What calculation estimates the primary macronutrient the body uses for energy at a given point in time?

Answer:

= desaster

Step-by-step explanation:

Answer:

29p

Step-by-step explanation:

pretty simple

Answer:

29p

Step-by-step explanation:

you

take

p

multiply

by

29

and

the

answer

is

29p

Hence, after solving the expression (7x-10)(6y-12)=0, the value of y comes out as y=2.

What is zero product rule?

The zero product property states that if A and B are two real numbers and their multiplication results in zero, then either A or B must equal zero, however it is possible for both A and B to be equal to zero in rare circumstances. As a result, we can state that the product of two real non-zero numbers cannot ever be zero. It is typically applied for solving algebraic problems. Any expression that contains a variable is considered an algebraic expression. A zero-equivalent algebraic expression is referred to as an equation.

Given, the complete mathematical equation is (7x-10)(6y-12) = 0

By Zero Product Rule,

Since the expression is in product form, and it is equal to zero, we can equate each expression to zero.

Thus,

(7x-10) = 0

⇒ 7x = 10

⇒ x = 10/7

For the second expression,

(6y-12) = 0

⇒ 6y = 12

⇒ y = 12/6

⇒ y = 2

Hence, after solving the expression (7x-10)(6y-12)=0, the value of y comes out as y=2.

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Using Zero product rule, Hence, after solving the expression (7x-10)(6y-12)=0, the value of y comes out as y=2.

The zero product property states that if A and B are two real numbers and their multiplication results in zero, then either A or B must equal zero, however it is possible for both A and B to be equal to zero in rare circumstances. As a result, we can state that the product of two real non-zero numbers cannot ever be zero. It is typically applied for solving algebraic problems. Any expression that contains a variable is considered an algebraic expression. A zero-equivalent algebraic expression is referred to as an equation.

Given, the complete mathematical equation is (7x-10)(6y-12) = 0

By Zero Product Rule,

Since the expression is in product form, and it is equal to zero, we can equate each expression to zero.

Thus,

(7x-10) = 0

⇒ 7x = 10

⇒ x = 10/7

For the second expression,

(6y-12) = 0

⇒ 6y = 12

⇒ y = 12/6

⇒ y = 2

Hence, after solving the expression (7x-10)(6y-12)=0, the value of y comes out as y=2.

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Answer:

0.01949025487

Step-by-step explanation:

Answer:

184$

Step-by-step explanation:

Answer:

$184

Step-by-step explanation:

230 ÷ 100= 2.3

2.3 x 20%= 46

230- 46= 184

The volume of the triangular prism is 216 ft³.

The prism above is a triangular base prism. Therefore, the volume of the prism can be calculated as follows:

volume of the triangular prism = Bh

where

Therefore,

B = 1 / 2 bh

B = 1 / 2 × 12 × 2

B = 24 / 2

B = 12 ft²

Therefore,

volume of the triangular prism = 12 × 18

volume of the triangular prism = 216 ft³

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Answer:

823,546,580,786

Step-by-step explanation:

If you look at the place values, that will help you determine the standard form. Hope this helps!

(a) There must be n-1 edges in a single-elimination tournament graph with n vertices.

(b) A complete tournament graph with n vertices must have n(n-1)/2 edges.

(a) In a single-elimination tournament graph with n vertices, each vertex represents a participant, and each match in the tournament is represented by an edge. In each round, half of the remaining participants are eliminated, until only one participant remains as the winner. Therefore, there must be n-1 edges in a single-elimination tournament graph with n vertices.

(b) In a complete tournament graph with n vertices, each vertex represents a participant, and there is a directed edge between every pair of distinct vertices. This means that every participant competes against every other participant exactly once. The number of edges in a complete tournament graph with n vertices can be calculated using the formula n(n-1)/2, since there are n(n-1)/2 pairs of distinct vertices, and each pair is connected by a directed edge. Therefore, a complete tournament graph with n vertices must have n(n-1)/2 edges.

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The distance between Amy's initial and final position is 1 mile and she is facing South direction

It is given that,

Amy first moves towards East direction in reference to her initial position  for 2 miles

The distance covered by Amy in East direction = 2 miles

Then,

Amy moves towards South direction in reference to her initial position(facing East side) for 3 miles

The distance covered by Amy in South direction = 3 miles

We need to find,

The distance between Amy's initial and final position which will be given by the displacement between both points

Let's say that the positive direction is East and the negative direction is south.

The distance covered by Amy in East direction = + 2 miles

The distance covered by Amy in South direction = - 3 miles

Then , +2 +(-3) = -1

Hence, the distance between Amy's initial and final position is 1 mile and she is facing South direction

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a. Let A be the matrix of unit prices for Supplier A and B be the matrix of unit prices for Supplier B:

A =

[8 9 6 24 4]

[12 12 6 18 4]

B =

[9 12 6 18 4]

[12 7 6 18 4]

Let D be the matrix of department orders:

D =

[6 10 4 3 5]

[7 4 2 2 3]

[4 0 5 1 0]

[0 5 3 4 5]

To get the comparative costs for each department for the products from the two suppliers, we need to multiply D by the element-wise difference between A and B:

(A - B) =

[-1 -3 0 6 0]

[0 5 0 0 0]

Comparative costs = D * (A - B) =

[-8 -27 0 54 0]

[-5 -23 0 0 0]

[-4 0 0 6 0]

[0 -15 0 24 0]

b. To find the cost of Department 3's supplies if they buy from Supplier A, we need to multiply the third row of D by the third row of (A - B):

[4 0 5 1 0] * [0 0 0 6 0] = 0 + 0 + 0 + 6 + 0 = 6

So the cost of Department 3's supplies if they buy from Supplier A is $6.

c. To find the total cost to buy products from each supplier, we need to multiply D by A and B and then sum the elements in each resulting matrix:

Total cost from Supplier A = sum(D * A) = $487

Total cost from Supplier B = sum(D * B) = $480

So the company should make the purchase from Supplier B as it will cost them less.

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The pen must have it's length from any value greater than 9 for it's area to be greater than 225 squared feet

In Algebra, inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol. The expressions on both sides of an inequality sign are not equal. Many simple inequalities can be solved by adding, subtracting, multiplying or dividing both sides until you are left with the variable on its own.

Inequality is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions

Given that the area (A) must be greater than 225 squared feet, the width is 25 feet.

Assuming the pen is rectangular in shape;

A = L * W

L * 25 > 225

25L > 225

solving for L

L > 225/25

L > 9

The possible lengths for the pen are values greater than 9

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Answer:

3/16

Step-by-step explanation:

simply multiply all 3 numbers

Here, we want to write the decimal as a percent

We first re-write as a fraction then multiply by 100%

We have this as;

Random sampling do not complicates the analysis of cross-sectional data

Sampling is just an action of taking samples or subsets of a given data set for analysis. This means that when sampling is done, the next stage for the samples, are for them to be analyzed.

There different methods of sampling including random sampling. In this type, each member of the samples have equally probability of being chosen.

A cross-sectional data analysis is the analysis of samples or subsets at a fixed point in time. A systematic random sampling method is used in the analysis of cross-sectional data. And when this used, then each combinations of individuals samples in a data set has an equal chance of being selected.

Hence, the statements that says random sampling complicates the analysis of cross-sectional data is False.

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The correct option is B• "The LP has multiple optimal solutions". Because  feasible region, intersects with the objective function in multiple points.

The given linear programming (LP) problem consists of two constraints and two decision variables, x1 and x2. The objective function to be minimized is x1 + 2x2.

To determine the nature of the LP problem, we need to analyze its feasible region and objective function.

The first constraint, x1 + x2 ≤ 4, defines a region in the xy-plane that lies below the line x1 + x2 = 4. The second constraint, x1 - x2 ≥ 5, defines a region that lies to the right of the line x1 - x2 = 5. The feasible region is the intersection of these two regions.

