Answer:
Step-by-step explanation:
Given that the radius of a bubble increases by 4%.
Let r be the radius of the spherical bubble, so the new radius of the sphere
[tex]R= r+0.04r = 1.04r\cdots(i)[/tex]
(a) Surface area of the bobble,
[tex]s=4\pi r^2[/tex]
So, the rate of increase of surface area = [tex]4\pi R^2 -4\pi r^2= 4\pi(R^2-r^2)[/tex]
The percentage change in the surface area [tex]= \frac {4\pi(R^2-r^2)}{4\pi r^2}\times 100[/tex]
By using equation (i)
The percentage change in the surface area = [tex]\frac {(1.04r)^2-r^2}{ r^2}\times 100[/tex]
[tex]=(1.04^2-1)\times 100[/tex]
=8.160%
Therefore, the percentage change in the surface area is 8.160%
(b) The volume of the sphere = [tex]4/3 \pi r^3[/tex]
So, the change in the volume = [tex]4/3 \pi R^3-4/3 \pi r^3[/tex]
Percentage change in the volume =
[tex]\frac {4/3 \pi R^3-4/3 \pi r^3}{4/3 \pi r^3}\times 100[/tex]
[tex]=(1.04^3-1)100[/tex] [by using equation (i)]
=12.486%
Therefore, the percentage change in the volume is 12.486%.
80 points
which of the following points are the first quadrant of the XY-plane ? (there’s more than one answer!)
pls help!
picture to help
Answer:
A and c
Step-by-step explanation:
Answer and Step-by-step explanation:
This is the first quadrant. ^
|
|
Q2 | Q1
|
|
|
<--------------------------------------------------|------------------------------------------------------->
|
|
|
Q3 | Q4
|
|
V
So, anything in the first quadrant would be positive (for both values of x and y).
That means E and F are the correct choices, since both (4, 8) and (2, 2) are positive and would be found in the first quadrant.
#teamtrees #WAP (Water And Plant)
can someone help me, i also need you to explain if you can? if not, that’s ok.
Answer:
sam and eric are going on a trip and thought to rent a car. they have to pay a fee of 30 dollars and an extra 7 dollar for each hour they take. sam and eric's are planned to spend $205 or less. how many hours can eric and sam rent the car?
Step-by-step explanation:
first assign a value for the variable, I will take H as hours
Answer:
Sorry i dont know
Step-by-step explanation:
give an example of infinite solution
Answer:
?
Step-by-step explanation:
HELP ASAP PLEASE THANK YOU
Answer:
I believe X= 15
Step-by-step explanation:
What dos soy sux mean??
Answer:
Gay.
Step-by-step explanation:
I means gay, some people just refer to that but most commonly known as 'gay'.
Im confused on this can someone help me out
pls help i got stuck
Answer:
The sum is -14
Step-by-step explanation:
To solve this problem , first you should look at key words. The key word is SUM. What does sum mean? Sum means ADDING or addition. So, you know what operation to use and then ADD the values of the 3 cards. -12+3+-5 = -14.
So the sum of the values are Of LuAnn's three cards is -14. Hope it helps!
~ Happy holidays
Solve for x please help me out
Answer: x=5, choice D
Step-by-step explanation:
you have two vertical angles
11x=55
55/11=5
x=5
please help me on this!!
Answer:
a-4
b-3
c-1
Step-by-step explanation:
simplify the expression 3 √ 2 - 5 √ 18
4x-8y=-26 9x+4y=13
Please help
Answer:
X = 0
Y = 3.25
Step-by-step explanation:
Hope this helps. Pls give brainliest.
Answer:
x = 0
y = 3.25
Step-by-step explanation:
You can do elimination. Multiply (9x + 4y = 13) by 2
4x - 8y = -26
18x + 8y = 26
22x = 0
x = 0
4(0) - 8y = -26
-8y = -26
y = 3.25
Here are the ingredients needed to make 8 biscuits.
Biscuits
To make 8 biscuits
90g of butter
35g of sugar
125g of flour
Hamid has 315g of butter
150g of sugar
500 g of flour
Work out the greatest number of biscuits Hamid can make.
The greatest number of biscuits Hamid can make is 28.
What is the greatest number of biscuits Hamid can make?The first step is to determine the quantity of each ingredient needed to make 1 biscuits.
Grams of butter needed to make 1 biscuit : 90 / 8 = 11.25gGrams of sugar needed to make 1 biscuit : 35 / 8 = 4.38gGrams of flour needed to make 1 biscuit : 125 / 8 = 15.63gNow determine the number of biscuits that can be made using each of the ingredients
Butter = 315 / 11.25 = 28Sugar = 150 / 4.38 = 34Flour = 500 / 15.63 = 32To learn more about ratios, please check: https://brainly.com/question/19257327
#SPJ1
The area of a square is 100 square centimeters.
What is its perimeter?
OA. 40 centimeters
OB. 50 centimeters
OC. 80 centimeters
OD. 100 centimeters
OE. 400 centimeters
Answer:
answer choice a
Step-by-step explanation:
..............
The regular octagon shown is divided into 8 congruent triangles. Each triangle has an area of 21.7 square centimeters. The
Perimeter of the octagon is 48 centimeters.
The length of the octagon is 6cm, the area is given by 3h and the height is 7.23 cm.
What is a triangle?A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.
In a triangle, the sum of all three angles is 180°
Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.
Given the octagon with a perimeter of 48 cm
Let's say the length of each side is a
Perimeter = 8a
8a = 48
a = 6cm
Now,
The area of the triangle is given by
A = 1/2 × Base × Height
A = 1/2 × 6 × h
A = 3h
Now
A = 3h and the area is 21.7 cm²
So,
h = 21.7/3 = 7.23 cm
Hence "The length of the octagon is 6cm, the area is given by 3h and the height is 7.23 cm".
For more information about triangles,
https://brainly.com/question/2773823
#SPJ2
Given question is missing an image of the octagon is given below;
One teacher wants to give each student 2/3 of a slice of pizza. If the teacher has 6 slices of pizza, then how many students will she be able to hand out pizza to?
A surfboard was originally priced at $199. The store reduced the price by 10%. A customer bought the surfboard using a coupon for $20 off. How many dollars did the customer pay?
Answer:
$159.1
Step-by-step explanation:
Given that:
Original price of surfboard = $199
Reduction of price done = 10%
Then a coupon is used by a customer for $20 off.
To find:
How many dollars were paid by the customer?
Solution:
First of all, let us find the price after the reduction of 10% from the original price.
10% of $199 = [tex]\frac{10}{100}\times 199 = \$19.9[/tex]
This price is reduced from the original price.
Price after reduction = $199 - $19.9 = $179.1
Now, again there is coupon of $20.
Therefore, final price that the customer had to pay = $179.1 - $20 = $159.1
How to do this question -14=k-4
Answer: hope this helps .
Step-by-step explanation:
If I get $18 (USD) every 2 weeks and I start with $45.01 how many weeks will it take to get to $130.17?
Find the 93rd term of the arithmetic sequence -5, -15, -25, ...−5,−15,−25,...
Answer:
The nth term will be:
[tex]a_{93}=-925[/tex]Step-by-step explanation:
Given the sequence
-5, -15, -25, ...
An arithmetic sequence has a constant difference 'd' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
computing the differences of all the adjacent terms
[tex]-15-\left(-5\right)=-10,\:\quad \:-25-\left(-15\right)=-10[/tex]
The difference between all the adjacent terms is the same and equal to
[tex]d=-10[/tex]
The first element of the sequence is:
[tex]a_1=-5[/tex]
Thus, the nth term will be:
[tex]a_n=a_1+\left(n-1\right)d[/tex]
substituting the values [tex]d=-10[/tex]; [tex]a_1=-5[/tex]
[tex]a_n=-10\left(n-1\right)-5[/tex]
[tex]a_n=-10n+5[/tex]
Plug in n = 93 to determine the nth term
[tex]a_{93}=-10\left(93\right)+5[/tex]
[tex]a_{93}=-930+5[/tex]
[tex]a_{93}=-925[/tex]
Therefore, the nth term will be:
[tex]a_{93}=-925[/tex](Linear Equation) solve by the Elimination method
3x-2y=11 (I)
x-4y=3
Answer:
x = 3.8 , y = 0.2
Step-by-step explanation:
Answer:
[tex]\huge\boxed{x=\dfrac{19}{5};\ y=\dfrac{1}{5}\to\left(\dfrac{19}{5};\ \dfrac{1}{5}\right)}[/tex]
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}3x-2y=11&|\text{multiply both sides by (-2)}\\x-4y=3\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-6x+4y=-22\\x-4y=3\end{array}\right}\qquad|\text{add both sides of the equations}\\.\qquad-5x=-19\qquad|\text{divide both sides by (-5)}\\.\qquad\boxed{x=\dfrac{19}{5}}[/tex]
[tex]\text{Substitute it to the second equation}\\\\\dfrac{19}{5}-4y=3\qquad|\text{multiply both sides by 5}\\\\19-20y=15\qquad|\text{subtract 19 from both sides}\\\\-20y=-4\qquad|\text{divide both sides by (-20)}\\\\y=\dfrac{4}{20}\\\\\boxed{y=\dfrac{1}{5}}[/tex]
Please answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Answer:
[tex]2 \sqrt{15} [/tex]
Xander spends most of his time with his 10 closest friends. He has known 4 of his 10 friends since kindergarten. If he is going to see a movie tonight with 3 of his 10 closest friends, what is the probability that the first 2 of the friends to show up to the movie are friends he has known since kindergarten but the third is not?
1/30
9/125
12/125
1/10
Answer:
The answer correct answer is 1/30
Step-by-step explanation:
Answer:
1/30
Step-by-step explanation:
help me find the slope
how many times does 80 go into 766 i need it asap
Answer:
9
Step-by-step explanation:
Answer:
Step-by-step explanation:
the answer is 9.575
The table gives the prices of a few items sold at a school cafeteria.
Item Cost
Bagel $2.00
Juice $0.90
Sandwich $3.00
Cupcake $1.50
Match the prices with the sets of items purchased by students.
-
$12.50
$15.00
$10.00
$11.60
-
2 bagels and 4 cupcakes
5 juices and 4 bagels
4 bagels and 4 juices
4 sandwhiches and 2 cupcakes
Answer:
$10.00 - 2 bagels and 4 cupcakes
$11.60 - 4 juices and 4 bagels
$12.50 - 5 juices and 4 bagels
$15.00 - 4 sandwhiches and 2 cupcakes
Also, Why does everyone like bagels so much???????
Select the correct answer. Which is the simplified form of the expression ? A. B. C. D. here is a photo of it and 40 points and who ever gives me answer marked brainlyest
We are to simplify the expression given
The simplified form of the expression is option B. 67/10x + 9
Given:
= 3(7/5x + 4) - 2(3/2 - 5/4x)
= [tex] \frac{21}{5} x + 12 - \frac{6}{2} - \frac{10}{4} x[/tex]
= 21/5x + 12 - 6/2 + 10/4x
collect like terms
= 21/5x + 10/4x + 12 - 6/2
= (84x+50x)/20 + (24-6)/2
= 134/20x + 18/2
= 67/10x + 9
Read more:
https://brainly.com/question/1280754
Answer: 67/10x + 9 would be your answer.
Write 0.047883 correct to 2 significant figures
Answer:
0.048
explanation:
F
is directly proportional to
a
.
If
F
=
24
when
a
=
8
find,
F
when
a
=
6
Answer:
F=6*24/8.....F=6*3=18
One yard is approximately 0.91 meter. Write a direct variation equation that relates x yards to y meters.
Answer:
x=(y .91)
Step-by-step explanation:
1 yard means only 1 x
.91 meters which is y
H = -16t^2 + 84t + 100 what is maxium height
Answer:
[tex]H=210.25\ \text{units}[/tex]
Step-by-step explanation:
Given that,
[tex]H = -16t^2 + 84t + 100[/tex] ...(1)
We need to find the maximum height
For maximum height, put dH/dt = 0
[tex]\dfrac{d(-16t^2 + 84t + 100)}{dt}=0\\\\-32t+84=0\\\\t=\dfrac{84}{32}\\\\t=2.625\ s[/tex]
Put t = 2.625 in equation (1)
[tex]H = -16(2.625)^2 + 84(2.625) + 100\\\\=210.25\ \text{units}[/tex]
Hence, the maximum height [tex]=210.25\ \text{units}[/tex]