The amount of ice cream that can fit into the cone is about 9.24 in³.
What is volume?
Volume is the amount of space occupied by a three dimensional shape and object. The volume of a cone is given by:
Volume (V) = (1/3) * π * radius² * height
From the dimensions of radius = 1.4 in and height = 4.5 in, hence:
V = (1/3) * π * 1.4² * 4.5 = 9.24 in³
The amount of ice cream that can fit into the cone is about 9.24 in³.
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Using the volume of the cone, it is found that 9.24 cubic inches of ice cream will fit inside.
What is the volume of a cone?The volume of a cone of radius r and height h is given by:
[tex]V = \frac{\pi r^2h}{3}[/tex]
In this problem, the cone has a radius of 1.4 inches and a height of 4.5 inches, hence r = 1.4, h = 4.5, then:
[tex]V = \frac{\pi 1.4^2(4.5)}{3} = 9.24[/tex]
9.24 cubic inches of ice cream will fit inside.
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Simplify
Write your answer using only positive exponets.
[tex]x {}^{n} .x {}^{m} = x {}^{n + m} [/tex]
Similarly:[tex]x { }^{ \frac{1}{2} } .x {}^{ \frac{ - 1}{6} } .x {}^{ \frac{ - 5}{2} } = x {}^{ \frac{1}{2} - \frac{1}{6} - \frac{5}{2} } [/tex]
We have to achieve a common denominator which is 6 here:[tex]x {}^{ \frac{3 - 1 - 15}{6} } =x {}^{ \frac{ - 13}{6} } [/tex]
To change our exponent to positive:
[tex]x {}^{ \frac{ - 13}{6} } = \frac{1}{x {}^{ \frac{13}{6}}} = \frac{1}{ \sqrt[6]{x {}^{13} } } = \frac{1}{x \sqrt[6]{x} } [/tex]
ASAP.
A sphere has a radius of 15 inches. What is the volume of the sphere, in cubic inches? (Use 3.14 as an approximation of pi.)
Based on the calculations, the volume of this sphere is equal to 14,130 cubic inches.
Given the following data:
Radius of sphere = 15 inches.
[tex]\pi =3.14[/tex]
How to calculate the volume of a sphere.Mathematically, the volume of a sphere is given by this formula:
[tex]V=\frac{4}{3} \pi r^3[/tex]
Where:
V is the volume.r is the radius.Substituting the given parameters into the formula, we have;
[tex]V=\frac{4}{3} \times 3.14 \times 15^3\\\\V=\frac{4}{3} \times 3.14 \times 3375\\\\V=\frac{42390}{3}[/tex]
V = 14,130 cubic inches.
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Bill has a bag of 24 marbles. 6 are blue, 12 are red, 3 are black and 3
are green. What are the percentages of each colour?
Answer:
Blue: 25%
Red: 50%
Black: 12.5%
Green: 12.5%
Step-by-step explanation:
Blue: [tex]\frac{6}{24} = 0.25[/tex]
Red: [tex]\frac{12}{24} = 0.5[/tex]
Black: [tex]\frac{3}{24} = 0.125[/tex]
Green: [tex]\frac{3}{24} = 0.125[/tex]
HELLLLPPP!!!!! HELLLPPP!!!!!!! HEELLLLLLPPP!!! MEEEEE!!!!! HELLLLPPP MEEEEE!!!!!!!
The gray rectangle is the image of rectangle ABCD after a sequence of transformations.
Which could be the sequence of transformations that results in the gray rectangle?
A. Reflection over the y-axis, then dilation with center (0, 0) and a scale factor of 3/2
B. Reflection over the y-axis, then dilation with center (0, 0) and a scale factor of 1/2
C. Rotation 90° clockwise about the origin, then dilation with center (0, 0) and a scale factor of 1/2
D. Translation right 12 units, then dilation with center (0, 0) and a scale factor of 3/2
REWRITE IN FUNCTION FORM
Solve the formula for the red variable.
2y+ 5x = 6
Need answer to this linear algebra question.
Selected answer is not necessarily correct.
your selected answer us correct
The quadratic formula can be used to solve an equation only if the highest
degree in the equation is
Α. Ο
B. 3
C. 2
D. 1
Answer:
2
Step-by-step explanation:
A dairy researcher has developed a new technique for culturing cheese that supposedly ages the cheese faster than the traditional methods, without affecting other properties like texture or taste. To implement this new technique, the cheese company would need to initially spend millions of dollars retrofitting their manufacturing plant. But if it does actually reduce the aging time of their cheese, even marginally, it will lead to higher profits for the company over time.In an experiment the researcher uses both methods of culturing cheese to see if the new method significantlyreduces aging time.a.Write an appropriate null and alternative hypothesis for this experiment. (2pt)
Answer:
Null hypothesis: There is no significant difference in aging time of old methods of culturing cheese and the new method of culturing cheese.
Or
H0:μ1=μ2.
Alternative hypothesis: The new method of culturing cheese reduces aging time as compared to old method of culturing cheese
Or
Ha:μ1>μ2.
Step-by-step explanation:
We are interesting in investigating that whether the the new method of culturing cheese significantly reduces aging time compared to old method of culturing cheese. Null hypothesis always contain equality so, in null hypothesis we make the statement of no difference among both methods of culturing cheese. So, null hypothesis can be written as
Null hypothesis: There is no significant difference in mean aging time of old methods of culturing cheese and the new method of culturing cheese.
Or symbolically it can be written as
H0:μ1=μ2
whereas μ1 represents mean aging time for old method and μ2 represents mean aging time for new method.
Alternative hypothesis includes difference in methods which in this case is the claim about new method of culturing cheese reduces aging time. So, it means that mean aging time of old method will be greater than mean aging time of new method. So, the alternative hypothesis can be written as
Alternative hypothesis: The new method of culturing cheese reduces mean aging time as compared to old method of culturing cheese
Or symbolically it can be written as
Ha:μ1>μ2
whereas μ1 represents mean aging time for old method and μ2 represents mean aging time for new method.
help me please important
Answer:
Color the blank with the color that matches the fraction.
Step-by-step explanation:
if the fraction is 1/2, your color is green, 1/3 is orange, 9/12 is red, 5/6 is brown, 2/3 is purple, 1/3 is blue.
Evaluate the algebraic expression 4y + x - w, when w = 12, x = 10, y = 5 and z = 9.
Answer:
Step-by-step explanation:
4y+x-w
4(5)+10-12
20+10-12
30-12
=18
hope dis helps
What are the three steps to solve a quadratic equation?
Answer:
factoring, using the quadratic formula, and completing the square.
Step-by-step explanation:
7+5m=48
What’s the answer
Answer:
41/5
Step-by-step explanation:
7+5m=48
5m=41
m=41/5
Joann Brandy Mile in physical education class after resting for one hour her heart rate was 60 beats per minute if a heart rate was decreased by 2/5 what was her heart rate immediately after she ran the mile
27:144 in the form of 1 : n
Answer:
( rounded to 3 decimal place ) 1 : 5.33...
Step-by-step explanation:
A paddle boat can move at a speed of 12 km/h in still water. The boat is paddled 8 km downstream in a river in the same time it takes to go 4 km upstream. What is the speed of the river?
8. Mr. Dietrich's class is 17/25 boys. What percentage of the class is boys? *
Answer:
68%
Step-by-step explanation:
Now we can see that our fraction is 68/100, which means that 17/25 as a percentage is 68%.
Answer:
68%
Step-by-step explanation:
17/25=x/100
100/25=4
17*4=68
Is this statement true or false?
Ore is a chunk of rock that contains a large amount of metal. Most minerals come from rock that is mined from the Earth’s crust^,^
Describe the shape of the given histogram.
The given histogram is uniform histogram.
Since we know that,
A histogram is a graphical depiction of data distribution in statistics. The histogram is represented by a series of neighboring rectangles, with each bar representing a different type of data.
Statistics is a branch of mathematics that is used in a variety of areas. When numbers are repeated in statistical data, this repetition is known as Frequency, and it may be put down in the form of a table, which is known as a frequency distribution.
A Frequency distribution may be represented graphically using several types of graphs, one of which is a Histogram.
Based on the frequency distribution of the data, the histogram may be categorised into distinct categories. Normal distribution, skewed distribution, bimodal distribution, multimodal distribution, comb distribution, edge peak distribution, dog food distribution, heart cut distribution, and so on are all examples of distributions. These many sorts of distributions can be represented by the histogram.
A histogram can be of several types:
Histogram that is uniform
Histogram with symmetry
Histogram with two modes
Probability distribution histogram
A uniform distribution demonstrates that the number of classes is too small, with the same amount of components in each class. It might involve a distribution with many peaks.
Since we can see in the given histogram,
The average frequency is 5
And almost all the bars are ending at 5
Hence,
This histogram is uniform histogram.
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6
8
10
2
2
-
C D
3
a.
n = 30
x = 3
b.
3
W = -
4
C.
d.
12 = 1 -
3
ما | نا
Please select the best answer from the choices provided
Ο Α
ОВ
Step-by-step explanation:
please write clearly and row wise understand problem
can uuuu helpppppppppppp
Answer:
A
Step-by-step explanation:
Use the above 3 points, base = 1, height = 1, so area is 1/2
What is the volume of a matchbox which measures 11cm by 6.4cm by
3cm?5) Small boxes measuring 3cm by 2cm by 1cm are packed into a large box which measures 15cm by 12 cm by 10cm. What is the
volume of:
a) the small boxes?
b) the large box?
c) How many small boxes will fit into the large box?
Step-by-step explanation:
the volume of a box is always
length × width × height
in our first case here :
11 × 6.4 × 3 = 211.2 cm³
the volume of the small boxes is
3 × 2 × 1 = 6 cm³
the volume of the large box is
15 × 12 × 10 = 1,800 cm³
so,
1800/6 = 300 small boxes will fit into the large box.
because the dimensions of the small boxes are factors of the dimensions of the large box (3 is a factor of 15, 2 is a factor of 12, 1 is a factor of 10), it will be a perfect fill without any unused leftover pockets of space.
so, truly 300 small boxes will fit into the large box.
A fraction bar. The top bar is labeled 1. 6 bars underneath the bar are labeled one-sixth. 12 bars underneath the 6 bars are labeled StartFraction 1 Over 12 EndFraction. What is StartFraction 4 Over 6 EndFraction divided by StartFraction 3 Over 12 EndFraction The quotient is .
15 POINTS
Answer:
its 2 and 2/5 the person above me is wrong
Step-by-step explanation:
Answer:
above me is correct
Step-by-step explanation:
Teacher Jonna received 8 1/2 reams of paper from the school administration for this school year. She still has 1 5/8 reams of paper left from last year. Yesterday she used 2 3/4 reams of paper to make copies of a science activity for her students.How many reams of paper does she have left?
Answer:
She should have 8 5/8 reams of paper left
!!!!!!!!!!!!!!!!!!!!!!!!×
Answer:
[tex] \frac{45}{10} - \frac{19}{10} = \frac{26}{10} [/tex]
which of the following is a prime number a23 b49 c 69 d27
Answer:
Hello
a.23
Step-by-step explanation:
49 is divisible by 7...
69 is divisible by 3..
27 is divisible by 3..
23 has only 1 and 23 as its factors.....
Which algebraic expression represents the phrase "seven more than half of a number"?
07-1/2x
0-7+ 1/2x
o 1/2x+7
0-1/2x -7
Answer:
1/2x+7
Step-by-step explanation:
seven more than half of a number is (x/2) + 7.
The correct option is (C).
What is Algebra?Algebra, a discipline of mathematics where abstract symbols rather than concrete numbers are subjected to arithmetic operations and formal transformations. The idea that there is such a separate branch of mathematics, as well as the term algebra to identify it, came about gradually through time. tries to find solutions to equations that contain one or more unknown quantities. Although early mathematicians would not have been familiar with such a concept, the word "equation" is frequently employed to conveniently represent these operations when discussing the early history of algebra.
We have to find an algebraic expression which represents the phrase "seven more than half of a number".
Consider a number x,
half of x = (x/2)
seven more than half = (x/2) + 7
Hence, seven more than half of a number is (x/2) + 7.
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4/10m is the width and 8/10 is the height what is the area of the rectangle
Answer:
.32
Step-by-step explanation:
Two lines have the same slope and y-intercept. Describe the graph of the system of equations representing the two lines.
Answer:
Parallel lines.
Step-by-step explanation:
If the two linear equations have the same slope (and the SAME y-intercept), the equations represent the same line. Since a line intersects with itself everywhere, there will be an infinite number of solutions (intersecting everywhere.)
If two equations have the same slope and the same y-intercept, then they are the same line and an infinite solution .
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
We have three cases in terms of slope and intercept:
The system has precisely one solution if the slopes of the two lines differ (whether the lines have the same intercept or different intercepts).There exists an infinite number of solutions to the system if they share the same slope and intercept, making them the same line.If they are parallel and have different intercepts but the same slope, there is no solution.So, The identical numerical values used for x and y in the first solution will also work for the second because these lines have an infinite number of solutions.
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paano nararating ang mabuting pasya?
Answer:
mararating MO yan pang isipan mabuti lahat ng kilus at galaw Mag tanung sa mga tao mas nakakatanda sayo.
Factor completely 64x^2-1
Answer:
(8x-1)(8x+1)
Step-by-step explanation:
64x^2-1
(take the square roots of both sides)
(8x-1)(8x+1)