A sunflower is 3 inches tall after 1 week, 5 inches after 2 weeks, and 7 inches after 3 weeks. What is the recursive rule and explicit rule of this sequence?
Answers
Answer: f(x)= 2x+ 1
Step-by-step explanation:
Let's set up an equation
f(x)=mx+b
We know it's 3 inches tall and grows 2 inches weekly.
Our equation is
f(x)= 2x + 1
Now let's test the week is 1
f(1) = 2(1) +1
f(1) = 3
Let test the week is 2
f(2) = 2(2)+1
f(2) = 5
So we know this equation work
Related Questions
Will give brainliest worth 50 points also i need it done today pls
Answers
Answer:
5/2
Step-by-step explanation:
we have X = -3x + 3
-3x +3= -2
3+2 = 3x
5= 3x
5/3 = x
#1
18,11,4,-3...
Here
a=18d=-7\(\\ \sf\longmapsto a_n=a+(n-1)d\)
\(\\ \sf\longmapsto a_{32}\)
\(\\ \sf\longmapsto 18+31(-7)\)
\(\\ \sf\longmapsto 18-217\)
\(\\ \sf\longmapsto -199\)
#2
a=4d=6\(\\ \sf\longmapsto a_{24}\)
\(\\ \sf\longmapsto a+23d\)
\(\\ \sf\longmapsto 4+23(6)\)
\(\\ \sf\longmapsto 4+138\)
\(\\ \sf\longmapsto 142\)
A building supply company requires at least 30 pallets of brick weighing 900 pounds each and at least 20 pallets of roofing material each weighing 650 pounds in order to make a delivery. The company's shipping trucks have a load capacity of 34,000 pounds. Express these restrictions with a system of inequalities. Make sure you define your variables. Problem 11. What is the effective interest rate of 8.1% interest compounded monthly? Show how you calculated your answer. Problem 12. If you wanted to estimate the probability that a household in Winona has a Roku hooked up to at least one of the TVs in the house describe what data you would need to collect in order to estimate that probability.
Answers
1. Building Supply Company:
Let's define the variables:
Let B represent the number of pallets of bricks.
Let R represent the number of pallets of roofing material.
According to the problem, we have the following restrictions:
At least 30 pallets of brick: B ≥ 30
Each brick pallet weighs 900 pounds: 900B ≤ 34,000 (load capacity of the truck)
At least 20 pallets of roofing material: R ≥ 20
Each roofing material pallet weighs 650 pounds: 650R ≤ 34,000
The first inequality ensures that the company has at least 30 pallets of bricks.
The second inequality guarantees that the total weight of bricks (900B) does not exceed the load capacity of the truck, which is 34,000 pounds.
The third inequality ensures that the company has at least 20 pallets of roofing material.
The fourth inequality guarantees that the total weight of roofing material (650R) does not exceed the load capacity of the truck.
2. Effective Interest Rate Calculation:
To calculate the effective interest rate compounded monthly, we use the formula:
Effective Interest Rate = (1 + (Annual Interest Rate / Number of Compounding Periods)) ^ Number of Compounding Periods - 1
In this case, the annual interest rate is 8.1% (0.081) and it is compounded monthly. Therefore, we have:
Effective Interest Rate = (1 + (0.081 / 12))^12 - 1 = 8.44%
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while logistic regression and classification and regression trees (cart) have the same end goal, each model approaches the goal in a different way. discuss the differences in the two models. provide a specific example of a situation where employing a cart model would be preferable to a logistic regression model. explain what makes the cart model superior in your example.
Answers
Logistic regression models the probability of a binary outcome, while CART models segment data into categories. For example, CART is preferable when data has complex interactions, as it can partition data into multiple categories.
