The surface area of a cylinder with a radius of 6.8 inches and a height of 14.2 inches can be estimated by using the formula including both the curved surface area and the area of the bases, then rounding to compare with provided options.
Explanation:The surface area of a cylinder can be calculated using the formula S = 2πr(height) + 2πr². Substituting the given radius r = 6.8 inches and height L = 14.2 inches, and using π = 3.14, we estimate the surface area as follows:
S = 2πrL + 2πr² = 2(3.14)(6.8)(14.2) + 2(3.14)(6.8)²
The first term accounts for the curved surface area of the cylinder and the second term accounts for the two circular bases. Calculate each part and sum them to estimate the total surface area. To compare to the provided options, we can round to the nearest whole number.
.1 Option D) Surface area of cylinder 923 in².2 Option (B)√41 3.Option (D) 5/13 4.Option (D) 4. 5Option (c)y = 2x + 1. 6 Option (c)53/72
To find the surface area of a cylinder with radius r = 6.8 inches and height h = 14.2 inches, we use the formula for the surface area of a cylinder:
Surface Area = 2πr(h + r)
First, calculate the lateral surface area:
Lateral Surface Area = 2πrh = 2 * 3.14 * 6.8 * 14.2
Lateral Surface Area ≈ 607.04 square inches
Next, calculate the area of the two circular bases:
Area of bases = 2πr² = 2 * 3.14 * (6.8)^2
Area of bases ≈ 290.66 square inches
Now, add the lateral surface area and the area of the bases to get the total surface area:
Total Surface Area ≈ 607.04 + 290.66 ≈ 897.7 square inches
Comparing this with the given options, the closest estimate is:
D) 923 in²
Using the Pythagorean Theorem
To find the distance between points A and B, assuming a right triangle with legs of length 2 and 3:
Distance = √(2² + 3²) = √(4 + 9) = √13
Thus, the best estimate for the distance is:
B) √41
Fraction between 5/12 and 5/11
To find a fraction between 5/12 and 5/11, first convert these fractions to a common denominator:
Common denominator is 132:
5/12 = 55/132
5/11 = 60/132
Between 55/132 and 60/132, the fraction closest to these is:
D) 5/13
Probability of picking an orange marble
If you pick a marble at random and replace it each time over 4 attempts, the best prediction for the number of times you will pick an orange marble will depend on the probability of picking an orange marble once. If the probability is uniform, then:
D) 4
Choosing the correct rule for the graph
Based on given options and typical linear functions, if a graph shows a line increasing with a slope of 2 and a y-intercept of 1:
C) y = 2x + 1
Rational number between 7/8 and 6/9
Convert to a common denominator to find a fraction that fits:
7/8 = 21/24, 6/9 = 16/24
The fraction closest to these is:
C) 53/72
Match each concept with its key characteristic.
1. subset of a group survey
2. equally favors all members of a group sample mean
3. collects data on members of a group population
4. does not equally favor all members of a group random sample
5. includes all members of a group sample
6. analyzes data collected from a group biased sample
1. It is the subset of a group - Group sample.
2. It equally favors all members of a group sample - Random sample.
3. It collects data on members of a group - Survey.
4. It does not equally favor all members of a group - Biased sample.
5. It includes all members of a group - Population.
6. It analyzes data collected from a group - Mean.
I have matched all concepts in accordance with statistical use, hope it helps.
Matching each concept with its key characteristic are:
Group sample- It is the subset of a group.Random sample- It equally favors all members of a group sample.Survey- It collects data on members of a group.Biased sample- It does not equally favor all members of a group Population- It includes all members of a group.Mean- It analyzes data collected from a group.What is group sample and random sample?Group sample are sample collected from a population.Random sample are sample collected randomly from a population.Survey are data or information collected from a population so as to draw a conclusion.Biased sample occur when their is biased when taking a sample.Population are member of a group.Mean help to evaluate and analyze data from a group of population.Therefore Group sample- It is the subset of a group.
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In Ping-Toss, the object is to toss two Ping-Pong balls so they each land in a red section of the stick-em board. Phil’s first toss landed in a red section. How does his chance of winning change if he is allowed to remove the first ball before he tosses the second?
Answer:
It increases, because if the first ball is left in a red section, there is less red area for the second ball to land on. - trust
Step-by-step explanation:
A used motorcycle is on sale for $3,600. Erik makes an offer equal to 3/4 of this price. How much does Erik offer for the motorcycle?
Given a = 4, b = -2 and c = 8, evaluate 3abc.
