Gabe has 4 birdcages. he keeps 5 birds in each cage. then gabe buys another birdcage. the new birdcage has the same number of birds. how many birds does gabe have now? use a bar diagram to represent the problem.

25 birds.

Step-by-step explanation:

Gabe has the number of birdcages = 4

The number of birds in each cage = 5

Then Gabe bought another birdcage, the new birdcage has the same number of birds.

Now the number of birdcages would be = 4 + 1 = 5

and the number of birds in each cage = 5

The total number of birds in all cages = 5 × 5  = 25 birds.

v = 1/3 a^2h

step-by-step explanation:

the volume is 1/3 a^2h.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.