Solve the problem.Jake has a cable that is 50.4 feet long. He wants to cut it into pieces that are 7.2 feet long. How many 7.2-foot pieces will he get from the cable?
A. 8 pieces
B. 7 pieces
C. 6 pieces
D. 70 pieces
Answer: B
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Answer the question.A television manufacturer sold three times as many televisions in 1995 as it did in 1985. To illustrate this fact, the manufacturer draws a pictogram as shown below. The television on the right is three times as tall and three times as wide as the television on the left. 
Why is this pictogram misleading? What visual impression is portrayed by the pictogram?
What will be an ideal response?
Solve the system using Gaussian elimination. -3x - 9y + 9z = 42 9x + 27y - 27z = -126-12x - 36y + 36z = 168
A. {(x, y, z) 
-3x - 9y + 9z = 42}
B. ?
C. {(x, y, z) 
-12x - 36y + 36z = 42}
D. {(-8, -9, -7)}
Provide an appropriate response.
(i) List the sequence of pentagonal numbers that corresponds to the sequence of dot patterns above and find two in addition to these. (ii) Complete the following list of equations suggested by the sequence of dot patterns and the pentagonal numbers you find in part (i). 1 = 1 1 + 4 = 5 1 + 4 + 7 = 12 1 + 4 + 7 + 10 = 22 _________________ = ___ _________________ = ___Observe that each pentagonal number is the sum of an arithmetic progression.(iii) Compute the eleventh term in the arithmetic progression 1, 4, 7, 10, ... .(iv) Compute the eleventh pentagonal number.(v) Determine a
formula for nth term in the arithmetic progression 1, 4, 7, 10, ... .(vi) Determine a formula for the nth pentagonal number pn. A. 1, 5, 7, 9, 11, 13, ... (ii) 1 + 3 + 5 + 7 + 9 = 25 1 + 3 + 5 + 7 + 9 + 11 = 36 (iii) Eleventh term: 1 + 3(11) = 34 (iv) Eleventh pentagonal number: 182 (v) nth term: 1 + 3(n) or 3n + 1 (vi) pn = 3n(n)/2 B. 1, 6, 18, 40, 76, 128, ... (ii) 1 + 4 + 7 + 10 + 13 = 35 1 + 4 + 7 + 10 + 13 + 16 = 51 (iii) Eleventh term: 3(10)- 1= 29 (iv) Eleventh pentagonal number: 220 (v) nth term: 1 + 3(n - 2) or 3n - 1 (vi) pn = 2n(n - 1) C. (i) 1, 5, 12, 22, 35, 51, ... (ii) 1 + 4 + 7 + 10 + 13 = 35 1 + 4 + 7 + 10 + 13 + 16 = 51 (iii) Eleventh term: 1 + 3(10) = 31 (iv) Eleventh pentagonal number: 176 (v) nth term: 1 + 3(n - 1) or 3n - 2 (vi) pn = n(3n - 1)/2 D. 1, 5, 13, 23, 36, 52, ... (ii) 1 + 4 + 7 + 10 + 13 = 35 1 + 4 + 7 + 10 + 13 + 16 = 51 (iii) Eleventh term: 1 + 3(12) = 37 (iv) Eleventh pentagonal number: 187 (v) nth term: 1 + 3(n + 1) or 3n + 4 (vi) pn = n(3n + 1)/2
A point on the terminal side of angle ? is given. Find the exact value of the indicated trigonometric function of ?.(18, 24) Find sin ?.
A. 
B. 
C. 
D. 