Q:
Divide and simplify.
\( \frac{3}{5} \div \frac{27}{2} \)
Q:
Use the divisibility tests (this number is too large for most
calculators to divide correctly) to determine whether 2,3 ,
\( 4,5,6,8,9 \), or 10 divide the following:
1,256,957,844,024
Choose all correct results.
divisible by 5
divisible by 4
divisible by 9
divisible by 3
divisible by 6
divisible by 10
Q:
Samuel found the difference of the polynomials.
\( \left(15 x^{2}+11 y^{2}+8 x\right)-\left(7 x^{2}+5 y^{2}+2 x\right)=\square x^{2}+6 y^{2} \)
What value is missing from his solution?
Q:
\( \left. \begin{array} { l } { \lim _ { h \rightarrow 0 } \frac { f ( a + h ) - f ( a ) } { h } } \\ { f ( x ) = x ^ { 2 } - 1 , \quad a = 0 } \end{array} \right. \)
Q:
5xplica
Determina si cada afirmación es verdadera o fal-
sa. En caso de ser falsa, escribe un ejemplo que lo
muestre.
a. El polinomio \( x^{n}-y^{n} \) donde \( n \) es par no tiene
residuo 0 al dividirse entre \( x-y \). ( )
b. El polinomio \( x^{n}-y^{n} \) donde \( n \) es impar no tiene
residuo 0 al dividirse entre \( x-y \) ( ( )
c. El residuo de la división entre \( x^{n}+y^{n} y x+y \),
para \( n \) impar; nunca es 0 . ( )
d. El residuo de la división entre \( x^{n}+y^{n} y x+y \),
para \( n \) par, nunca es 0 .( )
Q:
aresenta en la recta real los siguientes intervalos
\[ \begin{array}{l}\text { a. }|x| \leq 2 \sqrt{2} \\ \text { c. } \mid-\pi, 2 \pi) \\ \text { e. }|x+5| \leq 15\end{array} \]
Q:
landscaping company. She plans to keep the
fertilizer in a large cylindrical storage tank, but
isn't sure how much it will hold. The tank is 10 feet
tall and the circular base has a radius of 5 feet.
What is the volume of her storage tank?
Q:
Consider the following product.
\[ 34_{\text {seven }} \cdot 66_{\text {seven }} \]
Determine the product using base 7.
\( 34_{\text {seven }} \cdot 66_{\text {seven }}=\square \) seven
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Q:
8. \( \lim _{x \rightarrow 0} \frac{e^{3+x}-e^{3}}{x} \)
10. \( \lim _{x \rightarrow 0} \frac{e^{\sin x}-1}{x} \)
Q:
Consider the following difference.
\[ 210_{\text {three }}-111_{\text {three }} \]
Determine the difference using base 3
\( 210_{\text {three }}-111_{\text {three }}=\square \) three
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