Logistic regression and classification and regression trees (CART) are two different machine learning models used for binary classification problems. Logistic regression models the probability of one class or the other based on a linear combination of input variables. This makes it useful for predicting a binary outcome, such as whether a customer will purchase a product or not. On the other hand, CART is a decision tree model that divides data into categories. It uses a tree-like structure to split the data into segments based on the input features. This makes it useful for dealing with data with complex interactions, as it can partition data into multiple categories. For example, a CART model would be preferable to a logistic regression model if there are multiple underlying factors that affect the binary outcome. In this case, a CART model could more accurately identify the categories that are associated with a particular outcome. Overall, CART models are superior for dealing with data with complex interactions, whereas logistic regression is better for simpler data.
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do blood-building drugs help brain development in babies born prematurely? researchers randomly assigned 53 babies, born more than a month premature and weighing less than 3 pounds, to one of three groups. babies either received injections of erythropoietin (epo) three times a week, darbepoetin once a week for several weeks, or no treatment. results? babies who got the medicines scored much better by age 4 on measures of intelligence, language, and memory than the babies who received no treatment.how many different treatments were there and what principle of experimental design does that address?
Answers
There were three different treatments: erythropoietin, darbepoetin, and no treatment. This selection exemplifies the principle of randomization principle.
What is a treatment?In experiments, the word treatment refers to the use of a specific medicine, therapy, or condition that is controlled by the research to test the effect of the treatment on subjects. For example, if the researcher wants to find out the ideal amount of water for a plant to grow, the treatment would be the amount of water.
In the case presented, there are three treatments:
Erythropoietin (epo) three times a week.Darbepoetin once a week for several weeks.No treatment.What principle of experimental design does that address?Randomization is the principle applied because the subjects are selected randomly for each of the groups and this reduces bias.
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1 the weight of a new touchscreen device screen device is 1.6 pounds.
what is the weight to the nearest whole number?
2 write two different numbers that when rounded to the nearest tenth will give you 18.3
3 explain what happens when you round 9,999.999 to any place
4 in what real-world situations would you want to round a number
Answers
Answer:
1. 2
2. 18.26 and 18.27
3. you will get 1,000.000
4. when you are buying something at the store
Jabal and Michael are walking to school and agree to leave their homes at the same time.
Jabal leaves his house walking 2.5 meters per second, Michael leaves his house walking 6 meters per second
Jabal's house is 15 meters closer to school than Michael's house, therefore he is starting 16 meters closer than Michael
After how long are the boys walking together? Use any strategy you'd like to solve
Answers
Answer:
We can write the position equation as:
P(t) = speed*time + initial position.
If we define Jabal home as the 0 of the position, then Jabal's initial position is 0m
And we know that his speed is 2.5 m/s, then his position equation is:
Pj(t) = (2.5 m/s)*t
We know that Michael speed is 6m/s, and we also know that his house is 15m further away from school than Jabal's one, then Michael's initial position is -15m
Michael's position equation is:
Pm(t) = (6m/s)*t -15 m
The boys will be walking together when they meet, and this will happen when their positions are the same, this means that:
Pj(t) = Pm(t)
That is the equation we need to solve for t.
(2.5 m/s)*t = (6m/s)*t -15 m
15m = (6m/s)*t - (2.5 m/s)*t = (3.5 m/s)*t
15m/(3.5 m/s) = t = 4.28 seconds.
The boys will walk together after 4.28 seconds.
i’m being timed !!!
Given the function f(x) = -x^2 + 4x + 6, determine the average rate of change of
the function over the interval -4 < x < 7.
Answers
Step-by-step explanation:
I dont know the answer but I know you should make a graph for it and it will tell u the answer I will try and take a photo
Find how much interest $10,000 earns in 4 years in a certificate of deposit paying 4.5% interest compounded quarterly. The interest earned in 4 years is $ (Do not round until the final answer. Then round to the nearest cent as needed.)
Answers
According to the Question, The interest earned in 4 years is $1,954.83.
What is compounded quarterly?
A quarterly compounded rate indicates that the principal amount is compounded four times over one year. According to the compounding process, if the compounding time is longer than a year, the investors would receive larger future values for their investment.
The principal is $10,000.
The annual interest rate is 4.5%, which is compounded quarterly.
Since there are four quarters in a year, the quarterly interest rate can be calculated by dividing the annual interest rate by four.
The formula for calculating the future value of a deposit with quarterly compounding is:
\(P = (1 + \frac{r}{n})^{nt}\)
Where P is the principal
The annual interest rate is the number of times the interest is compounded in a year (4 in this case)
t is the number of years
The interest earned equals the future value less the principle.
Therefore, the interest earned can be calculated as follows: I = FV - P
where I = the interest earned and FV is the future value.
Substituting the given values,
\(P = $10,000r = 4.5/4 = 1.125n = 4t = 4 years\)
The future value is:
\(FV = $10,000(1 + 1.125/100)^{4 *4} = $11,954.83\)
Therefore, the interest earned is:
\(I = $11,954.83 - $10,000= $1,954.83\)
Thus, the interest earned in 4 years is $1,954.83.
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What must be added to 2xsquare-7xy+5ysquareto obtain xsquare+4xy-3ysquare with steps
Answers
A value which must be added 2x² - 7xy + 5y² to obtain x² + 4xy - 3y² include the following: -x² - 8y² + 11xy.
What is a quadratic function?In Mathematics, a quadratic function can be defined as a mathematical expression which defines and represent the relationship that exists between two (2) or more variable on a graph, with a maximum exponent of two (2).
In Mathematics, the standard form of a quadratic function is given by;
ax² + bx + c = 0
Let the variable k represent the value which must be added to the given quadratic function. Therefore, a mathematical expression which models and represent the situation is given by;
2x² - 7xy + 5y² + k = x² + 4xy - 3y²
k = x² + 4xy - 3y² - (2x² - 7xy + 5y²)
k = x² + 4xy - 3y² - 2x² + 7xy - 5y²
By collecting like terms, we have the following:
k = (x² - 2x²) + (-3y² - 5y²) + (4xy + 7xy)
k = -x² - 8y² + 11xy.
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Complete Question:
What must be added to 2x² - 7xy + 5y² to obtain x² + 4xy - 3y²?
Select all that apply.
Which of the following name a line segment in the drawing?
Answers
I think it would be ef because they are across from each other.
Answer:
lineAF, CE, EF
Step-by-step explanation:
Every line except AB, because a line don't curve.
Hope u understood.
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Thank You
imagine we found a strong positive correlation between depression and sleep problems. we might hypothesize that this relationship is explained or accounted for by worry (i.e., depressed people tend to worry more than non-depressed people, leading them to experience more sleep problems). what type of analysis could we conduct to test this hypothesis? group of answer choices mediation moderation anova simple linear regression
Answers
The analysis that could be conducted to test the hypothesis that worry accounts for the relationship between depression and sleep problems is mediation analysis. So, correct option is A.
Mediation analysis is a statistical method used to examine the mechanisms through which an independent variable (in this case, depression) affects a dependent variable (sleep problems) through a third variable (worry).
It involves testing the direct effect of the independent variable on the dependent variable, as well as the indirect effect of the independent variable on the dependent variable through the mediator variable.
If the indirect effect is significant and the direct effect becomes non-significant or smaller in magnitude after controlling for the mediator variable, then it suggests that the relationship between the independent and dependent variables is mediated by the mediator variable (worry).
So, correct option is A.
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Subtract 2x^2 - 8 from 5x^2 + 3x - 4.
Answers
To subtract one expression from the other we:
\((2x^2-8)-(5x^2+3x-4)\)We take out the parenthesis and start to solve:
\(2x^2-8+5x^2-3x+4\)Notice that all the signs in the second parenthesis changed because there was a minus sign before the parenthesis. We add similar components:
\(7x^2-3x-4\)Find −1/4(−8.6) . Write your answer as a decimal to the nearest hundredth.
Answers
Answer:
2.15
Step-by-step explanation:
I will assume that "−1/4(−8.6)" is telling us to multiply (-8.6) times -(1/4):
(-1/4)*(-8.6)
= (8.6/4)
= 2.15
Which fraction and decimal forms match the long division problem?
Answers
Answer: C
Step-by-step explanation: C
2 divided into 9 parts is 2/9.
Let's' explain this visually
Take this pizza, (image below)
Let's say we have two pizzas for 8 friends (including ourselves), so naturally, we'll cut the pizza's each into 9 slices, 1 for each, now everyone gets 1/9 of a pizza, but there are two pizzas, so if we add 1/9+1/9, we'll get two ninths.
Now 2/9=0.2 repeating!
This is how I got my answer sorry for the vague explanation
Anyone able to help answer this? With solution please if possible!! Thanks!! (Math)
Answers
Answer:
x = 4
Step-by-step explanation:
Subtract 2 from both sides of the equation
13x+2=4x+38
13x+2-2=4x+38-2
Simplify
13x=4x+36
Subtract 4x from both sides of the equation
13x=4x+36
13x-4x+36-4x
Simplify
9x = 36
Divide both sides of the equation by the same term
9x/9 = 36/9
Simplify
x = 4
[RevyBreeze]
Answer:
x = 4Step-by-step explanation:
\(13x + 2 = 4x + 38 \\ 13x - 4x = 38 - 2 \\ 9x = 36 \\ x = \frac{36}{9} \\ x = 4\)
Choose the student who modeled the relationship correctly in a table.
Beatriz makes $7.80 per hour.
Zohar's work. A 2-column table with 3 rows. Column 1 is labeled Dollars (x) with entries 7.80, 15.60, 23.40. Column 2 is labeled hours (y) with entries 1, 2, 3.
Felipe's work. A 2-column table with 3 rows. Column 1 is labeled hours (x) with entries 1, 2, 3. Column 2 is labeled dollars (y) with entries 7.80, 15.60, 23.40.
Leonie's work. A 2-column table with 3 rows. Column 1 is labeled 1 (x) with entries 2, 3, 4. Column 2 is labeled 7.80 (y) with entries 1, 2, 3.
Answers
Answer:
The second choice
Step-by-step explanation:
Answer: Felipe's work!
Step-by-step explanation:
There are 70 students in a school band . 40% of them are sixth graders , 20% of them are seventh graders , and the rest are eighth graders . what percentage of the band members are eighth graders?
Answers
Answer:
40% of the band members are eighth graders.
Step-by-step explanation:
There can only be a total of 100%. The problem already gives us the percentages of sixth graders and seventh graders, and it tells us that there are only eighth graders left. Subtract the sum of 40 and 20 from 100 to get your answer.
100% - (40% + 20%) = 40%
A $10,000 Treasury bill earned 16% compounded monthly. If the bill matured in 2 years, what was it worth
at maturity?
Answers
The formula for the amount earned with compound interest after n years is given as:
A = P \((1 + r/n)^{nt}\)
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
The treasury bill at maturity is worth $13,742.19.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P \((1 + r/n)^{nt}\)
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
We have,
P = $10,000
r = 16%
t = 2 years
n = 12
Now,
A = 10,000 \((1 + 0.16/12)^{24}\)
A = 10,000 \((1.0133)^{24}\)
A = $13,742.19
Thus,
The treasury bill at maturity is worth $13,742.19.
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What is zero divided by zero????? I NEED TO KNOW!!!!!!
Answers
Answer: Error
Step-by-step explanation: Its impossible to divide by zero.
Answer:
0
Explanation Anything divided by zero is zero
Can someone please help?
Answers
134
-
120
would equal:
14.
If you do 73 - 60 = 13 then you would just bring down your 4 giving you 134.
Sandy used a virtual coin toss app to show the results of flipping a coin 50 times, 400 times, and 2,000 times. Explain what most likely happened in Sandy's experiment.
Sandy's experimental probability was closest to the theoretical probability in the experiment with 2,000 flips.
Sandy's experimental probability was closest to the theoretical probability in the experiment with 400 flips.
Sandy's experimental probability was closest to the theoretical probability in the experiment with 50 flips.
Sandy's experimental probability was exactly the same as the theoretical probability for all three experiments.
Answers
The most likely happened in Sandy's experiment is that,
Sandy's experimental probability was exactly the same as the theoretical probability for all three experiments.
Option D is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Tossing a coin:
The probability of getting a head = 1/2
The probability of getting a tail = 1/2
This is the theoretical probability.
Now,
Experiment probability:
Virtual coins too have the same probability of getting a head and a tail as compared to the theoretical probability.
Thus,
Sandy's experimental probability was exactly the same as the theoretical probability for all three experiments.
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Answer:Not Sure but it is not D at all so please don't use that!
Step-by-step explanation:
Find three consecutive even integers such that six times the sum of the first and the third is twenty - four greater than eleven times the second .
Answers
Answer:
1st = 22
2nd = 24
3rd = 26
Step-by-step explanation:
1st = x
2nd = x +2
3rd = x + 4
6(x + x + 4) = 24 + 11(x + 2)
6(2x + 4) = 24 + 11x + 22
12x + 24 = 46 + 11x
x + 24 = 46
x = 22
x + 2 = 24
x + 4 = 26
The three consecutive even numbers are 22, 24 and 26
An even number is a number that can be divided by 2 and there would be no remainder. Examples of even numbers are 2, 4, 6, 8, 10
Let:
x represent the first even number
(x +2) represent the second even number
(x +4) represent the third even number
The equation that represents the verbal explanation in the question is:
6[ x + (x +4)] = 24 + 11(x + 2)
6(2x +4) = 24 + 11x + 22
12x + 24 = 46 + 11x
Combine similar terms
12x - 11x = 46 - 24
x = 22
(x + 2)= 22 + 2 = 24
(x + 4) = 22 + 4 = 26
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a = { x ∈ : x is even } c = { 3 , 5 , 9 , 12 , 15 , 16 } select the true statement. question 15 options: c−a={12,16} c−a={3,5,9,15} c−a={3,5,9,12,15} the set c−a is infinite.
Answers
The true statement is: c−a={3,5,9,15}.
Given sets a and c:
a = {x ∈ : x is even}
c = {3, 5, 9, 12, 15, 16}
To find c−a (the set difference between c and a), we need to subtract the elements of set a from set c.
Since set a consists of even numbers, and set c contains both even and odd numbers, the elements in set a will be subtracted from set c.
From the given sets, the common elements between c and a are 12 and 16. Thus, these elements will be removed from set c.
Therefore, c−a = {3, 5, 9, 15}. This is the set difference between c and a, which includes the elements that are in set c but not in set a.
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Will’s meal of grilled chicken strips and carrots contained a total of 333 calories. The bag of grilled chicken strips contained x servings of 110 calories each. The bag of carrots contained y servings of 29 calories each. Which equation written in standard form represents the number of servings of chicken strips and carrots that Will may have eaten?
110y = –29x + 333
29x + 110y = 333
29y = –110x + 333
110x + 29y = 333
Answers
Answer:
correct answer is 110x + 29y = 333
Step-by-step explanation:
S=26.32 E=55 t=3 standard diviation=60% 3-year r=2.4% 10-year
r=3.1%
What minimum value would you assign? What isthe maximum value
you would assign?
Answers
For the given standard deviation the minimum value we would assign is 22.the maximum value we would assign is 88.
To calculate the minimum and maximum values based on the given information, we need to consider the standard deviation and the respective interest rates for the 3-year and 10-year periods.
Given:
S = 26.32 (Initial value)
E = 55 (Expected value)
t = 3 (Years)
Standard deviation = 60% (of the expected value)
3-year interest rate = 2.4%
10-year interest rate = 3.1%
To find the minimum value, we will calculate the value at the end of the 3-year period using the lowest possible growth rate.
