Answer:
The volume of the hollow ball will be equal to the difference between the volume of a sphere with the outer radius and the volume of a sphere with the inner radius.
Remember that the volume of a sphere of radius R is given by:
V = (4/3)*pi*R^3
where pi = 3.14
Then if R is the outer radius, and r is the inner radius, the volume of the hollow ball is:
V = (4/3)*pi*( R^3 - r^3)
In this case, we have:
R = 200m
r = 100m
Then the volume of the hollow ball is:
V = (4/3)*3.14*( (200m)^3 - (100m)^3)
V = 29,306,666.67 m^3
Now, if this hollow ball is made of iron, we want to find the mass.
Remember the relation:
Mass = Density*Volume.
We know that the density of the iron is:
D = 7300 kg/m^3
Then the mass of this hollow ball is:
M = (7300 kg/m^3)*(29,306,666.67 m^3) = 213,938,666,666.6 kg
Help me now!! 16 points!!
Answer:
it's the fourth one
Step-by-step explanation:
Solve all the problems using exponent rules and the last one equals 632
Mr kacanich was baking a chocolate cake. The recipe called for 3/4 cup of unsweetened cocoa powder, but after he started mixing ingredients, he relized he didn't have enough. If mr kacanich borrowed 1/4 cup from the neighbor, how much of his own cocoa powder did he have?
Answer:
2/4 cup
Step-by-step explanation:
Unsweetened cocoa powder needed = 3/4 cup
Unsweetened cocoa powder borrowed = 1/4 cup
how much of his own cocoa powder did he have?
Let
x = Unsweetened cocoa powder Mr kacanich has
Unsweetened cocoa powder needed = Unsweetened cocoa powder Mr kacanich has + Unsweetened cocoa powder borrowed
3/4 = x + 1/4
Subtract 1/4 from both sides
3/4 - 1/4 = x + 1/4 - 1/4
3/4 - 1/4 = x
x = (3-1)/4
x = 2/4 cup
A carpenter bought a piece of wood that was 6.85 meters long. Then she sawed 0.57 meters off the end. How long is the piece of wood now? meters. help plz
Answer:
6.28meters
it is the aswer if wrong please tell me
select the equivalent expression PLEASE HELP WILL MARK BRAINLIEST
Answer:
A 4^15 * 5^10
Step-by-step explanation:
When moving to the other side of a fration the exponent changes sign
4^3 / 5^-2 = 4^3 * 5^2
When taking an exponent to anexponet, multiply the exponents
(4^3 * 5^2)^5 = 4^15 * 5^10
Answer A
assume x and y are two odd numbers and x/y is an integer. which of the following statements are true?
1. x+y is odd
2. xy is odd
3. x/y is odd
4. x-y is odd
pls help me and DONT answer in link
Answer:
2. xy is odd
Step-by-step explanation:
We can represent the two odd numbers as 2a + 1(x) and 2b + 1(y).
1. x + y is odd
We can add x + y:
2a + 1 + 2b + 1
2a + 2b + 2
From this, we can factor out 2:
2(a + b + 2)
Since 2 is a factor, the number x + y cannot be odd.
2. xy is odd:
We can multiply x and y:
(2a + 1)(2b + 1)
4ab + 2a + 2b + 1
From the first three terms, we can factor out 2:
2(2ab + a + b) + 1
We can say that 2(2ab + a + b) is an even number because it has a factor of 2. We are adding one to it, and one added to any even number is odd, so xy is odd.
We do not need to calculate further because we have already found an answer.
According to the graph, what is the value of the constant in the equation below?
(0.5, 1) (2,4) (3,6) (5, 10)
A. 1
B. 2
C. 0.5
D. 5
Answer:
B.
Step-by-step explanation:
y = mx + b
y = 2x
Write the equation of the line in fully simplified slope-intercept form.
PLEASE HELP! ITS DUE IN 2 HOURS, I WILL GIVE BRAINLIEST. PLEASE SHOW ON GRAPH
Answer:
Step-by-step explanation:
which of the following polynomials is in standard form? (PICTURE)
Answer:
D) exponents are in decreasing order
Step-by-step explanation:
point (17,18) is located in quadrant
Answer:
25
Step-by-step explanation:
add 7+ to the quadrant to 18+
Answer:
Step-by-step explanation:
x and y both positive.
so it lies in first quadrant.
