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
Daniela, Kieu, and Cameron decide to go to the movies one hot summer afternoon. The theater is having a summer special called Three Go Free. They will get free movie tickets if they each buy a large popcorn and a large soft drink. They take the deal and spend a total of $22.50 on large popcorns and soft drinks. The next week, they go back again, only this time, they each pay $8 for a ticket, they each get a large soft drink, but they share one large bucket of popcorn. This return trip costs them a total of$37.50. Use systems of equations to find the price of a large soft drink and the price of a large bucket of popcorn!
Answer:
Price of a large soft drink = $3
Price of large bucket of popcorn = $4.5
Step-by-step explanation:
Let the cost of one large popcorn = $P
And the cost of one large soft drink = $S
If Daniela, Kieu and Cameron avail the deal of Three Go Free,
3P + 3S = 22.50
P + S = 7.5 -----(1)
Next time they each pay $8 for a ticket, they each get a large soft drink but they share one large bucket of popcorn.
This trip cost them = $37.50
Cost of 3 tickets + Cost of 3 large soft drinks + Cost of one large bucket of popcorn = 37.50
(3 × 8) + (3 × S) + P = 37.5
24 + 3S + P = 37.5
3S + P = 13.5 -----(2)
By subtracting equation (1) from equation (2),
(3S + P) - (P + S) = 13.5 - 7.5
2S = 6
S = $3
From equation (1),
P + 3 = 7.5
P = $4.5
Therefore, price of a large soft drink is $3 and a large bucket of popcorn is $4.5
if you answer this your really cool B)
Answer:
5
Step-by-step explanation:
they are vertical angles
Answer:
5
Step-by-step explanation:
8 is the opposite and therefore the same angle across the line m
Bob needs his refrigerator fixed. The repairman will charge Bob a flat fee of $40 plus an additional $15 for each hour he needs to work on it. Write an equation to represent Bob's cost to repair his refrigerator. Use y for the total cost and x for hours.
Given:
Fixed fee = $40
Additional fee = $15 per hour
To find:
The equation to represent Bob's cost to repair his refrigerator.
Solution:
Let y be the total cost for x hours.
Additional fee for one hour = $15
Additional fee for x hour = $15x
Total cost = Fixed fee + Additional fee
[tex]y=40+15x[/tex]
Therefore, the required equation is [tex]y=40+15x[/tex].
please help me 30 points
Answer:
Hope your having a great day.
Step-by-step explanation:
God Bless, and try not to stress to much about school your doing great :)
what’s the decimal of 325%
Answer:
3.25
Explantion:
325/100 = 3.25
is it proportional or non proportional
Answer:
proportional
Step-by-step explanation:
13/2=6.5
19.5/3=6.5
26/4=6.5
32.5/5=6.5
so if all equal the same they are proportional
The EPA wants to know the daily level of pollutant discharge in the manufacturing district in Pittsburgh for February 2005. The monitoring equipment reveals that the mean daily discharge per factory (calculated as total areal discharge divided by total areal factories) is 30.2 tons with a standard deviation of 9.1 tons. Construct a confidence interval for the true population mean of pollutant discharge using a 95% level of confidence.
Answer:
The 95% confidence interval for the true population mean of pollutant discharge is (26.7 tons, 33.7 tons).
Step-by-step explanation:
Let X represent the daily level of pollutant discharge in the manufacturing district in Pittsburgh.
The monitoring equipment reveals that for the 28 days of the February month
Mean daily discharge per factory, ([tex]\bar x[/tex]) = 30.2 tons
Standard deviation daily discharge per factory, (s) = 9.1 tons
Compute the critical value of t for 95% level of confidence and (n - 1 =) 27 degrees of freedom as follows:
[tex]t_{0.05/2, 27}=2.052[/tex]
*Use a t-table.
Compute the 95% confidence interval for the true population mean of pollutant discharge as follows:
[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot\frac{s}{\sqrt{n}}[/tex]
[tex]=30.2\pm 2.052\times\frac{9.1}{\sqrt{28}}\\\\=30.2\pm 3.53\\\\=(26.67, 33.73)\\\\\approx (26.7, 33.7)[/tex]
Thus, the 95% confidence interval for the true population mean of pollutant discharge is (26.7 tons, 33.7 tons).
Please help me answer this question!
Answer:
D. -3 and 3
Step-by-step explanation:
We are given an output of 2. This means this is the value we need an input for. We need to find a number(s) that lie on the x axis and when we move up, you get an output of 2.
Option A:
If we are given an input of -2, we start at (-2, 0) and move up until we reach a point on the line. We end up lying on the point (-2, 3). Thus, the output for having an input of -2 is 3 which proves that this answer is incorrect.
Option B:
As stated above -2 has an output of 3 which is wrong. Since we know this, we can eliminate this as an option.
Option C:
If we are given an input of -3, we start at (-3, 0) and move up until we reach a point on the line. We end up lying on the point (-3, 2). Thus, the output for having an input of -2 is 2 which proves that this answer is correct.
Option D:
We know that -3 is a possible input so we just need to check 3 as an input.
If we are given an input of 3, we start at (3, 0) and move up until we reach a point on the line. We end up lying on the point (3, 2). Thus, the output for having an input of 3 is 2 which proves that this answer is also correct.
Since we know that -3 and 3 are possible inputs for an output of 2 on the graph, we need to include them both in our answer. Thus, the answer is D.
Best of Luck!
The graph of a linear function has a slope of 3 and contains the point (15, 6). What is the y-intercept? PLEASE HELP!
Answer:To get from this point to the y-intercept, we must move up 4 units (rise) and to the right 2 units (run). ... How To: Given a graph of linear function, find the equation to describe the function. ... This function has a slope of 2 and a y-intercept of 3. ... Notice that a vertical line, such as the one in Figure 15, has an x-intercept, but no
Step-by-step explanation:
Hi, I need help with this equation
[tex]9^7/9^n = 9^2[/tex]
what is the value of n?
Will give brainliest to accurate answer.
A bakery sold a total of 80 cupcakes in a day, and 95% of them were chocolate
flavored. How many of the cupcakes sold that day were chocolate flavored?
Answer:76
Step-by-step explanation:
The sum of two numbers is 32 their difference is 10. Find the numbers.
The two numbers are: 21 and 11
Step-by-step explanation:
Let x and y be the two numbers.
x+y = 32
x-y = 10 Rewrite this as x = y+10 and substitute for x in the first equation.
(y+10) + y = 32 Simplify and solve for y.
2y+10 = 32 Subtract 10 from both sides.
2y = 22 Divide both sides by 2.
y = 11
x = y+10
x = 11+10
x = 21
Answer:
y = 11
Step-by-step explanation:
x + y = 32
10 + y + y = 32
10 + 2y = 32
2y = 22
y = 11
I think this is it plz don't get mad if it is wrong
Jamal needs to dig a ditch 15 yards long.
Jamal digs 7 yards in the morning and
another 3 yards after lunch. How much is left to dig
more of the ditch is left to dig?
Answer:
5 yards
Step-by-step explanation:
7y+3y=10yards
15yards-10yards=5yards
There are 24 hours in one day. The total hours is a function of the days. Does this situation represent a linear or nonlinear function?
Linear
or
nonlinear
Which algebraic expression represents the perimeter of the rectangle?
2x + 2
4x + 3
Answer:
12x + 10
Step-by-step explanation:
Combine the like terms. 4x + 2x and 2 + 3. Parallel sides, 6x times 2 which is 12x. 5 times 2 which is 10. Therefore, your answer is 12x + 10
Add the following military times:
0645 + 0745 =
Answer:
2316
Step-by-step explanation:
use a calculator
Answer:
0645+0745= 1390 but there are not 90 mins in an hour so you roll over 60 over those min to get 1430
2:30
explanation:
During an investigation on speed, a ball rolls down a ramp a distance of 8 m in a time of 2 seconds. What is the average speed of the ball in m/s?
Answer:
4 m/s
Step-by-step explanation:
To find the average speed of the ball, divide the number of meters by the number of seconds:
8/2
= 4
So, the average speed of the ball is 4 m/s
What are some Integers that are not whole numbers? Please help its due tomorrow!! and its currently 8pm. I need this! I'll give you brainliest.
Answer:
0,-1,-2,-3,-4,-5,-6,-7
Step-by-step explanation:
Any negative number is an integer, that is not a whole number
I’ll mark brainliest
Evaluate the following expression for
m= -3
N= 4
P= 2
(4) / (2) + (-3)
4/2 - 3
4/2 - 3/1 ( 3/1 multiply by 2 to make denominators same ok )
4/2 - 6/2
-2/2 ( simplify )
-1 is the answer
Please help me solve this problem
Answer:
x=2
Step-by-step explanation:
because if you put the equation as in x+11=6x+1 and do the equation you'll get x=2
i need help please.
Answer:
D.200.9 FT
Step-by-step explanation:
SHADOW: 46 = 110
Building: /84. /x
110*84=9240
9240/46= 200.86
rounded: 200.9
I do my math different, so sorry if it's confusing
Answer: 200.9
Step-by-step explanation: Im not 100 sure I just divided 200.9/110 like 84/46
Explique, de forma resumida, o significado dos números que expressam porcentagens nas orações a seguir. A) 10% dos alunos de uma escola não têm animal de estimação. B) 19% dos livros de uma biblioteca precisam ser catalogados. C) Segundo a Pesquisa Nacional por Amostra de Domicílio (Pnad), divulgada pelo Instituto Brasileiro de Geografia e estatística (IBGE), 51% da população brasileira é constituída por mulheres.
Answer:
Hola como esta xd lol what
You play basketball At your schools indoor stadium. You have two payment options. Option A is to buy a membership card for $20 and pay $2 each time you go to the gym, t. Option B is to pay $4 each time you go. After how many trips to the gym will the cost be the same?
Answer:
10 trips
Step-by-step explanation:
Let the number of trips to the gym be represented by t
Option A is to buy a membership card for $20 and pay $2 each time you go to the gym.
$20 + $2× t
20 + 2t
Option B is to pay $4 each time you go.
$4 × t
= 4t
After how many trips to the gym will the cost be the same?
Option A = Option B
20 + 2t = 4t
Collect like terms
20 = 4t - 2t
20 = 2t
t = 20/2
t = 10 trips.
After 10 trips, the gym cost will be the same.
The two angles below are complementary. Solve for r and round your
answer to the nearest tenth.
Answer:
70
Step-by-step explanation:
_k-1_ how do i solve this plz help
=10
2
Answer:
k = 21
Step-by-step explanation:
The lateral surface area of a cube is 400cm². Its total surface area is
_______
a)600cm² b) 2400cm² c) 500cm² d) 650cm²
Answer:
Step-by-step explanation:
Lateral surface area of cube = 4a²
4a² = 400
a² = 400÷4
a² = 100
a = √100 = √10*10
a = 10 cm
Total surface area = 6a²
= 6 * 10²
= 6* 100
= 600 cm²
Answer:
A
Step-by-step explanation:
I believe that I did this before.
What is the slope of the line that contains these points?
Pls help
Answer:
-1
Step-by-step explanation:
m=y2-y1/x2-x1
-6-(-5)=(-1)
6-5=1
-1/1=(-1)
hope this helps :3
if it did pls mark brainliest
The radar on a ship picks up two shipwrecks, A and B, 2.5 miles beneath the surface. The distance between the shipwrecks is 0.6 miles. The angle of depression, q, to Shipwreck B depends on the horizontal distance, d, from the ship to Shipwreck A. Write a function for q in terms of d.
Using the principle of trigonometry, the angle of depression, q can be expressed in terms of the horizontal distance, d as [tex]q = tan^{-1} [\frac{(d + 0.6)}{2.5}] [/tex]
Using Pythagoras :
SOHCAHTOAHorizontal distance, d to shipwreck A is added to the distance between shipwrecks A and B to obtain the total horizontal distance
Total horizontal distance = opposite = (d + 0.6) miles Vertical distance = Adjacent = 2.5 MilesTo obtain the angle of depression, q :
Tanθ = opposite / Adjacent[tex] tan q = \frac{opposite}{adjacent}= \frac{total \: horizontal \: distance}{height} [/tex]
[tex] tan q = \frac{d + 0.6}{2.5} [/tex]
Therefore, q can be written in terms of d thus ;
[tex]q = tan^{-1} [\frac{(d + 0.6)}{2.5}] [/tex]Learn more : https://brainly.com/question/17350482
Nick's phone bill is $50 per month plus $0.25 for every text message. If his bill was $108 this month, how many
text messages did he send?
Answer:
232 text messages
Step-by-step explanation:
108 - 50 = 58
[tex]58 \div .25[/tex]
232 text messages
Yw :)
how.would i solve this
Triangles LNM and SRT are similar, so corresponding angles are congruent. In particular, angles M and T are congruent. The interior angles of any triangle sum to 180º in measure, so
65º + 55º + (2x + 30)º = 180º
Solve for x :
(2x)º + 30º = 60º
(2x)º = 30º
x = 15