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
Help I nee this ASAP, What is the price of 1 tennis ball if a package of three tennis balls cost $4.95?
Answer:
$1.65
Step-by-step explanation:
4.95/3=1.65
Answer:
One tennis ball costs $1.65
Step-by-step explanation:
?= price of one tennis ball
1 - ?
3 - 4.95
Solve: 4.95×1÷3= 1.65
Write the slope-intercept form of the equation of each line given the slope and y-intercept.
Slope = -10, y-intercept = -5
Ready?
Answer:
y=-10x-5
Step-by-step explanation:
Which expression is equilvalent to 2(x+y)+4(x+y)+8(x-y)?
Answer:
14x-2y
Step-by-step explanation:
just break down the expression by combining like terms and getting rid of the parenthesis like so:
2(x+y)+4(x+y)+8(x-y)
i multiplied the number in front of each parenthesis with both numbers inside
ex: 2(x+y)
2x+2y
result:
2x+2y+4x+4y+8x-8y
next:
14x-2y
Answer:
14x -2y
Step-by-step explanation:
2( x + y ) + 4( x + y ) + 8( x - y )
First, do the distributive property ( multiply what is in the parenthesis by what is out of it)
2( x + y ) + 4( x + y ) + 8( x - y )
2 * x + 2 * y + 4( x + y ) + 8( x - y )
2x + 2y + 4( x + y ) + 8( x - y )
2x + 2y + 4 * x + 4 * y + 8( x - y )
2x + 2y + 4x + 4y + 8( x - y )
2x + 2y + 4x + 4y + 8 * x + 8 * -y
2x + 2y + 4x + 4y + 8x - 8y
Now combine like terms
14x -2y
And you cannot simplify it anymore
Hope this helped!
Have a supercalifragilisticexpialidocious day!
6 Which expression below has a coefficient of 3?
A. 5x + 9
B. 2x-3
C. 28? + 3x – 6
gx+4
( IS IT A. B. C. or D.?)
option c is the correct cofficient of 3
*HELP ME WITH THIS PROBLEM ASAP I COULD FAIL*
Which measurement is shorter?
800 centimeters
9 meters
Answer:
800cm.
Step-by-step explanation: 800cm is equal to 8 meters.
Answer:
800 centimeters is shorter.
Step-by-step explanation:
If 8x−5y=−3 is a true equation, what would be the value of 8x−5y+7?
Answer:
Value of 8x -5y + 7 is 4.
Step-by-step explanation:
Given that:
8x-5y = -3 Eqn 1
It is a true equation.
Now we have to find the value of the given expression
8x -5y + 7
Putting value of 8x-5y from Eqn 1 in the given expression
8x - 5y + 7
-3 + 7
4
Therefore,
8x - 5y + 7 = 4
Hence,
Value of 8x -5y + 7 is 4.
what transformation is?
Answer:
incomplete sentence More information At least please?
Try the following puzzle:
A bat and ball cost $1.10.
The bat costs one dollar more than the ball.
How much does the ball cost?
Answer:
10 cents
Step-by-step explanation:
the bat cost 1 dollar so subtract 1 dollar from 1.10 and you are left with .10 or 10 cents
Answer:
the ball costs $0.05
Step-by-step explanation:
if the total is $1.10, and the bat is $1 more than the ball, you do
1+2x=1.10. do the algebra, and you get 0.05. hope this helps.
2.3 - 7x + 5.1 - 3x
Please help I have 5 minutes
Answer:
2.3+5.1-7x-3x
7.4-10x
Sally rolled a 6-sided number cube 40 times and it landed on 4 eight times. What is the experimental probability of Sally getting a 4?
What number solves the equation 5(x+12)=95?
Enter your answer in the box.
plz i need an answer asap!
Answer:
Step-by-step explanation:
5(x+12)=95 (multiply 5 in the brackets)
5x+60=95 (subtract 60 on both sides)
5x=35 (divide 5)
x=7
Rewrite in y=mx+b form
- (y + 2) = 2(2x + 1)
Answer:
y=-4x-4
Step-by-step explanation:
Answer:
y=-4x+4
Step-by-step explanation:
Use order of operations, PEMDAS, to put it in y=mx+b form.
Solve the simultaneous equations
y = 4x + 1
y = 2x2 + 7x - 1
C 17. At high school A, the mean score of 50 students on a science test is 75.
At high school B, the mean score of 40 students on the same test is 80.
What is the mean score of the 90 students?
Answer:
Mean score of 90 students = 77.2
Step-by-step explanation:
Mean score of 50 students from school A = 75
Mean score of 40 students from school B = 80
We need to find mean score of the 90 students?
First we will find sum of scores of students from school A
We know that: [tex]Average=\frac{Sum\:of\:Terms}{Number\:of\:terms}[/tex]
We have Average = 75, Number of terms = 50, We need to find Sum of terms (scores)
[tex]Average=\frac{Sum\:of\:Terms}{Number\:of\:terms}\\75=\frac{Sum\:of\:Terms}{50}\\Sum\:of\:Terms= 75\times 50\\Sum\:of\:Terms=3750[/tex]
So, Sum of scores for School A = 3750
Now, we will find sum of scores of students from school B
We know that: [tex]Average=\frac{Sum\:of\:Terms}{Number\:of\:terms}[/tex]
We have Average = 80, Number of terms = 40, We need to find Sum of terms (scores)
[tex]Average=\frac{Sum\:of\:Terms}{Number\:of\:terms}\\80=\frac{Sum\:of\:Terms}{40}\\Sum\:of\:Terms= 80\times 40\\Sum\:of\:Terms=3200[/tex]
So, Sum of scores for School B = 3200
Now, We will find mean score of the 90 students?
Mean score of 90 students will be:
[tex]Average=\frac{Sum\:of\:Terms}{Number\:of\:terms}\\Average=\frac{3750+3200}{90}\\Average=\frac{6950}{90}\\Average = 77.2[/tex]
So, mean score of 90 students = 77.2
Guys please help it’s urgent!! I tried, my friend tried, my mom tried, my brother tried, and no one can get the answer she wants
Answer:
#13050
Step-by-step explanation:
lxw
30x35= 1050
Answer:
and now i tried
Step-by-step explanation:
hello new challenger (:<
PLEASE HELP ILL MARK BRAINLY One of the tables shows a proportional relationship.
Graph the line representing the proportional relationship from this table.
Answer:
A proportional relationship is something like:
y = k*x
where k is the constant of proportionality.
Notice that in these relationships we will always have the pair (0, 0)
because if x = 0:
y = k*0 = 0
Then we always have x= 0, y = 0.
Notice that in the first two tables we have the points:
(2, 0) in the first one
(0, 1) in the second one.
then neither of these can be a proportional relationship.
The only option left is the third one.
To graph the relationship, we can just graph the four points in the table.
Then draw a line that passes through all the points, like in the image below.
And this line is written as:
y = 3*x
such that:
y(1) = 3*1 = 3 -----> (1, 3)
y(2) = 3*2 = 6 -----> (2, 6)
y(3) = 3*3 = 9 ------> (3, 9)
Find the value of F, correct to two decimal places
Answer:
F = 12.14 m
Step-by-step explanation:
F is the side opposite the given 36° angle and the given side length, 15m is adjacent. It's a cosine equation that's needed.
find the cosine of 36°
(calculator necessary)
cos(36) = 0.8090169944
We should be safe to round that to .809 for this.
cos = opp/adj
Substitute what we know:
.809 = F/15 Multiply both sides by 15
.809(15) = F
12.135 = F Round to two places.
Side F is 12.14m
PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG.
Answer:
I'm pretty sure it's y= 45+25x
Answer:
y=45 + 25x
Step-by-step explanation:
When a question is asking for an initial fee, they are basically saying that you must pay that flat amount in addition to the amount you would pay for x hours of work. Say you work 5 hours. You have to multiply the number of hours, or x, by 25, then add 45.
Let U = {q, r, s, t, u, V, W, x, y, z}
A = {q, s, u, w, y}
B = {q, s, y, z}
C ={v, w, x, y, z).
List the elements in the set (B'U C) U A'
Answer:
B'=U-B={q, r, s, t, u, V, W, x, y, z}-{q, s, y, z}={r,t, u, V, W, x, y}
A'=U-A={q, r, s, t, u, V, W, x, y, z}-{q, s, u, w, y}={r,t,v,w,x,z}
B'UC={r,t, u, V,W, x, y}U{v, w, x, y, z).={{r,t, u, V,W, x, y,z}
Step-by-step explanation:
(B'U C) U A'={{r,t, u, V,W, x,y,z}U{r,t,v,w,x,z}={{r,t, u, V,W, x,y,z}
find the HCF of the following numbers by prime factorization method 324 & 432
Answer:
108
Step-by-step explanation:
324 = 2 * 2 * 3 * 3 * 3 * 3
432 = 2 * 2 * 2 * 2 * 3 * 3 * 3
The HCF is 2 * 2 * 3 * 3 * 3 = 108
Mr. Santos signs up for a plan in which he is offered a discounted rate for cable service for four months. After this period, the cost will be an additional $5 per month. His total cost for cable service for the first year will be $304.
Use the equation below to determine the discounted rate Mr. Santos will pay each month for the first four months.
4(x) + 8(x+5) = 304
a- $24
b- $18
c- $25
d- $22
f a basketball player is 90 inches tall and the scale factor for his model bobble head is 1:20. How tall is the model bobble head in inches?
Solve scale drawing problems Learn with flashcards, games, and more — for free. ... A plum tree is 7 inches tall on the scale drawing. What is ... The scale factor is 1/20. ... Josh wants to add a model of a tree to his model railroad layout. How big should the model tree be if the actual tree is 315 inches and the scale is 1:90?
Answer:
4.5 inches
Step-by-step explanation:
The scale factor is 1:20 which is 1/20, and the actual height is 90 inches.
First, write down the proportion:
1/20 = x/90
Multiply both sides by 90.
=> x = 90/20
=> x = 4.5in
Therefore, the height of the model is 4.5 inches.
Hope this helps :)
Elisa is saving an equal amount each week for 8 weeks to buy a video game that costs $40. How much is she saving each week?
A $4
B $5
C $32
D $48
Jesse chose C as the correct answer. How did he get that answer?
Answer:
Jesse must have subtracted the 8 weeks from $40 to get $32 but the answer should be b $5
Step-by-step explanation:
Write 22.056 in expanded form.
Answer:
2x10 + 2x1 + 0/10 + 5/100 + 6/1000
Step-by-step explanation:
Brianna used two congruent parallelograms and a square to create the
figure shown.
NIM
ft
ft
Answer:
b
Step-by-step explanation:
i need help please and thank you
Answers: (Always remember that supplementary means 180 degrees and complementary means 90 degrees)
1. Supplementary
2. Complementary
3. Neither
4. Neither
5. Supplementary
6. Complementary
7. Supplementary
8. Neither
9. Complementary
I hope this helps!
Factor the expression using the greatest common factor
2x + 10 =
Answer:
2(x+5)
Step-by-step explanation:
2x+10
1.Factor our the 2 from the equation
2.Your answer after will be 2(x+5)
Answer:
Step-by-step explanation:
(2x² - 5x + 12) + (x² + 72 – 8)
Answer:
3x squared - 5x+76
Step-by-step explanation:
2x^2+x^2=3x^2
-5x
12+72-8=76
what is the answers to this complete the sentences to describe the rectangles.There are rows.Each row has squares.There are squares altogether. x = .
Answer:
it is 19
Step-by-step explanation:
You break it down and divide it then u get answer