1.429 kcal/min to cal/seconds

1) -9 × 12 = ?

→ -9 × 12

→ -108

2) 22 × -13 = ?

→ 22 × -13

→ -286

3) -120/15 = ?

→ -120 ÷ 15

→ -8

4) -40/5 = ?

→ -40 ÷ 5

→ -8

Answer:

y = a - k

Step-by-step explanation:

k = a - y

=> k + y = a

=> y = a - k

Answer:

C

Step-by-step explanation:

Answer:

y=3x-2

Step-by-step explanation:

First, you have to know that the slope (m) of the line form by two points A(x1,y1), and B(x2,y2) is (y2-y1)/(x2-x1).

So we get the slope of the line is (4-7)/(2-3)=3, so the line equation becomes y=3x+b.

Substituting one of the points into the equation, for instance, the first point(3,7): 7=3*3+b, we can get that b=-2

The equation of the line is y=3x-2

Answer:

$1.030 ($1.03 rounded.)

Step-by-step explanation:

First, we need to start of making an equation.

$2.36 + x = 6.48.

We will use x as the variable for the amount of each bottle of juice, because it is unknown.

Then, we must put the variable on one side of the equation. To do this, we must subtract $2.36 from $6.48; and $2.36 - $2.36.

We get the result that x = $4.12. However, only 1 pack is $4.12, and we must find the cost of 4 juice bottles. Therefor, we divide 4.12 by 4.

If Lillian bought a bag of apples for $2.36 and a 4-pack of juice bottles. The total cost before tax was $6.48 then each juice bottle costs $1.03.

Let's denote the cost of each juice bottle as "x".

Since Lillian bought a 4-pack of juice bottles, the total cost of the juice is 4x.

Given that the total cost before tax was $6.48, we can set up an equation:

Cost of apples + Cost of juice = Total cost

$2.36 + 4x = $6.48

Now, solve for "x":

4x = $6.48 - $2.36

4x = $4.12

x = $4.12 / 4

x = $1.03

Hence, Each bottle of juice costs $1.03.

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The total surface area of the wire-screen chicken coop is 10512 square inches.

The space occupied by a two-dimensional flat surface is called the area. It is measured in square units. The area occupied by a three-dimensional object by its outer surface is called the surface area

the total surface area of the right rectangular prism, we use the formula:

2lw + 2lh + 2wh

where l, w, and h are the length, width, and height of the prism, respectively.

We are given the height, width, and length of the wire-screen chicken coop, which are 42 inches, 36 inches, and 48 inches, respectively.

Substituting these values in the formula, we get:

2(36)(48) + 2(36)(42) + 2(48)(42)

Multiplying out, we get:

= 3456 + 3024 + 4032

Adding these terms, we get the total surface area:

= 10512

Therefore, the total surface area of the wire-screen chicken coop is 10512 square inches.

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The answer will be direct constant of proportionality.

What is the constant of proportionality?

When either their ratio or their product gives a constant, two changing values are said to be in a proportionate relationship. The Direct Variation and Inverse Variation types of proportions between the two provided quantities determine the proportionality constant's value.

Direct Variation: The direct proportionality equation is y = kx, which demonstrates that as x rises, y rises at the same pace. Example: y x represents the cost per item(y), which is directly proportional to the number of items(x) purchased.

Here in the question given that y is the water team uses in a practice session.

y = 10x

Given in the question that for 3 practices session they use 30 liters.

This will indicates a direct variation.

Hence the constant of proportionality used is direct.

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Answer: C: 10

Step-by-step explanation:

It's right don't worry you'll get the answer right :)

A state with a sales tax is a better option for both individuals and state governments.

WHAT IS SLES TAX?

A state without a sales tax may seem preferable since they do not have to pay additional taxes on purchases. However, in such states, the government often imposes higher income taxes or property taxes to compensate for the lack of sales tax revenue. Therefore, it ultimately depends on the individual's financial situation and spending habits.

From the state government's perspective, having a sales tax is generally more beneficial as it provides a consistent and reliable revenue stream. Sales tax revenue is collected on a regular basis and is not subject to fluctuations in the economy or changes in demographics. Additionally, sales tax revenue is not as heavily reliant on the state's residents and can be partially collected from tourists and visitors who make purchases within the state.

In my opinion, a state with a sales tax is a better option for both individuals and state governments. While paying additional taxes may not seem appealing, it allows the state to fund essential services such as education, healthcare, and infrastructure. Additionally, sales tax revenue is spread across a wider population, making it more equitable and less burdensome on individual taxpayers. Overall, having a sales tax system in place helps to ensure that the state government can continue to provide essential services and maintain a stable economy.

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xy + xz is an even integer & x is even and y + xz is an odd integer &  either (x-1) is even or (y-z) is even .

1. xy + xz is an even integer - SUFFICIENT

Given:

xy + z is odd ...(i)

xy + xz is even ...(ii)

subtracting (ii) from (i)

we get xz - z, which should be odd (* since odd - even = odd)

=> z(x-1) is odd

=> both z and (x-1) is odd

=> since (x-1) is odd, x must be even.

2. y + xz is an odd integer -INSUFFICIENT

Given:

xy + z is odd ...(i)

y + xz is odd ...(ii)

subtracting (ii) from (i)

we get xy + z - y - xz

= (x-1)(y-z) , which should be even

=> either (x-1) is even or (y-z) is even ....insufficient to determine

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12.

In order to solve this system of inequalities, let's graph each inequality in the coordinate plane and then find the solution region.

To graph an inequality, first let's graph the corresponding equation, then we use the inequality symbol to determine the solution region.

Graphing the equation 3x + 3y = 1, let's determine two ordered pairs that are solution to this equation. Using x = 0 and x = 1, we have:

Now, for 2y = 11, we have the horizontal line y = 11/2.

For both inequalities, the line is not part of the solution, because the symbols are "greater than" and "lesser than", so we draw the line dashed.

Graphing both inequalities in green and blue, and the solution region in yellow, we have:

Answer: y = -1/2x+7/2.

Step-by-step explanation:

Firstly, we need to understand the formula of point-slope form: y1-y2=m(r1-r2)

Where x and y is the coordinates and m is the slope respectively.

To find the slope:

y1-y2/r1-r2

In this case:

5-4/-3-(-1)=-1/2

We can then put the above slope and the point (-1,4) into the formula:

4-y = -1/2(-1-x)

-y = 1/2+1/2x-4

y = -1/2x+7/2

Alternatively:

y-4=-1/2(x-(-1))

y=-1/2x-1/2+4

y = -1/2x+7/2

Answer:

y - 5 = -1/2(x+3)

Step-by-step explanation

Slope = y2-y1/x2-x1

Slope = 4-5/-1-(-3) = -1/2

(x1,y1) = (-3,5)  

final answer : y - 5 = -1/2(x+3)

It is a unique variety of quadrilateral called a parallelogram that has both pairs of opposite sides parallel and equal.

A polygon with has four sides, four angles, and four vertices is called a quadrilateral. The Latin words 'Quadri', which denotes four, and latus, which means side, were combined to form the English word quadrilateral.

Given, Height of the Parallelogram = 2 units

Each segment on the grid is represented as = 1 unit.

So, One side of the Parallelogram = 3 units

Properties of Parallelogram

a. Opposite sides are equal.

b. Opposite sides are parallel.

c. Diagonals Bisect each other.

Also, Every Rectangle is a Parallelogram.

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Answer:

Step-by-step explanation:

Use PEMDAS to determine order of operations.

P = Parentheses

E = Exponents

M/D = Multiplication/Division

A/S = Addition/Subtraction

The operation in the parentheses must be performed first, which is the addition of 6.1 + 12.

The next operation to perform is multiplication, which is 415 times (6.1 + 12).

The last operation to perform is the subtraction of 415 times (6.1 + 12) from 8.3.

6.1 + 12 = 18.1

8.3 - 415(18.1)

8.3 - 7511.5 = -7503.2

Answer: 34.50

Step-by-step explanation: Since 3 bags cost 17.25 and Marco would buy 6, 3 times 2 is 6 so 17.25 times 2 is 34.50

Answer: Arnav is 1.8m

Step-by-step explanation: I multiplied 1.5 by 0.20 and then added that answer to 1.5 and then I got 1.8

:D

Answer:

1.5 x 2= 3m its really just that easy.... it took me a while to learn this trick but it works for most things.

The odds of selecting a red 9 is 1/26.

Probability of an event E is represented by P(E)  can be defined as (the number of favorable outcomes) / (Total number of outcomes).

Given the total number of cards in a standard deck = 52

there can be  only two red9 as one 9 from heart and one red from diamond.

So the number of outcome for red 9 =2

the probability of odds of selecting red 9 is \(\frac{2}{52}\) which can be further simplified into \(\frac{1}{26}\).

Therefore , The odds of selecting a red 9 is 1/26.

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Answer:

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

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

Answer:

The answer is 42.73

Step-by-step explanation:

The math really isn't that hard. And also I had answered the question before and got it correct. :))

Answer:

42.73

Step-by-step explanation:

Answer:

(200+1,500) - 500 = 1,200 ft

Step-by-step explanation:

the hiker started at 200 ft then went 1500 more feet. (add it up) Then, she descends (goes down) 500 feet. So let's subtract 500 feet from the sum of 200 and 1500. ( (200+1500 equals 1700, then subtract 500 which will be 1200.) ) So, she is 1200 feet above sea level during the 10 minute break.

♡ Hope it helps♡

Answer:

The prime factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2.

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

The correlation coefficient is +0.8, it indicates a strong positive relationship between the variables. If it is -0.3, it suggests a weak negative relationship. Keep in mind that correlation does not imply causation; it simply measures the association between variables.

The formula for calculating the correlation coefficient was developed by Karl Pearson, a British mathematician and statistician. Pearson's correlation coefficient, denoted as r, is a measure of the linear relationship between two variables. It quantifies the strength and direction of the relationship, ranging from -1 to +1.

To calculate the correlation coefficient, follow these steps:

1. Standardize the data: Subtract the mean from each data point and divide by the standard deviation for both variables.

2. Multiply the standardized values for each pair of data points and sum them.

3. Divide the sum by the number of data points.

4. This will give you the covariance between the two variables.

5. Next, calculate the standard deviation for each variable and multiply them together.

6. Divide the covariance by the product of the standard deviations.

7. The resulting value is the correlation coefficient, which indicates the strength and direction of the linear relationship.

For example, if the correlation coefficient is +0.8, it indicates a strong positive relationship between the variables. If it is -0.3, it suggests a weak negative relationship. Keep in mind that correlation does not imply causation; it simply measures the association between variables.

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The standard error of the distribution of sample proportions is 0.017. This means that if we take many random samples of size 800 from a population with proportion 0.60, the sample proportions will be normally distributed with a mean of 0.60 and a standard deviation of 0.017.

The standard error of the distribution of sample proportions is calculated using the following formula:

SE = sqrt(p(1-p)/n)

where:

p = the population proportion

n = the sample size

In this case, p = 0.60 and n = 800.

Plugging these values into the formula, we get:

SE = sqrt(0.60(1-0.60)/800) = 0.017

This means that if we take many random samples of size 800 from a population with proportion 0.60, the sample proportions will be normally distributed with a mean of 0.60 and a standard deviation of 0.017.

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The standard error of the distribution of sample proportions is 0.017. This means that if we take many random samples of size 800 from a population with proportion 0.60, the sample proportions will be normally distributed with a mean of 0.60 and a standard deviation of 0.017.

The standard error of the distribution of sample proportions is calculated using the following formula:

SE = sqrt(p(1-p)/n)

where:

p = the population proportion

n = the sample size

In this case, p = 0.60 and n = 800.

Plugging these values into the formula, we get:

SE = sqrt(0.60(1-0.60)/800) = 0.017

This means that if we take many random samples of size 800 from a population with proportion 0.60, the sample proportions will be normally distributed with a mean of 0.60 and a standard deviation of 0.017.

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Answer:

$3.50

Step-by-step explanation:

I did the math lol

Answer:

$3.50

Step-by-step explanation:

Anusha brings a $20 bill to the store. She purchases 4 pairs of socks for $2.25 each and a new belt for $7.50. How much change will Anusha receive when she pays for her clothes?

$3.50

$7.50

$9.00

$16.50

$2.25+$2.25+$2.25+$2.25=$9

$9 + $7.50 = $16.50

Receives $3.50

Answer:

use a calculator that should help u so much

The cost function for having x board feet of lumber delivered by Alumberyard is C(x) = 4x + 20. This function includes a charge of $4 per board foot of lumber, multiplied by the quantity x, and a fixed delivery charge of $20.

