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.
The quotient of a number and 8 is 16.
What is the solution to the equation?
Answer:
The number is 128
Step-by-step explanation:
Let n = be the unknown number
n/8 = 16
Multiply each side by 8
n = 16*8
n=128
Answer:
The number is 128
Step-by-step explanation:
Let n = be the unknown number
n/8 = 16
Multiply each side by 8
n = 16*8
n=128
The lengths of the legs of a right triangle are 8 inches and 9 inches. What is the length of the hypotenuse? Round to the nearest inch. Enter your answer in the box.
The length of the hypotenuse in a right triangle is 12 inches.
What is the Pythagoras theorem?The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.
Given that, the lengths of the legs of a right triangle are 8 inches and 9 inches.
Let the length of the hypotenuse be x.
Here, x²=8²+9²
x²=64+81
x²=145
x=√145
x=12.04
x≈12 inches
Therefore, the length of the hypotenuse is 12 inches.
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Spencer borrowed $50 from his cousin, who charged him 6% simple interest each year. If Spencer pays his cousin back 3 years later, how much will he owe his cousin?
A
$56
B
$59
С
$68
D
$6
Given:
Principal = $50
Rate of simple interest = 6%
Time = 3 years
To find:
The amount after 3 years.
Solution:
Formula for simple interest:
[tex]I=\dfrac{P\times r\times t}{100}[/tex]
Where, P is principal, r is the rate of interest in percentage and t is the number of years.
Putting [tex]P=50,\ r=6,\ t=3[/tex] in the above formula, we get
[tex]I=\dfrac{50\times 6\times 3}{100}[/tex]
[tex]I=\dfrac{900}{100}[/tex]
[tex]I=9[/tex]
Formula for amount is:
[tex]A=P+I[/tex]
Where, P is principal and I is the simple interest.
Putting [tex]P=50,\ I=9[/tex], we get
[tex]A=50+9[/tex]
[tex]A=59[/tex]
Therefore, the correct option is B.
78215431 in international system
78215431 in indian system
International - seven eight million two hundred fifteen thousand four hundred thirty one
Indian - seven crore eighty two lack fifteen thousand four hundred thirty one
78'215'431
7'82'15'431
Do the functions in the table represent exponential growth or exponential decay?
Move the options to the spaces to correctly complete the table.
Function
Exponential Growth or Decay?
(x) = 0.5G)
f (x) = 0.9(0.5)*
f (x) = 21(1.6)
FC) = 320(3)
Decay, decay, growth decay
The average height of 3 apartment blocks is 145.6 m the height of block A is 128.7 m and the height of block C is 138.9 m what is the height of block B?
Answer:
[tex]H_B=169.2m[/tex]
Step-by-step explanation:
From the question we are told that:
Average height of blocks [tex]H_{ABC}=145.6[/tex]
Height of block A [tex]H_A=128.7[/tex]
Height of block C [tex]H_C=138.9[/tex]
Generally the equation for Height of block C is mathematically given by
Since
[tex]H_{ABC}=\frac{H_A+H_B+H_C}{3}[/tex]
Therefore
[tex]H_B=(H_{ABC}*3)-(H_A+H_B)[/tex]
[tex]H_B=(145.6*3)-(128.7+138.9)[/tex]
[tex]H_B=169.2m[/tex]
Find the value of x that makes:
Answer:
correct value of x = 5
Step-by-step explanation:
[tex] \frac{ {( - 2)}^{4x + 2} }{ {( - 2)}^{2x} } = {( - 2)}^{12} \\ = \frac{ {( - 2)}^{4 \times 5 + 2} }{ { ( - 2)}^{2 \times 5 } } \\ = \frac{ {( - 2)}^{22} }{ { ( - 2)}^{10} } \\ = \frac{4194304}{1024} \\ = 4096 = 4096(i.e \: {( - 12)}^{12} = 4096) \\ [/tex]
I need help no files just type the whole thing in
Answer:
the answer to C. Is 3/8.
The answer to D. Is 5/8.
Step-by-step explanation:
Please Answer! Will Give Thanks and Brainliest!
Solve the picture below please!
Answer:
2nd and 3rd options
Step-by-step explanation:
please help me in math
When we have negative exponents, we can move the term with the exponent to the bottom of the fraction. This is also known as multiplying by the reciprocal (and changing the negative exponent to be positive!).