What is the area?‼️‼️‼️‼️
In a class or 30 students, 12 catch the train to school, 6 walk to school and the rest were driven by their parents. How many students are driven to school? What percentage is this?
Answer:
40percent
Step-by-step explanation:
30-12-6 is 12
12/30 times 100 is 40
Someone please help me thank you
Answer:
Screenshot of graph image.
Step-by-step explanation:
Correction to the previous answer. You need to graph the line.
Extra Information:
The Linear Equation Is [tex]y=\frac{2}{3} x+-4[/tex]
The Slope Is [tex]\frac{2}{3}[/tex]
The Y Intercept Is -4
the picture frame shown are both squares the area of a larger frame is four times the area of the smaller frame find the side length of the larger frame. a=64 in sq
Answer:
The side length of the larger square is 32
Step-by-step explanation:
Its 32 because the side lengths for the small square are 8 because 8 by 8 is 64. Multiply 8 by 4 which is 32.
Answer:
The side length of the larger frame is 128 inches.
Step-by-step explanation:
64 × 4 = 256
256 ÷ 2 = 128
Work out the size of angle ACB
Step-by-step explanation:
AOB=2ACB
ACB=112/2=56
f(x)=x². What is g(x)?
A. g(x) = 2x²
B. g(x) = (½x)²
C. g(x) = (4x)²
D. g(x) = (2x)²
Answer:
g(x) = (2x)²
Step-by-step explanation:
Mrs. Jackson has only $127.50 to spend at a clothing store. He
wants to buy a shirt that costs $87, including tax, and some
bracelets that cost $4.50 each, including tax.
Write an equation to determine, x, the amount of bracelets Mrs.
Jackson could buy.
Equation: ________________________________________________
Solve the equation to determine the number of bracelets Mrs.
Jackson could buy.
Answer:
$4.50x = $127.50 - $87
x = $40.50 / $4.50
x = 9
Step-by-step explanation:
The amount she can spend on bracelets is the total amount she wants to spend less the cost of the shirt
$4.50x = $127.50 - $87
4.50x = 40.50
divide bot side by 4.5
x = 9
There are about 18 chips in
one bag. Jackson used 2 2/5 bags for a recípe.
About how many chips did he use?
Trying to find the surface area and can not get the answer.
Answer:
Hi there user! I'll help you!
96 should be the correct answer!
Step-by-step explanation:
4 x 3 = 12
4 x 7 = 28
5 x 7 = 35
3 x 7 = 21
12 + 28 + 35 + 21 = 96
Help me !! Plzzzzz
Consider the sets:
K = {1, 2, 3, 4, 5)
L = {1,4,5,7}
List the elements in Kand L.
A)6
B) 9
C){1,4,5)
D) {1,2,3,4,5,7)
Una escalera de 30 pies de longitud está apoyada contra una pared de modo que su extremo superior se desliza hacia abajo con una velocidad de 1/2 pies/seg ¿cuál es la tasa de variación de la medida del ángulo formado por la escalera y el piso cuando el extremo superior está a 18 pies del piso?
Answer:
dα /dt = - 0.028 rad /sec or dα /dt = - 1.59 °
El signo menos significa que el angulo va decresiendo
Step-by-step explanation:
La escalera, la pared vertical y el pié de la escalera y la pared forman un triangulo rectangulo. En ese triangulo
cos α ( α angulo que forma la escalera con el piso )
cos α = x / L
Tomando derivadas con respecto al tiempo (L es constante ) se tiene:
- sen α * dα / dt = dx/ dt / L
Cuando el extremo superior de la escalera está a 18 pies del piso, entonces sen α = 18 / 30 = 0.6
dx/dt = 1/2 pie/sec
dα/dt = - (1/2)/ L* 0.6
dα /dt = - 0.5 / 18
dα /dt = - 0.028 rad /sec or dα /dt = - 1.59 °
El signo menos significa que el angulo va decresiendo
Find the side length x
Answer:
Step-by-step explanation:
pythagoras theorem
a^2+b^2=c^2
7^2+24^x^2
49+576=x^2
625=x^2
[tex]\sqrt{625[/tex]=x
25=x
The area of the base of this right rectangular prism is 14 square centimeters, and the height is 3 centimeters. What is the volume, in cubic centimeters, of this prism? I NEED THIS ANSWER IN LIKE NOW
Answer:
42cm^3
Step-by-step explanation:
Given data
Area of base= 14 square centimeters,
Height= 3 centimeters
Volume = Area* Height
Volume= 14*3
Volume= 42 cm^3
Hence the volume of the prism is 42cm^3
(3 - 8a)(-1)
please help asap
Answer:
-3 + 8a
Step-by-step explanation:
multiply 3 by -1 as well as -8a by -1 and you'll get -3 + 8a
Calcule a área da região sombreada da figura abaixo.
120°
4 cm
B
Answer:
Area of segment = 9.8 cm² (Approx.)
Step-by-step explanation:
Given:
Angle θ = 120°
Radius of circle = 4 cm
Find:
Area of segment
Computation:
Area of segment = [θ/360][π][r]² - [1/2][r²][sinθ]
Area of segment = [120/360][3.14][4]² - [1/2][4²][sin120]
Area of segment = [0.333][3.14][16] - [0.5][16][0.866]
Area of segment = 16.7299 - 6.28
Area of segment = 9.8019
Area of segment = 9.8 cm² (Approx.)
NEED HELP ASAP
Approximately how many cups of aquarium salt mix should David use for 30 gallons of purified water? Round your answer to the nearest cup.
16 cups
17 cups
17 cups
16 cups
Answer:
16.8 cups
Step-by-step explanation:
3.5 percent of 30 gallons
Please use system of linear equations by elimination OR substitution. I need the work as well please.
1) P= 64 cm, width = x, length = 14 + x
64 = x + x + 14 + x + 14 + x
64 = 4x + 28
4x = 64 - 28
4x = 36
x = 36/ 4
x = 9
AREA = 9 x (9+14)
Area = 9 x 23
Area = 207 cm
2) smaller no. = y, bigger no. = x
x - y = 3
2x+1/2y=36
Next, multiply 2 to first equation and find y:
2x-2y=6
5/2y=30
y = 12
Substitue y to x-y=3 to find x,
x = 15
3) x = pencil, y = pen
5x + 4y = $6.15
8x + 3y = 9.85$
8x + 7y = ?
5x + 4y = 6.15$ multiply both sides by -3
8x + 3y = 9.85$ multiply both sides by 4
-15x + 32x = (-3)*6.15 + 4*9.85
7x = 19.87 multiply both sides by 8/7
8x = (8/7) x 19.87
Add both equations:
32y - 15y = 8x6.15 - 5*9.58
17y = 1.3
y = 91/17) x 1.3
7y = (7/17)x 1.3
8x + 7y = (8/7) x 19.87 + (7/17) x 1.3
8x + 7y = $23.244
4) 2l + 2w = 0
2 x 2l + 2 x 1/2w = 40 + 16
l+w = 20
4l+w = 56
I’ve got l = 12 and w = 8
5) answer: 28.56 feet (approx)
step-by-step explanation:
since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.
we have to find out the measurement of segment ab.
therefore, tan 55° = \frac{ab}{bc}
but bc = 20 feet.
⇒ tan 55 ° = \frac{ab}{20}
⇒ ab = 20 × tan 55 °
⇒ ab = 20 × 1.42814800674
⇒ ab = 28.5629601348 ≈ 28.56 feet
6) The answer is teh attachment !
7) 3x-x+2=4
HOPE THE ANSWERS HELP!! PL MARK ME BRAINLIEST!
Can someone help me on this.
Answer:
The answer would be d
Step-by-step explanation:
Answer:
Step-by-step explanation:
3^(-5) is equivalent to:
1
----------
3^5
Find the volume of this cone.
Use 3 for TT.
V = T12h
3
V ~ [?]in3
sin
3in
HELP
EMEEEEEE
Answer:
18 is the answer
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A football feild is about 100 m long if it takes a person 20 seconds to run its length how fast (what speed) were they running???? Please help
Answer:
5m a second
Step-by-step explanation:
Answer:
5 mps
its simple, all you have to do is times 5 meters by 20 seconds and you get 100 meters. so its 5 mps. (sorry i explained it kinda weird)