Expression

Problem 1

Calculate $31 - 8$ .

See Solution

Problem 2

Calculate $-2^{5} \div 4$ .

See Solution

Problem 3

Calculate $(4+27)-32$ .

See Solution

Problem 4

Find the $z$ -score for $x=7$ given a random variable $X$ with mean 4 and standard deviation 2.

See Solution

Problem 5

Evaluate $\frac{n p}{n+p}$ for $n=9$ and $p=15$ .

See Solution

Problem 6

Multiply and simplify $(2x - 5)(3x - 3)$

See Solution

Problem 7

Calculate $\frac{16^{7}+8^{9}-(-4)^{13}-(-2)^{25}}{2^{7} \cdot(-4)^{4} \cdot 4^{5}+(-16)^{6}}$ .

See Solution

Problem 8

Calculate the integral $\int_{2}^{3} 3 x^{2} d t$ .

See Solution

Problem 9

Calculate the integral $\int \tan^{3} x \sec x \, dx$ .

See Solution

Problem 10

What is the result of $9-3 \div \frac{1}{3}+1$ ?

See Solution

Problem 11

Expand the expression $(x-5)(x+2)$ .

See Solution

Problem 12

Calculate $31 - 8$ .

See Solution

Problem 13

Calculate $\frac{32}{4}$ .

See Solution

Problem 14

Calculate $2^{5} \div 4$ .

See Solution

Problem 15

Calculate $(4+27)-\frac{32}{4}$ .

See Solution

Problem 16

Calculate $-2^{5} \div 4$ .

See Solution

Problem 17

Calculate $-32 \div 4$ .

See Solution

Problem 18

Find the integral of $-\frac{1}{5} \sin u \, du$ .

See Solution

Problem 19

Calculate $\left((1^{4} \times 2^{2})+3^{3}\right)-\frac{2^{5}}{4}$ .

See Solution

Problem 20

Calculate $\frac{16^{7}+8^{9}-(-4)^{13}-(-2)^{25}}{2^{7} \cdot(-4)^{4} \cdot 4^{5}+(-16)^{6}}$ .

See Solution

Problem 21

Calculate the value of $(1^{4} \times 2^{2}+3^{3})-2^{5} \div 4$ and $6 \div 2(1+2)$ .

See Solution

Problem 22

Calculate $31 - \frac{32}{4}$

See Solution

Problem 23

Multiply and simplify $(2x - 5)(3x - 3)$ .

See Solution

Problem 24

Multiply and simplify: $(2x - 5)(3x - 3)$

See Solution

Problem 25

Calculate $\frac{6}{2}(1+2)$ .

See Solution

Problem 26

Expand $(x-5)(x+2)$ using the FOIL method.

See Solution

Problem 27

Multiply and simplify: $(2x - 5)(3x - 3)$ .

See Solution

Problem 28

Calculate $1^{4} \times 2^{2} + 3^{3}$ .

See Solution

Problem 29

Calculate $(1 \times 4) + 27$ .

See Solution

Problem 30

Calculate $1 \times 4 - 7$ .

See Solution

Problem 31

Calculate $1 \times 4 + 27$ .

See Solution

Problem 32

Calculate $\left((1^{4} \times 2^{2})+3^{3}\right)-(2^{5} \div 4)$ .

See Solution

Problem 33

Multiply and simplify $(2x - 5)(3x - 3)$ .

See Solution

Problem 34

Multiply and simplify $(2x-5)(3x-3)$ .

See Solution

Problem 35

Multiply and simplify: $(2x-5)(3x-3)$ .

See Solution

Problem 36

What is the value of $6 \div 2(1+2)$ ?

See Solution

Problem 37

Solve $60 \div 2(3+7)$ .

See Solution

Problem 38

Calculate $(1^{4} \times 2^{2} + 3^{3}) - 2^{5} \div 4$ .

See Solution

Problem 39

Calculate $31 - 32 \div 4$ .

See Solution

Problem 40

Calculate $(4+27)-32 \div 4$ .

See Solution

Problem 41

Multiply and simplify $(2 x-5)(3 x-3)$ .

See Solution

Problem 42

甲、乙兩地相距 $7 \frac{1}{2}$ 公里，爸爸駕車走了 $1 \frac{1}{2}$ 公里，求他走了全程的幾分之幾？

See Solution

Problem 43

Find the integral $\int \sin (3 x) d x$ . Choose from: (a) $3 \cos (3 x)+C$ , (b) $\frac{1}{3} \cos (3 x)+C$ , (c) $-3 \cos (3 x)+C$ , (d) $-\frac{1}{3} \cos (3 x)+C$ .

See Solution

Problem 44

Calculate the integral $\int_{1}^{5} \frac{x-1}{x} dx$ and choose the correct answer: (a) $5-\ln 5$ , (b) $4-\ln 5$ , (c) $2-\ln 5$ , (d) $1-\ln 5$ .

See Solution

Problem 45

Find the limit: $\lim _{x \rightarrow 1} \frac{2 \cdot \ln (x)}{\mathrm{e}^{x}-1}$ . Options: (a) $\frac{2}{e}$ (b) 1 (c) 0 (d) nonexistent.

See Solution

Problem 46

Find the limit: $\lim _{x \rightarrow \infty} \frac{4 \cdot \ln (x)+4}{3 x}$ . Choose (a) 2, (b) -2, (c) 0, or (d) nonexistent.

See Solution

Problem 47

Simplify $\frac{36 a^{3} b^{2} x}{27 a b^{3} y}$ .

See Solution

Problem 48

Express $\tan 35^{\circ}+\tan 55^{\circ}$ using $k$ if $\cos 35^{\circ}=k$ .

See Solution

Problem 49

Simplify $(3 x^{2}-16 x+21) \div (x-3)$ .

See Solution

Problem 50

Calculate the value of $\frac{8}{5} : \frac{14}{-3} \cdot \frac{8}{14}$ .

See Solution

Problem 51

Expand the expression $(x-5)(x+2)$ .

See Solution

Problem 52

Convert the following Roman numerals to Arabic numerals: III, VII, XIV, XVI, XIX, XXI, XXIX, XXXV, XLIII, XLVII, LII, LIX.

See Solution

Problem 53

Calculate $-\frac{3}{5}:(0.25-\frac{3}{6}): 4 \frac{2}{3}$ .

See Solution

Problem 54

Find the limit: $\lim _{x \rightarrow \pi} \frac{\cos x+\sin (2 x)+1}{x^{2}-\pi^{2}}$ . What is it?

See Solution

Problem 55

What is the difference between 20,400,000 and 2,400,000? Round the answer to the nearest hundred thousand.

See Solution

Problem 56

Find the difference between 20,400,000 and 2,400,000, then round to the nearest hundred thousand.

See Solution

Problem 57

Tentukan apakah pernyataan berikut benar atau salah berdasarkan sifat asosiatif: $13 \times 7=7 \times 13$ , $9 \times(7-3)=(9 \times 7)-(9 \times 3)$ , $3 \times(5 \times 7)=(3 \times 5) \times 7$ , $[-50+160]: 4 \times(-2)$ .

See Solution

Problem 58

12. Hitung $7-(-5)+(-2) \times 4=\ldots$
13. Temukan nilai $\sqrt[3]{64}-\sqrt{64}+\sqrt{36}$ adalah .............

See Solution

Problem 59

Calculate $17 \times 5 + 3$ .

See Solution

Problem 60

Simplify the expression $\left(2^{-1} \times 5^{-1}\right)^{-1} \div 4^{-1}$ .

See Solution

Problem 61

Evaluate: $\left\{[(-3) / 2]^{2}\right\}^{-3}$

See Solution

Problem 62

Evaluate: $(-2 / 7)^{-4} \times(-5 / 7)^{2}$ , $(-1 / 4)^{-3} \times(-1 / 4)^{-2}$ , and $\left\{[(-3) / 2]^{2}\right\}^{-3}$ .

See Solution

Problem 63

Find the equivalent expression for $9^{\frac{3}{4}}$ from the options: A) $\sqrt[3]{9}$ B) $\sqrt[4]{9}$ C) $\sqrt{3}$ D) $3 \sqrt{3}$ .

See Solution

Problem 64

Calculate $6 * 20$ .

See Solution

Problem 65

What is the market price of ¥ 2,000 stocks for 98 shares?

See Solution

Problem 66

Find the sum of the perimeters of the four triangles formed by the diagonals of square $A B C D$ . Choices: A. $2+2 \sqrt{2}$ B. $8+4 \sqrt{2}$ C. $8+8 \sqrt{2}$ D. 16

See Solution

Problem 67

Ms. Mhurn Talagon bought 50 ACTS bonds. What is her total investment if the commission is \$155.00?

