Answer:
2 hours: 3968 [I don't understand the $ sign in the answer box]
At midnight: 12137
Step-by-step explanation:
The bacteria are increasing by 15% every hour. So for every hour we will have what we started with, plus 15% more.
The "15% more" can be represented mathematically with (1 + 0.15) or 1.15. Let's call this the "growth factor" and assign it the variable b. b is (1 + percent increase).
Since this per hour, in 1 hour we'll have (3000)*(1.15) = 3450
At the end of the second hour we're increased by 15% again:
(3450)*(1.15) = 3968.
Each additional hour add another (1.15) factor, If we assign a to be the starting population, this can be represented by:
P = a(1.15)^t for this sample that increase 15% per hour. t is time, in hours.
If a represents the growth factor, and P is the total population, the general expression is
P = ab^t
Using this for a = 3000 and b = 1.15, we can find the total population at midnight after starting at 2PM. That is a 10 hour period, so t = 10
P = (3000)*(1.15)^10
P = 12137
9. Marika Perez's gross biweekly pay is $2,768.00 How much does she earn annually.
$66,432.00
$71,968.00
O $33,216.00
$143,936.00
Answer:
$66,432.00
Step-by-step explanation:
I believe its this sorry if I'm wrong
Maggie is participating in her school reading challenge. She read 18 of the total 25 books. What percent of books did she read?
Set up a system of equations and solve.
\(\frac{18}{25} = \frac{x}{100}\)
25x = 18(100)
25x = 1800
25÷25x = 1800÷25
x = 72
Maggie has read 72% of books.
the commercial for the new meat man barbecue claims that it takes 18 minutes for assembly. a consumer advocate thinks that the assembly time is different than 18 minutes. the advocate surveyed 11 randomly selected people who purchased the meat man barbecue and found that their average time was 17.3 minutes. the standard deviation for this survey group was 2.3 minutes. what can be concluded at the the
At the 0.05 significance level, we cannot conclude that the assembly time for the Meat Man Barbecue is different from the claimed 18 minutes.
How to solveThe consumer advocate surveyed 11 randomly selected people and found an average assembly time of 17.3 minutes with a standard deviation of 2.3 minutes.
Given the limited size of the sample, the contrast in the typical duration of assembly is somewhat insignificant.
It is challenging to draw a definitive conclusion without performing an official hypothesis examination, but the available data does not offer significant proof to refute the manufacturer's assertion.
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what do we mean when we say that a simple linear regression model is​ statistically useful?
A regular linear regression model is statistically helpful in providing a good fit to the information that can be used to make precise predictions about new information agendas.
A linear regression model is useful when the explanation of a significant amount of variation of the dependent variable utilizes one or more independent variables. The usability of a linear regression model can be comprehended by examining various statistical measures for instance
R-squared, adjusted R-squared, standard error of the estimate, p-values.R-squared value of 1 shows that all of the changes in the dependent variable are elaborated by the independent variable, Hence, an R-squared value of 0 points that none of the variations is elaborated
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this is the question
Using pythagorean theorem:
\(\begin{gathered} c^2=a^2+b^2 \\ a=\sqrt[]{c^2-b^2} \\ a=\sqrt[]{25^2-17^2} \\ a=\sqrt[]{336} \\ a=4\sqrt[]{21}\approx18.3 \end{gathered}\)Question 16 30. Scenario 3-1 How many many blooms are on the peony plants at Bouquet Farms? In previous years, you know that each plant on average would produce 30 blooms. You are interested if your y
Mean number is less than 30 represents reject H₀ Null hypothesis if Tstat < -1.6604 for significance level of 0.05.
t-statistic falls below -1.6604, reject Null hypothesis and conclude there is evidence to suggest mean number is indeed less than 30.
The Null hypothesis is that the mean number is equal to 30 (μ = 30).
The alternative hypothesis would be that the mean number is less than 30 (μ < 30).
Calculate the test-statistic (Tstat) using the sample data.
Sample data provided is the number per plant in a random sample of 100 plants.
