Answer:
The radius of the ball is 3.48 cm
Step-by-step explanation:
Density
The density of a substance is the mass per unit volume. The density varies with temperature and pressure.
The formula to calculate the density of a substance of mass (m) and volume (V) is:
[tex]\displaystyle \rho=\frac{m}{V}[/tex]
The density of lead is \rho=11.35\ g/cm^3 and the mass of a ball of lead is m=2 kg=2,000 g. We can calculate the volume by solving for V:
[tex]\displaystyle V=\frac{m}{\rho}[/tex]
[tex]\displaystyle V=\frac{2000\ g}{11.35\ g/cm^3}[/tex]
[tex]V=176.2115\ cm^3[/tex]
Since the shape of the object is a sphere, and the volume of a sphere of radius r is:
[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3[/tex]
We can solve for r and obtain:
[tex]\displaystyle r=\sqrt[3]{\frac{3V}{4\pi}}[/tex]
Substituting:
[tex]\displaystyle r=\sqrt[3]{\frac{3*176.2115}{4\pi}}[/tex]
[tex]\displaystyle r=\sqrt[3]{42.0674}[/tex]
[tex]\boxed{r=3.48\ cm}[/tex]
The radius of the ball is 3.48 cm
A model rocket was launched from a podium 5 meters above are
an initial velocity of 98 m/s. The function that models height in me
with respect to time (in seconds) is h(t) = 5 + 987-4.9t2
meters above ground at
meters)
Answer:
See solution belowStep-by-step explanation:
Find the complete question below;
Given the height modeled by the function;
h(t) = 5 + 98t-4.9t²
when t = 0
h(0) = 5 + 98(0)-4.9(0)²
h(0) = 5
when t = 5
h(5) = 5 + 98(5)-4.9(5)²
h(5) = 5 + 490 - 122.5
h(5) = 372.5
when t = 10
h(10) = 5 + 98(10)-4.9(10)²
h(10) = 5 + 980 - 490
h(10) = 495
when t = 15
h(15) = 5 + 98(15)-4.9(15)²
h(15) = 5 + 1470 - 1,102.5
h(15) = 372.5
when t = 20
h(10) = 5 + 98(20)-4.9(20)²
h(10) = 5 + 1960 - 4.9(400)
h(10) = 1965- 1960
h(10) = 5
Find the graph attached
Does anyone know this if you could help me I would appreciate it
Answer:
C, B
Step-by-step explanation:
Basically to find the slope you take the rise over run. How many squares does the line go up, over how many does it go left or right. As you can see in the diagram, it goes up 2 squares and goes left 1 square, giving the slope 2/1, which is 2.
The slope of a horizontal line is straight, which means it goes up 0, so automatically your answer is zero, because dividing anything by 0 is 0.
If the triangles are similar, find the value of x.
Answer:
x=25Step-by-step explanation:
the triangles are similar
so as we know
when two triangles are similar the rotio of triangles is equalnow let's solve it
to understand the solving stepsyou need to know aboutequation with fractionPEMDASaccording to the question
[tex] \frac{24}{30 } = \frac{x + 7}{2x - 10} [/tex]
[tex] \frac{4}{5} = \frac{x + 7}{2x - 10} [/tex]
[tex]4(2x - 10) = 5(x + 7) \: (cross \: multiplication)[/tex]
[tex]8x - 40 = 5x + 35[/tex]
[tex]8x - 5x = 35 + 40[/tex]
[tex]3x = 75[/tex]
[tex]x = 25[/tex]
3x 10'4+ 2.5 x 10’5 =
how do I Write an equation for the proportional relationship for the question about apples and pizza proportionality???
Answer:
Step-by-step explanation:
Answer:
hahahjaje shjjw wjwjwjwijwv whwhjwjqbqnqkqiqiqjqbwbwbwbwjjwbwbw
Is it yes or no ? Because I’m confused on this one
Answer:
Bet the answer is
half way
LOL its yes
Tom
A cheerleading formation has 2 rows of 8 men and 3 rows of 10 women. How many
total men and women are in formation? Please help
Answer:
(2x8)+(3x10)
Step-by-step explanation:
catfish exposed liar stop pretending to be somebody
Answer:
Step-by-step explanation:
LOL
5 6 costs $150 to rent a party room at Pizza-n-Games, plus $6 per person for pizza and $5 per person for game ckets. The expression shown gives the total cost for n people. 150+60+5n Evaluate the expression to find the cost for a party of 15 people, A $161 B. $165 C. $315 Click to add speaker note
Answer:
315
Step-by-step explanation:
is this a domain or range?
please help :(
Step-by-step explanation:
it's a function.
the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
the domain is (1,3,7,8)
the range is (2,4,6,9)
Solve the proportion: 1/4 = x/20
Answer:
5x?
Step-by-step explanation:
Answer:
= 5
Step-by-step explanation:
Multiply all terms by the same value to eliminate fraction denominators
1/4 = x/20
20 ⋅ 1/4 = 20 ⋅ /20
Simplify
= 5
An object is moving east, and it’s velocity changes from 65 m/s to 25 m/s in 10 seconds.which describes acceleration
Answer:
The acceleration of object is -4 ms⁻²
Step-by-step explanation:
We are given:
Initial Velocity = 65 m/s
Final Velocity = 25 m/s
Time t = 10 seconds
We need to find acceleration.
The formula used to find acceleration is: [tex]Acceleration=\frac{Final\:Velocity-Initial\:Velocity}{Time}[/tex]
Putting value in the formula and finding acceleration:
[tex]Acceleration=\frac{Final\:Velocity-Initial\:Velocity}{Time}\\Acceleration=\frac{25-65}{10}\\Acceleration=\frac{-40}{10}\\Acceleration=-4\:ms^{-2}[/tex]
So, acceleration of object is -4 ms⁻²
I need help please help me with this question because I don’t know it
1. What is 8 turbo jets raised to the power of 4?*
Answer:
4096
Step-by-step explanation:
Hey there!!!!
8 raised to the power of 4 = [tex]8^{4}[/tex]
[tex]8^{4}[/tex] = 8*8*8*8
if we multiply:
8*8=16
16*8= 128
128*8 = 4096
hope this helps :)
Which value of k makes 5 – k + 12 = 16 a true statement?
Choose 1 answer:
Answer:
k =4
Step-by-step explanation:
you ask your self what + 12 = 16
Answer:
K=4
Step-by-step explanation:
Answer: ? + 12 = 16
3. A computer is priced at $65,000 plus value added tax at 15%. What amount does the computer actually cost the customer?
Answer:
$74,750
Step-by-step explanation:
Given that,
The cost of a computer = $65,000 + value added tax at 15%
We need to find the amount the computer actually cost the customer.
Total cost = Cost of computer + VAT at 15%
[tex]=65000+65000\times \dfrac{15}{100}\\\\=\$74,750[/tex]
So, the computer actually cost the customer is $74,750.
Solve the system using substitution. -2x+5y=19
3x-4=y
Answer:
answer is x=3 and y=5.... so it is (3,5)
Step-by-step explanation:
you want to combine them so y=3x-4 so subsitute y
-2x+5(3x-4)=19
-2x+15x-20=19
+20 +20
13x=39
--- ---
13 13
x=3
now subsitute 3 into x into any problem...
3(3)-4=y
9-4=y
and 9-4 is 5 so it is...
(3,5)
pls give me brainliest
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
8x – 6y = 54
Colin buys a tv for £800. It depreciates at a rate of 1% per year. How much will it be worth in 2 years? Give your answer to the nearest penny where appropriate
Answer:
708
Step-by-step explanation:
Answer
1.7/5
1
bhagyashreechowdhury
Ace
2.4K answers
4.9M people helped
Given:
The cost of the T.V. for Colin = £ 800.
The rate of depreciation per year = 4%
Time period = 3 years
To find:
How much will it be worth in 3 years? Give your answer to the nearest penny where appropriate.
Solution:
To solve the above-given problem, we will use the following formula:
where
A = the final value after depreciation
P = the present value
R = rate of depreciation
n = time period
Now, on substituting the given values in the formula, we get
we will round the above answer to its nearest penny where appropriate
≈ £ 708
Thus, the worth of the t.v. in 3 years will be £ 708.
^415^7 The expression above can also be written in the form 을 For this expression, b= and c=
a=
7
4
15
b=
15
4
7
c=
15
4
7
l
Answer:
15 ^ 7/4
a = 15
b = 7
c = 4
Step-by-step explanation:
uh, the answers you provided were confusing
Answer:
Step-by-step explanation:
Hope this Helps ;)
Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2
haircuts and 4 hair dyes takes 450 minutes. How long does it take her to do a haircut?
3x + 2y = 315
2x + 4y = 450
60 minutes
3x + 4y = 450
90 minutes
2x + 4y = 315
45 minutes
30 minutes
Ebony is x years old.
Her brother is 4 years older.
Her Mum is 3 times her age.
Write an expression for the age of:
Her mum
Her brother
Ebony's brother is x + 4 years old.
Ebony's mum is 3x years old.
Explanation:Since Ebony is x years old, and her brother is 4 years older than her, the expression is x + 4, as her brother is +4 years older.
Ebony's mum is 3 times Ebony's age, which is x. 3 times x is shortened into 3x.
Pls Help Step by step look at picture
Answer:
-6(x-y)
Step-by-step explanation:
Combine the same terms together
; (-3x+2x-5x) + (y+7y-2y)
Use parentheses to make thinking easier.
Combine ; -6x + 6y
Factoring polynomials ; -6(x-y)
hope it helps ☺️
Need correct answer only PLS
Which option identifies the sectors of the economy involved in the following scenario?
Joe owns a family farm in central Illinois. He goes to the bank for a loan for a new combine.
agriculture and services
services and industry
agribusiness and industry
agriculture and industry
Answer:
Step-by-step explanation:
A and c
Answer:
a
Step-by-step explanation:
Hope this helps:)
can i plz get some help
What is the slope of the line y=8?
Answer:
undefined or 0
Step-by-step explanation:
Answer:
The answer is 0 because undefined is straight up or vertical
Sachi takes 10 rounds of a rectangular park, 50 m long and 20 m wide. Find the total distance covered by him.
Answer:
700 meters
Step-by-step explanation:
What is the value of y
PLS HELP ASAP I DONT HAVE TIME FOR THIS, IT ALSO DETECTS IF ITS RIGHT IR WRONG
Answer:
120
Step-by-step explanation:
Add angle ABC and angle CBD together.
How many kilograms are there in 8 pounds? Hint: 1 lb ≈ 0.454 kg Round your answer to the nearest tenth.