The population of foxes in the preserve after 42 years will be:
1620 foxes.
The function "y = 60 • 3^t" models the population growth of foxes in a wildlife preserve.
"y" represents the population size, "60" is the initial population size, "3" is the factor by which the population triples, and "t" is the number of 14-year periods that have passed.
In this case, we are told that 42 years have passed, so we can calculate the number of 14-year periods as "t = 42/14 = 3".
Substituting this value of "t" into the function, we get: So, t = 42/14 = 3
Substituting that into the function:
y = 60 • 3^ty = 60 • 3^3y = 60 • 27y = 1620So, after 42 years, the population of foxes in the preserve will have grown to 1620 foxes.
Complete Question:
"A population of 60 foxes in a wildlife preserve triples in size every 14 years. The function y = 60 • 3^x models the population growth, where x is the number of 14-year periods. How many foxes will there be after 42 years?"
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Pease answer number 2
Answer: The functions has 3 real zeros because it cross the x-axis 3 times
As x goes towards infinity, f(x) goes towards infinity
As x goes towards negative infinity, f(x) goes towards negative infinity
[HELP! WILL GIVE BRAINLIEST] Determine the value of θ.
Answer:20.9248 degrees
Step-by-step explanation:
sin(θ)=opposite/hypotenuse
θ=sin⁻¹(opposite/hypotenuse)
θ=sin⁻¹(5/14)
θ=20.9248 degrees or θ=0.3652 radians
Which of the following are true about Principal Component Analysis (PCA)? (2 correct answers)a) PCA is intended for use with categorical variablesb) The idea of PCA is to find a linear combination of the two variables that contains most, even if not all, of the information, so that this new variable can replace the two original variables.c) PCA is intended for use with quantitative variablesd) Normalization (= standardization) is usually performed in PCA when analysis is conducted on covariances
Principal Component Analysis (PCA) is a statistical technique used to reduce the number of variables in a dataset.
It is used to transform a set of correlated variables into a smaller set of uncorrelated variables, called principal components, which capture the most variance in the data. The formula for PCA can be written as:
X' = ΣX - μ
Where X is the original data, X' is the transformed data, μ is the mean of the original data, and Σ is the covariance matrix of the original data.
To calculate PCA, the mean of the original data is first subtracted from each of the observations. This is then multiplied by the covariance matrix, which is a matrix of the variances and covariances of the original data. The resulting product is the transformed data, which is a matrix of uncorrelated principal components. The principal components are the linear combinations of the original variables that capture most of the variance in the data. The amount of variance captured by each component is determined by the eigenvalues of the covariance matrix. The eigenvectors of the covariance matrix are the principal components.
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Problem 4. As a cold front passed through Denver, the temperature changed at the same
rate of 6 hours. The total change in temperature was -42 degrees. What was the change in
temperature each hour?
The change in temperature in each hour would be = -7 degrees/ hour
What is temperature?Temperature is defined as the degree of how hot or cold a body is which can be measured in degree Celsius or degree Fahrenheit.
As the individual passed through Denver the time for total temperature change = 6 hours.
The total temperature changes = -42 degrees
If 6 hours = -42 degrees
1 hour = × degrees
make X the subject of formula;
X = -42/6
X = -7 degrees/hour
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While packing , Goerge and harri did a number of foolih and funny thing. Name any five
The true statements are (i),(iii),(iv),(vi),(vii), and (ix).
While packing the hamper, George and Harris do a number of foolish and funny things. The true statements are as follows:
(i) They started with breaking a cup.
(iii) They squashed a tomato.
(iv) They trod on the butter.
(vi) They put things behind them and couldn't find them.
(vii) They stepped on things.
In the descriptions, it appears that George and Harris were not very skilled at packing and ended up making a lot of mistakes, such as breaking dishes, squashing food, losing items, and stepping on things. So, statement (ii), (v), (viii) is false because they did not pack the pictures well, and statement (x) is false because they were not very good at packing.
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--The given question is incomplete; the complete question is
"While packing the hamper, George and Harris do a number of foolish and funny things. Tick the statements that are true.
(i) They started with breaking a cup.
(ii) They also broke a plate.
(iii) They squashed a tomato.
(iv) They trod on the butter.
(v) They stepped on a banana.
(vi) They put things behind them and couldn't find them.
(vii) They stepped on things.
(viii)They packed the pictures at the bottom and put heavy things on top.
(ix) They upset almost everything.
