The density of golf ball is 0.000113 gm/mm³
What is volume ?
Volume is a three dimensional space occupy by the body of particular shape such as here :
volume (V) of sphere with radius r : 4πr³/3
it is given that :
golf ball has a diameter d of = 42.67 millimeters
r = d/2 = 21.33 mm
golf ball has a mass m of = 45.93 grams
First, let us find the volume of the golf ball can be determined using the formula:
V = 4πr³/3
Substituting r = 21.33mm, we get;
V = 4π(21.33)³/3
V = 40650 mm³
Now, to find the number of grams per cubic millimeter of the material used to make the golf ball we find the density of golf ball :
ρ = m/V
ρ = 45.93/40650
ρ = 0.000113 gm/mm³
Therefore, the density of golf ball is 0.000113 gm/mm³
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Which of the following is NOT true?
A. Parallel lines are always in the same plane.
B. Perpendicular lines never intersect at right angles.
C. Parallel lines never intersect each other.
D. Perpendicular lines are always in the same plane.
The statement that is not true is
B. Perpendicular lines never intersect at right angles.
The definition of perpendicular lines is that they will intersect each other at 90 degree angles.
Answer:
B. Perpendicular lines never intersect at right angles.
Step-by-step explanation:
The perpendicular lines are lines that intersect at a right (90 degrees) angle. So, the option (B) is wrong and not true.
A woman invested 4 times much at 4% as she did at 9%. The total amount of interest she earns in 1 year from both accounts is $500. How much did she invest at each rate?
Answer:
$2,000 at 9%
$8,000 at 4%
Step-by-step explanation:
(4x * .04) + (x * .09) = 500
.16x + .09x
.25x = 500
x = $2,000 at 9%
4x = $8,000 at 4%
Answer:
2000 at 9%
8000 at 4%
Step-by-step explanation:
Let the principle at 9% = x
The principle at 4% = 4*x
Together they give 500 dollars.
9% = .09
4% = ,04
Both are invested for 1 year
0.09 * 1 * x + 0.04 * 1 * 4x = 500
0.09x + 0.16x = 500
0.25x = 500
x = 500 / 0.25
x = 2000
She invested 2000 at 9%
She invested 4 * 2000 at 4%
$5000 is placed in a bank account with an annual interest rate of 5.5%. The function represents the balance in the account, f(x), after x years. Approximately, how long will it take for the account to double?
am pls answer this sorry
Answer:
16. 1
17. 3
18. 1
19. 1
20. 1
Step-by-step explanation:
I'm sorry that I don't speak in Filipino but I can help fill in the blanks.
(In brackets is the English translation)
12 pulgada = 1 piye (12 inch is 1 foot)
1 yard = 3 piye (1 yard is 3 feet)
10 sentimetro = 1 desimetro (10 centimeters is 1 decimeter)
1000 metro = 1 kilometro (1000 meters is 1 kilometer)
10 millimetro = 1 sentimetro (10 millimeters is 1 centimeter)
What’s the
mean
Median
Mode
Answer:
mean: 4.5 (1dp)
median: 4
mode: 6
Step-by-step explanation:
mean:
0 + 1 + 1 + 2 + 2 + 2 + 2 + 3 + 3 + 3 + 4 + 4 + 4 + 5 + 5 + 6 + 6 + 6 + 6 + 6 + 7 + 8 + 8 + 9 + 10 = 113
113 divided by 25 = 4.52, or just 4.5 (rounded to one decimal place
median:
(middle) = 4
mode:
(most occurring) = 6
Which of the following is equivalent to
2(x²-x) + (x²-x)?
Answer: The correct answer is 3x^2-3x
Step-by-step explanation:
I hope this help
Answer pls
Maths questions
Attached paper question (Answer pls)
Answer:
25 wanted ice cream 10 wanted coffee 3/5 wanted ice teaSlope of (4,9) (19, 13)
Given the function f(x) = 2|x + 6| – 4, for what values of x is f(x) = 6?
x = –1, x = 11
x = –1, x = –11
x = 14, x = –26
x = 26, x = –14
Answer:
x = -1 , - 11,
Step-by-step explanation:
| x | = x
|- x | = x
f(x) = 2 | x + 6 | - 4
x = - 1 , f( - 1) = 2 | - 1 + 6 | - 4 = 2 | 5 | - 4 = 10 - 4 = 6 , True
x = 1 , f( 1 ) = 2 | 1 + 6 | - 4 = 2 | 7 | - 4 = 14 - 4 = 10 , False
x = 11, f( 11 ) = 2 | 11 + 6 | - 4 = 2 | 17 | - 4 = 34 - 4 = 30 , False
x = - 11, f( - 11) = 2 | -11 + 6 | - 4 = 2 | - 5 | - 4 = 10 - 4 = 6 , True
x = 14 , f( 14 ) = 2 | 14 + 6 | - 4 = 2 | 20 | - 4 = 40 - 4 = 36 , False
x = -14 , f( - 14 ) = 2 | - 14 + 6 | - 4 = 2 | - 8 | - 4 = 16 - 4 = 12 , False
x = - 26 , f( - 26) = 2 | -26 + 6 | - 4 = 2 | -20 | - 4 = 40 - 4 = 36 , False
x = 26, f( 26 ) = 2 | 26 + 6 | - 4 = 2 | 32 | - 4 = 64 - 4 = 60 , False
OR
Given f ( x ) = 6
f( x ) = 2 | x + 6 | - 4
6 = 2 | x + 6 | - 4
6 + 4 = 2 | x + 6| - 4 + 4 [ adding 4 to both sides ]
10 = 2 | x + 6 | + 0
5 = | x + 6 | [ dividing both sides by 2 ]
[tex]- 5 =\ ( x+ 6) \ = 5\\\\[/tex] [tex][ \ | x | = a\ => \ -a \ = x \ = a \ ][/tex]
[tex]- 5 - 6 = \ x + 6 - 6 \ = \ 5 - 6\\[/tex] [tex][ \ subtracting \ by \ 6 \ ][/tex]
[tex]-11 = \ x \ = - 1[/tex]
Brainliest, 10 points
Answer:
last option is correct
Step-by-step explanation:
(a-9)(a+9)
a(a+9)-9(a+9)
a^2+9a-9a-81 (plus 9a and minus -9a gets cancel)
a^2-81
a^2-9^2
Answer:
[tex]a^2-81[/tex]
Step-by-step explanation:
[tex](a-9)(a+9)[/tex]
Distribute, multiply everything in one of the parenthesis by everything in the other parenthesis,
[tex](a - 9)(a + 9)\\\\(a)(a)+(-9)(a)+(9)(a)+(-9)(9)[/tex]
Simplify, perform the multiplication and combine like terms,
[tex]a^2-9a+9a-81\\\\a^2-81[/tex]
А
E
с
D
В
If mZACD = 100°, then mZECB = [?]°
Answer:
100
Step-by-step explanation:
they are vertical angles therefore, they have the same measure.
find the number between 1 over 10 and 3 over 5
Answer:
7/20
Step-by-step explanation:
1 over 10 is .1
3 over 5 is .6
write them out
.1 .2 .3 .4 .5 .6
number between is .35
.35 = 35/100 = 7/20
7/20
I am making two kinds of cookies: chocolate chip and lemon cookies.
(a)
Chocolate Chip Cookies
It takes 0.25 cup of sugar to make a batch of chocolate chip cookies. I have 5.50 cups of sugar. How many batches of cookies can I make?
I can make
batches of chocolate chip cookies.
You may use the scratchpad to show your work.
(b) Lemon Cookies
It takes 0.75 cups of sugar to make a batch of lemon cookies. I have 5.5 cups of sugar. How many batches can I make?
I can make
batches of lemon cookies.
You may use the scratchpad to show your work
Enter your answer as a fraction
Uhh sorry to bother again I’ve had no motivation haven’t been paying attention so uh yea
22 chocolate cookies can be made from 5.50 cups of sugar and 7 lemon cookies can be made from 5.50 cups of sugar
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The chocolate cookies is given as:
Number of chocolate cookies = 5.50 cups / 0.25 cup per cookie = 22
The lemon cookies is given as:
Number of lemon cookies = 5.50 cups / 0.75 cup per cookie = 7
22 chocolate cookies can be made from 5.50 cups of sugar and 7 lemon cookies can be made from 5.50 cups of sugar
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Hiroshi spends 30 minutes on history homework, 60 minutes on English homework, and x minutes on math homework. One fourth of his total homework time is spent on math. Which equation can be used to find the amount of time Hiroshi spends on his math homework?
StartFraction one-fourth EndFraction left-parenthesis x plus 30 plus 60 right-parenthesis equals x.(x + 30 + 60) = x
StartFraction one-fourth EndFraction left-parenthesis x right-parenthesis equals x left-parenthesis 30 plus 60 right-parenthesis.(x) = x(30 + 60)
StartFraction one-fourth EndFraction x left-parenthesis 30 plus 60 right-parenthesis equals x.x(30 + 60) = x
StartFraction one-fourth EndFraction left-parenthesis x right-parenthesis equals left-parenthesis 30 plus 60 right-parenthesis.(x) = (30 + 60)
Answer:
StartFraction one-fourth EndFraction left-parenthesis x right-parenthesis equals x left-parenthesis 30 plus 60 right-parenthesis.(x) = x(30 + 60)
Step-by-step explanation:
The equation that can be used is:
(1/4)*(30 min + 60 min + x) = x
So the correct option is the first one.
How to get the correct equation?
We know that Hiroshi spends:
30 minutes on history.60 minutes on English.x minutes on math.The total time is:
30 min + 60 min + x
And we know that one-fourth of the total time that he studies is spent on math, then we can write:
(1/4)*(30 min + 60 min + x) = x
This is the equation we need to solve.
Solving it gives:
30 min + 60 min + x = 4x
90 min = 3x
(90 min)/3 = x = 30 min.
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Brainliest for help please please
Answer:
5
Step-by-step explanation:
Multiply -1 on both sides to get rid of the negatives.
4x=20
Divide 4 on both sides
[tex]\frac{4x}{4}[/tex]=[tex]\frac{20}{4}[/tex]
Simplify
x=5
Answer:
5
Step-by-step explanation:
-4x= -20
or, x= -20/-4
or, x=5
Luca decides to play Wheel of Letters. To play the game, contestants spin a wheel with 26 equal sections, lettered A through Z. If the pointer landson any letter in the phrase "COUNTY FAIR," the contestant wins a prize.
part A
What is the probability that Luca will win wheel of letters?is your answer a theoretical probability or an experimental probability? explain.
Part B
Of the first 52 contestants, exactly 12 contestants win the game.how does the actual number of winners compared to the expected number of winners? what needs to happen for the experimental probability to approach the theoretical probability? explain
Answer:
Step-by-step explanation:
There are 6 qualifying letters, out of 26.
Thus, the probability that Luca will win through one wheel spin is
6/26, or 3/13, or 0.23.
This is a theoretical probability, since it could be calculated with the same result over and over. An experimental probability, on the other hand, would be the result if the probability stemmed from experimenting: making a list of all 26 letters and then spinning the wheel over and over again, perhaps 100 times, and recording how many times each of the 26 letters shows up.
A survey of a group of seventh graders and a group of teachers at a local middle school asked how many siblings
they each have. The dot plots below show the results.
Students Which compares the modes of the data?
Answer:
a
Step-by-step explanation:
Lisa took a survey of her classmates' favorite sport and recorded their genders. The results are in the table below:
What is the marginal relative frequency of survey participants who are girls?
0.06
0.5
0.43
17
Using it's concept, it is found that the marginal relative frequency of survey participants who are girls is of 0.43.
What is a relative frequency?A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, we have that there were 2 + 3 + 5 + 4 + 3 + 8 + 2 + 6 + 4 + 3 = 40 participants, of which 17 are girls, hence the relative frequency is given by:
f = 17/40 = 0.425
Which is rounded to 0.43.
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F=ma is the formula for force. So how would I solve for m?
Find the sale price.
Original price: $50
Discount: 15%
Sale price: $_____
Answer:
The new price is 42.50
Step-by-step explanation:
First find the discount
50 *15%
50 *.15
7.5
Subtract this from the original price
50-7.5
42.50
The new price is 42.50
Solve for the answer.
Let x=10
4x + 12=
(A) 0.52
(B) 5.2
(C) 52
Answer:
c 52
Step-by-step explanation:
x=10
4 ×10=40
40+12=52
The denominator of a fraction is greater than its numerator by 7. If
the numerator is increased by 1 and the denominator is increased by
4, the fraction becomes 1/3
. Find the original fraction.
Answer:
4/11
Step-by-step explanation:
Let :
x = numerator
x + 7 = denominator [tex]\frac{x}{x + 7}[/tex]
[tex]\frac{x}{x+7} + \frac{1}{4} = \frac{1}{3}[/tex]
[tex]\frac{x + 1}{x + 11} = \frac{1}{3}[/tex]
cross multiply
3(x + 1) = x + 11
3x + 3 = x + 11
combine like terms
3x - x = 11 - 3
2x = 8
x = 4
x + 7 = 4 + 7 = 11
original fraction = 4/11
find the value of x. round
to nearest degree
Answer:
B
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{11}{20}[/tex] , then
x = [tex]cos^{-1}[/tex] ( [tex]\frac{11}{20}[/tex] ) ≈ 57° ( to the nearest degree ) → B
If two lines in a linear system____, they have exactly one point in common.
Answer:
if two lines in a linear system INTERSECT, they have exactly one point in common.
Answer:
cross each other
Step-by-step explanation:
The point of intersection is the point where both lines will have the same coordinates.
An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 28 feet up. The ladder makes an angle of 64 degrees with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary.
Answer: 31.2
Step-by-step explanation:
A circle has a radius of 18 ft and an arc length of 11 π. What is the measure of the central angle of
the circle?
The depth of the water in the container at the beginning of the day on monday was 24 3/4 inches. What was the depth of the water in the container at the end of the day on friday
Answer:
25 1/4 inches
Step-by-step explanation:
Given :
Day ___ Mon ___ Tue ___ Wed ___ Thur ___Fri
△depth _-3/8 ___ - 1/8 ___ 1/2 ____ - 1/4 __ 3/4
Depth of water at the beginning = 24 3/4
Depth of water at the end of Friday:
24 3/4 - 3/8 - 1/8 + 1/2 - 1/4 + 3/4
24 3/4 + (-3/8 - 1/8 + 1/2 - 1/4 + 3/4)
24 3/4 + (-1/2 + 1/2 + 3/4)
24 3/4 + ( - 1/4 + 3/4)
24 3/4 + 1/2
24 + (1 1/4
24+ 1 + 1/4
25 1/4
Find the equation of the line that has a slope of — 2 and passes
through the point (-2,2). Write the equation in point-slope
form.
Answer:
y - 2 = -2(x +2)
Step-by-step explanation:
y - 2 = -2(x +2)
I
Acellus
Find the volume of the cone.
5
Diameter: 14 m, Slant Height: 25 m
Help Resources
Round to the nearest whole number.
Volume
[?] m3
The volume of the cone to the nearest whole number is 1283 m³
How to determine the volumeFormula for volume of a cone = [tex]\pi r^2\frac{h}{3}[/tex]
Slant height = 25m
If diameter = 14m , radius = 14/2 = 7m
Pie = 22/7
Substitute values into formula
We have,
Volume = [tex]3. 142 * 7 * 7 * \frac{25}{3}[/tex]
Volume = [tex]1,282. 98[/tex]
Volume = [tex]1283 m^3[/tex] in the nearest whole number
Thus, the volume of the cone to the nearest whole number is 1283 m³
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If x is greater than 16 and less than 25, then is _____.
greater than 16 and less than 25
greater than 8 and less than 13
greater than 256 and less than 625
greater than 4 and less than 5
Answer:
greater than 16 and less than 25(easy)
