We can rewrite ln(27000) in terms of ln(5) and ln(6) as ln(27000) = 3ln(5) + 3ln(6) by using logarithmic property.
Why are logarithm qualities significant?Due of their connection to exponential functions, logarithmic functions are crucial. Logarithms can be used to examine exponential equations and the properties of exponential functions.
We can use the logarithmic property that says:
log_a(xⁿ) = n×log_a(x)
to break down 27000 into factors that involve 5 and 6.
First, we can write:
27000 = 5³× 6³
When we take the natural logarithm of both sides, we obtain:
ln(27000) = ln(5³ × 6³)
Using the property above, we can simplify this expression as:
ln(27000) = ln(5³) + ln(6³)
Using another logarithmic property that says:
log_a(bⁿ) = c×log_a(b)
we can further simplify the expression:
ln(27000) = 3ln(5) + 3ln(6)
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what is the variance and standard deviation for the number of patients arriving at this hospital with flu-like symptoms between 12:00pm and 12:20pm?
Without any data, we cannot determine the variance and standard deviation for the number of patients arriving at a hospital with flu-like symptoms between 12:00pm and 12:20pm.
To determine the variance and standard deviation for the number of patients arriving at a hospital with flu-like symptoms between 12:00pm and 12:20pm, we would need to know some data about the number of patients arriving during this time period. Without this data, we cannot calculate the variance and standard deviation.
If we were given a sample of data for the number of patients arriving during this time period, we could calculate the sample variance and sample standard deviation using the following formulas:
Sample variance = [(Σx²) - (Σx)² / n] / (n - 1)
Sample standard deviation = √(sample variance)
where Σx² is the sum of the squares of the deviations from the mean, Σx is the sum of the deviations from the mean, n is the sample size.
Alternatively, if we were given the mean number of patients arriving during this time period and the population variance, we could use the following formula to calculate the population standard deviation:
Population standard deviation = √(population variance)
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Kofi bought 4 books at an average price of 2500 if the total cost of 3 books was 6500 find the cost of the fourth books
The cost of the fourth book is 3500. To find the cost of the fourth book, we used the formula Average Price = Total Cost / Number of Items and calculated the cost to be 3500.
Formula: Average Price = Total Cost / Number of Items.Calculation: Since Kofi bought 4 books at an average price of 2500, the total cost of the 4 books must be 4 x 2500 = 10000. Since the total cost of 3 books was 6500, the cost of the fourth book must be 10000 - 6500 = 3500.In conclusion, the cost of the fourth book is 3500. To find the cost of the fourth book, we used the formula Average Price = Total Cost / Number of Items and calculated the cost to be 3500.
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an actress has a probability of getting offered a job after a try-out of 0.15. she plans to keep trying out for new jobs until she gets offered. assume outcomes of try-outs are independent. hint: use a geometric random variable. find the probability she will need to attend more than 5 try-outs.
The probability that the actress will need to attend more than 5 try-outs is approximately 0.478.
Since the outcomes of each try-out are independent,
As per the given information,
Number of try-out is 0.15
probability means the possibilities.
We can model the number of try-outs needed to get an offer as a geometric random variable with the probability of success p = 0.15.
Let X be the number of tryouts needed to get an offer.
Then, X follows a geometric distribution with parameter p=0.15, and the probability of needing to attend more than 5 try-outs is:
[tex]P(X > 5) &= 1 - P(X \leq 5)[/tex]
=[tex]1 - \sum_{k=1}^{5} P(X=k)[/tex]
= 1 [tex]- \sum_{k=1}^{5} P(X=k)[/tex]
= [tex]1 - [(1-p)^0p + (1-p)^1p + (1-p)^2p + (1-p)^3p + (1-p)^4p][/tex]
=[tex]1 - [(1-p)^0p + (1-p)^1p + (1-p)^2p + (1-p)^3p + (1-p)^4p][/tex]
= 0.478
Hence the number of possibility required to attend more than 5 try-outs is approximately 0.478.
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nterpret the values of the mean and standard deviation. (round your answers to four decimal places.) a typical amount poured into a short, wide glass is ml. a typical deviation from the mean amount poured is ml. (b) the mean amount poured into a tall, slender glass for individuals asked to pour 44.3 ml (1.5 ounces) was 51.3167 ml. what do the values of the means for the two types of glasses suggest about the shape of glasses used? the mean amount for a short, wide glass is ---select--- the mean amount for a tall, slender glass. this suggests that individuals tend to pour ---select--- into a short, wide glass compared to a tall, slender glass.
The values of the means for the two types of glasses suggest about the shape of glasses used is 22ml on average.
When it comes to pouring drinks, bartenders are expected to pour a specific amount of liquid into each glass. However, there may be some variation in the amount poured depending on the shape of the glass. In this scenario, we have data on the actual amount poured by bartenders into a short, wide glass when asked to pour 44.3 ml. We will use this data to calculate the mean and standard deviation and interpret their values.
The mean is the average amount poured into the short, wide glass. To find the mean, we add up all the amounts poured and divide by the number of samples. Using the data provided, we get a mean of 57.889 ml, rounded to three decimal places.
However, the mean doesn't tell us the whole story. We also need to consider the standard deviation, which tells us how much the amounts poured vary from the mean.
To calculate the standard deviation, we first need to find the variance. We calculate this by subtracting the mean from each amount poured, squaring the differences, adding them up, and dividing by the number of samples minus one. Using the data provided, we get a variance of 479.716 ml², rounded to three decimal places.
To get the standard deviation, we take the square root of the variance. Using the data provided, we get a standard deviation of 21.904 ml, rounded to three decimal places.
Interpreting the values of the mean and standard deviation, we can say that a typical amount poured into a short, wide glass is 57.889 ml, while a typical deviation from the mean amount poured is 21.904 ml. This means that the amounts poured vary by about 22 ml on average, which could be due to differences in pouring technique or the shape of the glass.
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PLEASE HELP ASAP DUE TODAY
Answer: 1) (0, -3) & 2) (0,0)
Step-by-step explanation:
Find the area of each part of the figure and the whole figure
1) The area of the first figure is 99 square units, 2) Total area = Area of rectangle + Area of triangle = 30 + 6 = 36 square units, 3) Total area = Area of rectangle + Area of triangle = 13.5 + 10.5 = 24 square units.
i) The first figure is a trapezium with height 9 units, bottom base 9 units and top base 13 units.
To find the area of the trapezium, we can use the formula:
Area of trapezium = h/2[a + b]
where h is the height, a and b are the lengths of the parallel sides.
Substituting the given values, we get:
Area = 9/2[13 + 9] = (9 x 22)/2 = 99 square units
Therefore, the area of the first figure is 99 square units.
ii) The second figure is composed of a rectangle with sides 6 and 5 units and a right-angled triangle with base 3 and height 4 units.
To find the area of the rectangle, we can use the formula:
Area of rectangle = length x breadth
Substituting the given values, we get:
Area of rectangle = 6 x 5 = 30 square units
To find the area of the right-angled triangle, we can use the formula:
Area of right-angled triangle = 1/2 x base x height
Substituting the given values, we get:
Area of right-angled triangle = 1/2 x 3 x 4 = 6 square units
Therefore, the total area of the second figure is:
Total area = Area of rectangle + Area of triangle
= 30 + 6 = 36 square units
iii) The third figure is made up of a rectangle with length 9 and breadth 1.5 units and a right-angled triangle with base 6 (9-3) and height 3.5 (5-1.5) units.
To find the area of the rectangle, we can use the formula:
Area of rectangle = length x breadth
Substituting the given values, we get:
Area of rectangle = 9 x 1.5 = 13.5 square units
To find the area of the right-angled triangle, we can use the formula:
Area of right-angled triangle = 1/2 x base x height
Substituting the given values, we get:
Area of right-angled triangle = 1/2 x 6 x 3.5 = 10.5 square units
Therefore, the total area of the third figure is:
Total area = Area of rectangle + Area of triangle
= 13.5 + 10.5 = 24 square units
Thus, the areas of all three figures have been determined.
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Complete question is in the image provided.
Maxine is pre-heating the oven to bake a pie. The temperature of the oven increases at a constant rate.
How long will it take the oven to reach a temperature of at least 375
degrees?
Responses
It will take approximately 12.96 minutes for the oven to reach a temperature of at least 375 degrees.
What is Approximation?
Approximation is the act of estimating or finding a value that is close to the true or exact value, but not necessarily identical to it. In other words, an approximation is a rough calculation or an educated guess that is used when the exact value is not known or is too difficult to calculate. Approximations are commonly used in mathematics, science, engineering, and many other fields where exact values are often difficult to obtain or not required. The level of accuracy of an approximation depends on the method used and the degree of precision needed for the particular situation.
Let's use the information given to find the rate of temperature increase per minute.
Between the first two data points, the temperature increased by 3 degrees in 1 minute. Between the next two data points, the temperature increased by (112.5 - 3) = 109.5 degrees in (5 - 1) = 4 minutes. So the rate of temperature increase is (109.5/4) = 27.375 degrees per minute.
To find out how long it will take the oven to reach 375 degrees, we can use the formula:
time = (final temperature - initial temperature) / rate of temperature increase
In this case, the initial temperature is 3 degrees and the final temperature is 375 degrees. Substituting these values and the rate of temperature increase we calculated earlier, we get:
time = (375 - 3) / 27.375 = 12.96 minutes (rounded to two decimal places)
So it will take approximately 12.96 minutes for the oven to reach a temperature of at least 375 degrees.
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in a particular county of our state, it was revealed that 5% of all automobiles did not pass inspection. of the next ten automobiles entering the inspection station, a. what is the probability that none will pass inspection? b. what is the probability that all will pass inspection? c. what is the probability that exactly two will not pass inspection? d. what is the probability that more than three will not pass inspection? e. what is the probability that fewer than two will not pass inspection?
According to the question, it was revealed that 5% of all automobiles did not pass inspection. Of the next ten automobiles entering the inspection station
a. The probability that none will pass inspection is
P(x = 0) = [tex]^{10}C_{0}(0.05)^{0}(0.95)^{10}[/tex]
P(x = 0) = 0.5987
b. The probability that all will pass inspection is
P(x = 10) = [tex]^{10}C_{0}(0.05)^{10}(0.95)^{0}[/tex]
P(x = 10) = 0.5987
c. The probability that exactly two will not pass inspection is
P(x = 2) = [tex]^{10}C_{2}(0.05)^{2}(0.95)^{8}[/tex]
P(x = 2) = 0.0746
a. The probability that none will pass inspection is 0.001%.
b. The probability that all will pass inspection is 59.87%.
c. The probability that exactly two will not pass inspection is 0.27%.
d. The probability that more than three will not pass inspection is 0.0102.
e. The probability that fewer than two will not pass inspection is 6.48%.
In statistics, probability is the measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, where 0 means that the event is impossible, and 1 means that the event is certain.
In a particular county of our state, it was revealed that 5% of all automobiles did not pass inspection. This means that the probability of an automobile not passing inspection is 0.05, and the probability of an automobile passing inspection is 0.95.
To find the probability of none of the ten automobiles passing inspection, we need to multiply the probability of an automobile not passing inspection by itself ten times since the events are independent. Therefore, the probability of none of the ten automobiles passing inspection is 0.05¹⁰, which is approximately 0.00001 or 0.001%.
To find the probability of all ten automobiles passing inspection, we need to multiply the probability of an automobile passing inspection by itself ten times since the events are independent. Therefore, the probability of all ten automobiles passing inspection is 0.95¹⁰, which is approximately 0.5987 or 59.87%.
To find the probability of exactly two of the ten automobiles not passing inspection, we need to use the binomial distribution formula. The formula is P(X=k) = (n choose k) * p^k * (1-p)^(n-k), where n is the number of trials, k is the number of successes, p is the probability of success, and (n choose k) is the binomial coefficient. Therefore, the probability of exactly two of the ten automobiles not passing inspection is P(X=2) = (10 choose 2) * 0.05² * 0.95⁸, which is approximately 0.0027 or 0.27%.
The complement rule states that the probability of an event occurring is equal to one minus the probability of the event not occurring. Therefore, the probability of more than three of the ten automobiles not passing inspection is 1 - P(X<=3), where P(X<=3) is the probability of three or fewer automobiles not passing inspection.
To find P(X<=3), we can use the binomial distribution formula with k=0,1,2, and 3. Therefore,
P(X<=3) = P(X=0) + P(X=1) + P(X=2) + P(X=3)
=> (10 choose 0) * 0.05⁰ * 0.95¹⁰ + (10 choose 1) * 0.05¹ * 0.95⁹ + (10 choose 2) * 0.05² * 0.95⁸ + (10 choose 3) * 0.05³ * 0.95⁷, which is approximately 0.9898 or 98.98%.
Therefore, the probability of more than three of the ten automobiles not passing inspection is 1 - 0.9898, which is approximately 0.0102.
To find the probability of fewer than two of the ten automobiles not passing inspection, we need to use the complement rule again. The probability of fewer than two automobiles not passing inspection is the same as the probability of one or zero automobiles not passing inspection.
To find the probability of more than two automobiles not passing inspection, we can use the complement rule again:
=> P(X>2) = 1 - P(X<=2) = 1 - (P(X=0) + P(X=1) + P(X=2)) = 1 - [((10 choose 0) * 0.05⁰ * 0.95¹⁰ + (10 choose 1) * 0.05¹ * 0.95⁹ + (10 choose 2) * 0.05² * 0.95⁸]
which is approximately 0.0648 or 6.48%.
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determine whether the triangles are similar. if so, write a similarity statement. if not, what would be sufficient to prove the triangles similar? explain your reasoning.
If the similar sides and angles of two triangles are proportionate, then the triangles are similar.
We must assess if two triangles have the same shape but perhaps different sizes in order to determine their similarity. The triangles are similar if their corresponding sides are proportionate. The triangles are not comparable if they are not proportionate. We only need to determine whether two triangles' respective sides are proportionate if we are given two triangles and are aware that their corresponding angles are congruent.
In conclusion, in order to establish whether two triangles are comparable, we must look at both the proportionality of the respective sides and the congruency of the corresponding angles. The triangles are similar if both requirements are satisfied, and we can create a similarity assertion by using the matching triangle vertices.
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Chose the expression that is equivalent to the expression below 3(2x-1)
Answer: 6x - 3
Step-by-step explanation:
I believe this question is asking you to expand the equation
Distribute the 3 to both terms on the inside to get: 3(2x -1) = 6x-3
Answer:
Step-by-step explanation:
i believe its 5x?
sorry if im wrong but i times 3 x 2 then 6 -1 or you can do 3 x 2 then 3 x -1 to get 6x and -3
In a certain college, 40% of the senior class students are taking Physics, 30% are taking calculus and 10% are taking both. If 40 students are enrolled in the senior class, how many students are taking neither Physics nor calculus?
Answer:
16 students are taking Physics and 12 are taking calculus
Step-by-step explanation:
40×40%=16 students taking Physics
40×30%=12 students taking calculus
16+12=28
40-28=12 students are taking both
Sue interests $800 in an investment that can be represented by the function m=800(1.08)^t where t is the number of years the money is invested for, and m is the value of the investment in dollars. Enter the average rate or change, rounded to the nearest dollar per year, from year 2 to year 4
[tex]\begin{array}{llll} f(x)~from\\\\ x_1 ~~ to ~~ x_2 \end{array}~\hfill slope = m \implies \cfrac{ \stackrel{rise}{f(x_2) - f(x_1)}}{ \underset{run}{x_2 - x_1}}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array} \\\\[-0.35em] ~\dotfill\\\\ m(t)=800(1.08)^t \qquad \begin{cases} t_1=2\\ t_2=4 \end{cases}\implies \cfrac{m(4)-m(2)}{4 - 2} \\\\\\ \cfrac{800(1.08)^4~~ - ~~800(1.08)^2}{2} ~~ \approx ~~ \cfrac{1088.39-933.12}{2}~~ \approx ~~\text{\LARGE 78} ~~ \frac{\$}{year}[/tex]
There are many ways to save for retirement: putting money away into a treasure chest, purchasing gold nuggets, investing
in real estate, or financial assets. The method that is right for you depends on your income as well as your personal
preferences, such as risk tolerance. You can compare different methods and approximate your savings at retirement to
help you determine the option that best suits your personal needs and preferences. It is a good idea to approximate the
Income you will need at retirement before you start investing. This is where retirement planning becomes important to
consider. How much money do you think you would need to retire by age 67? Which investment options are the most
profitable when saving for retirement?
In this project, you will explore how to construct a retirement plan and consider the various investment options that are
financially beneficial as it pertains to retirement
OBJECTIVES
Construct a retirement plan given a yearly salary.
Compare investment options to determine the most financially beneficial option for a given situation.
VOCABULARY
Inflation rate
the rate of change in prices of a standard basket of consumer products over time
Most profitable investment option for retirement depends on your individual circumstances, such as your risk tolerance, time horizon, and investment goals. It's essential to consult with a financial advisor who can help you create a personalized retirement plan that meets your specific needs and goals.
Why are retirement planning crucial for generating money?Retirement planning is crucial to ensure that you have enough money to live comfortably during your golden years. The amount of money you will need in retirement depends on several factors, including your lifestyle, health, and expected lifespan.
However, a general rule of thumb is that you should aim to have saved 10-12 times your current annual income by the time you retire. Assuming a retirement age of 67, if you earn $50,000 per year, you would need to have saved between $500,000 and $600,000 by the time you retire. This amount may vary depending on your specific circumstances, such as your expected retirement lifestyle, expected lifespan, and anticipated expenses.
Which investment options are the most profitable when saving for retirement?When it comes to investment options for retirement, there are several options that can be financially beneficial. Some of the most profitable investment options for retirement include:
401(k) plans: A 401(k) plan is an employer-sponsored retirement plan that allows employees to contribute pre-tax dollars towards retirement savings. Traditional IRAs: A traditional IRA is an individual retirement account that allows you to contribute pre-tax dollars towards retirement savings. Roth IRAs: A Roth IRA is an individual retirement account that allows you to contribute after-tax dollars towards retirement savings. Mutual funds: Mutual funds are a type of investment that pools money from multiple investors to purchase a diversified portfolio of stocks, bonds, or other securities.Read more about retirement planning
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Which of the following statements about JK and JL is true?
T
8
7
6
-5
y
4
3
2
1
-1
J(2,4)
2 3 4 5
L(1,-1)
K(7.8)
6 7 8
The true statement about JK and JL is, JK is longer than JL
What are comparison in math?The process of comparison reveals the shared characteristics of several objects. This is the fundamental idea in mathematics that guides our descriptions of whether two numbers are equal, one is more than, one is less than, or both are equal. Comparing fractions, decimals, and rational numbers are all possible.
The coordinates of the point are:
J (2, 4)
K (7, 8)
L (1, -1)
The distance between two points is given by the formula:
D = √(x2 - x1)² + (y2 - y1)²
The distance between JK is:
JK = √(7 - 2)² + (8 - 4)
JK = √25 + 16 = √41 = 6.40
The distance between JL is:
JL = √(1 - 2)² + (-1 - 4)²
JL = √1 + 25 = √26 = 5.09
Hence, the statement about JK and JL is, JK is longer than JL.
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The complete question is:
Estimate the depth d of the crater to the nearest tenth.
The depth d of the crater is 714 m. The solution has been obtained by using trigonometry.
What is trigonometry?
The area of mathematics known as trigonometry is concerned with the study of the sides, angles, and connections of the right-angle triangle.
We are given a figure which shows that the sun's rays are falling at an angle of 55° and the base is given as 500 m.
Using trigonometry,
We know that tan theta = opposite side/ adjacent side
So,
⇒tan θ = d/500
Here, θ = 55°
So,
⇒tan 55° = d/500
⇒x = 500 tan 55°
⇒x = 500 * 1.428148
⇒x ≈ 714.074
⇒x ≈ 714 m
Hence, the depth d of the crater is 714 m.
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Which renames 5/12and3/8 using a common denominator
Common denominator of 5/12 and 3/8 is 24.
To rename 5/12 and 3/8 using a common denominator, we need to find the least common multiple (LCM) of the denominators 12 and 8, which is 24.
To convert 5/12 to an equivalent fraction with a denominator of 24, we can multiply both the numerator and denominator by 2 to get:
5/12 = (5 x 2)/(12 x 2) = 10/24
To convert 3/8 to an equivalent fraction with a denominator of 24, we can multiply both the numerator and denominator by 3 to get:
3/8 = (3 x 3)/(8 x 3) = 9/24
So, 5/12 and 3/8 can be renamed as 10/24 and 9/24, respectively, using a common denominator of 24.
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2 − 2n = 3n + 17
CAN SOMEONE HELP ME
[tex] \: [/tex]
[tex] \frak{ - 2n - 3n = 17 - 2}[/tex][tex] \: [/tex]
[tex] \frak{ - 5n = 15}[/tex][tex] \: [/tex]
[tex] \frak{n = \cancel\frac{15}{ - 5} }[/tex][tex] \: [/tex]
[tex] \underline { \boxed{ \frak{ \red{n = - 3}}}}[/tex][tex] \: [/tex]
hope it helps! :)
━━━━━━━━━━━━━━━━━━━━━━━━━━
Answer:
[tex] \sf \: n = - 3[/tex]
Step-by-step explanation:
Now we have to,
→ Find the required value of n.
The equation is,
→ 2 - 2n = 3n + 17
Then the value of n will be,
→ 2 - 2n = 3n + 17
→ 2 - 17 = 3n + 2n
→ -15 = 5n
→ 5n = -15
→ n = -15 ÷ 5
→ [ n = -3 ]
Hence, the value of n is -3.
pls help me i dont understand
Answer:
y+3=-3/4(x+4)
Step-by-step explanation:
the formula is
y-y1=m(x-x1)
y1 is -4 and x1 is -3 and m is slope
when the x or y is a negitive it then is added
5c−3d+115, c, minus, 3, d, plus, 11 when c=7c=7c, equals, 7 and d=8d=8d, equals, 8.
The value of the expression 5c−3d+11 is 22 when c is 7 and d is 8.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 5c−3d+11
Five c minus three times of d plus eleven.
c and d are the variables in the expression
Given that value of c is seven and value of d is eight
c=7 and d=8
Now we have to find the value of the expression when c is 7 and d is 8
Plug in the value of c and d in expression.
5(7)-3(8)+11
Five times seven is 35 and three times of eight is 24, we get
35-24+11
22
Hence, the value of the expression 5c−3d+11 is 22 when c is 7 and d is 8.
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Complete question is given below,
5c−3d+115, find the value of expression when c=7 and d=8
Armer Brown harvested 245 oranges . He packed them into bags holding 20, 10 and 5 oranges if he used and equal number of each bag jow many bags did he use in all? Show working
If Armer Brown used and equal number of each bag then there will be 21 bags.
What is algebraic expression?
When we use numbers and words to solve a mathematical problem, we are using algebraic expressions.
Let's say that Armer Brown used x bags holding 20 oranges, y bags holding 10 oranges, and z bags holding 5 oranges. We know that he harvested 245 oranges, so we can write an equation:
20x + 10y + 5z = 245
We also know that he used an equal number of each bag, so we can write another equation:
x = y = z
We can use the second equation to substitute y and z with x:
20x + 10x + 5x = 245
Simplifying this equation, we get:
35x = 245
Dividing both sides by 35, we get:
x = 7
So he used 7 bags holding 20 oranges, 7 bags holding 10 oranges, and 7 bags holding 5 oranges.
In total, he used: 7 + 7 + 7 = 21 bags.
Therefore, There will be 21 bags.
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How so i graph this ans what is thr solution.
The system of equations has a unique solution. The solution of the system of equations is (-3,4).
What is the system of equations?
Simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.
Given equations are
y = x + 7 ......(i)
y = -7/3x - 3 ......(ii)
Putting x = 0 in equations (i) and (ii):
y = 0 + 7
y = 7
y = -7/3 × 0 - 3
y = -3
Putting x = 3 in equations (i) and (ii):
y = 3 + 7
y =10
y = -7/3 × 3 - 3
y = -10
Putting x = -3 in equations (i) and (ii):
y = -3 + 7
y = 4
y = -7/3 × (-3) - 3
y = 4
The points in equation (i) are (0,7), (3,10), (-3,4)
The points in equation (ii) are (0,-4), (3,-10), (-3,4)
Plot the points and join the points:
The intersection of the equation is (-3,4).
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Porsches are cars that are known to retain their value.
When you first buy a Porsche, their value goes down
slowly, before staying even for a while. Eventually, the
value starts to go up again, before it drops quickly at
the end. Draw a graph showing the value of a Porsche
over time. At which part of the graph is the line
horizontal?
The graph of the function is horizontal when the value of the Porsche stays even.
How to classify the function as increasing, decreasing or constant?The function is increasing when the graph moves right and up.The function is decreasing when the graph moves right and down.The function is constant when the graph of the function is an horizontal line.Staying even means that the value of the car does not change, hence it is constant.
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CAN SOMEBODY HELP ME ASAPPP
When the input of the function is -3, the output of the function is -4
How to determine the output valuefrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we have the following reading at x = -3
(x, y) = (-3, -4)
This means that when x = -3, the value of y is -3
So, the conclusion is that
An input of -3, gives an output of the function is -4
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What are some similarities between sales tax and hotel tax? Select all that apply
Some of the similarities between sales tax and hotel tax include the following:
B) Both must be paid in advance when you make a hotel reservation.
C) Both are based on a percentage of the original cost.
What is taxation?
Taxation can be defined as the involuntary fees that are levied on individuals or business firms by the government of a particular country, so as to generate revenues that can be used to fund public projects, institutions and activities.
The types of tax.
In Economics, there are different types of tax that are levied on individuals or business firms by the government and these include the following:
Hotel tax
Sales tax
Property tax
Income tax
we can reasonably infer and logically deduce that both sales tax and hotel tax must be paid in advance when making a hotel reservation in the United States of America.
Hence, Some of the similarities between sales tax and hotel tax include the following:
B) Both must be paid in advance when you make a hotel reservation.
C) Both are based on a percentage of the original cost.
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The complete question is given below:
What are some similarities between sales tax and hotel tax? Select all that apply. Multiple select question. cross out A) Both are an additional amount one must pay. cross out B) Both must be paid in advance when you make a hotel reservation. cross out C) Both are based on a percentage of the original cost. cross out D) Both the sales tax and the hotel tax are equal when you stay in a hotel. cross out E) Both represent a guest fee that hotels charge their customers.
The apothem is the perpendicular distance from the _____ of a regular polygon to any one of its sides. center.
The apothem is perpendicular distance from the center of a regular polygon to any one of it sides.
The Apothem is defined as a term that used in geometry to describe a characteristic feature of a regular polygon.
A Regular Polygon is a polygon that has all sides of equal length and all angles of equal measure.
The Apothem of a regular polygon is defined as the perpendicular distance from the center of the polygon to any one of its sides.
The Center of circle is also the center of polygon. So , apothem is the distance from the center of the circle to the midpoint of any side of the polygon .
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The given question is incomplete , the complete question is
The apothem is the perpendicular distance from the _____ of a regular polygon to any one of its sides.
Students at the college
answer:
Huh?
Step-by-step explanation:
students at the college what...?
Compare the two ratios by entering >, <, or = in the box. 1:8 3:4
[tex] \frac{1}{8} < \frac{3}{4} [/tex]
a population of 100 frogs increases at an annual rate of 22%. after how many years will the population of the frogs double?
The population of the frogs will be double after 4 years when the current number of frogs were 100 and the annual rate of increment is 22%.
In the given question,
the current population of frogs are: 100
Annual rate of increase in population of frogs = 22%
Population required = double the current population = 2 x 100
= 200
Using the compound interest formula for amount, we can calculate the number of years in which the population of the frogs will be double:
Amount = principal ((1 + r%)^n) ,
here we will consider the amount to be population required, principal will be the current population, r is the annual rate of increment, and n is the time in years.
200 = 100 ((1 + 0.22) ^ n)
⇒ 200/100 = (1.22)^n
⇒ 2 = (1.22) ^ n
We plug digits in place of n and check for the closest result as 2.
We observe that (1.22)^4 = 2.2153 ≈ 2
Hence, we can say that the population of the frogs will be double after 4 years.
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Could someone help me please??
Answer:
0.32958 kilometers per minute
Step-by-step explanation:
Distance covered = 26.219 miles
Step 1: Convert this distance to kilometers using the conversion( 1mi = 1.609 km)
==> 26.219 miles = 26.219 miles x 1.609 km/mile = 42.186371 km
This distance was covered in 128 minutes
Step 2: To find the speed in km/min, divide 42.186371 by 128
= 42.186371/128
= 0.32958 kilometers per minute
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We could also solve this problem using the following alternative technique
Step 1 Determine speed in miles/minute = 26.219/128 = 0.2048 m per min
Step 2: Multiply by conversion factor 1.609:
0.2048 x 1.609 = 0.32958 kilometers per minute
If A, B, C, and D, are the only possible outcomes of an experiment, find the probability of D using the table below.
Answer:
D. 8/11
Step-by-step explanation:
why ?
the sum of the probabilities of all possible outcomes of an experiment must always be 1.
because there always has to be an outcome - one of the many possibilities.
the reality has to be part of this list of possibilities, and so, their total sum is 1 : the sure event.
the probability of A is 1/11.
of B is 1/11.
of C is 1/11.
A + B + C + D = 1
1/11 + 1/11 + 1/11 + D = 1
3/11 + D = 1
D = 1 - 3/11 = 11/11 - 3/11 = 8/11
