Answer:
1. 58.0644
2. 0.01
3. 14.16
Step-by-step explanation:
1. V = l*w*h
v = 7.62*7.62*1
v = 58.0644
or
v = 7.62*7.62*6
v = 348.3864
v = 348.3864/6
v = 58.0644
2. 1cm/ 100 sticky notes = 0.01
6cm/ 600 sticky notes = 0.01
3. A=2πrh+2πr2
=2·π·1.5·2×0.002+2·π·1.52
=14.15602
The volume of each section will be 58.09364[tex]cm^3[/tex]. The height of one sticky note is 0.06 cm and the surface area of one sticky note is 0.02376 sq inch.
1)The volume of one sticky note can be calculated using the formula for the volume of a rectangular prism :[tex]V = l \times w \times h[/tex], where l is the length, w is the width, and h is the height.
Length (l) = 7.62 cm
Width (w) = 7.62 cm
Height (h) = 1 cm (for each colored stack)
Substituting the values into the formula:
V = [tex]7.62 cm \times 7.62 cm \times 1 cm[/tex]
V = 58.09364[tex]cm^3[/tex].
Since there are 100 sticky notes of each color, the volume of each section can be found by multiplying the volume of one sticky note by 100:
Volume of each section =[tex]58.09364 cm^3 \times 100[/tex]
Volume of each section = 5809.364 cm³
Method 2: Using the total volume of the stack and proportions
The total volume of the stack can be calculated by multiplying the area of the base (length × width) by the total height of the stack.
Given:
Length (l) = 7.62 cm
Width (w) = 7.62 cm
Height of stack = 6 cm
Volume of stack = l × w × height of stack
Volume of stack =[tex]7.62 cm \times 7.62 cm \times 6 cm[/tex]
Volume of stack = 349.52544[tex]cm^3[/tex] (rounded to five decimal places)
Since the stack contains 600 sticky notes in total and each section represents one-sixth of the stack, we can calculate the volume of each section by dividing the total volume by 6:
Volume of each section = Volume of stack divided by 6
Volume of each section =[tex]\dfrac{349.52544 }{6} cm^3[/tex]
Volume of each section = 58.25424 cm³ (rounded to five decimal places)
The height of one sticky note, we can divide the total height of the stack by the number of sticky notes of each color.
Method 1: Direct division
The height of one sticky note can be found by dividing the total height of the stack by the number of sticky notes in each colored section.
Height of stack = 6 cm
Number of sticky notes per color = 100
Height of one sticky note = [tex]\dfrac{Height of stack } {Number\ of \ sticky \ notes \ per \ color}[/tex]
Height of one sticky note =[tex]\dfrac{6}{100}cm[/tex]
Height of one sticky note = 0.06 cm
By Using proportions, method 2 can be solved
Since each colored section represents one-sixth of the stack, the height of one sticky note can be found by multiplying the height of the stack by [tex]\dfrac{1}{6}[/tex].
Height of stack = 6 cm
Height of one sticky note =[tex]Height of stack \times\dfrac{1}{6}[/tex]
Height of one sticky note =[tex]6\times \dfrac{1}{6}[/tex]
Height of one sticky note = 1 cm
To find the surface area of one sticky note in the circular stack, we need to calculate the surface area of the cylinder and then divide it by the number of sticky notes.
Total number of sticky notes = 400
Diameter of cylinder = 3 in
Height of cylinder = 0.8 in
[tex]\pi[/tex] = 3.14
Calculate the surface area of the cylinder using the formula for the lateral surface area of a cylinder:[tex]A = 2\pi rh[/tex], where r is the radius and h is the height.
Radius (r) = [tex]\dfrac{3}{2}[/tex] = 1.5 in
Lateral Surface Area (A) = [tex]2\pi rh[/tex]
A = [tex]2 \times 3.14 \times 1.5 \times 0.8[/tex] in
A = 9.504 sq inch (rounded to three decimal places)
Since there are 400 sticky notes, we can calculate the surface area of one sticky note by dividing the total surface area by 400:
Surface area of one sticky note = [tex]\dfrac{A}{Total\ number of \ sticky \ notes}[/tex]
Surface area of one sticky note = [tex]\dfrac{9.504 }{400}sq \ inch[/tex]
Surface area of one sticky note ≈ 0.02376 sq inch.
The volume of each section will be 58.09364[tex]cm^3[/tex]. The height of one sticky note is 0.06 cm and the surface area of one sticky note is 0.02376 sq inch.
Learn more about cylinder here:
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A function with an input of 1 has an output of 3. Which of the following could not be the function equation?
y= 3 x
y=-x+ 4
y=x-2
y= 2 x + 1
Answer:
y = x - 2 i think. Im sorry if im wrong..
kaii~
Jay has 195 baseball cards, Jen has 46 more than Jay, how many more cards does Jen have than Jay? (I will give brainliest)
Answer:
the total card of Jen will be 241 and 46 more cards Jen have than jay
can someone PLEASEEEE help me on this
Answer:
Step-by-step explanation: <
Answer:
(b) 1/3
Step-by-step explanation:
A function "zero" is a value of x that makes the value of the function be zero. It may also be called a "root" of the function. On a graph, it is an x-intercept.
The zeros are the solutions to the equation f(x) = 0. For a quadratic like the one given, there are two of them. For this function, they are distinct, so one will be larger than the other.
GraphThere are a number of ways the solutions to this equation can be found. Technology, in the form of a graphing calculator, can show you the x-intercepts easily (see attached). They are x=-2/5 and x=1/3.
FactoringWe can also factor the equation. Doing this requires that we find factors of the product (15)(-2) = -30 that have a sum equal to the coefficient of x, +1. Here are some factor pairs:
-30 = (-1)(30) = (-2)(15) = (-3)(10) = (-5)(6)
The corresponding sums are 29, 13, 7, 1. Hence the last factor pair, {-5, 6}, is the one we need.
Rewriting the 3-term polynomial to a 4-term polynomial by splitting the middle term using these factors, we have ...
15x² -5x +6x -2 = 0
Factoring pairs of terms gives ...
5x(3x -1) +2(3x -1) = 0
(5x +2)(3x -1) = 0 . . . . . . . factor out the common factor
The product of these factors can only be zero of one of them is zero. (This is the "zero product rule.") Setting the factors to zero, we find the values of x that make f(x) = 0: the zeros of the function.
5x +2 = 0 ⇒ x = -2/5
3x -1 = 0 ⇒ x = 1/3
The zeros of the function are -2/5 and 1/3.
The larger zero is 1/3.
YOOOOOOOOOOOOO HEELPPPPPPPPPPPPPPPP
Mathematics personal financial literacy
IF 2x3x4=24 then what is 6x4
Answer:
24
Step-by-step explanation:
This can be explained very simply.
Case 1 : 2 x 3 x 4 = 24
Case 2 : 6 x 4 = ?
We know that the product of 2 x 3 is 6. Therefore, in Case 1 and Case 2, when both 2 x 3 and 6 are multiplied by 4, they should give the same result. Hence, 6 x 4 is 24.
Draw as many different triangles as possible that have two sides of length 4 cm and a 45° angle. Clearly mark the side lengths and angles given.
(points per unique attached triangle illustration that is fitting this criteria).
Please help!
Answer:
this is a 45 angle in the picture i hope this helps
Step-by-step explanation:
12. If four coins are flipped, find the probability of obtaining two heads and two tails.
Answer: 1/16 or 0.0625
Step-by-step explanation:
The probability of getting a heads is 1/2, and the probability of getting a tails is 1/2. To find the probability of getting 2 heads and 2 tails, multiply the probabilities of each event together. 1/2 * 1/2 * 1/2 * 1/2 = 1/16.
Which point on the number line represents the approximate volume of a cone with a radius of 3 units and a height of 4 units? Use 3.14 for π.
Answer:
The point closest to the number 40
Step-by-step explanation:
To find volume of cone:
[tex]V=\pi r^{2} \frac{h}{3}[/tex]
(but in this case we will be substituting [tex]\pi[/tex] for it approximation: 3.14)
So our new equation is [tex]V= 3.14r^{2} \frac{h}{3}[/tex]
All right, let's get to work now.
Following the order of operations our first step would be: [tex]3^{2}[/tex] or 3x3 wich is 9Next step would be 3.14x9, which is 28.26After that we would solve [tex]\frac{4}{3}[/tex], which is 1.3 repeating but we can round to the nearest tenth and get 1.3Next we would multiply 28.26 by 1.3 which is 36.73800We would next round to the nearest whole and our final answer is: 37
Hope this helps and feel free to comment, ask questions, give feedback, and correct me if wrong!
Have a great day! :)
solve each equation
39 points !!!
Answer:
a) 25
b) 55
c) 63
Step-by-step explanation:
Complementary angles add up to 90.
90-65=25
Supplementary angles add up to 180.
180-125=55
Vertical angles are equal.
a.90-65=25
b. 180-125=55
c. 180-63=117
Which equation shows a proportional relationship between x and y?
there is a bag containing 26 tiles,each marked with a diffrent letter. what us the ratio of vowel tiles to consonant tiles?
A. 1:21
B. 5:21
C. 25:26
Answer:
B. 5 : 21
Step-by-step explanation:
Vowels: a, e, i, o, u= 5 vowels
Constants: b, c, d, f, g, h, j, k, l, m, n, p, q, r, s, t, v, w, x, y, z: 21 constants
v : c
5 : 21
Answer:
5:21
Step-by-step explanation:
There is 5 vowels in the alphabet.
There is 21 consonant in the alphabet.
So it is 5:21
Fill in the blanks in questions 8 through 10.
10. A wheel makes 8 revolutions per minute.
At this rate, the wheel will make 360 revolutions in _____________ minutes.
Answer:
45
Step-by-step explanation:
1 minute = 8 revolutions
x minutes= 360 revolutions
Divide 360 by 8
45
The wheel will make 360 revolutions in 45 minutes
Check your work:
If 45 minutes = 360 revolutions, and the wheel revolves 8 times per 1 minute, 8 revolutions x 45 minutes should equal 360 revolutions.
(it does)
The office building where Ryan works is made up of two cube-shaped pieces. At lunchtime, Ryan and his other office workers walk around the edge of the building for exercise. If the volume of the larger part is 65,000 m³and the volume of the smaller part is 4000 m³, what is the distance around the edge of the building?
Answer:
69000m³
hope i helped, if i didnt sry
Carmen made punch with 34 gallon of orange juice, 2 quarts of strawberries, and 2 pints of lime sherbet. How many pints of punch did Carmen make? Use the diagram to help you solve. Explain.
please explain and ANSWER this question for BRAINLIEST!
Answer:
[tex]155 in^{2}[/tex]
Step-by-step explanation:
Hope this work helps
How would 3 1/4 be written as a percent?
A: 0.0325%
B: 3.25%
C: 32.5%
D: 325%
Fractions are parts of a number. Decimals are fractions whose denominators are powers of 10. Percents are numbers out of 100. Therefore, you convert a fraction to a decimal, follow these steps:
Convert the mixed fraction into a whole fraction:[tex]3\frac{1}{4} = \frac{13}{4} = \frac{325}{100}[/tex]
Convert the fraction into a decimal:[tex]\frac{325}{100}[/tex] = 3.25
Convert the decimal into a percent by multiplying by 100:3.25 × 100 = 325%
Your answer is D
A certain reality TV show lost a total of 10000 viewers over the past 2 months. It lost the same number of viewers each month. How many viewers did they lose?
What do you think of when you hear the word statistics?
Answer:
Whenever I hear Statistics I think of numbers and the different probabilities
and I also sometimes think of numbers but overall, it depends on the sense of how it is being talked about I hear it about/the subject when people talk about statistics.
Hope this helps!
pls help me!!!!!!!!
thx u so much
Answer:
27. Class number 2
28. the highest number is 9
Step-by-step explanation:
H) A bar graph shows the favorite food of 20 people.
Does it make sense to describe the distribution of
these data?
Explain.
Answer:
No
Step-by-step explanation:
The data is discrete and so there would be nothing to compare in terms of distribution as there are no similarities between the different categories.
K + 1/4 = 5 1/8
It’s not 51 btw there’s a space
How do i write mixed numbers as an improper fraction?
Explain with examples.
Answer:
A mixed fraction can be written as an improper fraction by multiplying the whole number with the fraction's denominator and adding that to the numerator, and finally writing that result on top of the denominator.
Step-by-step explanation:
Answer:
You have to multiply the whole number by the denominator and then add the answer you get with the numerator.
Step-by-step explanation:
For example, the fraction 10 [tex]\frac{1}{3}[/tex] is a mixed number right? So then you multiply 10x3=30. Then you add 30+1=31. So then the answer would be [tex]\frac{31}{3}[/tex].
Hope this helps! Please give brainlist!
There were 160 containers containing 4/5 liters of oil each. 1/3 liter of oil was poured out of every container. 5/8 of the containers with lesser oil were then stored in a warehouse. The rest of them were bought by Roy. How much oil did Roy buy?
Answer:
Step-by-step explanation:
199.6 liter of oil
Please help, I'll give brainliest!
Step-by-step explanation:The given graph is a line graph, represents increasing and decreasing rainfall in six different years.The given graph misleads ,in terms of length, when amount of rainfall 4.6-3.9 is plotted with six different years 2006-2011. When rainfall decreases from 4.5 to 4.4, the decrease , in length of rectangle is less,should be equal, in comparison to when year increases from 2006 to 2007. It must be in the shape of Square.
Part B if instead of line graph, we will draw bar graph ,representing Amount of rainfall(4.5-3.0) on y axis in the month of July, to 6 different years from (2006-2011) on x axis,i think it will be least misleading.
What is the difference between these fractions?
+3/4−(+7/8)
Answer:
1/8
Step-by-step explanation:
3/4 is 6/8 and 6/8 - 7/8 is 1/8
Kevin has a spinner that has 10 equal sections and 2 sections of each color—red, blue, green, yellow, and purple. Kevin spins the spinner 180 times. Kevin determines about how many times the spinner will land on red or green, and his work is shown below.
P (red or green) = Number of red or green sections
-------------------------------------------------- x number of spins =
Total number of sections
2
------- (180) = 36
10
What mistake did Kevin make, if any?
A. Kevin has the formula reversed; it should be the total number of sections over
the number of red or green sections.
B. Kevin should have used a 4 in the numerator because there are 2 red sections
and 2 green sections.
C. Kevin should multiply by the number of sections in the spinner rather than the
total number of spins.
D. Kevin calculated the prediction correctly and did not make any mistakes.
A train travels at an average speed of 80 km/h. How long will it take the train to travel 320 km?
Answer:
4 hours
Step-by-step explanation:
If the train travels at ~80 kilometers per hour, you just divide the total distance (in this case, 320 kilometers) by the speed traveled (80 kilometers). 320/80 = 4 hours.
Find the areas of the figures below.
Answer:
1. 158 sq units
2. 225 sq meters
3. 303 sq units
Step-by-step explanation:
10x14=140+(6x3)=140+18=158
(7x7)+(16x11)=49+176=225
(9x2)+(15x19)=18+285=303
29. MULTIPLE CHOICE What is the median of the data set? (Skills Review Handbook)
12, 25, 16, 9, 5, 22, 27, 20
(A) 7 (B) 16 (C) 17 (D) 18
Answer:
15.75
Step-by-step explanation:
first add
12+25+16+9+5+22+27+20=126
then divide by how ever many numbers there are in this case there's 8:
126÷8=15.75