Answer:
y = 4(2^x)
Step-by-step explanation:
To write the exponential values, compare the y values. Notice they are multiples of 8 and they are increasing. This means the base is likely 2 or 4 since each of these numbers has the same multiples. Our options also only include base 2 and 4.
Try 4^1 = 4 and 4^4 = 256.
Try 2^1 = 2 and 2^4 = 16.
None of these give the exact values in the points. This means there is an initial value multiplied to them as well.
When x = 1 and the base is 4, the value is too small. But when x = 4, the value is too large. This cannot be reconciled.
When x = 1 and x = 4 for the base 2, both values are too small and could be multiplied by the same number to get the right values.
2*4 = 8
16*4 = 64
The initial value is 4 so the function is
the answer to the equation is -280
Given:
Number of red marbles = 8
Number of blue marbles = 5
Number of green marbles = 11
Number of yellow marbles = 1
One marble is selected at random.
To find:
The P(red, green or yellow).
Solution:
Number of red, green or yellow marbles = 8 + 11 + 1
= 20
Total number of marbles = 8 + 5 + 11 + 1
= 25
The probability of getting a red, green or yellow marble is:
Therefore, the value of P(red, green or yellow) is 0.8.
Answer:
5.65685424 (not rounded)
Step-by-step explanation:
(
1
,
3
)
, (
5
,
7
)
Use the distance formula to determine the distance between the two points.
Distance
= (
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
Substitute the actual values of the points into the distance formula.
(
5
−
1
)
2
+
(
7
−
3
)
2
Simplify.
4
√
2
The result can be shown in multiple forms.
Exact Form:
4
√
2
Decimal Form:
5.65685424
Answer:
63.24 feet³
Step-by-step explanation:
Volume = 12 × 3.1 × 1.7
= 63.24