Answers
Answer:
The answer is 7
Related Questions
the volume of a sphere is increasing at a rate of 7 cm^3/s. Find teh rate of change when volume is 4pi/3
Answers
The question is incomplete. The complete question is :
The volume of a sphere is increasing at a rate of 7 cm^3/sec. Find the rate of change of its surface area when its volume is 4 pi / 3 cm^3. (Do not round your answer.)
Solution :
Volume of the sphere, [tex]$V=\frac{4}{3} \pi r^3$[/tex]
Given that [tex]$\frac{dV}{dt}= 7 \ cm^3/s $[/tex]
V = [tex]$\frac{4 \pi}{3} = \frac{4 \pi r^3}{3}$[/tex]
∴ r = 1
[tex]$\frac{dV}{dt} =\frac{4}{3} \pi .3.r^2 \ \frac{dr}{dt}$[/tex]
[tex]$7 = \frac{4}{3} ( \pi )(3) (1)^2 \frac{dr}{dt}$[/tex]
[tex]$\frac{dr}{dt}=\frac{7}{4 \pi}$[/tex] cm/s
Surface area, [tex]$A = 4 \pi r^2$[/tex]
[tex]$\frac{dA}{dt} = 8 \pi r \ \frac{dr}{dt}$[/tex]
[tex]$\frac{dA}{dt} = 8 \pi \times \frac{7}{4 \pi} \times 1$[/tex]
[tex]$=14 \ cm^2/s $[/tex]
What property does the following expression demonstrate? 9(3x) = (9x3)x
Answers
Answer: x=0,\root(3)(3)
Step-by-step explanation: Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Brainliest or a thank you please? :))
9514 1404 393
Answer:
associative property of multiplication
Step-by-step explanation:
We assume your equation is ...
9(3x) = (9·3)x
The parentheses have moved to a different portion of the product. This is allowed by the associative property of multiplication. It lets you associate parts of the product any way you like.
_____
Additional comment
It is not a good idea to use "x" to indicate multiplication in an expression in which "x" is a variable. There are many other ways to indicate multiplication, including using the "times" symbol (×).
A box of 3 picture hangers sells for $2.22. What is the unit rate
Answers
Answer:
0.74 cents each unit piece
Step-by-step explanation:
2.22 ÷ 3 = 0.74
What is the solution of 4x + 10 = 30?
X =
If 2 people answer then I’ll mark one of them brain list(that give me the correct answer)
Answers
so first you have to add the like terms so move 10 to the other side and if move numbers over the equal sign it changes
So it will become
4x= 30 - 10
Then subtract
It’s 4x=20
Then u have to remove the 4 so u divide both sides by 4
4x/4 = 20/4
4/4 is 1 but u don’t put the 1 if there is a X so it’s just x
X=20/4
Now u divide the 20 with 4
It’s 5
So
X=5
Hope it helps!
Which table shows proportional relationship between x and y?
Answers
Answer:
C
Step-by-step explanation:
For a relationship to be proportional, x/y needs to be the same for all rows.
5/8 is not 12/15
5/3 is not 15/11
3/8 is not 5/12.
The table C checks out with a ratio of 3:5
find the total service area of this cone. leave your answer in terms of pi.
r=10in h=24in
Answers
Answer:
36pie inch²
Step-by-step explanation:
Answer attached
Hope it helps :)
A rectangle that has a side length of 9 centimeters and 6 centimeters. What is the area of the rectangle?
Answers
One side = length, other = width
9 cm * 6 cm = 54 cm^2
The area of 54 cm^2
(Quick plz!!)
The Venn diagram represents different categories of real numbers. Which category on the Venn diagram is represented by this set?
[-8,1, 23. 11. 49)
A)
Irrational Numbers
B)
Integers
C
Natural Numbers
D
Rational Numbers
Answers
Answer:
the answer is d
Step-by-step explanation:
I just took the test
ZABD and ZDBC are supplementary angles.
What is the measure of x?
x = [?]
DK
X 148°
AR
>C
>C
B
Angles are not drawn to scale.
Enter
Answers
Answer:
Solution given:
x+148=180°[linear pair]
x=180°-148=32°
x=32° is your answer
Step-by-step explanation:
solution :
Given,
X+48 °= 180° [ being linear pair ]
X=180°-48°
X=32°
so,
X=32° answer.
hope it is helpful to you ☺️
f(x) = x²+1
What is f(f(x))?
Answers
Answer:
f(f(x)) = x⁴ + 2x² + 2
Step-by-step explanation:
if f(x) = x² + 1, then f(f(x)) is equal to:
f(x)² + 1
= (x² + 1)² + 1
= x⁴ + 2x² + 1 + 1
= x⁴ + 2x² + 2
Nigel has 1 cups of butter in his refrigerator. He wants to make cookies and cupcakes. The equation y = 0.5x represents the amount of
butter, in cups, y needed per dozen cookies, X. The table below shows the number of cups of butter needed based on the number of
cupcakes made
Answers
Answer:
37
Step-by-step explanation:
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
time that the rocket will hit the ground, to the nearest 100th of second.
y= -16x2 + 1812 + 59
Answers
Answer:
The rocket will hit the ground after 113.28 seconds.
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]
[tex]\Delta = b^{2} - 4ac[/tex]
The height of a rocket, after t seconds, is given by:
[tex]h(x) = -16x^2 + 1812x + 59[/tex]
Using this equation, find the time that the rocket will hit the ground.
This is x for which [tex]h(x) = 0[/tex]. So
[tex]-16x^2 + 1812x + 59 = 0[/tex]
Then [tex]a = -16, b = 1812, c = 59[/tex]
[tex]\Delta = (1812)^2 - 4(-16)(59) = 3287120[/tex]
[tex]x_{1} = \frac{-1812 + \sqrt{3287120}}{2*(-16)} = -0.03[/tex]
[tex]x_{2} = \frac{-1812 - \sqrt{3287120}}{2*(-16)} = 113.28[/tex]
The rocket will hit the ground after 113.28 seconds.
Mrs. Shaw writes this equation on the board. She asks the students to find
the solution.
-40 -2(3m + 1/2)= 7m -2
Keith’s work is shown below. What mistake did Keith make?
-40 - 6m + 1 = 7m - 2
-39 - 6m = 7m -2
-39 = 13m - 2
-37 = 13m
-2 11/13 = m
Answers
Suppose to be:
-40 - 6m - 1 = 7m - 2
Which of the following is NOT a unit of volume?
A. square meter
B. cubic meter
C. pint
D. milliliter
Answers
Answer:
C. pint
Step-by-step explanation:
Find the measure of <4.
{
44
158°
{
44 = [?]
Answers
Answer:
<4 = 22
Step-by-step explanation:
<4 = x
x + 158 = 180
x = 22
Same side interior angles are supplementary
<4+158=180<4=180-158<4=22°Which expression has a value located to the right of 1 on the number line?
a) -1 - 7
b ) 1 - 7
c) - 7 - 1
d) 7 + 1
Answers
My sis got stuck on these can you tell me the answer.
Answers
Answer:
you are supposed to guess how many inches the objects are after. that you need you to ACTUALLY measure them and round to the nearest inch. half of an inch and a forth of an inch
Step-by-step explanation:
here is an example so if it measures 2.25 inches it would be
nearest inch:2 inches
nearest 1/2 inch: 2 inches
nearest 1/4 inch: 2. 25 inches
Help me to find the surface area pls :( :(
Answers
Answer:
154.521
Step-by-step explanation:
Have a good day!
Answer:
154.521
Step-by-step explanation:
Hey! I am stuck on this question anyone mind helping me? and tysm for the people who helped me! <3 have a nice day!
Answers
Answer: 166 2/3m
Step-by-step explanation:
Area of a rectangle = length times width
Length: 16 2/3
To find the width, multiply it by 3/5.
w = 16 2/3 · 3/5
w = 10
Then, multiply the length by the width.
a = l · w
a = 16 2/3 · 10
a = 166 2/3m
Find the slope and y - i intercept of the line y = 4/3 * x - 3 .
Answers
Answer:
(2,-4)
hope this helps
Step-by-step explanation:
Answer:
slope: 4/3
y-intercept: -3
Step-by-step explanation:
the number before x is the slope.
the number at the end of the equation is the y-intercept.
PLS HELP IVE BEEN ASKING FOR 3 1/2 DAYS IM ABOUT TO FAIL 7th GRADE ITS OVERDUE WILL GIVE BRAINLIEST IF YOU ANSWER THIS TYSM
Answers
Answer:18 days
Step-by-step explanation:
Answer:
18 days to consume the apple
Step-by-step explanation: 18 because it takes 3 days for a half so six days equals 1 whole apple multiply that by 3 an you'll get 18
3. If your weekly salary is $415.00, how much do you take home each week after deductions are made for federal income tax of $82.13, state tax of $9.74, social security and Medicare tax of $31.75, and retirement plan deduction of $41.50.
Answers
Answer:
retirement plan deduction of $41.50. 19.725 divided by 2.5. 6.8 x 78.9. 593.84 divided by 1.3.
Step-by-step explanation:
HELP PLS WHOEVER ANSWERS ILL GIVE BRAINLIEST
Answers
slope intercept form: y=30x+b
Answer:
A: 30
B: y=30x+14
Step-by-step explanation:
A
The rate of change, or slope, can be found from any two points (x1,y1) and (x2,y2), using the formula (y2-y1)/(x2-x1).
Let's use the points (0,14) and (2.2,80):
slope = (y2-y1)/(x2-x1)
= (80-14)/(2.2-0)
= 66/2.2
= 30
B
The slope-intercept form of a linear equation is y=mx+c, where x and y are any co-ordinates on the line, m is the slope and c is the y-intercept. Since we already know our slope (30), we can just plug this and some point on the line (eg (0,14)) into the equation to find c:
y=mx+c
14=(30)(0)+c
14=0+c
c=14
Therefore our equation is y=30x+14
What is the radius of a hemisphere with a volume of 81449 ft, to the nearest tenth
of a foot?
Answers
Answer:
44
Step-by-step explanation:
Select the function that's represented in the graph
Answers
Answer: y = x^2 - 3
y-intercept = -3
A group of neighbors is holding an end of summer block party. They buy p packs of hot dogs, with 8 hot dogs in each pack. All together, they have 56 hot dogs for the party. Write an equation to describe this situation. How many packs of hot dogs did the neighbors buy?
Answers
Answer:
8 * X = 56
Step-by-step explanation:
8 * X = 56
The circular fountain in front of the park has
a diameter of 14 feet. What is the
circumference of the fountain?
A.
43.98 ft
B.
87.96 ft
C-21.99 ft
D-153.94 ft
Answers
15 it was rigth in khan academy if u got the letter one its A
The circumference of the fountain will be 43.98 square feet. Thus, the correct option is A.
What is the circumference of a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
Let d be the diameter of the circle. The circumference of the circle will be given as,
C = πd units
The diameter of the circular fountain is 14 feet. Then the circumference is calculated as,
C = π x 14
C = 43.98 square feet
Thus, the correct option is A.
More about the circumference of a circle link is given below.
https://brainly.com/question/27177006
#SPJ2
dsfdewasedq24q2rwe3rq24rqweretretrrawsweqaeqw2e3q2wqewwasedq24q2rwe3rq24rqweretretrrawsweqaeqw2e3q2wqew
Answers
Answer:
???
Step-by-step explanation:
PLEASE HELP A BROTHER OUT
Charlie's business makes $1,051.75 on average each day. What should Charlie expect the business
to make in three weeks?
Answers
Answer:
$22,086.75 if he works 7 days a week! BUT in case of the scenerio where he works 5 days a week: $15776.25.
Step-by-step explanation:
Ok bro.
Depending on what kind of buisness he has here are the answers:
If he works 7 days a week, that means he works 21 days. 21 * $1,051.75 =
$22,086.75
If he works 5 days a week, that means he works 15 days. 15 * $1,051.75 =
$15776.25
If the matrix of coefficients of a homogeneous system of n linear equations in n unknowns does not have an inverse, then the system has infinitely many solutions. (a) Always true (b) Sometimes true (c) Never true, i.e., false (d) None of the above
Answers
Answer:
(a) Always true
Step-by-step explanation:
In the case when there is a matrix of coefficient for a homogeneous system for n linear equations so it does not have an opposite and then the system would be have the infinite various solutions
So this is always true as in this it can be unique test or infinite.
So according to the given situation, the option a is correct