Minimum value calculation:
Minimum value = E - (Standard deviation * E) = 55 - (0.6 * 55) = 55 - 33 = 22
Therefore, the minimum value we would assign is 22.
To find the maximum value, we will calculate the value at the end of the 10-year period using the highest possible growth rate.
Maximum value calculation:
Maximum value = E + (Standard deviation * E) = 55 + (0.6 * 55) = 55 + 33 = 88
Therefore, the maximum value we would assign is 88.
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The speedometer in Erin’s car is accurate within 2 miles per hour. It currently reads
56 mph. Write and solve an absolute value inequality to represent the situation. At what speeds could Erin be driving?
Answers
Answers:
The absolute value inequality is \(|\text{x}-56| \le 2\) which solves to \(54 \le \text{x} \le 58\\\\\) Her true speed could be anything between 54 mph and 58 mph, including both endpoints.===================================================
Explanation:
x = Erin's true speed
Her true speed x is within 2 mph of 56 mph.
This means the interval for x is \(56-2 \le \text{x} \le 56+2\) which simplifies to \(54 \le \text{x} \le 58\)
She could be going as slow as 54 mph, or as fast as 58 mph, or something in between.
The expression |x-56| measures the distance from x to 56 on the number line. Recall absolute value is used to ensure the distance isn't negative.
We want this distance to be within 2 units, i.e. we want the distance to be 2 or smaller.
\(\text{distance on number line} \le 2\\\\|\text{x}-56| \le 2\)
----------------
Here's what the steps look like to solve that absolute value inequality
\(|\text{x}-56| \le 2\\\\-2 \le \text{x}-56 \le 2\\\\-2+56 \le \text{x}-56+56 \le 2+56\\\\54 \le \text{x} \le 58\\\\\)
For the second step, we use the rule that |x| < k is the same as -k < x < k where k is some positive number.
In the third step, I added 56 to all three sides to isolate x fully.
What is the difference between different types of integer models
namely total integer model, 0-1
integer model & mixed integer model, explain briefly in our own
words?
Answers
Different types of integer models refer to different formulations and restrictions applied to the variables in mathematical optimization problems. Here are brief explanations of three commonly used types of integer models: total integer model, 0-1 integer model, and mixed integer model.
1. Total Integer Model: In a total integer model, all variables are required to take integer values. This means that the solution must consist of only whole numbers, without any fractional or decimal values. For example, if a variable represents the number of units to produce, a total integer model would ensure that only whole units can be produced.
2. 0-1 Integer Model: In a 0-1 integer model, the variables are binary and can only take two values: 0 or 1. This formulation is often used for decision variables that represent choices or binary decisions, such as selecting or not selecting a particular option. For example, in a facility location problem, a 0-1 integer variable can represent whether a facility is open (1) or closed (0).
3. Mixed Integer Model: A mixed integer model allows a combination of integer and continuous variables in the optimization problem. Some variables can take fractional or decimal values (continuous), while others must take integer values. This formulation is useful when there is a need to model both discrete decisions and continuous quantities in the same problem. For example, in a production planning problem, the number of machines (integer) and the amount of raw material used (continuous) can be decision variables in a mixed integer model.
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A salesperson at a jewelry store earns 4% commission each week. Last week, Heidi sold $680 worth of jewelry. How much did she make in commission? How much did the jewelry store make from her sales?
Answers
Please help ASAP !! Need it rn
Answers
Answer:
if the lines have arrows at the end then the domain is infinite.
Step-by-step explanation:
Lines are infinite
Answer:
Domain: x ∈ all real numbers
Step-by-step explanation:
It appears to be the function |x|-1 and that is defined by all values of x. Meaning that the domain is x can be any value.
You are standing 90 feet away from a tree that is 90 feet tall and looking at the top of the tree.
Answers
Answer:
Step-by-step explanation:
45 degrees. See inset photo of a right 90 degree isosceles triangle