21 days before I had both the lessons together.
For the occurrence of two events at the same time we will find the least common multiple.
If I have piano lessons on every 7th day and tuba lessons on every 3rd day,
Least common multiple of 3 and 7 will be,
Multiples of 3 = 1 × 3
Multiples of 7 = 1 × 7
Least common multiple (LCM) of 3 and 7 = 3 × 7
= 21
Therefore, 21 days before I had both the lessons together.
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How can 6.45 be written as a mixed number?
6.45 written as a fraction is 645/100.
645/100 can also be written as 6 45/100
*proof*
100x6=600
600+45=645
So, therefore
6.45 as a mixed number is 6 45/100.
Hope this helps!
In triangle def, if m∠d is (2x)°, m∠e is (3x − 2)°, and m∠f is (x 8)°, what is the value of x? 29 31 34 59
In triangle def, if m∠d is (2x)°, m∠e is (3x − 2)°, and m∠f is (x + 8)°, then the value of x is 29.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Triangle is DEF
if m∠d is (2x)°, m∠e is (3x − 2)°, and m∠f is (x 8)°
We need to find the value of x.
We know that the sum of three angles of triangle is 180 degrees
m∠d + m∠e + m∠f=180°
2x+3x-2+x+8= 180°
6x+6=180
Subtract 6 on both sides
6x=174
Divide by 6 on both sides.
x=174/6
x=29
Hence, the value of x is 29.
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Ex. 1: Last year, the price of a lawnmower was $358.99. The same model sells
for $329.99 this year. What is the percent change in the price of the
over the 2 years? Round your answer to the nearest tenth.
lawnmower
The percent change in the price of the lawnmower over the 2 years is -8.1%.
Calculating the percentage changeTo find the percent change in the price of the lawnmower over the 2 years, we can use the formula:
percent change = (new value - old value) / old value * 100%
Plugging in the values given in the problem, we get:
percent change = (329.99 - 358.99) / 358.99 * 100%
percent change = -8.1%
Therefore, the percent change in the price of the lawnmower over the 2 years is -8.1%. Note that the negative sign indicates a decrease in price.
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Can someone solve this problem?
Answer: 55°
Step-by-step explanation: Let me know if you need an explanation.
Answer:
X = 55°
Step-by-step explanation:
X = 180° - ( 75 + 50)°
X = 180° - 125°
X = 55°
For the following set of problems, perform the necessary calculations. Show your work.
A) Consider the following set of scores and calculate the sum of scores (∑X) and the mean (M): 8 2 5 7 12 9 11 3 6
B) If you are presented with a sample of n = 12 scores that has a mean of M = 8, what would be the value of ΣX (sum of scores)?
C) If you are presented with a sample of n = 6 scores and you know that five of the scores are each above the mean by one point, where would the sixth score have to be located relative to the mean? Why? Hint: Think of the sea saw.
D) If you are presented with a sample with a mean of M = 8 that has ΣX=56, how many scores are in the sample?
E) You are presented with two samples. One sample of n = 10 scores had a mean of M = 8, and the second sample of n = 5 scores has a mean of M = 2. If the data from the two samples are combined, what is the mean for the combined sample? Hint: Find the sum of scores for each sample first in order to compute the mean for the combined sample.
A) Sum of (Score) ΣX equal to 63 and (Mean)M equal to 7.
B) Sum of Score ΣX equal to 96.
C) On the other side of the seesaw, the sixth score must be one point below the mean.
D)The sample has 7 scores.
E) To get the mean for the combined sample, the scores for each sample added together are 6.
A) Here we have to calculate the sum of scores (ΣX),
Add all of the scores together:
8 + 2 + 5 + 7 + 12 + 9 + 11 + 3 + 6
= 63
We sum up all of the scores and divide by the total number of scores (in this example, 9), which gives us the mean (M):
M = ΣX / n
M = 63 / 9
M = 7
B)The following formula may be used to get the value of X when the sample size (n) is 12 and the mean (M) is 8.
ΣX = M x n
ΣX = 8 x 12 = 96
Therefore, ΣX = 96.
C) The sixth score would need to be one point below the mean to balance the total if we know that the first five scores are all one point above the mean. This is thus because, like a seesaw, the mean represents the point of equilibrium in a group of scores. The seesaw is skewed up on one side if five scores are above the mean; the only way to balance it out is to position the sixth score on the other side, one point below the mean.
D) The following formula may be used to get the total number of scores in a sample with a mean (M) of 8 and a sum (X) of 56 scores:
ΣX = M x n
56 = 8 x n
n = 7
Hence, The sample has 7 scores.
E) The sum of the scores for each sample must first be determined in order to get the mean for the combined sample:
First sample, n = 10, M = 8, and the following:
ΣX1 = M x n
ΣX1 = 8 x 10
ΣX1 = 80
Second sample with n = 5 and M = 2:
ΣX2 = M x n
ΣX2 = 2 x 5
ΣX2 = 10
We just put the two amounts together to obtain the combined sample's overall sum of scores (ΣX):
ΣX = ΣX1 + ΣX2
ΣX = 80 + 10
ΣX = 90
We divide the entire sum of scores by the total number of scores to determine the mean for the combined sample:
M = ΣX / n
M = 90 / (10 + 5)
M = 6
Hence, six is the sample's overall mean.
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Find the volume of the solid below.
Answer: 90 cm cubed
Explanation: The formula for this is you find the area of the face and muliply it by the height of the shape. So 1/2 (4) (3) = 6 x 15 = 90.
Hope it helps
Alexia ran three laps around her neighborhood. Each lap is 1 and StartFraction 3 over 8 EndFraction miles. Which is the best estimate of the number of miles that Alexia ran?
Answer:
4 and 1/8
Step-by-step explanation:
1 and 3/8 is equivalent to 11/8 which is one lap. If she ran 3 laps, you would multiply 11/8 by 3 which would get you 33/8- which is equivalent to 4 and 1/8.
Answer:
The answer is not -1/2
Step-by-step explanation:
I got the answer from the person above and the answer is not -1/2 so do not believe them.
What is the x-intercept of the function graphed below?
Answer:
It should be A.
Step-by-step explanation:
How do you solve SSS theorem?
A SSS (side-side-side) theorem is kind of Congruence rule where two triangles with three congruent sides. So, we can solve it by showing the congruency between two triangles.
Statement: Side-Side-Side (SSS) ,the congruence theorem states that two triangles are congruent if three of their sides are equal to the corresponding sides of the other triangle.
Proof: Given, AB = DE, BC = EF, AC = DF.
To prove: ΔABC ≅ ΔDEF.
We know that the three sides of both triangles are equal in size and length. With both triangles superimposed, DE is placed on AB, EF is placed on BC, and DF is placed on AC. That is, AB = DE, BC = EF, AC = DF. Therefore, we can say that ΔABC ≅ ΔDEF.
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Let A={0
2n
∣n≥0}. A is a language that contains all the strings of zeros, which are multiples of two. Discuss if this language is a regular language or not.
The language A = {0^(2n) | n ≥ 0}, consisting of strings of zeros that are multiples of two, is a regular language and can be described by a regular expression or recognized by a finite automaton.
The language A = {0^(2n) | n ≥ 0}, which contains all strings of zeros that are multiples of two, is a regular language.
A regular language can be recognized or generated by a regular expression, a finite automaton (e.g., deterministic finite automaton or non-deterministic finite automaton), or a regular grammar.
In this case, we can define a regular expression to describe the language A as follows: A = (00)*. This regular expression matches any number of repetitions of the string "00," which corresponds to the multiples of two.
Alternatively, we can construct a finite automaton that recognizes the language A. The finite automaton would have a single initial state with a self-loop on the input symbol "0," indicating that any number of zeros can be traversed, representing the multiples of two
Since the language A can be described by a regular expression or recognized by a finite automaton, we can conclude that it is a regular language.
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Can someone read and answer the question please ?
Answer: the last one
Step-by-step explanation:
Find the equivalent 13÷ 325
Answer:
Step-by-step explanation:
13/325 as a Decimal Expansion
13/325 = 0.04
or
3/325 is a given fraction,
The decimal expansion of 13/325 is 0.04
ExplainingThe given fraction 13/325 can't be represented as a mixed number since the numerator 13 of the given fraction is smaller than the denominator 325
The most common purpose for Pearson correlational is to examine
For Pearson correlation the most common purpose to examine is given by option a. The relationship between 2 variables.
The Pearson correlation is a statistical measure that indicates the extent to which two continuous variables are linearly related.
It measures the strength and direction of the relationship between two variables.
Ranging from -1 perfect negative correlation to 1 perfect positive correlation.
And with 0 indicating no correlation.
It is commonly used in research to examine the association between two variables.
Such as the relationship between height and weight, or between income and education level.
Therefore, the most common purpose of a Pearson correlation is to examine the relationship between 2 variables.
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The above question is incomplete, the complete question is:
The most common purpose for a Pearson correlation is to examine,
a. The relationship between 2 variables
b. Relationships among groups
c. Differences between variables
d. Differences between two or more groups
Find the Constant of Proportionality from the graph below:
Answer:
Not to be rude, but I see no graph, sorry.
Step-by-step explanation:
a) The radius of a circular field is 42 m. Find the perimeter of the field. Also find the length of wire required to fence it with 5 rounds
263.89
263.89*5=1319.45
We are given with the radius of the circular field,
\(r = 42 \: m\)
And, we have to find the perimeter of the field. Also, we have to find the length of the wire required to fence it with 5 rounds:
We know,
Perimeter of a circle = 2πr, where r is the radius of the circle, So let's find the perimeter by using this formula.
\(perimeter = 2\pi r\)
\(perimeter = 2 \times \dfrac{22}{7} \times \: 42 m\)
\(perimeter = 2 \times 22 \times 6 \: m\)
\(perimeter = \boxed{264 \: m}\)
Now, finding the length of the wire which is equals to 5 × Perimeter of the circular field.
\(length \: of \: wire = 264 \: m \times 5\)
\(length \: of \: wire = \boxed{1320 \: m}\)
And we are done !!
#CarryOnLearning.
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2. A box of 25 lightbulbs is shipped to a hardware store,
When it arrives 3 of the bulbs are broken. The hardware
store will order 100 more lightbulbs, which prediction is best
supported by the data?
A. There will be 3 broken bulbs in the shipment
B. There will be 12 bulbs that are not broken
C. There will be 12 broken bulbs
D. There will be 3 bulbs that are not broken
Answer:
c
Step-by-step explanation:
3/25 is equivilant to 12/100, which means that there will most liky be 12 bulbs broken out of 100
pls mark brainliest
hope it helps
A bus drives for 3½ hours at an average speed of 56 mph. How far does the bus drive?
Answer:
196 miles
Step-by-step explanation:
To find the distance that the bus drives, we can use the formula:
distance = rate x time
where rate is the average speed and time is the duration of the trip.
In this case, the average speed of the bus is 56 mph and the duration of the trip is 3 1/2 hours. However, it is easier to work with time in terms of a single unit, so let's convert 3 1/2 hours to 7/2 hours:
3 1/2 hours = (2 x 3) + 1/2 hours = 7/2 hours
Now we can plug in the values into the formula:
distance = rate x time
distance = 56 mph x 7/2 hours
We can simplify by multiplying 56 by 7 and then dividing by 2:
distance = (56 x 7) / 2 = 196 miles
(iv) The area of a rectangle with breadth
5 cm is 30 sq. cm. Find its length and
perimeter.
Answer:
Step-by-step explanation:
if the breadth is 5cm, then you divide 30/5 to get your length since it's length times breadth to get the area, so 6cm for the length
and then it's 2b plus 2l to get your perimeter so
2(5)+2(6)=p
10 plus 12 equals p
22 is your perimeter, 6 is your length
Is 6 divided by 5
=1
Answer:
no, it's 1.2
Step-by-step explanation:
Jane baked 48 cupcakes to sell at a table in a farmer's market. She paid $20.00 to rent the table space at the market and the cost of the ingredients to make the cupcakes was $14.00.
Jane plans to sell all 48 cupcakes individually and for the same price.
If Jane hopes after selling all 48 cupcakes to make at least $100 in profit once she has subtracted the cost of her expenses, then what is the smallest amount she should sell each cupcake for?
$
helppp plz i will mark brainliest
Answer:
You would need to sell each cupcake for at least 2.80$
Step-by-step explanation:
If you sell each cupcake at 2.80$ you will make 134.4$
What are some of the reasons why our bags would differ from the expected distribution?
The reasons why our bags would differ from the expected distribution are sampling error, measurement error, selection bias, quality control issues, human error, environmental factors and external factors
Reasons why our bags would differ from the expected distribution?There are several reasons why the distribution of bags might differ from the expected distribution. Some possible causes include:
1. Sampling error: If the sample size of bags is small, the distribution of bags may not accurately reflect the overall population.
2. Measurement error: If the bags were not measured or counted correctly, the distribution may be affected.
3. Selection bias: If the bags were not selected randomly or if certain bags were excluded from the sample, the distribution may not reflect the true population.
4. Quality control issues: If there were issues with the production of the bags, such as variations in size or weight, the distribution may be affected.
5. Human error: If mistakes were made in the handling, counting, or measuring of the bags, the distribution may not be accurate.
6. Environmental factors: External factors, such as temperature, humidity, or transportation, could cause changes in the weight of bags.
7. External factors: The distribution could also differ because of external factors such as competition, marketing, seasonality, etc.
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Misty correctly determined the equation of the linear function represented by the table of values below to be y = negative 2 x + 9 in slope-intercept form by using the ordered pairs (1, 7) and (2, 5).
x
y
1
7
2
5
3
3
4
1
What would she have gotten for the equation of the linear function if she had used the ordered pairs (2, 5) and (4, 1) instead?
y = negative 4 x + 9
y = negative 4 x + 18
y = negative 2 x + 9
y = negative 2 x + 18Misty correctly determined the equation of the linear function represented by the table of values below to be y = negative 2 x + 9 in slope-intercept form by using the ordered pairs (1, 7) and (2, 5).
x
y
1
7
2
5
3
3
4
1
What would she have gotten for the equation of the linear function if she had used the ordered pairs (2, 5) and (4, 1) instead?
y = negative 4 x + 9
y = negative 4 x + 18
y = negative 2 x + 9
y = negative 2 x + 18
Answer:
y = negative 2 x + 9
Step-by-step explanation:
I took the test, Good Luck :)
Answer:
C
Step-by-step explanation:
y = -2x + 9
justin went to the track at bobcat stadium and performed the 1.5-mile run test to estimate his vo2max. he completed 1.5 miles in 11 minutes and 25 seconds. what is his estimated vo2max? round your answer to the first decimal place.
3Justin's estimated Vo2 max is 25.8(mL*kg*min)
What is Vo2 max ?
The amount (volume) of oxygen used by your body while exercising as hard as you can is referred to as VO2 max. It's a common tool for determining your level of fitness. Knowing your VO2 max can assist you in training for sports, tracking fitness progress, and improving your heart health.
Here using vo2 max fomula 1.5 miles ,
=> VO2 max = 3.5+483/Time
Here Time= 11 min 25 sec = 25/60 = 0.41 min
Then time=11.42 mins. Now,
=> VO2 max = 3.5+ 483/11.41
=> VO2 max = 3.5+42.3
=>VO2 max = 25.8(mL*kg*min)
Hence His estimated Vo2 max is 25.8(mL*kg*min)
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If you have a savings account, contact your bank and find out the interest rate on that account. (If you don’t have your own account, contact a local bank to ask what the interest rate would be if you set up a savings account today.)
a. State the interest rate the bank quoted.
b. Write an exponential growth equation that models the yearly growth if you put $625 in the account and left it there for years.
c. What will be the value of the account in 25 years?
d. Which of the following would result in more money: $625 deposited in your bank at the current interest rate for 6 years, or deposit $625 into a money market account with a 5% rate for 1 year? Show how you determined your answer.
Deposit $625 into a money market account with a 5% rate for 1 year would result in more money.
The interest rate of the bankTo do this, we make use of 1.50% interest rate
The exponential growth equationHere, we have:
Initial, a= 625
Rate, r = 1.5%
The exponential growth equation is
A(t) = a * (1 + r)^t
So, we have:
A(t) = 625 * (1 + 1.5%)^t
Evaluate
A(t) = 625 * 1.015^t
Hence, the exponential growth equation is A(t) = 625 * 1.015^t
The value in 25 yearsHere, t = 25.
So, we have:
A(25) = 625 * 1.015^25
Evaluate
A(25) = 906.84
Hence, the value in 25 years is $906.84
The investment with more money#Investment A
a = 625
r = 1.5%
t = 5
So, we have:
A(5) = 625 * 1.015^5
Evaluate
A(5) = 673.3
#Investment B
a = 625
r = 5%
t = 1
So, we have:
A(1) = 625 * 1.5^1
Evaluate
A(1) = 937.5
By comparison, 937.5 is greater than 673.3
Hence, deposit $625 into a money market account with a 5% rate for 1 year would result in more money.
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For many years after the war, various individuals and groups sought compensation for the internees. The speed of the evacuation forced many homeowners and businessmen to sell out quickly; total property loss is estimated at $1.3 billion, and net income loss at $2.7 billion (calculated in 1983 dollars based on the Commission investigation below).
The Japanese American Evacuation Claims Act of 1948, with amendments in 1951 and 1965, provided token payments for some property losses. More serious efforts to make amends took place in the early 1980s, when the congressionally established Commission on Wartime Relocation and Internment of Civilians held investigations and made recommendations. As a result, several bills were introduced in Congress from 1984 until 1988, when Public Law 100-383, which acknowledged the injustice of the internment, apologized for it, and provided for restitution, was passed. –Documents from the National Archives: Internment of Japanese Americans According to this source, what was the result of the commission?
Check all that apply.
A. The internees did not seek compensation at any point after the war.
B.Payments were made after the 1940s.
C. In the 1980s, a commission held investigations and made recommendations.
D.Nothing resulted from the commission’s findings, and the matter was dropped.
The result of the Commission on Wartime Relocation and Internment of Civilians was C. In the 1980s, a commission held investigations and made recommendations.
What was the Commission on Wartime Relocation and Internment of Civilians?The Commission on Wartime Relocation and the Internment of Civilians reviewed details surrounding the forced relocation and the internment of "aliens."
The commission discovered that the internment badly impacted American citizens and permanent resident aliens.
The commission recommended the payment of compensation to those who suffered the War Relocation.
Thus, the result of the Commission on Wartime Relocation and Internment of Civilians was Option C.
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Help asap! Test Tmr
Number 19
The sοlutiοns are x = 0 and x = ±1.
What is pοlynοmial functiοn?A pοlynοmial functiοn is a functiοn that invοlves οnly nοn-negative integer pοwers οr οnly pοsitive integer expοnents οf a variable in an equatiοn like the quadratic equatiοn, cubic equatiοn, etc. Fοr example, 2x+5 is a pοlynοmial that has expοnent equal tο 1.
A pοlynοmial functiοn can be expressed in the fοrm οf a pοlynοmial. The definitiοn can be derived frοm the definitiοn οf a pοlynοmial equatiοn. A pοlynοmial is generally represented as P(x). The highest pοwer οf the variable οf P(x) is knοwn as its degree. Degree οf a pοlynοmial functiοn is very impοrtant as it tells us abοut the behaviοur οf the functiοn P(x) when x becοmes very large. The dοmain οf a pοlynοmial functiοn is entire real numbers (R).
Let u = x² + 3, then the equatiοn becοmes u² - 7u + 12 = 0.
This quadratic equatiοn can be factοred as (u - 3)(u - 4) = 0.
Therefοre, u = 3 οr u = 4.
Substituting back in fοr u, we get:
Fοr u = 3: x² + 3 = 3 => x² = 0 => x = 0
Fοr u = 4: x²+ 3 = 4 => x² = 1 => x = ± 1
Therefοre, the sοlutiοns are x = 0 and x = ± 1.
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Samir is going to invest $22,000 and leave it in an account for 9 years. Assuming the interest is compounded monthly, what interest rate, to the nearest tenth of a percent, would be required in order for Samir to end up with $38,000?
The interest rate required to get a total amount of $38,000.00 from compound interest on a principal of $22,000.00 compounded 1 times per year over 9 years is 9.0909 % per year.
What is the interest rate?The amount a lender charges a borrower is called an interest rate, and it is expressed as a percentage of the principal, or the loaned amount. Typically, a loan's interest rate is expressed as an annual percentage rate, or APR .
r = n[(A/P)1/nt - 1]
r = 1 × [(38,000.00/22,000.00)1/(1)(9) - 1]
r = 0.0909090
Then convert r to R as a percentage
R = r × 100
R = 0.0909090 × 100
R = 9.0909 %/year
The interest rate required to get a total amount of $38,000.00 from compound interest on a principal of $22,000.00 compounded 1 times per year over 9 years is 9.0909 % per year.
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Answer: 6.1
Step-by-step explanation:
What is the value of the expression -218 - 72 - (-5)?
Answer:
The answer is -285
Step-by-step explanation:
What is the value for x when using algebra tiles to solve
the equation x + 1 =-x+(-5)?
O x= -1
O x=1
O x=2
O x=-3
Answer:
The correct answer is x= - 3
Step-by-step explanation:
the function f(x) = 150,000(.85)^x can be used to determine the number of tickets the houston ballet company will sell over time. what does the 150,000represent?
The function f(x) = 150,000(0.85)^x can be used to determine the number of tickets the Houston Ballet Company will sell over time. In this function, the 150,000 represents the initial number of tickets sold before any time has passed (when x = 0).
It serves as the starting point or baseline for the exponential decay of ticket sales over time. As x increases, the function evaluates the number of tickets sold at a particular time, where each subsequent value of x represents a subsequent unit of time (such as days, weeks, months, etc.). The term (0.85)^x represents the decay factor, as it is less than 1 (0.85). Thus, the function models a situation where ticket sales decrease exponentially over time from the initial value of 150,000.
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