Based on decision rule, which is to reject H₀ if Tstat < -1.6604,
Compare the calculated test-statistic to the critical value of -1.6604.
If the calculated Tstat is less than -1.6604, we reject the null hypothesis.
The critical value of -1.6604 is associated with a significance level of 0.05.
This means that if the Null hypothesis is true (μ = 30),
There is a 5% chance of observing a test statistic smaller than -1.6604.
Therefore, Tstat falls below -1.6604 sufficient evidence to reject Null hypothesis and conclude mean number is likely less than 30.
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The above question is incomplete, the complete question is:
How many many blooms are on the peony plants at Bouquet Farms? In previous years, you know that each plant on average would produce 30 blooms. You are interested if your yield this year is smaller because the past few months have been cold and wet. Suppose a random sample of 100 plants yielded the following data on the number of blooms per plant: X=25, S= 8.
You are interested in determining whether there is evidence that the mean number of blooms is less than 30.
Referring to Scenario 3-1, state the correct decision rule for a -0.05.
Reject H₀ if Tstat > 1.6604
Reject H₀ if Tstat < -1.96
Reject H₀ if Tstat < 1.6604
Reject H₀ if Tstat < -1.6604
PLEASE HELP ASAP, will give Brainlyst to the best answer:
Solve for X:
4x - 12 = 8x + 24
O A. x=-9
O
B. X=-3
O C. x=1
О O
D. x= 3
Answer:
-9
Step-by-step explanation:
4x-12=8x+24
we change the signs when we bring 8x on the left hand side so positive 8x becomes -8x.
4x-8x-12=24
we change sign when we bring -12 on the right hand side it becomes +12
4x-8x=24+12
-4x=36
x=36/-4
x=-4
The center is O. The circumference is 28. 6 centimeters. Use 3. 14 as an approximation for pi
The diameter of the given circle with a circumference of 28.6 centimeters is approximately 9.11 cm.
The circumference of a circle is given by the simple formula: C = πd, where C is the circumference, π is the constant pi and d is the diameter of the circle.
Given that the circumference of the circle is 28.6 cm, we can use the formula to find the diameter:
28.6 = πd
d = 28.6/π
Using 3.14 as an approximation for π, we get:
d ≈ 28.6/3.14 ≈ 9.11
Therefore, the diameter of the circle is approximately 9.11 cm.
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you cannot directly assign an enumerator to an int variable.
a. true b. false
Answer:
Step-by-step explanation:
True.
An enumerator is a special data type in some programming languages that allows us to give names to integer values, making the code more readable and easier to maintain.
However, an enumerator cannot be directly assigned to an int variable because they are not compatible data types. An int variable can only store integer values, while an enumerator is a named constant that represents an integer value.
To assign an enumerator to an int variable, we need to explicitly cast the enumerator to an int using type conversion.
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The office manager of a small office ordered 140 packs of printer paper. Based on average daily use, she knows that the paper will last about 80 days.
b. What is the equation of the line in standard form?
4y - 7x = 0 is the equation of the line in standard form.
How to solve an equation?To solve linear equations, utilize the steps that are provided below.
Remove parentheses from each side of the equation and combine similar terms to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The common denominator can be multiplied by each side of the equation to eliminate fractions.Lets take an example of solve z for 7z – (3z – 4) = 12
Here is no multiplication or division, so this will be easy to solve
⇒ 7z – (3z – 4) = 12
⇒ 7z – 3z + 4 = 12
⇒ 4z = 12 – 4
⇒ 4z = 8
⇒ z = 8/4
⇒ z = 2
See, that was so simple, using the mentioned methods, every linear equation can be solved easily.
To find standard equation of a line we will use points (0,0) and (80,140)
Lets fine the slope of given data, slope, m = \(\frac{y_2 - y_1}{x_2 - x_1}\)
m = \(\frac{140- 0}{80- 0}\)
m = 140/80
m = 7/4
We can now make the slope intercept form that is y = mx
with the given data,
y = 7/4(x)
4y = 7x
subtract 7x both the side and we get
4y - 7x = 0
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6. Shana wants to buy her dad a shirt that costs $46.20 for his birthday in 7 weeks. She wants to save the same amount of money each week. How much does she need to save each week? A $0.66 B $6.00 C $6.60 D $66.00
Answer: C $6.60
Step-by-step explanation:
46.20 ÷ 7 = 6.6
So Shana should be saving $6.60 every week.
A researcher wants to know if a new type of exercise improves people’s health. Would this be a one-tailed or a two-tailed test and why?
a) One-tailed because the study is only interested in whether exercise increases health. b) One-tailed because the study only looks at the effects of exercise and does not take other factors into account. c) Two-tailed because they will have to study healthy and unhealthy people. d) Two-tailed because there is no predicted direction of the difference.
Two-tailed because there is no predicted direction of the difference. The correct answer is D.
In hypothesis testing, a one-tailed test is used when the researcher has a specific prediction about the direction of the effect. They expect the results to be either greater than or less than a certain value. However, in this scenario, the researcher simply wants to investigate whether the new type of exercise improves people's health without any specific directional prediction.
A two-tailed test is appropriate when the researcher wants to determine if there is a significant difference between the groups being compared, but without specifying the direction of the difference. In this case, the researcher wants to examine if the new exercise has any effect on health, whether it improves or worsens it. Therefore, a two-tailed test is suitable as it allows for the possibility of observing a significant difference in either direction.
Therefore, considering these factors, the researcher should conduct a two-tailed test to assess the potential impact of the new exercise on people's health. The correct answer is D.
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You need to find the value of x
Answer:
he is dabbing
Step-by-step explanation:
Answer:
x=13
Step-by-step explanation:
The right angle,(2x+11)°,and 53° are supplementary therefore
90°+2x+11+53=180°
2x+154°=180°
2x=180°-154°
2x=26°
x=13
Which of the following formulas which of the following formulas defines an arithmetic sequence?
a) tn = 5 + 14
b) tn= 5n² + 14
c) tn= 5n(n+14)
d) tn= 5n + 14
The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.
In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.
Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.
Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.
Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.
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If you have to divide by a variable, be sure to explain why it is not zero or why it cannot be zero
1. Let A(x,y,z) = 12 +3+ y2 - 2y MULTIPLIERS
(a) Find the global maximum and minimum of A(3,7.2) subject to the constraint ar* + y + z = 2
(b) Find the global maximum and minimum of Als, y.) on the closed bounded dornain ** + y + x2 <16.
(a) There is no extreme value of A subject to the given constraint,
(b) For x = 0, y + z² ≤ 16.
y is between -4 and 4. In this case, f(y,z) = y² and the maximum value is 16.
For x = ±y, z = 4 - y².
y is between -2 and 2. In this case, f(y,z) = 2y² - y⁴ and the maximum value is 2.
When dividing by a variable, one should always keep in mind that the variable cannot be equal to zero. In other words, if the value of the variable is zero, the function or expression will not be defined or will give an undefined result. The reason is that division by zero is not defined in the set of real numbers.
Therefore, one should exclude the value of zero from the domain of the function or expression.
In part (a) of the given question, we are asked to find the global maximum and minimum of A(x,y,z) = 12 + 3x + y² - 2y subject to the constraint x + y + z = 2.
Let's find the partial derivatives of A with respect to x, y, and z.
∂A/∂x = 3
∂A/∂y = 2y - 2 = 2(y - 1)
∂A/∂z = 0
Now, we have to solve the system of equations consisting of the partial derivatives and the constraint equation.
\(3 = \lambda_1 + \lambda_2,\\2y - 2 = \lambda_1 + \lambda_2,\\\lambda_1x + \lambda_2x = 0,\\\lambda_1y + \lambda_2y - 1 = 0,\\\lambda_1z + \lambda_2z = 1.\)
Substituting the values of the partial derivatives, we get:
\(\lambda_1 + \lambda_2 = 3,\\\lambda_1 + \lambda_2 = -2,\\\lambda_1(3) + \lambda_2(0) = 0,\\\lambda_1(y - 1) + \lambda_2(y - 1) = 0,\\\lambda_1(0) + \lambda_2(1) = 1.\)
The second and third equations are contradictory. So, under the given constraint, A has no extreme value.
In part (b), we are asked to find the global maximum and minimum of A(x,y,z) = x² + y² on the closed bounded domain x² + y + z² ≤ 16.
Let's use the method of Lagrange multipliers to solve the problem. We have to find the critical points of the function f(x,y,z) = x² + y² subject to the constraint x² + y + z² = 16.
We have to solve the system of equations consisting of the partial derivatives of f, the partial derivatives of the constraint function, and the equation of the constraint function.
2x = λ(2x),
2y = λ(1),
2z = λ(2z).
Substituting the value of λ from the second equation into the first equation, we get: x = 0 or x = ±y.
Substituting the values of x and λ from the first and second equations into the third equation, we get:
z = 4 - y² or z = 0.
Since the constraint is x² + y + z² ≤ 16, we have to consider the following cases:
Case 1: x = 0, y + z² ≤ 16.
So, y is between -4 and 4. The maximum value of f(y,z)=y² is 16 in this case.
Case 2: x = ±y, z = 4 - y².
So, y is between -2 and 2. The maximum value of f(y,z) = 2y² - y⁴ is 2 in this case.
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A model of a plane has a wingspan
of 14 inches. If the scale of the
model is 1 inch : 4 feet, the
wingspan of the actual plane is
feet.
Help Resource
Per
Enter
220-
clan
Answer:
the inches is 2.8 inches
Step-by-step explanation:
if you divide 10 divided by 2 it gives you 5 and then subtract it by 2.2 = 2.8
there goes your answer.
Find the missing angles
Answer:
z=116 (opposite angles are equal)
y=180-(116+27)=37(angles in a triangle sum up to 180)
x:
(z) + (27+x) =180(interior angles on same side are supplementary
116 + 27+ x =180
x= 37
What word is missing from this true mathematical statement: Twelve is congruent to 60 ______ 8 because both 12 and 60 have 4 as a remainder when divided by 8?
The missing word is "modulus". The statement should read: Twelve is congruent to 60 (modulus 8) because both 12 and 60 have 4 as a remainder when divided by 8.
The modulus function, also known as the modulo operation or mod function, is a mathematical operation that returns the remainder when one integer is divided by another. The modulo operation is a quick and efficient way to find the remainder of a division. For example, if we want to know the remainder when 23 is divided by 5, we can simply compute 23 % 5, which equals 3. The symbol "%" is often used to represent the modulo operation in computer programming, while "mod" is used in mathematical notation to indicate congruence. In either case, the statement means that 12 and 60 leave the same remainder when divided by 8.
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PLEASE I AM BEGGING YOU WHO IS WILLING TO HELP ME I WILL GIVE BRAINLIEST IF YOU ARE WILLING TO HELP ME COMMENT DOWN BELOW
Answer:
I need context
Step-by-step explanation:
how many groups of 1/8 are in 11/12
Answer:
2
Step-by-step explanation:
I need to make it 20 character long.
What is the simplified form of the fraction 2000 over 100
Answer:
20/1
Step-by-step explanation:
2000 divided by 100 = 20
100 divided by 100 = 1
3(4) to the 4th power
Answer:
768
Step-by-step explanation:
3(4)⁴ = 768
hope it's helpful
Answer:
768
Step-by-step explanation:
First, think about the order of operations.
Since there is an exponent in the equation, that's the first thing you do.
4 times 4 times 4 times 4
4 times 4 = 16
16 times 4 = 64
64 times 4 = 256
Now, you're left with 3(256)
3 times 256 = 768
on september 1, tsang company began a contract to provide services to wilson company for six months, with the total $21,600 payment to be made at the end of the six-month period. equal services are provided each month. the firm uses the account fees receivable to reflect amounts due but not yet billed is?
The Fees Receivable average account is used to record amounts due from Wilson Company for services provided by Tsang Company.
The Fees Receivable account is used to track amounts due from Wilson Company to Tsang Company for services that have been provided but not yet invoiced. The account is created when Tsang Company begins a contract to provide services to Wilson Company for six months at a total cost of $21,600. This amount is paid at the end of the six-month period, with equal services being provided each month. The Fees Receivable account is used to record the amount due each month, with the total balance of the account being equal to the total cost of the services provided. It is important to keep track of amounts due from customers so that the business can accurately track its accounts receivable and ensure that it is receiving payment for the services it has provided.
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Complete the statement.
In any given circle, the measure of a(n) is one-half the measure of the .
Mr. Thaxton has two daughters. The sum of their ages is twenty-one. The product of their ages is one hundred ten. How old is Mr. Thaxton's youngest daughter?
Answer:
The youngest daughter is 10
Jessica is trying to save money to set aside for emergencies. she already has $75 and she earns $9 per hour at her family job. how many hours will she need to work to earn at least $500?
Answer:
Either 55.56 or 47.222 hours, depending on how the qyuestion is interpreted. The first answer assumes that Jessica's existing savgings of $75 is not available for emergencies.
Step-by-step explanation:
The question is difficult to answer. It doesn't specify that the $75 counts agains the $500. It simply asks how many hours of work does she need to earn $500.
Jessica is paid $9/hr, so her earnings (y, in $) are described by the formula: x hours at :
y = ($9/hr)*x
If we set y = $500:
$500 = ($9/hr)*x
x = $500/($9/hr)
x = 55.56 hours.
However, if we set y = $500 - $75, the Jessica only needs to work:
$425 = ($9/hr)*x
x = $425/($9/hr)
x = 47.222 hours
What is the answer? i need help so bad....
Answer:
18
Step-by-step explanation:
(6 * 3 ) - (8 * 0) = 18
Find the difference between 7/10 and 1/5.
Answer:
the answer is \(\frac{7}{2}\)
Step-by-step explanation:
(Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.)
hope this helps :)
268 divided n = 0.268
find the value of n
Answer: 1000
Step-by-step explanation:
268 / n = 0.268
(268 / n) x n = 0.268 x n
268 = 0.268n
268 / 0.268 = 0.268n / 0.268
1000 = n
Which graph shows a function whose inverse is also a function?
On a coordinate plane, 2 curves are shown. f (x) is a curve that starts at (0, 0) and opens down and to the right in quadrant 1. The curve goes through (4, 2). The inverse of f (x) starts at (0, 0) and curves up sharply and opens to the left in quadrant 1. The curve goes through (2, 4).
On a coordinate plane, 2 parabolas are shown. f (x) opens up and goes through (negative 2, 5), has a vertex at (0, negative 2), and goes through (2, 5). The inverse of f (x) opens right and goes through (5, 2), has a vertex at (negative 2, 0), and goes through (5, negative 2).
On a coordinate plane, two v-shaped graphs are shown. f (x) opens down and goes through (0, negative 3), has a vertex at (1, 3), and goes through (2, negative 3). The inverse of f (x) opens to the left and goes through (negative 3, 2), has a vertex at (3, 1), and goes through (negative 3, 0).
On a coordinate plane, two curved graphs are shown. f (x) sharply increases from (negative 1, negative 4) to (0, 2) and then changes directions and curves down to (1, 1). At (1, 1) the curve changes directions and curves sharply upwards. The inverse of f (x) goes through (negative 4, negative 1) and gradually curves up to (2, 0). At (2, 0) the curve changes directions sharply and goes toward (1, 1). At (1, 1), the curve again sharply changes directions and goes toward (3, 1).
Answer:
A -- the curves that are not parabolas
Step-by-step explanation:
The inverse relation will only be a function if it passes the vertical line test: a vertical line cannot intersect the curve at more than one point.
A "half-parabola" can have an inverse function.
A parabola will have an inverse relation that is not a function. When x-values are repeated, as "goes through (5, 2) and goes through (5, -2)", the relation is not a function.
The graph that shows inverse functions is attached. A function and its inverse are mirror images of each other in the line y=x.
Answer:
A
Step-by-step explanation: