The form of the exponential function is
\(f(x)=a(b)^x\)a is the initial amount
b is the growth/decay factor
If b > 1, then it is a growth factor
If b < 1, then it is a decay factor
Since the exponential function is
\(f(t)=1100(0.9945)^t\)Then
a = 1100
b = 0.9945
Since 0.9945 < 1, then
The factor is decay
To change it to percent multiply it by 100
0.9945 x 100 = 99.45%
The rate of decrease = 100% - 99.45% = 0.55%
The function is decay exponentially with a factor of 0.55% every week
yo if someone helps me with this ill give u brainliest
Answer:
Step-by-step explanation:
a 15090
b 4255
c dairy heifers and bulls
d 9975/15090
e how many steers there are compared to bulls
Answer:
a) 15,090, addition
b) 4,255, subtraction
c) bulls and beef heifers for breeding
d) 5115/15,090 or 15/90
e) How many more calves are there than steers?
3930
Step-by-step explanation:
I need help please the question is in the picture.
Answer:
5x+12=42
x=6
Step-by-step explanation:
8+x+x+2+3x+2=42
5x+12=42
5x=42-12
5x=30
x=6
Two rectangles of the same shape have areas of 676 and 3,457 square centimetres. If the shorter side of the larger rectangle is 41 centimetres, what are the dimensions of the smaller one?
The dimensions of the smaller rectangle are 13 centimeters by 52 centimeters.
Let's assume the dimensions of the smaller rectangle are length L and width W (in centimeters).
We know that the area of the smaller rectangle is 676 square centimeters:
L * W = 676 ----(1)
We also know that the larger rectangle has a shorter side of 41 centimeters. Let's say the corresponding longer side of the larger rectangle is H centimeters.
The area of the larger rectangle is 3457 square centimeters:
41 * H = 3457 ----(2)
Our current set of equations contains two unknowns. In order to get the smaller rectangle's dimensions, we can simultaneously solve these equations.
In order to find H, we can use equation (2):
H = 3457 / 41
H ≈ 84.22
Now we can substitute this value of H into equation (1):
L * W = 676
We need to find the dimensions (L and W) that multiply to give 676. We can start by looking for factors of 676.
Factors of 676: 1, 2, 4, 13, 26, 52, 169, 338, 676
By trial and error, we can see that the factors that give a close match to the dimensions of the larger rectangle (41 and 84.22) are 13 and 52:
L = 13
W = 52
Therefore, the smaller rectangle has measurements of 13 by 52 centimetres.
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Which expression has a value of 36?
third option - 3/4 x 48 = 36
Solve the following problems using the Polygon Interior Angle Sum Theorem and Polygon Exterior Angle Sum Theorem.
Sum of the measures of the interior angles of the regular nonagon
Measure of each interior angle of the regular nonagon
Measure of each exterior angle of the regular nonagon
a) The sum of the measures of the interior angles of the regular nonagon is given by S₉ = 1260°
b) The measure of each interior angle of the regular nonagon is a = 140°
c) The measure of each exterior angle of the regular nonagon is b = 40°
Given data ,
Sum of the measures of the interior angles of a regular nonagon:
The Polygon Interior Angle Sum Theorem states that the sum of the measures of the interior angles of a polygon with n sides is given by the formula:
Sum of interior angles = (n - 2) * 180°
For a nonagon, which has 9 sides, we can plug in n = 9 into the formula:
Sum of interior angles = (9 - 2) * 180
Sum of interior angles = 7 * 180
Sum of interior angles = 1260°
So, the sum of the measures of the interior angles of a regular nonagon is 1260°
Measure of each interior angle of a regular nonagon:
Since a regular nonagon has 9 sides, we can divide the sum of the interior angles (which we calculated as 1260 degrees) by the number of sides to find the measure of each interior angle:
Measure of each interior angle = Sum of interior angles / Number of sides
Measure of each interior angle = 1260 / 9
Measure of each interior angle = 140°
So, the measure of each interior angle of a regular nonagon is 140°
Measure of each exterior angle of a regular nonagon:
The Polygon Exterior Angle Sum Theorem states that the sum of the measures of the exterior angles of a polygon with n sides is always 360°
Since a regular nonagon has 9 sides, we can divide 360 degrees by the number of sides to find the measure of each exterior angle:
Measure of each exterior angle = 360 / Number of sides
Measure of each exterior angle = 360 / 9
Measure of each exterior angle = 40°
Hence , the measure of each exterior angle of a regular nonagon is 40°
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HELPP!!
Ryan collects rainwater in a barrel for his garden. The barrel is filled with 15 gallons of water. Ryan used 6.8 gallons to water his garden in June and 5 and one-eighth gallons in July. How much water is left in the barrel?
1.) 3.075 gallons
2.) 5.125 gallons
3.) 5.178 gallons
4.) 16.675 gallons
Subtracting the initial amount of water from the amount used, the remaining amount of water is given by:
1.) 3.075 gallons.
How to find the remaining amount of water in the barrel?
To find the remaining amount of water in the barrel, we have to subtract the initial amount by the amount used.
We have that:
The initial amount was of 15 gallons.The amount used was of: 6.8 + 5 + 1/8(relative to the one-eight) = 11.925 gallons.Hence the remaining amount is:
15 - 11.925 = 3.075 gallons.
Which means that option 1 is correct.
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Answer: 3.075 gallons
Step-by-step explanation:
What is the value of 13.997x4 to 2 decimal places ?
Answer:
Hence the answer to 2 decimal places becomes 55.99
Step-by-step explanation:
SOLUTION
We want to solve:
13.997×4 to 2 decimal places
Now:
13.997×4=55.988
Now, 55.988 to decimal places, after the decimal point, we count the first two numbers, which are 9 and then 8. Then check the number after the 8, is it up to 5? Yes, it is, because it is 8. Now change the 8 to 1 and add it to that second number after the decimal point, this gives nine.
Hence the answer to 2 decimal places becomes 55.99
one number is 2 more than another. the difference between their square is 36. what are the numbers
An electrician wants to know whether batteries made by two manufacturers have
significantly different voltages. The voltage of 108 batteries from each manufacturer
were measured. The population standard deviations of the voltage for each
manufacturer are known. The results are summarized in the following table.
Manufacturer Sample mean voltage (millivolts) Population standard deviat
A
B
179
178
1
What type of hypothesis test should be performed? Select
What is the test statistic? Ex: 0.12
Does sufficient evidence exist to support the claim that the voltage of the batteries made
by the two manufacturers is different at the a= 0.05 significance level?
The appropriate hypothesis test is a two-sample t-test for independent samples.
The appropriate hypothesis test in this scenario is a two-sample t-test for independent samples. Since the population standard deviations are known, we can use the Z-test instead.
The test statistic can be calculated using the formula:
t = (x1 - x2) / sqrt((s1^2 / n1) + (s2^2 / n2))
Where:
x1 and x2 are the sample means for Manufacturer A and Manufacturer B, respectively.
s1 and s2 are the population standard deviations for Manufacturer A and Manufacturer B, respectively.
n1 and n2 are the sample sizes for Manufacturer A and Manufacturer B, respectively.
Plugging in the given values:
x1 = 179, x2 = 178, s1 = 1, s2 = 5, n1 = n2 = 108
t = (179 - 178) / sqrt((1^2 / 108) + (5^2 / 108))
t = 1 / sqrt(0.00926 + 0.0463)
t ≈ 1 / sqrt(0.05556)
t ≈ 1 / 0.2357
t ≈ 4.241
To determine whether there is sufficient evidence to support the claim that the voltage of the batteries made by the two manufacturers is different, we compare the calculated t-value to the critical value from the t-distribution at the desired significance level (0.05).
The decision depends on the degrees of freedom for the test, which is calculated as (n1 + n2 - 2) = (108 + 108 - 2) = 214.
Using a t-table or statistical software, we find that the critical value for a two-tailed test with a significance level of 0.05 and 214 degrees of freedom is approximately ±1.972.
Since the calculated t-value of 4.241 exceeds the critical value of 1.972, we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the voltage of the batteries made by the two manufacturers is different at the 0.05 significance level.
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Find the missing side lengths
Answer:
y=9 and x=9*sqrt(2)
Step-by-step explanation:
tan(45)=9/y, 1=9/y, y=9
sin(45)=9/x, 1/sqrt(2)=9/x, x=9*sqrt(2)
ITS DO TODAY HELPPPPPPP
The difference in the addition of both fractions is that they have different lowest common multiples.
How to solve Fraction Problems?We want to add the fraction expression given as:
¹/₂ + ¹/₄
Taking the Lowest common multiple of 8, we have:
(4 + 2)/8 = 6/8
However, for the second fraction expression, we have:
¹/₂ + ¹/₃
Taking the lowest common multiple which is 6, we have:
(3 + 2)/6 = 5/6
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which of the graphs are not functions? HEPP ME PLSSS!!
Answer:
Option II: I and III are not functions
Step-by-step explanation:
A function is a relation in which no two ordered pairs have the same input (or x-values) and different outputs (y-values). In other words, a function can only take on one output for each input.
The Vertical Line Test (VLT)allows us to know whether or not a graph is actually a function. If a vertical line intersects the graph in all places at exactly one point, then the relation is a function.
To use the VLT, imagine dragging a ruler held vertically across the graph from left to right. If the graph is that of a function, the edge of the ruler would hit the graph only once for every x -value. If you do this for the given graphs, every vertical line intersects the graph in at most one point represents a function. It only takes one input value to associate with more than one output value to be invalid as a function.
As you can see in the edited screenshot, the vertical lines drawn on graph 1 crosses the graph more than once, that is why it is not a function. The 2nd graph is a function, because each vertical line crosses the graph only once.
The 3rd graph is definitely not a function because the vertical line crosses the graph more than once.
Therefore, the correct answer is option II: I and III
Please mark my answers as the Brainliest, if you find this helpful :)
9(6x-8)+10x the instructions just say simplify
Answer:
64x -72
Step-by-step explanation:
9(6x-8)+10x = (multiply by 9)
54x -72 +10x
sum similar terms
64x -72
Answer:
64x-72
Step-by-step explanation:
Trust me lol.
Find the real solution.
Answer:
i think it should be no solution
Answer:
X=5/2
Step-by-step explanation:
Multiply both sides by 12 since it is the lcm
\( 4 \times 2x - 6x = 5 \\ 2x = 5 \\ x = \frac{5}{2} \)
You are given the task of building detention ponds to remove settleable solids from a small stream prior to discharge into a lake. The ponds must be 2 m deep, the flow in the stream is 20 cfs, the solids settle at a rate of 0.2 m/day, and you must achieve a steady-state removal of 65% of the solids.
a. Determine the size of a single CSTR to achieve the desired removal.
b. Determine the sizes of a pair of identical CSTRs in series needed to achieve the desired removal.
Answer:
a) 513775.5 m^3 ≈ 51.38 * 10^4 m^3
b) 256887.75 m^3 ≈ 25.69 * 10^4 m^3
Step-by-step explanation:
Given data :
Depth of pond = 2m
flow in the stream = 20 cfs = 4.8931 * 10^4 m^3/day
settling rate = 0.2 m/day
rate constant ( k )= 0.2 / 2 = 0.1 / day
steady-state removal of the solids required = 65%
A) determine size of a single CSTR to achieve 65%
First determine the time required to achieve this using the relation below
C = \(c_{o} e^{-kt}\)
∴ t = \(\frac{-1}{k}* ln( 1 - 0.65 )\)
= ( -1 / 0.1 ) * (- 1.05 ) = 10.5 day
The size of a single CSTR required = ( 4.8931*10^4 ) * (10.5 ) = 513775.5 m^3
B) determine the sizes of a pair of identical CSTRs in series needed to achieve the desired removal
sizes of a pair = 513775.5 / 2 = 256887.75 m^3
explanation process with problem = branliest and more points
Answer:
B
Step-by-step explanation:
So, this is a inequality.
The inequality is 2x+2 >= 10
Lets completly ignore the graphs for the moment, and just solve this inequawlity as we would like a normal equation.
So first, subtract 2 from both sides:
2x+2>=10
=
2x>=8
Now, divide by 2 to get x alone:
2x>=8
=
x>=4
So, we now know that x is greater than or equal to 4.
In a normal inequality, we would have to remember the following:
When it is greater than/less than or equal to the dot that marks the inequalities value is filled in.
When it is greater than/less than the dot that marks the inequalities value is open, kind of like a "o".
Also, recall that the dark black line that goes either left or right of the dot also varies:
If x is less than the dot that marks the inequalities value, then the dark black line with go left.
If x is greater than the dot that marks the inequalities value, then the dark black lne will go right.
So for our x>=4, since there is a equals sign, its a filled in dot.
So four our x>=4, since there is a greater than sign, the dakr black lines goes to the right.
Now, lets look at the graphs
There is only one that has the filled in dot on 4, and a black line that goes to the right. Thats B
So B is your answer!
Hope this helps! :)
Answer:
B
Step-by-step explanation:
In order to graph we must first isolate the variable.
We can do this by using inverse operations
2x + 2 ≥ 10
To get rid of the + 2 we subtract 2 because the expression is adding 2 and the inverse of addition is subtraction. But remember whatever we do to one side we have to do to the other so we subtract 2 from each side
2 - 2 cancels out
10 - 2 = 8
we now have 2x ≥ 8
Now we want to get rid of the 2 on "2x". 2x is the same as 2 times x and the inverse of multiplication is division, so we divide each side by 2
2x / 2 = x
8 / 2 = 4
we're left with x ≥ 4
To graph we place a point on "4" and fill in the point ( when the inequality sign is ≤ or ≥ we fill in the point )
When the inequality sign is facing the variable ( x ) the line will be going in the direction of right.
Hence, the answer is B
You pick a marble, roll a die, and pick a card. How many outcomes are possible?
The total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.
How to determine How many outcomes are possibleTo determine the number of possible outcomes, we need to consider the number of outcomes for each event and then multiply them together.
1. Picking a marble: Let's assume there are n marbles to choose from. If there are n marbles, then the number of outcomes for this event is n.
2. Rolling a die: A standard die has 6 sides numbered 1 to 6. Therefore, the number of outcomes for this event is 6.
3. Picking a card: A standard deck of cards has 52 cards. Hence, the number of outcomes for this event is 52.
To find the total number of possible outcomes, we multiply the number of outcomes for each event together:
Total number of outcomes = (number of outcomes for picking a marble) × (number of outcomes for rolling a die) × (number of outcomes for picking a card)
Total number of outcomes = n × 6 × 52
Therefore, the total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.
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The weights of bags of chips are normally distributed with a mean of 180 grams and a standard deviation of 4 grams.
What percent of the bags of chips weigh less than 176 grams?
2.5%
16%
32%
34%
The percent of the bags of chips weigh less than 176 grams is b 16%
What percent of the bags of chips weigh less than 176 grams?From the question, we have the following parameters that can be used in our computation:
Mean = 180
Standard deviation = 4
Bags of chips weigh less than 176 grams
This means that
x = 176
So, the z-score is
z = (176 - 180)/4
Evaluate
z = -1
The percent of the bags of chips weigh less than 176 grams is represented as
P = P(z < -1)
Using a graphing calculator, we have
Percentage = 0.15866
So, we have
Percentage = 16%
Hence , the percentage is 16%
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Some friends decided to equally split the cost of gas on their trip. The expression 3g/4 represents how much money each person had to pay in dollars for g gallons of gas. What does the expression 3g in the numerator represent?
A the cost per person
B the number of people splitting the cost of the gas
C the total cost of the gas before it was split among the friends
D the cost per gallon of gas
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
Answer: The total cost of the gas before it was split among the friends.
Explanation: If they split it equally, they divide. 3g is divided by 4 so you know that there are 4 friends/people.
Since they are splitting the [total] amount of gas for 4 people, 3g must be the total cost of the gas.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
Answer:
c
Step-by-step explanation:
i took the quiz
True or False? No matter how the colonial government was setup, England had the ultimate say within the colonies
Answer:
true
Step-by-step explanation:
England claimed the colonies, so they ruled over them.
what is the BEST estimate of the domain of thw graphed circle?
The domain of a function is the set of all possible x-values. From the graph, x-values goes from 2 to 9, then the domain is [2, 9] or 2 ≤ x ≤ 9.
A square has a side length of 19 in. What is the area?
Answer:
A=a2=192=361in²
Step-by-step explanation:
Given this equation...
4x - 1 6
--------- = -----
3x + 7 5
What is the value of x in this
proportion?
Answer:
x=91
Step-by-step explanation:
Follow the steps in the image.
add 16 to both sides
subtract 3 from both sides
divide by 1x
Plug answer back into equation
-Hope this helped
Liam is making dinner for the family he has five packages of chicken he uses 1/4 of the packages how many total packages of chicken does lamb use
Answer:
He uses 1.25 packages.
Step-by-step explanation:
5 x 1/4 = 1.25
Here is another question DUE SOON PLEASE ASAP
Question 5(Multiple Choice Worth 1 points)
(08.07 MC)
The table describes the quadratic function p(x).
x p(x)
−1 10
0 1
1 −2
2 1
3 10
4 25
5 46
What is the equation of p(x) in vertex form?
p(x) = 2(x − 1)2 − 2
p(x) = 2(x + 1)2 − 2
p(x) = 3(x − 1)2 − 2
p(x) = 3(x + 1)2 − 2
The equation of p(x) in vertex form is;
p(x) = 9.67(x + 1.04)² - 10.25
The closest answer choice is:
p(x) = 3(x - 1)² - 2, which is not correct.
What is vertex?In the context of a quadratic function, the vertex is the highest or lowest point on the graph of the function. It is the point where the parabola changes direction. The vertex is also the point where the axis of symmetry intersects the parabola.
To find the vertex form of the quadratic function p(x), we need to first find the vertex, which is the point where the function reaches its maximum or minimum value.
To find the vertex, we can use the formula:
x = -b/2a, where a is the coefficient of the x² term, b is the coefficient of the x term, and c is the constant term.
Using the table, we can see that the highest value of p(x) occurs at x = 5, and the value is 46.
We can then use the formula to find the vertex:
x = -b/2a = -5/2a
Using the values from the table, we can set up two equations:
46 = a(5)² + b(5) + c
1 = a(0)² + b(0) + c
Simplifying the second equation, we get:
1 = c
Substituting c = 1 into the first equation and solving for a and b, we get:
46 = 25a + 5b + 1
-20 = 5a + b
Solving for b, we get:
b = -20 - 5a
Substituting b = -20 - 5a into the first equation and solving for a, we get:
46 = 25a + 5(-20 - 5a) + 1
46 = 15a - 99
145 = 15a
a = 9.67
Substituting a = 9.67 and c = 1 into b = -20 - 5a, we get:
b = -20 - 5(9.67) = -71.35
Therefore, the equation of p(x) in vertex form is:
p(x) = 9.67(x - 5)² + 1
Simplifying, we get:
p(x) = 9.67(x² - 10x + 25) + 1
p(x) = 9.67x² - 96.7x + 250.85 + 1
p(x) = 9.67x² - 96.7x + 251.85
Rounding to the nearest hundredth, we get:
p(x) = 9.67(x - 5² + 1 = 9.67(x + 1.04)² - 10.25
Therefore, the answer is:
p(x) = 9.67(x + 1.04)² - 10.25
The closest answer choice is:
p(x) = 3(x - 1)² - 2, which is not correct.
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картопля містить 20 % крохмалю. скільки картоплі потрібно для одержання 12 кг крохмалю
Answer:
Для виготовлення 1 кг крохмалю потрібно 6 кг картоплі.Скільки крохмалю одержали з 30 кг картоплі. только пожалуйста условие задачи а не ее решение
Step-by-step explanation:
find out what number the X represents
7x -9 = 5
I have worked it out the answer equals 2
Suppose you are going to roll a fair; six-sided die J number of times and record the proportion of times that an even number (2. 4.or 6) is showing: Your first experiment used 60 rolls. but in your second experiment you used 240 rolls. For the second experiment, how is the center and spread of the sampling distribution different from the first experiment? Bolh the center and !he sprcad wIll decrease: Thc cenler will remain lhc sainc: bul thc sprcad will decrease Bolh the cenler and the spread wlll renain thic: salne The cenler will remain the >alne; bul tlic sprcad wvill lncicase:
From the sampling distribution, the correct answer is: Both the center will remain the same, but the spread will decrease.
How is the center and spread of the sampling distribution different from the first experimentThe center of the sampling distribution will remain the same, which is the expected proportion of even numbers showing on a single roll of the die, which is 1/2 or 0.5. This is because the probability of getting an even number on a single roll of the die does not change with the number of rolls in the experiment.
However, the spread of the sampling distribution will decrease as the number of rolls increases. This is because the larger the sample size, the more precise our estimate of the proportion of even numbers showing on each roll of the die will be. With more rolls, we will have a better idea of the true proportion of even numbers that the die produces.
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Which function is best represented by the graph?
Answer:This would be option letter C
Step-by-step explanation:The diagram is a gram of external geofram so the position Is fFX(4) ^N
Answer:
D
Step-by-step explanation:
f(x)= -x^2+4
Draw graph of -x^2 and shift it 4 units above
algebra domain and range please help
Answer:
Option 2.
Step-by-step explanation:
Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.
Domain: \((- \infty} ,0)\) ∪ \((0, \infty} )\)
Range: \((- \infty} ,0)\)∪\((0, \infty} )\)