By analyzing the feasible region, we can determine the potential optimal solutions. Since the feasible region is a bounded region, there are finite points within it. The objective function, x1 + 2x2, represents a straight line in the xy-plane with a positive slope. As long as this line intersects the feasible region, there will be multiple points of intersection, each representing a potential optimal solution.

Therefore, the LP problem has multiple optimal solutions because there are multiple points of intersection between the objective function and the feasible region.

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Answer:

The answer is C

Step-by-step explanation:

You would move the dot on the number to the right 5 spots, ending up at -4.

Answer:$237.53

Step-by-step explanation:If you add 25.56+3 that will give you 28.56.Then if you add 28.56+75 that will give you 103.56.Then if you add 103.56+1.85 that will give you 105.41.Finally, you add 28.56+103.56+105.41 that will give you 237.53.And that's your answer.

Answer:  A

Step-by-step explanation:

When multiplying: Numbers multiply with numbers and for the x's, add the exponents

If there is no exponent, you can assume an imaginary 1 is the exponent

2x⁴ (3x³ − x² + 4x)

= 6x⁷ -2x⁶ + 8x⁵

Answer:

A. \(6x^{7} - 2x^{6} + 8x^{5}\)

Label the parts of the expression:

Outside the parentheses = \(2x^{4}\)

Inside parentheses = \(3x^{3} -x^{2} + 4x\)

You must distribute what is outside the parentheses with all the values inside the parentheses. Distribution means that you multiply what is outside the parentheses with each value inside the parentheses

\(2x^{4}\) × \(3x^{3}\)

\(2x^{4}\) × \(-x^{2}\)

\(2x^{4}\) × \(4x\)

First, multiply the whole numbers of each value before the variables

2 x 3 = 6

2 x -1 = -2

2 x 4 = 8

Now you have:

6\(x^{4}x^{3}\)

-2\(x^{4}x^{2}\)

8\(x^{4} x\)

When you multiply exponents together, you multiply the bases as normal and add the exponents together

\(6x^{4+3}\) = \(6x^{7}\)

\(-2x^{4+2}\) = \(-2x^{6}\)

\(8x^{4+1}\) = \(8x^{5}\)

Put the numbers given above into an expression:

\(6x^{7} -2x^{6} +8x^{5}\)

distribution

variable

like exponents

Answer:

There are 120 students in the choir.

Step-by-step explanation:

Given that:

Number of members who participated in contest = 36

This represents 30% of the total members of choir at the school.

Let,

x be the number of total sutdents

30% of x = 36

\(\frac{30}{100}x=36\)

0.3x = 36

Dividing both sides by 0.3

\(\frac{0.3x}{0.3}=\frac{36}{0.3}\\x=120\)

Hence,

There are 120 students in the choir.

Step-by-step explanation:

sin∅=-3/4 in 4 quadrant which sine is negative there

using soh cah toa

sin=opp/hyp

where our opp=-3 and our hyp=4

using pythagoras theorem

hyp²=opp²+adj²

(4)²=(-3)²+adj²

16=9+adj²

16-9=adj²

adj²=7

adj=√7

from soh cah toa

cos∅=adj/hyp

cos∅=√7/4

Answer:

30 miles per hour

Step-by-step explanation:

You divide the distance by time to receive the average speed.

270 / 9 = 30

Answer:

The train travels 30 miles in 1 hour

Step-by-step explanation:

First, you take the miles and divided it by the hours. That will give you the average speed/MPH (miles per hour)

The decrease in diameter of the bar due to the applied load is -0.005434905d and the final diameter of the bar is 1.005434905d.

A compressive load of 80,000 lb is applied to a bar with a circular section of 0.75 in diameter and a length of 10 in.

if the modulus of elasticity of the bar material is 10,000 ksi and the Poisson's ratio is 0.3.

We have to determine the decrease in diameter of the bar due to the applied load.

