Answer:
Part A:
This data is modeling an exponential function because the y-values are increasing at an increasing rate. For example, between station 1 and station 2, the time increased by 2 minutes, and between station 2 and station 3, the time increased by 4 minutes. The time between each station is increasing by a multiple of the time between the previous two stations. This indicates that the data follows an exponential curve.
Part B:
To represent this data as a function, we can use the formula y = ab^x, where a and b are constants and x is the input (station number).
Substituting in the values from the first data point, we get: 2 = ab^1
Substituting in the values from the second data point, we get: 4 = ab^2
We can then solve for a and b by dividing these equations:
4/2 = (ab^2)/(ab^1)
2 = b
Substituting this value back into the first equation, we get:
2 = a*2^1
1 = a
Therefore, the function that represents this data is y = 2^x.
Part C:
To find the average rate of change between station 2 and station 4, we can use the formula: (y2 - y1)/(x2 - x1).
Substituting in the values from the data, we get: (16 - 4)/(4 - 2) = 12/2 = 6.
Therefore, the average rate of change between station 2 and station 4 is 6.
Give an example of a polynomial that is a perfect square. How do you know that it is a perfect square? Give its factored form.
Answer:
Step-by-step explanation:
A polynomial is a perfect square if has the form:
[tex]a^2+2ab+b^2[/tex]
Its factored form is [tex](a+b)^2[/tex].
We can obtain examples by taking any value of a and b.
For example:
[tex]a=x[/tex] anb [tex]b=2y[/tex].
Thus we obtain a polynomial that is a perfect square:
[tex]x^2+2(x)(2y)+(2y)^2=x^2+4xy+4y^2[/tex]
Solve for B. Enter the number that goes under the radical Symbol
The number that goes beneath the radical is 7
What is the Pythagoras theorem?The Pythagoras theorem is used to find side or angle of a right angled triangle.
If you are dealing with any right triangle with given sides, using the Pythagorean Theorem, as shown below, makes things relatively simple.
Note that the Pythagorean Theorem: is a²+b²=c²
a and b are both the smaller sides of the triangle, while c is the hypotenuse (the longest side of the triangle).
This impies in this case, that we have 4 equivalent right triangles with given sides and for the hypotenuse, so let's see what we need to solve for by writing down what we know in a form following the Pythagorean Theorem.
The Pythagoras Equation is a²+b²=c²
Where a=3, b =? c=4
Isolate the unknown value without plugging in our known values yet. This step is unnecessary, but can help if you have trouble with making mistakes with your algebra.
a²+b²=c²
⇒b²=c²-a²
a=√(c²-a²)
Plug in our given values and solve for .
a=√(4²-3²)
a=√(16-9)
a=√7
Conclusively, the radical number that goes beneath 7
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Complete question :
The complete question is found on the attachment
XYZ Company
Balance Sheet
Assets
Cash
$45,000
Inventory $41,000
Property $134,000
Total Assets:
Liabilities
Notes
Wages
Equity
Stock
$55,000
$56,000
$50,000
Investment $59,000
Total Liabilities + Equity:
Using the balance
sheet, calculate XYZ
Company's total
assets - liabilities.
Total Assets - Liabilities = $ [?]
Enter
PH
Skip
Answer:
To calculate XYZ Company's total assets minus liabilities, you would need to add up all of the assets listed on the balance sheet and then subtract the sum of all the liabilities.
In this case, the total assets would be $45,000 + $41,000 + $134,000 = $220,000. The total liabilities would be $55,000 + $56,000 + $50,000 = $161,000.
So, the total assets minus liabilities would be $220,000 - $161,000 = $59,000.
Step-by-step explanation:
According to historical data, it is believed that 12% of American adults work more than one job. To investigate if this claim is still accurate, a random sample of 100 American adults is selected. It is discovered that 18 of them work more than one job. A researcher would like to know if the data provide convincing evidence that the true proportion of American adults who work more than one job differs from 12%. Are the conditions for inference met? Yes, the conditions for inference are met. No, the 10% condition is not met. No, the Large Counts Condition is not met. No, the randomness condition is not met.
Answer: The conditions for inference are met in this scenario.
In order to use inference to determine if the true proportion of American adults who work more than one job differs from 12%, the following conditions must be met:
The sample must be randomly selected from the population.
The sample size must be large enough (usually at least 30).
The sample must be representative of the population.
In this case, it is stated that a random sample of 100 American adults was selected, which meets the first condition.
The sample size of 100 is also large enough, which meets the second condition.
There is no information given about whether the sample is representative of the population, but this is not necessary for the conditions for inference to be met.
Therefore, the conditions for inference are met in this scenario.
Step-by-step explanation:
someone please help me
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the value of polynomial 5x - 4x square +3 when x=1
Step-by-step explanation:
[tex]5x - 4 {x}^{2} + 3[/tex]
[tex]5(1) - 4 {(1)}^{2} + 3 \\ 5 - 4 + 3 = 4[/tex]
Step-by-step explanation:
Solution:Given polynomial
5x - 4x² + 3
put x = 1
→ 5(1) - 4(1)² + 3
→ 5 - 4(1) + 3
→ 5 - 4 + 3
→ 8 - 4
→ 4.
