Questions in Grade High-school

Questions in Grade High-school

[Done] What is the simplified base of the function [tex]f(x)=\frac{1}{4}(\sqrt[3]{108})^x [/tex]?

[Done] John calculates an arc length involving a circle with a radius of 9 inches. The associated central angle has a measure of [tex]$3 \pi$[/tex] radians. John's Work Step 1: Central angle (radians) = [tex]$\frac{\text { arc length }}{\text { radius }}$[/tex] Step 2: [tex]$3 \pi=\frac{\text { arc length }}{9}$[/tex] Step 3: arc length = [tex]$\frac{\pi}{3}$[/tex] John made his first error in step . He , but he should have .

[Done] A student states that a triangle can be formed with side lengths 2 in, 3 in, and 6 in. Is the student correct? Why, or why not? A. Yes, because [tex]$2+3\ \textless \ 6$[/tex] B. Yes, because [tex]$6+2\ \textgreater \ 3$[/tex] C. No, because [tex]$2+3\ \textless \ 6$[/tex] D. No, because [tex]$6+2\ \textgreater \ 3$[/tex]

[Done] answer this question and calculate the sum of P

[Done] What is the following difference? [tex]$11 \sqrt{45}-4 \sqrt{5}$[/tex] A. [tex]$95 \sqrt{5}$[/tex] B. [tex]$29 \sqrt{5}$[/tex] C. [tex]$14 \sqrt{10}$[/tex] D. [tex]$7 \sqrt{40}$[/tex]

[Done] Determine whether the political features belong to ancient Greece, the modern United States, or both. All citizens of legal age can vote, regardless of gender. It operates on principles of democracy. It has separate bodies of government. Only adult males born of two citizens can vote. Ancient Greece Modern United States

[Done] The table shows a schedule of Jorge's payment plan for a car. | | Jorge's Payment Plan | | | | :--- | :------------------------------------ | :---------- | :---------- | | Year | Balance | Monthly Payment | End of Year Balance | | 1 | $15,469.80 | $257.83 | | | 2 | | $257.83 | | | 3 | | $257.83 | | | 4 | | $257.83 | | | 5 | | $257.83 | | | 6 | | $257.83 | | How many years will it take Jorge to pay off the loan? A. 3 years B. 4 years C. 5 years

[Done] Area of a square is 4 sq. m more than \(\frac{2}{3}\) of the area of a rectangle. If the area of the square is 64 sq. m, then find the dimensions of the rectangle, given that the breadth is \(\frac{2}{5}\) of the length.

[Done] Fill in the blanks: (i) 1 crore = ___ millions (iii) 1 million = _ thousands (v) 1 billion = _ millions Write the place value of 5 in each of the following: (i) 59232104 = _ (iii) 125698710 = _ Write each of the following numbers in crores: (i) 800000000 + 20000000 + 40000 + 9 = _ (ii) 8 crores + 36 lakhs + 48 thousands + 7 hundreds = _____

[Done] Example of Math Activity - Water Usage Table Make a table like this: | Activity | Estimated Litres Used | |-----------------|-----------------------| | Bathing | | | Drinking | | | Washing Clothes | | | Cooking | | | Cleaning | | Total Daily Usage: ________ litres