The table that represents exponential growth is the second table.
What is exponential growth?Exponential growth simply means a process that increases quantity over time. It occurs when the instantaneous rate of change of a quantity with respect to time is proportional to the quantity itself.
Exponential growth is the pattern of data which shows sharper increases over time. In finance, compounding creates exponential returns and the savings accounts with a compounding interest rate can show exponential growth.
In this case, the second table described represents an exponential function. It has a common ratio of 4, meaning that each y-value is multiplied by 4 to get to the next value. Here, every time the Xs increase by 1, the Ys increase by a multiple of 4.
One of the best examples of exponential growth is observed in bacteria. Here, it takes bacteria roughly an hour to reproduce through prokaryotic fission. This illustrates exponential growth.
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Answer: B
Step-by-step explanation:
see attachment for question
The percentage when Potiphar woke up late is 14.4%.
How to calculate the percentage?From the information, it was stated that Potiphar takes a horse and buggy to work everyday. In order to come on time, he must wake up promptly at 6.30am and then hop on the buggy and that anytime he wakes up late or the horse was in traffic, he will be late.
It was further illustrated based on the information given in the question that he was late 24.4% of the time and the horse was in traffic for 10% of the time.
Therefore, the percentage when he woke up late will be gotten by simply subtracting the percentages that we have above. This will be illustrated below:
= 24.4% - 10%
= 14.4%
Therefore, the percentage when Potiphar woke up late is 14.4%.
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Triangle Congruency Theorems: Edge High School Geometry
Answer is below:
DE ≅ CE given that side AD and side BC are equal and angle ∠BCD and angle ∠ADC are equal. This can be obtained by using triangle congruency theorems.
Prove that side DE and side CE is equal:Triangle congruency theorems required in the question,
SAS triangle congruency theorem - SAS means Side-angle-side. If two sides and the included angle of a triangle is equal to two sides and the included angle of another triangle then the triangles are congruent.AAS triangle congruency theorem - AAS means Angle-angle-side. If two angles and one side of a triangle is equal to two angles and one side of another triangle then the triangles are congruent.
In the question it is given that,
⇒ Side DE and side CE are equal ⇒ AD ≅ BC
⇒ angle ∠BCD and angle ∠ADC are equal ⇒ ∠BCD ≅ ∠ADC
AD ≅ BC (given in the question)∠BCD ≅ ∠ADC (given in the question)DC ≅ DC (since DC is a common side; reflexive property)Therefore we can say that,
ΔADC ≅ ΔBCD according to the SAS triangle congruency theorem
∠DAE ≅ ∠CBE (corresponding parts of congruent triangles are congruent (CPCTC))AD ≅ BC (given in the question)∠DEA ≅ ∠CEB (since they are vertically opposite angles - vertical angles theorem)ΔAED ≅ ΔBEC according to the AAS triangle congruency theorem
Thus DE ≅ CE since corresponding parts of congruent triangles are congruent (CPCTC).
Hence DE ≅ CE given that side AD and side BC are equal and angle ∠BCD and angle ∠ADC are equal.
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If the lengths of two sides of a triangle measure 8 and 13, the length of the third side is:
Answer:
A
Step-by-step explanation:
Triangle side length rule says any two sides added together must be greater than third side .... '6' is the only side length that will work
A customers monthly bill is $50 including taxes. You mom ’ll offer a 30% discount applicable towards the $50 on a monthly basis. The discount started being applied to his account on June 16. Therefore for the month of June the customer will receive a discount on a prorated basis on the monthly bill. The customers billing cycle begins on the first the month. What is the total billed amount for the month of June?
Using proportions, the billed amount for the month of June is:
D. $42.50
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
The discount will be applied only for the second half of the month, from June 16 to June 30, hence instead of a discount of 30%, it will count as a discount of 15%, meaning that 85% of the bill will be paid, hence the amount paid will be of:
A = 0.85 x $50 = $42.50.
Hence option D is correct.
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|x-4| if x>4 please answer
Step-by-step explanation:
if , X>4
---> y= x-4
if , X<4
---> y= -(x-4)
y= 4- X
because , the value of |x-4| is Always positive ....
1. In the process of solving the radical equation, x − 5 =radical 3x −11 , you will need to solve which of the following quadratic equations?
a) x2 −7x+16=0
b) x2 −3x−14=0
c) x2 +13x−36=0
d) x2 −13x + 36 = 0 e)
none of these
In the process of solving the expression x − 5 =radical 3x −11 , you will need to solve the quadratic equation x² - 13x + 36 =0
Solving radical equationsRadical equations are expression that are under the square root. For instance √x is a radical expression.
Given the equation expressed as:
x − 5 = √3x −11
Square both sides to have;
(x-5)² = (√3x −11 )²
This can be further expressed as:
(x-5)² =3x −11
Expand
x² -10x + 25 = 3x - 11
Equate to zero
x² -10x + 25 - 3x +11 = 0
x² -10x - 3x +36 = 0
x² - 13x + 36 =0
Hence in the process of solving the expression x − 5 =radical 3x −11 , you will need to solve the quadratic equation x² - 13x + 36 =0
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need heeeelp please
Step-by-step explanation:
For a rational function, we cannot values in the domain that will make the denominator 0.
So set the denominator =0
[tex] {x}^{2} - 1 = 0[/tex]
[tex] {x}^{2} = 1[/tex]
[tex]x = 1[/tex]
or
[tex]x = - 1[/tex]
So the answer is (-1,1)
Item3 4.28 points eBookReferencesCheck my workCheck My Work button is now enabledItem 3 Yarra Fabrication estimates that its manufacturing overhead will be $2,342,400 in year 1. It further estimates that direct material costs will amount to $1,464,000. During July, Yarra worked on four jobs with actual direct materials costs of $76,000 for Job 0701, $104,000 for Job 0702, $135,000 for Job 0703, and $67,000 for Job 0704. Actual manufacturing overhead costs for the year were $2,480,000. Actual direct materials costs were $1,630,000. Manufacturing overhead is applied to jobs based on direct materials cost using predetermined rates. Required: a. How much overhead was applied to each of the four jobs, 0701, 0702, 0703, and 0704? b. What was the over- or underapplied manufacturing overhead for year 1?
First of all, we would calculate the predetermined overhead rate by using this formula:
Predetermined overhead rate = Manufacturing overhead/Direct material costs
Predetermined overhead rate = $2,342,400/$1,464,000
Predetermined overhead rate = 1.6 per DM $.
Next, we would calculate the overhead applied by using this formula:
Overhead applied = Job × DM cost
For job 0701, we have:
Overhead applied = 76,000 × 1.6
Overhead applied = $121,600.
For job 0702, we have:
Overhead applied = 104,000 × 1.6
Overhead applied = $166,400.
For job 0703, we have:
Overhead applied = 135,000 × 1.6
Overhead applied = $216,000.
For job 0704, we have:
Overhead applied = 67,000 × 1.6
Overhead applied = $107,200.
Part B.For the overapplied manufacturing overhead for year 1:
Less applied overhead = $1,630,000 × 1.6
Less applied overhead = $2,608,000.
Overapplied manufacturing overhead = Actual overhead cost - Less applied overhead
Overapplied manufacturing overhead = $2,480,000 - $2,608,000
Overapplied manufacturing overhead = $128,000.
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AMERICAN AIRLINES HAS A POLICY OF BOOKING AS MANY AS 15 PEOPLE ON AN AIRPLANE THAT CAN SEAT ONLY 14. (PAST STUDIES HAVE REVEALED THAT ONLY
85% OF THE BOOKED PASSENGERS ACTUALLY ARRIVE FOR THE FLIGHTS.) FIND THE PROBABILITY THAT IF AMERICAN AIRLINES BOOKS 15 PEOPLE, NOT ENOUGH SEATS
WILL BE AVAILABLE
Using the binomial distribution, there is a 0.0874 = 8.74% probability that not enough seats will be available.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.For this problem, the values of the parameters are given by:
n = 15, p = 0.85.