El pepe el pepe el pepe
Answer:
um-
Step-by-step explanation:
Find the area of the polygon.
Answer: 174
Step-by-step explanation:
Split into two rectangles, first one has area of 54, other has area of 120. Add
Anwita and her sister have $230 in total. Anwita has x dollars and her sister has 20
less than quadruple what Anwita has. How much more money does Anwita need to
have the same amount as her sister?
Answer:
$130
Step-by-step explanation:
x (the $ Anwita has) + y (the $ her sister has) = 230
y = 4x - 20
=> x+y=230 => x + 4x - 20 = 230
=> 5x - 20 = 230 => 5x = 250
=> x = 50
=> y = 180
the difference between 180 and 50 (180 - 50) is 130.
so, Anwita needs $130 more to have the same amount as her sister.
how many positive 10 digit numbers can you make using seven ones and three zeros
The number of positive 10 digit numbers that can be made using seven ones and three zeros is; 28
How to solve probability combinations?We want to find the number of positive 10 digit numbers that can be made using seven ones and three zeros.
Now, the leftmost position digit cannot be 0 and as such it is 1, due to the fact that there are no other possibilities.
The rightmost position therefore must be 0 in order to fill the need for an even number.
Thus, we have 8 remaining positions that we need to fill with six ones and two zeros using an arbitrary manner.
This means that we can place two digits of zero among 8 positions by using combination formula as;
⁸C₂ = 8!/(2! * 6*)
= 28 different ways
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helppp...........................math
FIRST PERSON TO GET CORRECT GETS BRAINLIEST!!!!!!!
PLZ HELP!!!!!!!!!!!
Answer:
9-14-21 this one do not support the statement
Step-by-step explanation:
When Bashir commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 32 minutes and a standard deviation of 3 minutes. What percentage of his commutes will be shorter than 32 minutes, to the nearest 10th?
A percentage of his commute that would be shorter than 32 minutes, to the nearest 10th is equal to 50%.
How to determine the required percentage?Mathematically, the z-score of a given sample size or data set can be calculated by using this formula:
Z-score, z = (x - μ)/σ
Where:
σ represents the standard deviation.x represents the sample score.μ represents the mean score.Substituting the parameters into the z-score formula, we have;
Z-score, z = (32 - 32)/3
Z-score, z = 0/3
Z-score, z = 0
Since a commute of 32 minutes on a test corresponds to a z-score of 0, the percentage of the commute will be shorter than 32 minutes is given by:
P(x > 32) = P(z > 0)
P(z > 0) = 0.5
P(z > 0) = 50%.
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In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=71°, and RS = 2.5 feet. Find the length of SQ to the nearest tenth of a foot.
9514 1404 393
Answer:
0.9 ft
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
tan(71°) = (2.5 ft)/SQ . . . . . . . . fill in the given values
SQ = (2.5 ft)/tan(71°) ≈ 0.8608 ft
The length of SQ is about 0.9 feet.
Mean of 8, 3,5
and mean of 44,89,23
Answer:
mean of 8,3,5 = 5.333 or 16/3
mean of 44,89,23 = 52
Step-by-step explanation:
Answers and step-by-step explanations:
To find the mean, first, we are going to add all of the numbers, and divide by how many numbers there were. The first data set is:
8, 3, 5
Add them all up:
8 + 3 + 5 = 16
Then, since there were three numbers, we divide 16 by 3.
16/3 = 5.33
Therefore, the mean of 8, 3 and 5 is around 5.33.
The second data set is:
44, 89, 23
Add them up:
44 + 89 + 23 = 156
Then, divide it by how many numbers there were, which is 3.
156/3 = 52
Therefore, the mean of 44, 89 and 23 is 52. Hope this helps!
i am a 5 digit number,my ones place digit is of no use as i, i still remain same without it . my ten's and hundreds place digits are mirror images. my thousand place digit are half of 2nd, my 10thousand digit is 3 more than my ones place , who am i ?
Answer:
I think 34880.
Step-by-step explanation:
34880 I AM NOT SURE
Write an equation for the graph above
Answer:
y = 1/2x + 0
Step-by-step explanation:
Determine the lateral area and the surface area of a right rectangular prism that has rectangular bases measuring 2"x4" and a height of 8".
Answer:
112 in^2
Step-by-step explanation:
Given data
Length =2in
Width= 4in
Height=8 in
The expression for the total surface area is
SA=2lw+2lh+2hw
SA= 2*2*4+2*2*8+ 2* 4*8
SA= 16+ 32+ 64
SA= 112 in^2
Hence the surface area is 112 in^2
The Lateral area or the total surface area of the prism is 112 [tex]in^{2}[/tex].
The lateral surface area of a rectangular object is the sum of the surface areas of all the sides, which is its total surface area.
