Answer: Third option.
Step-by-step explanation:
By definition, Exponential functions have the following form:
Where "b" is the base (
and 
), "a" is a coefficient (
) and "x" is the exponent.
It is importat to remember that the "Zero exponent rule" states that any base with an exponent of 0 is equal to 1.
Then, for an input value 0 (
) the output value (value of "y") of the set of ordered pairs that could be generated by an exponential function must be 1 (
).
You can observe in the Third option shown in the image that when ,
Therefore, the set of ordered pairs that could be generated by an exponential function is the set shown in the Third option.
The answer would be the second option, 13.0 cm.
To find the missing length of the leg, you would use the pythagorean theorem and substitute your inputs in.
a^2+b^2=c^2
11^2+b^2=17^2
121+b^2=289
b^2=168
b=12.96
b=13.0 cm (rounded up)
Answer:
h = 24 cm
Step-by-step explanation:
The formula for area of a triangle is
A = (1/2)bh where b is the base and h is the height.
We are told that the base is 5 times the height, this translates to
b = 5h, so we can rewrite our formula to
A = (1/2)(5h)(h) or
A = (1/2)5h²
We are given A = 1,440, so plug that in and solve for h...
1,440 = (1/2)5h²
2,880 = 5h² (multiply both sides by 2 to get rid of the fraction)
576 = h² (divide both sides by 5 to get the h value by itself)
24 = h (take the square root of both sides)
To solve this problem, let us recall that the formula for
probability is:
Probability = total number of successful events / total
events
Where in this case, an event is considered to be successful
if the sum is 3 on the pair of six sided dice.
First, let us calculate for the total number of events. There
are 6 numbers per dice, therefore the total number of combinations is:
total events = 6 * 6 = 36
Next, we calculate for the total number of combinations
that result in a sum of 3. We can identify that there are only two cases that
result in sum of 3. That is:
1st case: first dice rolls 1, second dice
rolls 2
2nd case: first dice rolls 2, second dice
rolls 1
Hence, total number of successful events = 2. Therefore the
probability is:
Probability = 2 / 36 = 1 / 18 = 0.0556 = 5.56%
First one is : D (6)
Second one is : B (1/3)
Hope this helps!
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