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Fantom [35]
3 years ago
13

Please help with this

Mathematics
2 answers:
Flura [38]3 years ago
6 0
The rate of change is 10 between 1 and 5

solmaris [256]3 years ago
4 0
I think you should do this equation
You might be interested in
A large container holds 8 gallons of water. It begins leaking at a constant rate. After 48 minutes, the container has 5 gallons
Juliette [100K]

Answer:

<em>The water is leaking at the rate of 0.0625 gal/min.</em>

Step-by-step explanation:

<u>Rate of change</u>

The rate of change (ROC) is a measure that compares two quantities, usually to know how fast one variable changes in time.

The container holds 8 gallons of water and is leaking at a constant rate to be calculated later.

When 48 minutes have passed, the container has 5 gallons of water left. This means it has leaked 8 gallons - 5 gallons = 3 gallons.

Calculating the rate at which it's leaking:

\displaystyle r=\frac{3\ gallons}{48\ min}

r = 0.0625 gal/min

The water is leaking at the rate of 0.0625 gal/min.

5 0
3 years ago
(plz help me) Chocolates cost $0.20 per ounce. Samantha spent $6.80 on chocolates. If n represents the number of ounces she boug
Lubov Fominskaja [6]

c 6.80/.20 equals n that is the answer


4 0
3 years ago
10. Determine if the triangle is a right triangle. Please help
sammy [17]

Answer:

it is a right triangle

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
a rectangular box with two sqaure opposite ends is to hold 8000 cubic inches. find the dimensions of the cheapest box if tge rec
AveGali [126]

Answer:

the dimensions of the box that minimizes the cost are 5 in x 40 in x 40 in

Step-by-step explanation:

since the box has a volume V

V= x*y*z = b=8000 in³

since y=z (square face)

V= x*y² = b=8000 in³

and the cost function is

cost = cost of the square faces *  area of square faces + cost of top and bottom * top and bottom areas + cost of the rectangular sides * area of the rectangular sides

C = a* 2*y² +  a* 2*x*y + 15*a* 2*x*y =  2*a* y² +  32*a*x*y

to find the optimum we can use Lagrange multipliers , then we have 3  simultaneous equations:

x*y*z = b

Cx - λ*Vx = 0 → 32*a*y -  λ*y² = 0 → y*( 32*a-λ*y) = 0 → y=32*a/λ

Cy - λ*Vy = 0  → (4*a*y + 32*a*x) - λ*2*x*y = 0

4*a*32/λ  + 32*a*x - λ*2*x*32*a/λ = 0

128*a² /λ +  32*a*x - 64*a*x = 0

32*a*x = 128*a² /λ

x  = 4*a/λ

x*y² = b

4*a/λ * (32*a/λ)² = b

(a/λ)³ *4096 =  8000 m³

(a/λ) = ∛ ( 8000 m³/4096 ) = 5/4 in

then

x  = 4*a/λ = 4*5/4 in = 5 in

y=32*a/λ = 32*5/4 in = 40 in

then the box has dimensions 5 in x 40 in x 40 in

3 0
3 years ago
Two numbers are randomly selected on a number line numbered from 1 to 9. Match each scenario to its probability.
Rama09 [41]

Answer:

NOt sure

Step-by-step explanation:

4 0
2 years ago
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