According to the question, let us assume,
width w = 2 in
length l = 4 in
height h = 8 in
The lateral surface area is
S = 2lw + 2lh + 2hw since the opposite faces have same dimensions
S = 2×4×2 + 2×4×8 +2×2×8
S = 112 [tex]in^{2}[/tex]
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Solve: -19<3x-4<5
(Graphs are in the image)
Answer: B (−5 < x < 3)
Steps
−19 < 3x − 4 < 5
−19 < 3x − 4 and 3x − 4 < 5
x > −5 and x < 3
−5 < x < 3
Number Line
−19 < 3x − 4 < 5 : Solution: − 5 < x < 3
[ Interval Notation: (−5, 3)]
If a < u < b then a < u and u < b
−19 < 3x − 4 : x > −5
3x − 4 < 5 : x < 3
Combine the intervals
Merge Overlapping Intervals
And that equals=
−5 < x < 3
I REALLY NEED HELP WITH PLINK A PLUNK
Therefore ,We can see that in equation 1 plunk yields the most lorgs at 30. So the plunk coin is the most valuable.
Describe equation.A mathematical statement known as an equation is created by joining two expressions using the equivalent sign. For instance, 5x - 5 = 25 is an equation. We can find that the variable x has a value of 6 by resolving this equation.
Here,
we need to convert everything to the same unit in order to establish a legitimate comparison when comparing units like inches, feet, and yards. Therefore, we would have to convert everything, for example, to inches. For these five coins, the same concept holds true. Either lorgs, sinds, plunks, harps, or dalts must be used for everything (pick one of those five).
It's equivalent to attempting to change a dollar amount into cents (for example, $1.37 becomes 137 cents). The alternative is to think about it as 1 dollar = 100 cents, 1 quarter = 25 cents, 1 dime = 10 cents, and so on.
The procedures in the various parts below are designed to convert all coinage to lorgs, which will serve as our base unit. Trial and error led me to the conclusion that the lorg coin had the lowest worth, thus I'm striving to obtain everything in lorgs.
The four equations provided are
4 lorgs to a sind
5 dalts x 2 plunks
2 harps from 5 sinds.
3 harps equal 1 plunk.
In that order, I'll refer to them as equations (1) through (4).
One sind equals four logs (1)
5 sinds = 20 lorgs; add 5 to both sides.
2 harps = 20 lorgs; in the equation, swap out "5 sinds" with "2 harps" (3)
1 harp = 10 lorgs; multiply both sides by 2, then write this as an equation (5)
Equation: 1 plunk = 30 lorgs (6)
Each of those equations enables us to determine the lorg value of the coins sind, dalt, harp, and plunk.
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The complete question is : " A nation has five types of coins: sinds, dalts, lorgs, harps, and plunks.1 sind = 4 lorgs ,2 plunks = 5 dalts ,5 sinds = 2 harps , 1 plunk = 3 harps Which coin is the most valuable? a) sindb) daltc) harpd) plunk"
Which choice is equivalent to the expression below?
810
O A. 92
O B. 1
O C. 81
O D.O
Answer:
B) 1
Step-by-step explanation:
any number (except zero) raised to the zero power is equal to 1
WILL MARK BRAINLIEST
M
Answer:
∠BEC = 119°
Step-by-step explanation:
∠BAC = 47° because it is an alternate interior angle to 47°
∠BEA = 180 - 47 - 72 = 61°
∠DEC = ∠BEA because they are vertical angles
∠BEC = ∠DEA because they are vertical angles
∠BEC + ∠DEA + ∠BEA + ∠DEC = 360°
∠BEC + ∠DEA + 61 + 61 = 360°
∠BEC + ∠DEA = 238°
since ∠BEC = ∠DEA, then ∠BEC = 238/2 = 119°
What is the growth factor of the following example? Assume time is measured in the units given.
A diamond mine is depleted by 1% per day.
a. 1.01 per day c. 0.99 per day
b. 0.01 per day d. 99 per day
Please select the best answer from the choices provided.
Answer:
C. 0.99 per day
Step-by-step explanation:
I calculated it logically
How many pairs of potential clients can be randomly chosen from pool or eight candidates
There are 34 ways by which pairs of potential clients can be randomly chosen from pool or eight candidates.
What is combination?We can be able to talk about the combination when the order of the selection is not seen as important as in the case that we have in the question here. We have been told that the pairs are to be chosen randomly.
As such we would have the use of the formula for combination as follows;
C = n!/r!( n - r)!
C = 8!/2!(8 - 2)!
C = 8 * 7 * 6!/2! 61
C = 8 * 7/ 2 * 1
C = 28
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Solve each equation for both variables help please 15 points
Answer:
I hope this helps. Do let me know if you have any doubts and wish me luck I have my maths exams tomorrow!
Can someone Help me please
Answer:
Lower quartile= 4
Middle quartile= 6
Upper quartile=8
Write the following number in correct scientific notation: 0.003538
Ski
Answer:
[tex] = 3.538 \times {10}^{ - 3} [/tex]
What about this one
Answer:
$9,167
Step-by-step explanation:
the driving distance fom pongola to piey retief alongN2is 105km if a taxi driver at an average speed of 80KM /H calculate the time per minutes
Answer:
78.75min
Step-by-step explanation:
t=S/v
105km/80km/hr
=1.3125hr
1.3125hr =78.75min
Is it possible to scan a screenshot?
To be honest i dont know but u can try to find something like that to help u ?