Answer:
We may log in directly in our scientific calculator the given value ln 7 and get an answer of 1.9459. On the other hand, we can rewrite the expression as,
log to the base e or 7 = x
which can be written as,
e^x = 7
The value of x from this is still equal to 1.9459.
Step-by-step explanation:
Answer:
h(x) = 
-18
Step-by-step explanation:
-b/2a is the formula to find the vertex's x coordinate.
-10/2(1) = -5 and "(x+5)" represents a translation to the left 5 units, so that must be the answer
Answer:
95
Step-by-step explanation:
If the mean is 400 and the standard deviation 12.5. It means that a range between 375 and 425 is the mean +- 2 standard deviations
400 - 12.5*2 = 375
400 + 12.5*2 = 425
Which means the probability is 95%
When you are looking for +- 1 deviation standard the probability is 68, and for +- 3 the probability is 99.7
There is a more complex explanation based on Z, but assuming you are only applying 68-95-99.7 rule this should be enough.
The figures are similar, so the corresponding sides are proportional.
For example, the ratio of BD to HF could be 2:1 meaning BD is twice as long as HF. We could have BD = 10 and HF = 5 for instance.
The other sides would be in the same proportion to keep the figures similar. So another example would be ND/TH = 2/1
The length of the other leg of the right triangle will be 13.86 cm.
The complete question is given below.
The triangle BCD is a right triangle. The length of the hypotenuse is 19 centimeters. The length of one of the legs is 13 centimeters.
What is the length of the other leg?
<h3>What is a Pythagoras theorem?</h3>
The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
Let the unknown sides be x. Then we have,
19² = 13² + x²
361 = 169 + x²
x² = 361 – 169
x² = 192
x = 13.856 ≈ 13.86 cm
More about the Pythagoras theorem link is given below.
brainly.com/question/343682
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