please help I'm so tired and I need to turn this in tomorrow

Sam increase the amount of protein she eats by a percentage of 30%.

To find the percentage increase, we can use the formula: (change in amount / original amount) x 100%.

Percentage is a way to express a number as a fraction of 100. It is a convenient method for comparing ratios or proportions because it standardizes them to a common denominator of 100. In this case, we want to find the percentage increase in Sam's daily protein consumption.

First, we need to determine the change in amount. This can be found by subtracting the original amount from the new amount: 58.5g - 45g = 13.5g.

Next, we'll divide the change in amount by the original amount: 13.5g / 45g = 0.3. To express this as a percentage, we'll multiply by 100: 0.3 x 100% = 30%.

Therefore, Sam increased her daily protein intake by 30%. This percentage helps us understand the relative change in her protein consumption compared to her initial intake.

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Given Parameters

height 12 ft

base diameter 8ft Therefore, the radius r =4ft

use the value 3.14 for pie

The formula

The final answer

Aksa is correct, that each layer has 24 cubes in it, as each layer is composed of four lines, and each line is composed by six cubes.

The number of cubes in each layer is obtained applying the proportions in the context of the problem.

For each layer, we have that:

Then the number of cubes in each layer is given as follows:

6 x 4 = 24 cubes.

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We know that A'B'C' is a rotation of the triangle ABC 90 decrees about the origin.

We remember that in a rotation, the lengths of the segments don't change, and thus, the measure of the segments are:

This means that the length of A'C' is 5 units, as this is the length of the segment AC.

Answer:

5 units

Step-by-step explanation:

I got it right on the test.

Answer:

P=Q=R

Step-by-step explanation:

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The given equation can be solved for the value of x and y

i.e. x = (3y - 7)/4 & y = (4x + 7)/3.

What is the linear equation?

An algebraic equation of the form y=mx+b is referred to as a linear equation. m is the slope, and b is the y-intercept, and all that is involved is a constant and a first-order (linear) term. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

We have,

The equation 4x=3y-7

So, here we can solve this equation for the x as well as y equals,

Firstly we will solve for x:

4x = 3y - 7

dividing the whole equation by 4 we get,

4x/4 = (3y - 7)/4

x = (3y - 7)/4

Similarly, we will solve for y:

4x = 3y - 7

3y = 4x + 7

dividing the whole equation by 3 we get,

3y/3 = (4x + 7)/3

y = (4x + 7)/3

Hence, the given equation can be solved for the value of x and y

i.e. x = (3y - 7)/4 & y = (4x + 7)/3

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There is a 20% chance that you made a Type II error in your study with an alpha value of 0.05 and a power of 80%. This means that there is a 20% chance that you failed to detect a true effect or relationship in the population.

To calculate the chance of making a Type II error, we need to understand what Type II error is and how it relates to the alpha value and power of a study.

Type II error, also known as a false negative, occurs when we fail to reject the null hypothesis when it is actually false. In other words, it means we incorrectly conclude that there is no effect or relationship in the population, even though there is one.

The power of a study represents the probability of correctly rejecting the null hypothesis when it is indeed false. It is directly related to the probability of making a Type II error. Therefore, the chance of making a Type II error is equal to 1 minus the power of the study.

Given that the power of the study is 80% (or 0.80), the chance of making a Type II error can be calculated as follows:

Chance of making a Type II error = 1 - Power of the study
                                = 1 - 0.80
                                = 0.20 or 20%

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For all the given reactions there is a type name for it they are,

1. A + B → AB

2. AB → A + B

3. Hydrocarbon + O₂ → CO₂ + H₂O

4. AB + CD → AD + CB

All the above-mentioned chemical reactions are of the following types

1 → Synthesis

2 → Decomposition

3 → Combustion

4 → Replacement

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There is only one possible outcome where the first card is odd and the second card is even: {3,2}.

We are dealing with a shuffled deck of three cards: 2, 3, and 4. There are three possible outcomes when dealing one card, and two possible outcomes when dealing the second card (since one card has already been dealt). Therefore, there are a total of 3x2=6 possible outcomes when dealing two cards, and 3x2x1=6 possible outcomes when dealing all three cards.

(a) What is P(E2 | E1), the probability the second card is even given that the first card is even?

There are two ways the first card can be even: 2 or 4. If the first card is 2, there are two possible outcomes for the second card: 3 or 4. If the first card is 4, there is only one possible outcome for the second card: 2. Therefore, there are three possible outcomes where the first card is even and the second card is even: {2,3}, {2,4}, and {4,2}. The probability of the second card being even given that the first card is even is therefore:

P(E2 | E1) = number of outcomes where E1 and E2 occur / number of outcomes where E1 occurs

P(E2 | E1) = 2 / 3

(b) What is the conditional probability that the first two cards are even given that the third card is even?

There is only one way the third card can be even: 2. If the third card is 2, there are two possible outcomes for the first card: 2 or 4. If the third card is 2 and the first card is 2, there is only one possible outcome for the second card: 4. If the third card is 2 and the first card is 4, there are two possible outcomes for the second card: 2 or 3. Therefore, there are three possible outcomes where the third card is even and the first two cards are even: {2,4,2}, {2,2,4}, and {4,2,4}. The probability that the first two cards are even given that the third card is even is therefore:

P(E1E2 | E3) = number of outcomes where E1 and E2 and E3 occur / number of outcomes where E3 occurs

P(E1E2 | E3) = 3 / 6 = 0.5

(c) Let Oi represent the event that the ith card dealt is odd numbered. What is P(E2 | O1), the conditional probability that the second card is even given that the first card is odd?

If the first card is odd, there is only one possible outcome: 3. If the first card is 3, there is only one possible outcome for the second card: 2. Therefore, there is only one possible outcome where the first card is odd and the second card is even: {3,2}. The probability that the second card is even given that the first card is odd is therefore:

P(E2 | O1) = number of outcomes where O1 and E2 occur / number of outcomes where O1 occurs

P(E2 | O1) = 1 / 3

(d) What is the conditional probability that the second card is odd given that the first card is odd?

If the first card is odd, there is only one possible outcome: 3. If the first card is 3, there is only one possible outcome for the second card: 2. Therefore, there is only one possible outcome where the first card is odd and the second card is even: {3,2}. Therefore, the conditional probability that the second.

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Answer:

- 22.5

Step-by-step explanation:

Substitute x = 3 into f(x) and x = 16 into h(x) , then

\(\frac{1}{2}\) g(3) - h(16)

= \(\frac{1}{2}\) × - 3(3)² - (2\(\sqrt{16}\) + 1)

= \(\frac{1}{2}\) × - 3(9) - (2(4) + 1)

= \(\frac{1}{2}\) × - 27 - (8 + 1)

= - 13.5 - 9

= - 22.5

Vasco's optimal bundle, we need to maximize his utility function U = 10x²z subject to his budget constraint.

His budget constraint can be written as:10x + 2z = 150

To solve this problem, we can use the method of Lagrange multipliers. The Lagrangian function is:L = 10x²z + λ(150 - 10x - 2z)

Taking the partial derivatives with respect to x, z, and λ, and setting them equal to zero, we have:

∂L/∂x = 20xz - 10λ = 0        (1)

∂L/∂z = 10x² - 2λ = 0          (2)

∂L/∂λ = 150 - 10x - 2z = 0    (3)

From equation (1), we have: 20xz = 10λ              (4)

From equation (2), we have: 10x² = 2λ                (5)

Dividing equation (4) by equation (5), we get:

(20xz) / (10x²) = (10λ) / (2λ)

2z / x = 5

Rearranging the equation, we have:

z = 5x / 2

Substituting this into equation (3), we have: 150 - 10x - 2(5x / 2) = 0

Simplifying the equation, we get: 150 - 10x - 5x = 0

15x = 150

x = 10

Substituting the value of x into z = 5x / 2, we have:

z = 5(10) / 2

z = 25

Therefore, the optimal bundle for Vasco is x = 10 units of X and z = 25 units of Z.

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A statistically significant negative correlation coefficient of r = -0.91 was obtained from a sample of n = 30. This indicates a strong and significant negative relationship between the variables.

The researcher conducted a correlation analysis and found a correlation coefficient (r) of -0.91, which indicates a strong negative relationship between the variables under investigation. The negative sign indicates that as one variable increases, the other variable tends to decrease, and vice versa.

The statistical significance of the correlation coefficient is crucial in determining whether the observed relationship is likely to be due to chance or if it truly exists in the population. In this case, the report should highlight that the obtained correlation coefficient is statistically significant.

To establish statistical significance, the researcher likely conducted a hypothesis test, such as a t-test or a permutation test, to determine the probability of obtaining a correlation coefficient as extreme as -0.91 under the null hypothesis of no correlation. Since the obtained correlation coefficient is statistically significant, it suggests that the observed negative relationship is unlikely to be a result of chance and provides evidence for a genuine association between the variables in the population from which the sample was drawn.

Reporting this finding is important for conveying the strength and significance of the negative relationship to the readers, providing valuable insights for further analysis and interpretation of the variables under investigation.

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Answer:

yo congratulations on finishing 10th grade (congratulate me on finishing 8th)

hamood spelled backwards is doomah so...um...

also do u mean 7/2/21..bc 6/2/21 is like in June and we're in July

Answer:

Step-by-step explanation:gg

The amount of ice cream at $6.9 will be equal to 1.875 quarts.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Diante has $3.75 and Rachel has $3.15. They combine their money to buy as much ice cream as they can afford. If ice cream costs $3.68 per quart.

Calculate the total amount of money,

M = 3.75 + 2.15

M = $6.9

The amount of ice cream they can purchase is,

A = 6.9 / 3.68

A = 1.875 quarts

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The simplest form of the polynomial is (x²)-3x+1.

A polynomial is a mathematical expression consisting of constants, variables, and exponents. It can be written in the form of a polynomial equation, which is a mathematical equation with one or more variables.

In this example, we have two functions, f(x) and g(x). The polynomial of these two functions can be written in simplest form by combining the functions together.

The polynomial of f(x) and g(x) is written in simplest form as (x²)-3x+1.

This means that for any value of x, the polynomial will evaluate to the value given by the equation.

If x=2, then the polynomial will evaluate to (2(2)²)-3(2)+1=3.

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Answer:

49

Step-by-step explanation:

7*7=49

Answer:

a

Step-by-step explanation:

it must not be above 180

The amount of interest Judith will pay in the 40th month is $401. Thus, the correct answer is option A.

To calculate the amount of interest Judith will pay in the 40th month, we need to determine the remaining mortgage balance at that time. With an amortization period of 22 years (264 months), after 40 months, there will be 264 - 40 = 224 months remaining.

Using the formula for mortgage balance, we can find the remaining balance:

Remaining Balance = Principal * [((1 + r)^n) - ((1 + r)^m)] / [((1 + r)^n) - 1]

Where Principal = $175,000 (initial loan amount), r = 3.2% / 2 = 1.6% (semi-annual interest rate), n = 22 * 2 = 44 (total number of semi-annual periods), and m = 224 / 2 = 112 (remaining number of semi-annual periods).

Substituting the values into the formula, we find:

Remaining Balance = $175,000 * [((1 + 0.016)^44) - ((1 + 0.016)^112)] / [((1 + 0.016)^44) - 1] = $147,334.89

The interest paid in the 40th month is the difference between the previous month's balance and the remaining balance:

Interest = Previous Balance * Monthly Interest Rate = $175,000 - $147,334.89 = $27,665.11

Therefore, Judith will pay approximately $401 in interest in the 40th month. Thus, the correct answer is option A.

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(a) To set out a simple circular curve of 100 m with a long chord length of 100 m and 7.5 m intervals, we can use the following steps:

1. Determine the central angle (θ) of the circular curve:

  θ = 2 * arcsin((L/2) / R)

  Where L is the length of the long chord and R is the radius of the curve.

  θ = 2 * arcsin((100 m / 2) / 100 m)

  θ ≈ 2 * arcsin(0.5)

  θ ≈ 2 * 30°

  θ ≈ 60°

2. Calculate the deflection angle (Δ) for each interval:

  Δ = θ / (n - 1)

  Where n is the number of intervals (including the endpoints).

  Δ = 60° / (8 - 1)

  Δ ≈ 60° / 7

  Δ ≈ 8.57° (rounded to two decimal places)

3. Set up the theodolite at the starting point and measure the initial angle (α0) to a reference direction.

4. Calculate the angles for each interval:

  αi = α0 + (i - 1) * Δ

  Where i is the interval number.

 For example, for the first interval:

  α1 = α0 + (1 - 1) * 8.57°

  α1 = α0

  For the second interval:

  α2 = α0 + (2 - 1) * 8.57°

  α2 = α0 + 8.57°

  Continue this calculation for each interval.

5. Convert the angles to coordinates (ordinates) using the formula:

  X = R * sin(αi)

  Y = R * (1 - cos(αi))

  Where X and Y are the coordinates at each interval.

  Calculate the coordinates (ordinates) for each interval using the angles obtained in step 4.

(b) To calculate the necessary data for setting out a curve of 450 m radius connecting two straight portions of the road at an angle of 127°30', with a theodolite available, using a peg interval of 20 m and a chainage of P.I. = 1000 m, we can follow these steps:

1. Determine the central angle (θ) of the circular curve:

  θ = 2 * arcsin((L/2) / R)

  Where L is the length of the curve and R is the radius of the curve.

  θ = 2 * arcsin((450 m / 2) / 450 m)

  θ ≈ 2 * arcsin(0.5)

  θ ≈ 2 * 30°

  θ ≈ 60°

2. Calculate the deflection angle (Δ) for each interval:

  Δ = θ / (n - 1)

  Where n is the number of intervals (including the endpoints).

  Δ = 60° / ((450 m - 0 m) / 20 m)

  Δ ≈ 60° / 22.5

  Δ ≈ 2.67° (rounded to two decimal places)

3. Set up the theodolite at the starting point and measure the initial angle (α0) to a reference direction.

4. Calculate the angles for each interval:

  αi = α0 + (i - 1) * Δ

  Where i is the interval number.

  For example, for the first interval:

  α1 = α0 + (1 - 1) * 2.67°

  α1 = α0

  For the second interval:

  α2 = α0 + (2 - 1) * 2.67°

  α2 = α0 + 2.67°

  Continue this calculation for each interval.

5. Convert the angles to coordinates (ordinates) using the formula:

  X = R * sin(αi)

  Y = R * (1 - cos(αi))

  Where X and Y are the coordinates at each interval.

  Calculate the coordinates (ordinates) for each interval using the angles obtained in step 4.

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The temperature at 2 PM will be  x +16°F

Temperature is a phrase used to describe the degree of heat or cold on any scale, including Fahrenheit and Celsius. A thermometer is used to determine temperature. It is calibrated using different temperature scales that historically defined themselves using different reference points and thermometric substances.

The most popular scales are the Celsius scale, also known as "centigrade," with the unit °C, the Fahrenheit scale, with the unit °F, and the Kelvin scale, with the unit K. The latter is primarily used for scientific research and is the primary temperature scale specified by the International System of Units (SI).

Let temperature at 6 AM be x°F

Time difference between 2 PM and 6 AM:

Δt = 14 -6

 = 8 hour

increase in temperature after every 1 hour = 2°F

increase in temperature in 8 hour will be:

ΔT = 2 * Δt = 2*8 = 16°F

Temperature at 2 PM will be = x + ΔT

                                                = x +16°F

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To find the speed of the balloon at the instant when the angle of elevation is 60 degrees, we need to use trigonometry and the concept of rates of change.

Let's denote the distance between the observer and the balloon as d and the angle of elevation as \(\(\theta\)\). We are given that d = 150 feet and the rate of change of \(\(\theta\)\) with respect to time is 15 degrees per second.

First, we need to convert the rate of change from degrees to radians. Since 1 degree is equal to \(\(\frac{\pi}{180}\)\) radians, the rate of change in radians per second is \(\(\frac{15\pi}{180} = \frac{\pi}{12}\)\).

Now, let's consider a right triangle formed by the observer, the balloon, and a point on the ground directly below the balloon. The side opposite to \(\(\theta\)\) is the height of the balloon, which we'll denote as h. The adjacent side is the distance between the observer and the point on the ground directly below the balloon, which is d = 150 feet.

Since \(\(\theta\)\) is the angle of elevation, we can use the trigonometric function tangent to relate h and d:

\(\(\tan(\theta) = \frac{h}{d}\)\)

Differentiating both sides of this equation with respect to time, we get:

\(\(\sec^2(\theta) \cdot \frac{d\theta}{dt} = \frac{dh}{dt}\)\)

Now, we substitute the given values: \(\(\theta = 60\)\) degrees and \(\(\frac{d\theta}{dt} = \frac{\pi}{12}\)\) radians per second:

\(\(\sec^2(60^\circ) \cdot \frac{\pi}{12} = \frac{dh}{dt}\)\)

Since\(\(\sec(60^\circ) = \frac{1}{\cos(60^\circ)} = \frac{1}{\frac{1}{2}} = 2\)\), we have:

\(\(2^2 \cdot \frac{\pi}{12} = \frac{dh}{dt}\)\)

\(\(\frac{\pi}{3} = \frac{dh}{dt}\)\)

Therefore, the speed of the balloon at the instant when the angle of elevation is 60 degrees is \(\(\frac{\pi}{3}\)\) feet per second.

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Answer: 177

step by step explanation :the real answer would be (7.5)^2 = 176.71.. The answer is 177 because if you do all the math you will see that that is the answer that is closest to the answer that you originally received.

Gwenivere traveled a total distance of 8.6 miles to get to the concert.

In this problem, we are given the distance Gwenivere traveled to get to the concert. The distance she traveled to the concert is the sum of the distance she drove, the distance she rode on the train, and the distance she walked.

We know that Gwenivere drove 5.2 miles to get to the train station, rode the train for 2.4 miles, and walked 1,947 feet to get to the concert.

To find the total distance traveled by Gwenivere, the distance she walked in miles should be converted from feet to miles.

To convert the distance Gwenivere walked in feet to miles, we divide by the conversion factor of 5,280 feet/mile. We get 1,947 feet ÷ 5,280 feet/mile ≈ 0.37 miles.

The total distance traveled by Gwenivere is the sum of the distance she drove, the distance she rode on the train, and the distance she walked.

Thus, the total distance she traveled is 5.2 miles + 2.4 miles + 0.37 miles = 8.6 miles. Therefore, Gwenivere traveled a total distance of 8.6 miles to get to the concert.

In conclusion, Gwenivere traveled a total distance of 8.6 miles to get to the concert.

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At least 67 senators must vote in favor for a bill to pass with a supermajority.

A supermajority is a voting requirement that surpasses a simple majority and sets a higher threshold for passing certain decisions. In the case of the U.S. Senate, which consists of 100 members, a bill must garner the support of at least twice as many senators voting in favor as those voting against in order to pass with a supermajority. Therefore, to achieve a supermajority, a minimum of 67 senators must vote in favor of the bill.

The purpose of a supermajority requirement is to ensure that significant decisions have substantial support and broad consensus among legislators. By raising the threshold, it becomes more challenging for a small minority to block the passage of a bill, making it more likely that measures with broad support can be enacted into law.

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Answer:

BC = \(\frac{12}{13}\)

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

BC² + AC² = AB²

BC² + (\(\frac{5}{13}\) )² = 1²

BC² + \(\frac{25}{169}\) = 1 ( subtract \(\frac{25}{169}\) from both sides )

BC² = \(\frac{169}{169}\) - \(\frac{25}{169}\) = \(\frac{144}{169}\) ( take square root of both sides )

BC = \(\sqrt{\frac{144}{169} }\) = \(\frac{12}{13}\)

Answer:

14 cupcakes

Step-by-step explanation:

40 percent of 35 is 14

Answer:

14 cupcakes had sprinkles.

Step-by-step explanation:

Write 40% as 40/100. Since finding the fraction of a number is the same as multiplying the fraction with the number, we have 40/100 of 35 = 40/100 × 35.

The flexible budget performance report is as follows:

Fixed expenses:

Budgeted: $35,000

Actual: $36,200

Variance: $1,200 unfavorable

Variable expenses:

Budgeted: $128,700

Actual: $136,440

Variance: $7,740 unfavorable

Total expenses:

Budgeted: $163,700

Actual: $172,640

Variance: $8,940 unfavorable

Income from operations:

Budgeted: $40,450

Actual: $42,860

Variance: $2,410 favorable

To prepare a flexible budget performance report that shows the variances between the budgeted results and actual results, we need to calculate the flexible budget and compare it to the actual results.

Fixed Expenses:

Budgeted fixed expenses: $35,000

Actual fixed expenses: $36,200

Fixed expenses variance: $36,200 - $35,000 = $1,200 unfavorable

Variable Expenses for Desks:

Budgeted variable expenses for desks: $110,700

Actual desk sales units: 141

Budgeted variable expense per desk: $110,700 / 135 units = $820 per desk

Flexible budget for desk variable expenses: 141 units * $820 per desk = $115,620

Variable Expenses for Chairs:

Budgeted variable expenses for chairs: $18,000

Actual chair sales units: 68

Budgeted variable expense per chair: $18,000 / 60 units = $300 per chair

Flexible budget for chair variable expenses: 68 units * $300 per chair = $20,400

Now, let's calculate the total flexible budget and the variances:

Total flexible budget: Fixed expenses + Variable expenses = $36,200 + ($115,620 + $20,400) = $172,220

Total expenses variance: Actual expenses - Total flexible budget = $172,640 - $172,220 = $420 unfavorable

Income from operations variance: Actual income - Budgeted income = $42,860 - $40,450 = $2,410 favorable

The report highlights the variances between the budgeted results and the actual results, providing insights into the company's performance in the second quarter of 2020.

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