Answer:$198
Step-by-step explanation:
The radius of a sphere is decreasing at a rate of 2 centimeters per second. At the instant when the radius of the sphere is 3 centimeters, what is the rate of change, in square centimeters per second, of the surface area of the sphere? (The surface area S of a sphere with radius r is S = 4πr2.)
Answer:
The rate of change of the surface area of the sphere is;
-48π cm^2/s
Step-by-step explanation:
Here, we want to calculate dA/dt
Mathematically that will be;
dA/dt = dA/dr * dr/dt
From the question;
dr/dt = -2 cm/s
dA/dr = 8πr
So dA/dt will be;
-2cm/s * 8πr = -16 πr cm/s where r is 3 cm
So;
dA/dt = -48π cm^2/s
Using implicit differentiation, it is found that the rate of change of the surface area of the sphere is of -151 square centimetres per second.
The surface area of an sphere of radius r is given by:
[tex]S = 4\pi r^2[/tex]
Applying implicit differentiation, the rate of change is given by:
[tex]S = 8\pi r\frac{dr}{dt}[/tex]
For this problem:
The radius of a sphere is decreasing at a rate of 2 centimetres per second, hence [tex]\frac{dr}{dt} = -2[/tex]It also is of 3 centimetres, hence [tex]r = 3[/tex]The rate of change is of:
[tex]S = 8\pi(3)(-2) = -48\pi = -151[/tex]
The rate of change of the surface area of the sphere is of -151 square centimetres per second.
A similar problem is given at https://brainly.com/question/11496075
325 divided by 2.5 show your work
Answer:
130
Step-by-step explanation:
325 ÷ 2.5
= 130
325 divided by 2.5 is equal to 130
To divide 325 by 2.5, we can simplify the calculation by multiplying both the dividend and the divisor by 10 to eliminate the decimal point.
Thus, 325 divided by 2.5 is equivalent to (325 * 10) divided by (2.5 * 10), which becomes 3250 divided by 25.
Dividing 3250 by 25 gives us the quotient of 130.
Therefore, 325 divided by 2.5 is equal to 130. By multiplying both the dividend and divisor by 10, we effectively remove the decimal point and simplify the division process.
Learn more about division here
http://brainly.com/question/231633
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HSMath easy 10 points yk the vibes
the product of the roots of a quadratic equation 2x²-5x+3=0 is 5/2 if it is correct give reason
9514 1404 393
Answer:
It is incorrect. The product is 3/2.
Step-by-step explanation:
The factored form of a quadratic with roots p and q can be ...
a(x -p)(x -q) = ax² -a(p+q) +apq
Then the product of the roots is the ratio of the constant to the leading coefficient:
pq = (apq)/a
In the given quadratic, that product is ...
pq = 3/2 . . . . . . not 5/2
The statement that the product of roots is 5/2 is incorrect. That value does not have the required relationship to the coefficients of the quadratic.
Julio says, "If you subtract 11 from my number and multiply the difference by - 6, the result is
-78." What is Julio's number?
Julio's number is
Answer:
Julio's number is 24
Step-by-Step Explanation:
1. 24 - 11 = 13
2. 13 · -6 = -78
Answer:
26
Step-by-step explanation:
How much simple interest would $1 ,400 earn in 12 months at an interest rate of 3.25%?
Answer:
$45.50
Step-by-step explanation:
Interest = Principal x rate x time (in years)
I = 1400 x .0325 x 1
Answer:
$45.50
Step-by-step explanation:
Every day kianna practices softball and piano each day she practices for 2 hours if after 7 days she practiced both softball and piano for a total of 24.5 hours how many hours per day did kianna ptactice piano
Answer: 1.5 hours
Step-by-step explanation:
Softball was practiced for 2 hours each day.
After 7 days she must have practiced it for;
= 7 * 2
= 14 hours
She practiced both piano and softball for a total of 24.5 hours. She therefore practiced piano for;
= 24.5 - 14
= 10.5 hours
If in 7 days she practiced piano for 10.5 hours, everyday she must have practiced piano for;
= 10.5/7
= 1.5 hours
What is the area of the triangle?
A. 8.64 ft2
B. 10.8 ft2
C. 14.4 ft2
D. 17.28 ft2
Answer: 8.64
Step-by-step explanation:
3.6 * 4.8 = 17.28
17.82/2 = 8.64
Answer:
A. 8.64 ft²
Step-by-step explanation:
The equation for the area of a triangle is A = 1/2bh
b is base and in this case 4.8
h is height and in this case 3.6
A = 1/2 (3.6)(4.8)
A = 8.64
Hope this helped :)
The ____is used to measure volume.
Liter
Gram
Meter
Answer: A. A liter is used to measure Volume
if a/3 =b/2 what are the following ratios a+b=4a
Answer:
5a:3b. Related Answer. If 2a-3b=1and5a+2b=50, then what is the value of a-b? ... If a : b = 4 : 5 ," find "(5a-b. play · like-icon ... Add the following expressions: (i) x^3-2x^2y+ ... 4(a+b)/2(a?b) 3a+3b/2a?2b (a+b)^2/(a?b)^2 a?b/a+b 2a?2b/5a+5b.5a:3b. Related Answer. If 2a-3b=1and5a+2b=50, then what is the value of a-b? ... If a : b = 4 : 5 ," find "(5a-b. play · like-icon ... Add the following expressions: (i) x^3-2x^2y+ ... 4(a+b)/2(a?b) 3a+3b/2a?2b (a+b)^2/(a?b)^2 a?b/a+b 2a?2b/5a+5b.
