<h2><u>
PLEASE MARK BRAINLIEST!</u></h2>
Answer:
Let's see...
Step-by-step explanation:
- The first coin is a quarter.
- The second, third, fourth, and fifth coins are dimes.
- The sixth, seventh, and eighth coins are nickels.
That being said, what is the total value of the cents?
cents = ¢
<u>Values:</u>
Quarter = 25 ¢
Dime = 10 ¢
Nickel = 5 ¢
So,
1 quarter + 4 dimes + 3 nickels = total cents
25 + 10 + 10 + 10 + 10 + 5 + 5 + 5 = total cents
25 + 40 + 5 + 5 + 5 = total cents
25 + 40 + 15 = total cents
25 + 55 = total cents
80 = total cents
<h3><em>Our answer is 80¢</em></h3><h3><em /></h3>
I hope this helps!
- sincerelynini
Answer:
Step-by-step explanation:
The general equation is
y = 2.49x + 24.99
The number of cones bought is x
The cake cost is 24.99
The total cost is y
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So the meaning of (5,37.44) is that she bought 5 cones and 1 cake. Let's just check that out.
Check
y = 2.49*5 + 24.99
y = 12.45 + 24.99
y = 37.44
So the total cost (y) of 5 cones (2.49 each) and 1 cake ($24.99) is 37.44
They are traveling at right angles to each other so we can say one is traveling north to south and the other west to east. Then we can say that there positions, y and x are:
y=150-600t x=200-800t
By using the Pythagorean Theorem we can find the distance between these two planes as a function of time:
d^2=y^2+x^2, using y and x from above
d^2=(150-600t)^2+(200-800t)^2
d^2=22500-180000t+360000t^2+40000-320000t+640000t^2
d^2=1000000t^2-500000t+62500
d=√(1000000t^2-500000t+6250)
So the rate of change is the derivative of d
dd/dt=(1/2)(2000000t-500000)/√(1000000t^2-500000t+6250)
dd/dt=(1000000t-250000)/√(1000000t^2-500000t+6250)
So the rate depends upon t and is not a constant, so for the instantaneous rate you would plug in a specific value of t...
...
To find how much time the controller has to change the airplanes flight path, we only need to solve for when d=0, or even d^2=0...
1000000t^2-500000t+62500=0
6250(16t^2-8t+1)=0
6250(16^2-4t-4t+1)=0
6250(4t(4t-1)-1(4t-1))=0
6250(4t-1)(4t-1)=0
6250(4t-1)^2=0
4t-1=0
4t=1
t=1/4 hr
Well technically, the controller has t<1/4 because at t=1/4 impact will occur :)
Answer:
Step-by-step explanation:
Given : In a state where license plates contain six digits.
Probability of that a number is 9 =
[Since total digits = 10]
We assume that each digit of the license number is randomly selected .
Since each digit in the license plate is independent from the other and there is only two possible outcomes for given case (either 9 or not), so we can use Binomial.
Binomial probability formula: 
, where n= total trials , p = probability for each success.
Let x be the number of 9s in the license plate number.

Then, the probability that the license number of a randomly selected car has exactly two 9's will be :

Hence, the required probability = 0.098415
Answer:
Algebra
Step-by-step explanation: