Solution :
Volume of ball = Volume of outer ball - Volume of inner ball
[tex]V = \dfrac{4\pi R^3}{3} - \dfrac{4 \pi r^3}{3}\\\\V = \dfrac{4\pi}{3}( R^3 - r^3 )\\\\V = \dfrac{4\pi}{3}( 200^3 - 100^3 )\\\\V = \dfrac{4\pi}{3}(2^3 - 1^3) \times 10^6\\\\V = 2.93 \times 10^7 \ m^3[/tex]
Now, density of iron is, d = 7300 kg/m³.
So, mass of iron ball is :
[tex]m = d\times V\\\\m = 7300\times 2.93 \times 10^7 \ kg\\\\m = 2.14 \times 10^{11}\ kg[/tex]
Hence, this is the required solution.
Question 32 The numbers represented by variables a and c, on the number line, are integers. if c > b > a, under which of the following conditions could the expression b < -1 be true? when a = -4 and c = 0 B when a = - 1 and c = 3 OO C when a O and c 8 when a 1 and c = 2
The number line inequality will be true for the following condition given in this problem:
When a = 0 and c = -8.
How are real numbers represented on a number line?On a number line, real numbers increase from left to right, meaning that:
Large negative numbers come before small negative numbers, which come before small positive numbers, and finally, come the large positive numbers.
For this problem, the inequality is:
c > b > a.
Which means that:
c is to the left of b.b is to the left of a.We have that b < -1, hence:
c < -1 (can be -2, -3, -4, and so on...).a > -1 (can be 0, 1, 2, 3, and so on)...Then the conditions that make the statement b < -1 true are given as follows:
When a = 0 and c = -8.
More can be learned about number line inequalities at https://brainly.com/question/24372553
#SPJ1
Write the regression line equation for the following data.
X 43 21
25 42 57 59 33
Y 99 65 79 75 87 81
92
A) 0.53x - 3.58
B) 0.31x + 70.21
70.21 +0.31%
D) -3.58 +0.53x
Answer:
B) y = 0.31x + 70.21
Step-by-step explanation:
Put the data into 2 lists and use the LinReg feature on the TI-84 to get your regression equation.
A 17-foot ladder is leaning against a building. The base of the ladder is 8 feet
from the base of the building. The side of the building and the ground form
a right angle as shown.
Enter the distance between the ground and the top of the ladder, x, in feet.
Answer:
Pythagorean theorem:
x^2 = 17^2 - 8^2
x^2 = 225
x = sqrt(225) = 15
The distance is 15 ft
Answer:
Solution given:
base=8ft
hypotenuse=17ft
perpendicular=?
By using Pythagoras law
hypotenuse ²=perpendicular ²+base²
17²=perpendicular ²+8²
perpendicular ²=17²-8²
perpendicular=[tex]\sqrt{225}=15[/tex]
the distance between the ground and the top of the ladder, x is 15ft.Select the correct answer. (And pls no link)
Compare the two functions.
f(x)= 1/50(3)^x
g(x)=1/5x^2
Answer:
20 is right
Step-by-step explanation:
to easy I know maths
Answer:
When your comparing the two functions.
F(x)= 1/50(3)^x
G(x)=1/5x^2
When you compare it i think it would be C
PLEASE DONT QUOTE ME ON THIS
Step-by-step explanation:
Adding and subtracting unlike fractions in word problems
Ben is making waffles for his friends. the recipe calls for 2/3 cup of bleached flour and 1/4 cup of wheat flour. what is the total amount of flour Ben needs to make the waffles?
what operation is needed to solve this problem?
A) -
B) +
C) ÷
D) ×
Drag and drop one equation into the space provided which correctly shows the relationship between the variables in the table.
Answer:
v = 2c
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIST
Answer:
B
Step-by-step explanation:
∠ 3 and ∠ 8 are alternate angles and are congruent, then
6x + 3 = 4x + 29 ( subtract 4x from both sides )
2x + 3 = 29 ( subtract 3 from both sides )
2x = 26 ( divide both sides by 2 )
x = 13 → B
There are 64 students in a class. 40 of them passed in Mathematics, 32 passed in Science and 15 passed in Mathematics as well as Science. How many students were unsucessful in both subjects ? (with process)
Answer:
7 students
Step-by-step explanation:
64 - (40+32-15) =
64 - (72-15)=
64-57 = 7
PLEASE HELP ME!!! ILL GIVE BRAINLIEST IF ITS RIGHT
Answer:
266.386
Step-by-step explanation:
im not shore if its right, i used a surface area calculator
Answer:
56ft
Step-by-step explanation:
Surface area is adding up all the sides multiplied by 2, so:
8 x 2 = 16ft
8 x 2 = 16ft
12 x 2 = 24ft
24ft + 16ft + 16ft = 56ft
(X+4) • (3x)
(Help answer this )
Answer:
3x^2 +12x
Step-by-step explanation:
(x+4) • (3x)
Distribute
3x*x + 3x*4
3x^2 +12x
Solve for r. Round to the nearest tenth of a degree, if necessary. P 5 3.1 Q R
Help, please!! I don’t have much time
Answer:
B.
Step-by-step explanation:
if f(x)=35x+25
and g(x)=22x+18
find 5f(4)+2g(10)
Answer:
1301
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 35x + 25
g(x) = 22x + 18
f(4) is x = 4 for function f(x)
g(10) is x = 10 for function g(x)
Step 2: Find Function Values
f(4)
Substitute in x [Function f(x)]: f(4) = 35(4) + 25Multiply: f(4) = 140 + 25Add: 165g(10)
Substitute in x [Function g(x)]: g(10) = 22(10) + 18Multiply: g(10) = 220 + 18Add: g(10) = 238Step 3: Evaluate
Substitute in function values: 5(165) + 2(238)Multiply: 825 + 476Add: 1301PLEASE HELP ME! WILL MARK BRAINLIEST
Answer:
THE SECOND ANSWER
Step-by-step explanation:
The following pie chart represent the number of valid votes by four students the total no of voters is 720. A) who has won and by how many votes B) who got the minimum c) how man votes are obtained
Plz hurry plz I need urgently
Answer:
I only know this much.....
A) Deepthi has won the election.
B) Rashmi got minimum number of votes.
A committee consisting of 5-studnts is to be formed out of 10, of which 4-are females and 6-are males. How many committees can be formed if 3 males are to be included
Answer:
120 committees can be formed if 3 males are to be included
Step-by-step explanation:
Total members in the committee = 5
Out of 10 people, 6 are males and 4 are females
In committee of 5 people, 3 males are to be chosen out of 6 and 2 females are to be choses out of 4
Total number of outcomes = 4C2 * 6C3
Total number of outcomes = 6 * 20 = 120
anong uri ito ng NGO/PO?
[tex]_____________________________________[/tex]
ANSWER:Ang uri ng NGO/PO ay isang magagalang na salita saating bansa at ito ay dapat gamitin sa mga nakakatanda saatin upang sa paggalang.Akala ko ako lang Pilipino dito
[tex]_____________________________________[/tex]
꧁____YunaKoharuChan____꧂Given circle Q with a measure of SR= 120° and a radius of 9 feet, as shown below.
Determine the arc length of SR. Use mathematics to explain how you determined your answer
Has photo ❤️
Answer:
18.84feet
Step-by-step explanation:
Length of an arc = rtheta
radius r = 9feet
theta = SR= 120°
Convert theta to radians
theta = 120π/180
theta= 2π/3
Length of the arc = 9 * 2π/3
L = 18π/3
L = 6π
L = 6(3.14)
L = 18.84feet
Hence the length of the arc is 18.84feet
What is the volume of the following rectangular prism?
8/3units
21/2units2
Volume =___ units3
Answer:
73.5
Step-by-step explanation:
Step 1: 21/2 divided by 2 = 21/4
Step 2: 21/4 times 21/4 times 8/3 =
Answer: 73.5
The green shaded box is there to show that that is the base are to find the two sides that were multiplied to get that do the first step. Then do your basic volume formula: length times width times height.
2(x + 10) = -60 solve for x
Answer:
2x + 20 = -60
-20 -20
2x = -80
Divide by 2 on both sides.
X = -40
Answer:
-40
Step-by-step explanation:
2(x + 10) = -60
step 1 distribute the 2 to the x and 10
2 * x = 2x
2 * 10 = 20
we now have 20 + 2x = -60
step 2 subtract 20 from each side
20 - 20 cancels out
-60 - 20 = -80
we now have 2x = -80
step 3 divide each side by 2
2x / 2 = x
-80 / 2 = -40
we're left with x = -40
solve for x rounding to nearest tenth
What strategies do you use when measuring the volume of a rectangular prism? Share your thinking using 2-3 sentences.
you wanna know my strategy? I grab a hammer, smash the rectangular prism open, and drink its insides and see how much my stomach fills. EZ.
2 3/4 + 5 1/2 please answer fast
hope this helps you
8 1/4
PLZ MARK BRAINLY
Step-by-step explanation:
2¾+5½
4x2+3=11
2x5+1=11
therefore we have
11/4 + 11/2
(11+22)/4
33/4= 8¼
If your Gross Pay for a week at work is $340, and you have to pay 23% in taxes, what is your Net Pay (what you take home)?
Answer:
$261.80 Net pay
Step-by-step explanation:
340 x 0.23 = $78.20 in taxes
$340 - $78.20 = $261.80 Net pay
Answer:
$261.8 Is how much you take home.
Step-by-step explanation:
(* is multiply)
In order to find the percentage of a value, you multiply the value by the percent. Think of 100% as a scale of 1 to 0.00, since 100% of something has all of it's value, so 50% would be 0.5
23% of 340 is 78.2 ( 340 * 0.23)
Subtract 340 by 78.2, and you get your net pay, 261.8
Another way to do this is subtract 100% by 23%.
so 1 - 0.23= 0.77, which is how much percent of that pay you get to keep
so 340 * 0.77 = 261.8
ANSWER ASAP TEST IN ONLY 45 MINUTES
Simplify the expression. 5 + 5(x – 4) – 7x
a) 2x + 25
b) -2x - 25
c) -2x - 15
d) 2x + 15
Answer:
-2x-15
Step-by-step explanation:
Answer: C. -2x-15
Step-by-step explanation: 5 + 5(x – 4) – 7x
5(x-4)-7x+5
(5x-5×4)-7x+5
5x-20-7x+5
5x-7x-20+5
-2x-15
what is the answer to my problem
Determine the missing side length of the triangle please and thank you!
Answer:
90
Step-by-step explanation:
It is a right angle
Answer:
8.944
Step-by-step explanation:
Use the Pythagorean theorem to find the unknown side.
[tex]a^{2} +b^{2} =c^{2} \\x^{2} +8^{2} =12^{2} \\x^{2} = 12^{2} -8^{2}\\x=8.944[/tex]
Matti built a greenhouse in his backyard as shown below. A triangular prism with a rectangular base. The prism has a base of 7 feet by 15 feet. The height is 7 feet. The side lengths are 7.8 feet. How much cubic space is in Matti's greenhouse? 191.1 ft 367.5 ft 382.2 ft 735.0 ft
Answer:
Capacity of Matti's green house = 367.5 cubic feet
Step-by-step explanation:
Given:
Base Width and Length = 7 feet by 15 feet
Height of prism = 7 feet
Find:
Capacity of Matti's green house
Computation:
Capacity of Matti's green house = Volume of rectangular base[triangular prism]
Volume of rectangular base[triangular prism] = Area of triangular base x Height
Capacity of Matti's green house = [(1/2)(7)(7)][15]
Capacity of Matti's green house = [(1/2)(49)][15]
Capacity of Matti's green house = [(24.5)][15]
Capacity of Matti's green house = 367.5 cubic feet
Answer:
367.5 Cubic ft3
Step-by-step explanation:
Just look at the other persons explanation
(Please give them brainliest)
Can someone help me with this please
Answer:
x = 61
Step-by-step explanation:
These 2 angles are supplementary which means they add up to 180:
2x - 6 + x + 3 = 180
3x - 3 = 180
3x = 183
x = 61
plz help i beg uu. Will give branliest