The probability that not enough seats will be available is P(X = 15), as the only outcome in which not enough seats will be available is when all 15 people who bought the ticket show up, hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 15) = C_{15,15}.(0.85)^{15}.(0.15)^{0} = 0.0874[/tex]
0.0874 = 8.74% probability that not enough seats will be available.
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Which statement is true?
A) All trapezoids are similar.
B) All rectangles are squares.
C) All squares are parallelograms.
D) All equilateral triangles are congruent.
A local anime fan club surveyed 81 of its members regarding their viewing habits last weekend, and the following information was obtained: 40 members watched an episode of Naruto, 54 watched an episode of Death Note, 40 watched an episode of Inuyasha, 32 watched both Naruto and Inuyasha, 12 watched Naruto and Inuyasha but not Death Note, 25 watched both Death Note and Inuyasha, and 23 watched only Death Note. a. How many of the club members watched exactly one of the shows? b. How many of the club members watched all three shows? c. How many of the club members watched none of the three shows?
The solutions for the Questions are
a) Given that, the minimum requirement is 58 out of 75.
a=0.7733
b) For 16 out of a total of 75
b=0.2133
c) For 11 out of a total of 75
c =0.1466
How many of the club members watched all three shows? c. How many of the club members watched none of the three shows?Generally, we need to determine the total number of students who exhibit each behavior by seeing the habits and assets contained inside a Venn diagram.
Therefore, let's assume that:
- In Set A, I watched one of the Naruto episodes.
Set B: Observed a new segment of the anime series Death Note.
Hence, 23 of them have seen an episode of Death as well as an episode of Naruto, which means that
(A intercept B) equals 23.
In addition to this, it is a given that 42 has seen one episode of Death Note.
This indicates that B is equal to 42.
This pertains to us:
[tex]B = (B-A)+(A \cap B)[/tex]
In this case, members of B through A are individuals who have only viewed Death Note. So
42=(B−A)+23
(B-A) = 11
Finally, It is a known fact that 39 of the members have seen at least one episode of Naruto.
Therefore, the value of A is 39.
A=(A−B)+(A intercept B)
39=(A−B)+23
(A−B)= 16
(A union B)= 42+ 39- 23
(A union B)=58
In conclusion, the total number of pupils is:
58 with at least one and 17 with none, for a total of 75
a) Given that, the minimum requirement is 58 out of 75.
a=58*100/75
a=0.7733
b) For 16 out of a total of 75
b= 16/75*100
b=0.2133
c) For 11 out of a total of 75
c= 11/75*100
c =0.1466
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Find a formula for the nth term
of the arithmetic sequence.
First term -2
Common difference 8
an = [? ]n + []
Nationally, patients who go to the emergency room wait an average of 7 hours to be admitted into the hospital. Do patients at rural hospitals have a lower waiting time? The 13 randomly selected patients who went to the emergency room at rural hospitals waited an average of 6.3 hours to be admitted into the hospital. The standard deviation for these 13 patients was 1.3 hours. What can be concluded at the the
α
= 0.01 level of significance level of significance?
For this study, we should use
Select an answer
The null and alternative hypotheses would be:
H
0
:
?
Select an answer
H
1
:
?
Select an answer
The test statistic
?
=
(please show your answer to 3 decimal places.)
The p-value =
(Please show your answer to 4 decimal places.)
The p-value is
?
α
Based on this, we should
Select an answer
the null hypothesis.
Thus, the final conclusion is that ...
The data suggest the population mean is not significantly lower than 7 at
α
= 0.01, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is equal to 7 hours.
