Answers
Answer:
π/6 ≈ 11/21 cubic units
Step-by-step explanation:
Use the given values in the formula for the volume of a sphere:
V = 4/3πr³
V = (4/3)(22/7)(1/2)³ = 4·22/(3·7·8) = 11/21 . . . . cubic units
We know,
[tex]{\qquad { \longrightarrow \pmb {\sf Volume_{(Sphere)} = \dfrac{4}{3} \pi {r}^{3} }}}[/tex]
Here,
Radius of the sphere is [tex] \sf\dfrac{1}{2} .[/tex] We will take the value of π as [tex] \sf\dfrac{22}{7} .[/tex]⠀
Substituting the values in the formula :
[tex] { \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{3} \times \dfrac{22}{7} \times {\bigg(\dfrac{1}{2} \bigg)}^{3} }}}[/tex]
[tex] { \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{3} \times \dfrac{22}{7} \times \dfrac{1}{8} }}}[/tex]
[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{ \cancel4}{3} \times \dfrac{22}{7} \times \dfrac{1}{ \cancel8} }}}[/tex]
[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{ 1}{3} \times \dfrac{22}{7} \times \dfrac{1}{ 2} }}}[/tex]
[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{22}{3 \times 7 \times 2} }}}[/tex]
[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{22}{42} }}}[/tex]
[tex]{ \longrightarrow {\qquad {\bf Volume_{(Sphere)} = \dfrac{11}{21} }}}[/tex]
⠀
Therefore,
Radius of the sphere is [tex] \bf \dfrac{11}{21} [/tex] units³.Related Questions
The cost, in dollars, of making x cups of lemonade is x+25. The predicted revenue is 12+2x dollars. Write a polynomial that represents the profit of selling x cups of lemonade. If you sold 20 cups of lemonade, will you make a profit? (yes or no)
Answers
Answer:
P = x - 13
Yes, you will make a profit
Step-by-step explanation:
Given;
cost of making x cups, C = x + 25
predicted revenue, R = 12 + 2x
Profit of selling x cups is given by;
P = R - C
P = (12 + 2x) - (x + 25)
P = 12 + 2x - x - 25
P = x - 13
When 20 cups of lemonade are sold, the profit made can be estimated using the profit function above;
P = x - 13
P = 20 - 13
P = 7
Thus, you will make a profit
At the us open tennis championship a statistician keeps track of every serve that a player hits during teh torunment. The statistcian reported that the mean serve speed of a particluar player was 101 miles per hour and teh standard deviation of the serve speeds was 11 mph. If nothing is known about the shape of distribution give an interval that will contain the speeds of at least eight ninths of the players serves
Answers
Answer:
68mph to 134 mph
Step-by-step explanation:
We apply
Chebyshev's Theorem States:
At least 3/4 or 75% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.
At least 8/9 or 88.89% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.
From the question,
Mean = 101 miles per hour
Standard deviation = 11 miles per hour
We are to give an interval that will contain the speeds of at least eight ninths of the players serves
Hence, we apply the rule
At least 8/9 or 88.89% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.
μ - 3σ
= 101 - 3(11)
= 101 - 33
= 68 miles per hour
μ + 3σ.
= 101 + 3(11)
= 101 + 33
= 134 miles per hour
Therefore, the interval is 68mph to 134 mph
how do you Calculate the area of a missing square.
Answers
Answer: Option D
Step-by-step explanation:
Hey there!
Here; Looking at it we can state that it is a Right angled triangle.
And must use the Pythagoras relation if the triangle is a Right angled triangle.
So, let's work on it.
Let ABC be a triangle.
Taking reference angle as C, we get;
perpendicular= 3m
Hypotenuse= 7m
Base = xm
Now;
[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]
[tex]or \: b = \sqrt{ {h}^{2} - {p}^{2} } [/tex]
Put all values.
[tex]b = \sqrt{ {7}^{2} - {3}^{2} } [/tex]
Simplify to get answer.
[tex]b = \sqrt{49 - 9} [/tex]
[tex]b = \sqrt{40} [/tex]
Therefore, X= 6.3m.
Hope it helps...
Change a speed of 50 metres per second to a speed in kilometres per hour.
Answers
Answer:
180m/s
STEP BY STEP EXPLANATION:
1m/s = 3600/1000 km/h
50m/s = 3600/1000 * 50
= 36 * 5
= 180m/s
100 BRAINLY POINTS!!!
There is a positive linear correlation between the annual income and the age of a person before retirement. Which scatter plot BEST represents this situation?
PLEASE HELP HURRY CUH
EXPLAIN YOUR ANSWER
SHOW YOUR WORK
Answers
Answer:
A
Step-by-step explanation:
a set of points plotted on a horizontal and vertical axes
Which statement BEST describes why this set of ordered pairs is NOT a function?
{(1, 5),(2, 6),(3, 6),(4, 1),(4, 20),(5, 21),(6, 24)}
Answers
We have x = 4 repeating itself
If we graph the two points (4,1) and (4,20), then we see the relation fails the vertical line test.
The input x = 4 leads to more than one output y = 1 and y = 20 simultaneously.
This is why we don't have a function.
The given set does not represent the function as one value of [x] has two values of [y] in the coordinates -
(4, 1), (4, 20).
What is a function? What is equation modelling? What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the functionEquation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given are the coordinates as -
{(1, 5), (2, 6), (3, 6), (4, 1), (4, 20), (5, 21), (6, 24)}
The given set does not represent the function as one value of [x] has two values of [y] in the coordinates -
(4, 1), (4, 20).
Therefore, the given set does not represent the function as one value of [x] has two values of [y] in the coordinates -
(4, 1), (4, 20).
To solve more questions on equations, expressions and polynomials, visit the link below -
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The hypotenuse of a right triangle is 15 inches and one leg is 7 inches.
What is an approximate length of the second leg?
13,3 inches
176 inches
O 8 inches
23 inches
Answers
Answer:
8 inches I think
Step-by-step explanation:
because if the first leg is 7 and the triangle is 15 it would be 8 since 7+8=15
Answer: 13.3 ( just do the pythagorem theorem)
Step-by-step explanation:
Find the radius of sphere with a volume of 500π3 cubic feet.
Answers
Answer:
5cm
Step-by-step explanation:
joe was comparing sale prices of two stores at the mall to decide where to buy his new jeans. The two stores' sale banners are shown below.
If Joe plans to buy 1 pairs of jeans, which store offers a better deal after the discount
Answers
Answer:
I have answered this question before it is A on the paper
Which of the equations below is represented by the following graph?
O 2 + 5 = 7
O 3+4=7
O (-1) + 8 = 7
O 6 + 1 = 7
Answers
Answer:
there is no graph what the heck dude
Step-by-step explanation:
Points A and B are two of the vertices of a right triangle. They are the endpoints of the hypotenuse AB¯¯¯¯¯ of the triangle. The third vertex of the triangle lies in the first quadrant.
Plot a point at the location of the third vertex.
Answers
Answer: (1, 2)
Step-by-step explanation:
There are many possibilities for the third point in the first quadrant
The simplest case is drawing a line parallel to x axis from point A and drawing a line parallel to y axis from point B and see where they intersect
The two lines would be:
y=2, x=1
So the point of intersection is (1,2) and they intersect at right angle hence qualify as a third point
Therefore, one possible location for third point is (1,2)
Answer:
Point (1 , 2)
Step-by-step explanation:
AB will form the hypotenuse and this will be the vertex.
Can somebody help me out?
Answers
Answer:
13
Step-by-step explanation:
a²+b²=c²
(12)²+(5)²=c²
√12²+5²=√c²
13=c
Answer:
5^2+12^2=c^2
25+144=c^2
169=c^2
c=√169
c=13
In the data set {(7,7);(3,10);(5,9);(2,12);(0,1);(6,4);(4,10);(8,6)}, which point is a possible outlier? please help :(
Answers
Answer: Choice D
(0,1)
==================================================
Explanation:
Plot all of the points on the same xy grid as shown below.
The majority of the points cluster together somewhat. In this cluster we have a downward trend (aka negative correlation). As x gets bigger, y gets smaller, and vice versa.
Highlighted in red is the point (0,1) which is fairly separate from the main cluster of other black points. This is the outlier that will pull the regression line away from the main cluster of points.
Which expression has the same meaning?
Answers
Answer:
m^4
Step-by-step explanation:
4*4=16
Can you please help me with this!!
Btw you don’t need to help me with the first two questions I did those already
(Btw We’re supposed to complete the table l)
Answers
Answer:
The other one is 1 and the top number 6
Step-by-step explanation:
Heres why: the rest are indiosncrys and ploasery
Answer:
1.75² ------> Expanded form: 1.75 x 1.75 ------> Standard Form: 1.75²
= 3.0625
1/4³ ------> Expanded form: 1/4 x 1/4 x 1/4 or .25 x .25 x .25 ------> Standard Form: 1/4³ =0.015625
Step-by-step explanation:
Please tell me if I am wrong.
Hope this helps.
:]
A student in eighth grade notices that the current cost of tuition, books, and fees at a 4 year college is $14,000 per year. The family reads that there is an annual increase of $550 per year. What will the the total cost of tuition, books, and fees for this student when this student attends college for four years, after graduating high school? $63,700 $68,100 $70,300 $72,500.
Answers
Answer:
$68,100
Step-by-step explanation:
$14,000 : 9th grade
$14,000 + $550 = $14,550: 10th grade
$14,550 + $550 = $15,100: 11th grade
$15,100 + $550 = $15,650: 12th grade
$15,650 + $550 = $16,200: year 1 of college
16,200 + $550 = $16,750: year 2 of college
$16,750 + $550 = $17,300: year 3 of college
$17,300 + $550 = $17,850: year 4 of college
16,200 + 16,750 + 17,300 + 17,850 = $68,100
Answer:
$68,100
$14,000 + $550 = $14,550: 10th grade
$14,550 + $550 = $15,100: 11th grade
$15,100 + $550 = $15,650: 12th grade
$15,650 + $550 = $16,200: year 1 of college
16,200 + $550 = $16,750: year 2 of college
$16,750 + $550 = $17,300: year 3 of college
$17,300 + $550 = $17,850: year 4 of college
Step-by-step explanation:
That is the exact answer you need to your question. I had to recalculate my numbers
HOPE IT HELPS!!!!!!!!!!
Which of the following two-dimensional shapes can be rotated to create a cone? Right triangle Square Circle Ellipse.
Answers
Refer to the figure below for an example.
Imagine the right triangle acts like a propeller to spin around to carve out the 3D shape of a cone. The axis of rotation is the vertical part of the triangle. In a sense, it's like a revolving door of sorts.
In contrast, a square and rectangle will rotate around to create a cylinder. An ellipse or circle rotates around to form a (squashed) sphere.
Answer:
A. Right triangle
Step-by-step explanation:
HELPPP FOR BRAINELST RIGHT NOW PLEASE
Answers
Answer:
its 12
Step-by-step explanation:
F1= 12N F2 = 24 F3 = 12N and thats how u get 12 i think lol
-2p + 7= 11 i need a answer know pleas help me
Answers
Answer:
p= -3/2 or p= -1 1/2
Step-by-step explanation:
Answer:
p=-2
Step-by-step explanation:
first subtract 7 so: -2p+7-7=11-7 and ya get -2p=4
then, ya divide -2 from both sides, so: -2p/-2=4/-2
p=-2
For which value of x does f(x) = 2
Answers
Answer:
x = -4Step-by-step explanation:
Look a the picture.
Draw the horizontal line y = 2.
Common point: (-4, 2).
Conclusion: f(x) = 2 → x = -4
From the graph at x = -4, then value of f(x) will be 2.
What is Graph?A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.
In the given graph, first we have to draw a line f(x)=2 i.e y=2
Draw the horizontal line y = 2.
We have to check where the horizontal line is meeting the line in graph.
Then we get a Common point at (-4, 2).
So x value is =-4 for f(x)=2 in the given graph.
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Evaluate 4a2 when a =
1
6
Answers
Answer:
1/9
Step-by-step explanation:
You had to multiply 1/6 with its self so it would be 1/6x1/6 and that would equal 1/36 then you had to divide 4 by 1/36 and that would give you 1/9.50 POINTS!! ANSWER CORRECTLY PLEASE!
Consider the dilation:
(a) Is the image of the dilation a reduction or an enlargement of the original figure? Explain.
(b) What is the scale factor? Explain.
Answer:
Answers
Reduction
Why ?
See co-ordinates decreased back in dilated figure .#b
M=(-3,3)M'=(-2,2)S=(6,3)S'=(4,2)V=(3,-3)V'=(2,-2)Scale factor:-
[tex]\\ \rm\rightarrowtail \dfrac{-2}{-3}=\dfrac{4}{6}=\dfrac{2}{3}[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{2}{3}=\dfrac{2}{3}=\dfrac{2}{3}[/tex]
Scale factor=K=2/3Answer:
The original figure is MSV and the dilated figure is M'S'V'
Therefore, the dilation is a reduction of the original figure since the side lengths have reduced in length.
To determine the scale factor, choose one of the sides and compare the length before and after the dilation → let's use MS:
length of MS = 9 units
length of M'S' = 6 units
⇒ scale factor = length after dilation ÷ length before dilation
= 6 ÷ 9
= 2/3
To find the center of dilation, draw a line through each point and its corresponding dilated point. The point at which the 3 lines meet is the center of dilation.
Therefore, the center of dilation for this question is the origin (0, 0)
Which expression contains three terms
and the product of a constant and a
variable?
A 3.7 x 6
C 3.7 + b = 5
B 3.7 - a
D 3.7 x 5b + a
Answers
Answer:
D) 3.7 × 5b + a
Step-by-step explanation:
It will be d because it contains three terms and the product of a constant and a variable
What is the total coast of a meal. The bill is $22.45, the sales taxes is 8.25% and you want to leave a tip of 20%.
Answers
Answer:
50.7
Step-by-step explanation:
Each answer equals a letter, what is the code for this puzzle?
Answers
Answer:
CIAE
Step-by-step explanation:
Jo ha is single and earns $24,400 paid in 24 pay periods
Answers
What is the question here? If you are asking what he earns daily it would be $1016.67
what is 3.2 x 10^3 x 2000 in standard form
Answers
Answer:
6,400,000
Step-by-step explanation:
3.2 x 10^3 x 2000
= 3.2 x 1000 x 2000
= 6,400,000 <---- standard form
What is the solution to this system of equations?
Answers
Answer:
C. Infinite solutions
Step-by-step explanation:
2x+4y=-2
3x+6y=-3
3(2x+4y=-2)
-2(3x+6y=-3)
6x + 12y = -6
-6x - 12y = 6
This is zero, meaning infinite solutions.
Answer:
C
Step-by-step explanation:
Add -4y to both sides
2x+4y-4y=-2-4y
2x=-4y-2
x=-2y-1. Now you substitute this to the second equation.
3(-2y-1)+6y=-3
-6y-3+6y=-3
-3=-3, so now add 3 to both sides
0=0, so infinite solutions.
questions no b, e and f.
Answers
Step-by-step explanation:
b. 25 × 5^x-1 =5^3x-5
5² × 5^x-1 =5^3x-5
2+x-1=3x-5
1+5=2x
6=2x
x=3
e. t = (⅔)^-3 × (27/4)^-2
t= - (3×3×3/2×2×2) × (4×4/27×27)
t= -(27/4×2) ×(4×4/27×27)
t= -2/27
f. [(3/10)^-5 ÷ (3/10)^-3]^-1 × (10/3)^-2× 3⁰ = (3/10)^4x-20
(3/10)⁵ ÷ (3/10)³ × (3/10)²×1 = (3/10)^4x-20
(3/10)⁴=(3/10)^4x-20
4=4x-20
4x=24
x=6
Help its all in the picture
Answers
The function is decreasing when x is less than 3 and increasing when x is greater than 3