(x) They were very good at packing."--
c7h14o ir peak wavenumbers functional group
C7H14O is likely an alcohol with IR peaks due to C-O and O-H bond stretching vibrations around 1050-1300 cm^-1 and 3000-3600 cm^-1.
What is atom ?
The smallest part of a substance that cannot be broken down chemically. Each atom has a nucleus (center) made up of protons (positive particles) and neutrons (particles with no charge). Electrons (negative particles) move around the nucleus.
The C7H14O molecule is likely to be an alcohol, as the functional group for alcohols includes a hydroxyl (-OH) group, which contains an oxygen atom bonded to a hydrogen atom.
The wavenumber of an IR peak corresponds to the frequency of a vibration in the molecule. In the case of an alcohol, the IR peaks of interest are typically due to the stretching vibrations of the C-O and O-H bonds. The IR peaks for these vibrations typically occur at wavenumbers in the range of 1050-1300 cm^-1 and 3000-3600 cm^-1, respectively.
C7H14O is likely an alcohol with IR peaks due to C-O and O-H bond stretching vibrations around 1050-1300 cm^-1 and 3000-3600 cm^-1.
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The surface area of a cylinder with a radius of 3 inches is 78pi square inches. What is the height of the cylinder in inches? (Do not enter units)
The height of the cylinder in inches is 10 inch.
What is Surface Area?The total area of an object's external facing surfaces is its surface area. The base, top, and lateral surfaces (sides) of the object's surface are added together to get the object's overall surface area.
Given:
radius = 3 inch
Surface Area of cylinder = 78π
So, Surface Area of cylinder = 2πr (h+ r)
78π = 2π x 3 ( h+ 3)
78 = 6 (h+ 3)
13 = h+ 3
h= 10 inch
Hence, the height is 10 inch.
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What is the answer to -40-24u
The simplification of the expression -40-24u is -8(3u+5)
What is simplification?Making something simpler is the definition of simplify. Simplifying an expression, fraction, or mathematical problem is referred to as simplification in mathematics. Through calculations and problem-solving, it simplifies the issue.
As you are aware, simplifying mathematical problems improves test scores and is also used in daily life. For example, in malls, you can receive a 35% discount, a flat discount, or a 20% discount up to Rs 100. To solve equations in this section, you only need to apply the most basic simplification rules.
Therefore, simplifying an expression entails applying various techniques to make it into a simpler version. The operations necessary to simplify things are carried out according to a predetermined procedure called BODMAS.
-40-24u
= -24u-40
= -8(3u+5)
The answer is -8(3u+5)
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Which value of x results in short circuit evaluation, causing y < 4 to not be evaluated?(x >= 7) (y < 4)678No such value
The value of x that results in short circuit evaluation, causing (y < 4) not to be evaluated, is any value that is greater than or equal to 7.
Short Circuit Evaluation is a concept in computer programming where certain expressions are evaluated only if necessary.
In this case, the expression (x >= 7) (y < 4) 678, we need to find the value of x that results in short circuit evaluation and causes (y < 4) not to be evaluated.
In this expression, the first expression (x >= 7) is evaluated first. If the value of x is greater than or equal to 7, then the expression is considered true and the evaluation process moves to the next expression (y < 4).
However, if the value of x is less than 7, then the expression is considered false and the evaluation process stops.
In this case, (y < 4) is not evaluated because the result of the expression is already known to be false, and therefore, evaluating it would be a waste of resources.
If x is less than 7, then (y < 4) will be evaluated. It is important to keep in mind that short circuit evaluation is a technique used to optimize the evaluation process and make it more efficient.
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in a study to determine whether miles driven is a good predictor of trade-in value, 11 cars of the same age, make, model, and condition were randomly selected. the following scatterplot shows trade-in value and mileage for those cars. five of the points are labeled a, b, c, d, and e, respectively. the figure represents a scatter plot in the coordinate plane with 11 data points, several of which are labeled with the letters a through e. the vertical axis is labeled miles driven, in thousands, and the numbers 50 through 100, in increments of 10, are indicated. the vertical axis is labeled value, and the numbers 4000 dollars through 6500 dollars, in increments of 500, are indicated. the values represented by the data points are as follows. note that all values are approximate. point 1, which is labeled as point a. 51 comma 6200.point 2. 60 comma 5700.point 3. 61 comma 6400.point 4, which is labeled as point b. 62 comma 5700. point 5, which is labeled as point c. 68 comma 5400.point 6. 72 comma 5800.point 7, which is labeled as point d. 83 comma 4700.point 8. 98 comma 4600.point 9. 99 comma 4400.point 10. 92 comma 4200.point 11, which is labeled as point e. 96 comma 6500. which of the five labeled points is the most influential with respect to a regression of trade-in value versus miles driven?
Step-by-step explanation:
and a line going from the point 0 comma 100 through the point 2 comma 120
Question 6(Multiple Choice Worth 2 points)
(Graphing Linear Equations MC)
Which graph represents the equation y equals one half times x minus 1?
graph of a line passing through the points negative
two players a and b claim they are better suppose 30 games and 25 games what is h0
Null hypothesis: equal skill levels for both players, difference in wins due to chance.
What is null hypothesis ?
The null hypothesis is a characteristic arithmetic theory suggesting that no statistical relationship and significance exists in a set of given, single, observed variables between two sets of observed data and measured phenomena.
The null hypothesis is typically expressed mathematically as:
H0: pA - pB = 0
where pA and pB are the true winning percentages of players A and B, respectively.
In this case, the null hypothesis is that the two players have equal skills and any difference in the number of games won is simply due to chance, not due to any real difference in ability between the two players.
Null hypothesis: equal skill levels for both players, difference in wins due to chance.
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Let X and Y be discrete random variables with joint probability function f(x, y) = (x2 + 3xy) 5 10 for (x,y) = (0,0), (0, 1), (1,0), (1,1) otherwise What is the marginal probability function for Y? a. y=1 fy(y) = 0 otherwise b. 50 = { variere 50 = { fy(y) = 3 y=1 otherwise c. y=0 fy(y) = TA y=1 otherwise d. y=0 fy(y) = Ey=1 otherwise e. y=0 fy(y) = x2 + 3x y=1 otherwise
The marginal probability function for Y is (c) (c) y=0 fy(y) = 1/2 y=1 fy(y) = 35/10 otherwise.
The marginal probability function for Y is calculated by summing the joint probabilities over all possible values of X for a given value of Y. Hence,
fy(0) = f(0,0) + f(1,0) = (0^2 + 300) * 5/10 + (1^2 + 310) * 5/10 = 0 + 5/10 = 1/2
fy(1) = f(0,1) + f(1,1) = (0^2 + 301) * 5/10 + (1^2 + 311) * 5/10 = 15/10 + 20/10 = 35/10
Therefore, the correct answer is (c) y=0 fy(y) = 1/2 y=1 fy(y) = 35/10 otherwise.
Correct Question :
Let X and Y be discrete random variables with joint probability function f(x, y) = (x2 + 3xy) 5 10 for (x,y) = (0,0), (0, 1), (1,0), (1,1) otherwise What is the marginal probability function for Y? a. y=1 fy(y) = 0 otherwise b. 50 = { variere 50 = { fy(y) = 3 y=1 otherwise c. y=0 fy(y) = 1/2 y=1 fy(y) = 35/10 otherwise d. y=0 fy(y) = Ey=1 otherwise e. y=0 fy(y) = x2 + 3x y=1 otherwise
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Determine the intercepts of the line. − 7 x − 6 y = − 15
The intercepts of the linear function in this problem are defined as follows:
x - intercept: (15/7, 0).y - intercept: (0, 5/2).How to obtain the intercepts of a function?The function for this problem is defined as follows:
-7x - 6y = -15.
The x-intercept of the function is the value of x when y assumes a value of 0, hence:
-7x = -15
7x = 15
x = 15/7
x = 2.1429.
The y-intercept of the function is the value of y when x assumes a value of 0, hence:
-6y = -15
6y = 15
y = 15/6
y = 5/2
y = 2.5.
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Peter scored 40 goals at soccer practice his ratio of goals to misses was 5:7 how many times did he miss
The number of times that he misses will be 56.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
Peter scored 40 goals at soccer practice his ratio of goals to misses was 5: 7.
Let 'm' be the number of miss. Then the equation is given as,
40 / m = 5 / 7
Simplify the equation, then we have
40 / m = 5 / 7
8 / m = 1 / 7
m = 7 x 8
m = 56
The number of times that he misses will be 56.
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In the figure, ABC is a right angled triangle and angle BAC = 90°. If AD perpendicular to BC and BD=DC then prove that BC² = 4AD².
2
SEE ANSWERS
A family buys 4 airline tickets online. The family buys travel insurance that costs $19 per ticket. The total cost is $752. Let x represent the price of one ticket. What is the price of one ticket?
The price of the ticket is $169.
Travel insurance
$19 per ticket
Total cost
$752
x = price of the ticket
Equation for the total cost
752 = 4(x+19)
x + 19 = 752/4
x + 19 = 188
x = 188 - 19
x = $169
Please show all your work. I will give brainiest if done.
The Takac Family decided to join an online music membership site where they can download individual songs, or entire albums and get them at discount prices. Anna downloaded 5 individual songs and 1 album and paid $14.90. Owen downloaded 3 individual songs and 2 albums and paid $21.75.
Mrs. T was a little upset when these charges came up on her bank statement, so she wanted to know how much they were actually being charged for each individual song that was downloaded and for each full album that was downloaded.
Can you help?
Set up an solve a system of equations that models this situation. Be sure to explain what each of your variables represents and also give a detailed explanation of what your solution represents in the context of this situation.
Do you think this membership site is a good deal?
Show all the work using the RACE to display your solution and make sure to answer all that the problem asks for. Scan and upload below.
a) A system of equations that models this situation and helps Mrs. T to know how much the family is being charged for each individual song and each full album downloaded is:
5x + y = 14.903x + 2y = 21.75.b) From the solution of the simultaneous equations, we can determine that each individual song downloaded costs $1.15 while each full album costs $9.15.
What is a system of equations?A system of equations is two or more equations or simultaneous equations, solved concurrently.
Individual Songs Album Total Costs
Anna's download 5 1 $14.90
Owen's download 3 2 $21.75
Let individual songs = x
Let Album = y
Equations:5x + y = 14.90... Equation 1
3x + 2y = 21.75... Equation 2
Multiply Equation 1 by 2:
10x + 2y = 29.80... Equation 3
Subtract Equation 2 from Equation 3:
10x + 2y = 29.80
-
3x + 2y = 21.75
7x = 8.05
x = 1.15
= $1.15
From Equation 1, substitute x = 1.15 to get y:
5x + y = 14.90
5(1.15) + y = 14.90
5.75 + y = 14.90
y = 9.15
y = $9.15
Check Equation 2:
3x + 2y = 21.75
3(1.15) + 2(9.15) = 21.75
3.45 + 18.3 = 21.75
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Find all real solutions to\[x^2 - 12x + 40 = 0.\]
Answer: There are no Raeal Solutions
Step-by-step explanation:
1. Once you use the quadratic formula, you'll simply get an imaginary value as the value within the square root will be negative.
Use the image below to answer questions 3 and 4.
What is the value of x?
Answer: x =
Answer:
x=18
Step-by-step explanation:
if six of the homes are new and four have previously been occupied and if the six homes to visit are randomly chosen, what is the probability that all six are new? (the same answer results regardless of whether order is considered.)
The probability that all six homes visited are new is (3/5)^6.
There are a total of 6 + 4 = 10 homes, of which 6 are new and 4 have been previously occupied.
The probability of choosing a new home in one draw is 6/10 = 3/5.
To find the probability that all six homes visited are new, we can multiply the probability of choosing a new home in each of the six draws:
(3/5) * (3/5) * (3/5) * (3/5) * (3/5) * (3/5) = (3/5)^6
So, the probability that all six homes visited are new is (3/5)^6.
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Find each hyperbola’s general form.
For the hyperbola [(x - 3)²/16 - (y + 1)²/4] = 1 -
The general form - x² - 6x - 4y² - 8y - 11 = 0
Centre - (3,-1)
Vertices - (7,-1) and (-1,-1)
Foci - (3 + 2√5 , -1) and (3 - 2√5 , -1)
Asymptotes - (x - 3)/2 - 1 and -(x - 3)/2 - 1
What is a hyperbola?
One sort of smooth curve that lies in a plane is called a hyperbola, and it has two connected components or branches that are mirror reflections of one another and seem like two infinite bows. A set of points is referred to as a hyperbola if the difference between their distances from two foci is constant.
The given equation is - [(x - 3)²/16 - (y + 1)²/4] = 1
The equation of a hyperbola is [(x - h)²/a² - (y - k)²/b²] = 1, where (h,k) is the centre, a and b are the lengths of the semi-major and the semi-minor axes.
In the equation h = 3, k = -1, a = 4 and b = 2.
The standard form is [(x - 3)²/4² - (y + 1)²/2²] = 1.
The vertex form is [(x - 3)²/16 - (y + 1)²/4] = 1.
The general form is x² - 6x - 4y² - 8y - 11 = 0.
The vertices of hyperbola is given as (h+a,k) and (h-a,k) which are the two bending points of the hyperbola with centre (h,k).
Vertices = (3+4,-1) and (3-4,-1)
Vertices = (7,-1) and (-1,-1)
For a right-left facing hyperbola, the Foci (focus points right) are defined as (h+c,k) and (h-c,k) where c = √(a² + b²) is the distance from the center (h,k).
c = √(4² + 2²)
c = √16 + 4
c = √20
c = 2√5
So the foci is -
Foci = (3 + 2√5 , -1) and (3 - 2√5 , -1).
The asymptotes are the lines the hyperbola tends to at ±∞.
For right-left hyperbola the asymptotes are y = ± b/a(x - h) + k.
y = ± 2/4(x - 3) + -1.
y = (x - 3)/2 - 1 and -(x - 3)/2 - 1
Therefore, the graph for the hyperbola is plotted.
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The box-and-whisker plot below represents some data set. What percentage of the data values are greater than 45?
50% of the data values are greater than 45, it is calculated using the concept of box-whisker plot.
What is the box-and-whisker plot?An illustration of the variation in a set of data is called a box and whisker plot. A histogram analysis usually gives an adequate display, but a box and whisker plot can add more detail while enabling the display of different sets of data in the same graph.
Given the box-and-whisker plot below represents some data sets,
In light of the above, the box-whisker plot reflects a particular data set. There is a number 45 right next to it, and a vertical line next to it indicates that 45 is the median of the data and that 45 is the 50th percentile in this case.
It indicates that 50% of the values are higher than 45 and 50% of the values are less than 45.
Using this technique, we can easily determine the proportion of data for which the value is higher or lower. It aids in data analysis and result interpretation.
Hence 50% of values are greater than 45.
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Suppose that Ford Motor Co. earns $5000 profit each time a person buys a car. We want to determine how the expected profit earned from a customer depends on the quality of Ford’s cars. We assume that a typical customer will purchase 10 cars in a lifetime. The customer will purchase a car now (year 1) and then purchase a car every five years; that is, during year 6, year 11, and so on. Assume that GM is Ford’s only competitor. We also assume that if the customer is satisfied with the purchased car, they will buy the next car from the same company, but if not satisfied, they will buy the next car from the other company. Currently Ford and GM both produce cars that satisfy 85% of its customers. Consider a customer whose first car is a Ford car. If profits are discounted at 12% annually, use simulation to estimate the value of this customer to Ford. Also estimate the value of a customer to Ford if it can raise its customer satisfaction rating to 90%.
Please show in excel format
This is a simulation question and requires calculating the expected profit of Ford over the customer's lifetime based on the customer satisfaction rate and the discount rate.
To estimate the value of a customer to Ford, we need to simulate the customer's purchasing behaviour over their lifetime. To do this, we can use a random number generator to determine whether a customer is satisfied with the car they purchased and whether they will continue to buy from Ford or switch to GM.
The simulation can be repeated several times to get an average value. The expected profit of Ford from a customer can be calculated by multiplying the profit per car by the number of cars the customer is expected to purchase from Ford. The discounted value of this expected profit can then be calculated using the discount rate.
If Ford's customer satisfaction rate is 85%, the expected value of a customer to Ford can be estimated as follows:
1. Simulate the customer's purchasing behaviour for 10 cars over their lifetime, using a random number generator to determine whether the customer is satisfied with the car and whether they will continue to buy from Ford or switch to GM.
2. If the customer is satisfied with their first car (Ford), multiply the profit per car ($5000) by the number of cars the customer is expected to purchase from Ford over their lifetime.
3. If the customer is not satisfied with their first car (Ford), the customer will buy their next car from GM.
4. Repeat the simulation several times and take the average of the expected profits.
5. Discount the expected profit over the customer's lifetime at 12% annually.
If Ford raises its customer satisfaction rate to 90%, the expected value of a customer to Ford can be re-estimated in the same way as described above, with the updated customer satisfaction rate.
It is important to note that this is a simplified model, and the actual value of a customer to Ford may be different based on various other factors such as market conditions, competition, and customer behaviour.
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if u(x,t) is known, give an expression for the total thermal energy in a rod (0 ≤x ≤l).
The expression for the total thermal energy in the rod from
0 to L by the following equation. This equation is the solution.
[tex]\int_0^{L}cupAdx[/tex].
We are informed that a 1-D rod with a fixed cross-sectional area exists.
A, and we are trying to find the thermal energy between the sites x=0 and x=L.
Thermal energy per unit volume:e(x,t).
However, we do not want to think about the full rod part just yet. We wish to start by taking into account a narrow slice of the rod. We have an easy equation for that if the thermal energy density is constant across the volume.
Slice of a rod being considered: segment between x and x+Δx
Total energy with constant thermal energy density=e(x,t)AΔx
We also know that the temperature u(x,t) and specific heat =c(x) are independent of each other.
This means that we can now introduce the equations for the heat energy per unit mass and the mass density.
heat energy per unit =c(x) u(x,t),
total mass of the thin slice with thickness=AΔx ρ(x)
the total thermal energy in slice =c(x) u(x,t)AΔx ρ(x)
e(x,t)AΔx=c(x) u(x,t)AΔx ρ(x)
e(x,t)=c(x)u(x,t) ρ(x)
the expression for the total thermal energy in the rod from
0 to L by the following equation. This equation is the solution.
[tex]\int_0^{L}cupAdx[/tex]
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Susan Meyer likes to study personality types. The personality types are broadly defined according to four main preferences. Do individuals usually choose similar or different personality types as their friends? The following data gives an indication. Use the data to estimate the probability that a student will have at least 3 similar personality traits in common. Round to four decimal places when necessary.0.40090.31600.35380.0472
The probability that a student will have at least 3 similar personality traits in common with their friends is 0.8802 or 87.98%.
The probability of having at least 3 similar personality traits in common is calculated by taking into account the probability of having 3, 4 or all 4 traits in common.
To do this, Susan uses the formula for finding the probability of a complement event, which is 1 minus the probability of not having at least 3 traits in common.
The probability of not having at least 3 traits in common is found by adding up the probabilities of having 0, 1, or 2 traits in common. This gives us a total probability of
=> 0.4009 + 0.316 + 0.3538 + 0.0472 = 0.1198.
The probability of having at least 3 traits in common is then found by subtracting this value from 1, which gives us a probability of
=> 1 - 0.1198 = 0.8802.
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the average package of Oreos has 51 cookies. If there are 3 rows of Oreos in each package,how many cookies are in each row? what if there were four rows of cookies how many cookies would be in a package
Answer:
1/ 17 cookies in each row
2/ 68 cookies in a package
Step-by-step explanation:
We know
The package of Oreos has 51 cookies
1/
If there are 3 rows of Oreos in each package, how many cookies are in each row?
51 / 3 = 17 cookies
So, there are 17 cookies in each row.
2/
If there were four rows of cookies, how many cookies would be in a package?
We know each row has 17 cookies
17 x 4 = 68 cookies
So, there are 68 cookies in a package.
what the answer for 18k+22p-10
Answer:
92
Step-by-step explanation:
43. At the beginning of the month, Emika had $24 in her school cafeteria account. The table below
shows how her account balance changed over the course of three weeks. (Positive change means
money she added into her account, while negative change means money she spends.)
1.
2
Week
1
2
3
Beginning
Balance
($)
24
8
-18
Final
Balance
($)
8
-18
Change
($)
16
26
-12
Expression to show your work
24-16 = 8
8-26-18
-18--12-6
Complete the table for weeks 2-3.
How much would Emika have to deposit into the account during week 4 so that the final
balance is positive?
Answer:
$6
Step-by-step explanation:
Week 4 Beginning Balance: -6
Final Balance: ?
Change: ?
Emika would need to deposit at least $6 into her account during week 4 in order for the final balance to be positive.
A chain of gyms has 3.5×105 members throughout the U.S. Their total annual revenue from membership fees is 4.2×107 dollars. Assuming each member pays the same amount, what is the annual membership fee per person?
Write your answer in standard form. Do not use exponents.
The annual membership fee per person is 120 dollars.
What is scientific notation?In scientific notations numbers are written in the form of a base that is
0 ≤ b < 10 and multiplied by 10ⁿ where n represents integers.
We write large standard numbers in scientific form in a compact manner.
Given, A chain of gyms has 3.5×10⁵ members throughout the U.S. Their total annual revenue from membership fees is 4.2×10⁷ dollars.
Therefore, The annual membership fee per person is,
= (4.2×10⁷)/(3.5×10⁵).
= 1.2×10².
= 1.2×100
= 120 dollars.
learn more about scientific notations here :
https://brainly.com/question/18073768
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Please answer this: !! (50 points)
Answer: Lower bound: 25°C
Upper bound: 26°C
Step-by-step explanation:
PLS MARK BRAINLIEST IF U CAN !!
