The mixed fraction approximation for the given terms using the perfect squares method are:
2√(4)√(5/4)3√(1)√(2/1)2√(1)√(3/1)How do we approximate the square roots using the perfect squares?To approximate the square roots using the perfect squares method, we need to find the largest perfect square that is less than each of the given terms, and then simplify.
For 2√5:
The largest perfect square less than 5 is 4, so we can write 2√5 as 2√(4)√(5/4).
Simplifying, we get:
2√(4)√(5/4)
= 2(2)√(5/4)
= 4√(5/4)
= 4√5/√4
= 4√5/2
= 2√5.
For 3√2:
The largest perfect square less than 2 is 1, so we can write 3√2 as 3√(1)√(2/1).
Simplifying, we get:
3√(1)√(2/1)
= 3(1)√(2/1)
= 3√2/√1
= 3√2.
For 2√3:
The largest perfect square less than 3 is 1, so we can write 2√3 as 2√(1)√(3/1).
Simplifying, we get:
2√(1)√(3/1)
= 2(1)√(3/1)
= 2√3/√1
= 2√3.
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Jacque is using an unopened soup can for a school project and wants to paint it. If the can is 10 cm tall and has a diameter of 7 cm, at least how many square centimeters of paint is needed? Approximate using π = 3.14.
769.3 cm2
483.56 cm2
296.73 cm2
241.78 cm2
Answer:
Paint needed = option C(296.73cm2)
Step-by-step explanation:
Length of can(h)=10cm
Diameter of can=7cm
Radius of can(r)=3.5cm
Area of Can be painted=Total area of Can (cylinder)
Total surface area of cylinder=2π r(r+h)
=2 x 3.14 x 3.5 (3.5+10)
=21.98(13.5)
=296.73cm^2
=Paint needed
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A crafts worker is knitting a circular rug that has a diameter of 86 inches. He would like to put trim around the outer edge of the rug. If 1 inch = 2.54 centimeters, how many centimeters of trim would he need? Use π = 3.14 and round to the nearest centimeter.
686 centimeters
343 centimeters
135 centimeters
106 centimeters
Answer:
686 centimeters
Step-by-step explanation:
d= 86 inches
d=2r
86 =2r
r=43
C = 2πr
C = 2(3.14)(43) =270.04 inches
1 inch = 2.54 centimeters
270.04 (2.54) = 685.9016 centimeters ≈686 centimeters
I need some more help over here T-T
Answer:
2.1) k and f ; h and m
2.2) b and c ; a and d
2.3) m = 31 °
2.4) d = 121°
Step-by-step explanation:
Pls answer and explain the question below (comes with pic)
The following circle graph represents how the Townsends spend their monthly income. If their total monthly budget is $3,000, how much do they spend per month on food?
Answer: 600
Step-by-step explanation: divide the value by the total value and then multiply the result by 100.
Find the median and mean of the data set below:
0,45,33,8,26,25,31
Answer:
Mean: 24
Median: 26
Step-by-step explanation:
0, 8, 25, 26, 31, 33, 45
26 is in the middle so median = 26
Mean = (0 + 8 + 25 + 26 + 31 + 33 + 45) / 7 = 24
PLS HELP!! ASAP!!! WILL GIVE BRAINLIEST!!
Jacinta drove from the mountains to the desert. She went from 8,560 feet above sea level to 122 feet below sea level.
If she drove at a constant speed for six hours, which statement represents her rate of change in elevation
(A) Jacinta descended at a rate of 732 feet per hour.
(B) Jacinta descended at a rate of 1,426 2/3 feet per hour.
(C) Jacinta descended at a rate of 1,406 1/3 feet per hour.
(D) Jacinta descended at a rate of 1,447 feet per hour.
Answer: D) 1,447 feet per hour
Step-by-step explanation:
8,560 + 122 = 8,682
8,682 ÷ 1,447 = 6
(For clarification, 6 × 1,447 = 8,682; 1,447 feet descended every hour.)
The box plot displays the number of push-ups completed by 9 students in a PE class.
A box plot uses a number line from 9 to 56 with tick marks every 2 units. The box extends from 20 to 42.5 on the number line. A line in the box is at 35. The lines outside the box end at 10 and 55. The graph is titled Push-Ups In PE and the line is labeled Number of Push-Ups.
Which of the following represents the value of the lower quartile of the data?
10
20
42.5
55
The lower quartile of the data set that is represented by the box plot described above is: B. 20.
How to Find the Lower Quartile from a Box Plot?The lower quartile, also known as the first quartile (Q1), is the value below which 25% of the data lies. In a box plot, it is represented by the bottom of the box.
According to the given information for the box plot, the box extends from 20 to 42.5 on the number line. Therefore, the lower end of the box represents the value of the first quartile (Q1).
Hence, the value of the lower quartile is 20. Therefore, the correct answer is: B. 20.
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What is the percentage? please help
Answer: %60
Simple explanation: 3/5=.6
Step-by-step explanation:
Answer:60%
Step-by-step explanation:she painted 3 out of 5, we can convert it to a fraction 3/5. And we raise the fraction to a decimal fraction of 0.6 and multiply by 100% will be 60%
help me on thi it due in 4 hours btw please help me
Answer:
3
Step-by-step explanation:
the formula for the area of a rectangle is length x width, and so you do 3/5 x 5, which ends up as 15/5, since 5 is also 5/1. Then you get 3 as the area of the rectangle's area.
Answer:
3 ft
Step-by-step explanation:
3/5 x 5 = 15/5
15 / 5 = 3
Jared's grandparents put $10 per month into his savings account for him how much money will be in the account after 1 year
$100
$120
$110
$80
Answer:
120
Step-by-step explanation:
120
Answer:
120
Step-by-step explanation:
Dont understand need explanations ASAP and answer
Answer:
e = 31.90h
Step-by-step explanation:
606.10/ 19 = 13.90
733.70/23 = 31.90
861.30/27 = 31.90
We can see from the table that the hourly rate is $31.90. You can take any number of h hours and multiply that by 31.902 to find the total earned.
Helping in the name of Jesus.
There are 10 brown, 10 black, 10 green, and 10 gold marbles in bag. A student pulled a marble, recorded the color, and placed the marble back in the bag. The table below lists the frequency of each color pulled during the experiment after 40 trials..
Outcome Frequency
Brown 13
Black 9
Green 7
Gold 11
Compare the theoretical probability and experimental probability of pulling a green marble from the bag.
Choice A: The theoretical probability, P(green), is 50%, and the experimental probability is 11.5%.
Choice B: The theoretical probability, P(green), is 25%, and the experimental probability is 25%.
Choice C: The theoretical probability, P(green), is 25%, and the experimental probability is 17.5%.
Choice D: The theoretical probability, P(green), is 50%, and the experimental probability is 7.0%.
PLEASE HELP ASAP!!!!!!!
A new physical therapy is being tested in an experimental setting to see if the new methods reduce the recovery time for patients who recently underwent surgery for a torn ACL, a ligament in your knee. To do this, the researchers in the study first performed intake on participants by observing their Body Mass Index (BMI) and had them take a survey to describe their diet and their exercise habits.
Then, the participants were split into three groups: the first group received no physical therapy, the second group received traditional physical therapy, and the third group received the new experimental physical therapy.
The group which receives no physical therapy would best be described as which of the following?
Explanatory Variable
Response Group
Control Group
Experimental Unit
Answer: The group which receives no physical therapy would best be described as the Control Group.
In an experimental study, the control group is a group of participants who do not receive the treatment being tested. They are used as a basis for comparison to evaluate the effectiveness of the treatment. In this case, the researchers are testing whether the new physical therapy reduces the recovery time for patients who underwent surgery for a torn ACL. The control group allows the researchers to compare the recovery time of patients who received no physical therapy to those who received either traditional or experimental physical therapy.
Step-by-step explanation:
PLS HELP ASAP!! WILL GIVE BRAINLIEST!!!
The table below shows the change in price of a particular share on the stock market.
Daily share price changes
Day Daily change (In dollars)
1 +2.75
2 -4.375
3 +0.875
4 -2.5
Part A: By how did the price of the share change from the start of day 1 to the end of day 4?
Part B: At the end of day 4 the price of the share is $102.85. What was the price of the share at the start of day 1?
Answer:
Part-a: The price of the share decreased by $3.25 from the start of day 1 to the end of day 4.
Part-b: The price of the share at the start of day 1 was $106.10.
Step-by-step explanation:
Part A: To calculate the change in price from the start of day 1 to the end of day 4, we need to add up all the daily changes. The daily changes given are:
Day 1: +2.75
Day 2: -4.375
Day 3: +0.875
Day 4: -2.5
Adding these values together:
Change = 2.75 - 4.375 + 0.875 - 2.5 = -3.25
The price of the share decreased by $3.25 from the start of day 1 to the end of day 4.
Part B: To find the price of the share at the start of day 1, we need to subtract the total change from the given price at the end of day 4.
Price at the end of day 4 = $102.85
Total change = -3.25
Price at the start of day 1 = Price at the end of day 4 - Total change
= $102.85 - (-3.25)
= $102.85 + 3.25
= $106.10
Therefore, the price of the share at the start of day 1 was $106.10.
Answer needed by 1:30-2:30pm
Answer:
The answer is 78
Step-by-step explanation: Well, first thing I did was cut into two shapes so a square and a rectangle and 3 x 2 = 6 and 9 x 8 = 72 and 72 +6 = 78
Answer:
78
Step-by-step explanation:
3 x 2= 6
9 x 8 = 72
72 + 6 = 78
Please help i'm so confused
Answer:
2/3
Step-by-step explanation:
because 1 1/2 x 2/3 = 2 1/4
Answer:
1 1/2 = 3/2
2 1/4 = 9/4
3/2 divided by 9/4 = 3/2 multiplied by 4/9 = 2/3
EXPLANATION : when we have 2 fractions and we have to divide them , we have to reverse the fraction that we are dividing by and multiply it. sometimes we can simplify the fractions , sometimes we can't. for example , with 3/2 multiplied by 4/9 we simplified 3 and 9 and the 2 and the 4 which left us with 1/1 ( 1 ) multiplied by 2/3 , which gave us the answer 2/3 .
Hope I helped!
PLEASE HELP `30 points!!!!
Solve and show your work for each question.
Note: Remember per the rule of 9s if you have a repeating and non-repeating component you need to handle them separately.
What is 0.65 expressed as a fraction in simplest form?
What is 2.¯5 expressed as a fraction in simplest form?
What is 1.0¯24 expressed as a fraction in simplest form?
Answer:
Part A)
Part B)
Part C)
Answer:
Step 1: Write down the decimal as a fraction with the decimal number as the numerator and 1 as the denominator.
Step 2: Multiply both the numerator and denominator by 10^n, where n is the number of digits after the decimal point.
Step 3: Simplify the resulting fraction.
Using these steps, we can convert the given decimal numbers to fractions:
0.65
Step 1: 0.65 = 65/100
Step 2: Multiply numerator and denominator by 10 to get rid of the decimal point: 65/100 = 650/1000
Step 3: Simplify by dividing numerator and denominator by their greatest common factor of 50: 650/1000 = 13/20
Therefore, 0.65 expressed as a fraction in simplest form is 13/20.
2.¯5
To handle repeating decimal numbers, we can use the following method:
Step 1: Let x be the repeating decimal number.
Step 2: Multiply both sides of x by 10^n, where n is the number of digits in the repeating part of the decimal number.
Step 3: Subtract the original number from the number obtained in step 2 to eliminate the repeating part.
Step 4: Solve for x by dividing both sides of the equation obtained in step 3 by an appropriate factor.
Step 1: Let x = 2.¯5
Step 2: Multiply both sides by 10: 10x = 25.¯5
Step 3: Subtract the original equation from step 1: 10x - x = 25.¯5 - 2.¯5
Simplifying: 9x = 23
Step 4: Solve for x by dividing both sides by 9: x = 23/9
Therefore, 2.¯5 expressed as a fraction in simplest form is 23/9.
1.0¯24
Step 1: Let x = 1.0¯24
Step 2: Multiply both sides by 10^2 to eliminate the repeating part: 100x = 124.¯24
Step 3: Subtract the original equation from step 1: 100x - x = 124.¯24 - 1.0¯24
Simplifying: 99x = 123
Step 4: Solve for x by dividing both sides by 99: x = 123/99
We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor of 3: 123/99 = 41/33.
Therefore, 1.0¯24 expressed as a fraction in simplest form is 41/33.
Step-by-step explanation:
0.65 expressed as a fraction in simplest form is 13/20.
2.5 expressed as a fraction in simplest form is 5/2.
1.024 expressed as a fraction in simplest form is 256/250.
What is the simplified form of the expressions in fraction?0.65 expressed as a fraction in simplest form:
Write the decimal as a fraction by placing it over 1. In this case, 0.65 becomes 0.65/1.
Remove the decimal by multiplying both the numerator and the denominator by a power of 10 that will eliminate the decimal.
In this case, multiplying by 100 will do the trick, so we get (0.65 × 100)/(1 × 100) = 65/100.
Lastly, simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 65 and 100 is 5, so dividing both by 5 yields 13/20.
2.5 expressed as a fraction in simplest form:
Write the decimal as a fraction by placing it over 1. In this case, 2.5 becomes 2.5/1.
Remove the decimal by multiplying both the numerator and the denominator by a power of 10 that will eliminate the decimal.
In this case, multiplying by 10 will do the trick, so we get (2.5 × 10)/(1 × 10) = 25/10.
Lastly, simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 25 and 10 is 5, so dividing both by 5 yields 5/2.
1.024 expressed as a fraction in simplest form:
Write the decimal as a fraction by placing it over 1. In this case, 1.024 becomes 1.024/1.
Remove the decimal by multiplying both the numerator and the denominator by a power of 10 that will eliminate the decimal.
In this case, multiplying by 1000 will do the trick, so we get (1.024 × 1000)/(1 × 1000) = 1024/1000.
Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 1024 and 1000 is 8, so dividing both by 8 yields 128/125.
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There is a linear relationship between the number of roses blooming in the garden and the number of days that pass. After 4 days, there are 22 rose blooms left, and after 8 days, there are 10 rose blooms left.
Which of the following graphs represents the relationship?
Answer:
The first graph is correct.
Step-by-step explanation:
After 4 days, there are 22 rose blooms left -------(4, 22)
and after 8 days, there are 10 rose blooms left -----(8 , 10)
Equation of straight line:
y =ax +b
input (4, 22) and (8, 10)
22 = 4a + b ----(1)
10 = 8a +b ------(2)
solve to find a , b
(2) - (1)
-12 = 4a, a= -3
find b, b = 34
Equation is : y= -3x + 34
When you set x = 0, y is 34.
The first graph is correct.
Leah is filling a cube-shaped box with packing material and gift items. Each edge length of the box is 20 inches. What is the greatest possible volume of all the presents and packing material inside the cube?
(Answer needed by 11:30pm-12:30pm)
Answer:
4,000
Step-by-step explanation:
I need help again pls
Can someone help me and answer this
The scatter plot shows the relationship between the amount of time, in hours, students in a Spanish class slept the night before an exam and their score on the exam.
Which of the following describes the pattern of association for the scatter plot?
There is a positive linear association.
There is a positive nonlinear association.
There is a negative linear association.
There is a negative nonlinear association.
Answer: There is a positive linear association.
Step-by-step explanation: As the X value increases, so does the Y value which means the positive association. Also, it is in a straight line, which means it is a linear association. Which would make it a positive linear association.
The pattern associated with the scatter plot is given as follows:
There is a positive linear association.
What is scatter plot?A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data. If the points are coded, one additional variable can be displayed.
Here, we have,
The scatter plot shows a series of points in (input, output) format, in which the input is the time studying in minutes and the output is the grade.
As the increasing graph shows, the more a person studies, the better the grade, hence there is a positive relationship among the variables.
The increase is slow initially while it has a higher rate for a higher number of minutes, hence the association is also nonlinear.
As the X value increases, so does the Y value which means the positive association.
Also, it is in a straight line, which means it is a linear association.
Which would make it a positive linear association.
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In the US, 42% of people have type A blood, 10% have type B, 4% have type AB, and 44% have type O. People with type Band type AB blood can receive type B blood. What percentage of people can receive transfusions of type B blood?
Answer: 14%
Step-by-step explanation:
10+4=14
graph f(x)=|x+1|+3 then find the domain and range
mainly looking at how id find the coordinates!
Domain is all real numbers. Range is
Step-by-step explanation:
The function is a transformation of the parent function by moving the function up by 3 units.
So, the graph of the function is shown below.
From the graph, it is clear that the values has no limitation and hence can take any real values. Domain is the set of all possible values.
So, domain is the set of all real numbers.
Range is the set of all possible values for for the given domain.
From the graph, the minimum value of is at the point (. So, the minimum value of y is 3. The value then goes on increasing towards infinity.
Therefore, range is a real number greater than or equal to 3.
So, range is or
The diameter of a child's bicycle wheel is 18 inches. Approximately how many revolutions of the wheel will it take to travel 1,700 meters? Use 3.14 for π and round to the nearest whole number. (1 meter ≈ 39.3701 inches)
A. 3,925 revolutions
B. 2,368 revolutions
C. 1,184 revolutions
D. 94 revolutions
(Comparing Data LC)
The histograms display the frequency of temperatures in two different locations in a 30-day period.
A graph with the x-axis labeled Temperature in Degrees,
with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119.
The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14.
A shaded bar stops at 10 above 60 to 69, at 9 above 70 to 79, at 5 above 80 to 89, at 4 above 90 to 99,
and at 2 above 100 to 109. There is no shaded bar above 110 to 119.
The graph is titled Temps in Sunny Town.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89,
90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every
one unit up to 16. A shaded bar stops at 2 above 60 to 69, at 4 above 70 to 79, at 12 above 80 to 89, at
6 above 90 to 99, at 4 above 100 to 109, and at 2 above 110 to 119.
The graph is titled Temps in Desert Landing.
When comparing the data, which measure of variability should be used for both sets of data to determine
the location with the most consistent temperature?
Group of answer choices:
IQR, because Sunny Town is skewed
IQR, because Desert Landing is symmetric
Range, because Sunny Town is skewed
Range, because Desert Landing is symmetric
The Histograms in picture form:
Answer: dd 1 and 9
Step-by-step explanation:
the degrees
When comparing the data, a measure of variability which should be used for both sets of data to determine the location with the most consistent temperature is: C. Range, because Sunny Town is skewed.
What is skewness?In Mathematics, skewness can be defined as a measure of the asymmetry of a box plot (box-and-whisker plot) or histogram and as such, a box plot (box-and-whisker plot) or histogram has a normal distribution when it is symmetrical.
By critically observing the box plot (box-and-whisker plot) which represent Sunny Town, we can logically deduce that it is skewed.
On the other hand (conversely), the box plot (box-and-whisker plot) for Desert Landing is symmetrical (vertical line dividing the box into two equal halves), which simply means that both whiskers on either sides of the box plot (box-and-whisker plot) are relatively equal and symmetric.
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Okay, I still kinda have an hour left but I’ve been struggling with these two!
Answer my other questions and get brainliest!
Polygon JKLM is drawn with vertices J(−4, −3), K(−4, −6), L(−1, −6), M(−1, −3). Determine the image coordinates of L′ if the pre-image is reflected across y = −3.
L′(−3, 6)
L′(−1, 6)
L′(−1, 0)
L′(1, 0)
To reflect the pre-image across y = -3, we need to flip the entire polygon over the line y = -3. This means that the x-coordinates of each point will remain the same, but the y-coordinates will be reflected across the line.The y-coordinate of point L is -6, which is 3 units below the line y = -3. When reflected, this point will be 3 units above the line y = -3. Therefore, the image coordinates of L' will be (−1, 0), since the x-coordinate of L is -1 and the y-coordinate of L' is 3 units above y = -3, which is 0.So, the image coordinates of L' are (−1, 0).
What is the surface area of the cylinder represented by the net? Apply the formula SA = 2B + Ph. Use π as part of your answer.
Answer:
128π
Step-by-step explanation:
SA = 2B + Ph = 2πR² + 2πRh = 2π.16 + 2π.4.12 = 128π
Five balls, A, B, C, D, and E, weigh 30g, 50g, 50g, 50g, and 80g each. Which ball weighs 30g?
Answer:
A weighs 30 because it is always on the higher side