The cost of delivering lumber consists of two components: the cost per board foot and the fixed delivery charge. The cost per board foot is given as $4, so multiplying it by the quantity x gives the variable cost for the lumber. Adding the fixed delivery charge of $20 to this variable cost gives the total cost, which is represented by the function C(x) = 4x + 20.

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To answer the questions, we need to understand the utility functions and budget constraints for both Joey and Jim. Let's break it down step by step:

Joey's Utility Function and Budget Constraint:

Joey's utility function for whisky (w) and beer (b) is given by: U(w, b) = 5 + (w^0.3 * b^0.7)

w: The quantity of whisky (in bottles) consumed by Joey

b: The quantity of beer (in cans) consumed by Joey

Joey spends £75 in total on drink. The cost of beer is £2 per can, and the cost of whisky is £6 per bottle.

To find how many cans of beer and bottles of whisky Joey consumes, we need to maximize his utility function while staying within his budget constraint.

Joey's Budget Constraint:

Joey's total expenditure on drink (E) is given by: E = 2b + 6w

And we know that E = £75.

So, the budget constraint is: 2b + 6w = 75

Now, we can solve this problem using optimization techniques. However, without specific numerical values for the utility function and budget constraint, it's not possible to determine the exact quantities of beer and whisky consumed by Joey. We can only find the optimal consumption bundle if the specific values are given.

Joey's Indifference Curve and Budget Constraint Diagram:

To illustrate Joey's optimal consumption bundle, we would need to plot his indifference curve (representing his preferences) and his budget constraint (showing all possible affordable combinations of beer and whisky). However, without the exact values, we cannot draw the diagram.

Jim's Utility Function and Consumption:

Jim's utility function for beer (b) and whisky (w) is given by: U(b, w) = min{5, (w^0.3 * b^0.7)}

Jim's utility function shows that he insists on drinking beer and whisky together, and his utility is the minimum of 5 and the product of whisky and beer raised to certain powers.

Again, without specific numerical values for the utility function, we cannot determine the exact quantities of beer and whisky consumed by Jim.

In summary, to fully answer the questions, we would need the specific numerical values for the utility function and the budget constraint. With those values, we could then calculate the optimal consumption bundles for both Joey and Jim.

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The broad sense heritability (H2) for tail length in the population of peacocks is approximately 0.5547, indicating that genetic factors contribute to about 55.47% of the observed phenotypic variance in tail length.

The broad sense heritability (H2) is defined as the proportion of phenotypic variance that can be attributed to genetic factors in a population. It is calculated by dividing the genetic variance by the phenotypic variance.

In this case, the phenotypic variance is given as 2.56 cm², which represents the total variation in tail length observed in the population. The environmental variance is given as 1.14 cm², which accounts for the variation in tail length due to environmental factors.

To calculate the genetic variance, we subtract the environmental variance from the phenotypic variance:

Genetic variance = Phenotypic variance - Environmental variance

                 = 2.56 cm² - 1.14 cm²

                 = 1.42 cm²

Finally, we can calculate the broad sense heritability:

H2 = Genetic variance / Phenotypic variance

   = 1.42 cm² / 2.56 cm²

   ≈ 0.5547

Therefore, the broad sense heritability (H2) for tail length in the population of peacocks is approximately 0.5547, indicating that genetic factors contribute to about 55.47% of the observed phenotypic variance in tail length.

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Answer:

y = 1/4x - 2

Step-by-step explanation:

Slope intercept form: y = mx + b

The prompt tells us that the slope of the line is 1/4 and that it passes through the point (0, -2). Insert the information into the formula to get y = 1/4x - 2.

To solve the problem of a vibrating string with damping using numerical methods and time steps, follow these steps:

1. Discretize the string into a set of points along its length.

2. Use a finite difference method, such as the central difference method, to approximate the derivatives in the equation.

3. Apply the difference equation to each point on the string, considering the damping force and given parameters.

4. Set up the initial conditions for the string's displacement and velocity at each point.

5. Iterate over time steps to update the displacements and velocities at each point using the finite difference equation.

6. Compute and store the values of the solution at selected points for analysis.

7. Compare the numerical solution with the analytical solution, if available, to assess accuracy.

8. Plot the results to visualize the behavior of the vibrating string over time.

9. If using MATLAB, write a script to implement the numerical method and generate plots.

Note: The specific equation and initial conditions are missing from the given question, so adapt the steps accordingly.

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Answer

Step-by-step explanation: