Answer:
Initial value = 4
Growth factor = 1.6
Step-by-step explanation:
Function representing the exponential growth is given by,
f(x) = Initial value(1 + growth rate)ˣ
Here x = time or duration for growth
(1 + growth rate) = Growth factor
Given function is,
f(x) = 4(1.6)ˣ
By comparing both the functions,
Initial value = 4
Growth factor = 1.6
We know that all black beards cost the same money
And all red beards cost $25
And B represents number of black beards
And R represents number of red beards
We have been given the inequality 20B+25R > 350 to show the target for this month.
The above inequality shows that Merlin needs to make more than 350, hence he made 350 last month
Further, it shows that B has been multiplied by 20, hence the black beard's cost was 20
Answer:
0.00324 kilometres
Step-by-step explanation:
Remember:
100 centimeters = 1 meter
1000 meters = 1 kilometer
So first, let's add together the meters and centimeters. To do that, we have to convert the meters to centimeters. That would become 300 centimeters, then you add the 24 centimeters to get 324 centimeters. Then, you convert that to kilometers. You can use a calculator for this, but I'll show you how to do this without a calculator. Since 100 centimeters is one meter, and 1000 meters equals to one kilometer, there would be 5 spaces from 324 to our answer, so you move the invisible decimal point 5 spaces to the left, and you get your answer, which is 0.00324 kilometres!
<span>Based in the information given in the problem, you must apply the The Angle Bisector Theorem. Let's call the triangle: "ABC"; the internal bisector of the angle that divides its opposite side: "AP"; and "x": the longest and shortest possible lengths of the third side of the triangle.
If BP= 6 cm and CP= 5 cm, we have:
BP/CP = AB/AC
We don't know if second side of the triangle (6.9 centimeters long) is AB or AC, so:
1. If AB = 6.9 cm and AC = x:
6/5 = 6.9/x
x = (5x6.9)/6
x = 5.80 cm
2. If AC= 6.9 cm and AB= x:
6/5 = x/6.9
x = 6.9x6/5
x = 8.30 cm
Then, the answer is:
The longest possible length of the third side of the triangle is 8.30 cm and the and shortest length of it is 5.80 cm.</span>
Answer:
a)C
b)E
Step-by-step explanation:
a) You have to pick a vowel. There are three vowels and a total of 6 letters so it is 3/6 so the answer is C
b) Picking a card that is not T. None of the 6 letters are T so the probablity of picking a card with no T is 1. So the answer is E.
