Using the given table of an exponential function, determine the growth/decay factor as well as the rate of increase/decrease. Type your answers in as numbers. Example: Growth Factor: 3.5, Rate of Increase: 2.5. (Do not input your rate of increase as a percent.)
Answers
Answer:
Growth factor is 1.2
Growth rate is 0.2
Step-by-step explanation:
Generally, we can have an exponential function as:
y = a(1 + r)^x
Where a is the initial value (y value when x = 0, which is 10)
r is the growth rate
at x = 2
14.4 = 10(1 + r)^2 •••••(i)
at x = 1
12 = 10(1 + r)^1 •••••(ii)
Divide i by ii
14.4/12 = 1 + r
1.2 = 1 + r
r = 1.2-1
r = 0.2
1 + r = 0.2 + 1 = 1.2
Related Questions
You rent an apartment that costs \$1200$1200 per month during the first year, but the rent is set to go up \$70 $70 per year. What would be the monthly rent during the 6th year of living in the apartment?
Answers
Answer: 1550
Step-by-step explanation:
a_6=1200+(6-1)(70)
=1200+(5)(70)
=1550
in a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 58 and a standard deviation of 10. using the empirical rule (as presented in the book), what is the approximate percentage of daily phone calls numbering between 28 and 88? do not enter the percent symbol.
Answers
The percentage of daily phone calls numbering 28 and 88 = 99.7%
The given Standard Deviation is 10, and the mean is 58
Using the formula
z = (X -Mean) / Standard Deviation
z value corresponding to X = 28 is
z = (28 - 58)/ 10
z = -30/10
z = -3
z value corresponding to X = 88
z = (88 - 58) / 10
z = 3
According to the empirical rule
"Empirical Rule" is also called as the three sigma rule
We have to know
One Standard Deviation of the mean , covers 68% of data
Two Standard Deviation of the mean , covers 95% of data
Three Standard Deviation of the mean , covers 99.7% of data
Therefore, +/- to the third Standard Deviation covers of the items 99.7% of data.
Therefore, the percentage of daily phone calls numbering 28 and 88 = 99.7%
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What is 10.5/17.5 in its simplest form
Answers
Answer:
0.6
Step-by-step explanation:
Answer:
0.6
Step-by-step explanation:
I hope this helps:)
what is the domain of the graph in the picture
Answers
Answer:
(-11,11]
Step-by-step explanation:
the first circle is open so it is the () parentheses, the second circle is closed so it is the [] brackets.
The domain of the following relation: R: {(-4, 8), (8, 10), (5, 4), (1, 6), (5, -9)} is (1 point)
{8, 10, 4, 6, -9}
O {-4, 1, 5, 8}
O {-4, 8, 5, 1,5}
No domain exists
Answers
Explanation: Domain is the x
Please STEP- BY- STEP
Answers
Answer:
B = T - 9C/CA
Step-by-step explanation:
1. Switch the sides C(9+AB) = T
2. Divide both sides by C (get rid of what is least attached) C(9+AB)/C and T/C
3. Simplify the equation 9 + BA = T/C
4. Subtract 9, 9+ BA - 9 = T/C - 9
5. Simplify BA = T/C - 9
6. Divide both sides with A like you did with C
1. The tension t in a spring varies directly with the distance d the spring is stretched. If the tension is 46 pounds when the spring is stretched 4 inches, find the tension when the spring is stretched twice as far.
2. The time t it takes to fill a bucket varies directly with the volume g of the bucket. If it takes 2 minutes to fill a 8-gallon bucket, how long will it take to fill a 5-gallon bucket?
3. The power P in an electric circuit varies directly with the square of the current I. If P = 30 when I = 2, find P when I = 5.
4. The amount of money M a woman makes per week varies directly with the number of hours h she works per week. If she works 28 hours and earns $137, how much does she make if she works 42 hours?
5. The weight F of a body varies inversely with the square of the distance d between the body and the center of the Earth. If a man weighs 250 pounds 4,000 miles from the center of the Earth, how much will he weigh at a distance of 5,000 miles from the center of the Earth.
