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3 years ago

In y=mx+b what does the b represent?

2 answers:

7 0

In this formula, the m represents the slope of the line and the b represents the y value where x is equal to zero. This value is otherwise known as the y-intercept

Anestetic [448]3 years ago

4 0

B= y-intercept
mx= Slope

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Which of the following can you determine, when you use deduction and start from a given set of rules and conditions?

adell [148]

Deductive reasoning involves starting from a set of rules and conditions to establish what must be true. It involves elimination method of any scenarios given.

From the definition of deductive reasoning, A. is the correct answer to the current question.

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3 years ago

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Mary rolled three 1-6 cubes at the same time . She rolled 5,1 and 6 . Which list shows all the possible three-digit numbers she

Aleksandr [31]

Answer:

list no shows by three cube={1,1,1}

Step-by-step explanation:

three cubes rolled at same time

it gives these value {1,1,1},{1,,1,2},{1,1,3},{1,1,4},{1,1,5},{1,1,6},{1,2,1},{1,3,1},{1,4,1},{1,5,1},{1,6,1},{2,1,1},{3,1,1},{4,1,1},{5,1,1},{6,1,1}

list no shows by three cube={1,1,1} answer

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3 years ago

Peters glasses each hold 8 fluid ounces how many glasses of juice can peter pour from a bottle that holds 2 quarts

soldi70 [24.7K]

There are 4 cups in a quart so he can pour 8 glasses of juice :p

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3 years ago

The hypotenuse of a right triangle is 26m and the sum of its legs is 34m. Find the legs.

marysya [2.9K]

Answer: If you need to find the length of the hypotenuse of a right triangle, you can use the Pythagorean theorem if you know the length of the other two sides. Square the length of the 2 sides, called a and b, then add them together. Take the square root of the result to get the hypotenuse

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3 years ago

Let ρ = x3 + xe−x for x ∈ (0, 1), compute the center of mass.

hram777 [196]

The center of mass is mathematically given as

$\bar{x}=\left(\frac{44 e-100}{25 e-40}\right)\end{aligned}$

<h3>What is the center of mass.?</h3>

Determine the center of mass in one dimension:

Represent the masses at the respective distances.

$\begin{|c|c|} Masses \ & \ \ \ \ \ \ \ \ \ \ \ \ \ \ Located at \\\rho=x^{3}+x \cdot e^{-x} & \ \ \ \ x \in(0,1)$ \\\end$

We calculate the total mass of the system.

$\begin{aligned}m &=\int_{0}^{1} \rho \cdot d x \\& m =\int_{0}^{1}\left(x^{3}+x \cdot e^{-x}\right) \cdot d x \\&m =\left|\frac{x^{4}}{4}-(x+1) e^{-x}\right|_{0}^{1} \\&m =\left(\frac{5}{4}-\frac{2}{e}\right)\end{aligned}$

Step 03: Calculate the moment of the system.

$\begin{aligned}M &=\int_{0}^{1}(\rho \cdot x) \cdot d x \\& M=\int_{0}^{1}\left(x^{4}+x^{2} \cdot e^{-x}\right) \cdot d x \\&M =\left|\frac{x^{5}}{5}-\left(x^{2}-2 x+2\right) \cdot e^{-x}\right|_{0}^{1} \\&M=\left(\frac{11}{5}-\frac{5}{e}\right)\end{aligned}$

we calculate the center of mass.

$\begin{aligned}\bar{x} &=\left(\frac{M}{m}\right) \\& \bar{x}=\left\{\left(\frac{\left.11-\frac{5}{5}\right)}{\left(\frac{5}{4}-\frac{2}{e}\right)}\right\}\right.\\& \bar{x}=\left(\frac{11 e-25}{5 e}\right) \cdot\left(\frac{4 e}{5 e-8}\right) \\&\bar{x}=\left(\frac{44 e-100}{25 e-40}\right)\end{aligned}$