See Solution

Problem 68

Calculate $6 \times Rm\ 910 \div 4$ .

See Solution

Problem 69

Sergio tiene 4 cajas con 4 filas y 4 jarras por fila. ¿Cuántas jarras hay en total? $4 \times 4 \times 4$

See Solution

Problem 70

Calculate $\frac{\left(5\left(\frac{1}{2}\right)^{2}+\frac{9 \frac{3}{4}}{3}-8\left(\frac{1}{4}\right)^{2}\right)^{2}}{3^{-1}}$ .

See Solution

Problem 71

Calculate the expression: $\left(5\left(\frac{1}{2}\right)^{2}+\frac{9 \frac{3}{4}}{3}-8\left(\frac{1}{4}\right)^{2}\right)^{\frac{1}{2}}$

See Solution

Problem 72

Calculate the expression: $-3 \cdot[8+4 \cdot(-2-5)]$

See Solution

Problem 73

Calculate $\left(-\frac{3}{5}-\frac{4}{5}\right) \div \frac{14}{25}$ .

See Solution

Problem 74

Calcola il perimetro di un rombo con lato $10,5 \mathrm{~cm}$ e il perimetro di un parallelogramo con lati $160 \mathrm{~cm}$ e $13,9 \mathrm{~dm}$ .

See Solution

Problem 75

Calculate the expression $(-7+4)-[(-9+2)-(4-3)]$ .

See Solution

Problem 76

Calculate the expression $(-1-3) \cdot[(-7) \cdot(-9)+8 \cdot(3-9)]$ .

See Solution

Problem 77

Calculate $(3 \times 10^{199}) + (2 \times 10^{201})$ and express the result in standard form.

See Solution

Problem 78

Calculate the result of $5 - 2$ .

See Solution

Problem 79

Find the derivative of $y$ with respect to $x$ for the expression $x+\ln |x-3|+\frac{2}{x-3}$ .

See Solution

Problem 80

Développe $(x+1)^{2}-(x-1)^{2}$ et utilise-le pour calculer $203^{2}-201^{2}$ .

See Solution

Problem 81

Soit $n$ un entier. Trouve l'entier précédent et suivant de $n$ . Prouve que la somme de 3 entiers consécutifs est un multiple de 3.

See Solution

Problem 82

Convert the ratio $3:8$ into a percentage. Choose one: a. $22,5 \%$ b. $19 \%$ c. $27 \%$ d. $37,5 \%$

See Solution

Problem 83

How many years are in a decade? Options: 10, 5, 20, 15.

See Solution

Problem 84

Calculate $15 \times 10$ .

See Solution

Problem 85

Calculate the product of 15 and 70. What is $15 \times 70$ ?

See Solution

Problem 86

What is the sum of $42.6 + 0.45 + 30.22$ ? Provide your answer.

See Solution

Problem 87

Identify the even number from this list: 113-144, $330-366$ , 471-510, $890-899$ .

See Solution

Problem 88

The next odd number after 37 is: 39.

See Solution

Problem 89

What is the value of 7 in the product of 2.7 and $10^{2}$ ? A. 0.007 B. 0.07 C. 7 D. 70

See Solution

Problem 90

Round 2.078 to the hundredths place. Options: M. 2.10, P. 2.08, R. 2.07, S. 2.00.

See Solution

Problem 91

Calculate: $64 \div(15-5+12 \div 2)+9 \times 2-1$ . What is the result?

See Solution

Problem 92

Multiply and simplify $(2 x-5)(3 x-3)$ .

See Solution

Problem 93

Une piscine de dimensions $30 \mathrm{dm} \times 54 \mathrm{dm}$ doit être recouverte de carreaux carrés.
(a) Décompose $30$ en facteurs premiers. (b) Décompose $54$ en facteurs premiers. (c) Quel est le plus grand diviseur commun de $30$ et $54$ ?
Quelle est la taille maximale des carreaux en dm et combien en faut-il pour couvrir le fond ?

See Solution

Problem 94

Réduis la fraction $\frac{280}{224}$ en utilisant les facteurs premiers de 280 et 224.

See Solution

Problem 95

Multiply the mixed numbers: $3 \frac{2}{5} \times 354 \frac{2}{5}$ .

See Solution

Problem 96

Calculate $354 \frac{2}{5} - \left(114 \frac{2}{10} + 150 \frac{2}{15}\right)$ .

See Solution

Problem 97

Calculate the sum of $\frac{2}{5}$ and $\frac{12}{7}$ .

See Solution

Problem 98

Find the largest common factor of $3 x^{3} y + 2 x^{2} y^{2}$ . Options: a) $6 x^{3} y^{2}$ , b) $6 x^{5} y^{3}$ , c) $x^{2} y$ , d) $x^{3} y^{2}$ , e) $2 x^{2} y$ .

See Solution

Problem 99

Calculate the sum: $\frac{2}{5}+\frac{21}{7}$ .

See Solution

Problem 100

Combine the following mixed numbers and fractions to lowest terms:
1. $\frac{2}{5}+\frac{12}{7}$
2. $\frac{9}{10}+\frac{11}{12}$
3. $25 \frac{3}{5}+39 \frac{3}{5}$
4. $\frac{15}{20}+\frac{6}{15}$
5. $3 \frac{5}{9}+6 \frac{10}{14}$
6. $4 \frac{1}{12}+\frac{1}{6}$
7. $6 \frac{2}{3}+19 \frac{1}{9}+2 \frac{4}{6}$
8. $15 \frac{3}{4}+\frac{5}{6}+11 \frac{6}{12}$

See Solution

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Expression

Problem 1

Calculate 31−8 31 - 8 31−8.

Problem 2

Calculate −25÷4 -2^{5} \div 4 −25÷4.

Problem 3

Calculate (4+27)−32 (4+27)-32 (4+27)−32.

Problem 4

Find the z z z-score for x=7 x=7 x=7 given a random variable X X X with mean 4 and standard deviation 2.

Problem 5

Evaluate npn+p \frac{n p}{n+p} n+pnp​ for n=9 n=9 n=9 and p=15 p=15 p=15.

Problem 6

Multiply and simplify (2x−5)(3x−3) (2x - 5)(3x - 3) (2x−5)(3x−3)

Problem 7

Calculate 167+89−(−4)13−(−2)2527⋅(−4)4⋅45+(−16)6 \frac{16^{7}+8^{9}-(-4)^{13}-(-2)^{25}}{2^{7} \cdot(-4)^{4} \cdot 4^{5}+(-16)^{6}} 27⋅(−4)4⋅45+(−16)6167+89−(−4)13−(−2)25​.

Problem 8

Calculate the integral ∫233x2dt \int_{2}^{3} 3 x^{2} d t ∫23​3x2dt.

Problem 9

Calculate the integral ∫tan⁡3xsec⁡x dx \int \tan^{3} x \sec x \, dx ∫tan3xsecxdx.

Problem 10

What is the result of 9−3÷13+1 9-3 \div \frac{1}{3}+1 9−3÷31​+1?

Problem 11

Expand the expression (x−5)(x+2)(x-5)(x+2)(x−5)(x+2).

Problem 12

Calculate 31−8 31 - 8 31−8.

Problem 13

Calculate 324 \frac{32}{4} 432​.

Problem 14

Calculate 25÷42^{5} \div 425÷4.

Problem 15

Calculate (4+27)−324 (4+27)-\frac{32}{4} (4+27)−432​.

Problem 16

Calculate −25÷4-2^{5} \div 4−25÷4.

Problem 17

Calculate −32÷4-32 \div 4−32÷4.

Problem 18

Find the integral of −15sin⁡u du-\frac{1}{5} \sin u \, du−51​sinudu.

Problem 19

Calculate ((14×22)+33)−254 \left((1^{4} \times 2^{2})+3^{3}\right)-\frac{2^{5}}{4} ((14×22)+33)−425​.

Problem 20

Calculate 167+89−(−4)13−(−2)2527⋅(−4)4⋅45+(−16)6 \frac{16^{7}+8^{9}-(-4)^{13}-(-2)^{25}}{2^{7} \cdot(-4)^{4} \cdot 4^{5}+(-16)^{6}} 27⋅(−4)4⋅45+(−16)6167+89−(−4)13−(−2)25​.

Problem 21

Calculate the value of (14×22+33)−25÷4(1^{4} \times 2^{2}+3^{3})-2^{5} \div 4(14×22+33)−25÷4 and 6÷2(1+2)6 \div 2(1+2)6÷2(1+2).

Problem 22

Calculate 31−324 31 - \frac{32}{4} 31−432​

Problem 23

Multiply and simplify (2x−5)(3x−3) (2x - 5)(3x - 3) (2x−5)(3x−3).

