Answer:
7536 [tex]km^3/sec[/tex]
Step-by-step explanation:
Given that:
Rate of decreasing of radius = 12 km/sec
Height of cylinder is fixed at = 2.5 km
Radius of cylinder = 40 km
To find:
The rate of change of Volume of the cylinder?
Solution:
First of all, let us have a look at the formula for volume of a cylinder.
[tex]Volume = \pi r^2h[/tex]
Where [tex]r[/tex] is the radius and
[tex]h[/tex] is the height of cylinder.
As per question statement:
[tex]r[/tex] = 40 km (variable)
[tex]h[/tex] = 2.5 (constant)
[tex]\dfrac{dV}{dt} = \dfrac{d}{dt}\pi r^2h[/tex]
As [tex]\pi, h[/tex] are constant:
[tex]\dfrac{dV}{dt} = \pi h\dfrac{d}{dt} r^2\\\Rightarrow \dfrac{dV}{dt} = \pi h\times 2 r\dfrac{dr}{dt} \\$Putting the values:$\\\Rigghtarrow\dfrac{dV}{dt} = 3.14 \times 2.5\times 2 \times 40\times 12 \\\Rigghtarrow\dfrac{dV}{dt} = 7536\ km^3/sec[/tex]
What is the approximate area of the circle shown below
I need help on this question please!! Look at image :)
Answer:
(x, y) ––> (x – 2, y – 1)
Step-by-step explanation:
Two units left would make it (x – 2, y).
Then two units down would make it (x – 2, y – 2)
Then one unit up would make it (x – 2, y – 1)
Find the value of X in the triangle shown
Write the equation in standard form
using factoring.
f(x) = (2x
+
1)(x – 4)
Answer:
2x^2-7x-4
Step-by-step explanation:
=2x^2-8x+x-4
=2x^2-7x-4
Solve the question
Show work
Answer:
Step-by-step explanation:
Given functions are,
f(x) = 2x - 3
g(x) = x³ - 2
h(x) = x² - 3x + 5
(10). f(4) = 2(4) - 3
= 5
g(-2) = (-2)³ - 2
= -8 - 2
= -10
f(4) + g(-2) = 5 -10 = -5
(11). g(3) = 3³ - 2 = 25
h(1) = 1² - 3(1) + 5
= 1 - 3 + 5
= 3
g(3) - h(1) = 25 - 3 = 22
(12). f(2) = 2(2) - 2 = 2
h(-3) = (-3)² - 3(-3) + 5
= -27 + 9 + 5
= -13
f(2).h(-3) = 2(-13) = -26
Pls help grades close today I’ll brainlest for the right answer
Answer:
decrease 40%
Step-by-step explanation:
20/50 * 100 = 40
Need help with this question it’s my first time on here !
Answer:
We conclude that the statement 'To host a wedding with 104 people, 13 tables will be needed'.
Hence, option C is correct.
Step-by-step explanation:
We know that when 'y' varies directly with 'x', we get the equation
y ∝ x
y = kx
where 'k' is termed as the 'constant of variation'.
Given that a wedding reception seats 8 people at each table.
Given that the relationship between the number of people 'p' and the number of tables 't'.
p = 8t
CHECKING OPTION A
substitute t = 22 in the given equation
p = 8 × 22 = 176 people
It means to host 176 people, 22 tables will be needed.
Hence, OPTION A is INCORRECT!
CHECKING OPTION B
substitute t = 8 in the given equation
p = 8 × 8 = 64 people
It means to host 64 people, 8 tables will be needed.
Hence, OPTION B is INCORRECT!
CHECKING OPTION C
substitute t = 13 in the given equation
p = 8 × 13 = 104 people
It means to host 104 people, 13 tables will be needed.
Hence, OPTION C is CORRECT!
CHECKING OPTION D
substitute t = 6 in the given equation
p = 8 × 6 = 48 people
It means to host 48 people, 6 tables will be needed.
Hence, OPTION C is INCORRECT!
Thus, we conclude that the statement 'To host a wedding with 104 people, 13 tables will be needed'.
Hence, option C is correct.
At the gym, Jasper was able to bench press 224 pounds, which was StartFraction 7 over 8 EndFraction of the weight that Balin was able to bench press. Which shows the correct equation and value of x, the weight that Balin could bench press
Answer:
Balin could bench press 256 pounds.
Step-by-step explanation:
Jasper was able to bench press 224 pounds, which is 7/8 of x, which is the weight that Balin was able to bench press. So, mathematically:
[tex]\frac{7}{8}x = 224[/tex]
[tex]7x = 224*8[/tex]
[tex]x = \frac{224*8}{7} = 256[/tex]
Balin could bench press 256 pounds.
Answer:
d
Step-by-step explanation:
Two side length of a triangle are given as 9 cm and 5 cm. What could be the length of its third side?
Answer: Two sides are given 5 cm and 9 cm. .Therefore, the third side can not be greater than or equal to (9+5)=14 cm and it can not be less than or equal to (9–5)=4 cm
Step-by-step explanation:
Please Give me brainliest
Answer:
Step-by-step explanation:
the length to the third side can be
a) a^2+b^2=c^2
a=9, b=5
c^2=81+25=106
c=sqrt106=10.29
or
a=5, c=9
b^2=c^2-a^2
b^2=81-25=56
b=sqrt56=7.48
Find the value of x.
Answer:
x = 18°
Step-by-step explanation:
The sum of interior angles of any polygon is given by:
180(n -2) , where n is the number of sides of that polygon.
So for this pentagon;
The sum of its interior angles = 540°
∴
90 + (9x -6) + (3x + 23) + 95 + (7x - 4) = 540
19x + 198 = 540
19x = 540 - 198 = 342
x = 342 ÷ 19 = 18°
Find the x- and y-intercepts of the equation x – 5y = –15. Question 16 options: A) x-intercept: (0,3), y-intercept: (–15,0) B) x-intercept: (0,–15), y-intercept: (3,0) C) x-intercept: (–15,0), y-intercept: (0,3) D) x-intercept: (3,0), y-intercept: (0,–15)
Answer:
y-intercept: (3,0) C) x-intercept: (–15,0)Step-by-step explanation:
Given the expression x - 5y = -15
x intercept occurs at y = 0
Substituting y = 0 into the expression
x - 5(0) = -15
x - 0 = -15
x = -15
Hence the x-intercept occurs at (-15, 0)
y intercept occurs at x = 0
Substituting x = 0 into the expression
0 - 5y = -15
-5y = -15
y = -15/-5
y = 3
Hence the y-intercept is at (0, 3)
Liz flips a coin 50 times. The coin lands heads up 24 times and tails 26 times. Based on Liz’s results, what is the experimental probability of the coin landing on heads?
Answer:
48%
Step-by-step explanation:
First, lets start with what we know.
Coin was flipped 50 times. Landed Heads 24 times, and landed tails 26 times.
Now, we want this in a percentage. So:
24 = x
50 = 100
We know that 50 is 100/2. So, we can multiply both of the numbers to get a percentage.
24 × 2 = 48
26 × 2 = 52
In conclusion, the experimental probability for the coin landing on heads is:
48/100 OR 48%
tomatoes are $2.75 per pound, or you can buy a 5 pound box for $11. what is the better value option?
Answer:
The better value is 5pounds for $11
Step-by-step explanation:
2.75×5= $13.75
so the 5 pounds for $11 would be better because the other option would cost $13.75 for the same amount
Answer:
buying the box for $11 is the better option
2.75×5=13.75
so 5 pounds separately would be $13.75
which is a multiple of 6?
3?
16?
39?
54?
Answer:
54 is a multiple of 6
Step-by-step explanation:
Step-by-step explanation:
54..
_______________________
A TV has an original price of $399. Enter the new price after the given percent of change.
20% decrease
The new price is $ ?.
Answer:
Step-by-step explanation:
399 x .20 = 79.8
399 - 79.8 = 319.2
The new price of the TV after a 20% decrease is $319.20
What is the midpoint for CD given the coordinates C (-4,8) and D (8,-4).
A. (0,0)
B. (2,2)
C. (4,4)
D. (6,6)
find exact value sin^2 40° + cos^2 40°
Answer:
1 i think i looked it up on mathaway
Step-by-step explanation:
1
Help ASAP help quick
Answer:
Step-by-step explanation:
the value pi/12 is the solution for the equation 2 cos^2 (4x) - 1 = 0 : true or false
Answer:
[tex]2 \cos ^{2} (4x) - 1 = 0 \\ \cos ^{2} (4x) = \frac{1}{2} \\ \cos(4x) = \sqrt{ \frac{1}{2} } \\ 4x = { \cos }^{ - 1} ( \sqrt{ \frac{1}{2} } ) \\ x = \frac{ { \cos}^{ - 1} ( \sqrt{ \frac{1}{2} } )}{4} \\ x \isnt \: \frac{\pi}{2} [/tex]
8. Write the missing symbol (+,-, or =) to
make the equation true. Use precise math
language to explain how you chose the symbol.
16 = 4 + 8 ⚪️ 4
I want to know the exact height of the big column
Can someone help me please.
Step-by-step explanation:
Realistic domain: t >= 0 (as time is non-negative)
When t = 0,
v(0) = -3(0)² + 73(0) + 50 = 50.
Hence Jennifer started with $5000.
Vertex = -b/2a = -(73)/2(-3) = 73/6.
When t = 73/6
v(73/6) = -3(73/6)² + 73(73/6) + 50 = 494.08.
The maximum value is $49,408.
Find the equivalent expression.
8(2x−3y)+4(y−3x
Evaluate -7 1/3 - (-2/5)=
Answer:
-6 14/15
Step-by-step explanation:
Determine whether each quadrilateral is a parallelogram. Justify your answer. Yes/No? Reason... opposite side congruent, opposite angles congruent, opposite sides parallel, diagonals bisect each other, one pair of parallel and congruent sides, not enough information? (look at the image)
Answer:
yes it is a parallelogram because diagonals bisect each other.
Simplify 5(4x-2)-5(2x-10)
Answer:
Step-by-step explanation:
20x - 10 - 10x + 10
Solving like terms
10x
Write this in expanded form and find the sum.
9514 1404 393
Answer:
(c) 5 +15/4 +45/16 +135/64 +...; 20
Step-by-step explanation:
The first term of this geometric series is 5. The common ratio (r) is 3/4. The sum of the infinite series is ...
5(1/(1 -r)) = 5/(1 -3/4) = 5/(1/4) = 20 . . . series sum
Of course, the terms are ...
5 + 5(3/4) +5(3/4)² + 5(3/4)³ + ...
= 5 + 15/4 + 45/16 +135/64 + ... . . . series
Together, these observations match choice C.
6/7x - 2/5y + 5/7(y+x)
Answer:
[tex] \frac{6}{7} x - \frac{2}{5} y + \frac{5}{7} (y + x) \\ = ( \frac{6}{7} + \frac{5}{7} )x + ( \frac{5}{7} - \frac{2}{5} )y \\ = \frac{11}{7} x + \frac{15}{35} y \\ = \frac{11}{7} x + \frac{3}{7} y \\ = \frac{1}{7} (11x + 3y)[/tex]
how do you write 4.41*
[tex] {10}^{1} [/tex]
If rectangle ABCD is dilated by a scale factor of 3 with a center of dilation at vertex D, what is the perimeter of A'B'C'D?
A)
30 units
B)
60 units
C)
90 units
D)
120 units
Answer:
90
Step-by-step explanation: