The temperature rose 5 degrees from 6:00am to 12:00pm.
The average rate of change per hour in the temperature is 0.83 degrees.
What is the average rate of change per hourTo find the average rate of change per hour, we need to divide the total change in temperature by the number of hours over which the temperature changed.
The temperature rose by 5 degrees from 6:00 am to 12:00 pm, which is a period of 6 hours.
Therefore, the average rate of change per hour can be calculated as follows:
average rate of change per hour = total change in temperature / number of hours
So, we have
average rate of change per hour = 5 degrees / 6 hours
average rate of change per hour = 0.83 degrees/hour (rounded to two decimal places)
So, the average rate of change per hour is 0.83 degrees.
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A person places $728 in an investment account earning an annual rate of 4.4%, compounded continuously. Using the formula V = Pe^rt where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 16 years.
Answer:
Step-by-step explanation:
For us,
P = 728,
r = .044,
e is Euler's number (a constant), and
t is 16. Filling in:
\(V=728e^{(.044)(16)}\) and
\(V=728e^{(.704)}\) and
V = 728(2.02182385) so
V = $1471.89
A person places $728 in an investment account earning an annual rate of 4.4%, compounded continuously. The value of the account in t years is $1471.89.
We have given that,
P = 728,
r = 0.044,
e is Euler's number (a constant), and
t = 16.
What is the formula of the account in t years?The formula of the account in t years is,
\(V = Pe^{rt}\)
Use the given value in the above formula,
V = 728(2.02182385)
Therefore we get,
V = $1471.89
Therefore, the value of the account in t years is $1471.89.
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A bank features a savings account that has an annual percentage rate of r=4.5r=4.5% with interest compounded semi-annually. Monique deposits $2,000 into the account.
The account balance can be modeled by the exponential formula S(t)=P(1+rn)ntS(t)=P(1+rn)nt, where SS is the future value, PP is the present value, rr is the annual percentage rate, nn is the number of times each year that the interest is compounded, and tt is the time in years.
(A) What values should be used for PP, r, and nn?
P=, r=, n=
(B) How much money will Monique have in the account in 9 years?
Answer = $ .
Round answer to the nearest penny.
(C) What is the annual percentage yield (APY) for the savings account? (The APY is the actual or effective annual percentage rate which includes all compounding in the year).
APY= %.
Round answer to 3 decimal places.
The required answers ar(a)P = $2,000,r = 4.5%,n = 2 (b)$ 2985.17, (c) 4.45%
How to find the future value and interest?(A) Using the given information, we can identify the following values:
P = $2,000 (the present value or initial deposit)
r = 4.5% (the annual percentage rate)
n = 2 (the number of times per year that interest is compounded, since it is compounded semi-annually)
(B) To find the future value of the account balance after 9 years, we can use the formula:
\(S(t) = P(1 + r/n)^{nt}\)
where t is the time in years. Substituting the given values:
\(S(9) = $2,000(1 + 0.045/2)^{2*9}= $2,000(1.0225)^{18}\)
= $2,000(1.505016)
= $2985.17
Therefore, Monique will have $$2985.17 in the account in 9 years.
(C) The annual percentage yield (APY) takes into account the effect of compounding on the effective interest rate. It is calculated as:
\(APY = (1 + \frac{r}{n})^n - 1\)
Substituting the given values:
\(APY = (1 + 0.045/2)^2 - 1\)
= 0.0445 or 4.45%
Therefore, the annual percentage yield for the savings account is 4.45% rounded to 3 decimal places.
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Valerie and her parents are going to her grandparents' house in Tennessee. It is a 3-hour drive. If they leave at 9:00 am and don't make any stops, what time will they be at Valerie's grandparents' house?
Answer: 12:00 pm
Step-by-step explanation:
Valerie and her parents are goig to see her grandparents.
The grandparents leave 3 hours away.
They leave at 9:00 am.
The rime they'll arrive is therefore:
= 9 + 3 hours
= 12:00 pm
The subject of the formula below is y.
a=4x/t - p
Rearrange the f make x the subject.
Answer:
x = t(a+p)/4
Step-by-step explanation
Given the expression
a=4x/t - p
We are to make x the subject of the formula
a=4x/t - p
Add p to both sides
a+p = 4x/t - p+p
a+p = 4x/t
Cross multiply
t(a+p) = 4x
Rearrange
4x = t(a+p)
Divide both sides by 4
4x/4 = t(a+p)/4
x = t(a+p)/4
6. What might be the opportunity cost of a large portion of your income going toward credit
card payments each month?
change 45% into decimal
1. a certain college wants to estimate the amount of time students, who live off campus, spend commuting to classes each week. a random sample of 45 off-campus students is surveyed. a) identify the population and sample for this study. b) what data is being collected? what type of data is this? c) what type of study is this?
The objective of this research is to collect data on a specific component of the off-campus student population.The amount of time they spend travelling to courses each week.
a) The population for this study is all off-campus students at this college, and the sample is a random sample of 45 off-campus students who are polled. The sample is chosen at random to be representative of the entire population.
b) The data being gathered is the amount of time the surveyed students spend each week travelling to school. Because it reflects a numerical measurement, this is quantitative data. This information will be used to calculate the average commuting time for off-campus students and to identify any possible concerns or areas for improvement in commuting.
c) This is a descriptive research, since it seeks to characterise and summarise the features of the off-campus student population in terms of commuting time. The study's purpose is to better understand off-campus students' commuting patterns and gather ideas into how to enhance their commuting experience.
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PLEASE HELP WITH BOTH I WOULD APPRECIATE IT SO SO SO MUCH❤️
Answer:
The answer to question 14 is (6, 5), and the answer to question 15 is D) x = -2 and y = 1.
Step-by-step explanation:
Question 14 explanation: Because each line on the graph represents a different function, that means that the point where they intersect is the answer, as the point both appear on the equations \(y = \frac{1}{2} x+2\) and \(y=x-1\). Since the two equations' point of intersection is (6, 5), that means the solution to the system of equations is the point (6, 5).
Question 15 explanation: The solution to the system of equations \(3x+4y=-2\) and \(2x-4y=-8\) would be the x and y values that satisfy both equations. If you select the pair on selection D, you'll find that it's valid. \(3(-2)+4(1)=-2\) ⇒ \(-6+4=-2\) ⇒ \(-2 = -2\), which is true, so choice D works for the first equation. \(2(-2)-4(1)=-8\) ⇒ \(-4-4=-8\) ⇒ \(-8=-8\), which is also true. This means that x = -2 and y = 1 is the solution to the system of equations, making choice D the correct answer.
So basically you have to: highlight all of the words that can be used to describe the following expression in another color. Sorry if the pic is a little blurry but I really need help with this!!! I highlighted some of them already. Plssss
Answer:
7m: multiplied by, times
x^2: squared, to the power of
2 - 4m: less than, difference
3r/b: quotient
4k + 7: increased by, more than, altogether
3(2 + y): multiplied by, per, product
good luck!!
Practice exercise for GED Can I find the correct forms doing mean variance and standard deviation discrete probability
Given
Probability distribution table
Find
Mean , variance and Standard Deviation
Explanation
As we have given
X = 0 , 1 , 2 , 3 , 4 , 5
P(X) = 0.15 , 0.20 , 0.35 , 0.22 , 0.07 , 0.01
Mean
Formula is given by
\(\mu=\sum_^X\cdot P(X)\)first we find the values of X.P(X)
\(\begin{gathered} \sum_^X\cdot P(X)=0+0.20+0.70+0.66+0.28+0.05 \\ \sum_^X\cdot P(X)=1.89 \end{gathered}\)Variance =
\(\begin{gathered} \sum_^(x-\mu)^2P(x) \\ 0.54+0.16+0+0.27+0.31+0.10 \\ 1.3779\approx1.38 \end{gathered}\)standard deviation =
\(\begin{gathered} \sqrt{variance} \\ \sqrt{1.38} \\ 1.174\approx1.17 \end{gathered}\)Final Answer
Therefore ,
Mean = 1.89
Variance = 1.38
Standard Deviation = 1.17
Will mark brainliest to answer with explanation
In a music competition, a participant has to score a total of at least 40 points in the first four rounds combined to move on to the fifth and final round. Glenn scored 4 points in the first round. He then went on to score additional points in the second, third, and fourth rounds. In each of those rounds, his score was identical. Which inequality best shows the number of points, p, that Glenn scored in each of the second, third, and fourth rounds if he earned a place in the finals?
4 + 3p ≤ 40
4 + 3p ≥ 40
4p + 3 ≥ 40
4p + 3 ≤ 40
Answer:
4 + 3p ≥ 40
Step-by-step explanation:
4 points in the first round plus 3p (identical scores) has to be at least 40 points or higher to move on.
Find the missing value. Hint: Use the number line to find the missing value. − 7 = −7=minus, 7, equals − ( − 2 ) −(−2)minus, left parenthesis, minus, 2, right parenthesis
Answer:
The missing value is -9
Step-by-step explanation:
Given
\(-7 = _ -(-2)\)
Required
Determine the missing value
Represent _ with a variable
\(-7 = x -(-2)\)
Open the bracket
\(-7 = x -1*-2\)
\(-7 = x + 2\)
Subtract 2 from both sides
\(-7 - 2 = x + 2 - 2\)
\(-9 = x\)
Reorder
\(x = -9\)
Hence, the missing value is -9
Answer:
The answer is 4=−2+6
Step-by-step explanation:
I checked on khan
So I got it wrong in my homework how do i translate it?
To translate something:
⇒ is to write out the equations
Let's examine what information this problem gives us:
Mrs. Albert has $400 ⇒ Total money = 400Mrs. Albert bought two adult tickets at $62.50 each⇒ with '2' being the number of adults tickets
⇒total charge from purchasing adult tickets = 2 * 62.5 = 125
Each child ticket costs $42.5⇒ with 'x' being the number of child tickets bought
⇒total charge from purchasing child tickets = 42.5x
Since the sum of total charge from purchasing adult tickets and total charge from purchasing child tickets is equal to 400:
⇒ 42.5x + 125 = 400 <== translated form
Let's solve:
\(42.5x+125=400\\42.5x=275\\x=6.47\)
Since we can only buy whole tickets:
Mrs. Albert could have bought at most 6 child tickets
Answer: Mrs. Albert can bring 6 kids
Hope that helps!
A hotel is designing a new lobby. The lobby shape is a rectangle with two congruent right triangles on either side, as shown below.
What is the total area, in square feet, of the lobby?
Answer:
kokomo John's Sunday on Sundays and Mondays I have to me I just ask that wat just got home so we got a mirror with it but how
Answer:620
Step-by-step explanation:
HELP PLEASE BRAINLYDetermine the approximate ordered pair for f(x) = g(x).
a
(4, 22)
b
(22, 4)
c
(4, 18)
d
(18, 4)
The approximate ordered pair for f(x) = g(x) is given by the intersection between the graphs, it is (4, 22), option a is the correct one.
How to determine the approximate ordered pair for f(x) = g(x)?
Here we have the graph of two functions, f(x) and g(x).
To find the ordered pair where f(x) = g(x) (basically we are solving a system of equations), we just need to identify the point on the graph where these two lines intersect.
We can see that it happens for a value of x that is between 0 and 10, and a value of y that is between 20 and 30, the only option that meets that requirements is:
(4, 22)
So option a is the correct one.
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it is known that the average number of pushups a u.s marine does daily is 300 with standard deviation of 50. a random sample of 49 marines is selected. a) the population of interest is [ select ] the parameter of interest is [ select ] the value of the parameter is [ select ] b) if is the sample mean number of pushups a u.s. marine does, since [ select ] , the central limit theorem holds and [ select ] , [ select ] ) c) the probability that the sample mean is less than 292 is [ select ] .
To solve we need to calculate the z-score, but since we are given the sample size then we shall begin as follows:
The z-score is calculated as (320 - 300)/(50/6) = 2.4, which means that the value of 320 is 2.4 standard deviations above the population mean of 300. Using a standard normal table or calculator, we can find the probability that a standard normal random variable is less than 2.4, which is approximately 0.9918.
This means that the probability that the sample mean is greater than 320 is approximately 0.9918. In other words, there is a 99.18% chance that a randomly selected sample of 36 U.S. Marines will have a mean number of pushups greater than 320.
μ=300, σ=50, n=36, x=320
So,
σ/√n
= 50/√36
= 8.33333
z=(320-300)/8.33333
z=2.4
Therefore,
P(x>320)=P(z<2.4)=0.9918.
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what measurement is equal to 6 kilometers
Answer:
where is the options? or is any given.
Step-by-step explanation:
The rate of change in y = 24x
Answer:
24
Step-by-step explanation:
Using the formula y = mx + b we can find the slope or rate of change. First we must convert it into the formula or equation we currently have which is y = 24x + 0.
24 = m
x = x
0 = b
m is always the rate of change or slope so by finding m we find the slope or rate of change.
Find the volume of the cylinder. Round your answer to the nearest tenth. Use 3.14 for . 7 in. 16 in. The volume of the cylinder is about in?.
Answer:
1406.7 in^3
Explanation:
The volume of a cylinder with radius r and height h is given by
\(V=\pi r^2h\)Now in our case h = 7 in, r = 16 /2 = 8 in, and in we use pi = 3.14, the above gives
\(V=3.14\cdot8^2\cdot7\)which gives
\(V=3.14\cdot64\cdot7\)\(V=1406.72\text{ in\textasciicircum{}3}\)Rounded to the nearest tenth this is
\(undefined\)
Answer:
The formula to calculate volume of a cylinder is given by the product of base area and its height. Volume of a cylinder = πr2h cubic units.
Step-by-step explanation:
Which ordered pair is the solution to the system of equations?
y=3r-10
2x+3y=3
O (3,-1)
O (2,4)
O (4, -2)
○ (0, 1)
The ordered pair which is the solution to the system of equations is (3,-1)
What is the solution to an equation?
In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.
y=3x-10 and 2x+3y=3
putting y=3x-10 in 2x+3y=3
⇒ 2x+3(3x-10)=3
⇒ 2x+9x-30=3
⇒ 11x=33
⇒ x=33/11
⇒ x=3
Putting x=3 in y=3x-10 ,we get
y=3×3-10
⇒ y=9-10
⇒ y=-1
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HURRY ILL GIVE EXTRA POINTS PLEASE GIVE AND ACTUAL ANSWER PLEASE IM BEGGING Find the value of x.
A. 8
B. 14
C. 22
D. 4
Answer: its 8
Step-by-step explanation: 5 x is equal too 5 times x and if you do 5 x 8 wich is 40, 40 + 15 =55
what is 5x+ 2x + 3x- 5= 3000?
Answer:
x = 300.5
Step-by-step explanation:
5x + 2x + 3x - 5 = 3000
Combine like terms
10x - 5 = 3000
Add 5 to both sides
10x = 3005
Divide both sides by 10 to get x alone
x = 300.5
HURRY PLEASE!!!! How does the median number of miles hiked by Fatima compare to the median number of miles hiked by Paulia? Show your work. 15 points.
The median number of hikes by Fatima compares to the median number by Paulia in that Fatima's median is higher than Paula's.
How to compare the median hikes?First, list out the number of hikes taken by both Fatima and Paula from the dot plots.
Fatima hikes :
5, 5, 5, 6, 6, 7, 8
Paula hikes :
3, 3, 4, 4, 5, 6, 10
The median for Fatima is 6 miles as this is the middle number, holding the 4 th position out of 7 hikes. The median for Paula is 4 miles when the same format is used.
This shows that Fatima's median is higher than Paula's.
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Estimate the number of repetitions that new service worker Irene will require to achieve ""standard"" if the standard is 28 minutes per repetition. She took 43 minutes to do the initial repetition and 38 minutes to do the next repetition. (Round your intermediate calculations to 4 decimal places and final answer to the next whole number.)
Irene will require approximately 2.2 repetitions to achieve the "standard" if the standard is 28 minutes per repetition.
To calculate the number of repetitions Irene will require to achieve the standard, we can use the concept of proportional reasoning. We can set up a proportion using the time taken for the initial repetition and the time taken for the next repetition.
Let's define "x" as the number of repetitions Irene will need to achieve the standard. We can set up the proportion as follows:
43 minutes / 1 repetition = 38 minutes / x repetitions
Cross-multiplying and solving for "x" gives us:
43x = 38
x = 38 / 43
x ≈ 0.8837
Since we're looking for a whole number, we need to round up. Therefore, Irene will require approximately 2.2 repetitions to achieve the "standard." Rounding up to the next whole number, she will need 3 repetitions.
Please note that this calculation assumes the time taken for each repetition is consistent and that Irene's performance improves over time. It's also worth considering that additional factors may affect Irene's progress, such as training, experience, and any potential improvements in efficiency.
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22 * 2\(\left \{ {{y=2} \atop {x=2}} \right. \int\limits^a_b {x} \, dx \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \alpha \pi \neq \sqrt{x} x^{2} \geq \leq\)
Answer:
44 i think :|
If we put y=3x +2 into our calculators what would be the y values when x is 0,1,2?
3,6,8
3,6,8
2,5,8
2,5,8
1,4,7
1,4,7
3,6,9
Answer:
y=3x+2 but x=0 , 1 and 2
y=3x+2
y=3(0)+2
y=0+2
y=2
y=3x+2
y=3(1)+2
y=3+2
y=5
y=3x+2
y=3(2)+2
y=6+2
y=8
so the answer is if its the value of x is 0,1,2 the value of y will 2,5 and 8
An icecream shop has 10 flavors. One can choose 4 different
flavors. What is the total number of possible flavor
combinations?
a.
252
b.
462
c.
120
d.
330
e.
210
2.
An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.
In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.
Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors
.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).
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whats the equation for the table
Answer:
y= 32x
Step-by-step explanation:
Use slope formula
192-128/6-4= 64/2
M=32x
Find y-intercept (if any)
128=32(4)+b
128=128+b
B=0
“The length of the base of a parallelogram is 14 centimeters, and the corresponding height is ‘h’ centimeters. Which formula can be used to find ‘A’, the area of the parallelogram in square centimeters.”
A. A = 14 + h
B. A = 14h
C. A = 1/2 (14h)
D. A = 1/2 (14 + h)
Which answer??
I am really bad at this so please help!
The expression for finding the area of the given parallelogram is A = 14h.
What is parallelogram?In geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
Given that, the length of the base of a parallelogram is 14 centimeters, and the corresponding height is ‘h’ centimeters.
We need to find the expression which gives the area of the parallelogram,
Since, we know that the area of the parallelogram is the product of the its height and the base length,
Area = height x base
Area = 14h
Hence, the expression for finding the area of the given parallelogram is A = 14h.
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