True. The answer is the product of 4 and a number plus another number.
Answer:
Ok, here is the answers! brainliest pleaseee :D
Step-by-step explanation:
13. - 0.624 kg. (Explanation: 104 grams per one pack of pop-tarts. 104 g x 6 packs of pop-tarts equal 624 grams in total. 624 grams to kilograms is 0.624 kg.)
14. - No. The tablecloth is 155 cm long. It needs to cover a table that is 1.6 meters long. 155 cm to meters is 1.55 meters. The tablecloth is 0.05 to short to cover the table. 1.6 meters - 1.55 meters = 0.005.
15 - Alex's sister rode the farthest. She rode 1,000 meters farther than Alex. 2 kilometers in meters is 2,000 meters. His sister rode 1,000 meters more than that, 3,000.
If you would like to solve a^(-5)b^(-4) / a^(-13)b^8, you can do this using the following steps:
a^(-5)b^(-4) / a^(-13)b^8 = a^13 / a^5b^4b^8 = a^8 / b^12
The correct result would be c. a^8 / b^12.
Answer: it is NOT proportional
Step-by-step explanation: it doesn’t stick to 1 number going up if that makes sense, it’s adding 1 each time it goes up but it has to stick to one number going up making this NOT proportional
Answer:
The objective function in terms of one number, x is
S(x) = 4x + (12/x)
The values of x and y that minimum the sum are √3 and 4√3 respectively.
Step-by-step explanation:
Two positive numbers, x and y
x × y = 12
xy = 12
S(x,y) = 4x + y
We plan to minimize the sum subject to the constraint (xy = 12)
We can make y the subject of formula in the constraint equation
y = (12/x)
Substituting into the objective function,
S(x,y) = 4x + y
S(x) = 4x + (12/x)
We can then find the minimum.
At minimum point, (dS/dx) = 0 and (d²S/dx²) > 0
(dS/dx) = 4 - (12/x²) = 0
4 - (12/x²) = 0
(12/x²) = 4
4x² = 12
x = √3
y = 12/√3 = 4√3
To just check if this point is truly a minimum
(d²S/dx²) = (24/x³) = (8/√3) > 0 (minimum point)
