Answer:
28 cmStep-by-step explanation:
The area of a square is 49 cm2. What is the perimeter, in cm, of the square?
first we use the inverse formula to find the side (√49 = 7), then multiply the side by 4 (7 x 4 = 28)
or you can use an expression
4 * √49 = 28
At a school there are five lessons in a day in total the five lessons last 4 hours assume that each session lasts the same amount of time how many minutes long is the final lesson
Answer:
48 minutes long
Step-by-step explanation:
For a total amount of minutes the lessons are, take 4x60. 4 for the total time in the lessons and 60 for 60 minutes in an hour. 4x60= 240 minutes.
Take 240/5. 240 is the total number of minutes and with the five lessons being the same amount of time, you divide the total number of minutes by the number of lessons. 240/5= 48 minutes
A woman making $32,000
a year receives a cost-of-living increase that raises her salary to $32,768
per year. Find the percent of increase in her yearly salary.
Percentage increase= $768÷32000=0.024
=0.024×100=2.4%
Find the equation of line passing through the points A(-1,3) and B(0,2). Hence show that the points A,B and C (1,-1) are collinear.
A line passes through A( - 1 , 3) & B(0 , 2).
Prove:A , B , C(1 , 1) are collinear.
Proof:We know that,
Slope of a line passing through the co - ordinates (x₁, y₁) and (x₂ , y₂) is :
m = (y₂ - y₁)/(x₂ - x₁)
Let,
x₁ = - 1 x₂ = 0 y₁ = 3 y₂ = 2Hence,
→ m = (2 - 3)/( 0 - ( - 1))
→ m = - 1/1
→ m = - 1
Now,
Equation of a line ⟹ y - y₁ = m (x - x₁)
Putting the values we get,
→ y - 3 = - 1(x - ( - 1))
→ y - 3 = - x - 1
→ y + x = - 1 + 3
→ x + y = 2
Hence, the equation of the line is x + y = 2.
Now,
we have to prove that,
A , B , C are collinear.
If three points are collinear then the area of the triangle formed by them will be zero. Three points are collinear if the slope of line passing through the line segment are equal.i.e.,
Slope of AB should be equal to Slope of BC.
We have;
Slope of AB = - 1.
→ - 1 = ( 1 - 2)/(1 - 0)
→ - 1 = - 1/1
→ - 1 = - 1
Hence, A , B , C are collinear points.
I hope it will help you.
Regards.
I have another question I'm struggling with. How do I solve to find the missing angle?
Answer:
\(23465459544 + 44492711 = 597595855122256.56114163174112113 \leqslant \leqslant \geqslant yhy \times \frac{?}{?}kwwkjuujsjkoodji \beta \pi \beta \cos(2216 {59 \times \tim3.5es - = 6 \\ \\ 53 \times }^{2} ) \)
francisco and meredith are 230 feet apart when they start walking toward one another. they are walking at the same speed, so whenever francisco travels some number of feet, meredith travels the same number of feet. let x x represent the number of feet francisco has traveled since he started walking toward meredith. write an expression in terms of x x that represents the number of feet francisco has walked toward meredith since they started walking. preview write an expression in terms of x x that represents the number of feet meredith has walked toward francisco since they started walking. preview write an expression in terms of x x that represents the total number of feet francisco and meredith have walked toward one another since they started walking. preview write an expression in terms of x x that represents the distance (in feet) between francisco and meredith. preview
Francisco and Meredith are walking towards each other, starting 230 feet apart. If Francisco has walked x feet towards Meredith, then Meredith has also walked x feet. The distance between them is 230 - 2x.
Let's call the distance Francisco has walked towards Meredith x.
- The expression for the number of feet Francisco has walked towards Meredith since they started walking is simply x.
- Since Meredith has walked the same number of feet as Francisco, the expression for the number of feet Meredith has walked towards Francisco is also x.
- The total number of feet Francisco and Meredith have walked towards one another since they started walking is the sum of the distance each of them has traveled towards the other. Since they started 230 feet apart, this can be expressed as:
x + x = 2x
- The distance between Francisco and Meredith is simply the initial distance between them minus the total distance they have traveled towards each other. This can be expressed as:
230 - 2x
Therefore, the expressions in terms of x are:
- Number of feet Francisco has walked towards Meredith: x
- Number of feet Meredith has walked towards Francisco: x
- Total number of feet they have walked towards each other: 2x
- Distance between Francisco and Meredith: 230 - 2x
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5) Carmen bought a movie for $18.60. The next day the movie was selling
for $20.30. What was the percent of change?
Yoko sold a t-shirt at a festival and made a profit of $71. she made $4 for each t-shirt she sold. her total expense were $25 h.ow many t-shirts did she sell (please answer both A and B)
Lets say she sold x no of T shirt
she $4 for each T shirt
for x no. of T-shirt she made 4x , and her expenses were $25
but her $71 her profit , so from above condition,
we can write the equation 4x - 25 = 71
adding 27 from both sides, we get,
4x = 71 + 25 = 96.
dividing by 3 on both sides,
x = 96/ 4 = 24
she sold 24 T - shirts.
This is the last question i have today pls help
Answer:
k = 4
Step-by-step explanation:
well... i see many mistakes..
first it would have been easier to add 2k to the other side and then add +1 to the other side giving you
20 = 5k then you divide by 5 giving you k =4 :)
The local gym is offering this new promotion: An enrollment fee of $40 and a monthly fee of $30. Which of the following expressions represents the cost of the gym membership for m months?
40+30m=c40 plus 30 m is equal to c
30+40m=c30 plus 40 m is equal to c
40+30m40 plus 30 m
30+40m
The expression 40 + 30m = c represents the cost of the gym membership for m months option (A) 40 + 30m = c is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that:
The local gym is offering this new promotion:
An enrollment fee of $40 and a monthly fee of $30.
Let m be the total number of months
Total monthly fee = 30m
Total cost(including the enrollment fee of $40) = 40 + 30m
Let the total cost is c:
c = 40 + 30m
If in the linear expression, one variable is present, then the bis known as the linear expression in one variable.
Thus, the expression 40 + 30m = c represents the cost of the gym membership for m months option (A) 40 + 30m = c is correct.
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Lightbulbs act as resistors. Janine is building a circuit that contains two lightbulbs in parallel. One of the lightbulbs has a resistance of 120 ohms, but the resistance of the second lightbulb is unknown. She models the total resistance in the circuit, t, with this equation, in which r represents the resistance of the second lightbulb. T = 120 r r + 120 Find the inverse of Janine’s equation. Big fraction Parentheses Vertical bars Square root Root Superscript (Ctrl+Up) Subscript (Ctrl+Down) Plus sign Minus sign Middle dot Multiplication sign Equals sign Less-than sign Greater-than sign Less-than or equal to Greater-than or equal to Pi Alpha Beta Epsilon Theta Lambda Mu Rho Phi Sine Cosine Tangent Arcsine Arccosine Arctangent Cosecant Secant Cotangent Logarithm Logarithm to base n Natural logarithm Bar accent Right left arrow with under script Right arrow with under script Angle Triangle Parallel to Perpendicular Approximately equal to Tilde operator Degree sign Intersection Union Summation with under and over scripts Matrix with square brackets
Lightbulbs act as resistors. Janine is building a circuit that contains two lightbulbs in parallel. One of the lightbulbs has a resistance of 120 ohms, but the resistance of the second lightbulb is unknown. Therefore, The inverse of Janine's equation is r = -120/(t - 120).
Equation:
An equation is described as a formula that expresses the equality of two expressions, by connecting them with the equals sign. An equation is a formula that expresses that two expressions are equal by joining them with the equal sign =.The word comparison and its cognates in other languages may have subtly different meanings; for example, in French, an equation is defined to contain one or more variables, and in English any well-formed formula composed of two expressions linked by equal signs is an equation.
According to the Question:
In algebra, an equation is a mathematical statement that determines whether two mathematical expressions are equal.
The type of comparison is identity or conditional comparison.
For each potential value, the variable provides an identifier. Only certain combinations of variable values allow conditional comparisons to be true.
In order to find the inverse of Janine's equation, we will to solve for r in terms of t.
First, we can rearrange the equation to get
⇒ t - 120 = 1/r.
divide both sides of the equation by 1/r to get
⇒ t/r - 120/r = 1.
divide both sides of the equation by -120/r to get
⇒ r = -120/(t - 120).
Therefore, the inverse of Janine's equation is r = -120/(t - 120).
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Can someone help me pls
Answer:
c = (E/m)^1/2
Step-by-step explanation:
Here, we want to solve for c in the given equation
what we have here is that;
E = m•c^2
Thus;
c^2 = E/m
So we have
c^2(*1/2) = (E/m)^1/2
c = (E/m)^1/2
Determine whether the given value is a sample statistic or a population parameter. A researcher examines the records of all the registered voters in one city and finds that 43% are registered Democrats. Group of answer choices
Answer: Population parameter
Step-by-step explanation: The parameter can be defined as a numerical value used to describe an entire population. The population describes all the entire values or members belonging to a particular group. Hence, numerical values which are used to explain the characteristic of the population is called the population parameter. Sample statistics on the other hand are numerical values associated statistical properties of a sample which is a subset of a certain population.
In the instance given above, 43% represents the population parameter which describes the percentage number of Democratic voters out of the entire population of voters in the city.
1. how much do national football league (nfl) players weigh, on average? in a random sample of 50 nfl players, the average weight is 244.4 pounds.
The average weight of a random sample of 50 NFL players is 244.4 pounds.
What is an equation?An equation shows the relationship between two or more numbers and variables.
For a samples size (n) in normally distributed population, the sample mean is normally distributed, with mean μX=μ and standard deviation σX=σ/√n.
Hence for a sample of 50 NFL players with an average weight of 244.4 pounds:
Mean = mean = 244.4 pounds
The average weight is 244.4 pounds.
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-x + 8=25
What does the x represent
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Need help anyone know how to do this
*Chuckles* my GPA is in danger
Answer:
A
Step-by-step explanation:
Exponential growth is when numbers increase rapidly in an exponential fashion so for every x-value on a graph there is a larger y-value. Decay is when numbers decrease rapidly in an exponential fashion so for every x-value on a graph there is a smaller y-value. So here the one that fits the description is A.
Mr. Ramirez is 2 yards, 0 feet, and 6 inches tall. What is his height in inches?
Mr. Ramirez's height can be converted to inches by converting each unit to inches and then summing them up. First, we convert 2 yards to inches. Since 1 yard is equal to 36 inches, we multiply 2 yards by 36 to get 72 inches.
we convert 0 feet to inches. Since 1 foot is equal to 12 inches, 0 feet is equal to 0 inches.
Finally, we add the inches together.
Mr. Ramirez is 72 inches tall from the yards conversion, and we add 0 inches from the feet conversion.
To this, we add the remaining 6 inches.
Therefore, Mr. Ramirez's height in inches is 72 + 0 + 6 = 78 inches.
In summary, Mr. Ramirez's height is 2 yards, 0 feet, and 6 inches. By converting each unit to inches and adding them together, his height can be calculated as 78 inches. This conversion allows for a standardized measurement and provides a clear understanding of his height in a single unit.
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Angel round 4 miles per Day. What Is the relationship between the Number of dais and how mano miles he has fun? Is it proporcional or non proporcional
This question bus not written properly
Complete Question
Angel runs 4 miles per Day. What Is the relationship between the Number of days and how many miles he has run? Is it proportional or non proportional?
Answer:
a) What Is the relationship between the Number of days and how many miles he has run?
The relationship between the number of days and how many miles he has run is as the number of days increases the number of miles he had run increases.
b) Is it proportional or non proportional?
Yes the number of days is DIRECTLY PROPORTIONAL to how many miles he has run
Step-by-step explanation:
The question has proportionality involved.
Proportion or Proportionality had to do with two quantities that vary with each other.
The two quantities are Number of days and Number of miles
We can say:
Number of days ∝ Number of miles
Number of days = k × Number of miles
Where k is constant if Proportionality.
Angel runs 4 miles per Day.
Mathematically, this is expressed as:
1 days = k × 4 miles
k = 1/4
Let find the number of miles he had run in 2 days.
Number of days = k × Number of miles
2 = 1/4 × number of miles
Number of miles = 4 × 2
= 8 miles.
a) What Is the relationship between the Number of days and how many miles he has run?
The relationship between the number of days and how many miles he has run is as the number of day increases the number of miles he had run increases.
b) Is it proportional or non proportional
Based on the calculation above, where:
Number of days ∝ Number of miles
Yes, it is proportional and Number of days is DIRECTLY PROPORTIONAL to Number of miles Angel runs.
(x^(2)-4x+3)(3x^(2)-3x-5)
simplify
don't answer if u don't know the answer
Answer:
\(3x^4+12-15\)
Step-by-step explanation:
You can use the distributive property,
\((x^2-4x+3)(3x^2-3x-5\))
You distribute everything in the first set of parentheses, into the second set of parentheses.
getting the above answer.
What is the present value of $12,200 to be received 4 years from today if the discount rate is 5 percent? Multiple Choice $10,027.51 $7,320.00 $10,459.53 $10,538.82 $10,036.97
Answer; present value of $12,200 to be received 4 years from today, with a discount rate of 5 percent, is $10,027.51.
The present value of $12,200 to be received 4 years from today can be calculated using the formula for present value. The formula is:
Present Value = Future Value / (1 + Discount Rate)^n
Where:
- Future Value is the amount to be received in the future ($12,200 in this case)
- Discount Rate is the interest rate used to discount future cash flows (5 percent in this case)
- n is the number of periods (4 years in this case)
Plugging in the given values into the formula:
Present Value = $12,200 / (1 + 0.05)^4
Calculating the exponent first:
(1 + 0.05)^4 = 1.05^4 = 1.21550625
Dividing the future value by the calculated exponent:
Present Value = $12,200 / 1.21550625
Calculating the present value:
Present Value = $10,027.51
Therefore, the present value of $12,200 to be received 4 years from today, with a discount rate of 5 percent, is $10,027.51.
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$260 worth of tickets were sold
Adult tickets cost $6.25 each
Child tickets cost $4
56 tickets were sold
Let x represent the number of adult tickets sold. Let y represent the number of child tickets sold.
Using the system of equations you found in the last problem, solve for the number of adult tickets sold.
Answer:
56=6.25x+4x
Step-by-step explanation:
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mathstatistics and probabilitystatistics and probability questions and answersbetween january 9-12, 2013, surveyusa interviewed a random sample of 500 nc residents asking them whether they think widespread gun ownership protects law abiding citizens from crime, or makes society more dangerous. 58% of all respondents said it protects citizens. 67% of white respondents, 28% of black respondents, and 64% of hispanic respondents shared
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Question: Between January 9-12, 2013, SurveyUSA Interviewed A Random Sample Of 500 NC Residents Asking Them Whether They Think Widespread Gun Ownership Protects Law Abiding Citizens From Crime, Or Makes Society More Dangerous. 58% Of All Respondents Said It Protects Citizens. 67% Of White Respondents, 28% Of Black Respondents, And 64% Of Hispanic Respondents Shared
Between January 9-12, 2013, SurveyUSA interviewed a random sample of 500 NC residents asking them whether they think widespread gun ownership protects law abiding citizens from crime, or makes society more dangerous. 58% of all respondents said it protects citizens. 67% of White respondents, 28% of Black respondents, and 64% of Hispanic respondents shared this view. Opinion on gun ownership and race-ethnicity are most likely
A. complementary
B. mutually exclusive
C. dependent
D. independent
Roughly 20% of undergraduates at a university are vegetarian or vegan. What is the probability that, among a random sample of 3 undergraduates, at least one is vegetarian or vegan?
A. 1 - 0.8 * 3
B. 1 - 0.2 * 3
C. 1 - 0.2^3
D. 1 - 0.8^3
The first question is about the relationship between opinion on gun ownership and race-ethnicity. 67% of White respondents, 28% of Black respondents, and 64% of Hispanic respondents shared the view that widespread gun ownership protects law abiding citizens from crime.
The opinion on gun ownership is dependent on race-ethnicity. Roughly 20% of undergraduates at a university are vegetarian or vegan. We need to find the probability that, among a random sample of 3 undergraduates, at least one is vegetarian or vegan.
P(at least one is vegetarian or vegan) = 1 - P(none of them is vegetarian or vegan) P(none of them is vegetarian or vegan)
= (0.8)^3
= 0.512
P(at least one is vegetarian or vegan) = 1 - 0.512
= 0.488
The probability that, among a random sample of 3 undergraduates, at least one is vegetarian or vegan is 0.488.
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What condition has no solution?
A condition that is impossible to satisfy has no solution.
Mathematics can be a powerful tool for solving many problems, but there are some issues that can't be solved.
In particular, any condition that is impossible to satisfy, such as the logical statement ‘this statement is false’, has no solution in mathematics. This is because the statement can’t be proven true or false, and so it can’t be solved.
An unsolvable condition is one that cannot be solved using any combination of logical and mathematical steps.
This means that no matter how much time and effort is put in, a solution to the problem cannot be discovered.
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Which shows a factorization that includes only prime numbers?
A. 25 = 5 x 5
B. 45 = 5 x 9
C. 50 = 2 x 2 x 2 x 5
D. 75 = 3 x 5 x 7
help me, oh and btw this is by brothers account
Option A. 25 = 5 x 5 is shows a factorization that includes the prime number.
What is a prime number :Prime numbers are numbers that have only 2 factors: 1 and themselves. For example, the first 5 prime numbers are 2, 3, 5, 7, and 11. By contrast, numbers with more than 2 factors are call composite numbers.
Some whole numbers can only be divided by 1 or the number itself. These numbers are called prime numbers. A number that is not a prime is called a composite number. You can divide a composite number by numbers other than than 1 and itself.
Given expressions.
A. 25 = 5 x 5
25 = \(5^{2}\)
5 is a prime number.
Hence, Include A.
B. 45 = 5 x 9
45 = 5 x 9
But 9 is not prime number.
Hence, Exclude B.
C. 50 = 2 x 2 x 2 x 5
50 = 8 x 5
50 ≠ 40
Hence, Exclude C.
D. 75 = 3 x 5 x 7
75 = 15 x 7
75 ≠ 105
Hence, Exclude D.
Therefore,
Option A. 25 = 5 x 5 is shows a factorization that includes the prime number.
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Although ________ satellites are the most expensive to build and launch, they also have the longest orbital life of many years.
Although MEO satellites are the most expensive to build and launch, they also have the longest orbital life of many years.
What does MEO satellite mean?
Unlike low earth orbit (LEO) and geostationary earth orbit (GEO) satellites, medium earth orbit (MEO) satellites orbit the earth at an altitude between the two.
Why would one use MEO?
GPS and other navigational apps have previously used MEO. Service providers, governmental organizations, and commercial firms can now access low-latency, high-bandwidth data communication thanks to the deployment of HTS MEO constellations.
What kind of satellites can you find in MEO?
The O3b and upcoming O3b mPOWER constellations are among the communication satellites in MEO for telecommunications and data backhaul to maritime, aviation, and remote locations.
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data sample contains all integers from 530 to 380 and all integers from 379 to 531. what is the mean of this sample?
The given data sample contains all integers from 530 to 380 and all integers from 379 to 531. This means that the sample includes 152 integers in total. To find the mean of the sample, we need to add up all the numbers and divide by the total number of integers.
To do this, we can take the average of the two endpoints (530 and 380), which is 455. Then we can add the sum of the integers between 380 and 530, which is (530-381+1) + (530-379) = 150 + 151 = 301. Finally, we divide the total sum by the number of integers, which is 152, and get:
Mean = (455 + 301) / 152 = 3.980263158
Therefore, the mean of the given data sample is approximately 3.9803.
In summary, we can find the mean of a sample by adding up all the numbers and dividing by the total number of items. In this particular sample, we first found the average of the two endpoints and then added the sum of all the integers between them to find the total sum. Finally, we divided the total sum by the number of integers to find the mean of the sample.
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determine the area under the standard normal curve that lies to the right of the z-score 0.11 and to the left of the z-score 0.41.
The requried area under the standard normal curve that lies to the right of z = 0.11 and to the left of z = 0.41 is approximately 0.1153.
To find the area under the standard normal curve that lies to the right of the z-score 0.11 and to the left of the z-score 0.41, we can use a standard normal table or a statistical calculator.
The area to the right of z = 0.11 can be found by subtracting the cumulative area to the left of z = 0.11 from 1.
The area to the left of z = 0.41 can be directly read from the standard normal table.
Using a standard normal table or a calculator, we find:
The area to the left of z = 0.11 is approximately 0.5438.
The area to the left of z = 0.41 is approximately 0.6591.
Now, let's find the area between these two z-scores:
Area = (Area to the left of z = 0.41) - (Area to the left of z = 0.11)
Area = 0.6591 - 0.5438
Area ≈ 0.1153
So, the area under the standard normal curve that lies to the right of z = 0.11 and to the left of z = 0.41 is approximately 0.1153.
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8=1/2(x-2y)
Solve for x
Answer:
Step-by-step explanation:
1/2x - y = 8
1/2x = 8 + y
2(1/2x = 8 + y)
x = 16 + 2y
The following are the temperatures of 10 days in winter in °C.
8, 2, 1, 5, 1, 10, -2, 4, -2, 6
Work out the mean temperature.
0
°C
Answer:
ok so
Step-by-step explanation:
add them alll up which is 33. then do 33 divided by 10 because thats how many numbers there are and mean is adding all the numbers up and dividing them so 3.3 degrees celsius
the sum of 8 and y is 5. what is y
Answer:
y = -3
Step-by-step explanation:
As per the condition given
8 + y = 5
y = 5 - 8 = -3