Answer:
4.67 pounds
Step-by-step explanation:
In order to find the answer we need to use the following formula:
V=k/P where:
V=volume
P=pressure of the gas
k= constant of proportionality
The above equation establishes that the volume is inversely proportional to the pressure of the gas.
Now, the problem gave us two situations, which are:
For a time 1, we have V1=210 cubic inches and P1=14 pounds, using the equation we have:
V1=k/P1
210 cubic inches=k*(14 pounds) which can be written as:
(210 cubic inches)/(14 pounds)=k
For time 2, we have V2=70 cubic inches and P2=P2 using the equation we have:
V2=k/P2
70 cubic inches=k*P2, using 'k-value' from above:
(70 cubic inches)=[(210 cubic inches)/(14 pounds)]*P2
(70 cubic inches)*(14 pounds)/(210 cubic inches)=P2
4.67 pounds = P2
Answer:
17 feet
Step-by-step explanation:
the seagull is originally 53 feet above water and dives 70 feet down. so 53-70=-17. 17 feet below water.
Answer:
4 5 2 3 ^ / 4 - × 4 9 2 - × +
Step-by-step explanation:
Start by putting a left parenthesis "(" on the operator stack, and adding a right parenthesis ")" to the end of the input expression.
Conversion algorithm
Copy any operands to the output string until an operator is encountered. Pop operators from the operator stack to the output string if they have equal or higher precedence, then put the operator encountered onto the operator stack. When a right parenthesis is encountered, pop operators from the operator stack to the output string until a left parenthesis is found. Drop that left parenthesis.
__
Given example
For the given expression, we copy 4 and 5 to the output, push / to the operator stack, copy 2 to the output, push ^ to the operator stack, and copy 3 to the output. At this point, the output is ...
4 5 2 3
and the operator stack is
( * ( / ^ . . . . . top item is on the right
When we encounter the - sign, we write the ^ and / operators to the output string and push - to the operator stack. At this point, the state is ...
output: 4 5 2 3 ^ / operator stack: ( * ( -
Next, we copy 4 to the output. When we encounter the right parenthesis, we copy - to the output and pop the ( from the operator stack.
The next input symbol, +, is lower precedence than the remaining * on the operator stack, so we output the * and push the +. Now we have ...
output: 4 5 2 3 ^ / 4 - * operator stack: ( +
The output string so far completes the evaluation of the first term of the input expression.
Now, we copy out 4, push * and (, copy out 9, push -, copy out 2. The right parenthesis triggers the popping of the - to the output, and the final right parenthesis that we added at the start pops the * and + from the operator stack. Our final output is ...
4 5 2 3 ^ / 4 - × 4 9 2 - × +
_____
The result is 14.5.
Hope This Helps!!!
Have a great day!!!
Step-by-step explanation:
Hope I made them right cause I dont know what grade are you and dont know other lessons before this exercise!Hope I am right! :)
To pay off your credit card debt of $3,500 at 13% interest rate in 4 years, you will have to calculate the monthly payments by using a certain formula. After defining the parameters (monthly payment, monthly interest rate, present value or current loan amount, and time), all you have to do is put the values in it and calculate the monthly payment.
This question refers to a financial problem in the subject of Mathematics, particularly pertaining to the concept of
simple interest
. To find out how much you need to pay each month to clear out your credit card debt, you would need to understand how the 13% interest is applied to your debt of $3,500. The formula for finding monthly payments is
P = [r*PV(1 + r)^t]/[(1 + r)^t – 1]
, where:
After defining the parameters, all you have to do is put the values in the formula and calculate the monthly payment.
#SPJ11
To calculate the monthly payments on a credit card debt of $3,500 with a 13% interest rate over 4 years, you can use the formula for calculating the monthly payment on a fixed-rate loan. The monthly payment comes out to be approximately $94.78.
To calculate the monthly payments on a credit card debt, you can use the formula for calculating the monthly payment on a fixed-rate loan. The formula is:
Monthly Payment = (Principal * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))
In this case, the principal is $3,500, the monthly interest rate is 13% divided by 12 (0.13/12), and the number of months is 4 years multiplied by 12 months (4 * 12). Plugging in these values, we get:
Monthly Payment = (3500 * 0.13/12) / (1 - (1 + 0.13/12)^(-4 * 12))
Solving this equation will give us the monthly payment amount. Using a calculator, the monthly payment comes out to be approximately $94.78.
#SPJ2
Answer:
Step-by-step explanation:
Let P(H) be the probability that he is accepted by Harvard
Let P(D) be the probability that he is accepted by Dartmouth
Let P(HnD) be the probability that he is accepted by Harvard and Dartmouth
Given data
P(H) = 0.3
P(D) = 0.5
P(DnH) = 0.2
To get the probability that he is accepted by Dartmouth if he is accepted by Harvard, can be gotten using the conditional probability formula.
P(D|H) = P(DnH)/P(H)
P(D|H) = 0.2/0.3
P(D|H) = 2/10/÷3/10
P(D|H) = 2/10×10/3
P(D|H) 2/3
b) The two events are independent if the occurrence of an event does not affect the other occurring. For the two events to be independent then;
P(DnH) = P(D)P(H)
Given P(D) = 0.5 and P(H) = 0.3
P(D)P(H) = 0.5 × 0.3
P(D)P(H) = 0.15
And since P(DnH) = 0.2, hence P(DnH) ≠ P(D)P(H)
This means that the event "accepted at Harvard" IS NOT independent of the event "accepted at Dartmouth" since the two values are not equal.
what is a t-statistic??
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