, we sum up the volumes of all the rectangular boxes to estimate the total volume of the solid.

Please note that without the height information or further specifications about the solid, we cannot provide a numerical value for the volume using the Midpoint Rule in this case.

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The two-column proofs that line segments AC ≅ EC are shown below

Given that

AB || DE

BC ≅ DC

The proof is as follows

Statement                                                Reason

AB || DE and BC ≅ DC                            Given

AB ≅ DE                                                   CPCTC

AC ≅ EC                                                   CPCTC (proved)

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The composite function (f + g)(x) is (a) 7x + 6 + 4x²

From the question, we have the following equations that can be used in our computation:

f(x) = 7x + 6

g(x) = 4x2

So, we have the following proper representations

f(x) = 7x + 6

g(x) = 4x²

The composite function is given as

(f + g)(x)

So, we have

(f + g)(x) = f(x) + g(x)

This gives

(f + g)(x) = 4x² + 7x + 6

Hence, the function is (a) 7x + 6 + 4x²

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Answer:

5

Step-by-step explanation:

This is because she cannot buy 5.91 pairs of shoes and she doesn't have enough money to buy exactly 6, so you must round it down to 5.

She can buy a maximum of 5 shoes with her money.

The procedure of utilizing logical reasoning to analyze a condition to determine the best problem-solving approach for a particular issue, then using this approach to create and explain a resolution.

In another word, reasoning is a tricky but interesting problem in mathematics that required relations of variables to solve.

Given that,

Shelly has money to buy 5.91 pairs of shoes.

Now,

Shoes are a whole quantity it will never come in fractions or decimals.

So,

We need to write 5.91 either 5 or 6

Now,

If we write it 6 then we do have not sufficient money but if we write 5 then we have money although some amount will be left still, she can buy 5 shoes.

Hence "She can buy a maximum of 5 shoes with her money".

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Answer:

4. (-5, 3.5)

Step-by-step explanation:

Answer:

1/2

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Density = 4779 grams per liter

Step-by-step explanation:

here we need to convert

pounds to gram

pint to liter

1 pound = 454 grams

1 pint = 0.57 liters

given

density = 6 pounds per pint

now using grams in place of pound and

liter in place of pint we have

density = 6 pounds per pint = 6*454 grams /0.57 liters

density = 2724 pounds/ 0.57 liters = 4778.94 grams / liters

Density when rounded to nearest whole number is 4779 grams / liters

The scale of the map is 1:2, the distance from Averton to Charlbrough is 12 kilometers, and the distance in the map is 6.25 cm.

We know that 25 kilometers are represented in the map using only 12.5 centimeters. Now, let's simplify this:

25 kilometers / 12. 5 cm = 2

This can be expressed as a scale of 1:2 in which each centimeter represents 2 kilometers.

We know the distance on the map is 6 cm, let's now convert this to kilometers:

6cm x 2 = 12 kilometers

We know the distance is 12.5, using this information let's find out the distance on the map.

12.5/ 2 =6.25 cm.

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Answer:

E (The product of seven and the difference of b minus two)

Step-by-step explanation:

Answer:

3/32

Step-by-step explanation:

The slope is found by

m = ( y2-y1)/(x2-x1)

   = ( 19-22)/(-20-12)

   = -3/-32

   = 3/32

Answer:

A = 30

B = 60

C = 90

Step-by-step explanation:

Ratio of 1:2:3 can be written as x + 2x + 3x, x being angle A (the smallest angle)

As the sum of all the angles of a triangle must be 180, this gives us the equation:

x + 2x + 3x = 180

6x = 180

x = 30

x = 30 = A

2x = 2(30) = 60 = B

3x = 3(30) = 90 = C

30 + 60 + 90 = 180

The answer is C, 510.

From the truth table, the values for p v (p→q) are all true. Therefore, this proposition is considered a tautology.

A statement or formula that is true under every scenario is referred to as a tautology. For example, the bag is red or it is not. Whatever the color of the bag, these two statements are true.

Construct a truth table for the given propositions. From the table, we can tell that the proposition p v (p→q) is in tautology. Because whatever the value of p and q, the result is true for this proposition.

Therefore, the correct option is option c.

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Answer: log 10 is approximately 1.2552.

Step-by-step explanation:

To evaluate the logarithm log 10 using the given values of log 102 and log 109, we can use the property of logarithms that states:

log a (x * y) = log a (x) + log a (y)

Since we know that 10 can be expressed as the product of 102 and 109:

10 = 102 * 109

We can rewrite the logarithmic equation as:

log 10 = log (102 * 109)

Applying the property of logarithms mentioned earlier:

log 10 = log 102 + log 109

Substituting the given values:

log 10 ≈ 0.3010 + 0.9542

Calculating the sum:

log 10 ≈ 1.2552

Therefore, using the given values of log 102 and log 109, the value of log 10 is approximately 1.2552.