Step-by-step explanation:
5a:3b. Related Answer. If 2a-3b=1and5a+2b=50, then what is the value of a-b? ... If a : b = 4 : 5 ," find "(5a-b. play · like-icon ... Add the following expressions: (i) x^3-2x^2y+ ... 4(a+b)/2(a?b) 3a+3b/2a?2b (a+b)^2/(a?b)^2 a?b/a+b 2a?2b/5a+5b.
What is the value of r in the equation?
-1.5(4-r)--12
-6
O4
O
4
O6
Answer:
I am going to say 6 , please let me know if I am wrong :)
Please solve the new value of x !!!!!!! Please HELP !!!!!!! Will mark BRIANLIEST !!!!!!!!!
Answer:
51
Step-by-step explanation:
PLEASE HELP
Write an equation of the line in slope-interecpt form that is perpendicular to the line below and goes through
the point below:
perpendicular to 2 – 3y = 3 and goes through (5, -9)
Answer:
Sure!
Step-by-step explanation:
A new suit costs $678.90 but it is on sale for 40% off. Find the discount and the new price.
Answer:
654.9
hope this can help
On what intervals is the graph increasing and or decreasing
Answer:
Using interval notation, it is described as increasing on the interval (1,3). Decreasing: A function is decreasing, if as x increases (reading from left to right), y decreases.
Step-by-step explanation:
I WILL MARK BR HELP PLZ
Answer:
C)8
Step-by-step explanation:
So you are supposed to fill in that bottom equation with the top to get
-4x=x2+2x+8
+4x
x2 +6x+8
(x+4)(x+2) (remember x=-2,-4)
y=-4x
y=-4(-4)
y=16
y=-4x
y=-4(-2)
y=8
I really need help......
Answers choices are in the picture
Answer: I believe the answer is b.
The graph represents the fees in thousands of dollars,y, depending well the amount invested in millions ,x, with one financial investment firm
over what interval is the change constant
o [0,5)
o[1,5)
o[0,20)
o[1,20)
Answer:
c .
Step-by-step explanation:
Answer:
I think it would be b. [1,5)
Step-by-step explanation:
WILL GIVE BRAINLIEST Bryan owes the bank $7. He gets paid $35 for
babysitting and deposits it into his account. What will
his bank balance show?
Answer:
$28
Step-by-step explanation:
I need the answer to this question I don’t understand it
$7.95 lunch; 15% tip
Answer:
Ok $1.19 tip.
Step-by-step explanation:
So 7.95 (0.15)= 1.1925
round to nearest dollar, $1.19
Answer:
1.1925 dollars
Step-by-step explanation:
1% of 7.95 is 0.0795
0.0795 x 10 = 0.795
0.0795 x 5 = 0.3975
15% = 1.1925 dollars
Please help me asap! pleaseee
PLZ HELP IM TWO WEEKS BEHIND THE SCHOOL CALLED MY MOM
Which describes dependent events?
drawing a blue marble and a yellow marble at the same time from a bag of marbles
drawing the ace of spades from a deck of cards, putting it back into the deck, and
drawing the king of spades.
rolling a six-sided number cube and getting an even number, then rolling the same six-sided number cube and getting an even number again
flipping two coins at the same time and getting heads on one and tails on the other
Answer: Drawing a blue marble and a yellow marble at the same time from a bag of marbles is the example of dependent events.
Step-by-step explanation: When the cards are replaced, or flipping coins or rolling dice, the outcome of the first event does nor affect the probability of the next event.
Drawing two marbles at the same time is essentially the same as drawing one and Not replacing it and then drawing the second one. The number of marbles left affects the probability.
Answer:
A
Step-by-step explanation:
Please help me! 8 pts and brainliest!! please
One angle is a complementary pair is twice as large as the other. What is the measure of the larger angle?
a. 30°
b. 60°
c. 90°
d. 120°
Answer:
60 degrees
Step-by-step explanation:LARGE ANGLE...60-degrees
So, we have x + 2x = 90. Solving for x, we get x = 30. Since the first angle was called x, that means it's measurement is 30°. The second angle, 2x, is just twice the first angle, so its measurement is 60°
HEEEEEEEELP PLEASE asap
Please help, Answers to any of these questions??
Answer:
13) began with 34
Step-by-step explanation:
20 cards replaced and now have 37
37-20=17
17 is half of the baseball cards
17x2= 34 which is what you began with
CAN SOMEONE PLEASE HELP AND EXPLAIN THIS
Answer:
what are the options? I'll say it in the comments
do anybody know the answer I need it
Answer:
It is C
Step-by-step explanation:
Simplify. - (3x2)0
Please and thank you:)
Answer:
the answer is A
Step-by-step explanation: