Answer:
37/16
Step-by-step explanation:
Dante bought a new graduated cylinder for his chemistry class. It holds 662.7 milliliters of liquid. If the cylinder has a radius of 4.7 cm, then how tall is the cylinder? (Note: 1 milliliter is equal to 1 cubic centimeter)
A.
141 cm
B.
19,881 cm
C.
30 cm
D.
70.5 cm
Given:
Dante bought a new graduated cylinder for his chemistry class.
Volume of the cylinder = 662.7π milliliters of liquid
Converting to cubic centimeter, we get;
Volume of the cylinder = 662.7π cm³
Radius of the cylinder = 4.7 cm
We need to determine the height of the cylinder.
Height of the cylinder:
The height of the cylinder can be determined using the formula,
[tex]V=\pi r^2 h[/tex]
Substituting the values, we have;
[tex]662.7 \pi=\pi (4.7)^2h[/tex]
[tex]662.7 \pi=\pi (22.09)h[/tex]
Dividing both sides by 22.09π, we get;
[tex]30=h[/tex]
Therefore, the height of the cylinder is 30 cm.
Hence, Option C is the correct answer.
The calculated height of the graduated cylinder is approximately 30 cm, which is option C.
To determine how tall Dante's graduated cylinder is, given it holds 662.7π milliliters (mL) of liquid, we should use the formula for the volume of a cylinder, V = πr²h, where 'V' is the volume, 'r' is the radius, and 'h' is the height.
Since 1 milliliter is equivalent to 1 cubic centimeter (cm³), we have V = 662.7π cm³, and the radius 'r' is given as 4.7 cm. Inserting these values into the formula and solving for 'h' gives us:
V = πr²h
662.7π cm³ = π × (4.7 cm)² × h
662.7π cm³ = π × (22.09 cm²) × h
662.7π cm³ = 22.09π × h
h = 662.7 cm³ /22.09
h ≈ 30cm
Therefore, the height of the cylinder is approximately option c. 30 cm.
The above question is incomplete, the complete question is:
Dante bought a new graduated cylinder for his chemistry class. It holds 662.7π milliliters of liquid. If the cylinder has a radius of 4.7 cm, then how tall is the cylinder? (Note: 1 milliliter is equal to 1 cubic centimeter)
A.
141 cm
B.
19,881 cm
C.
30 cm
D.
70.5 cm
Simplify the expression x^3+125/x+5 and then evaluate the resulting expression of x=-5
Answer:
[tex]-145[/tex]
Step-by-step explanation:
Step 1: Set x to -5
[tex]x^3+125/x+5[/tex]
[tex](-5)^3 + 125/-5 + 5[/tex]
[tex]-125 - 25 + 5[/tex]
[tex]-145[/tex]
Answer: [tex]-145[/tex]
There are 28 seats in the front row of a theater. Each successive row contains
two more seats than the previous row. If there are 24 rows, how many seats are in the last row of the theater?
Answer:
28+2*(24-1)= 74
Answer: 74
Step-by-step explanation:
Artaud noticed that if he takes the opposite of his age and adds 38 he gets the number 27. How old is
Artaud?
Answer:
11
Step-by-step explanation:
Let his age be x then the opposite of his age is - x, then
- x + 38 = 27 ( subtract 38 from both sides )
- x = - 11 ( multiply both sides by - 1 )
x = 11
Thus he is 11 years old
The shape on the left is transformed to the shape on the right. Which of the following statements describes the transformation?
A. MNOP → M'N'O'P'
B. M'N'O'P' → MNOP
C. P'O'M'N' → MOPN
D. MNOP → O'P'M'N'
The shown transformation is described by the statement:
MNOP → M'N'O'P'
So the correct option is A.
How to define a transformation?
Here we have a transformation that enlarges and rotates our original rectangle, with vertices M, N, O, and P.
Transformations do not act only on figures, they act on every point on the plane, so we could apply the same transformation to each one of the vertices, in such a way, we will get:
M → M'N → N'O → O'P → P'.Writing all of these together, we just get:
MNOP → M'N'O'P'
So the correct option is A.
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The following data show the number of items in different shoppers' baskets at the health food store:
5, 1, 4, 3, 2, 3, 3, 4, 3
The data have been organized into a dot plot, as shown below:
A dot plot with integers 1 to 5 is shown. It is labeled Items and titled Items in Baskets. There is 1 dot above 1, 2 dots above 2, 4 dots above 3, 2 dots above 4, and 1 dot above 5.
For which number are the data plotted incorrectly? (2 points)
Answer:
There is two dots above 2 if this stays correct then 2 dots above 4 is incorrect.
Step-by-step explanation:
As there is only 1 ( 2 dot ) there should not be two dots above 2.
if f(x) = -x2 + 4x - 9 and g(x) = x - 8, find g(f(-1))
Answer:
-22
Step-by-step explanation:
f(x) = -x2 + 4x - 9
g(x) = x - 8,
g(f(-1))
First find f(-1)
f(-1) = - (-1)^2 + 4(-1) - 9 = -1 -4-9 = -14
The find g(-14)
g(-14) = -14-8 = -22
Rewrite as a simplified fraction.
0.2 = ?
Answer:
1/5
Step-by-step explanation:
When changing a decimal to a fraction, think of the decimal "out of 1." In mathematical terms, "out of" generally means division.
For example on this question, think of 0.2 as 0.2 out of 1, which would be shown as 0.2/1
To more easily simplify this, multiply both the top and bottom by 10
0.2/1 x 10/10
You are able to do this because 10/10 is equal to 1 and multiplying by a number and 1 results in the same number.
Then you get 2 /10 . Both 2 and 10 are divisible by 2
2 /2 = 1 and 10 /2 = 5
So the final answer is 1/5
What is the sum of (6p^2+3) and (6-5p^3+3p^2)
the sum of (6p^2+3) and (6-5p^3+3p^2) is
[tex](6p^2+3)+(6-5p^3+3p^2)= 6p^2+3+6-5p^3+3p^2=-5p^3+9p^2+9[/tex]
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
P.S. Hello from Russia :^)
\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/
Answer:
9 P ^ 2 + 9 - 5 p ^ 3
Step-by-step explanation:
6p^ 2 + 3 + 6 - 5p ^ 3 + 3p ^ 2
estimate the square root of 27 to the nearest whole number
show how you got the answer
Final answer:
To estimate the square root of 27, find the two nearest perfect squares which are 25 (5 squared) and 36 (6 squared). Since 27 is closer to 25, the square root of 27 is estimated to be 5.
Explanation:
To estimate the square root of 27 to the nearest whole number, we should look for two consecutive perfect squares between which 27 lies. The perfect squares closest to 27 are 25 (which is 5 squared) and 36 (which is 6 squared). The square root of 25 is 5 and the square root of 36 is 6. Since 27 is closer to 25 than to 36, we estimate that the square root of 27 is closer to 5. But, because 27 is more than 25, we know it must be slightly greater than 5, so the nearest whole number would be 5.
A right pyramid with a regular hexagon base has a
base edge length of 4 ft and a height of 10 ft.
WY represents the height
If the area of an equilateral triangle with sides of 4 ft is
4/3 square feet, then the area of the regular hexagon
base is
6 3 square feet.
The volume is
vs
Answer:
Height, 24, 80, and cubic feet
Step-by-step explanation:
I just did this on edge-unity and it gave me that.
Area of the regular hexagon base is 24√3 square feet and the volume of the same is 80√3 cube feet.
What is Area?Area of a two dimensional shape is the total region which is bounded by the object's shape.
Given that,
The base of a right pyramid is regular hexagon.
Edge length of regular hexagon = 4 feet
Area of equilateral triangle with sides 4 feet = 4√3 square feet
A regular hexagon can be divided in to 6 equilateral triangles.
Area of the base of the pyramid = 6 × area of an equilateral triangle
= 6 × 4√3
= 24√3 square feet
The volume of a hexagonal pyramid = [tex]\frac{\sqrt{3} }{2}[/tex] b² h
where h is the height and b is the edge length of the base.
Height of the pyramid = 10 feet and b = 4 feet
Volume = [tex]\frac{\sqrt{3} }{2}[/tex] 4² × 10 = 80√3 cube feet
Hence the area of the base is 24√3 square feet and volume is 80√3 cube feet.
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On a circular playground, the distance from its center to the edge of the playground is 37 feet. What is the approximate circumference of the playground? (Use 3.14 for .)
A.
17,194.64 ft
B.
4,298.66 ft
C.
116.18 ft
D.
232.36 ft
Step-by-step explanation: Its D.
Circumference equals 2 * pi * radius. Your radius is 37 feet. So 2*2.14*37
and that equals 232.36
Final answer:
The circumference of a circular playground with a radius of 37 feet, using 3.14 for pi, is approximately 232.36 feet. The correct answer is option D.
Explanation:
To calculate the circumference of a circular playground, we can use the formula C = 2πr, where π (pi) is approximately 3.14 and r is the radius of the playground. In this case, the radius is given as 37 feet.
Substituting the values, we get:
C = 2 × 3.14 × 37
C = 2 × 3.14 × 37
C = 6.28 × 37
C ≈ 232.36 feet
Therefore, the approximate circumference of the playground is 232.36 feet.
Plz help will give brainiest to the first person who answers this correctly plz helpppp!!!!
Its B please brainleiest
The questions on a test consist of 10 multiple choices, 3 essays, and 9 free responses. If the questions are ordered randomly, what is the probability that the first question is a free response?
• Give your answer as a fraction
Answer:
[tex]\frac{9}{22}[/tex]
Step-by-step explanation:
add all qestions together 10+3+9=22
and put the number of free responces on top of the total number of qestions
[tex]\frac{9}{22\\}[/tex]
and you cant simplify it so its in its simplist form
The probability that the first question is a free response is 9/22.
Probability is used to determine how likely it is that an event would occur. The chances that an event would happen 0 and 1. A value of 0 is attached to an event that does not occur and 1 if the event happens.
For example, if the probability that a football team plays a game. The probability that the team would win is 1 and the probability that the team would lose is 0.
The probability that the first question is a free response is the ratio of the number of free response to the total number of questions.
The probability that the first question is a free response = number of free responses / total number of questions
Number of free responses = 9
Total number of questions = 9 + 10 + 3 = 22
=9/22
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5!·4! is equivalent to:
Answer:
20!
Step-by-step explanation:
Answer:
2880 or 20!
Step-by-step explanation:
Whenever you have a number with a (!) after it, it means that the number is in factorial. So if you have a equation like 3!, it would be equal to 3·2·1. So in that case—
5! = 1·2·3·4·5
We can multiply this sequence of numbers simply.
1·2·3·4·5=120
Now, since we have the first factorial, we move on to the second.
4!=1·2·3·4
Again, we can multiply this sequence simply.
1·2·3·4=24
Now we move on to the final step. We have factoriazed the numbers, so we can substitute those in the equation.
120·24
Now we can finally multiply these 2 numbers to get your answer.
120·24=2880
That is the evaluation.
If you want to simplify the expression, multiply the numbers.
4!·5!=20!
James cut out four parallelograms, the dimensions of which are shown below. Parallelogram 1 length: 12 in. width: 15 in. diagonal: 20 in. Parallelogram 2 length: 16 in. width: 30 in. diagonal: 34 in. Parallelogram 3 length: 20 in. width: 21 in. diagonal: 29 in. Parallelogram 4 length: 18 in. width: 20 in. diagonal: 26 in. James put the parallelograms together so one vertex from each paper exists on a point, as shown in the circle. 4 parallelograms are put together so that one vertex from each paper exists on a point. Which statement explains whether or not the parallelgrams can be put together so each occupies one-quarter of the area of the circle without overlapping any other pieces? Check all that apply. The quadrilaterals can be placed such that each occupies one-quarter of the circle. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 1 do not form right angles. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 2 do not form right angles. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 3 do not form right angles. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 4 do not form right angles.
Answer:
the answer is b and e
Step-by-step explanation:
Answer:
B and E
Step-by-step explanation:
The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 1 do not form right angles.
The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 4 do not form right angles.
6⁄5 × 1 3⁄4 × 2 3⁄2 =
Answer:
147/20 = 7,35
Step-by-step explanation:
6/5 × 7/4 × 7/2 = 3/5 × 7/4 × 7 = 147/20 = 7,35
At boarding school, students spend 1/4 of their time eating and sleeping, 3/5 of their time in class, and 1'12 studying. The rest of the time is considered free time, which the student can spend doing activities of their own choosing. What fraction is considered free time?
Answer:
1/15 of their time is free time.
Step-by-step explanation:
To find the answer to this 2-step problem, we have to add all the fractions up, then find how much of that time is not part of the fraction.
So to add all the fractions, you have the equation:
1/4 + 3/5 + 1/12
The first thing we have to do is to find a common denominator.
4, 5, and 12 are each able to multiply into 60.
So we can make the equation now with a common denominator.
15/60+36/60+5/60=56/60.
We now can simplfy this.
56/60=14/15
Now that we know how long it is to do all the other activities, it tells us that the rest of the time is free time. To find the rest of the time, we have to do:
1-14/15=1/15
So 1/15 of their time is free time.
The total time spent is 14/15 and the free time is 1/15 if students spend 1/4 of their time eating and sleeping, 3/5 of their time in class, and 1'12 studying.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
At boarding school, students spend 1/4 of their time eating and sleeping, 3/5 of their time in class, and 1/12 studying
Add all the fractions:
= 1/4 + 3/5 + 1/12
= 14/15
Free time = 1 - 14/15
= 1/15
Thus, the total time spent is 14/15 and the free time is 1/15 if students spend 1/4 of their time eating and sleeping, 3/5 of their time in class, and 1'12 studying.
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The graph below shows the relationship between the number of rides someone can ride and the total cost for three different amusement parks. Write and equation for Busters.
The correct interpretation is that the slope of the line is indeed 15, indicating that the cost of one admission ticket is $15, and point (1, 15) represents the unit rate.
The correct answer is option B.
The given graph illustrates the relationship between the number of people in a group and the cost of admission tickets. The statement correctly identifies that the slope of the line on this graph represents the unit rate of admission tickets.
The slope of a line on a graph signifies the rate of change between the two variables involved. In this context, the horizontal axis (x-axis) represents the number of people in a group, while the vertical axis (y-axis) represents the cost of admission tickets.
To compute the slope, you select two points on the line. The statement correctly utilizes the points (0, 0) and (1, 15) for this purpose. The slope formula, which is the change in y divided by the change in x, is applied as follows:
Slope = (y2 - y1) / (x2 - x1)
In this instance, x1 = 0, y1 = 0, x2 = 1, and y2 = 15. Substituting these values into the formula yields:
Slope = (15 - 0) / (1 - 0) = 15 / 1 = 15
This signifies that for each additional person in the group, the cost of admission tickets increases by $15. Consequently, $15 represents the cost of one admission ticket, and the point (1, 15) represents the unit rate.
Therefore, the conclusion that option B is the answer is accurate.
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The question probable may be:
The graph below shows the relationship between the number of people in a group and the total cost of admission tickets for a circus
Raven is reading at half past 7. Her dad sets a timer for 45 minutes so she knows when
she needs to go to bed.
What time does she go to bed?
Answer:8:15
Step-by-step explanation: Because half past 7 means 7:30 and 7:30 + 45 minutes = 8:15.
how to determine the rate of change by looking at graph?
Solve the equation.
5x + 8 - 3x = -10
x = -9
x = -1
x = 1
x = 9
Answer: A, x= -9
I have a site that I will tell you about if you want
Answer:
a
Step-by-step explanation:
Is the answer -165° -125° 125° or 165° pleas help quickly
Answer:
125
Step-by-step explanation:
mark me brainliest pls? brainliest for brainliest
Answer:
165 I just did it
Step-by-step explanation:
The Deep Creek State Forest is a 380-acre state forest located 11 miles north of St. Augustine, Florida. The cottontail rabbit population in this forest grows at the rate of 5% monthly. If there are 175 rabbits in forest in September, find how many rabbits should be expected by next September. Use the formula: y=175(2.7)0.05t y = 175 ( 2 . 7 ) 0 . 05 t . Round your answer to the nearest whole number. The cottontail rabbit population next September is expected to be rabbits. (Round your answer to the nearest whole number)
Answer:
By next September, the estimated population would be 284 cottontail rabbits
Step-by-step explanation:
The formula that express the growth of the rabbits is
Y = 175(2.7)0.05t
Y = number of rabbits
Where t = time in months.
The growth of the rabbits in 12 months would be. Since from one September to another equal 1 year which is 12 months.
Y = 175(2.7)0.05(12)
Y = 283.5 = 284 rabbits
The estimated population of cottontail rabbits by next September is 284 rabbits
If a triangle has one angle that measures 62.5o and another angle that measures 77o , then what is the measurement of the last angle?
Answer:
40.5 degrees
Step-by-step explanation:
A triangle's angles all add up to 180 degrees, so to solve this all you need to do is add the two numbers you have and subtract them from 180.
62.5+77+x=180
139.5+x=180
-139.5 -139.5
x=40.5
To find the measurement of the last angle in a triangle, subtract the sum of the known angle measurements from 180 degrees. Given angles of 62.5° and 77°, the measurement of the last angle is 40.5°.
The question involves finding the measurement of the last angle in a triangle given the measurements of the other two angles. In Euclidean geometry, it is established that the sum of the angles in a triangle equals 180 degrees. Given that one angle measures 62.5° and another measures 77°, we can find the last angle by subtracting the sum of these two angles from 180 degrees.
Step 1: Add the measurements of the two known angles: 62.5° + 77° = 139.5°.
Step 2: Subtract this sum from 180°: 180° - 139.5° = 40.5°.
Therefore, the measurement of the last angle in the triangle is 40.5°.
answer to be named brainliest get a thank you and a 5 star vote
Meagan was given 20 math problems and she has completed 14 of them. What percentage of the problems does she have left to do?
Question 5 options:
3%
30%
70%
7%
Answer:
30%
Step-by-step explanation:
Meagan completed 14/20 math problems. 14÷20 is 0.7
So she completed 70% of those math problems. The question is How many does she have left?
So she has 30% left to complete.
Not yet answered Marked out of 100 Flag question
Find the volume of a rectangular prism 3 inches high, 14 inches wide, and 9
inches long,
A line passes through the point
Answer:
Step-by-step explanation:
y + 20 = 3(x + 4)
y + 20 = 3x + 12
y = 3x - 8
answer is b
y = 2x + 1
y = -x + 4
2y = -2x + 8
3y = 9
y = 3
3 = 2x + 1
2x = 2
x = 1
Answer
x = 1
y = 3
Hope this helps :)
(2+76+1+9)+4-3x9
Hi I’m doing homework right now and I don’t really get order of operations.
Answer:
65
Step-by-step explanation:
You should follow the PEMDAS rule. You first solve what is in the parenthesis, followed by the multiplication and division, then addition or subtraction. However depending on your equation you can switch the order of addition and subtraction
Answer:
65
Step-by-step explanation:
(2+76+1+9)+4-3x9
Parentheses first
(2+76+1+9)
88
Replace it in the equation
88+4-3x9
The exponents (we dont have any)
The multiply and divide
88+4-27
Then add and subtract
65