Answer:
20
Step-by-step explanation:
There are 20 ways to select 3 cups from the 6 cups.
This can be calculated using formula nCr
Where,
n = objects
r = sample
Calculating 6C3 using calculator that is 20.
The exponential equation that gives the number of bees in week 12 is of:
<h3>What is an exponential function?</h3>
It is modeled by:
In which:
In this problem, considering that the initial week is the first, and the value triples every week, the expression for the number of bees after x weeks is given by:
Hence, after 12 weeks, the expression is:
More can be learned about exponential equations at brainly.com/question/25537936
The candle would burn for 18 hours.
45 / 15 = 3
If the candle is three times longer than normal, it will burn three times longer than normal.
3 x 6 = 18
Answer:
The pressure is
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form or
In this problem we have
where
V is the volume of a gas at a constant temperature
P is the pressure
we have
For ,
step 1
Find the value of k
substitute the values of V and P
The equation is equal to
step 2
Find the pressure when the volume is 125 cubic inches
For
substitute in the equation and solve for P
Answer:
The length of BC = 28 units
Step-by-step explanation:
* In triangle ABC
∵ Angles B and C are congruent
∴ m∠B = m∠C
* In any triangle if two angles are equal in measure, then the triangle is isosceles means the two sides which opposite to the congruent angles are equal in length
∴ AB = AC
∵ AB = 4x - 7
∵ AC = 2x + 7
∴ 4x - 7 = 2x + 7 ⇒ collect like terms
∴ 4x - 2x = 7 + 7
∴ 2x = 14 ⇒ divide both sides by 2
∴ x = 14 ÷ 2 = 7
* Now we can find the length of BC
∵ The length of BC = 4x ⇒ substitute the value of x
∴ The length of BC = 4 × 7 = 28 units