Answer:
0.0048cm/s
Step-by-step explanation:
Volume of the spherical balloon is expressed as;
[tex]V = 4/3 \pi r^3\\[/tex]
dV/dt = dV/dr * dr/dt
Given
dV/dt = 5cm³/s
dV/dr = 4πr²
Since V = 972picm³
972π = 4/3πr³
972 = 4/3r³
4r³ = 972 * 3
r³ = (972 *3)/4
r³ = 729
r = ∛729
r = 9cm
dV/dr = 4π(9)²
dV/dr = 324π
dV/dt = dV/dr * dr/dt
5 = 324πdr/dt
dr/dt = 5/324π
dr/dt = 5/324(3.14)
dr/dt = 5/1017.36
dr/dt = 0.0048cm/s
write the fraction 32/40 in simplest form
Answer:
4/5
Step-by-step explanation:
32/40
Both can be divisible by 4
32 ÷ 4 = 8
40 ÷ 4 = 10
8/10
8 and 10 can be simplified again by 2
8 ÷ 2 = 4
10 ÷ 2 = 5
4/5
This cannot be simplified anymore, to check just divide.
32/40 = 0.8
4/5 = 0.8
The simplified form of 32/40 is 4/5.
How to simplify the fraction 32/40To simplify the fraction 32/40, we can find the greatest common divisor (GCD) of the numerator (32) and denominator (40) and divide both by that value.
The GCD of 32 and 40 is 8. By dividing both the numerator and denominator by 8, we can simplify the fraction:
32 ÷ 8 = 4
40 ÷ 8 = 5
Therefore, the simplified form of 32/40 is 4/5.
Learn more about fraction at https://brainly.com/question/78672
#SPJ6
James and Sylvie need to paint the line around the outside of a soccer field. To know how much paint to buy, they must find the perimeter of the field. James claims, “I can calculate the perimeter by using the formula P = 2(l + w) .” Sylvie replied, “That’s not right. The correct formula is
P = 2l + 2w .” Who is correct? Provide evidence to support your answer.
Answer:
Both of them are correct.
The perimeter is found by adding up all four sides. If you notice, one of them is width and one of them is length. A rectangle has four sides, two width and two length.
l= length and w=width so P=2l+2w.
But, we can combine them by factorizing 2l+2w.
Lets see what we can pull out. We can only pull out 2.
2(l+w)=2l+2w.
2(l+w)=P
Both of them are correct.
Hope this helps plz hit the crown :D
I neeeddd helppppppppp
Answer:
4.
Step-by-step explanation:
A and D are opposite.
A is in the negative side and d is in the positive side.
Suppose that Cecil, the tightrope walker, can only travel lengths of 5 feet, 6 feet, and 8 feet.
• He can travel forward (positive 5, 6, 8)
• backward negative (-5, -6-8)
can go past the ladder and come back.
.
Show TWO number expressions that will represent a way for Cecil to cross a tightrope of
12 feet. ONE way MUST use a negative.
Edit
View
Insert
Format no
Tools
Table
12pt
Paragraph
В І
2
T²V
:
Answer:
The two expressions are;
1) -8 ft. + 3 × 6 ft. = 12 feet
2) -6 ft. + 2 × 5 ft. + 8 ft. = 12 feet
Step-by-step explanation:
The given parameters are;
The lengths in feet Cecil can travel = 5 feet, 6 feet, and 8 feet
The distances Cecil can travel forward = (positive 5, 6, 8)
Backwards Cecil can travel distances of (-5, -6, -8)
Cecil can go forward past the ladder and return back
Therefore, the number expressions by which Cecil can cross a tightrope 12 feet long are;
1) -8 ft. + 3 × 6 ft. = 12 feet
Which is to go back 8 feet and then to go forward 6 feet three times
2) -6 ft. + 2 × 5 ft. + 8 ft. = 12 feet
Which is to go back 6 feet then to go forward in 5 feet two times and then in forward again in 8 feet.
If a rectangular prism was 5 feet long, 5 feet high and 6 feet deep, how much would it weigh if one cubic foot weighed 0.1 tons?
Answer:
Total weight = 1,500 tons
Step-by-step explanation:
Given:
l = 5 ft
b = 5 ft
h = 6 ft
One cubic foot weighed = 0.1 tons
Find:
Total weight
Computation:
Volume = lbh
Volume = (5)(5)(6)
Volume = 150 ft³
Total weight = Volume / 0.1
Total weight = 150 / 0.1
Total weight = 1,500 tons
If you save $125 each week for 12 weeks, how much will you be able to save?
Answer:
1,500 dollars
Step-by-step explanation:
You would do 125 times 12 = 1,500
Answer:
1,500$ Multiply 12 by 125!
Step-by-step explanation:
Brainliest?
Hiii! My goal is to have a lot of friends and help a lot of people on this app. Sooooo...... if you could friend me, then go to all the question I will ever answer and put 5 stars and like them? Please? It will make my year. :)
I need help! Plzzzz
Let P(x) = 25(x + 2)2 – 2500.
1) Show that P(x) = 25(x-8)(x + 12).
2) Solve P(x) = 0.
3) MNPQ and QRST are two squares such that:
MN = 4(x + 2) and MR = (x + 2) (x > 0).
Let S be the area of MNPQ and S' the area of QRST.
a) Show that: S+S' = 25(x + 2)2
b) Calculate the value of x, if S + S' = 2500.
Answer:
i've inserted 3 pictures. make sure you see each one of them :)
Step-by-step explanation:
plssss help me it’s really important!!!
Answer:
B
Step-by-step explanation:
Since ∠ E = ∠ F then the triangle is isosceles and DF = DE, that is
6x = x + 2y ( subtract x from both sides )
5x = 2y ( subtract 2y from both sides )
5x - 2y = 0 → (1)
and perimeter = 29, that is
6x x + 2y + 5x - y = 29 , simplifying
12x + y = 29 → (2)
Multiply (2) by 2
24x + 2y = 58 → (3)
Add (1) and (3) term by term to eliminate y, that is
29x = 58 ( divide both sides by 29 )
x = 2
Substitute x = 2 into (2) and evaluate for y
12(2) + y = 29
24 + y = 29 ( subtract 24 from both sides )
y = 5
Thus
FE = 5x - y = 5(2) - 5 = 10 - 5 = 5 → B
Select an equivalent form of the problem below.
log5 25 - log5 100
Answer:
both are wrong
Step-by-step explanation:
The ratio of a number and 4 into a algebraic phrase
Answer:
x : 4
Step-by-step explanation:
The ratio of a number and 4 into algebraic phrase ;
Let the number = x
Expressing the number and 4 as a ratio in algebraic phrase will be written as :
Number : 4
x : 4
The table shows the participation in a school's debate club during the last four years.
Year
1
2
3
4
Students
14
19
25
33
Between which two years did the club see the greatest growth? By what percent did it grow?
Round to the nearest percent. Use the drop-down menus to show and explain your answer.
The greatest growth was between years
and
The growth between those years was about
Answer:
Greatest growth was between : year 3 and year 4
Percentage growth was about 32%
Step-by-step explanation:
Given the data:
Year : ______1 ____ 2 _____ 3 _______ 4
Students: __ 14 ___ 19 _____ 25 ______ 33
Number of students :
Year 1 & year 2 = 19 - 14 = 5
Year 2 & year 3 = 25 - 19 = 6
Year 3 & year 4 = 33 - 25 = 8
Hence,The two years at which the greatest growth was observed is between year 3 and year 4.
Percentage growth :
((33 - 25) / 25) * 100%
(8 / 25) * 100%
0.32 * 100%
= 32%
The graph of a system of equations will intersect at more than 1 point.
Always
Sometimes
Never
Answer:
sometimes
Step-by-step explanation:
Pls solve... will give brainliest... linear inequality
no need to fill name etc...
just answer questions
p(x-3)= -x³+cx²-4x+3
Answer:
p= −x^3−x^2c+4x−3/x−3
c= p/x− 3p/x^2 +x +4/x−3/x^2
Step-by-step explanation:
I hope this helps!!! I have no idea what you were trying to find so I put the value of p and c so I hope this helps you :)
Answer:
c=4
Step-by-step explanation:
Find the value of c so that the polynomial p(x) is divisible by (x−3)
p(x)=−x^3+cx^2 −4x+3
if p is p(3)=-(3)^3 +c(3)^2 -4(3) +3
simplify p(3)= -27+9c -12 +3
combine p(3)=-36+9c
get c alone -9c=-36
divide c=4
HELP ASAP
Solve for x: |x| -8 = -5
Is it
A X=-13 and x =-3
B X=3 and x=-3
C X=3 and x= 13
D No solution
Step-by-step explanation:
x-8=-5
x=-5+8
x=3
...I think the answer is no solution..
The table below represents a function. Write a number from the given values below to complete the table of values.
Answer:
Step-by-step explanation:
Find area of shaded region if
Theta = 60°
Radius (r = 5cm)
Answer:
≈ 13.1 cm²
Step-by-step explanation:
The area (A) of the sector is calculated as
A = area of circle × fraction of circle
= πr² × [tex]\frac{60}{360}[/tex]
= π × 5² × [tex]\frac{1}{6}[/tex]
= 25π ÷ 6
≈ 13.1 cm² ( to 1 dec. place )
Answer:
area = 13.1 cm²
Step-by-step explanation:
area of sector formulae:
[tex] \frac{theta}{360} \times \pi {r}^{2} [/tex]
theta = 60°
radius = 5 cm
π = 22/7
substitute the values into the formulae
[tex] \frac{60}{360} \times \frac{22}{7} \times {5}^{2} [/tex]
[tex] \frac{1}{6} \times \frac{22}{7} \times 25[/tex]
[tex] \frac{1}{6} \times \frac{25 \times 22}{7} [/tex]
[tex] \frac{1}{6} \times \frac{550}{7} [/tex]
[tex] \frac{550 \times 1}{6 \times 7} [/tex]
[tex] \frac{550}{42} [/tex]
[tex]13.1 \: cm {}^{2} [/tex]
please solve this...question..it may come in my exam.#math problem fast solve it and help me
Answer:
n + y
Step-by-step explanation:
a² - b² = (a +b)(a - b)
[tex]\frac{n^{2}-y^{2}}{n+y}[/tex] ÷ [tex]\frac{n - y }{n + y } = \frac{(n + y)(n - y)}{(n + y)}*\frac{(n + y)}{(n - y)}\\\\[/tex]
{ (n + y) in the denominator and numerator will be cancelled ;
(n - y) in the denominator and numerator will be cancelled
= n + y
the ship left port x at 22 45 on friday and arrived at port y at 7 1/4 hours later. at what time and day did the ship arrive at port y?
Answer:
The ship arrived at 5 am on Saturday
Step-by-step explanation:
Here, we want to know at what time and day the ship arrive the second port
we simply need to add the time it left the first port and the amount of time the journey took
Mathematically, that will be;
22:45 + 7 1/4
1/4 is same as 60/4 = 15 minutes
So we have;
22:45 + 7:15
= 5 am on Saturday
Heart, 5 stars, and Brainliest if Correct!
Which method of heat transfer can take place without matter?
Answer:
is conduction the correct answer?
can someone please help me
solve the system by substitution
2x=y
5x+5y=-15
(?,?)
Answer:
(-1,-2)
Step-by-step explanation:
hope this helps .
Use the graph of f to estimate the local maximum and local minimum.
Local maximum: ∞ local minima: (-2,-4) and (2, -4)
Local maximum: (0,0); local minimum: (-2,-4)
No local maximum; local minimum: (2,-4)
Local maximum: (0,0); local minima: (-2,-4) and (2, -4)
Answer:
Option (4)
Step-by-step explanation:
From the graph attached,
A, B and C are the points based at the heights and valleys of the given curve.
y-coordinates of these points always decide, whether the point is a local maxima or local minima.
y-coordinate of A → -4
y-coordinate of B → 0
y-coordinate of C → -4
Ends of the curve are moving towards infinity, so the absolute maximum is not defined.
Local minimum → -4
Local maximum → 0
Therefore, point representing local maximum is B(0, 0).
Points representing local minimum are A(-2, -4) and C(2, -4).
Option (4) will be the correct option.
Which ordered pairs are solutions to the inequality 2x - y > -4? Check all that apply.
Answer:
(1,-6)
(-2,-5)
(8,2)
(4,0)
What is the approximate perimeter of △DEF?
75.2 cm
161.1 cm
182.5 cm
1028.5 cm
A right triangle labeled D E F with side D F labeled eighty centimeters. angle D labeled seventy degrees, and angle E a right angle
Answer:
C) 182.5
Step-by-step explanation:
i just took the test
I don’t understand so please HELPPPPPPPPPPP
Answer:
The missing angle is 50 and x=6
Step-by-step explanation:
So if all three angles of a triangle add up to 180 degrees, you would simply subtract 180-70-60 to find the missing angle, and from there you put in the equation 8x+2=50, you would do a step by step process get the x by itself on one side. first subtract 2 from both sides to remove it from one, making the equation 8x=48 and than divide both sides by 8 to remove it from the x making the answer x=6. :3
Answer:
x=6
Step-by-step explanation:
Ok so to do this you need to know if you add up all the sides of a triangle [This is for triangles] you get 180 every time.
So you already have two given angels. 70 and 60.
Lets make it an equation.
70+60+8x+2=180
It looks long and hard but we can simplify this if we go ahead and add up all the common factors. In this case would be all the numbers with no variables.
132+8x=180
You don't add the 180 because its on the opposite side of the equation.
Now you need to get the variable alone. To do that you need to do the opposite operation. In this case, that would be subtraction
132(-132)+8x=180(-132)
8x=48
Divide the 8.
x=6
8(6)+2=50
Select all equations that are true. A. 9 . 21 × 10 3 = 921 B. 9 . 21 × 10 1 = 92 . 1 C. 0 . 921 × 100 = 921 D. 0 . 921 × 10 4 = 9 , 210 E. 0 . 0921 × 10 2 = 9 . 21
Answer:
Option BOption DOption EStep-by-step explanation:
Option A
9.21 * 10³ = 9,210 ≠ 921
Option A is FALSE.
Option B
9.21 * 10¹ = 92.1
Option B is TRUE.
Option C
0.921 * 100 = 92.1 ≠ 921
Option C is FALSE
Option D
0.921 * 10⁴ = 9,210
Option D is TRUE
Option E
0.0921 * 10² = 9.21
Option E is TRUE
HELP FAST PLEASE!!!
50 POINTS FOR WHOEVER ANSWERS FIRST!!!
What is the exponent in the expression 76?
a.6
b.7
c.13
d.42
Step-by-step explanation:
If you mean 7⁶, the exponent is 6. (A)
When written as a^m, a is a number and m is the exponent.
There are 1920 fence posts used in a 12 kilometer stretch of fence. How many fence posts are used in each kilometer of fence?
Answer:
160 fence posts per kilometer
Step-by-step explanation:
1920/12= 160
C to the power of 5 x c
Answer:
c to the power of 5 x c = c⁶
Step-by-step explanation:
We need to find the expression for c to the power of 5 x c.
c to power 5 is : c⁵
Now, multiply c⁵ and c.
c⁵ × c = c⁵⁺¹
= c⁶
So, the final expression is c⁶. Hence, this is the required solution.
Answer:
Step-by-step explanation:
c to the power of 6
Given that lines q and r are parallel lines, and m 23 = 123°, find
other angle measures:
Step-by-step explanation:
even though it is not the only thing that has to do with it all in