Answer:
D
Step-by-step explanation:
Answer:
A=πr²
3.14×5²
3.14×25
=78.5cm²
Given m ||n, find the value of x.
+
(2x-16)
(4X+4)
Answer: 6x - 12
Step-by-step explanation:
(2x - 16) + (4x + 4)
2x + 4x = 6x
-16 + 4 = -12
1. Sand falling from a chute forms a conical pile whose altitude is always equal to 4/3 the radius of the base. (a) How fast is the volume increasing when the radius of the base is 3 ft and is increasing at a rate of 3 in/min
Answer:
The volume is increasing at a rate of 16286 in³/min.
Step-by-step explanation:
a) The volume of a cone is given by:
[tex] V = \frac{1}{3}h\pi r^{2} [/tex]
Where:
r: is the radius
h: is the height
The rate of change of the volume can be calculated by using the chain rule:
[tex] \frac{dV}{dt} = \frac{\pi}{3}[\frac{dh}{dt}r^{2} + h\frac{d(r^{2})}{dt}] [/tex]
Since h = 4/3 r we have:
[tex] \frac{dV}{dt} = \frac{\pi}{3}[\frac{d(\frac{4r}{3})}{dt}r^{2} + \frac{4r}{3}\frac{d(r^{2})}{dt}] [/tex]
[tex] \frac{dV}{dt} = \frac{4\pi}{9}[\frac{dr}{dt}r^{2} + r\frac{d(r^{2})}{dt}] [/tex]
[tex] \frac{dV}{dt} = \frac{4\pi}{9}[\frac{dr}{dt}r^{2} + 2r^{2}\frac{dr}{dt}] [/tex] (1)
With:
[tex]\frac{dr}{dt}[/tex] = 3 in/min
[tex]r = 3 ft*\frac{12 in}{1 ft} = 36 in[/tex]
And by entering the above values into equation (1) we have:
[tex] \frac{dV}{dt} = \frac{4\pi}{9}[(3 in/min)*(36 in)^{2} + 2*(36 in)^{2}*3 in/min] [/tex]
[tex]\frac{dV}{dt} = 16286 in^{3}/min[/tex]
Therefore, the volume is increasing at a rate of 16286 in³/min.
I hope it helps you!
is lebron james black
Answer:
yes he is a african american
Step-by-step explanation:
Suppose that $6500 is placed in an account that pays 17% interest compounded each year. Assume that no withdrawals are made from the account.
Answer: $7,605
Step-by-step explanation:
At the end of 1 years, the amount in the account will be:
= Principal * (1 + rate)^ no. of periods
= 6,500 * (1 + 17%)
= $7,605
Solve the equation using the Distributive Property:
3(x+8) =
3x + 24 =
3x =
9x =
Answer: 3x=-24
9x is 3(3x)= 3(-24)
9x=-72
X=-8
Step-by-step explanation:
Which letter has line symmetry?
Q
P
L
J
M?
Answer:
M
Step-by-step explanation:
because it is equal on either side if you cut a line down the middle of the letter
which fraction is equivalent to 70/100
Answer:
710
Step-by-step explanation:
The ratio of number of boys to girls in a classroom is 6 to 5. If there are a total
of 48 boys, find the number of girls in the classroom.
Answer:
40 girls
Step-by-step explanation:
To get the number of girl students, we first do 48 divided by 6 to get 8. Then we do 8 x 5 to get 40.
Simplify 11 - [ 4 + 2 • 3 ]
Answer:
Step-by-step explanation:
remember PEMDAS
11-(4+6)=11-10=1
EL
2. Robyn and Rachel bought a set of CDs for £20. Robyn paid £11
and Rachel £9. What percentage of the total cost did each pay?
Answer:
jjee
Step-by-step explanation:
What is 20 increased by 50%
Answer:
30.00
Step-by-step explanation:
20 Increased By 50% Is 30.00
Answer:
30
Step-by-step explanation:
20 divided by 2 = 10 + 20 = 30
Figure 1 and 2 are similar. Based on what you know about side AC’ what would the length of AB be?
Answer:
12 because that's the only logical answer.
Simplify (2^3)^-2
-1/64
1/64
2
64
Answer:
1/64
Step-by-step explanation:
Answer:
B edge 2022
Step-by-step explanation:
If -xy – 5+ y^2+ x^2= 0 and it is known that dy/dx= y-2x/-x+2y, find all
coordinate points on the curve where x = -1 and the line tangent to the
curve is horizontal, or state that no such points exist.
Answer:
There is no point of the form (-1, y) on the curve where the tangent is horizontal
Step-by-step explanation:
Notice that when x = - 1. then dy/dx becomes:
dy/dx= (y+2) / (2y+1)
therefore, to request that the tangent is horizontal we ask for the y values that make dy/dx equal to ZERO:
0 = ( y + 2) / (2 y + 1)
And we obtain y = -2 as the answer.
But if we try the point (-1, -2) in the original equation, we find that it DOESN'T belong to the curve because it doesn't satisfy the equation as shown below:
(-1)^2 + (-2)^2 - (-1)*(-2) - 5 = 1 + 4 + 2 - 5 = 2 (instead of zero)
Then, we conclude that there is no horizontal tangent to the curve for x = -1.
The length of a rectangle is four more than its width. If the area of the rectangle is 12, find the length of the rectangle.
Answer:
I don’t know but I have the same question with different numbers
Step-by-step explanation:
help plz answer the question plzzz
POLS HELP ME NOWWWW I DONT UNDERSTAND IT
Answer:
B
Step-by-step explanation:
using the equation 'y = 12x', if you plug in zero for 'x' you get zero for 'y'; the only graph that has the point (0, 0) is (b)
also, the x-axis represents time so, as time increases, so does the number of calories burned (which is measured on the y-axis) -- not staying flat or decreasing
PLEASE PLEASE HELP!!!
Answer:
x = 8
Step-by-step explanation:
small triangle is similar to larger one
set up a proportion: 9 = x + 4
9+12 x+4+2x
9 = x+ 4 cross-multiply: 9(3x + 4) = 21(x + 4)
21 3x + 4 27x + 36 = 21x + 84
6x + 36 = 84
6x = 48
x = 8
3. Find the perimeter of the diagram. Round to the nearest
hundredth.
the answer is 16.77
fdmlksafndslakgfnlksdaajglsdanlkfsdalkfsad
Based on this triangle, which one of the following statements is true? (Note: the triangle is not drawn to scale)
[PLEASE LEAVE A SMALL EXPLANATION ILL MARK BRAINLIEST]
Answer:
A
Step-by-step explanation:
All triangles angles add up to 180°
im dum but please help me
Answer:
336
Step-by-step explanation:
area = 1/2 * (a + b) * h
1.4(4.4x2.3) how do I distribute this
Answer:
14.168
Step-by-step explanation:
4.4 times 2.3= 10.12
1.4(10.12) = 14.168
A right triangle has side lengths of 3cm, 4cm, and 5cm. What is the sine of the angle opposite the side of length 4cm
In a right triangle, the sine of the angle opposite the side of length 4 cm is 0.8 cm.
In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse.
The angle opposite the side of length 4 cm can be calculated as:
The hypotenuse is the side of length 5 cm.
The calculation of the sine of the angle can be calculated using the formula:
[tex]Sine = \dfrac{Opposite}{hypotenuse}[/tex]
Substitute the value in the given formula.
[tex]Sine(A) = \dfrac{4}{5}[/tex]
Sine(A) = 0.8
So, the sine of the angle opposite the side of length 4 cm is 0.8 cm.
Learn more about hypotenuse here:
https://brainly.com/question/29407794
#SPJ12
85 percent of what is 64.6?
Answer:
54.91 i think!!
Step-by-step explanation:
What is 9.25% tax of $27.26?
Answer:
$29.78
Step-by-step explanation:
1. make the % into a decimal
9.25% = 0.0925
2. multiply amount by the decimal to get the tax amount
$27.26 × 0.095 = $2.52
3. take the original amount and add the tax to get your final total
$26.27 + $2.52 = $29.78
I really need help ASAP
Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that n begins with 1.) 1 2 , 1 4 , 1 6 , 1 8 , 1 10 , ...
Answer:
1•2n
Step-by-step explanation:
Given the sequence if numbers
1 2 , 1 4 , 1 6 , 1 8 , 1 10 , ...
You will see that 1 is common to all the numbers, the other part of the sequence are in arithmetic progression and they are
2,4,6,8,10...
The nth term of an AP is expressed as
Tn = a+(n-1)d
a is the first term
n is the number of terms
d is the common difference
a = 2
d = 4-2 = 6-4 = 8-6 = 2
Substitute into the formula
Tn = 2+(n-1)2
Tn = 2+2n-2
Tn = 2-2+2n
Tn = 2n
Hence the nth term of the sequence is 1•2n
50 POINTS
explain the meaning of the following points
(1,2)
(9,18)
Answer:
(1,2) 1 represents how many days and 2 represents how many mm tall
(9.18) 9 represents how many days and 18 represents how many mm tall
Step-by-step explanation:
Answer:
(1,2) in one day, the plant was 2 mm tall.
(9,18) in nine days, the plant was 18 mm tall.
Step-by-step explanation:
(1,2) in one day, the plant was 2 mm tall.
(9,18) in nine days, the plant was 18 mm tall.
If this helps please mark as brainliest
I need help if you help I’ll give you extra points!!!!!!!
Answer:
a=66m b=4.58cm
Step-by-step explanation:
a=5610 divided by 85=66 so 66m ×85 m =5610 meters squared
b=330cm ÷ 72 cm is 4.58. So 72×4.58=329.76 so rounded =330
The ratio of three numbers is 4:5:3. The sum of the numbers is 72. What is the smallest value in the ratio of 3 numbers? What is the largest number?
i need help (,:
Answer:
Smallest number is 18. Largest number is 30.
Step-by-step explanation:
a:b:c = 4:5:3
∃x such that a = 4x, b = 5x, c = 3x
"sum of the numbers is 72"
a+b+c = 4x+5x+3x = 72
x = 6
a = 4x = 24
b = 5x = 30
c = 3x = 18