Let d be the initial diameter of the bar and ∆d be the decrease in diameter of the bar due to the applied load, then the final diameter of the bar is d - ∆d.

Length of the bar, L = 10 in

Cross-sectional area of the bar, A = πd²/4 = π(0.75)²/4 = 0.4418 in²

Stress produced by the applied load,σ = P/A

= 80,000/0.4418

= 181163.5 psi

Young's modulus of elasticity, E = 10,000 ksi

Poisson's ratio, ν = 0.3

The longitudinal strain produced in the bar, ɛ = σ/E

= 181163.5/10,000,000

= 0.01811635

The lateral strain produced in the bar, υ = νɛ

= 0.3 × 0.01811635

= 0.005434905'

The decrease in diameter of the bar due to the applied load, ∆d/d = -υ

= -0.005434905∆d

= -0.005434905d

The final diameter of the bar,

d - ∆d = d + 0.005434905d

= 1.005434905d

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Answer:

94.25 feet.

Step-by-step explanation:

Answer:

y < -6x+21

Step-by-step explanation:

-12x-2y> -42

Add 12 x to each side

-12x+12x-2y>12x -42

-2y > 12x-42

Divide by -2 remembering to flip the inequality

-2y/-2 < 12x/-2 -42/-2

y < -6x+21

This is in slope intercept form

By identity,

(6x + 7y)(6x - 7y) = 36x² - 49y²

step - by - step multiplication,

Answer:

36x^2 - 49y^2

Step-by-step explanation:

(6x + 7y)(6x-7y)

= (6x × 6x) + (6x × -7y) + ( 7y × 6x) + ( 7y × -7y)

 = 36x^2 - 42xy + 42xy - 49y^2

= 36x^2 - 49y^2

By answering the presented question, we may conclude that equation Asymptotes: y = ±(3/9)x and y = ±(-3/9)x, which simplify to y = ±(1/3)x and y = ∓(1/3)x. and The hyperbola opens Vertically.

In mathematics, an equation is a statement that states the equivalence of two expressions. An equation is made up of two sides separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" contends that the phrase "2x + 3" equals the number "9." The purpose of equation solving is to identify the value or values of the variable(s) that will make the equation true. Simple or complicated equations, regular or nonlinear, with one or more components are all possible. For example, in the equation\("x2 + 2x - 3 = 0,\)" the variable x is raised to the second power. Lines are utilized in many areas of mathematics, including algebra, calculus, and geometry.

Center: (0,0)

Transverse axis length: 2a = 2*3 = 6

Conjugate axis length: 2b = 2*9 = 18

Vertices: (0,±3)

Foci: (0,±√18)

Asymptotes: y = ±(3/9)x and y = ±(-3/9)x, which simplify to y = ±(1/3)x and y = ∓(1/3)x.

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Using the formula for the crude birth rate we find out that the crude birth rate for the country Poland is 9.78.

It is given to us that -

There were 375,160 births in Poland

The population counted 38,346,279 people

We have to find out the crude birth rate for this country.

The crude birth rate of a country can be defined as the ratio between the number of live births that happened in a population for a given year and the total population of the country for that particular year and then multiplying the ratio by 1000.

So, the crude birth rate for the country, Poland with 375,160 births and population of 38,346,279 people can be given as -

\((\frac{375160}{38346279}) * 1000\\= 9.78\)

Therefore, the crude birth rate for the country Poland is 9.78.

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A longitudinal study is a type of research method used to observe changes in a given behavior or condition of a group of individuals over a period of time.

It is especially useful in resolving the limitation of a traditional correlational study in that it can provide evidence for the direction of a possible causal relationship between the variables. This is because the study is conducted over a period of time, which allows for the observation of changes in the variables over time, and the ability to determine which variable is causing the changes in the other. This can be done through the use of statistical tests, such as regression analysis, which can measure the strength of the correlation and the direction of the relationship. Additionally, longitudinal studies can also help to determine whether the sample size is sufficient, as well as whether the relationship between the variables is statistically significant.

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