Solve 2w2–64 = 0, where w is a real number.
Answers
Answer:
w = 4√2
Step-by-step explanation:
2w^2 - 64 = 0
=> 2w^2 = 64
=> w^2 = 32
=> w = √ 32
=> w = √ [(2 x 2) x (2 x 2) x 2]
=> w = 2 x 2 x √ 2
=> w = 4√2
Related Questions
6th grade math look at the pictures
Jessie owns a hot dog stand and sells specialized hot dogs. He charges $1.50 for a plain hot dog and then an additional $0.50 for each topping that you want. This can be modeled by the equation C = .5x + 1.5, where C is the total cost of the hot dog and x is the number of toppings you ordered. The company that he buys his hot dogs from was having a sale so he was able to buy the hot dogs for less. He will now sell them for $0.25 less than before. What should be changed in the equation C = .5x + 1.5 to represent this?
Which number line represents the solutions to |x + 4| = 2?
Given the exponential decay equation y = 4(0.8)^x what is the initial value?
Answers
Answer:
15 rides
Step-by-step explanation:
Subtract $7 from $29.50
and then divide what you got ($22.50) from $1.50
Answers
There are a couple different ways to get this answer. You could:
A. Subtract 127 from (positive) 225, to get the height difference. Or...
B. Subtract the starting height from the ending height (-127 - (-225)) which would also give you the height difference.
I hope this helps!
What is the value of x when g(x) = 28.3
Answers
Answer:
Step-by-step explanation:
It’s 5
C. Let D= -3. Create a sign chart to solve ()≥0 with this value for D. Write your solution in interval notation. Solutions without sign charts will receive a score of zero.
Answers
compounded quarterly. After 9 years, how much more money would Zachary have in
his account than Peyton, to the nearest dollar?
Answers
After 9 years, Zachary has $615.2 more than Peyton in his account.
What is compound interest?
A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.
We know that the compound interest is given as
A = P(1 + r)ⁿ
Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.
The equation is given as,
Zachary invested $5,300 in an account paying an interest rate of 9 % compounded continuously. Then the amount is calculated as,
P = $5,300 × 2.2479
P = $11,913.9
Peyton invested $5,300 in an account paying an interest rate of 85% compounded quarterly. Then the amount is calculated as,
A = $5,300 × 2.1318
A = $11,298.7
The difference is given as,
D = $11,913.9 - $11,298.7
D = $615.2
After 9 years, Zachary has $615.2 more than Peyton in his account.
More about the compound interest link is given below.
#SPJ5
Answer:625
Step-by-step explanation:
12048.7006-11423.8842
624.8164
$625
Answers
Answer:
0.0108
Step-by-step explanation:
Let X denote the number of uranium fission tracks occurring on the average 5 per square centimetre.We need to find the probability that a 2cm² sample of this zircon will reveal at most three tracks. X follows Poisson distribution, λ = 5 and s = 2.
k = λs = 5×2 = 10
Since we need to reveal at most three tracks the required probability is:
P (X≤3) = P (X =0) + P (X =1) + P (X =2) + P (X =3)
P (X≤3) = (((e^-10) × (10)⁰)/0!) + (((e^-10) × (10)¹)/1! + (((e^-10) × (10)²)/2! + (((e^-10) × (10)3)/3!
P (X≤3) = 0.0004 + 0.0005 +0.0023 +0.0076
P (X≤3) = 0.0108
Therefore, the probability that a 2cm² sample of this zircon will reveal at most three tracks is 0.0108
Answer:
p(x = 3, λ = 5) = 0.14044
Step-by-step explanation:
Given
λ = 5 (the average number of tracks per square centimeter)
ε = 2.718 (constant value)
x = 3 (the variable that denotes the number of successes that we want to occur)
p(x,λ) = probability of x successes, when the average number of occurrences of them is λ
We can use the equation
p(x,λ) = λˣ*ε∧(-λ)/x!
⇒ p(x = 3, λ = 5) = (5)³*(2.718)⁻⁵/3!
⇒ p(x = 3, λ = 5) = 0.14044