3(4)(-2)(8) is what the equation looks like all you have to do is multiply all these numbers so 3 times 4 equals 12 and 12 times -2 equals -24 then lastly multiply -24 by 8 which gives you the product of -192.
Find the range of the graphed function.
The range of a graph is the high-and-low points of the graph on the y-axis.
The high point looks like it is at y = 5. The low point appears at y = - 9
Option D is your answer.
Answer:
The range is:
-9≤y≤5
Step-by-step explanation:
We have to find the range of the graphed function.
Here, the scale is of 2 units
The range is calculated as the values between the smallest value and the largest value
The smallest value graph attains is: -9
and the largest value graph attains is: 5
Hence, the range is:
-9≤y≤5
how do you find a percentage of a number. Provide an example. Well not a specific number put jow do i find it ?
how much is 36 nickels 24 dimes 19 quarters and 15 fifty cent?
Fifty Cent = 50 cents
Quarter = 25 cents
Dime = 10 cents
Nickel = 5 cents
__________________________________________________________________
15 Fifty Cent coins = 7.50 dollars
19 Quarters = 4.75 dollars
24 Dimes = 2.40 dollars
36 Nickels = 1.80 dollars
__________________________________________________________________
Total: $16.45
Hope that helps!
what is the GCF of 18 and 20
explain how to solve the expression -98 - 31 using the additive inverse property
-98-31 can also be written as
(-98) + (-31)
We know 98+31=129
Therefore -129
The student's question about '-98 - 31' refers to simple subtraction, not the additive inverse property. Subtracting 31 from -98 provides the answer, -129.
Explanation:The student asked how to solve the expression -98 - 31 using the additive inverse property. The additive inverse property states that: for any number 'a', there is a number '-a' such that: 'a + -a = 0'. Applying this property, if you were to add 98 to -98, it would give 0. However, the question asks for -98 - 31. This doesn't require the additive inverse property, but simple subtraction. Subtract 31 from -98 to get -129.
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the sum of three numbers is 109. the Second number is 3 more than the first number, and the third number is 4 more than the second number. what are the numbers?
The equation created from this situation would be 109=3+n+n+4+3+n
Solve for n and n would be 33
The numbers would be 33, 36, and 40.
Simplify 2(5/3+3/4)-4/3
A) 13/12
B) 11/4
C) 3
D) 7/2
Hello there!
[tex]2(5/3+3/4)-4/3[/tex]
Explanation:
↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓
[tex]2(\frac{5}{3}+\frac{3}{4})-\frac{4}{3}[/tex]
[tex]2(\frac{5}{3}+\frac{3}{4})=\frac{29}{6}[/tex]
[tex]\frac{29}{6}-\frac{4}{3}[/tex]
You had to used least common multiple of 6 and 3.
Prime factorization of 6: 1, 2, 3, 6
3*2=6
Prime factorization of 3: 1, 3
1*3=3
Then multiply by the number
3*2=6
You can also multiply by each numerator by the same amount needed to multiply its corresponding denominator to turn it into the least common multiple is 6.
Then you had to used 4/3 multiply by the denominator and numerator by 2.
[tex]\frac{4}{3}=\frac{4*2}{3*2}=\frac{8}{6}[/tex]
[tex]\frac{29}{6}-\frac{8}{6}[/tex]
Since the denominators are equal, it combine by the fractions.
[tex]\frac{29-8}{6}[/tex]
Then you can subtract by the numbers.
[tex]29-8=21[/tex]
[tex]\frac{21}{6}[/tex]
You had to cancel by the common factor of 3.
[tex]=\frac{7}{2}[/tex]
Answer⇒⇒⇒⇒7/2
Hope this helps!
Thank you for posting your question at here on Brainly.
Have a great day!
-Charlie
The answer would be d.7/2
20+x=25 so I'm doing addition property of equality so what does this mean
The addition property of equality is the idea we can add some number to both sides of an equation. You must add the same number to both sides to keep things balanced.
It's asking "what number can we add to both sides of this equation so that we isolate x?"
Think of 20+x as x+20. We can rearrange terms since adding in any order doesn't matter (eg: 2+3 = 3+2 = 5)
So we really have this equation: x+20 = 25
We can add -20 to both sides to cancel out the +20 on the left side
x+20 = 25
x+20+(-20) = 25+(-20) ...... add -20 to both sides
x = 5
This is the exact same as subtracting 20 from both sides. So 5 will go where x is, meaning that 20+x = 20+5 = 25
What is the perimeter of the figure?
229 4/9 ft
229 2/3 ft
230 2/3 ft
231 ft
The answer would be 230 2/3, because to get the perimeter you have to add all the sides together, 60 5/6 + 59 1/3 + 56 1/6 + 54 1/3 = 230 2/3
The correct perimeter of the figure is 230 2/3 ft. Here option C is correct.
The perimeter of the figure is the sum of the lengths of all its sides. To find the perimeter, we need to add the fractions given for each side.
We can do this by finding the common denominator and then adding the numerators. The common denominator for 3, 6 and 9 is 18. So, we have:
54 1/3 ft = 54 + 1/3 ft = 54 + 6/18 ft = 54 6/18 ft
56 1/6 ft = 56 + 1/6 ft = 56 + 3/18 ft = 56 3/18 ft
59 1/3 ft = 59 + 1/3 ft = 59 + 6/18 ft = 59 6/18 ft
60 5/6 ft = 60 + 5/6 ft = 60 + 15/18 ft = 60 15/18 ft
Now, we can add the fractions and simplify:
54 6/18 ft + 56 3/18 ft + 59 6/18 ft + 60 15/18 ft
= (54 + 56 + 59 + 60) + (6 + 3 + 6 + 15)/18 ft
= 229 + 30/18 ft
= 229 + 1 12/18 ft
= 229 + 1 2/3 ft
= 230 2/3 ft
Therefore, the perimeter of the figure is 230 2/3 ft. Here option C is correct.
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help me now boy or girl
Franco says that when he multiplies any number by a factor, the product is always equal to the number. What is the factor? Explain how you know this is true.
1 because any number times 1 equals itself.
Example: 3 times 1 = 3
Final answer:
The factor is 1. When you multiply any number by 1, the product is always equal to the number itself.
Explanation:
The factor is 1.
When you multiply any number by 1, the product is always equal to the number itself.
This is because multiplying by 1 does not change the value of the quantity. For example, if you multiply 5 by 1, the product is 5.
In algebra, the concept of multiplying by 1 is often used to simplify equations or expressions.
By multiplying both sides of an equation or an expression by 1, the equality is preserved, and it allows us to rearrange the terms or cancel out certain factors.
find the slope of the line using the points (0,4) and (-3,6)
slope = - [tex]\frac{2}{3}[/tex]
calculate the slope m using the gradient formula
m= (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (- 3, 6)
m = [tex]\frac{6-4}{-3-0}[/tex] = [tex]\frac{2}{-3}[/tex] = - [tex]\frac{2}{3}[/tex]
answer: [tex]-\frac{2}{3}[/tex]
work:
subtract the y values over the x values to solve, you can use this formula:
[tex]\frac{y_{1} - y_{2} } {x_{1} - x_{2} }[/tex]
so, enter your values into the equation:
[tex]\frac{6}{-3} - \frac{4}{0}[/tex]
now, simplify.
[tex]\frac{2}{-3}[/tex]
so, the slope is [tex]-\frac{2}{3}[/tex].
i hope this helps, and have a great day! don't hesitate to ask if you need more help with this specific question! ♥ - eviezoom
The number 5/3 can be best described as a(n) _____. proper fraction improper fraction mixed number
Jonathanpalafox67,
In order to get your answer you must first know what each of the options are.
A proper fraction is a fraction where the numerator is smaller than your denominator. A improper fraction is a fraction where the numerator is greater than the denominator. A mixed number is a fraction mixed with a whole number.
[tex]\frac{5}{3}[/tex][tex]5 > 3[/tex]Therefore your answer is the second option "improper fraction."
Hope this helps!
Answer:
A proper fraction is a fraction where the numerator is smaller than your denominator. A improper fraction is a fraction where the numerator is greater than the denominator. A mixed number is a fraction mixed with a whole number.
Therefore your answer is the second option "improper fraction."
Hope this helps!
can someone explain the law of syllogism and the law of detachment for geometry???
Law of detachment is used when you have a conditional statement and another statement that matches the hypothesis of the conditional. ... Law of syllogism is used when you have two conditionals and the hypothesis of one matches the conclusion of the other.
Final answer:
In geometry, the law of syllogism allows for the combination of two conditional statements to reach a conclusion, while the law of detachment allows us to derive a conclusion from a known hypothesis and a conditional statement.
Explanation:
The Law of Syllogism and Detachment in Geometry
Both the law of syllogism and the law of detachment are forms of deductive reasoning used in geometry. The law of detachment is a process where we derive a conclusion from a single conditional statement and its hypothesis. For example, if we have a statement 'If a figure is a square, then it has four equal sides', and we know that a given figure is a square, we can deduce that this figure has four equal sides.
The law of syllogism, on the other hand, allows us to combine two conditional statements to derive a new conclusion. If we have two true statements, such as 'If an angle is acute, then it is less than 90 degrees' and 'If an angle is less than 90 degrees, then it is not a right angle', we can then conclude that 'If an angle is acute, then it is not a right angle'.
These laws form the backbone of logical reasoning in mathematics, allowing us to connect premises to reach valid conclusions and build upon established theorems and properties in geometry.
Solve the following absolute value equation |2x+3|=5
2x+3=5
Subtract 3 both sides
2x=5-3
Simplify
2x=2
Divide 2 each side
X= 2/2
Evaluate
X=1
Now second part
2x+3=-5
2x=-5-3
2x= -8
X=-8/2
X=-4
So x= 1,-4
Circle the largest decimal in each of the following groups.
a. 0.370, 0.307, 0.037, 0.3007
b. 0.404, 0.044, 0.44
c. 0.05, 0.049, 0.009, 0.1
d. 2.7, 2.5, 2.75
please helpp
A. 0.370
B. 0.44
C. 0.1
D. 2.75
Answer: a) 0.370 b) 0.440 c) 0.1 d) 2.75
Step-by-step explanation:
Since we have given that
a. 0.370, 0.307, 0.037, 0.3007
First we write it in the ascending order :
0.037<0.3007<0.307<0.370
So, the largest decimal = 0.370
b. 0.404, 0.044, 0.44
We write it in ascending order :
0.044<0.404<0.440
So, the largest decimal = 0.440
c. 0.05, 0.049, 0.009, 0.1
Ascending order :
0.009<0.049<0.05<0.1
So, the largest decimal = 0.1
d. 2.7, 2.5, 2.75
Ascending order :
2.5<2.7<2.75
So, the largest decimal = 2.75
joy knits a square blanket that has an area of 1,500 square inches . What is the approximant length for each side of the blanket ?
A. 16 inches
B.27 inches
c.39 inches
D. 42 inches
Jeff is an archetict and is drawing the plan for a room addition for a client. If the shape of the room is a cube, what is the volume in cubic feet if the length is 23 feet?
A.539
b.1024
c.12,167
D.32,768
Answer:
1) Option C - 39 inches
2) Option C - 12167 cubic feet
Step-by-step explanation:
1) Given : Joy knits a square blanket that has an area of 1,500 square inches
To find : What is the approximate length for each side of the blanket.
Solution: Area of square = 1500 square inches
Let the side of the blanket = s
Formula of area of square is [tex]A= s^2[/tex]
[tex]1500= s^2[/tex]
[tex]s= \sqrt{1500}[/tex]
[tex]s=38.7[/tex]
Approximately Side of blanket = 39 inches
Therefore, Option C is correct.
2) Given : Jeff is an architect and is drawing the plan for a room addition for a client. If the shape of the room is a cube.
To find : what is the volume in cubic feet if the length is 23 feet?
Solution: Length of side of a cube (a)= 23 feet
Let the volume of a cube = V
Formula of Volume of cube is [tex]V= a^3[/tex]
[tex]V= (23)^3[/tex]
[tex]V= 12167[/tex]
Volume of a cube = 12167 cubic feet
Therefore, Option C is correct.
The approximate length for the blanket is given as 27 inches. Option B
The volume of the room addition is 12167 cubic feet (option C)
How to solve for the volumeLet's solve each problem:
1. Side length = √(Area)
Side length = √(1500 square inches)
Side length ≈ √(25 * 60) square inches
Side length ≈ 5√60 inches
This can be simplified further, but as an approximate answer, the length of each side is approximately 27.39 inches.
Approximately B.27 inches
2. Volume = (Side length)³
Volume = (23 feet)³
Volume = 12,167 cubic feet
So, the volume of the room addition is 12167 cubic feet (option C).
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A package weighs 2.6 pounds how much do 8 of the same sized packages weigh
2.6 x 8
This will equal to 20.8 pounds
Why hello there
Your question: A package weighs 2.6 pounds how much do 8 of the same sized packages weigh
My answer: Well this answer is pretty simple. They key words are 2.6 8 and 8 of the same sized packages weigh. So you can conclude that you are multiplying.
Heres the equatiton for a better understanding
2.6 * 8 = 20.8
So your answer is 20.8
Important: If my answer did help you understand or even pass please mark me as brainliest thank you and have the best day ever!
So I have this little chart to fill but I don’t understand how to do that. I don’t know what to do. So what do I do?
Answer:
Insert a number into the x,
the middle column, you just substitute,
and the last column, you enter what x and y is.
Step-by-step explanation:
For example,
if x was 5, I would write 5 under the column,
under the y=2x+5 column, you would write y=2*5+5,
and under the last column you would write (5, 15)
|n-3|=5 solve for n and graph the solution set
[tex]|n-3|=5\iff n-3=5\ \vee\ n-3=-5\qquad|\text{add 3 to both sides}\\\\n=8\ \vee\ n=-2[/tex]
The solution for the equation |n-3|=5 is n=8, -2. These two points, when graphed on a number line represent the solution set.
Explanation:In Mathematics, the absolute value of a number can have two possible solutions because it represents the distance from zero, and distance is always positive. To solve the equation |n-3|=5, we need to break it down into two separate equations.
When the term inside the absolute value (n-3 in this case) is positive, the equation is simply n-3=5. Solving for n gives n=8.
When the term inside the absolute value is negative, the equation is -(n-3) = 5, or equivalently, 3-n=5. Solving for n in this case gives n=-2.
So the solution set for n is {8, -2}. To graph the solution set on a number line, draw a number line from -3 to 9 and put closed dots at n=-2 and n=8.
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The equation c=6.4w represents the cost c for w pounds of walnuts. Does a value of 2.5 for w make sense in this situation? Explain your reasoning
We are given equation: c=6.4w, where the cost c for w pounds of walnuts.
w represents the number of pounds of walnuts.
Number of pounds could be in decimals.
The value of w = 2.5 represents 2.5 pounds of walnuts.
On plugging w=2.5 in c=6.4w equation, we get.
c=6.4×2.5 = $16.
Therefore, for 2.5 pounds of walnuts the total cost is $16.
Hence, a value of 2.5 for w make sense in this situation. It shows that cost of 2.5 pounds of walnuts is $16, where cost of each pound of walnuts is 6.4.
Answer:
We are given equation: c=6.4w, where the cost c for w pounds of walnuts.
w represents the number of pounds of walnuts.
Number of pounds could be in decimals.
The value of w = 2.5 represents 2.5 pounds of walnuts.
On plugging w=2.5 in c=6.4w equation, we get.
c=6.4×2.5 = $16.
Therefore, for 2.5 pounds of walnuts the total cost is $16.
Hence, a value of 2.5 for w make sense in this situation. It shows that cost of 2.5 pounds of walnuts is $16, where cost of each pound of walnuts is 6.4.
Step-by-step explanation:
If a=2 and b=3 then what does ab^2 equal
If A=2 and B=3, then AB would be 23. 23 squared is 529.
Which of the following numbers is greatest, or furthest to the right on the number line? {56, 39, 74, 81, 62}
Answer:
Greatest vales is 81 which furthest to right on number line.
Step-by-step explanation:
Given : {56, 39, 74, 81, 62}.
To find : Which of the following numbers is greatest, or furthest to the right on the number line?
Solution : We have given {56, 39, 74, 81, 62}.
We know that on the number line left side from the zero is negative values and right sides of zero are positive values.
As we move forward in right sides vales increaes.
Lesser vales come at left and greater values comes at right.
39 ,56 ,62 ,74 ,81.
Greatest vales is 81 which furthest to right on number line.
Therefore, Greatest vales is 81 which furthest to right on number line.
The scale of a park map says that 2 cm represents 6 km. What is:
A. the distance ( cm ) on the map that represents an actual distance of 9 km?
B. the actual number of km that is represented by 5 cm on the map?
A planter in the shape of a cube has a volume of 1000in3 is the area of the base of the cube greater than or less than 1 square foot?explain
The cube volume is 10x10x10 inch3, so the base area is 10 inch x10 inch. On the other hand, we know that 1 square foot = 1 foot x 1 foot = 12 inch x 12 inch, so that is *greater* than the cube base.
Answer:
area of the base of the cube is smaller than 1 square foot
Step-by-step explanation:
since the volume of the cube is 1000 in^3 then its side must be (1000)^{1/3}
which is equal to 10 in
now, we know that area of the base of the cube will have an square cross section area= side^2
there area of base of the cube = 10^2= 100 sq in
now 1 foot= 12 in
therefore, 1 square foot = 12*12 square in = 144 sq in
clearly, area of the base of the cube is smaller than 1 square foot.
hope you liked the explanation.
-57=-6x+3 Help someone pls
x=10 hope this helps
answer: [tex]x = -10[/tex]
work:
[tex]-57=-6x+3[/tex] | subtract 3 and move it over to the 53, and solve.
[tex]-60 = 6x[/tex] | divide by 6 to -60, and solve.
[tex]-10 = x[/tex] | final answer.
hope this helps! ❤ from peachimin