Answer:
a= 62.39
Step-by-step explanation:
A rectangular swimming pool is 15 meters long, 11- meters wide, and 4-meters deep. What is its 2 2. volume? The volume is cubic meters.
Answer:
the volume of the rectangular swimming pool is 660 meters cubic
Step-by-step explanation:
you multiply 15x11x4
What is the probability of choosing a heart or a spade from a deck of cards? Type your answer as a fraction.
Answer:
26/52 or 1/2
Step-by-step explanation:
There are 13 cards per suit therefore there must be 26
Answer:
Step-by-step explanation:
13/52
Ana opened a bank account with $1000 that earns interest, compounded continuously, at an annual rate of r=0.02 . Money can be withdrawn from the account at regular intervals, and no additions to the account can be made. The function P models the balance of the account, in dollars, at time t. Assume that Ana withdraws money from the account continuously at a rate of N dollars per year.
Required:
Write down the differential equations that best describes the relationship between P and t?
Answer:
dp/dt = 0.02P-N
Step-by-step explanation:
[tex]\frac{p(t+t)}{nt}[/tex]
The differential equation that describes the relationship between P and t is:
dP/dt = rP - N
where P is the balance in dollars, t is time in years, r is the annual interest rate, and N is the rate of withdrawals in dollars per year.
What is a differential equation ?A differential equation is an equation that relates an unknown function to its derivatives (or differentials) with respect to one or more independent variables. In other words, it is an equation that involves derivatives of an unknown function.
The rate of change of the balance P in the bank account is equal to the difference between the rate of interest earned on the account and the rate at which money is withdrawn from the account.
The rate of interest earned on the account is given by the continuous compounding formula:
dP/dt = rP
where r is the annual interest rate, P is the balance in dollars, and dP/dt is the rate of change of P with respect to time.
On the other hand, the rate at which money is withdrawn from the account is given by the expression:
dN/dt = N/T
where N is the rate of withdrawals in dollars per year, and T is the time interval in years between withdrawals.
If we assume that Ana withdraws money from the account continuously at a rate of N dollars per year, we can write:
N = dN/dt
Substituting this into the first equation, we get:
dP/dt = rP - dN/dt
Substituting the expression for dN/dt, we get:
dP/dt = rP - N/T
Simplifying, we get:
dP/dt = rP - N
which is the differential equation that describes the relationship between P and t.
The differential equation
dP/dt = rP - N
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(d) Work out
1
4 of 28 kg.
Step-by-step explanation:
[tex]here \: is \: your \: soution \\ \\ (1 \div 4) \times 28 \\ \\ 28 \div 4 = 7 \\ \\ 7 \: is \: your \: answer \\ \\ hope \: it \: help[/tex]
If l || m, determine what type of angles they are and find the value of x.
Answer the question asked. When necessary, round to the nearest hundredth.
A boat moves 6 kilometers upstream in the same amount of time it moves 20 kilometers
downstream. If the rate of the current is 6 kilometers per hour, find the rate of the boat in still water.
Answer:
0.555km p/h
shown as 555m p/h
Step-by-step explanation:
First we convert km to meters
6k = 6000m
Time = distance / rate.
20/6 = 3.33333333 = 3hr + ( 0.33 x 60 = 19.8) - 3.20hr
then 3.33 / 6 = 0.555 km = 555 meters p/h
Amy spent $42 on breakfast for her family. She gave the waiter an 18% tip. What is the tip?
Micah is flying a kite and has used all of the 50 meters of the string. If the kite is 13 meters above the ground, what is the angle of elevation that
the boy has when looking up at the kite?
Sketch a picture and solve. Round to the nearest degree.
ILL MARK YOU THE BRANLIEST ANSWER IF YOU ANSWER FAST PLEASE
Answer:
37
Step-by-step explanation:
I believe you subtract the meters to the meters above the ground
What is the area of the real object that the scale drawing models?
Scale factor: 1:4
Area =
6 square cm
Scale drawing
Object
O A. 24 square cm
O B. 96 square cm
O C. 64 square cm
O D. 48 square cm
Answer:
96
Step-by-step explanation:
I just did it on a p 3 x
Rearrange the equation so n is the independent variable.
3m-2n=12
Answer:
[tex] \displaystyle m = \frac{2}{3} n + 4[/tex]
Step-by-step explanation:
we are given a equation
we want to make n the independent variable
to do so
move -2n to right hand side and change its sign:
[tex] \displaystyle 3m = 12 + 2n[/tex]
divide both sides by 3:
[tex] \displaystyle m = \frac{12 + 2n}{3} [/tex]
further simplification is needed:
[tex] \displaystyle m = \frac{12 }{3} + \frac{2n}{3} [/tex]
[tex] \displaystyle m = \frac{2}{3} n + 4[/tex]
now m depends on n and n can be any value so we have rearranged n to independent variable
and we are done!
Answer:
M= 3/2n+4
Step-by-step explanation:
The value 0.01 is the maximum safe level of some naturally occurring lethal pollutant in drinking water for human consumption. You need to decide if you will use water coming from a specific source for one of the beverages your company produces, based on sample measures of this pollutant taken in random different locations and times at the source of water. In this case you would want to _____.
Question Completion:
Suppose that
H subscript o : mu less or equal than 0.01
H subscript alpha : mu greater than 0.01
The value 0.01 is the maximum safe level of some naturally occurring lethal pollutant in drinking water for human consumption. You need to decide if you will use water coming from a specific source for one of the beverages your company produces, based on sample measures of this pollutant taken in random different locations and times at the source of water. In this case you would want to _____.
A. maximize the power of the test
B. maximize beta
C. minimize mu
D. maximize the significance, alpha
E. maximize 1 minus alpha
Answer:
In this case you would want to _____.
D. maximize the significance, alpha
Step-by-step explanation:
The alpha (α) denotes the significance level or the probability of rejecting the initial or null hypothesis when it is true.
A higher alpha (α) reduces the probability of committing a Type II error or not rejecting the null hypothesis. On the other hand, a higher alpha (α) makes it more probable to reject a null hypothesis when it is true (Type I error).
14x+5y=31
2x−3y=−29
Answer:
x = -1, y = 0=9
Step-by-step explanation:
Multiply the second equation by 7 and subtract the two.
14 x + 5 y = 31
- (14 x - 21 y = -203)
This gives 26 y = 234. Divide both sides by 26. y = 9
Then substitute y into any equation. I'll use
2 x - 3 y = -29
2 x -3(9) = -29
2 x - 27 = -29
2 x = -2
x = -1
TO
Rewrite the following equation in slope-intercept form.
5x + 4y = 3
1. Use ( − 4) 2 − 28 = 8 for the following: a. Explain why ( − 4) 2 − 28 = 8 has two solutions. (5 pts) b. Solve the equation to find the solutions. Show your work. (5 pts)
Well, ( − 4) 2 − 28 = 8 has two solutions because (-4) -w = 8 = ? once determined - 4 would equal 20 + the left over which is 8. This can be solved multiple ways and even backwards.
For the the equation (-4)² - 28 = 8 the solutions are x = 2 and x = -10.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The equation (-4)² - 28 = 8 has two solutions because when we square -4, we get 16.
When we subtract 28 from 16, we get -12.
But if we add 28 to -12, we get 16 again.
So we have two values of x that satisfy the equation: x = -4 and x = 4.
b. We can solve the equation by adding 28 to both sides:
(-4)² - 28 + 28 = 8 + 28
Simplifying, we get:
(-4)²= 36
Taking the square root of both sides, we get:
-4 = ±6
So the two solutions are:
x = -4 + 6 = 2
x = -4 - 6 = -10
Therefore, the solutions to the equation (-4)² - 28 = 8 are x = 2 and x = -10.
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Given that f(x) = 5x+3 and g(x) = x²-3.
Find
a f(4)
b) f(g(x))
C). g( f (2))
Answer:
given;
f(x) = 5x+3
g(x) = x²-3.
Step-by-step explanation:
a f(4)=5×4+3=23
b) f(g(x))=f(x²-3)=5{x²-3)+3=5x²-15+3=5x²-12
C). g( f (2))=g(5×2+3)=13²-3=166
Given f(x) = 5 - x?, find f(3).
Answer:
the answer is 2
Step-by-step explanation:
just plug in the 3 for x and perform the neccessary calculation.
Answer:
2
Step-by-step explanation:
if x is 2 that means 2 + 3 = 5
Give me brainllest Plz
Please help with this question it is due today I will give 20 points. Thank you and may God bless you! :)
I would say A but please wait for someone else to answer to make sure it's not wrong I would hate for you to get this wrong
A new pair of shoes is advertised for $110. The sales tax is 7.5%. What is the total cost of the shoes?
Answer:
$118.25
Step-by-step explanation:
Always convert the percentage to a decimal by moving the decimal two points to the right/dividing by 100. So 7.5 % = 0.075
110 x 0.075 = 8.25 (the amount of tax added)
110 + 8.25 = 118.25
You can also multiply 110 by 1.075, where the "1" is the $110 and the ".075" is the tax, and save the step of adding. 110 x 1.075 = 118.25
I need help with this math problem
Please solve using the tangent formula(real answers only no links)
Answer:
x = 21.06 units
Step-by-step explanation:
Given that,
Base, b = 20
Height, h = x
Angle = 36
We need to find the value of x. Trigonometric formulas are used to solve such problems such that,
[tex]\tan(36)=\dfrac{x}{29}\\\\x=29\times \tan(36)\\\\x=21.06[/tex]
So, the value of x is equal to 21.06 units.
A recent hailstorm caused $1200 worth of body damage to Karen's car. Based
on Karen's insurance policy given below, how much money will Karen receive
after she files her claim?
Summary
Comprehensive Deductible: 333
Collision Deductible: 5550
Premium of $625 for 4 months
A. $625
B. $825
O C. $375
Ο Ο
D. $1200
Answer:B
Step-by-step explanation:
$825
What is the reciprocal of 14?
Reciprocal of 14 is 1/14.
Y-Coordinate
What is the Y-coordinate for each point below? The
y-coordinates are your code. (Use decimals where applicable.)
D
A
B
-2
]]]]
A
D
2 3
4
The numbers together form your code
Answer:
A = -2
B = 2
C = 2
D = 3
Step-by-step explanation:
those are the y- coordinates
Select the correct answer from each drop menu. A functions with the domain {2,3,4} has a specific range. Determine the function and its range. The function with the domain {2,3,4} is, and it's range is
Domain {2,3,4} is 3x+2 or x+1
range is {2,6,8} or {8,11,14}
Answer:
2,6.8, the range is 2
Step-by-step explanation:
Which of the following is NOT an example of a random sample? A. Placing the names of 500 people in the target population in a box and drawing 50 names without looking. B. Choosing a name at random from a list of 500 people in the target population and then choosing every fifth person on the list after that. C. Dividing a list of names in the target population by age and randomly selecting a proportional sample from each group. D. Starting with a list of 500 names in the target population and choosing the first 50 names on the list.
Answer:
B
Step-by-step explanation:
If it's not D, and I also learned it isn't C, then It's more than likley gonna be B. I think bc they vote every 5th person after the random.
Hope It Help :)
B. Choosing a name at random from a list of 500 people in the target population and then choosing every fifth person on the list after that.
What is random sample?In statistics, a simple random sample is a subset of people chosen at random from a larger group, all of whom were chosen with the same probability. It is a method of choosing a sample at random.
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11.) Jim took out a loan for $500. The
rate is 8%. How much does Jim owe
in interest if he pays it back in 4
years?
The amount Jim owes in interest if he pays it back in 4 years is $160
Calculating Simple interestFrom the question, we are to calculate how much Jim owes in interest
Using the simple interest formula,
I = PRT
Where I is the interest
P is the principal
R is the rate
and T is the time
From the given information,
P = $500
R = 8% = 8/100 = 0.08
T = 4 years
Putting the parameters into the formula, we get
I = 500 × 0.08 × 4
I = $160
Hence, the amount Jim owes in interest if he pays it back in 4 years is $160
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In QRS the measures of S = 90° and the measures of Q = 64° and RS = 16 feet find the length of QR to the nearest 10th of a foot
Answer:
vfd
Step-by-step explanation:
ddf
Pls do 4 and 5 for me <3
Beth wants to buy a radio for $36. She
gives the cashier $40. What is her
change?
Answer:
4
Step-by-step explanation:
Carl buys seven 5-gallon jugs of water for the water cooler. How many liters of water did Carl buy? (1 gal= 3.785 liters)
Answer:
Carl buys 132.475 liters of water.
Step-by-step explanation:
Since Carl buys seven 5-gallon jugs of water multiply 7 by 5 to know how many gallons of water Carl bought in total.
7(5) = 35 Gallons
Now that you have the total amount of gallons of water Carl bought you have to convert 35 gallons to liters given that 1 gallon = 3.785 liters by multiplying 35 by 3.785.
35(3.785) = 132.475
So Carl bought 132.475 liters of water.
Though that is the answer based on what is given a gallon is actually equal to 3.78541 liters so the exact answer would be 132.489 liters of water.