Problem 24

Multiply and simplify: (2x−5)(3x−3) (2x - 5)(3x - 3) (2x−5)(3x−3)

Problem 25

Calculate 62(1+2) \frac{6}{2}(1+2) 26​(1+2).

Problem 26

Expand (x−5)(x+2) (x-5)(x+2) (x−5)(x+2) using the FOIL method.

Problem 27

Multiply and simplify: (2x−5)(3x−3)(2x - 5)(3x - 3)(2x−5)(3x−3).

Problem 28

Calculate 14×22+33 1^{4} \times 2^{2} + 3^{3} 14×22+33.

Problem 29

Calculate (1×4)+27 (1 \times 4) + 27 (1×4)+27.

Problem 30

Calculate 1×4−71 \times 4 - 71×4−7.

Problem 31

Calculate 1×4+271 \times 4 + 271×4+27.

Problem 32

Calculate ((14×22)+33)−(25÷4) \left((1^{4} \times 2^{2})+3^{3}\right)-(2^{5} \div 4) ((14×22)+33)−(25÷4).

Problem 33

Multiply and simplify (2x−5)(3x−3) (2x - 5)(3x - 3) (2x−5)(3x−3).

Problem 34

Multiply and simplify (2x−5)(3x−3) (2x-5)(3x-3) (2x−5)(3x−3).

Problem 35

Multiply and simplify: (2x−5)(3x−3) (2x-5)(3x-3) (2x−5)(3x−3).

Problem 36

What is the value of 6÷2(1+2) 6 \div 2(1+2) 6÷2(1+2)?

Problem 37

Solve 60÷2(3+7) 60 \div 2(3+7) 60÷2(3+7).

Problem 38

Calculate (14×22+33)−25÷4 (1^{4} \times 2^{2} + 3^{3}) - 2^{5} \div 4 (14×22+33)−25÷4.

Problem 39

Calculate 31−32÷4 31 - 32 \div 4 31−32÷4.

Problem 40

Calculate $31 - 8$ .

Calculate $-2^{5} \div 4$ .

Calculate $(4+27)-32$ .

Find the $z$ -score for $x=7$ given a random variable $X$ with mean 4 and standard deviation 2.

Evaluate $\frac{n p}{n+p}$ for $n=9$ and $p=15$ .

Multiply and simplify $(2x - 5)(3x - 3)$

Calculate $\frac{16^{7}+8^{9}-(-4)^{13}-(-2)^{25}}{2^{7} \cdot(-4)^{4} \cdot 4^{5}+(-16)^{6}}$ .

Calculate the integral $\int_{2}^{3} 3 x^{2} d t$ .

Calculate the integral $\int \tan^{3} x \sec x \, dx$ .

What is the result of $9-3 \div \frac{1}{3}+1$ ?

Expand the expression $(x-5)(x+2)$ .

Calculate $31 - 8$ .

Calculate $\frac{32}{4}$ .

Calculate $2^{5} \div 4$ .

Calculate $(4+27)-\frac{32}{4}$ .

Calculate $-2^{5} \div 4$ .

Calculate $-32 \div 4$ .

Find the integral of $-\frac{1}{5} \sin u \, du$ .

Calculate $\left((1^{4} \times 2^{2})+3^{3}\right)-\frac{2^{5}}{4}$ .

Calculate $\frac{16^{7}+8^{9}-(-4)^{13}-(-2)^{25}}{2^{7} \cdot(-4)^{4} \cdot 4^{5}+(-16)^{6}}$ .

Calculate the value of $(1^{4} \times 2^{2}+3^{3})-2^{5} \div 4$ and $6 \div 2(1+2)$ .

Calculate $31 - \frac{32}{4}$

Multiply and simplify $(2x - 5)(3x - 3)$ .

Multiply and simplify: $(2x - 5)(3x - 3)$

Calculate $\frac{6}{2}(1+2)$ .

Expand $(x-5)(x+2)$ using the FOIL method.

Multiply and simplify: $(2x - 5)(3x - 3)$ .

Calculate $1^{4} \times 2^{2} + 3^{3}$ .

Calculate $(1 \times 4) + 27$ .

Calculate $1 \times 4 - 7$ .

Calculate $1 \times 4 + 27$ .

Calculate $\left((1^{4} \times 2^{2})+3^{3}\right)-(2^{5} \div 4)$ .

Multiply and simplify $(2x - 5)(3x - 3)$ .