The data suggest the populaton mean is significantly lower than 7 at
α
= 0.01, so there is statistically significant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is lower than 7 hours.
The data suggest that the population mean awaiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is not significantly lower than 7 hours at
α
= 0.01, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is lower than 7 hours.
A null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (H₁) and it asserts that two (2) possibilities are the same.
How to calculate value of the test statistic?The test statistics can be calculated by using this formula:
[tex]t=\frac{x\;-\;u}{\frac{\delta}{\sqrt{n} } }[/tex]
Where:
x is the sample mean.u is the mean.is the standard deviation.n is the number of hours.For this study, we should use t-test and the null and alternative hypotheses would be given by:
H₀: μ = 7
H₁: μ < 7
[tex]t=\frac{6.3\;-\;7}{\frac{1.3}{\sqrt{13} } }\\\\t=\frac{-0.7}{\frac{1.3}{3.6056 } }[/tex]
t = -0.7/0.3606
t = -1.941.
For the p-value, we have:
P-value = P(t < -1.9412)
P-value = 0.0381.
Therefore, the p-value (0.0381) is greater than α = 0.01. Based on this, we should fail to reject the null hypothesis.
Thus, the final conclusion is that the data suggest the population mean is not significantly lower than 7 at α = 0.01, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is equal to 7 hours.
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ASAP HELP ME WITH THIS QUESTIONN
Answer:
inductive reasoning
Step-by-step explanation:
At the beginning of 2000 Randall's house was worth 234 thousand dollars and Damien's house was worth 110 thousand dollars. At the beginning of 2003, Randall's house was worth 176 thousand dollars and Damien's house was worth 154 thousand dollars. Assume that the values of both houses vary at an exponential rate.
Write a function [tex]f[/tex] ,that determines the value of Randall's house (in thousands of dollars) in terms of the number of years [tex]t[/tex] since the beginning of 2000.
Write a function [tex]g[/tex] that determines the value of Damien's house (in thousands of dollars) in terms of the number of years [tex]t[/tex] since the beginning of 2000.
How many years after the beginning of 2000 will Randall's and Damien's house have the same value?
Using linear functions, we have that:
Randall's value is: f(t) = -19t + 234.Damien's value is: g(t) = 14.67t + 110They will have the same value in 3.68 years since the start of 2000.A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.We consider the initial values as the y-intercepts. Randall's house decayed 58 thousand dollars in 3 years, hence the slope is:
m = -58/3 = -19.
Hence the function for the value, in thousands of dollars, is:
f(t) = -19t + 234.
Damien's initial value was of 110, and it increased 44 thousand in 3 years, hence the slope is:
m = 44/3 = 14.67
Hence the function for the value of Damien's house, in thousands of dollars, in t years after 2003, is:
g(t) = 14.67t + 110
They will have the same value when:
f(t) = g(t)
-19t + 234 = 14.67t + 110
33.67t = 124
t = 124/33.67
t = 3.68
They will have the same value in 3.68 years since the start of 2000.
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Find the surface area of the figure. Round to the nearest hundredth of a unit. Let a = 1.9,b = 0.1, and c = 2
Answer:
I believe its 20.8, but I may be wrong
Step-by-step explanation:
Heyy how do I solve this
Answer:
1200 centimeters
Step-by-step explanation:
Hello!
1meter=100centimeters
12meter = ?
[tex]thus \: \frac{12m \times 100cm}{1m} = 1200cm[/tex]
Answer:
1200cm
Step-by-step explanation:
1m=100cm
12m=xcm
by multiplying cris cross
x=12*100
x=1200cm
12m=1200cm
Calculus help please, will give brainiest
The most convenient way to capture [tex]D[/tex] is with the parameterization
[tex]D = \left\{(x,y) \mid -1 \le y \le 3 \text{ and } -\dfrac{y+1}2 \le x \le y+1\right\}[/tex]
so we only need one iterated integral.
[tex]\displaystyle \iint_D e^{x-y} \, dA = \int_{-1}^3 \int_{-(y+1)/2}^{y+1} e^{x-y} \, dx \, dy[/tex]
Compute the integral with respect to [tex]x[/tex].
[tex]\displaystyle \int_{-(y+1)/2}^{y+1} e^{x-y} \, dx = e^{x-y} \bigg|_{x=-(y+1)/2}^{x=y+1} = e^{(y+1)-y} - e^{-(y+1)/2-y} = e - e^{-(3y+1)/2}[/tex]
Compute the remaining integral.
[tex]\displaystyle \int_{-1}^3 \left(e - e^{-(3y+1)/2}\right) \, dy = \left(ey + \frac23 e^{-(3y+1)/2}\right)\bigg|_{y=-1}^{y=3} \\\\ ~~~~~~~~ = \left(3e + \frac23 e^{-(9+1)/2}\right) - \left(-e + \frac23 e^{-(-3+1)/2}\right) \\\\ ~~~~~~~~ = \boxed{\frac{10e}3 + \frac2{3e^5}}[/tex]
If we had chosen the opposite order of variables, we would have used
[tex]D = \left\{(x,y) \mid -2 \le x \le 4 \text{ and } \max\left(-2x-1,x-1\right)\le y\le3\right\}[/tex]
where
[tex]\max(-2x-1, x-1) = \begin{cases} -2x-1 & \text{when } x<0 \\ x-1 & \text{when } x\ge0\end{cases}[/tex]
so we would have needed two iterated integrals,
[tex]\displaystyle \iint_D e^{x-y} \, dA = \int_{-2}^0 \int_{-2x-1}^3 e^{x-y} \, dy \, dx + \int_0^4 \int_{x-1}^3 e^{x-y} \, dy \, dx[/tex]
For what value of x is the rational expression below undefined?
3x+15/6-x
Let the function be (3x+15)/(6-x) then the value of x exists at -5.
What is the value of x?Given: Rational Expression (3x+15)/(6-x)
To find the value of x when given a rational expression equivalent to 0.
To estimate the value of x, convey the variable to the left side and convey all the remaining values to the right side. Simplify the values to estimate the result.
Consider, (3x+15)/(6-x) = 0
3x + 15 = 0(6-x)
3x + 15 = 0
Subtract 15 from both sides of the equation, e get
3x + 15 - 15 = 0 - 15
simplifying the above equation, we get
3x = 0 - 15
3x = -15
Divide both sides by 3, then we get
x/3 = -15/3
x = -5
Therefore, the value of x exists at -5.
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Desperately need help and an explanation so I can do it on my own later.
Step-by-step explanation:
since the sumation of f(x) of a probability is 1
thw probability to win is o.5 and to lose is o.5 so expected value is xf(x
your expected value will b 0.5 multiply by 5 thats is 2.5 thats your expected gain
on a recent trip, the smiths drove at an average speed of 55 miles per hour. if the trip took 5 1/2 hours, how many miles did they drive?
Answer:
302.5
Step-by-step explanation:
5 1/2 = 5.5
55 miles per hour * 5.5 hours
55*5.5
302.5
Consider the following figure:
Answer:
x=90
y=148
Step-by-step explanation:
Since we know a line is 180 degrees, and we know that angle Q is 90, x must be a 90-degree angle as well.
With our given information we can add up the two given angles in the triangle which are 90 and 58
90+58=148
To find what R is, we must subtract 148 from 180 because all the angles in a triangle sum up to 180.
180-148=32
Now that we know that R is 32, because we know that a line is 180 degrees, we can subtract 32 from 180 to get our final answer for y as 148.
180-32=148
The functions fand g are defined as follows. f(x) = 3x-1 g(x)=3x³ +5 Find f(-6) and g (-4). Simplify your answers as much as possible. ƒ(-6) = g (-4) =
Answer:
f(-6)= -19 and g(-4)= -187
The centre of the stained glass window is in the shape of a regular polygon. What are the measures of the interior angle of the green triangle?
CAN SOMEONE EXPLAIN WITH REASONING STEP BY STEP Solution so I can grasp the concept easily. please explain with a sol
Answer:
67.5 - 67.5 - 45 °
Step-by-step explanation:
Sum of INTERIOR angles of a polygon
(n-2) * 180 <====ya just have to remember/know this !
n is the number of sides n = 8 in this case
(8-2)*180 = 1080 ° < === this is the SUM of the 8 interior angles
EACH interior angle is then 1080 / 8 = 135 °
you can see from the picture that each of the two outside angles of the green triangle are 1/2 of this = 67.5° each
so the triangle measurements are
67.5 - 67.5 - 45 ( they have to sum to 180 for triangle)
please help!!! the photo below
Answer:its (-2,1), (-6,-15)
Step-by-step explanation:
Find the length of the a of a right triangle b=21.5 inches and the hypotenuse c =31.9.use the calculator to estimate the square root to one decimal place
The length of the leg a is approximately?
Answer:
Step-by-step explanation:
a² + b² = c²
a² + (21.5)² = (31.9)²
a² + 462.25 = 1017.61
a² = 555.36
a = 23.6
Find one value of x for which h(x)=4 and find h (-2)
the solutions are:
h(x) = 4 for x = 0h(-2) = 2How to find the value of x for which h(x) = 4?The only information of h(x) that we have is the given graph.
To find the value of x, we need to go to the vertical axis and find y = 4, then we move horizontally to the left until we meet the curve.
That intersection will give the value of x for which h(x) = 4.
Doing that, we conclude that h(x) = 4 when x = 0 (on the vertical axis).
Now we want to find h(-2), and we can do that using the graph.
By finding x = -2 on the horizontal axis and then moving up until we intercept the graph, we can see that:
h(-2) = 2
Concluding, the solutions are:
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QUESTION IS DOW BELOW 5 POINTS EACH PLEASE HELP PLEASE HELP PLEASE HELP
WILL GIVE BRAINLIEST FOR ACCURATE ANWSER
The Area of the shaded region of the circle = 60.75π m²
The Length of arc ADB = ∅/360 × 2πr = 13.5π m.
What is the Area of a Shaded Region?The area of the shaded region in the circle = area of the sector of a circle = ∅/360 × πr², where r is the radius of the circle and the central angle is ∅.
What is the Length of an Arc of a Circle?The length of the arc on a circle = ∅/360 × 2πr, where r is the radius of the circle and the central angle is ∅.
Given the following:
Central angle (∅) = 360 - 90 = 270°
Radius (r) = 9 m.
Area of the shaded region of the circle = ∅/360 × πr² = 270/360 × π(9²)
Area of the shaded region of the circle = 270/360 × π81
Area of the shaded region of the circle = 60.75π m²
Length of arc ADB = ∅/360 × 2πr = 270/360 × 2π(9)
Length of arc ADB = ∅/360 × 2πr = 270/360 × 18π
Length of arc ADB = ∅/360 × 2πr = 13.5π m.
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A garden table and a bench cost 697 combined. The garden table costs 53 less than the bench. What is the cost of the bench?
First, I will subtract 53 from 697.
697 - 53 = 644
Next, I will divide the total by 2.
644 / 2 = 322.
This means the cost of the garden table is 322.
I will add 53 back to the total.
322 + 53 = 375.
The cost of the bench is $375.
Match the matrix operations with the resulting matrices. Image Attached.
Answer:
1. 2A + 3A
2. 2A - B
3. 2A
4. 2(A-B)
Step-by-step explanation:
When multiplying matrix by a number you just multiply each number in the matrix by whatever you are multiplying. When adding 2 matrices you just add the corresponding number in each matrix. Ex: You add the top left number to the top left number. The same goes with subtraction.
Answer:
Behold!
Step-by-step explanation:
