Which is the better buy? 2-meter piece of cord for $2.08 4-meter piece of cord for $4.32​

The pressure at sea level is considered to be 101.325 kPa, and as altitude increases, the pressure decreases accordingly.

At sea level, the pressure is referred to as standard atmospheric pressure. The value commonly used for standard atmospheric pressure is 101.325 kilopascals (kPa) or 1 atmosphere (atm).

This value is derived from the average pressure observed at sea level under standard atmospheric conditions.

As altitude increases, the pressure decreases due to the decrease in the density of air molecules in the atmosphere. This decrease in pressure with altitude is primarily caused by the decreasing weight of the air column above.

For every 8.5 kilometers of altitude gain, the pressure approximately halves.

The relationship between altitude and pressure can be described by the barometric formula, which is based on the ideal gas law and takes into account factors such as temperature variations.

However, for simplicity, the common approximation is to consider a linear relationship where the pressure decreases by about 1 kPa for every 10-meter increase in altitude.

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Based on the commission that Xavier receives from Art Van Furniture, the total value of the furniture sold is $5,500.

The commission that Xavier earns on his first $1,000 should be removed to be:

= 930 - (12% x 1,000)

= $810

This value of $810 is 18% of the balance of Xavier's sales:

= 810 / 18%
= $4,500

Added to the first $1,000, Xavier's total sales are:

= 4,500 + 1,000

= $5,500

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Answer:

0.80

Step-by-step explanation:

I did the math 5 times

Answer:

A

Step-by-step explanation:

Given a parabola in standard form

f(x) = ax² + bx + c ( a ≠ 0 )

then the x- coordinate of the vertex is

x = - \(\frac{b}{2a}\)

f(x) = x² + 8x ← is in standard form

with a = 1 , b = 8 , then

x = - \(\frac{8}{2}\) = - 4

substitute x = - 4 into f(x) for corresponding y- coordinate

f(- 4) = (- 4)² + 8(- 4) = 16 - 32 = - 16

vertex = (- 4, - 16 ) → A

Answer:

158 ribbons even half of one still counts.

Step-by-step explanation:

f(x+h) = (x+h)^2 - 1 = x^2 + 2hx + h^2 - 1, f(x+h) can be used to find the value of f(x) when x is increased by h.

To find f(x+h), we can substitute x+h into the function f(x) = x^2-1. This gives us f(x+h) = (x+h)^2 - 1

We can expand the square to get:

f(x+h) = x^2 + 2hx + h^2 - 1

Here is a more detailed explanation of how to find f(x+h):

f(x+h) can be used to find the value of f(x) when x is increased by h. For example, if x = 2 and h = 1, then f(x+h) = f(3) = 9.

f(x)+f(h):

f(x)+f(h) = x^2-1 + h^2-1 = x^2+h^2-2

Here is a more detailed explanation of how to find f(x)+f(h):

f(x)+f(h) can be used to find the sum of the values of f(x) and f(h). For example, if x = 2 and h = 1, then f(x)+f(h) = f(2)+f(1) = 5.

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Therefore, the maximum distance between Emma and Lily over the time interval 0<= t <= 15 is 22.8 units.

To answer this question, we need to know the position functions of Emma and Lily over the time interval 0<= t <= 15. Let's assume that Emma's position function is given by x(t) = 2t^2 + 5t and Lily's position function is given by y(t) = 3t^2 - 6t + 8. To find the maximum distance between Emma and Lily, we need to find the maximum value of the distance function between them. The distance between Emma and Lily at time t is given by D(t) = sqrt((x(t) - y(t))^2). Simplifying this expression, we get D(t) = sqrt((2t^2 + 5t - 3t^2 + 6t - 8)^2) = sqrt((t^2 + 11t + 64)^2). To find the maximum value of D(t) over the interval 0<= t <= 15, we can take the derivative of D(t) and set it equal to 0. After some calculations, we find that the maximum value of D(t) occurs at t = 7.5 seconds, and the maximum distance between Emma and Lily is approximately 22.8 units. Therefore, the maximum distance between Emma and Lily over the time interval 0<= t <= 15 is 22.8 units.

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Answer:

The answer would be Y=10

Answer:

B. Subset

Step-by-step explanation:

A(n) subset is a member of a set

The polynomial : y = 3.6088 x³  - 0.3494 x² + 7.7644 x + 2.1870

Given,

Table

MATLAB  code :

clc; clear all; x = [1.15; -1.95; 2.15; -0.8; 0.1]; y = [16.42; -41.1; 53.06; -5.8; 2.52]; % taking cube of x p =x³; % taking square of x q = x²; %combining all columns X = [p q x];  % model of the form ax³ + bX² + cx + d % fit model in linear model mdl = fitlm(X,y); % printing coeffecients of matrix mdl.Coefficients

The table is attached below .

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Answer:

Step-by-step explanation:

1.

\(4\sqrt{12}-\sqrt{50}-5\sqrt{48}\\\\4\sqrt{12}=8\sqrt{3}\\\\\sqrt{50}=5\sqrt{2}\\\\5\sqrt{48}=20\sqrt{3}\\\\=8\sqrt{3}-5\sqrt{2}-20\sqrt{3}\\\\\mathrm{Add\:similar\:elements:}\:8\sqrt{3}-20\sqrt{3}=-12\sqrt{3}\\\\=-12\sqrt{3}-5\sqrt{2}\)

2.

\(\sqrt{8}\sqrt{5}\sqrt{10}\\\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}\sqrt{b}=\sqrt{a\times b}\\\\=\sqrt{8\times \:5\times \:10}\\\\=\sqrt{400}\\\\\mathrm{Factor\:the\:number:\:}\:400=20^2\\\\=\sqrt{20^2}\\\\\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a\\\\\sqrt{20^2}=20\)

3.

\(\sqrt{45}+\sqrt{180}+\sqrt{80}\\\\\sqrt{45}=3\sqrt{5}\\\\\sqrt{180}=6\sqrt{5}\\\\\sqrt{80}=4\sqrt{5}\\\\=3\sqrt{5}+6\sqrt{5}+4\sqrt{5}\\\\\mathrm{Add\:similar\:elements:}\:3\sqrt{5}+6\sqrt{5}+4\sqrt{5}\\\\=13\sqrt{5}\)

9514 1404 393

Answer:

  (a) 6² +3² +1² +1² = 47

  (b) 5² +4² +2² +1² +1² = 47

  (c) 3³ +4² +2² = 47

Step-by-step explanation:

It can work reasonably well to start with the largest square less than the target number, repeating that approach for the remaining differences. When more squares than necessary are asked for, then the first square chosen may need to be the square of a number 1 less than the largest possible.

The approach where a cube is required can work the same way.

(a) floor(√47) = 6; floor(√(47 -6^2)) = 3; floor(√(47 -45)) = 1; floor(√(47-46)) = 1

__

(b) floor(√47 -1) = 5; floor(√(47-25)) = 4; ...

__

(c) floor(∛47) = 3; floor(√(47 -27)) = 4; floor(√(47 -43)) = 2

Answer:

So, I solved it and I got this:

Simplify the expression.

24 x^ 4

Step-by-step explanation:

hope this helps! have a great day!

Answer:

918

Step-by-step explanation:

To calculating the probability that 2 out of the 5 daughters of Alice and Louis IV are carriers for hemophilia A using the binomial probability formula.

The second paragraph explains the specific probabilities involved and how they are used in the formula to determine the desired probability. However, without additional information about the specific probabilities or inheritance patterns, it is not possible to provide an exact numerical calculation for the probability.

To determine the probability that 2 out of the 5 daughters of Alice and Louis IV are carriers for hemophilia A, we can use the concept of binomial probability.

The probability of a daughter being a carrier for hemophilia A is denoted as p, and the probability of a daughter not being a carrier is denoted as q. Since two daughters are carriers, the probability of a daughter being a carrier (p) is 2/7, and the probability of a daughter not being a carrier (q) is 1 - p = 1 - 2/7 = 5/7.

We can use the binomial probability formula to calculate the probability of exactly 2 out of the 5 daughters being carriers:

P(X = 2) = (5 choose 2) * (p^2) * (q^3)

Calculating this expression will give us the desired probability.

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Answer:

\({ \tt{ | |3x - 4| - 5 | > 1 }} \\ \\ { \tt{ |3x - 4| > 1 ±5}}\)

• Either |3x - 4| > 1 + 5 or |3x - 4| > 1 - 5

\({ \tt{ |3x - 4| > 6 \: \: or \: \: - 4}}\)

→ for |3x - 4| > 6:

\({ \tt{ |3x - 4| > 6}} \\ \\ { \tt{3x > 6±4}} \\ \\ { \boxed{ \tt{ \: x = \frac{10}{3} \: \: or \: \: \frac{2}{3} }}}\)

→ for |3x - 4| > -4:

\({ \tt{ |3x - 4| > - 4}} \\ \\ { \tt{3x > - 4±4}} \\ \\ { \boxed{ \tt{ \: x > 0 \: \: or \: \: - \frac{8}{3} }}}\)

Answer:

D: 96

Step-by-step explanation:

I got it right on edge 2020

Answer:

hi

Step-by-step explanation:

no

Answer:

the answer could be: 1,2,3,4,5,6,7. If you are not sure about the answer than substitute the number that you pick and solve as if it was a normal equation.

