यदि (g(t)=b-8t) और (g(5), g(9), g(13)) का योग (288) है, तो (b) क्या है?
If (g(t)=b-8t) and the sum of (g(5), g(9), g(13)) is (288), what is (b)?
#linear_decay
#sum_values
#parameter
A (144)
B (152)
C (160)
D (168)
Explanation opens after your attempt
Step 1
Concept
The sum is ((b-40)+(b-72)+(b-104)=3b-216). From (3b-216=288), (b=168), so option (D) is correct.
Step 2
Why this answer is correct
The correct answer is A. (144). The sum is ((b-40)+(b-72)+(b-104)=3b-216). From (3b-216=288), (b=168), so option (D) is correct.
Step 3
Exam Tip
योग ((b-40)+(b-72)+(b-104)=3b-216) है। (3b-216=288) से (b=168) नहीं बल्कि विकल्प (D) है।
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यदि (y=420-bx) में (x=8) से (x=16) तक (y) (152) घटता है, तो (b) क्या है?
If in (y=420-bx), (y) decreases by (152) from (x=8) to (x=16), what is (b)?
#linear_decay
#find_rate
#total_change
A (17)
B (18)
C (19)
D (20)
Explanation opens after your attempt
Step 1
Concept
The change in (x) is (8). The total decrease is (8b=152), so (b=19).
Step 2
Why this answer is correct
The correct answer is C. (19). The change in (x) is (8). The total decrease is (8b=152), so (b=19).
Step 3
Exam Tip
(x) में परिवर्तन (8) है। कुल कमी (8b=152) है इसलिए (b=19) है।
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यदि (Q(t)=420-12t), तो (Q(6)+Q(18)) किस एक (Q(k)) के दोगुने के बराबर है?
If (Q(t)=420-12t), (Q(6)+Q(18)) is equal to twice which (Q(k))?
#linear_decay
#midpoint_property
#average
A (Q(10))
B (Q(11))
C (Q(12))
D (Q(14))
Explanation opens after your attempt
Correct Answer
C. (Q(12))
Step 1
Concept
In a linear model the midpoint of (6) and (18) is (12). Therefore (Q(6)+Q(18)=2Q(12)).
Step 2
Why this answer is correct
The correct answer is C. (Q(12)). In a linear model the midpoint of (6) and (18) is (12). Therefore (Q(6)+Q(18)=2Q(12)).
Step 3
Exam Tip
रेखीय मॉडल में (6) और (18) का मध्य (12) है। इसलिए (Q(6)+Q(18)=2Q(12)) होता है।
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यदि (g(x)=420-14x), तो (g(2x)-g(6x)) कब (224) होगा?
If (g(x)=420-14x), when will (g(2x)-g(6x)) be (224)?
#linear_decay
#function_equation
#solve_x
A (x=3)
B (x=4)
C (x=5)
D (x=6)
Explanation opens after your attempt
Step 1
Concept
(g(2x)-g(6x)=(420-28x)-(420-84x)=56x). From (56x=224), (x=4).
Step 2
Why this answer is correct
The correct answer is B. (x=4). (g(2x)-g(6x)=(420-28x)-(420-84x)=56x). From (56x=224), (x=4).
Step 3
Exam Tip
(g(2x)-g(6x)=(420-28x)-(420-84x)=56x) है। (56x=224) से (x=4) है।
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यदि (y=480-30x), तो (y) में (210) की कमी के लिए (x) कितना बढ़ना चाहिए?
If (y=480-30x), by how much should (x) increase for (y) to decrease by (210)?
#linear_decay
#change_in_x
#total_change
A (5)
B (6)
C (7)
D (8)
Explanation opens after your attempt
Step 1
Concept
The total decrease is \(30\Delta x\). From \(30\Delta x=210\), \(\Delta x=7\).
Step 2
Why this answer is correct
The correct answer is C. (7). The total decrease is \(30\Delta x\). From \(30\Delta x=210\), \(\Delta x=7\).
Step 3
Exam Tip
कुल कमी \(30\Delta x\) होगी। \(30\Delta x=210\) से \(\Delta x=7\) मिलता है।
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यदि (C(t)=390-11t) और (D(t)=270-22t), तो (C(t)-D(t)) किस प्रकार बदलता है?
If (C(t)=390-11t) and (D(t)=270-22t), how does (C(t)-D(t)) change?
#linear_decay
#model_difference
#rate
A हर चरण (11) बढ़ता है / It increases by (11) each step
B हर चरण (11) घटता है / It decreases by (11) each step
C स्थिर रहता है / It remains constant
D हर चरण (120) घटता है / It decreases by (120) each step
Explanation opens after your attempt
Correct Answer
A. हर चरण (11) बढ़ता है / It increases by (11) each step
Step 1
Concept
(C(t)-D(t)=120+11t). Therefore the difference of the two decay models increases.
Step 2
Why this answer is correct
The correct answer is A. हर चरण (11) बढ़ता है / It increases by (11) each step. (C(t)-D(t)=120+11t). Therefore the difference of the two decay models increases.
Step 3
Exam Tip
(C(t)-D(t)=120+11t) है। इसलिए दोनों क्षय मॉडलों का अंतर बढ़ता है।
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यदि (S(x)=s-13x) और (S(6)-S(15)=117), तो कौन सा निष्कर्ष सही है?
If (S(x)=s-13x) and (S(6)-S(15)=117), which conclusion is correct?
#linear_decay
#parameter_independence
#difference
A हर (s) के लिए शर्त सही है / The condition is true for every (s)
B केवल (s=117) सही है / Only (s=117) is correct
C कोई (s) संभव नहीं / No (s) is possible
D केवल (s=13) सही है / Only (s=13) is correct
Explanation opens after your attempt
Correct Answer
A. हर (s) के लिए शर्त सही है / The condition is true for every (s)
Step 1
Concept
(S(6)-S(15)=(s-78 )-(s-195 )=117). Therefore (s) can be any value.
Step 2
Why this answer is correct
The correct answer is A. हर (s) के लिए शर्त सही है / The condition is true for every (s). (S(6)-S(15)=(s-78 )-(s-195 )=117). Therefore (s) can be any value.
Step 3
Exam Tip
(S(6)-S(15)=(s-78 )-(s-195 )=117) है। इसलिए (s) कोई भी हो सकता है।
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किस (k) के लिए (y=410-(k-8)x) रेखीय क्षय दिखाएगा?
For which (k) will (y=410-(k-8)x) show linear decay?
#linear_decay
#parameter_condition
#rate_sign
A (k>8)
B (k=8)
C (k<8)
D हर (k) / Every (k)
Explanation opens after your attempt
Step 1
Concept
For decay the effective coefficient must be negative. From (-(k-8)<0), (k>8).
Step 2
Why this answer is correct
The correct answer is A. (k>8). For decay the effective coefficient must be negative. From (-(k-8)<0), (k>8).
Step 3
Exam Tip
क्षय के लिए प्रभावी गुणांक ऋणात्मक चाहिए। (-(k-8)<0) से (k>8) मिलता है।
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यदि (Z(x)=b-15x) रेखीय क्षय है और (Z(4)+Z(8)=160), तो (b) क्या है?
If (Z(x)=b-15x) is linear decay and (Z(4)+Z(8)=160), what is (b)?
#linear_decay
#sum_values
#parameter
A (160)
B (170)
C (180)
D (190)
Explanation opens after your attempt
Step 1
Concept
(Z(4)+Z(8)=(b-60)+(b-120)=2b-180). From (2b-180=160), (b=170).
Step 2
Why this answer is correct
The correct answer is B. (170). (Z(4)+Z(8)=(b-60)+(b-120)=2b-180). From (2b-180=160), (b=170).
Step 3
Exam Tip
(Z(4)+Z(8)=(b-60)+(b-120)=2b-180) है। (2b-180=160) से (b=170) मिलता है।
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यदि (K(t)=350-10t), तो (K(3t)-K(7t)) क्या है?
If (K(t)=350-10t), what is (K(3t)-K(7t))?
#linear_decay
#algebraic_difference
#substitution
A (30t)
B (40t)
C (50t)
D (70t)
Explanation opens after your attempt
Step 1
Concept
(K(3t)=350-30t) and (K(7t)=350-70t). The difference is (40t).
Step 2
Why this answer is correct
The correct answer is B. (40t). (K(3t)=350-30t) and (K(7t)=350-70t). The difference is (40t).
Step 3
Exam Tip
(K(3t)=350-30t) और (K(7t)=350-70t) है। अंतर (40t) है।
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यदि (y=255-14x), तो (x) का कौन सा मान (y) को (3x) के बराबर बनाता है?
If (y=255-14x), which value of (x) makes (y) equal to (3x)?
#linear_decay
#condition_equation
#solve_x
A (x=13)
B (x=15)
C (x=17)
D (x=19)
Explanation opens after your attempt
Step 1
Concept
The condition is (255-14x=3x). This gives (255=17x) and (x=15).
Step 2
Why this answer is correct
The correct answer is B. (x=15). The condition is (255-14x=3x). This gives (255=17x) and (x=15).
Step 3
Exam Tip
शर्त (255-14x=3x) है। इससे (255=17x) और (x=15) मिलता है।
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एक मशीन का मूल्य (V(y)=c-4200y) है। यदि (V(4)=53200), तो (V(11)) क्या होगा?
A machine's value is (V(y)=c-4200y). If (V(4)=53200), what will (V(11)) be?
#linear_decay
#value_depreciation
#two_step
A (23800)
B (28000)
C (32200)
D (36400)
Explanation opens after your attempt
Correct Answer
A. (23800)
Step 1
Concept
From (c-16800=53200), (c=70000). (V(11)=70000-46200=23800).
Step 2
Why this answer is correct
The correct answer is A. (23800). From (c-16800=53200), (c=70000). (V(11)=70000-46200=23800).
Step 3
Exam Tip
(c-16800=53200) से (c=70000) है। (V(11)=70000-46200=23800) है।
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यदि (G(t)=320-rt) और (G(4)=G(13)+144), तो (r) क्या है?
If (G(t)=320-rt) and (G(4)=G(13)+144), what is (r)?
#linear_decay
#rate_equation
#difference
A (14)
B (15)
C (16)
D (18)
Explanation opens after your attempt
Step 1
Concept
(G(4)-G(13)=9r). From (9r=144), (r=16).
Step 2
Why this answer is correct
The correct answer is C. (16). (G(4)-G(13)=9r). From (9r=144), (r=16).
Step 3
Exam Tip
(G(4)-G(13)=9r) है। (9r=144) से (r=16) मिलता है।
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किस विकल्प में (y) (x) के बढ़ने पर (16) प्रति चरण घटता है और (y(5)=78) है?
Which option makes (y) decrease by (16) per step and has (y(5)=78)?
#linear_decay
#model_selection
#condition
A (y=78-16x)
B (y=158-16x)
C (y=16x+78)
D (y=-2-16x)
Explanation opens after your attempt
Correct Answer
B. (y=158-16x)
Step 1
Concept
The rate is (-16), and (a-16(5)=78) gives (a=158). So (y=158-16x) is correct.
Step 2
Why this answer is correct
The correct answer is B. (y=158-16x). The rate is (-16), and (a-16(5)=78) gives (a=158). So (y=158-16x) is correct.
Step 3
Exam Tip
दर (-16) है और (a-16(5)=78) से (a=158) मिलता है। इसलिए (y=158-16x) सही है।
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मॉडल (R(t)=r-18t) में (R(3)=166) और (R(s)=40) है। (s) क्या है?
In the model (R(t)=r-18t), (R(3)=166) and (R(s)=40). What is (s)?
#linear_decay
#two_step
#solve_variable
A (9)
B (10)
C (11)
D (12)
Explanation opens after your attempt
Step 1
Concept
From (R(3)=166), (r=220). From (220-18s=40), (s=10).
Step 2
Why this answer is correct
The correct answer is B. (10). From (R(3)=166), (r=220). From (220-18s=40), (s=10).
Step 3
Exam Tip
(R(3)=166) से (r=220) है। (220-18s=40) से (s=10) मिलता है।
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यदि (B(x)=360-14x), तो (B(x-3)-B(x+4)) का मान क्या है?
If (B(x)=360-14x), what is the value of (B(x-3)-B(x+4))?
#linear_decay
#function_difference
#shift
A (84)
B (91)
C (98)
D (112)
Explanation opens after your attempt
Step 1
Concept
Over ((x+4)-(x-3)=7) steps the value decreases by \(14\times7=98\). So the difference is (98).
Step 2
Why this answer is correct
The correct answer is C. (98). Over ((x+4)-(x-3)=7) steps the value decreases by \(14\times7=98\). So the difference is (98).
Step 3
Exam Tip
((x+4)-(x-3)=7) चरणों में मान \(14\times7=98\) घटता है। इसलिए अंतर (98) है।
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यदि (D(t)=340-kt) और (D(6)-D(14)=128), तो (k) क्या है?
If (D(t)=340-kt) and (D(6)-D(14)=128), what is (k)?
#linear_decay
#find_rate
#difference
A (14)
B (15)
C (16)
D (18)
Explanation opens after your attempt
Step 1
Concept
(D(6)-D(14)=k(14-6)=8k). From (8k=128), (k=16).
Step 2
Why this answer is correct
The correct answer is C. (16). (D(6)-D(14)=k(14-6)=8k). From (8k=128), (k=16).
Step 3
Exam Tip
(D(6)-D(14)=k(14-6)=8k) है। (8k=128) से (k=16) मिलता है।
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एक मात्रा (x=5) पर (265) और (x=14) पर (130) है। यदि परिवर्तन रेखीय क्षय है तो प्रति चरण कमी क्या है?
A quantity is (265) at (x=5) and (130) at (x=14). If the change is linear decay then what is the decrease per step?
#linear_decay
#rate_from_values
#constant_rate
A (12)
B (14)
C (15)
D (18)
Explanation opens after your attempt
Step 1
Concept
The total decrease is (265-130=135) and there are (9) steps. The decrease per step is \(\frac{135}{9}=15\).
Step 2
Why this answer is correct
The correct answer is C. (15). The total decrease is (265-130=135) and there are (9) steps. The decrease per step is \(\frac{135}{9}=15\).
Step 3
Exam Tip
कुल कमी (265-130=135) और चरण (9) हैं। प्रति चरण कमी \(\frac{135}{9}=15\) है।
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यदि (y=190-7.5x), तो (x=3) से (x=11) तक (y) में कुल कमी कितनी होगी?
If (y=190-7.5x), what is the total decrease in (y) from (x=3) to (x=11)?
#linear_decay
#decimal_rate
#total_change
A (52)
B (56)
C (60)
D (64)
Explanation opens after your attempt
Step 1
Concept
The change in (x) is (11-3=8). The total decrease is \(7.5\times8=60\).
Step 2
Why this answer is correct
The correct answer is C. (60). The change in (x) is (11-3=8). The total decrease is \(7.5\times8=60\).
Step 3
Exam Tip
(x) में परिवर्तन (11-3=8) है। कुल कमी \(7.5\times8=60\) है।
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यदि (g(x)=b-13x) और (g(5)=116), तो (g(12)) क्या होगा?
If (g(x)=b-13x) and (g(5)=116), what will (g(12)) be?
#linear_decay
#parameter
#evaluate
A (25)
B (38)
C (51)
D (64)
Explanation opens after your attempt
Step 1
Concept
From (b-65=116), (b=181). Therefore (g(12)=181-156=25).
Step 2
Why this answer is correct
The correct answer is A. (25). From (b-65=116), (b=181). Therefore (g(12)=181-156=25).
Step 3
Exam Tip
(b-65=116) से (b=181) है। इसलिए (g(12)=181-156=25) है।
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एक टंकी में (t=2) पर (218) लीटर और (t=10) पर (122) लीटर पानी है। रेखीय क्षय मॉडल क्या होगा?
A tank has (218) litres at (t=2) and (122) litres at (t=10). What is the linear decay model?
#linear_decay
#model_from_points
#rate
A (W(t)=218-12t)
B (W(t)=242-12t)
C (W(t)=242+12t)
D (W(t)=194-10t)
Explanation opens after your attempt
Correct Answer
B. (W(t)=242-12t)
Step 1
Concept
The rate is \(\frac{122-218}{10-2}=-12\). From (218=a-12(2)), (a=242).
Step 2
Why this answer is correct
The correct answer is B. (W(t)=242-12t). The rate is \(\frac{122-218}{10-2}=-12\). From (218=a-12(2)), (a=242).
Step 3
Exam Tip
दर \(\frac{122-218}{10-2}=-12\) है। (218=a-12(2)) से (a=242) मिलता है।
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यदि (g(t)=b-7t) और (g(4), g(8), g(12)) का योग (258) है, तो (b) क्या है?
If (g(t)=b-7t) and the sum of (g(4), g(8), g(12)) is (258), what is (b)?
#linear_decay
#sum_values
#parameter
A (132)
B (138)
C (142)
D (146)
Explanation opens after your attempt
Step 1
Concept
The sum is ((b-28)+(b-56)+(b-84)=3b-168). From (3b-168=258), (b=142).
Step 2
Why this answer is correct
The correct answer is C. (142). The sum is ((b-28)+(b-56)+(b-84)=3b-168). From (3b-168=258), (b=142).
Step 3
Exam Tip
योग ((b-28)+(b-56)+(b-84)=3b-168) है। (3b-168=258) से (b=142) है।
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यदि (y=360-bx) में (x=7) से (x=15) तक (y) (136) घटता है, तो (b) क्या है?
If in (y=360-bx), (y) decreases by (136) from (x=7) to (x=15), what is (b)?
#linear_decay
#find_rate
#total_change
A (15)
B (16)
C (17)
D (18)
Explanation opens after your attempt
Step 1
Concept
The change in (x) is (8). The total decrease is (8b=136), so (b=17).
Step 2
Why this answer is correct
The correct answer is C. (17). The change in (x) is (8). The total decrease is (8b=136), so (b=17).
Step 3
Exam Tip
(x) में परिवर्तन (8) है। कुल कमी (8b=136) है इसलिए (b=17) है।
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यदि (Q(t)=320-8t), तो (Q(5)+Q(17)) किस एक (Q(k)) के दोगुने के बराबर है?
If (Q(t)=320-8t), (Q(5)+Q(17)) is equal to twice which (Q(k))?
#linear_decay
#midpoint_property
#average
A (Q(9))
B (Q(10))
C (Q(11))
D (Q(12))
Explanation opens after your attempt
Correct Answer
C. (Q(11))
Step 1
Concept
In a linear model the midpoint of (5) and (17) is (11). Therefore (Q(5)+Q(17)=2Q(11)).
Step 2
Why this answer is correct
The correct answer is C. (Q(11)). In a linear model the midpoint of (5) and (17) is (11). Therefore (Q(5)+Q(17)=2Q(11)).
Step 3
Exam Tip
रेखीय मॉडल में (5) और (17) का मध्य (11) है। इसलिए (Q(5)+Q(17)=2Q(11)) होता है।
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यदि (g(x)=300-15x), तो (g(x)-g(5x)) कब (180) होगा?
If (g(x)=300-15x), when will (g(x)-g(5x)) be (180)?
#linear_decay
#function_equation
#solve_x
A (x=2)
B (x=3)
C (x=4)
D (x=5)
Explanation opens after your attempt
Step 1
Concept
(g(x)-g(5x)=(300-15x)-(300-75x)=60x). From (60x=180), (x=3).
Step 2
Why this answer is correct
The correct answer is B. (x=3). (g(x)-g(5x)=(300-15x)-(300-75x)=60x). From (60x=180), (x=3).
Step 3
Exam Tip
(g(x)-g(5x)=(300-15x)-(300-75x)=60x) है। (60x=180) से (x=3) है।
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यदि (y=400-25x), तो (y) में (175) की कमी के लिए (x) कितना बढ़ना चाहिए?
If (y=400-25x), by how much should (x) increase for (y) to decrease by (175)?
#linear_decay
#change_in_x
#total_change
A (5)
B (6)
C (7)
D (8)
Explanation opens after your attempt
Step 1
Concept
The total decrease is \(25\Delta x\). From \(25\Delta x=175\), \(\Delta x=7\).
Step 2
Why this answer is correct
The correct answer is C. (7). The total decrease is \(25\Delta x\). From \(25\Delta x=175\), \(\Delta x=7\).
Step 3
Exam Tip
कुल कमी \(25\Delta x\) होगी। \(25\Delta x=175\) से \(\Delta x=7\) मिलता है।
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यदि (C(t)=330-9t) और (D(t)=230-18t), तो (C(t)-D(t)) किस प्रकार बदलता है?
If (C(t)=330-9t) and (D(t)=230-18t), how does (C(t)-D(t)) change?
#linear_decay
#model_difference
#rate
A हर चरण (9) बढ़ता है / It increases by (9) each step
B हर चरण (9) घटता है / It decreases by (9) each step
C स्थिर रहता है / It remains constant
D हर चरण (100) घटता है / It decreases by (100) each step
Explanation opens after your attempt
Correct Answer
A. हर चरण (9) बढ़ता है / It increases by (9) each step
Step 1
Concept
(C(t)-D(t)=100+9t). Therefore the difference of the two decay models increases.
Step 2
Why this answer is correct
The correct answer is A. हर चरण (9) बढ़ता है / It increases by (9) each step. (C(t)-D(t)=100+9t). Therefore the difference of the two decay models increases.
Step 3
Exam Tip
(C(t)-D(t)=100+9t) है। इसलिए दोनों क्षय मॉडलों का अंतर बढ़ता है।
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यदि (S(x)=s-11x) और (S(5)-S(13)=88), तो कौन सा निष्कर्ष सही है?
If (S(x)=s-11x) and (S(5)-S(13)=88), which conclusion is correct?
#linear_decay
#parameter_independence
#difference
A हर (s) के लिए शर्त सही है / The condition is true for every (s)
B केवल (s=88) सही है / Only (s=88) is correct
C कोई (s) संभव नहीं / No (s) is possible
D केवल (s=11) सही है / Only (s=11) is correct
Explanation opens after your attempt
Correct Answer
A. हर (s) के लिए शर्त सही है / The condition is true for every (s)
Step 1
Concept
(S(5)-S(13)=(s-55 )-(s-143 )=88). Therefore (s) can be any value.
Step 2
Why this answer is correct
The correct answer is A. हर (s) के लिए शर्त सही है / The condition is true for every (s). (S(5)-S(13)=(s-55 )-(s-143 )=88). Therefore (s) can be any value.
Step 3
Exam Tip
(S(5)-S(13)=(s-55 )-(s-143 )=88) है। इसलिए (s) कोई भी हो सकता है।
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किस (k) के लिए (y=320-(k-6)x) रेखीय क्षय दिखाएगा?
For which (k) will (y=320-(k-6)x) show linear decay?
#linear_decay
#parameter_condition
#rate_sign
A (k>6)
B (k=6)
C (k<6)
D हर (k) / Every (k)
Explanation opens after your attempt
Step 1
Concept
For decay the effective coefficient must be negative. From (-(k-6)<0), (k>6).
Step 2
Why this answer is correct
The correct answer is A. (k>6). For decay the effective coefficient must be negative. From (-(k-6)<0), (k>6).
Step 3
Exam Tip
क्षय के लिए प्रभावी गुणांक ऋणात्मक चाहिए। (-(k-6)<0) से (k>6) मिलता है।
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यदि (Z(x)=b-12x) रेखीय क्षय है और (Z(3)+Z(8)=148), तो (b) क्या है?
If (Z(x)=b-12x) is linear decay and (Z(3)+Z(8)=148), what is (b)?
#linear_decay
#sum_values
#parameter
A (130)
B (134)
C (140)
D (144)
Explanation opens after your attempt
Step 1
Concept
(Z(3)+Z(8)=(b-36)+(b-96)=2b-132). From (2b-132=148), (b=140).
Step 2
Why this answer is correct
The correct answer is C. (140). (Z(3)+Z(8)=(b-36)+(b-96)=2b-132). From (2b-132=148), (b=140).
Step 3
Exam Tip
(Z(3)+Z(8)=(b-36)+(b-96)=2b-132) है। (2b-132=148) से (b=140) मिलता है।
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