F(x) = 5(4)^x is the correct answer.
total volume of the glass is
.
<u>Step-by-step explanation:</u>
Here we have , A glass is 1/4 full. Then 70cm3 of orange juice is poured in.
The glass is now 3/5 full. We need to find that What is the total volume of the glass . Let's find out :
Suppose that volume of glass is x ,so according to question we have the following equation
, Now, solve this to find value of x
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Therefore, total volume of the glass is
.
Answer:
The probability is 0.28157
Step-by-step explanation:
The number of answers are 40 answers ( 10 questions and 4 answer each)
The number of correct answers is only 10
So the probability that he answers 2 exactly out of 10 means he correctly selected 2 answers
The probability will be;
10 C 2/ 40 C 10
This mean out of the total 10 correct, he selects 2 and out of the total 40 , he selects 10
The probability of selecting a correct answer is;
1/4 while the probability of selecting a wrong one is 3/4
So probability of selecting 2 correct out of a total 10 will be
10 C 2 (1/4)^2 (3/4)^8
= 0.28157
Answer:

Step-by-step explanation:
To find the distance between any two points, we can use the distance formula.
The distance formula is:

Let (2,8) be x₁ and y₁ and let (7,7) be x₂ and y₂. Thus:

Simplify:

Square:

Add:

And that's our answer :)
Answer:
b. 3
Step-by-step explanation:
In a 30°-60°-90° triangle, the short side is ½ the hypotenuse [the long side is double the short side].
30°-60°-90° Triangles
x√3 → long side
x → short side
2x → hypotenuse
45°-45°-90° Triangles
x → two legs
x√2 → hypotenuse
I am joyous to assist you anytime.