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Questions in mathematics

[Answered] Question 1: Assertion (A): 1 lakh is equal to 100 thousand. Reason (R): In the Indian Place Value System, the digits are grouped in pairs after the first three digits from the right. Question 2: Assertion (A): 9,99,999 is the largest 6-digit number. Reason (R): Adding 1 to 9,99,999 gives 10,00,000 which is a 7-digit number. Question 3: Assertion (A): The number 5,07,000 is greater than 5,70,000. Reason (R): In comparing numbers, we should compare digits from left to right. Question 4: Assertion (A): Place value of 7 in 7,23,184 is 7,00,000. Reason (R): In the Indian Number System, the place value of a digit depends on its position from the right. Question 5: Assertion (A): The number 3,042 has 0 in the tens place. Reason (R): The digit in the tens place of a number shows how many tens are there.

[Answered] Find the perimeter and area of the following shapes: Trapezoid: Sides: 3 cm, 4 cm, 3 cm, 6 cm Square: Sides: 5 cm, 5 cm, 5 cm, 5 cm Parallelogram: Sides: 3 cm, 8 cm, 3 cm, 8 cm

[Answered] $(17+4 \times 3=$ $9+2 \times(8-2)-3=$

[Answered] Which point is on the circle centered at the origin with a radius of 5 units? Distance formula: [tex]$\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$[/tex] A. [tex]$(2, \sqrt{21})$[/tex] B. [tex]$(2, \sqrt{23})$[/tex] C. [tex]$(2,1)$[/tex] D. [tex]$(2,3)$[/tex]

[Answered] The function $y=\frac{16,500+1020 x}{x}$ models $y$, the average annual cost in dollars of owning a car for $x$ years. Which statement best explains why the graph of $y=\frac{16,500+1020 x}{x}$ should have a vertical asymptote at $x=0$? A. The value of the car decreases over time. B. The value of the car will never dip below $0. C. The time the car is owned is greater than 0. D. The initial cost of the car is greater than $0.

[Answered] Which expression is equivalent to $\sqrt[3]{32 x^8 y^{10}}$? A. $4 x^2 y^3(\sqrt[3]{2 x^2 y})$ B. $2 x^4 y^5(\sqrt[3]{4})$ C. $2 x^2 y^3(\sqrt[3]{4 x^2 y})$ D. $4 x^4 y^5(\sqrt[3]{2})$

[Answered] Solve the literal equation below for $c$. $-3 x+2 c=-3$

[Answered] Simplify $\left(7^5\right)^3$ A. $\left(\frac{1}{7}\right)^{15}$ B. $35^3$ C. $7^8$ D. $7^{15}$

[Answered] Solve the system. [tex]\begin{aligned} -3 x+3 y+3 z & =3 \ -5 x-5 y+z & =-3 \ 15 x+15 y-3 z & =8 \end{aligned}[/tex]

[Answered] Change 0.8 to a common fraction.