Step-by-step explanation:

4-(3*x)<25

example:

4-(3*1)<25

4-3<25

1<25

Answer:

-11x = -48 +15

x = (-48+15) / (-11)

x = -33 / -11

x= 3

hope that help

Step-by-step explanation:

4e88s45etds8sistzerse8rse85t8ss

Answer:

65 apples

Step-by-step explanation:

We Know

John has 8 boxes of apples.

Each box holds 10 apples.

If 5 of the boxes are full, and 3 of the boxes are half full, how many apples does John have?

Let's solve

5 boxes are full: 5 x 10 = 50 apples

3 boxes are half full = 3(1/2 · 10) = 15 apples

50 + 15 = 65 apples

So, John has 65 apples.

Answer: 15,552 inches cubed

Hope this helps!

Answer:

y = - 2x + 17

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 2, then

y = - 2x + c ← is the partial equation

To find c substitute (6, 5) into the partial equation

5 = - 12 + c ⇒ c = 5 + 12 = 17

y = - 2x + 17 ← equation of line

Therefore, the length of each of the three remaining sides is 46/3 inches, or approximately 15.33 inches.

Perimeter is a term used in geometry to describe the total length of the boundary of a two-dimensional shape. It is the sum of the lengths of all the sides of the shape. The concept of perimeter is important in many practical applications, such as construction, landscaping, and engineering. For example, when building a fence around a garden, the perimeter of the garden would be the length of the fence needed to enclose it. In engineering, the perimeter of a structure or component can help determine the amount of material needed to build or repair it.

Here,

Let's label the sides of the kite as follows:

Side A: the side with a length of 18 inches

Side B: one of the remaining sides

Side C: the other remaining side

Side D: the remaining side that is opposite to Side A

We are told that the perimeter of the kite is 82 inches. The perimeter is the sum of the lengths of all four sides, so we can write:

Perimeter = Side A + Side B + Side C + Side D

Substituting the values we know, we get:

82 = 18 + Side B + Side C + Side D

We also know that Side B, Side C, and Side D add up to the same length as Side A, since the kite is symmetrical. That is:

Side A = Side B + Side C + Side D

Substituting Side A = 18, we get:

18 = Side B + Side C + Side D

Now we have two equations:

82 = 18 + Side B + Side C + Side D

18 = Side B + Side C + Side D

We can subtract the second equation from the first to eliminate Side B, Side C, and Side D:

82 - 18 = 18 + Side B + Side C + Side D - (Side B + Side C + Side D)

64 = Side A

So the length of each of the three remaining sides is:

Side B = Side C = Side D = (Side A - 18)/3 = (64 - 18)/3 = 46/3

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Answer:

4.5 cups of flour now.

Step-by-step explanation:

Trevor has 7.375 - 2.875 = 4.5 cups of flour now.

Answer:

Trevor has 4 ½ cups of flour now.

Step-by-step explanation:

To find the amount of flour Trevor has after using 2 ⅞ cups, we need to subtract 2 ⅞ cups from 7 ⅜ cups.

7 ⅜ cups - 2 ⅞ cups = 4 ½ cups

So, Trevor has 4 ½ cups of flour now.

The Law of Sines says that for a given triangle, the ratio between the sine of an angle and the length of the opposite side is the same for all three angles in a triangle. the sine values of all three internal angles will be the samethe sine values of all three internal angles will be proportional to each otherthe ratio between the sine of the angle and the opposite side will match for all three internal anglesthe sine values of all three angles will be different

In a triangle, we have three angles and three sides. The Law of Sines says that for any triangle, the ratio between the sine of an angle and the length of the opposite side will be the same for all three angles. In other words, the sine values of each angle are proportional to the length of the opposite side.

To put this in mathematical terms, let's consider a triangle with angles A, B, and C, and sides a, b, and c respectively. The Law of Sines can be written as:

sin(A)/a = sin(B)/b = sin(C)/c

This means that if we know the length of any two sides and the measure of the angle opposite one of those sides, we can use the Law of Sines to find the measure of the other angles and sides.

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Polynomials are  closed under the operations of addition, subtraction, and multiplication, polynomials constitute a system similar to that of integers.

Polynomial exponents are whole numbers.

The fact that addition is closed for the whole numbers ensures that the resultant exponents will also be whole numbers. Polynomials are hence closed under addition.

Polynomials will be closed under an operation if the operation produces another polynomial.

If we subtract 2 polynomials, the result is a polynomial. Therefore, they are also closed under subtraction.

Polynomials are an algebraic equation that has more than two terms, particularly the accumulation of numerous phrases that each include a different power of the same variable (s).

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Answer:

many solutions

Step-by-step explanation: