Answer:
208⅓ ft²
Step-by-step explanation:
The dimensions of Rachel's living room are 80 times the measurements on the scale drawing.
Calculate the width:
w = 80 × 1⅞
Convert the mixed number to an improper fraction = 80 × 15/8
Cancel the 8s = 10 × 15
= 150 in
Convert inches to feet = 150/12
Convert the improper fraction to a mixed number = (144 + 6)/12
= 12⁶/₁₂
Reduce the fraction to lowest terms = 12½ ft
Calculate the length
l = 80 × 2½ = 80 × 5/2 = 40 × 5 = 200 in = 200/12 = (192 + 8)/12
l = 16⁸/₁₂ = 16⅔ ft
Calculate the area
A = lw
A = 16⅔ × 12½
Convert the mixed numbers to improper fractions
A = 50/3× 25/2
Cancel the 2s
= 25/3 × 25
Multiply numerators and denominators
= 625/3
Convert the improper fraction to a mixed number
= (624 + 1)/3
= 208⅓ ft²
The area of Rachel's living room is 208⅓ ft².
X^2 + y^2 = (3x^2 + 2y^2 - x)^2
2x + 2y f'(x) = 2(3x^2 + 2y^2 - x)(6x + 4y f'(x) - 1) = 36x^3 + 24x^2yf'(x) + 24xy^2 + 16y^3f'(x) - 4y^2 - 18x^2 - 8xyf'(x) + x
f'(x)(2y - 24x^2y - 16y^3 + 8xy) = 36x^3 + 24xy^2 - 4y^2 - 18x^2 - x
f'(x) = (36x^3 + 24xy^2 - 4y^2 - 18x^2 - x)/(2y - 24x^2y - 16y^3 + 8xy)
f'(0, 0.5) = -4(0.5)^2/(2(0.5) - 16(0.5)^3) = -1/(1 - 2) = -1/-1 = 1
Let the required equation be y = mx + c; where y = 0.5, m = 1, x = 0
0.5 = 1(0) + c = 0 + c
c = 0.5
Therefore, the tangent line at point (0, 0.5) is
y = x + 0.5
Answer: 598
Step-by-step explanation: 23 x 26 = answer = 598
Answer:
3
Step-by-step explanation:
Sorry if it's wrong and semogamem helps
