The surface area increases when the radius of the sphere is 160π cm^2/s
Given that dt/dr =10 cm/s and r=15 cm
Find out dt/ds=?
We know that the surface area of sphere S=4πr^2
dt/ds=4π(2r)
dt/dr=8π(2)(10)
=160π cm^2/s.
Let r, V, and S be respectively the radius, volume, and surface area of the spherical balloon at time t.
∴V=4/3 πr^3 and S=4πr^2
Rate of change of surface area with respect to t
⇒ dt/dS=2
⇒ d/dt=(4πr^2)=2
⇒8πr dt/dr =24
⇒ dr/dt=1/4πr.... (i)
Rate of change of volume of the balloon with respect to t
=dV/dt
=d/dt(4/3πr^3)
= 4/3π⋅3r^2dr/dt
=4πr ^2⋅ dr/dt
=4πr^2.1/4πr ....[From (i)]
r=10
Hence, the volume of the spherical balloon is increasing at the rate of 10cm^3/sec.
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james earns $3,129 a month. He is saving 1/3 of his income each month for a down payment on his home at the end of the year. How much money will james be saving each month?
Answer:
1,043
Step-by-step explanation:
To find this, multiply 1/3 x the monthly income.
1/3(3,129)
1,043
-Xax
$1043 money will james be saving each month.
what is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
James earns $3,129 a month.
He is saving 1/3 of his income each month.
So, money will james be saving each month
= 3129 x 1/3
= 1043
Hence, $1043 money will james be saving each month.
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A sports fan conducted a test to investigate whether male high school athletes are
equally divided among football, soccer, swimming, tennis, and basketball. A sample of
male high school athletes was selected and the resulting value of the chi-square test
statistic was 10.65. Which of the following represents the p-value?
Answer:
B
Step-by-step explanation:
p(x^2>10.65)=0.03
4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4=
Answer:
132
Step-by-step explanation:
We can break up the 4's and add them that way.
4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4=132
So take lets say 4, 4's we know that 4*4=16
so keep going until you get to 132!!!
Hope this helps!
Have a great day!
-Lea
Answer:
132
Step-by-step explanation:
evaluate 13+ 6/y when y=6
Answer:
14
Step-by-step explanation:
13+6/6=13+1=14
Answer:
14
Step-by-step explanation:
13+6/6=13+1=14
14 is the answer
Anyone know the sensitivity analysis and duality?
Answer: Sensitivity Analysis. The notion of duality is one of the most important concepts in linear programming. Basically, associated with each linear programming problem (we may call it the primal. problem), defined by the constraint matrix A, the right-hand-side vector b, and the cost.
Step-by-step explanation:
What percentage of students in this dot plot spent more than 5 hours on homework?
(Hint: there are 25 dots in total)
Answer:
5
Step-by-step explanation:
Answer: 1
Step-by-step explanation:
Roberta had money in his savings account. She spent $65 of it on a new pair of shoes. She has $78 left. How much money did she have in her savings before she bought the shoes?
Answer:
$ 143
Step-by-step explanation:
she had $ x before she spent the money
x - 65 = $ 78
x = $ 143
The Least Squares Assumptions , where 1. The error term has conditional mean zero given : ; 2. , are independent and identically distributed (i.i.d.) draws from their joint distribution; and 3. Large outliers are unlikely: and have nonzero finite fourth moments. Suppose the first assumption is replaced with . What happens to ? A. The slope changes to . B. The intercept changes to . C. Nothing changes. D. Both the intercept and the slope change to and respectively. Are the rest of the OLS assumptions satisfied? A. OLS assumption (3) is satisfied but not (2). B. Both OLS assumptions (2) and (3) are satisfied. C. OLS assumption (2) is satisfied but not (3). D. Neither OLS assumption (2) nor (3) is satisfied.
Step-by-step explanation:
is satisfied but not (3). D. Neither OLS assumption (2) nor (3) is satisfied.
Assume that in a given year the mean mathematics SAT score was 515, and the standard deviation was 116. A sample of 65 scores is chosen. Use the TI-84 Plus calculator. Part 1 of 5 (a) What is the probability that the sample mean score is less than 500
Answer:
His is a normal distribution question with a) x1 = 480 x2 = 520 P(480.0 < x < 520.0)=? This implies that P(480.0 < x < 520.0) = P(-2.4326 < z < 0.3475) = P(Z < 0.3475) - P(Z < -2.4326)
Step-by-step explanation:
A Sample Of 65 Scores Is Chosen. Use The TI-84 Plus Calculator. Part 1 Of 5 (a) What Is The Probability That The Sample Mean Score Is Less Than 5007
I NEED HELPPPPP PLEASE
Answer:
x and y are both equal to 115
Step-by-step explanation:
Vertical angles are congruent (x ~= 115)
Corresponding angles are congruent (x ~= y)
ILL GIVE BRAINLEST, tell whether the angles are adjacent or vertical then find the value of x
Answer:
Step-by-step explanation:
x = 100°
Step-by-step explanation:
They are adjacent.
x + 80 = 180
x = 100°
Which solid has one rectangular base and four lateral faces in the shape of triangles?
rectangular prism
rectangular pyramid
square pyramid
triangular prism
Answer:
the answer is B
Step-by-step explanation:
Answer:
Which solid has one rectangular base and four lateral faces in the shape of triangles? rectangular prismrectangular pyramidsquare pyramidtriangular prism
Step-by-step explanation:the answer is B
inverse of f(x)=4-x^1/3
Answer:
[tex]f^{-1}(y)=(y+4)^3[/tex]
Step-by-step explanation:
f(x) = 4 -x^1/3
y = 4 - x^1/3
y + 4 = x^1/3
raise both sides to a power of 3
(y+4)^3 = x
x = (y+4)^3
[tex]f^{-1}[/tex](y)= (y+4)^3
of the 12 eggs in the carton, 3 were broken. What percent were broken?
Answer:
25%
Step-by-step explanation:
plz mark brainliest also the other answer is correct i just didnt show how
Answer:
25%
Step-by-step explanation:
3/12=d/100
12d=300
12÷12d=d
300÷12=25
d=25
hope this helps
tiny pulls with a force of 240n and utoy pull with a force of 200n. The angle between the force is 37 degree. What is th magnitude of the resultant force on the basket?
Answer:
R=417.46 N
Step-by-step explanation:
If ans is correct you can ask me for explanation .
¼ y + ⅜ ? I don't know what to do
Answer:
isn't that a graph perhaps ?
If x = 3 and y = 25, what is the value of (xy )0?
Answer:
you are the only person I can talk about and what you think of
Answer:
The value of (xu)0 will be 1.
Step-by-step explanation:
If power of any number or letter is 0, it will be 1.
solve for x using distributive property
2(x+7)=13
and
5(x-7)=17
Answer:
x= −1/2, x=52/5
Step-by-step explanation:
2(x+7)=13
(2)(x)+(2)(7)=13(Distribute)
2x+14−14=13−14
2x=−1
2x/2=−1/2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
5(x−7)=17
(5)(x)+(5)(−7)=17(Distribute)
5x+−35=17
5x−35=17
5x−35+35=17+35
5x=52
5x/5=52/5
Help me? Product of a sum and a difference
Formula; (a + b)(a - b) = a^2 - b^2
Find the product of the following
1. (2x - 5)(2x + 5)
2. (5b - 6y)(5b + 6y)
3. (4k + 7)(4k - 7)
4. (y - 5)(y + 5)
5. (3x - 2)(3x + 2)
6. (13x + 2x^3)(13x - 2x^3)
7. (2a + 1)(2a - 1)
8. (9y^2 + 8)(9y^2 - 8)
Step-by-step explanation:
hey, hope this helps. :)
Answer:
The solution is 6-->4-->9-->7-->1
Step-by-step explanation:
Pls answer thankyouuuu NO ABSOLUTELY NO LINKS OR I WILL THROW MY PHONE AT U
Answer:
option a. true.
.............
Answer:
Nice and simple :)
TRUE :)
go0ge,com
Step-by-step explanation:
Type your answer in the box.
The sample standard deviation of the data set 3, 4, 5, 6, and 7 is
final answer to 1 decimal place.)
Do you know the answ
Answer:
The standard deviation of the set is: 1.5
Step-by-step explanation:
The actual standard deviation is 1.58... but to 1 decimal place it's 1.5
Helpppppppp details in picture
Help please I’ll give extra points
Answer:
The perimeter of the resulting image is 13 centimeters
Step-by-step explanation:
we know that
Rotation, reflection, and translation are transformations that do not produce changes in the dimensions of the figure, while dilation is a transformation that does affect the dimensions of the figure.
In this problem, we have rotation and reflection
therefore
The perimeter of the resulting figure is the same as the original figure
In ΔRST, the measure of ∠T=90°, the measure of ∠R=39°, and TR = 55 feet. Find the length of ST to the nearest tenth of a foot.
Answer:
ST = 44.54 ftExplanation:
given:
∠T=90° , ∠R=39° and TR = 55 ft
ST = 55×tan(39)
ST = 55×0.80..
ST = 44.54 ft
Jaime is employed by Johnson & Johnson making $30 an hour. She had $400 in sales, which
she receives an 8% commission. If she worked 20 hours last week, what was her weekly
pay?
Answer:
$632
Step-by-step explanation:
Set up an equation:
$30(20 hours) + ($400 × 0.08)
$600 + $32
$632
what is 2+2 ?
im felling nice
Answer:
4
Step-by-step explanation:
if you had 2 cake mixes, and you had 2 more, you add them together and create 4 cake mixes and get a bigger cake. lol
Thanks so much!! Have a great rest of your day! ^^
2, 6, 10, 15, ...
O Arithmetic
O Geometric
O Neither

Given:
The sequence is:
2, 6, 10, 15,...
To find:
Whether the given sequence is Arithmetic, Geometric, Neither.
Solution:
We have,
2, 6, 10, 15,...
Different between consecutive terms are:
[tex]6-2=4[/tex]
[tex]10-6=4[/tex]
[tex]15-10=5[/tex]
Since [tex]4\neq 5[/tex], therefore the given sequence has no common difference. It means it is not an arithmetic sequence.
Ratio of consecutive terms are:
[tex]\dfrac{6}{2}=3[/tex]
[tex]\dfrac{10}{6}=\dfrac{5}{3}[/tex]
Since [tex]3\neq \dfrac{5}{3}[/tex], therefore the given sequence has no common ratio. It means it is not a geometric sequence.
Since the given sequence is neither arithmetic nor geometric, therefore the correct option is C.
Type in your answer with no spaces and all lower case x.
Factor x^2−100
Answer:
(x-10)(x+10)
Step-by-step explanation:
the answer is:(x-10)•(x+10)
Steve's mom gave him $20.00 on Monday morning to use on lunches. At his school, the school lunch costs $1.50, which he bought Monday through Thursday. On Friday, he decided to buy 4 slices of pizza instead of buying the school lunch. If the pizza costs $1.40 per slice, then how much of the money is left at the end of the school week?
help asap pleaseeeeeeeeee
Answer:
1=c
2=b
3= -2
4= (1,10)
Step-by-step explanation: