The radius of the sphere has a volume of 7,234.56 units^3 is 1728 units.
We have the sphere has a volume of 7,234.56units^3
V=7,234.56units^3
What is the formula for the volume of a sphere?
[tex]V=(4/3)(pi)(r^3)[/tex]
Where r is the radius.
Solving this for r^3, we get
[tex]r^3=\frac{V}{(4/3)(pi)}[/tex]
[tex]r^3=\frac{V}{(4/3)(3.14)}[/tex]
[tex]r^3=\frac{7,234.56}{4.19}[/tex]
[tex]r=1728[/tex]
Therefore we get the radius of the sphere is r = 1728 units
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How do you write $2.67 in fraction form?
Answer:
267/100
Step-by-step explanation:
Hope this helps! :)
In a large batch of chocolates, the probability of choosing one with both nuts and raisins is 0.3.1f 40% overall have nuts, what is the probability that a chocolate with
nuts will also have raisins?
Answer:
change 0.3 to fraction which is 3/10 then substract from 1
then it will be 1-3/10 =7/10 also 0.7
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
[tex]\frac{1}{2}[/tex]
Find the least common factors of both numbers.
[tex]1/3~has~4\\2/12~has~1[/tex]
Multiply the numerator and denominator.
[tex]\frac{1 * 4}{3 * 4} = \frac{4}{12} \\\\\frac{2 * 1}{12 * 1} = \frac{2}{12}[/tex]
Add both numbers together. That does not mean you have to add the denominators. When the denominators are the same, keep them the same.
[tex]\frac{4}{12} +\frac{2}{12} = \frac{6}{12}[/tex]
Simplify.
[tex]\frac{6}{12} -- > \frac{1}{2}[/tex] because they are both halves.
Part I: Determining the common denominator of the terms
Given expression:
[tex]\dfrac{1}{3} + \dfrac{2}{12}[/tex]
To simplify the expression, we need to determine the common denominator of both fractions (1/3 and 2/12). To determine the common denominator of both fractions, we need to determine the LCM of the denominators (12 and 3). Simply write the multiples of (12 and 3) and determine the least common multiple (LCM).
⇒ Multiples of three: 3, 6, 9, 12, 15, 18...⇒ Multiples of twelve: 12, 24, 36, 48, 60...Since the LCM is 12, our common denominator is 12.
Part II: Multiplying both denominators by a number which is equivalent to 12
Now, multiply both denominators by a number such that the denominators are equivalent to 12. Keep in mind that the number you multiply the denominator should also be multiplied to the numerator.
[tex]\implies \dfrac{x}{3x} + \dfrac{2y}{12y} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \huge\text{[}3x = 12; 12y = 12\huge\text{]}[/tex]
[tex]\implies \dfrac{4}{3(4)} + \dfrac{2(1)}{12(1)} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \huge\text{[}x = \dfrac{12}{3} = 4; y = \dfrac{12}{12} = 1 \huge\text{]}[/tex]
[tex]\implies \dfrac{4}{12} + \dfrac{2}{12}[/tex]
Part III: Adding the fractions
Since the denominators are the same, we can now add the fractions;
[tex]\implies \dfrac{6}{12}[/tex]
Part IV: Simplifying the fraction obtained from the above
Since 6 is divisible by 12, we can further simplify the fraction.
[tex]\implies \dfrac{6 \times 1}{6 \times 2}[/tex]
[tex]\implies \boxed{\dfrac{1}{2}}[/tex]
what is 4/5 divided by 1/8
Answer:
6.4
Step-by-step explanation:
All ways:
Exact form:
32/5
Decimal Form:
6.4
Mixed Number Form:
6 2/5.
CANNOT BE SIMPLIFIED IN ANY WAY
Curtis can unload a truckload of hay in 30
minutes, but it takes Ronnie 40 minutes to do
the same. Working together, how many minutes
will it take them to unload 35 truckloads of
hay?
Answer:
600 minutes ( 10 hours)
Step-by-step explanation:
rate c = 1 job/30 min
rate r = 1 job/40 mi
1 job / ( 1/30 + 1/40) = 1 / ( 7/120) = 17.14 minutes per ruckload
17.14 * 35 trucks = 600 minutes
A rectangular prism has a surface area of 268 square centimeters. If the length is 8 cm and the width is 10 cm, what is the height of the prism?
Will mark brainlyest!!
Answer:
3cm, is correct.
use the surface area formula
Please hurry, 80 points
A store owner discounted some sweaters from $32 to $16. What percentage is the discount?
Write your answer using a percent sign (%).
Answer:
50%
Step-by-step explanation:
32 -> 100%
16 -> ?%
=> 16 * 100 / 32 = 50 %
Your friend says 3/10 is equivalent to 10 divided by 3. Is your friend correct? Explain.
What is the center and radius of the circle described by the equation (x + 4)² + (y - 6)² = 25?
Answer:
centre = ( -6 , 4 ) and radius = 6
Step-by-step explanation:
(x-a)² + (y-b)² = r²
where (a , b ) represents the centre and r the radius.
compare the standard form to (x+6)² + (y−4)² = 36
=> a = -6, b=4 and r = [tex]\sqrt{36}[/tex] = 6
=> centre = (-6, 4) and radius = 6
How many times can 8 go into 51?
Answer:
6 times
Step-by-step explanation:
Answer:
8 can go into 51 six(6) times
Cesar’s annual homeowners insurance premium is $972.80. if his home is valued at $253,000, roughly how much is cesar paying for homeowners insurance? a. $0.13 per $100 of value b. $0.19 per $100 of value c. $0.26 per $100 of value d. $0.38 per $100 of value please select the best answer from the choices provided a b c d
If his home is valued at $253,000, roughly the amount that cesar paying for homeowners insurance is: $0.38 per $100 of value.
Homeowners insuranceUsing this formula
Homeowners insurance=Insurance premium/Total value×$100
Let plug in the formula
Homeowners insurance= $972.80/$253,000×$100
Homeowners insurance=$0.38
Therefore the amount that cesar paying for homeowners insurance is: $0.38 per $100 of value.
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#SPJ4
Answer:
Its C
Step-by-step explanation:
the terminal point of θ is sqrt3/2/1/2. what is sin θ?
A) sqrt 3
B) sqrt3/2
C) 1/2
D) sqrt3/3
Answer:
C: 1/2.
Step-by-step explanation:
the answer is 1/2 because I just took it and got it right.
Help please and no links
Help no links or troll
Answer:
i think its 9 m if im wrong im sry T_T
Step-by-step explanation:
Mitchel owns a livestock trailer that can hold a maximum of 5,000 pounds. The average weight of each goat is 90 pounds, and the average weight of each calf is 360 pounds. Mitchel would like to know how many goats and calves he can transport in a single trip.
The inequality that represents this situation is graphed here.
A.
Mitchel can transport 42 goats and 2 calves in one trip.
B.
Mitchel can transport 30 goats and 8 calves in one trip.
C.
Mitchel can transport 24 goats and 10 calves in one trip.
D.
Mitchel can transport 50 goats and 4 calves in one trip.
Answer:
A
Step-by-step explanation:
I would love some help
Problem
Look at the image below.
Find the area of the parallelogram.
square units
Answer:
44
Step-by-step explanation:
base(b) = 11, height(h) = 8, Area of parallelogram = ? We know that, Area of parallelogram = 1/2 × b× h = 1/2 × 11 × 8 = 11 × 4 = 44 square units
The answer is 88
11x8 = 88 base times height !!!!
PLEASE HELP MEEE!!!!
Answer: a) (3,0.5) b)(28/13, 47/13)
1)7x+4y=23
8x-10y=19
70x+40y=230
32x-40y=76
102x=306
x=306/102=3
7(3)+4y=23
21+4y=23
4y=2
y=1/2
2)Step-by-step explanation:
11x-6y=2
-8x+5y=3
Multiply the first equation by 5 and the second by 6.
55x-30y=10
-42x+30y=18
Now add both of the new equations
13x=28
x=28/13
Now plug it into the first equation to find y
11(28/13)-6y=2
308/13-6y=2
y=47/13
Which of the following inequalities matches the graph
-6x + y<3
0 6x + y < 3
06x - y<-3
The correct inequality is not listed
Answer: #1
Step-by-step explanation: if you look closely at the purple line you will see it falls into (y <3) and yeah
2a = –2 + 4(a +3)
a =
HELPP
Answer:
a=-7
Step-by-step explanation:
2a=-2+4(a+3)
2a=2+4a+12
2a=4a+14
-2a/-2a=14/-2a
a=-7
1 .
a. Solve by elimination method.
x+y = 6 ; 2x - y = 3
b. Solve by substitution method.
2x - y = 7 , y = 3x
c. Solve
x^2 +(1 /16 ) = x / 2
2 . Factorize
a. a^2 - 2a - 2b - b^2
b. a^4 - 3a^2 + 1
Answer:
1a. x=3 y=3
1b. x=-7 y=-21
1c. x=¼
2a. a(a-2)-b(2+b)
2b. a²(a²-3)+1
Step-by-step explanation:
a .
x + y = 6
+
2x - y = 3
3x = 9
3x/3 = 9/3
x = 3
x + y = 6
y = 6 -x
y = 6 - 3
y = 3
b.
2x - y = 7
+
y = 3x
2x = 3x + 7
2x - 3x = 7
x = -7
y = 3x
y = 3(-7)
y = -21
c.
[tex] {x}^{2} + \frac{1}{16} = \frac{x}{2} [/tex]
[tex] {x}^{2} + \frac{1}{16} - \frac{x}{2} = 0[/tex]
[tex]16( {x}^{2} - \frac{x}{2} + \frac{1}{16} ) = 0[/tex]
[tex]16 {x}^{2} - 8x + 1 = 0[/tex]
[tex](4x - 1)(4x - 1) = 0[/tex]
[tex]x = \frac{1}{4} [/tex]
2.
a.
[tex] {a}^{2} - 2a - 2b - {b}^{2} [/tex]
[tex]a(a - 2) - b(b + 2)[/tex]
I WILL MARK BRAINLIEST
Answer:
I believe the answer is A. 15-(3xy)
Step-by-step explanation:
The expression you are given is 15-(yx3) and option A is 15-(3xy). All they did was flip the values in the parentheses. It doesen't matter what value is first because the negative sign will be distributed to everything in the parentheses.
Hope this helps!!
Mark me brainliest please!
frank rented a truck for one day. There was a base fee of 14.95, and there was an additional charge of 78 cents for each mile driven. Frank had to pay $134.29 when he returned the truck. For how many miles did he drive the truck
Direction: Fill in the boxes with "Yes" or "No". KITE SQUARE RHOMBUS RECTANGLE P Property Opposite sides are equal. Opposite cid
Answer:
this is the answer for your question
What is the following product? Assume x>0. ^3root (x^2) • ^4root (x^3)
Answer:
[tex]x \sqrt[12]{ {x}^{5} } [/tex]
Step-by-step explanation:
[tex] \sqrt[3]{ {x}^{2} } \sqrt[4]{ {x}^{3} } [/tex]
[tex] {x}^{ \frac{2}{3} } {x}^{ \frac{3}{4} } = {x}^{ \frac{8}{12} } {x}^{ \frac{9}{12} } = {x}^{ \frac{17}{12} } = {x}^{ \frac{5}{12} } x = x \sqrt[12]{ {x}^{5} } [/tex]
Evan put a 2-pound weight on one side of the scale. How many 1-ounce weights will he need to put on the other side of the scale to make them equal?
Answer:
32
Step-by-step explanation:
he needs to put 2 pounds on the other side as well
16 ounces is a pound
16×2=32
32
16 ounces are equivalent to a pound. So 16x2= 32 which is your answer.
please help with the following question and explain in detail
The probability that Ben does the math homework is 0.33 and the probability that he does the English homework is 0.25.
What is a probability tree?A probability tree is a term that refers to a tool used in calculus to graphically represent the possible outcomes of a situation.
What are the chances that Ben will do his homework?To calculate the probability that Ben will do his tasks, we perform the fraction that describes each of them as shown below:
Probability that he does the math homework: = 0.33 Probability that he will not do the math homework = 0.66Probability that he does the English homework = 0.25Probability that he will not do the English homework = 0.75Learn more about probability in: https://brainly.com/question/11234923
Please solve this with explanations!
Answer:
D. -2x - 8
Step-by-step explanation:
1) Simplify 1/3(6x+15) to 6x+15/3
-6x+15/3 - 3
2) Factor out the common term 3.
-3(2x+5)/3 - 3
3) Cancel 3.
-(2x+5)-3
4) Remove parentheses.
-2x-5-3
5) Collect like terms.
-2x+(-5-3)
6) Simplify
-2x-8
Which of the following numbers is irrational?
Select all that apply.
graph: y + 2 = - 3/4 (x + 4)
Answer: hii
Graph the line using the slope and y-intercept, or two points.
Slope: −3/4
y-intercept: (0,−5)
x {} y
0 {} −5
4 {} −8
Step-by-step explanation:
Hopefully this helps you
- Matthew
Joe borrowed 2000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 5years