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All fields Software Mathematics Physics Chemistry Biology Engineering Astronomy Environmental Other Mathematics Mathematics groups

Explore STEM Content

Search the community's STEM library — free to study, yours to make your own.

Mathematics

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Mathematics: explore STEM content (page 19 of 23) · openstem

Quiz5 questions

What is the simplest form of the ratio 10:15?

A2:3B10:15C3:2D5:10

Mathematics

Mathematics · L2 · Ratios & Unit Rates

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Mathematics · L2 · Ratios & Unit Rates

Flashcards10 cards

What is a dot product u·v, and what does it measure?1 / 10

u·v = Σ uᵢvᵢ = |u||v|cos θ. It measures the component of one vector in the direction of the other. u·v = 0 iff u ⊥ v.

Mathematics

Mathematics · L4 · Linear Algebra — Vectors & Matrices

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Mathematics · L4 · Linear Algebra — Vectors & Matrices

Flashcards7 cards

What do we call it when the long hand points to 12 and the short hand points straight at a number?1 / 7

We call it an "o'clock" time. For example, when the short hand points to 4 and the long hand points to 12, it is 4 o'clock.

Mathematics

Mathematics · L1 · Telling Time & Calendars

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Mathematics · L1 · Telling Time & Calendars

Flowchart7 objects

Mathematics

Mathematics · L1 · How Many Are Left?

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Mathematics · L1 · How Many Are Left?

Quiz6 questions

Which type of circle should you draw at the boundary when graphing x ≥ 4?

AOpen circleBClosed (filled) circleCNo circle neededDA square marker

Mathematics

Mathematics · L2 · Graphing Inequalities on a Number Line

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Mathematics · L2 · Graphing Inequalities on a Number Line

Flowchart11 objects

Mathematics

Mathematics · L2 · Evaluating an Expression by Substitution

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Mathematics · L2 · Evaluating an Expression by Substitution

Note~78 words · 1 min

The normal distribution Heights, exam scores, measurement errors: lots of measurements cluster around a middle value and taper off evenly on both sides. That shape has a name and an equation.

Mathematics

Mathematics · L3 · The Bell Curve

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Mathematics · L3 · The Bell Curve

Collection2 items

01Mathematics · L4 · Calculus I — Limits & Derivatives

02Mathematics · L4 · Calculus — Integration Techniques

Mathematics

Mathematics · L4 · Single-Variable Calculus

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Mathematics · L4 · Single-Variable Calculus

Flowchart7 objects

Mathematics

Mathematics · L2 · Multi-Step Equations & Inequalities · flowchart

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Mathematics · L2 · Multi-Step Equations & Inequalities · flowchart

Flowchart15 objects

Mathematics

Mathematics · L1 · Sorting with Venn Diagrams · flowchart

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Mathematics · L1 · Sorting with Venn Diagrams · flowchart

Flowchart13 objects

Mathematics

Mathematics · L3 · Solving a Rational Equation

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Mathematics · L3 · Solving a Rational Equation

Flowchart9 objects

Mathematics

Mathematics · L1 · Basic 2D Shapes

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Mathematics · L1 · Basic 2D Shapes

Flowchart11 objects

Mathematics

Mathematics · L3 · Sampling & Statistical Inference Basics · flowchart

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Mathematics · L3 · Sampling & Statistical Inference Basics · flowchart

Flowchart20 objects

Mathematics

Mathematics · L4 · Model selection and validation pipeline

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Mathematics · L4 · Model selection and validation pipeline

Flowchart11 objects

Mathematics

Mathematics · L3 · Algorithms & Big-O Basics · flowchart

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Mathematics · L3 · Algorithms & Big-O Basics · flowchart

Quiz6 questions

Which two things must you prove to complete a proof of P(n) by mathematical induction?

AThat P(1) is true and that P(100) is trueBThat P(1) is true (base case), and that P(k) true implies P(k + 1) true (inductive step)CThat P(n) is true, checked separately for every individual nDThat P(n) is false for at least one value of n

Mathematics

Mathematics · L3 · Mathematical Induction

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Mathematics · L3 · Mathematical Induction

Flowchart12 objects

Mathematics

Mathematics · L3 · Systems of Linear Equations · flowchart

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Mathematics · L3 · Systems of Linear Equations · flowchart

Quiz6 questions

A matrix has 4 rows and 2 columns. What are its dimensions?

A2 × 4B4 × 2C4 × 4D8 × 1

Mathematics

Mathematics · L3 · Introduction to Matrices

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Mathematics · L3 · Introduction to Matrices

Flowchart15 objects

Mathematics

Mathematics · L4 · p-values and statistical significance: what they really mean · flowchart

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Mathematics · L4 · p-values and statistical significance: what they really mean · flowchart

Quiz5 questions

What ordered pair names a point 3 units right and 5 units up from the origin?

A(5, 3)B(3, 5)C(−3, 5)D(3, −5)

Mathematics

Mathematics · L2 · The Coordinate Plane

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Mathematics · L2 · The Coordinate Plane

Flowchart9 objects

Mathematics

Mathematics · L3 · Complex Number Operations · flowchart

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Mathematics · L3 · Complex Number Operations · flowchart

Flashcards8 cards

What is a number bond?1 / 8

A number bond is a pair of numbers that add together to make a target number. For example, 3 and 7 are a number bond to 10, because 3 + 7 = 10.

Mathematics

Mathematics · L1 · Number Bonds to 10 and 20

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Mathematics · L1 · Number Bonds to 10 and 20

Quiz5 questions

You have 1 quarter, 2 dimes, and 1 nickel. How much money do you have in total?

A45¢B50¢C55¢D60¢

Mathematics

Mathematics · L1 · Money & Making Change

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Mathematics · L1 · Money & Making Change

Flashcards8 cards

What is the distance formula, and how is it related to the Pythagorean theorem?1 / 8

The distance between two points is the hypotenuse of a right triangle whose legs are the horizontal gap |x₂ − x₁| and the vertical gap |y₂ − y₁| between the points.

Mathematics

Mathematics · L3 · Coordinate Geometry

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Mathematics · L3 · Coordinate Geometry

Flowchart9 objects

Mathematics

Mathematics · L1 · Comparison Word Problems: More & Fewer · flowchart

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Mathematics · L1 · Comparison Word Problems: More & Fewer · flowchart

Quiz5 questions

Which pair of properties must match for two figures to be similar?

AEqual angles and proportional sidesBEqual angles and equal sidesCEqual sides only, angles can differDEqual area only

Mathematics

Mathematics · L2 · Scale Drawings & Similar Figures

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Mathematics · L2 · Scale Drawings & Similar Figures

Note~252 words · 1 min

|x| is a distance |x| is how far x sits from 0 on the number line. Distances are never negative, so |x| ≥ 0 always. Equations: two points, two cases Two different points sit distance b from a: one above, one below. So the equation splits. W

Mathematics