30) Translate the following phrase into mathematical expressions. Use x to represent "a number." a. The product of a number and 12 b. Ten times a number subtracted from 21 В) a. 12х b. 21 10x D) a. x + 12 C) a. x + 12 A) a. 12x b. 10x - 21 b. 21 - 10x b. 10x 21

Q: Hence or otherwise, evaluate E3, (r(r + 1). 50 r%3D31

A: Given that ∑r=3150rr+1. We have to evaluate the ∑r=3150rr+1. The expression ∑r=3150rr+1 can be…

Q: In AABC, AB =7 and BC = 10. AC cannot equal C Your answer: O 17 10 7 3.3 Clear answer

A: We use triangle inequality theorem.

Q: Based on your answers in (b), show that 12 1 1 2² 3² 4²

A:

Q: Add brackets to make this statement true. Justify 12 + 12 / 6 - 2 x 3 = 13

A: The objective is to add brackets to make the statement true.

Q: The distributive property states that a(b + c) =

A: distributive law to be proved

Q: Is 22n O(2")? Justify your answer.

A:

Q: 50. Prepare a 2x2 table from the following information and calculate Yule's Čoefficient of…

A:

Q: (d) Use the given information to write an Lauation that relates the variables x and y.

A:

Q: If n(A) 140, n(B) = 115, and n(A U B) = 205, what is n(A N B)? %3D

A: For any two events A and B, it is known that n(A ∪ B) = n(A)  + n(B) – n(A ∩ B).

Q: Are the following two figures similar or congruent? L' 10 Ko 8. 6. 4 2 -2 -2 4 6 . 10 12 2.

A: Two figures are congruent if they have the same shape and the same size. Two figures are similar if…

Q: Place either <or between this pair of numbers so that the resulting statement is true: 500 50

A:

Q: Name the property illustrated by the equaility (3+5)+9 = (5+3)+9? show your work neatly?

A: 3+(5+9) = (5+3)+9

Q: State whether the following is true or false and justify your answer. {r ϵ Q : 0 ≤ r ≤ 2} = [0,2]

A: Given that r∈ℚ:0≤r≤2=0,2. Clearly, the set r∈ℚ:0≤r≤2 has only rational numbers.

Q: O 6? A? + B2 = C2 O 72 13 12 O 52 122 + = 132 %3D Back B.

A:

Q: Insert either &lt;or &gt; in the between the numbers to make the statement true. √2  1.5

A: We know that, the value of the  2=1.4142135624

Q: Which expression is equivalent to 5a + 8 - 2(a + 4)? О За О За + 4 O 3a + 12 О За + 16

A:

Q: a? + b?, ab # 0 (s2+a?)(s?+b?)'

A:

Q: Simplify the following using quotient rule: 16z y 4z'y 12,,17 16z y 4 O 4719, 25 O 4r y 16z"y 4zy

A:

Q: be actez C = a2t ab 62 ac Calclate ab b2 +bc det ((ake) c")

A: Please refer the attached image for complete solution.

Q: 2. Find m2C 28 18 15 12 +8

A: Given- a=12, b=18, c=20 To find m∠C. Here we will use cosine rule which is as follows-…

Q: Which statement about the number 21 is true?

A:

Q: Evaluate: / yº sech(eThy ) tanh (e "hy ) dy 7Iny -mch(v^) + C None -ech"(,?) + C

A:

Q: Yes or No? If No, gives a reason.

A: Given expression is a2+4.

Q: 5. Determine whether the given statement is true or false. (3} E{{3}, (6}} Choose the correct answer…

A:

Q: What is "One-quater of what number is 12

A: We have to find One-quater of what number is 12.

Q: Complete the similar statement ?

A: As per the definition of corresponding angle, the angles in matching corners are called…

Q: R 50 42 30 ト

A: see below the answer and calculation

Q: Insert either &lt;, &gt;, or =to make a true statement. |-2 |  4/17÷4/17

A: given, -2  4/1'74/17we have to insert in box &lt;,&gt;or= to make statement is true

Q: Q Eind Founier Tranafomatia sf Ne 970? As we

A: We have to use Fourier transform integral formula.

Q: 2 3 Find the missing side length and simplify the answer çompletely (if necess. V15

A:

Q: Using the digits 0-9 at most one time each, create a true statement. 中-(JP (x)

A: In the question it is asked to fill different numbers from (0-9) for the expression given below.…

Q: Which of the following statements is not true about AHUG? Answer The measure of LH is approximately…

A: for the given triangle

Q: Which of the following would be equivalent to 32. 3? 310 33 310 37 O 31. 37

A: We have to check which is equivalent to  32 • 35

Q: The 16-digits of an ATM-card number are to be written in the boxes below. If the sum of any three…

A:

Q: a) If C'(70) = 105 and R' (70) = 119, approximately how much profit is earned by item number 71? b)…

A: Marginal profit =marginal revenue- marginal cost

Q: HwE valuete xg JA ,Rvis ,enclosed between y= JA , R xis 8 Xig=/X 2 » X= 2 and X= 49 11 12 し

A:

Q: Is det(AB) = det(B A)? Justify your answer.

A: Given- detAB=detBA To justify- The above expression.

Q: Evaluate, e(245°) 4.11e O 4.11ev O 1.14e2.41i O 4.11e0.946i

A: We have to choose correct options.

Q: Explain from those answers why A100 is close to A0: [1/3 1/3] 2/3 2/3 .6 .2 A = .4 and A = %3D .8

A:

Q: Use the theorems and given information to sho 1/2 3/4 87 6/5

A:

Q: Translate the following in words. Identify whether it is true or false. Justify your answers.…

A: For all numbers '?' that belongs to the set of rational numbers Q,  2×? is an even number.  Write…

Q: Translate the following statement into algebraic expression:  “n less than the product of a number…

A: It is given that, “n less than the product of a number and 4”. Let x denote the number.

Q: 8. 9. 102 45 R 41.8 T 33

A: From figure,RT= 41.8 , TQ= 33PQ =102, SQ =45PS =PQ-SQ =102-45PS =57Now, PSSQ=5745PSSQ=1915 →(1)

Q: A В 8 E 116 10 4 2

A:

Q: 17 Simplify the expression 6,,10 3a'y 12x y0. 3x'y A 15ry 11 B 36ry0 42,,10 c) 36x 11 D 36xyl

A: The given expression is: 12x-6y10·3x7y This expression can also be written as: 12x-6y10·3x7y=12·3…

Q: which part is A(1) and which is A(2)?

A: Solution-: We have given x¯=64.2,n=46,s=27.9 Here, σ- is unknown so we use t-test We want to find…

Q: 3. If m AD = 85 and mBC = 31', find the value of x. %3D

A: As per the company policy i can answer only first question for you,more than that leads me towards…

Q: O Evelucte. it3 Im 2. © exp Ci^) e (Iti)"

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Q: Which statement can be concluded from the fact that the area of square ABHI plus the area of square…

A: ABHI is a square  ∴All off its sides are equal.   ⇒AB=BH=HI=AI—1    Also, BCDE is a square…