Answers
9514 1404 393
Answer:
92 pounds 1 minute 15 seconds 187.5 $205.50 160 poundsExplanation:
1. The tension is proportional to distance, so twice the distance will result in twice the tension:
2 × 46 lbs = 92 lbs
__
2. The fill time is proportional to the volume, so 5/8 of the volume will take 5/8 of the time:
(5/8)(2 min) = 10/8 min = 5/4 min = 1 minute 15 seconds
__
3. When the current increases by a factor of 5/2, the power increases by the square of that factor.
(5/2)^2 × 30 = 187.5 . . . power at increased current
__
4. Working 42/28 times as many hours will result in 48/28 times as much pay:
(42/28) × $137 = $205.50
__
5. The new distance is 5000/4000 = 5/4 times the reference distance, so the new weight will be 1/(5/4)^2 = (4/5)^2 = 16/25 times the reference weight.
(16/25)(250 lbs) = 160 lbs
ill give brainly to who get it first, or answer it correctly :]
25/35 in simplest form is _______.
PSA "25/35" is a FRACTION
Answers
Answer:
5/7 is the simplified.
Answer:
5/7
Step-by-step explanation:
Write an equation of the line passing through the point (6,3) that is perpendicular to the line 6x+5y=10
An equation of the line is
y = ?x + ?
Answers
6x+5y=10
5y=-6x+10
y=-6/5x+2
Perpendicular lines have opposite reciprocal slopes
Slope = 5/6
Use point slope formula
Y2-y1=m(x2-x1)
y-3= 5/6(x-6)
y-3=5/6x= -1
y = 5/6x +5
A: Find the mean and standard deviation of the sums you should get when you roll two standard number cubes.
B: Suppose you can replace one number cube with a nonstandard number cube, where any of the numbers 1 through 6 can appear on multiple faces. How can you arrange the numbers on the nonstandard cube so that the mean of the rolls is the same as that of two standard number cubes, but the standard deviation is as large as possible? What is this value?
Answers
Answer:
45
Step-by-step explanation:
how do you find the square root of a whole number which are not perfect square
Answers
Answer: Finding the square root of numbers that aren't perfect squares
Divide: Divide the number that you are finding the squared root for with the number you picked in step 1. Average: Take the average of the number you got in step 2 and the square root. Repeat: Repeat steps 2 and 3 until the number is accurate enough for you.
Step-by-step explanation:
BRAINLESS PLEASE
Question 2
1 pts
A recipe for salad dressing calls for 3 tablespoons of oil for every 2 tablespoons of
vinegar. The line represents the relationship between the amount of oil and the
amount of vinegar needed to make salad dressing according to this recipe. The point
(1, 1.5) is on the line
(1, 1.5)
Give labels for the x-axis and the y-axis as it relates to the situation.
Edit View Insert Format Tools Table
Answers
Answer:
See below :)
Step-by-step explanation:
Hello,
So at the bottom, it says "Give lables or the x-axis and the y-axis as it relates to the situtation"
Labels are the things that show what each part of the graph means. See picture I uploaded after reading my explanation.
We first want to find out how (1, 1.5) relates to 3 tbs oil and 2 tbs vinegar
We want to find the same scale factor between the x and ys.
We can see that 1 is half of 2 and 1.5 is half 3 so we can say that,
Vinegar is the x
Oil is the y
What is 604,000,000 expressed in scientific notation?
A. 6.04 x 109
B. 0.604 109
C. 6.04 x 10-8
D. 6.04 x 108
Answers
Answer:
D would be your answer
Hope this helped
a frequency distribution shows the number of observations for each class (class being a value or a range of values), and a relative frequency distribution shows how close the values are to each other.
Answers
A frequency distribution shows the number of observations for each class (class is a value or a range of values), and a relative frequency distribution shows how close the values are to each other: TRUE
What is a frequency distribution?
In statistics, a frequency distribution is a graph or data set that shows the frequency of occurrence of each possible outcome of a repeatable event observed many times. Election results and test scores listed by percentile are simple examples. A frequency distribution can be represented graphically as a histogram or a pie chart. The number of observations for each class is shown in a frequency distribution (class is a value or a range of values).What is a relative frequency distribution?
A relative frequency distribution, which is related to a probability distribution and is widely used in statistics, shows the proportion of the total number of observations associated with each value or class of values. The relative frequency distribution demonstrates how close the values are to one another.Therefore, the statement "a frequency distribution shows the number of observations for each class (class is a value or a range of values), and a relative frequency distribution shows how close the values are to each other" is TRUE.
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The complete question is given below:
A frequency distribution shows the number of observations for each class (class is a value or a range of values), and a relative frequency distribution shows how close the values are to each other. TRUE or FALSE
The table below provides the values of the function f(x) and g(x) for several values of x.
Which of the following is a solution to the equation f(x)=g(x)?
Answers
Answer:
x= -1
Step-by-step explanation:
I got it right in the midterm. Trust me
Answer:
X= -1
Midterm
Which of the following pairs of values for x and y would justify the claim that the two triangles are congruent?
Answers
Answer:
x=3,y=11 (which is A on Edge)
Step-by-step explanation:
solve for y - 11-4=7
solve for x - 2(3) +3 = 9
P - 4 = -3 + p + 6 - 7
Answers
Answer:
if solving for p there is no values of p that makes the equation true
Step-by-step explanation:
1)
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What value of x makes the statement true?
Subtracting 1.from the product of 5 and x giyes the same value as adding 10 to the product of 3 and x.
Record your answer in the boxes below. Be sure to use the correct place value
223
+
Answers
How many ounces of 50% alcohol solution must be mixed with 80 ounces of a 20% alcohol solution to make a 40% alcohol solution?
Answers
y = total amount after mixing
Note that the amount of alcohol in the 20% solution is 80 (0.2) = 16 oz.
We have 2 unknowns, so we need 2 equations:
first, we can write the equation for the total volume:
y = x + 80
next, apply the percentages to get an equation for the amount of alcohol:
0.4 y = 0.5 x + 16
Finally, solve the pair of equations (in this case, by substitution of the 1st into the second:
0.4 (x + 80) = 0.5x + 16
0.4 x + 32 = 0.5X + 16
rearrange and combine like terms:
0.1x = 16
x = 160
from the 1st equation:
y = 160 + 80 = 240
for what values of x is -1/2x+6>4x-3
Answers
Answer:
x<2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
I don’t get this question at all. Please help meeeeee!
Answers
Answer:7/25
Step-by-step explanation:
sin(A)=BC/AC
=14/50
=7/25
Answer:
7/25 is the answer its a^2 + b^2 + "^2
The volume of a cylinder of height 8 cm is 72π cm3 Find the radius of the cylinder.
Answers
Answer:
3 cm
Step-by-step explanation:
Divide the volume by the height
72π/8 = 9π
Now we have the surface area. The surface area is π[tex]r^{2}[/tex], so we reverse it.
Divide the number by π:
9π/π=9
Now we find the square root
3 x 3 is 9, so 3 is the square root and radius.
Name times when the hands of a clock form
an acute angle, a right angle, and an obtuse
angle.
Answers
Answer:
Right angle- 3:00
Acute- 1:00
Obtuse- 5:00
Step-by-step explanation:
Right angle is 90 degrees, acute is under 90 degrees but greater than zero, and obtuse is greater than 90 degrees but less than 180.
The clock hands form an acute angle between 12:00 and 1:00, right angle at 3:00, 6:00, and 9:00 and form an obtuse angle between 1:00 and 2:00, 2:00 and 3:00, 4:00 and 5:00, 5:00 and 6:00, 7:00 and 8:00, 8:00 and 9:00, 10:00 and 11:00, and 11:00 and 12:00.
When the hands of a clock move, they form different angles between them at different times.
1. Acute Angle:
An acute angle is an angle less than 90 degrees. The clock hands form an acute angle between 12:00 and 1:00.
2. Right Angle:
A right angle is exactly 90 degrees. The clock hands form a right angle at 3:00, 6:00, and 9:00.
3. Obtuse Angle:
An obtuse angle is an angle greater than 90 degrees but less than 180 degrees.
The clock hands form an obtuse angle between 1:00 and 2:00, 2:00 and 3:00, 4:00 and 5:00, 5:00 and 6:00, 7:00 and 8:00, 8:00 and 9:00, 10:00 and 11:00, and 11:00 and 12:00.
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-3-5 1/4find the coordinates of the circumcenter of the triangle with the given vertices. l(3,−6), m(5,−3), n(8,−6)
Answers
The coordinates of the circumcenter of the triangle are (5.5, -5.5).
The vertices of the triangle are A(3, -6), B(5, -3), and C(8, -6).The circumcenter is the point at which the perpendicular bisectors of a triangle's sides connect and are equidistant from its three vertices.The midpoint of AB is ((3+5)/2, [-6+(-3)]/2) = (4, -4.5).The midpoint of BC is ((5+8)/2, [-3+(-6)]/2) = (6.5, -4.5).The slope of AB is (-3-(-6))/(5-3) = 3/2.The slope of the perpendicular bisector of AB is -1/(3/2) = -2/3.The equation of the perpendicular bisector of AB is :(y - (-4.5)) = (-2/3)(x - 4)y + 4.5 = (-2/3)(x - 4)3(y + 4.5) = (-2)(x - 4)3y + 13.5 = -2x + 83y = -2x - 5.5The slope of BC is (-6-(-3))/(8-5) = -3/3 = -1The slope of the perpendicular bisector of BC is -1/(-1) = 1The equation of the perpendicular bisector of BC is :(y - (-4.5)) = (1)(x - 6.5)y + 4.5 = x - 6.5y = x - 11We solve for the point of intersection of the perpendicular bisectors and get (5.5, -5.5).To learn more about circumcenter, visit :
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Answer each question and explain your reasoning. How long is 50% of 60 minutes?
Answers
Answer: 6mins
Step-by-step explanation:
6mins, because 10x6= 60 (or) 60/10=6
Answer:
30 minutes
Step-by-step explanation:
60 divided by 2 which would give you 30 minutes.
PLEASE HELP ASAPPP!!!!
Answers
Answer:
[tex]\sqrt{(\frac{9c^{16} }{d^{4} })^{3} }=\frac{9c^{16} }{d^{4} } \sqrt{\frac{9c^{16}}{d^{4}} } \\\\= \frac{9c^{16} }{d^{4} }.\frac{3c^{8} }{d^{2} }=\frac{27c^{24} }{d^{6} }[/tex]
=> Amelia's answer is incorrect
Step-by-step explanation:
sadie has worked at a cell phone store for nine months. her sales are denoted by the set {5, 7, 8, 21, 15, 18, 5, 13, 14}. which five-number summary represents the data set? {5, 6, 13, 16.5, 21} {5, 14.5, 15, 9, 14} {5, 7, 13, 16, 21} {5, 7, 13, 15, 18}
Answers
{5, 7, 13, 16, 21} five-number summary represents the data set.
Nine months set,= {5, 7, 8, 21, 15, 18, 5, 13, 14}.
={5,7,13,16,21}
The sets {5, 7, 13, 16, 21} represents the data set in the cell phone store for nine months.
What do you mean by Mean?Aside from the mode and median, the mean is one of the measures of central tendency used in statistics. The average of the specified collection of numbers is what is referred to as the mean. It indicates a data set's values are distributed equally. The three most popular methods for determining central tendency are the mean, median, and mode. To find the mean, tally up all the values listed on a datasheet, then divide that total by the total number of values. When all the values are organised in ascending order, the median is the value that falls in the middle of the data. The number in the list that is repeated a maximum number of times is the mode, in contrast.
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i just need someone to explain please
Given m|n, find the value of x.
t
(6x+10)
(5x+28)
Answers
line m || line n
To Find:The value of x.
Alternate Interior Angles:The angles formed when a transversal intersects two parallel lines ( m and n ).
Explanation:6x + 10° = 5x + 28° ( Alternate Interior Angles )
By transposition method, we get
6x - 5x = 28° - 10°
By simplifying the like terms, we get
x = 18°
Answer:The value of x is 18°.
Mrs.Howard had 3 hours of talk on her monthly cell phone plan. She used 40 minutes the first week? How many minutes did Mrs.Howard have left on her cell phone?
Answers
Answer:
A. 140
Step-by-step explanation:
3 hours converts to 180 minutes, so 180-40=140, therefore A is correct.
Explanation: there are 60 minutes in an hour so we know she has at least two full hours left. If we multiply 60 by two and then add the remaining 20 minutes in the first hour from the 40 already used, we get 140. Hope this helped!
A system of linear equations is shown below.
S px +qy = -5
\px – qy = –25
What values of p and q will make the coordinate point (-3,5)
a solution to the system of equations?
A. -5 and 2 B. – 5 and 2
C. 4 and
D. 5 and 2
1
5
16. A-REI.4.12 Given the following system of inequalities, whi
3x –
Answers
Answer: D.5 and 2
because (-3;5) is a solution to the system of equations
[tex]\left \{ {{-3p+5q=-5} \atop {-3p-5q=-25}} \right.\\\\<=>\left \{ {{-3p=-15} \atop {5q=10}} \right.\\\\<=>\left \{ {{p=5} \atop {q=2}} \right.[/tex]
Step-by-step explanation: