Answer:
4186.6 cm³[tex] \: [/tex]
Step-by-step explanation:
In the question, it is given that a sphere has a radius of 10 cm and we have to find the volume of the sphere.
To Find the volume of the cone, we must know this formula :
[tex]\\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { Volume_{(sphere) }= \dfrac{4}{3} \: \pi {r}^{3}}}}}}}} \\ \\[/tex]
Now, we will substitute the values in the formula :
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 3.14 \times {(10)}^{3}}}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 3.14 \times 1000}}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 3140}}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4 \times 3140}{3} }}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{12560}{3} }}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= 4186.6 }}}}}} \\ \\[/tex]
Therefore,
The volume of the sphere is 4186.6 cm³Given :
Radius of sphere is 10 cm.To Find :
Volume of sphere.Solution :
As we know that volume of sphere is calculated by the formula :
V = 4/3 πr³Here,
V is volume r is radius Value of π is 22/7Putting the values in the formula,
>> V = (4 / 3) × (22 / 7) × (10)³
>> V = (4 / 3) × (22 / 7) × (10 × 10 × 10)
>> V = (4 / 3) × (22 / 7) × (10 × 100)
>> V = (4 / 3) × (22 / 7) × 1000
>> V = 4 × 22 × 1000 / 3 × 7
>> V = 88 × 1000 / 3 × 7
>> V = 88000 / 3 × 7
>> V = 88000 / 21
>> V = 4190.47 cm³
(Need help fast due today and will fail if not done today!) Select True or False for each statement about the function y = 8x2 − 4.
Answer:
1. False
2. True
3. False (Not sure about this one)
4. True
5. False
A bird bath that is 4 ft. tall casts a shadow that is 6ft. long. find the length of the shadow that 6 ft. tent casts.
a) 9ft.
b) 3ft.
c) 10ft.
d) 4ft.
Answer:
a) 9 ft.
Step-by-step explanation:
The bath and the tent along with their shadows and the ground make 2 similar triangles. So:
4/6 = 6/x
4x = 36
x = 9 ft.
In Exercises 4 and 5. graph the polygon and its image after a reflection in the given line.
Simplify the expression.
Answer:
D
Step-by-step explanation:
Given :
[tex]\sqrt[5]{224x^{11}y^{8} }[/tex]Solving :
The maximum number of x we can bring out is 11/5 = 2The maximum number of y we can bring out is 8/5 = 1The maximum number of 2 we can bring out : 224 = 2⁵ x 7 = 5Hence :
[tex]\sqrt[5]{224x^{11}y^{8} }[/tex]2x²y [tex]\sqrt[5]{7xy^{3} }[/tex]DAnswer:
D. [tex]\huge 2x^2y\sqrt[5]{7xy^3}[/tex]
Step-by-step explanation:
[tex]\huge\sqrt[5]{224.x^{11}.y^8}[/tex] (Given)[tex]=\huge\sqrt[5]{2^5.7.x^{10+1}.y^{5+3}}[/tex] [tex]=\huge\sqrt[5]{2^5.7.x^{10}.x.y^{5}.y^3}[/tex] [tex]=\huge 2.x^2.y\sqrt[5]{7.x.y^3}[/tex] [tex]=\huge 2x^2y\sqrt[5]{7xy^3}[/tex]cos(19pi/3)=?
Pls help me :(
Answer:
Step-by-step explanation:
Remove full rotations of [tex]2\pi[/tex] until the angle is between 0 and [tex]2\pi[/tex].
[tex]cos(\frac{\pi }{3} )[/tex]
The exact value of [tex]cos(\frac{\pi }{3})[/tex] is [tex]\frac{1}{2}[/tex].
[tex]\frac{1}{2}[/tex]
The result can be shown in multiple forms.
Exact Form:
[tex]\frac{1}{2}[/tex]
Decimal Form:
[tex]0.5[/tex]
Vocabulary:
Rotation
A transformation in which a figure is rotated through a given angle, about a point.
Angle
The union of two rays with a common endpoint, called the vertex.
What is the circumference of the following circle? Diameter=3 Radius=1.5
Answer: 3π in terms of pi or 9.42 if in π or pi= 3.14
Step-by-step explanation:
3. The Wang family has a take-home income of $45 000 per year. If they budget 22% for rent, how much rent would they budget for the year? How much for each month?
Answer:
Step-by-step explanation:
45000 x %22 = 9900 per year
9900/12=825 per month
Find the mean of the data.
9, 56, 24, 59, 2
Answer:
24 because it is the middle number
Step-by-step explanation:
The data below represents the weight, in kilograms, of 15 containers shipped from a factory in one week.
Match the letter with the correct term that would be necessary to complete the box and whisker plot.
Box and whisker plot has shown in the picture which shows different measures of the data set.
What is the box and whisker plot?A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.
We have data:
45, 51, 53, 55, 55, 65, 75, 81, 84, 87, 93, 93, 95, 96, 100
Sample size: 15
A = (c) The Lowest value (45)
B = (e)Lower quartile Median (55)
C = (b) Median (81)
D = (d) Upper quartile (93)
E = (a) The Highest value (100)
Thus, box and whisker plot has shown in the picture which shows different measures of the data set.
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Help im failing my math class
Answer:
88 m^2
Step-by-step explanation:
We can split the parallelogram into three shapes. 1 square and 2 triangles.
To find the area of a square, multiply one side by another side that does not face it. To find the area of a triangle, divide the base by half OR multiply the base by 0.5, and then multiply by the height.
Since these shapes are all pieces of the parallelogram, add together their total areas to get the area of the parallelogram.
Square: 7 x 8
Triangle: 0.5 x 4 x 8 or 4/2 x 8
(7 x 8) + 2 x (0.5 x 4 x 8)
56 + 2 x (2 x 8)
56 + 2 x 16
56 + 32
56 + 32 = 88 m^2
Directions: Find the slo
(-13, 8) and (3, 12)
Answer:
slope =.25
Step-by-step explanation:
I assume this is asking to find the slope?
graph this equation and you'll see that the run is 16 and the rise is 4.
rise/run
4/16 = .25
Characterize the slope of the line in the graph.
Which expression represents the volume, in cubic units, of the shaded part of the sphere? four-thirdsπ(103) four-thirdsπ(43) four-thirdsπ(103) – four-thirdsπ(43) four-thirdsπ(203) four-thirdsπ(43) four-thirdsπ(203) – four-thirdsπ(43)
The volume of the shaded part in cubic units is 4/3π(20)³ - 4/3π(4)³
Volume of composite objectThe sphere is a a solid 3-dimensional object. THe formula for calculating its volume is expressed as:
V = 4/3πr³
where:
r is the radius of the sphere
For the outer sphere:
V = 4/3π(20)³
For the inner sphere:
V = 4/3π(4)³
The volume of the shaded part in cubic units is 4/3π(20)³ - 4/3π(4)³
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Answer:
D
Step-by-step explanation:
Which function could be represented by the graph on the coordinate plane? f(x) = (x – 8)2 6 f(x) = (x 8)2 6 f(x) = (x 8)2 – 6 f(x) = (x – 8)2 – 6
Considering it's vertex, the quadratic equation that could be represented on the plane is given as follows:
f(x) = (x - 8)² - 6.
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
Researching the problem on the internet, it is found that the given graph has vertex at (8,-6), hence h = 8, k = -6 and considering a = 1 the equation is given as follows:
f(x) = (x - 8)² - 6.
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which graph represent the liner function y= -5x + 2?
A
B
C
D
Answer:
A
Step-by-step explanation:
if you say x=0 than y=2
if you say y=0 then x=2/5
you observe those values in the first graph
2 1/3 ÷ 1 3/4-2.6÷1.3
pls i rlly need help anything will help
Answer:
The answer is -2/3
Step-by-step explanation:
Multiply by the reciprocal:
7/3 / 1/4 x 2
Simplify expression:
7/3 x 4/7 -2
Calculate:
1/3 x 4 -2
4/3 - 2
= -2/3
Solve this system of equations by
using the elimination method.
3x + 3y = 18
2x+y = 4
([?], [ ])
Answer:
solution: (x,y)=(-2,8)
Step-by-step explanation:
1) 3x+3y=18
2x+y=4
2) -x-y=-6
2x+y=4
3) x=-2
4) 2x(-2)+y=4
5) y=8
6) (x,y)=(2,8)
and that is :D
100 POINTS!!!Each of the four angles of a quadrilateral measures 90°. How many rectangles can you construct using this condition? A.0 B.1 C.2 D.4 E.infinitely many
Karim is painting a design on a cylindrical
barrel. the height of the barrel is 1.2 m.
the radius of its base is 0.3 m. what area
will the paint have to cover? (remember to
include the bottom and lid of the barrel.)
Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero. Which statement must be true?
The pool must have been empty for the entire interval.
The pool must have been the same depth at the start of the interval as it was at the end of the interval.
The pool must have been deeper at the end of the interval than it was at the start of the interval.
The pool must have been more shallow at the end of the interval than it was at the start of the interval.
The correct answer is option B which is the pool must have been the same depth at the start of the interval as it was at the end of the interval.
What is the rate of change?The rate of change is defined as the changes that occur in any data with respect to time like changing of level of water respect to time. Changing of the position of any object with respect to time that is speed.
Here in the question, it is given that Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero. The meaning of this statement is that the level of the water in the pool is the same as that of the level two weeks ago.
Therefore the correct answer is option B which is the pool must have been the same depth at the start of the interval as it was at the end of the interval.
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are all natural numbers also a whole number? (yes/no)
Answer:
Yes
Step-by-step explanation:
Natural numbers are positive integers such as 1, 2, 3, etc., (sometimes zero as well). As such, they are indeed whole numbers, so the statement is true.
Hi, I need help with arithmetic sequence and I don't really know what to do.
Answer:
Step-by-step explanation:
Answer:
choice 2
Step-by-step explanation:
Arithmetic sequences arare linear. The common difference is the slope. The points given are (3,10) And (5,26).
The slope is the change of y (26-10=16) over the change of x (5-3=2); this is 16/2=8.
The equation of line in slope-intercept form whose slope is given as 8 is y=8x+b.
We may plug in a point to solve for b.
Let's plug in (3,10):
10=8(3)+b
10=24+b
10-24=b
-14=b
So the equation we are lookinlooking for is y=8x-14 which is choice 2.
The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents the number of years since 2014, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, estimate the calendar year in which the number of new cases would reach 579.
The linear regression equation that represents this data set is equal to y = 120.8x + 2,114.
How to write the linear regression equation?First of all, we would determine the slope of the given data set by using this formula:
[tex]Slope = \frac{\sum (x-\bar x)(y-\bar y)}{\sum (x-\bar x)^2}[/tex]
For the sample mean (years), we have:
[tex]\bar x = \frac{0\;+\;1+\;2\;+\;3\;+4}{5} \\\\\bar x =\frac{15}{4} \\\\\bar x =3.75[/tex]
For the sample mean (cases), we have:
[tex]\bar y = \frac{904\;+\;900+\;833\;+\;837\;+754}{5} \\\\\bar y =\frac{4,228}{4} \\\\\bar y =1057[/tex]
The sums are given by:
∑(x - |x|) = (0 - 3.75) + (1 - 3.75) + (2 - 3.75) + (3 - 3.75) + (4 - 3.75)
∑(x - |x|) = - 3.75 - 2.75 - 1.75 - 0.75) + 0.25
∑(x - |x|) = -8.75.
∑(x - |x|)² = (-8.75)² = 76.5625.
∑(y - |y|) = (904 - 1057) + (900 - 1057) + (833 - 1057) + (837 - 1057) + (754 - 1057)
∑(y - |y|) = -153 - 157 - 224 - 220 - 303
∑(y - |y|) = -1,057.
∑(x - |x|)(y - |y|) = -8.75 × -1057
∑(x - |x|)(y - |y|) = 9,248.75.
Now, we can determine the slope:
Slope = 9,248.75/76.5625
Slope = 120.8.
Therefore, the equation is given by:
y = 120.8x + a
Next, we would find the value of a:
1057 = 120.8(-8.75) + a
a = 1057 + 1,057
a = 2,114.
Hence, the linear regression model is given by:
y = 120.8x + 2,114.
Since the new cases would reach 579, the calendar year would be calculated as follows:
579 = 120.8x + 2,114
120.8x = 579 - 2,114
120.8x = -1,535
x = -1,535/120.8
x = -12.71.
Year = 2014 + 12.71
Year = 2026.71 ≈ 2027.
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Need help please answer ASAP!
Answer:
See below ~
Step-by-step explanation:
Question 18
Diameter = Difference in y-coordinatesDiameter = 12 - 2 = 10We know : Radius = Diameter/2Radius = 10/2Radius = 5 cm(1) 5 cmQuestion 19
3x² - 34x - 24 = 0(3x + 2)(x - 12) = 0Solution set = {-2/3, 12}(3) {-2/3, 12}#1
Length of diameter
√(2-2)²+(2-12)²√(-10)²10unitsLength of radius=10/2=5
#2
3x²-34x-24=0(x-12)(3x+2)=0x=12 or -2/3Solution set
{-2/3,12}Is X/3=5+3y/4 a linear equation
Answer:
Yes
Step-by-step explanation:
Linear EquationsA linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.
What is a Linear Equation?An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line.
The volume of Earth is approximately 1 x 10^12 cubic kilometers. The volume of Mercury is approximately 6 x 10^10 cubic kilometers. About how many times bigger is Earth’s volume than Mercury’s?
Answer:
Volume of the Earth is about 16.67 times bigger than Mercury's volume.
Step-by-step explanation:
Given:
[tex]V_E = 1 \times 10^{12} \text{ km}^3\\V_M = 6 \times 10^{10} \text{ km}^3[/tex]
[tex]V_E[/tex] is the volume of the Earth and [tex]V_M[/tex] is the volume of the Mercury.
Divide volume of the Earth with the volume of Mercury.
[tex]\frac{V_E}{V_M} = \frac{1 \times 10^{12} \text{ km}^3}{6 \times 10^{10} \text{ km}^3} = \frac{1 \times 10^{2}}{6} = \frac{100}{6} = \frac{50}{3} \approx 16.67[/tex]
Volume of the Earth is about 16.67 times bigger than Mercury's volume.
Factorize (x-q) (2f+k)-f(r-q)
Answer:
..........................
Help me find the angle H equals in the attachment. I am running out of time pls help quick!!!
Answer:
Angle H is 133
Step-by-step explanation:
(h-48)+95=180
solve it and you will get 133
Answer:
133°
Step-by-step explanation:
from the diagram,
(h- 48)° +95°= 180° ( angles on a straight line)
h-48+95 = 180°
h+47 = 180
collect like terms
h = 180-47= 133°
which represents possible choices for the third missing side of the triangles given the other two sides?
1st side 30ft
2nd side 21ft
answer choices
a 9ft<51ft
b 9ft
c 30ft
d 0ft
Based on the triangle inequality theorem, the possible length of the third side of the triangle is: 9 < x < 51
What is the Triangle Inequality Theorem?The triangle inequality theorem states if a and b are two sides of a triangle, the possible length of the third side would be: a + b < x < a - b.
Two given sides of the triangle are 30 ft and 21 ft. The possible length of the third side of the triangle would be:
30 - 21 < x < 30 + 21
9 < x < 51
Possible length of the third side would range between: 9 < x < 51
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PLS HURRY ON CURRENTLY I WILL GIVE BRAINLIST
A box plot is titled Daily Reading Time and labeled Time (min). The left most point on the number line is 15 and the right most point is 55. The box is labeled 21 on the left edge and 48 on the right edge. A vertical line is drawn inside the rectangle at the point 37. The whiskers are labeled as 16 and 53
What information is provided by the box plot? (3 points)
The mean for the data
The median for the data
The number of students who provided information
The number of students who read for more than 21.5 minutes
Answer:
The right one is ........
