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4. Write the following numbers:
\( \begin{array}{ll}\text { a) } 5 \text { more than } 9999 & \text { b) } 6 \text { less than } 10004 \\ \text { c) } 40 \text { more than } 9980 & \text { d) } 8 \text { less than } 10181 \\ \text { e) } 8 \text { more than } 99999 & \text { f) } 9 \text { less than } 100005 \\ \text { g) } 200 \text { more than } 99998 & \text { h) } 150 \text { less than } 10010 \\ \text { i) } 300 \text { less than } 990000 & \text { j) } 10000 \text { less than } 890 \\ \text { k) } 1000 \text { more than } 99999 & \text { i) } 2000 \text { less than } 200\end{array} \)
Arithmetic
Jan 21, 2025
Create a coordinate grid with a scale of 5 on each axis.
On that grid, draw a rectangle with a length of 30 and a width of 15
Make sure your vertices are NOT numbers that end in 5 or 0 .
Name the vertices on the grid.
Geometry
Jan 20, 2025
Evaluate \( 4+(m-n)^{4} \) when \( m=7 \) and \( n=5 \).
The value of the expression is \( \square \)
Algebra
Jan 19, 2025
If a car has an acceleration function of \( a(t) = 6t \), what is its velocity function assuming it starts from rest?
Calculus
Jan 18, 2025
B2 [Modéliser.]
Dans un club sportif regroupant 250 adhérents, on
choisit un membre au hasard et on considère les événe-
ments suivants:
- F : «l'adhérent est une femme »;
- J : «l'adhérent est un jeune »;
- C : «l'adhérent participe à des compétitions ».
On sait que 115 adhérents sont des femmes, 75 sont des
jeunes et 45 sont des jeunes femmes.
1. Déterminer la probabilité \( \mathrm{P}_{J}(\mathrm{~F}) \) et \( \mathrm{P}_{\mathrm{J}}(\overline{\mathrm{F}}) \).
2. Parmi les femmes, il y a 50 compétiteurs.
En tout, 45 jeunes sont compétiteurs, dont 25 femmes.
100 hommes ne font pas de compétition.
a. Réaliser un diagramme de Venn présentant la réparti-
tion des membres dans le club.
b. En déduire la probabilité que le membre soit un
homme sachant que c'est un jeune compétiteur.
c. Quelle est la probabilité que le membre soit un
homme sachant que c'est un compétiteur?
3. Combien d'arbres pondérés faisant intervenir F, J
et C peut-on imaginer?
Probability
Jan 18, 2025
5.3 Prove, WITHOUT using a calculator, that
\( \frac{\cos 100 \cdot \sin 120}{\sin 190 \cdot \tan 210 \cdot \sin 315}=\frac{3 \sqrt{2}}{2} \)
5.4 Given the identity: \( \frac{\sin \theta-\tan \theta \cdot \cos ^{3} \theta}{\cos \theta-1+\sin ^{1} \theta}=\tan \theta \)
5.4.1 Prove the above identity.
5.4.2 For which values of \( \theta \) will the identity be undefined?
Trigonometry
Jan 15, 2025
1.3 Given that: \( m=x(x-y)^{2} \)
Algebra
Jan 15, 2025
Math Essentials and How UpStudy Enhances Your Learning
Who Invented Math?
Math was less invented than found. Its roots are in prehistoric societies including Greece, Babylonia, and Egypt where early mathematical ideas including geometry, arithmetic, and simple number systems first found expression. While building on past contributions by others who came before, Euclid and Pythagoras were crucial in establishing mathematical theory during this age; today Carl Friedrich Gauss and Terence Tao continue to greatly enhance modern math.
What Does 'Mean' Mean in Math?
In math, the 'mean' is a type of average. To calculate the mean, you add all the numbers in a set together and divide by the number of values. This gives you a single number that represents the central tendency of the data. For example, if five students have scores of 8, 9, 5, 6, and 7, you add them up (35) and divide by 5, which gives a mean of 7. It’s an essential tool in statistics and helps summarize a set of data with just one number.
What Does 'Product' Mean in Math?
In math, the 'product' refers to the result you get when two or more numbers (called factors) are multiplied together. For example, the product of 2 and 3 is 6, since 2 × 3 = 6. The product is an essential concept in many areas of math, including algebra and geometry. It’s useful in everyday life too, such as when calculating the total cost of multiple items or determining the area of a rectangle.
How Can UpStudy Math Homework Bank Help You?
UpStudy Math Homework Bank is an invaluable tool for students aiming to excel at their math homework. By offering step-by-step solutions, students can quickly learn how to solve problems, understand key concepts, and enhance their problem-solving abilities. With basic arithmetic to advanced calculus topics covered on this platform - whether you need help solving an equation or want a revision ahead of an upcoming test - UpStudy Math Homework Bank provides the resources you need for success!