Multiply and simplify $(2x-5)(3x-3)$ .

Multiply and simplify: $(2x-5)(3x-3)$ .

What is the value of $6 \div 2(1+2)$ ?

Solve $60 \div 2(3+7)$ .

Calculate $(1^{4} \times 2^{2} + 3^{3}) - 2^{5} \div 4$ .

Calculate $31 - 32 \div 4$ .

Calculate $(4+27)-32 \div 4$ .

Multiply and simplify $(2 x-5)(3 x-3)$ .

甲、乙兩地相距 $7 \frac{1}{2}$ 公里，爸爸駕車走了 $1 \frac{1}{2}$ 公里，求他走了全程的幾分之幾？

Calculate the integral $\int_{1}^{5} \frac{x-1}{x} dx$ and choose the correct answer: (a) $5-\ln 5$ , (b) $4-\ln 5$ , (c) $2-\ln 5$ , (d) $1-\ln 5$ .

Find the limit: $\lim _{x \rightarrow 1} \frac{2 \cdot \ln (x)}{\mathrm{e}^{x}-1}$ . Options: (a) $\frac{2}{e}$ (b) 1 (c) 0 (d) nonexistent.

Find the limit: $\lim _{x \rightarrow \infty} \frac{4 \cdot \ln (x)+4}{3 x}$ . Choose (a) 2, (b) -2, (c) 0, or (d) nonexistent.

Simplify $\frac{36 a^{3} b^{2} x}{27 a b^{3} y}$ .

Express $\tan 35^{\circ}+\tan 55^{\circ}$ using $k$ if $\cos 35^{\circ}=k$ .

Simplify $(3 x^{2}-16 x+21) \div (x-3)$ .

Calculate the value of $\frac{8}{5} : \frac{14}{-3} \cdot \frac{8}{14}$ .

Expand the expression $(x-5)(x+2)$ .

Calculate $-\frac{3}{5}:(0.25-\frac{3}{6}): 4 \frac{2}{3}$ .

Find the limit: $\lim _{x \rightarrow \pi} \frac{\cos x+\sin (2 x)+1}{x^{2}-\pi^{2}}$ . What is it?

12. Hitung $7-(-5)+(-2) \times 4=\ldots$
13. Temukan nilai $\sqrt[3]{64}-\sqrt{64}+\sqrt{36}$ adalah .............

Calculate $17 \times 5 + 3$ .

Simplify the expression $\left(2^{-1} \times 5^{-1}\right)^{-1} \div 4^{-1}$ .

Evaluate: $\left\{[(-3) / 2]^{2}\right\}^{-3}$

Evaluate: $(-2 / 7)^{-4} \times(-5 / 7)^{2}$ , $(-1 / 4)^{-3} \times(-1 / 4)^{-2}$ , and $\left\{[(-3) / 2]^{2}\right\}^{-3}$ .

Find the equivalent expression for $9^{\frac{3}{4}}$ from the options: A) $\sqrt[3]{9}$ B) $\sqrt[4]{9}$ C) $\sqrt{3}$ D) $3 \sqrt{3}$ .

Calculate $6 * 20$ .

Find the sum of the perimeters of the four triangles formed by the diagonals of square $A B C D$ . Choices: A. $2+2 \sqrt{2}$ B. $8+4 \sqrt{2}$ C. $8+8 \sqrt{2}$ D. 16

Calculate $6 \times Rm\ 910 \div 4$ .

Sergio tiene 4 cajas con 4 filas y 4 jarras por fila. ¿Cuántas jarras hay en total? $4 \times 4 \times 4$

Calculate $\frac{\left(5\left(\frac{1}{2}\right)^{2}+\frac{9 \frac{3}{4}}{3}-8\left(\frac{1}{4}\right)^{2}\right)^{2}}{3^{-1}}$ .

Calculate the expression: $\left(5\left(\frac{1}{2}\right)^{2}+\frac{9 \frac{3}{4}}{3}-8\left(\frac{1}{4}\right)^{2}\right)^{\frac{1}{2}}$

Calculate the expression: $-3 \cdot[8+4 \cdot(-2-5)]$

Calculate $\left(-\frac{3}{5}-\frac{4}{5}\right) \div \frac{14}{25}$ .

Calcola il perimetro di un rombo con lato $10,5 \mathrm{~cm}$ e il perimetro di un parallelogramo con lati $160 \mathrm{~cm}$ e $13,9 \mathrm{~dm}$ .