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77. What is the width of the TV?

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One diagonal of a rhombus is decreasing at a rate of 77 centimeters per minute and the other diagonal of the rhombus is increasing at a rate of 1010 centimeters per minute.\newlineAt a certain instant, the decreasing diagonal is 44 centimeters and the increasing diagonal is 66 centimeters.\newlineWhat is the rate of change of the area of the rhombus at that instant (in square centimeters per minute)?\newlineChoose 11 answer:\newline(A) −1-1\newline(B) −16-16\newline(C) 16 \mathbf{1 6} \newline(D) 11\newlineThe area of a rhombus with diagonals d1 d_{1} and d2 d_{2} is d1d22 \frac{d_{1} d_{2}}{2} .
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The number bb is irrational. Which statement about 40b40b is true?
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The number cc is irrational. Which statement about c5c^5 is true?
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If y=(4x−1)(x+1)(x+2)+5 y = (4x - 1)(x + 1)(x + 2) + 5 , what is the value of y y when x=−1 x = -1 ?
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Posted 3 months ago

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Let y=8x+15 y = 8x + 15 .
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Solve for all values of x x in simplest form. \newline8+∣5+3x∣=10 8 + \left| 5 + 3x \right| = 10
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You pick a card at random, put it back, and then pick another card at random.\newline44\newline55\newline66\newline77\newlineWhat is the probability of picking a number greater than 55 and then picking a 44 ?\newlineWrite your answer as a percentage.
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Posted 1 month ago

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Jeanne's bank account earns interest annually. The equation shows her starting balance of $500\$500 and her balance at the end of three years, $546.36\$546.36. At what rate rr did Jeanne earn interest?\newline546.36=500(1+r)546.36 = 500(1 + r)
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Posted 1 month ago

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Jeanne's bank account earns interest annually. The equation shows her starting balance of $350 \$ 350 and her balance at the end of three years, $422.78 \$ 422.78 . At what rate r did Jeanne earn interest?\newline422.78=350(1+r)3422.78=350(1+r)^{3}
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Posted 1 month ago

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A leaky 10-kg10\text{-kg} bucket is lifted from the ground to a height of 14 m14\, \text{m} at a constant speed with a rope that weighs 0.6 kg/m0.6\, \text{kg/m}. Initially the bucket contains 42 kg42\, \text{kg} of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 14 m14\, \text{m} level. How much work is done? (Use 9.8 m/s29.8\, \text{m/s}^2 for gg.) Show how to approximate the required work (in J\text{J}) by a Riemann sum. (Let xx be the height in meters above the ground. Enter xi∗x_i^* as xix_i.)
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