The reciprocal of z^-3 would be 1 / z^3.
Hope this helps!! :)
Mrs. Rashad is baking 3 pies. She needs 16 cups of strawberries for each pie. How many cups of strawberries does she need in all?
Make an equation to solve the problem. Move numbers and a symbol to the blanks to make the equation. If there is no whole number in the
answer, put a 0 in the box after the equals sign.
Answer:
48
Step-by-step explanation:
1 pie = 16 cups
you need 3 pies
add 16 three times
16+16+16=48
Aubrey came across an ad for a brand new gym that does not charge a sign-up fee but charges a membership fee of $52.00 per month. She is trying to decide which gym would be the best option if she's only planning on joining for 6 months. A. What would be the total cost for 6 months of membership at her local gym? (Charges $18.00 per month plus a sign-up fee of $95.00 ; Use the expression 18m+95 to find your answer.) B. What would be the total cost for 6 months of membership at the brand new gym? (Charges $52.00 per month and no sign-up fee. Use the expression 52m to find your answer.) C. Which gym would be the better deal for a 6 month membership? (Write either: Local Gym OR New Gym )
Answer:
LOCAL GYM
Step-by-step explanation:
Local gym :
Signup fee = $95 ; monthly cost = $18
6 months cost :
18m + 95
18(6) + 95 = $203
6 months cost at new gym :
$52 per month
Cost = $52 * 6 = $312
The best gym for a 6 month deal is the local gym
Local gym Cost < new gym cost
If the relationship between the independent and dependent variables is discovered to be false after another (third) variable is considered, that relationship between the independent and dependent variables is called
Answer:
"Spurious relationship" is the correct answer.
Step-by-step explanation:
A word always used to characterize a statistical association among two values, which purports to be directly connected, sometimes by coincidences or because of the function of such an intermediate step third factor after careful review, seems to have been, is defined as Spurious.Misconduct whatsoever amongst two factors which would also be produced by a third factor is a Spurious relationship.The relationship between the independent and dependent variables in this case can be referred to as: spurious relationship.
What is a Spurious Relation?A spurious relationship can be described as a statistical association between two variables, which are claimed to be directly connected to each other, and may in fact, just be a coincidence or may have been connected together by an intermediate or third factor when carefully examined.
Therefore, the relationship between the independent and dependent variables in this case can be referred to as: spurious relationship.
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what is the solution to 24+∣−23∣+(−32)
Answer:
15
Step-by-step explanation:
24 + ∣−23∣ + (−32)
∣−23∣ is 23
+ (−32) is - 32
24 + 23 − 32 = 15
- 2 1/4 ÷ (- 1 1/2) =
Answer: 1 1/2
Step-by-step explanation:
Here is the correct answer
The festival sends Dani a map of where people will launch their kites. A portion of the map is shown. How far apart does each kite flyer stand? Round to the nearest foot. Explain please hurry
Answer:
16 ft.
Step-by-step explanation:
Distance Formula:
A = (2,2)
B = (12,14)
So, sqrt(12^2 + 10^2) = 16 ft.
This is the same for B to C.
So, 16 ft.
Mark me as Brainliest if this is correct! I really appreciate it! :D
I really need help lol so please do me a favor
Answer:
the answer should be 5/8.
Step-by-step explanation:
look at number of x.
Answer:
3/4
Step-by-step explanation:
When you simplify 6/8 (you get this by subtracting 1/8 from 7/8) , you get 3/4.
Which equation represents an exponential function with an initial value of 500?
O f(x) = 100(5)^x
Of(x) = 100(x)^5
O f(x) = 500(2)^x
Of(x) = 500(x)^2
Answer:
[tex]o \: f(x) = 500 {(x)}^{2} [/tex]
Step-by-step explanation:
[tex]f(x) = 500 {(x)}^{2} \\ f(0) = 500 {(0)}^{2} \\ = 500[/tex]
The width of a rectangle is 4 meters less than twice the length. The area is 96 square meters. Find dimensions
Answer:
Step-by-step explanation:
The width of a rectangle is 4 meters less than twice the length. The area is 96 square meters. Find dimensions
PLEASE HELP ME THANK U *0*
Find the RATIO and the EXACT VALUE of the given Cos A.
Answer:
Step-by-step explanation:
take angle A as reference angle
using cos rule
cos A=adjacent/hypotenuse
cos A=12/13
cos A=0.92
A=cos 23
A=23 degree
for ratio,
cos A=12/13
Cos( A ) = AC / AB [ Ratio ]
Cos( A ) = 12 / 13 [ Ratio ]
Cos( A ) = 0. 92307 [ Exact value ]
Jamie took a quiz and got 15 questions out of 20 questions right what was his grade percentage?
Answer:75%
Step-by-step explanation:
15 out of 20 is 75%
Three airlines serve a small town in Ohio. Airline A has 48% of all scheduled flights, airline B has 35% and airline C has the remaining 17%. Their on-time rates are 81%, 70%, and 41%, respectively. A flight just left on-time. What is the probability that it was a flight of airline A
Answer:
If a flight just left on-time, the probability that it was a flight of airline A is 56.06%.
Step-by-step explanation:
Since three airlines serve a small town in Ohio, and Airline A has 48% of all scheduled flights, airline B has 35% and airline C has the remaining 17%, and their on-time rates are 81%, 70%, and 41%, respectively, if a flight just left on-time, to determine what is the probability that it was a flight of airline A the following calculation must be performed:
A = 0.48 x 0.81 = 38.88
B = 0.35 x 0.7 = 23.5
C = 0.17 x 0.41 = 6.97
38.88 + 23.5 + 6.97 = 100
38.88 = X
69.35 = 100
38.88 = X
38.88 x 100 / 69.35 = X
3,888 / 69.35 = X
56.06 = X
Therefore, if a flight just left on-time, the probability that it was a flight of airline A is 56.06%.
In the circle above, DE = 2, CE = 6, and BE = 3.
What is the measure of EA?
A) 2
B) 3
C) 6
D) 4
Answer: The correct option is (D) 4.
Step-by-step explanation:
According to the intersecting chords theorem, if two chords intersect in a circle then the products of the length of the chord segment are equal.
Given:
DE = 2
CE = 6
BE = 3
Now calculating the the value of EA.
As per theorem:
[tex]DE\times CE=BE\times EA[/tex]
Now putting the all the given values in this expression, we get:
[tex]2\times 6=3\times EA\\\\EA=4[/tex]
Therefore, the measure of EA is 4.
i need need help on this
Answer:
points A, B and D are all in the same plane but not all are on the same line
Step-by-step explanation:
points A, C, D are all collinear which means they must also be coplanar
PLEASE HELP ASAP !!!!
Explain Larissa's mistake using 1-3 complete sentences.
Answer:
Line 6
Step-by-step explanation:
The graph intersects at (-5, 16) and (2, 2)
Because she needs to plug the x's back into the equation
so [tex]16 = -2(-5) + 6[/tex] or [tex]16 = -5^{2} + -5 - 4[/tex]
and [tex]2 = -2(2) + 6[/tex] or [tex]2 = 2^{2} + 2 - 4[/tex]
The graph shows the relationship between the number of granola bars and amount of calories per bar.
part a y= x × 100
Step-by-step explanation:
1 bar is 100 calories so you would times it by 100 for every bar
Find l.
l
l= [?] in
115 in.
12 in.
please help me i’m desperate
The resale value of a diamond ring when purchased new is $10,000. The ring is expected to gain 12% of its value each year. Which graph shows the predicted value of the ring over time? Use the drop-down menus to complete your answer below.
Answer:orange graph k,/ 10,000/ Increases
Step-by-step explanation:
1. solve for p: p - 17 = 13
2. solve for m: 23 + m = 31
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
1st Question :-[tex]p - 17 = 13 \\ p = 13 + 17 \\ p = 30[/tex]
✍ The value of p is 30.
2nd Question :-[tex]23 + m = 31 \\ m = 31 - 23 \\ m = 8[/tex]
⎆ The value of m is 8.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
Answer:
p=30, m=8
Step-by-step explanation:
1. if p - 17 = 13, then p = 13+17, which is equal to 30
2. if 23 + m = 31, then m = 31-23, which is equal to 8
Do the opposite of the sign, for instance in question 1 it's -17, so you would +17 to calculate p.