Determine the mass of a solid steel ball that has a diameter of 10 cm. The density of pure steel is 8.09 g/cm3
Answer:
The mass of the steel ball is 4,235.9 gr
Step-by-step explanation:
Density
The density ρ of a substance is a measure of its mass per unit volume:
[tex]\displaystyle \rho=\frac{m}{V}[/tex]
If the density and the volume are given, the mass can be calculated by solving the above formula for m:
[tex]m=\rho.V[/tex]
We know the density of pure steel ρ=8.09 gr/cm3 and the diameter of a solid steel ball d=10 cm.
We need to calculate the volume of the sphere:
The volume of a sphere of radius r is given by:
[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3[/tex]
The radius is half the diameter: r= 10/2 = 5 cm. Thus:
[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot 5^3[/tex]
Calculating:
[tex]V=523.6\ cm^3[/tex]
The mass is:
[tex]m=8.09 gr/cm^3 \cdot 523.6\ cm^3[/tex]
m=4,235.9 gr
The mass of the steel ball is 4,235.9 gr
what is the value of p? 13^2 = p
Johnny scored a 75% on his math test. He got 18 questions
correct. How many questions were on the test? *
Answer:
24
Step-by-step explanation:
18/24=0.75
Hope this helps!
Write each number in scientific notation.
1. 160,000,000
2. 29,830
3. 0.000350
Answer:
1. 1.6x10 08
2. 2.983x10 04
3. 3.5x10 -04
Step-by-step explanation:
the ones with the space goes on the Top and i did it in the calculator have a nice day y'all and stay safe :)
Write an equation through the point (4,8) that is parallel to y=5x-9
Answer:
Y=5x - 12
Step-by-step explanation:
Take a point as (x,y) on the (4,8) line,
The slope of equation is 5,
[tex] \frac{y - 8}{x - 4} = 5[/tex]
Y-8 =5x-20
Y= 5x - 12
Emily works at a fast food outlet. Every week she splits her wages between savings and spending money in the ratio of 2:7 Last week she earned £144. What was Emily’s split between savings and spending money?
Answer:
His savings be $32 and spendings be $112.
Step-by-step explanation:
Let her savings and spending be 2x and 7x.
Total earning is equal to the sum of savings and spending.
ATQ,
2x+7x=144
9x=144
x = 16
Savings = 2x = 2(16) = $32
Spendings = 7x = 7(16) = $112
Hence, his savings be $32 and spendings be $112.
PLEASE HELP ME WITH MY PERSONAL NARRATIVE ESSAY
its a personal essay...
What is the definition of rate of change?
Answer:
Value over a defined period of time, and it represents the momentum of a variable. ✨
Step-by-step explanation:
CREATE Write an equation that you would use the Addition Property of Equality to solve.
PLZ HURRY I'M TAKING A TIMED TEST!!!
The table shows the final score of the winning hockey team compared to the total number of goals that either team attempted during the game. Each row represents a single hockey game. Which value is an outlier in the table?
Final Scores of Winning Team
Total number of attempted goals, x: 12, 13, 13, 16, 16, 20, 22, 26, 29
Final score of winning team, y: 2, 1, 4, 3, 4, 5, 11, 5, 4
A.) (12, 2)
B.) (13, 1)
C.)(22, 11)
D.)(29, 4)
Answer:
(22, 11)
Step-by-step explanation:
Did the test on edge and got it right
Answer:
The answer is C
Step-by-step explanation:
got it right on edge
3
Write the following as an algebraic expression AND simplify. (Submit all work for full credit)
Subtract 10x + 4 from 2x + 9.
Help please
Answer:
-8x + 13
Step-by-step explanation:
Write out the equation:
2x+9-10x+4
Combine Like Terms:
-8x+9+4=
-8x+13
Please answer quickly. sorry it's so small
Answer:
[0,12]
Step-by-step explanation:
which two statements describe the ocean floor
A. there are underwater mountain chains
B. there are many active undersea volcanoes
C. it has only smooth surfaces between continental shelves
D. it is covered with underwater forest of tall trees
Answer:
I believe the answer is B.
Step-by-step explanation:
If you think about it, none of the other answers really make sense. This is the only one that I can see that actually makes sense. If I am wrong, I am very sorry.
A-3
A number increased by three
A number to the power of three
The quotient of a number and three
The difference of a three and a number
The difference of a number and three
Answer:
The difference of a number and three
Step-by-step explanation:
This means you are taking 3 away from the number in this situation A
Please help!
What is the equation of this line?
A.) y=−4x+43
B.) y=43x−4
C.) y=34x−4
D.) y=−4x+34
Why did you square it?
Prime numbers have ________.
Composite numbers have ________.
The number 1 is ________.
Answer:
1:eaxctly two factors 2:more than two factors 3:neither prime nor composite
Step-by-step explanation:
I GOT IT RIGHT!
Answer:
Answer time!!
1. exactly 2 factors
2. more than 2 factors
3. niether prime nor compisite
can you write 19,509,000,000 in scientific notation move the decimal)
Answer:
= 1.9509 × 10^10
Step-by-step explanation:
Look at the attachment below
Hope this helps (:
Evaluate the expression, -1 x (-0.1 x -5 + 0.5)
Answer:
-1
Step-by-step explanation:
-1 x (-0.1 x -5 + 0.5)
= -1 x 1
= -1
Okay will award brainliest and put alot of points so pls help I'm desparate!!!
Answer:
23 is 31/100
Step-by-step explanation:
not sure about the rest sorry :(
Answer:
16. Garret
17. 0
18. 4140
19. 2,3
20. 29/69
21. 3 1/3
22. choice A
23. 31/100
24. 7
 what is the slope of the line Y= -4
Please help i will give brainliest
Answer:
f(x)= 2/3x + 1
Step-by-step explanation:
Answer:
A. f(x) = 2/3x + 1
Step-by-step explanation:
Your y-intercept is + 1 because it the line crosses the y-axis at (0,1)
The slope is +2/3 because it rise up 2 units then right at 3 units; sloping to the right (positive slope)
Given collinear points E, F and G such that point F is the midpoint of segment EG. Find the new length of EG given that EF =5x+9 and FG = 3x +17
Answer:
The length of EG is 58 units
Step-by-step explanation:
The midpoint of a segment divides it into two equal part
Let us use this rule to solve our question
∵ E, F, and G are collinear points
∵ Point F is the midpoint of segment EG
→ That means F divides EG into 2 equal segments EF and FG
∴ EF = FG
∵ EF = 5x + 9
∵ FG = 3x + 17
→ Equate them
∴ 5x + 9 = 3x + 17
→ Subtract 3x from both sides
∵ 5x - 3x + 9 = 3x - 3x + 17
∴ 2x + 9 = 17
→ Subtract 9 from both sides
∴ 2x + 9 - 9 = 17 - 9
∴ 2x = 8
→ Divide both sides by 2 to find x
∵ [tex]\frac{2x}{2}=\frac{8}{2}[/tex]
∴ x = 4
→ Substitute x by 4 in EF and FG to find their lengths
∵ EF = 5(4) + 9 = 20 + 9 = 29
∵ FG = 3(4) + 17 = 12 = 17 = 29
∵ EG = EF + FG
∴ EG = 29 + 29 = 58
∴ The length of EG is 58 units
Derek wants to order some roses online. Florist A charges $4.75 per blue
rose plus $40 delivery charge. Florist B charges $5.15 per red rose plus $25
delivery charge. If Florist B increases the cost per rose to $5.20, for what
number of roses is it less expensive to order from Florist A? From Florist B?
Step-by-step explanation:
let the total charge be y
and the number of rose be x
Florist A charges
y=40+4.75x---------1
Florist B charges
y=25+5.2x--------2
to solve for the number of roses we need to equate 1 and 2
40+4.75x=25+5.2x
40-25=5.2x-4.75x
15=0.45x
x=15/0.45
x=33.33
The number of roses that will be less expensive to order from A is 33.33
Answer:
Step-by-step explanation:
33.33
Why are unit prices important?
Unit price matters because retailers and manufacturers have different sized packages, such as regular and family-sized cereal. Looking at the unit price gives you a consistent tool by which to determine which package is cheaper—although discounts often happen with larger amounts, bigger doesn't always mean you'll save.
PLEASE GIVE ME AS BRAINLIEST
Meg has a can that contains 80% orange juice and the rest water. The can has 1 liter of water.
Part A: Write an equation using one variable that can be used to find the total number of liters of orange juice and water in the can. Define the variable used in the equation. (5 points)
Part B: How many liters of orange juice are present in the can? Show your work. (5 points)
help
Answer:
1w+4o=5
Step-by-step explanation:
w=water o=orange juice there is 4 liters of orange juice
Answer:
80% juice : 20% water
x : 1 liter
80 ÷ 20 = 4
1 liter x 4 = 4 liter
x = 4
Part a = x÷4 or x/4
Part b = 4 liter
Step-by-step explanation:
Is the point (20,13) on this line? Explain your reasoning
Answer:
Not sure what the "line" is! But I put a graph down below!
Step-by-step explanation:
To plot ( 20 , 13 ) , start at the origin ( 0 , 0 ) and move right 20 units and up 13 units.
Well I don’t know the answer lol but I’m just showing people that don’t know what it is.
HELPPP PLEASEEEEEEEEEEEEEE
Answer: true
Step-by-step explanation:
true
5. Solve: 5/14 + 1/6*
Answer: [tex]\frac{11}{21}[/tex]
[tex]\frac{5}{14} + \frac{1}{6}[/tex]
[tex]\frac{15}{42} + \frac{7}{42} = \frac{22}{42}[/tex]
[tex]\frac{22}{42} = \frac{11}{21}[/tex]
is 0.012 less then 0.12 or greater then
Answer: Greater than
Step-by-step explanation: 0.012 is 12 hundreths
0.12 is 12 tenths