Answer:
I think so
Step-by-step explanation:
A new cylindrical can with a diameter of 4cm is being designed by a local company. The surface area of the can is 140 square centimeters. What is the height of the can? Estimate using 3.14 for pi and round to the nearest hundredth. Apply the formula for the surface area of a cylinder SA=2B+Ph
The height of the can of cylinder shape is 9.14 cm.
What is a cylinder?
In mathematics, a cylinder is a three-dimensional solid that maintains two parallel bases separated by a curved surface at a specific distance. These bases frequently have a circular shape (like a circle), and an axis connects their respective centres.
We are given the diameter as 4 cm.
So, the radius is 2cm.
Also, it is given that the surface area of the can is 140 square centimeters.
So, using the surface area of cylinder, we get
⇒Area = 2πr (h + r)
⇒140 = 2π * 2 (h + 2)
⇒140 = 4π (h + 2)
⇒140 = 4 * 3.14 * (h + 2)
⇒140 = 12.56 * (h + 2)
⇒11.14 = h + 2
⇒h = 9.14
Hence, the height of the can of cylinder shape is 9.14 cm.
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Which is the better definition of line of best fit?
A line of best fit guides a line through a scatter plot of data points that best describes the association between those points.
What is line of best fit?
A line of best fit guides a line through a scatter plot of data points that best describes the association between those points. Statisticians typically utilize the least squares approach to arrive at the geometric equation for the line, either through manual computations or regression analysis software.
A line of best fit can be approximately specified utilizing an eyeball the method by marking a straight line on a scatter plot so that the numeral of points above the line and below the line stands about equal (and the line passes via as many points as possible).
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Which variation is represented by this situation:
A building that is 6 stories tall has a shadow that is 22 meters long. How many stories tall is a building with a shadow that is 40 meters long?
Answer:
The answer is approximately 11 stories
Step-by-step explanation:
6 stories------->22 meters
x stories---------->40 meters
\(x = \frac{6 \times 40}{22} \)
x≈11 stories
Write the exponent for the expression. 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5
Answer:
8
Step-by-step explanation:
It would be 5 to the 8th power since there are 8 fives being multiplied
Answer:
5 = 5^1
5x5 = 5^2
5x5x5 = 5^3
see a pattern here?
exponents are just a shorthand way of writing multiplication, just as multiplication is a short way of writing addition:
2*2 + 2+2
3*2 = 2+2+2
etc.
Step-by-step explanation:
The locker's combination code
consists of one letter and 3 digits.
How many possible different codes
exist, if the letter can be A or C and
must come first, and the digits can
be repeated?
The number of different codes as the letters A or C must come first and digits can be repeated is 2000
Permutation and Combination:Permutations and combinations are a subset of the study of finite, discrete structures that are known as combinatorics. Combinations include the selection of items without respect to order, whereas permutations are precise selections of elements within a set where the order of the elements is significant.
Here we have,
The locker combination code consists of one letter and 3 digits
Here we need to find the number of different codes If the letter A or C must come first and digits can be repeated.
Given that the first letters are A and C
Here number of ways that A and C can be chosen at first = 2
As we know Number of digits = 10 [ including 0, 0 to 9 ]
Number of arrangements that can be chosen from 10 digits
= 10 × 10 ×10 [ Since repetition is allowed ]
Therefore,
The possible number of different codes = 2 × 10 × 10 ×10 = 2000
Therefore
The number of different codes as the letters A or C must come first and digits can be repeated is 2000
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A director of an animal shelter reviews information regarding animal adoptions. The number of dogs adopted increased an average of 20 dogs per month for 4 months. Which expression represents this change in the number of dogs adopted?
Answer:
Step-by-step explanation:
Approximately 3.2 million shelter animals are adopted each year (1.6 million dogs and 1.6 million cats). About 710,000 animals who enter shelters as strays are returned to their owners. Of those, 620,000 are dogs and only 90,000 are cats.
Help quick please look at pic to solve
The required equation that represent the hanger is 10 + 5x = 11 and the value of x is 1/5.
Given the diagram of the hanger which one side has 10 + 5x and other side has 11.
To find the equation, equate the expression of one side to the numerical value of the other side. On solving the equation gives the value of x.
Thus, the equation is 10 + 5x = 11.
Consider the equation 10 + 5x = 11
On subtracting 10 from each side gives,
5x = 1
Divide each side by 5 gives,
x = 1/5.
Hence, the required equation that represent the hanger is 10 + 5x = 11 and the value of x is 1/5.
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Need help With these math questions
Answer:
ion know
Step-by-step explanation:
i think its -6,-50 and 5,70
Polygon ABCD is drawn with vertices A(−4, −4), B(−4, −6), C(−1, −6), D(−1, −4). Determine the image coordinates of B′ if the preimage is reflected across y = 3.
B′(−4, 6)
B′(−4, 12)
B′(−1, −3)
B′(10, −6)
question 9: please help me asap !!!!
Answer:
8a-2ab
Step-by-step explanation:
5a-2b+2b+3a-2ab
Simplify 'a'
5a+3a=8a
Simplify 'b'
2b+2b=4b
8a-2ab
Choose the 3 correct answers please! ( Branliest )
Answer:
Option A,B,E are equivalent.
Step-by-step explanation:
What we are given: Expression
To find : Which expressions are equivalent to given expression ?
Solution :
We solve the expression and check,
A) Yes it is equivalent.
B) Yes it is equivalent.
C) No it is not equivalent.
D) No it is not equivalent.
E) Yes it is equivalent.
Therefore, Option A,B,E are equivalent.
Step-by-step explanation:
Hope this Helps =)
Answer:
A , C , EStep-by-step explanation:
Answer A :\( - 30(3 + 2w) \\ - 30(3) - 30(2w)\\ - 90 - 60w\)
It's equivalent. ✔️
Answer B :\(( - 9 - 6w) - 10 \\ - 9 - 6w - 10 \\ - 19 - 6w\)
It's not equivalent. ✖️
Answer C :\( - 3(30 - 20w) \\ - 3(30) -3(20w) \\ - 90 - 60w \\ \)
It's equivalent. ✔️
Answer D :\((6 + 4w) \times 15 \\ 15(6)+ 15(4w) \\ 90 + 60w \\ \)
It's not equivalent. ✖️
Answer E :\( - 20(4.5 + 3w) \\ -20(4.5) -20(3w) \\ - 90 - 60w \\ \)
It's equivalent. ✔️
Find the point P on the line yequals=33x that is closest to the point (60 comma 0 )(60,0). What is the least distance between P and (60 comma 0 )(60,0)?
Answer:
\(18\sqrt{10}$ units\)
Step-by-step explanation:
We are given the equation of the line y=3x and a point, say Q(60,0) outside of that line.
We want to find the point on the line y=3x which is closest to Q.
Let P(x,y) be the desired point. Since it is on the line y=3x, it must satisfy the line.
If x=a, y=3a, so the point P has the coordinates (a,3a).
Distance between point Q and P
\(=\sqrt{(60-a)^2+(0-3a)^2}\\D =\sqrt{10a^2-120a+3600}\)
To minimize D, we find its derivative
\(\dfrac{dD}{da}=\dfrac{10a-60}{\sqrt{10a^2-120a+3600} }\\$Setting \dfrac{dD}{da}=0\\10a-60=0\\10a=60\\a=6\)
Therefore, the y-coordinate for P is 3*6=18.
The point P=(6,18).
Next, we calculate the distance between P(6,18) and (60,0).
\(D =\sqrt{10(6)^2-120(6)+3600}\\=\sqrt{3240}\\=18\sqrt{10}$ units\)
Determine the probability of rolling a die and getting a 2
then a 5.
The probability of rolling a die and getting a 2, then a 5, is 1/36.
To determine the probability of rolling a die and getting a 2, then a 5, we need to multiply the probabilities of each event happening.
First, let's consider the probability of rolling a die and getting a 2. Since there are six equally likely outcomes when rolling a fair six-sided die (numbers 1 to 6), the probability of rolling a 2 is 1/6.
Now, let's consider the probability of rolling a die and getting a 5. Again, there are six equally likely outcomes, so the probability of rolling a 5 is also 1/6.
To find the probability of both events happening, we multiply the probabilities:
Probability of rolling a 2 and then a 5 = (1/6) * (1/6) = 1/36.
Therefore, the probability of rolling a die and getting a 2, then a 5, is 1/36.
It's important to note that each roll of the die is an independent event, meaning that the outcome of one roll does not affect the outcome of the next roll. Therefore, the probability of rolling a 2 and then a 5 remains constant at 1/36 regardless of previous rolls or the order in which they occur.
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what is ionic bonding
\(2 \sqrt{180} }{?} } \)
Answer:
Ionic bonding is a form of chemical connection in which one atom loses valence electrons and gains them from another.
Step-by-step explanation:
Write an expression to represent the product of 6 and the square of a number plus 15. In your expression what is the value of the coefficient? A. 1 B. 6 C. 15 D. 2
Answer:
B) 6
Step-by-step explanation:
Let the number be x
Product of 6 and square of number plue 15 : (6x²) + 15
Coefficient of x² = 6
In a recent international sport competition the top three countries country A country B and country C won a total of 120 medals. country B won 11 more medals than country C .country A won 38 more medals than the total amount won by the other two . how many medals did each of the top three countries won.
An equation is formed of two equal expressions. The medals won by country A, country B, and country C is 79, 26, and 11, respectively.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the number of medals won by country A, country B, and country C be represented by A, B, and C, respectively. Now, the given conditions can be written as,
1.) The top three countries country A, country B, and country C won a total of 120 medals.
A + B + C = 120
2.) Country B won 11 more medals than country C
B = C + 11
3.) Country A won 38 more medals than the total amount won by the other two.
A = B + C + 38
A - 38 = B + C
Substitute the value of B+C form the last equation to the first equation,
A + A - 38 = 120
A = 79
Now, Substitue the value of A and B(from second equation) in the first equation,
79 + C + 11 + C = 120
C = 15
Now, substitute the value of C in the second equation,
B = C + 11
B = 15 + 11
B = 26
Hence, the medals won by country A, country B, and country C is 79, 26, and 11, respectively.
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solve ((-3) x (10 + (-7))) to the power of 2 divided by 3 - (-9) to the power of 2)
The solution of the given expression will be 9/16.
What is an expression?Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given an expression, [-3*(10+(-7))]²÷[(3-(-9)]²
= [-3*(10+(-7))]²÷[(3-(-9)]² = (-9)²/12²
= 9/16
Hence, The solution of the given expression will be 9/16.
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Based upon these results, how many two-dozen tulip arrangements should the florist expect to sell if it anticipates 4,600 more customers?
Without additional details, we cannot determine the number of two-dozen tulip arrangements the florist should expect to sell with the anticipated 4,600 more customers.
To determine the number of two-dozen tulip arrangements the florist should expect to sell if they anticipate 4,600 more customers, we need to examine the given results and make a reasonable assumption based on the available information.
Unfortunately, the given results or information regarding the number of tulip arrangements sold or the relationship between customers and sales are not provided. Without this data, it is not possible to accurately estimate the number of arrangements that will be sold with an additional 4,600 customers.
To make an accurate prediction, we would need more information such as the average number of tulip arrangements sold per customer or any patterns or trends observed in the sales data.
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If c = 2m + d, then m is equal to
Answer:
m= c/2 - d/2
Step-by-step explanation:
Hope this helps.
Answer:
m=c-d/2
Step-by-step explanation:
Final question - whats the answer?
Answer: 7^5 or 7 to the fifth power.
Step-by-step explanation: This is an exponent meaning you count the 7’s and in the first picture there’s 5 7’s. This means that the number your putting to a power is the yellow box so that’s 7 and the exponent is 5 not 4 because if you did 7 to the first power it’s still 7 so it would be 7 to the 5th power or 7^5
a number is divisible by 10 if it has ____ in ones place .
Answer:
A number is divisible by 10 if it has a zero in ones place.
Step-by-step explanation:
We know that 10= 2 x 5 .So to be divisible by 10 we have to be divisible by both 2 and 5As we know ,Numbers divisible by 2 are even numbers and numbers divisible by 5 if it has a zero or a five in ones place . From that, we have A number is divisible by 10 if it has a zero in ones place.Identify the slope and y intercept of each graph. Drag the 3 points to the correct places on the graph drag and adjust the line so it goes through the points on the line
Y = 2x - 5
M =
B =
Answer:
slope: 2 , y-int: (0, -5)
Step-by-step explanation:
Which expressions are equivalent to the given expression?
y-8y3x0x-2
Equivalent expressions are expressions that have equal values
The equivalent expressions of \(y^{-8}y^3x^0x^{-2}\) are \(x^{-2}y^{-5}\) and \(\frac{1}{x^2y^5}\)
The expression is given as:
\(y^{-8}y^3x^0x^{-2}\)
Express x^0 as 1
\(y^{-8}y^3x^0x^{-2} = y^{-8}y^3 \times 1 \times x^{-2}\)
Apply law of indices
\(y^{-8}y^3x^0x^{-2} = y^{-8 + 3}\times x^{-2}\)
\(y^{-8}y^3x^0x^{-2} = y^{-5}\times x^{-2}\)
Remove the product sign (x)
\(y^{-8}y^3x^0x^{-2} = y^{-5}x^{-2}\)
Rewrite as:
\(y^{-8}y^3x^0x^{-2} = x^{-2}y^{-5}\)
Rewrite as positive exponents
\(y^{-8}y^3x^0x^{-2} = \frac{1}{x^2y^5}\)
Hence, the equivalent expressions of \(y^{-8}y^3x^0x^{-2}\) are \(x^{-2}y^{-5}\) and \(\frac{1}{x^2y^5}\)
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The temperature during a winter day was less than 8 degrees Fahrenheit. Digby wants to write an inequality for the temperature during the winter day. What constant should Digby use in the inequality?
The constant that will be used in Digby's linear inequality will be 8.
What are linear inequalities, exactly?
Inequality is a mathematical statement that states that neither side is equal. When a link causes a non-equal comparison between two expressions, an inequality develops. The inequality symbols, such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), or not equal to symbol (≠), replace the equal sign "=" in the sentence. In mathematics, inequalities are classified into three types: polynomial inequalities, rational inequalities, and absolute value inequalities.
The characters '<' and '>' denote severe inequalities, whereas " ≤ and ≥ " denote slack inequalities.
Now,
Given that The temperature during a winter day was less than 8 degrees Fahrenheit.
let x be the temperature in degree Fahrenheit
then the linear inequality to show the statement will be
x<8 where 8 is a constant
Hence,
The constant that will be used in Digby's linear inequality will be 8.
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Answer:
The awnser is 8.
Step-by-step explanation:
i just know<33
4. In the figure, | lines and m are perpendicular. Describe <1 and <2
They are not related.
They are corresponding angles.
They are right angles.
The angles ∠1 and ∠2 are right angles.
How to find find angles in perpendicular lines?In the figure, | lines and m are perpendicular. Therefore, let's describe the relationship between angle 1 and angle 2 as follows;
Perpendicular lines are lines that intersect at a 90 degrees angle.
In other words, a perpendicular lines are two lines that intersect each other and the angle formed between the two lines should be equal to 90 degrees .
Therefore, the ∠1 and ∠2 are right angles.
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A truck can be rented from Company A for $100 a day plus $0.30 per mile. Company B charges $50 a day plus $0.80 per mile to rent the same truck. Find the number of miles in a day at which the
rental costs for Company A and Company B are the same.
Atmiles, the rental costs are the same from either company.
Answer:
100 miles
Step-by-step explanation:
Let m be the number of miles.
\(100 + .30m = 50 + .80m\)
\(100 = 50 + .50m\)
\(.50m = 50\)
\(m = 100\)
Answer:
100
Step-by-step explanation:
You can put into a graph such as desmos and see where the lines intersect. the x value of the intersection is the answer you want.
Write 461 in Roman numerals
Stanley is also considering buying a house in Cape Cod. Cape Cod is much smaller than the Jersey Shore with only 15 towns that can be affected by floods. You have collected the following data. # of floods per town per summer # of towns having these losses 0 2 1 4 2 ?3 5 4 1 a. Calculate the probability distribution for frequency based on the information provided above. (2 points) b. Stanley would like to know which location faces the most risk for floods between the Jersey Shore and Cape Cod? Show/explain how you came to this answer
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
\(P_1 = 0.1333\) , \(P_2 = 0.266\), tex]P_3 = 0.200\), \(P_4 = 0.333\) , \(P_5 = 0.067\)
b
The location with most risk for flood is the location with 5 towns
Step-by-step explanation:
From the question we are told that
The total number of town is n = 15
Generally the missing number of town is mathematically evaluated as
\(k = 15 - [2 + 4 + 5 + 1 ]\)
=> \(k = 3 \)
Generally the probability distribution for frequency is mathematically represented as
\(P = \frac{A}{B}\)
Here A is the number of town having these losses (i.e each row under the number of towns having the losses column)
B is the total number of towns
Considering column one
\(P_1 = \frac{2}{15}\)
\(P_1 = 0.1333\)
Considering column two
\(P_2 = \frac{4}{15}\)
\(P_2 = 0.266\)
Considering column three
\(P_3 = \frac{3}{15}\)
\(P_3 = 0.200\)
Considering column four
\(P_4 = \frac{5}{15}\)
\(P_4 = 0.333\)
Considering column five
\(P_5 = \frac{1}{15}\)
\(P_5 = 0.067\)
Looking at the table we see that the region with 5 towns receive 3 floods per town and this region of 5 towns has a higher probability distribution for frequency compared to the other region. hence the location with most risk for flood is the location with 5 towns
9) The 50 cars used by a firm were inspected. 10 had faulty brakes and 15 had faulty tyres. There were 2 cars with faulty brakes but good tyres. How many cars had good brakes and good tyres? The answer is 33
Based on the information, there are 25 cars with good brakes and good tires.
How to calculate the valueTotal cars = 50
Cars with faulty brakes = 10
Cars with faulty tires = 15
Cars with faulty brakes and good tires = 2
Let's calculate the number of cars with good brakes and good tires:
Cars with faulty brakes or faulty tires = Cars with faulty brakes + Cars with faulty tires - Cars with faulty brakes and good tires
= 10 + 15 - 2
= 25
Cars with good brakes and good tires = Total cars - Cars with faulty brakes or faulty tires
= 50 - 25
= 25
Therefore, there are 25 cars with good brakes and good tires.
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perimiter question asap answer
The perimeter of the figure is 58 m.
To find the perimeter of the given figure we can divide the figure in three rectangles.
Rectangle 1:
Perimeter= 2 (l + w)
= 2(5 + 2)
= 2 x 7
= 14 m
Rectangle 2:
Perimeter= 2 (l + w)
= 2(5 + 1)
= 2 x 6
= 12 m
Rectangle 3:
Perimeter= 2 (l + w)
= 2(14 + 2)
= 2 x 16
= 32 m
So, the perimeter of the figure is
= 14 + 12 + 32
= 58 m
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