Answer:
23 ^ ( a+b)
Step-by-step explanation:
23^a *23^b
Since the bases are the same, we can add the exponents
23 ^ ( a+b)
Answer:
6
Step-by-step explanation:
Don't worry about that little one, Its just 3 x 2 = 6 the one means to multiply that number once.
Answer:
D. 850 square foot
Step-by-step explanation:
Area of a space is the length
multiply by the width
The area for the kitchen, dining, office and sunroom will be calculated independently and added together.
Note the word "and the office and sunroom are each 10 feet by 10 feet"
Kitchen area = 10 ft x 15ft= 150sqft
Living/Dining area = 20ftx25ft= 500sqft
Sunroom = 10ftx10ft= 100sqft
Office= 10ftx10ft=100sqft
Therefore total surface area is the cumulative of the 4 areas
150sqft+500sqft+100sqft+100sqft= 850sqft
Answer:
400 lb of salt
Step-by-step explanation:
Let us assume the water flows into the rank for x minutes.
There is an initial of 1000 gallons of water in the tank and water flows in through one pipe at 4 gal/min and through another pipe at 6 gal/min. In x minute, the amount of water in the tank = 1000 + 4x + 6x = 1000 + 10x
Water flows out at 5 gal/min, therefore in x minute the amount of water in the tank = 1000 + 10x - 5x = 1000 + 5x
The tank begins to overflow when it is full (has reached 1500 gallons). Therefore:
1500 = 1000 + 5x
5x = 1500 - 1000
5x = 500
x = 100 minutes.
1/2 lb salt per gallon flows into the tank at 4 gal/min and 1/3 lb of salt is flowing in at 6 gal/min, in 100 min the amount of salt that entered the tank = 4 gal/min × 100 min × 1/2 lb/gal + 6 gal/min × 100 min × 1/3 lb/gal= 400 lb
Therefore the amount of salt is in the tank when it is about to overflow = 400 lb of salt
Answer:
The vertex is (-3,-2)
The vertex is basically the very top or very lowest, so you will notice how values around (-3,-2) are relatively the same in the y coordinate, but -2 is the "highest/lowest" so that's how you know it's a vertex.
If you try picturing the points in your head, you will see it make a U and at the bottom of the U is the vertex.
