Answer: 1.25
Step-by-step explanation: 5 / 4 = 1.25
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!
Point G has coordinates (-4,7) and point H has coordinates (3,0)
Answer:
there is no answer to that
Step-by-step explanation:
what do you mean by that.
Amy can ride her bike 4 miles in 30 minutes. At her current rate, what is the difference, in miles, Amy can ride her bike in 12 minutes?
Given A(0.2), B(5,5), and C(7, 2). Reflect AABC over the x-axis.
Give the coordinates of the vertices of the image.
A) A'(0.2) B(-5,5) C'(-7, 2)
B) A'(-2, ) B'(-5.5) C'(-2,7)
C) A'(0, -2) B'(5,-5) C'(7,-2)
D) A (2.0) B*(5,5) C'(2.7)
E) NOTA
slope = -5, y - intercept = 1
I need to write this in slope intercept form
Answer:
y=-5x+1
Step-by-step explanation:
Slope intercept form is y=mx+b
m is the slope
b is the y-intercept
Plug the slope and intercept you were given in and you get the equation of the line in slope intercept form
y=-5x+1
type the equation of a line that has the following properties.
contains the points (-3,5) and (-1,6)
Answer:
y=1/2x + 13/2
Please help my last point and I’m confused show your work please
Answer:
A, C, F
Step-by-step explanation:
A = C
75 = 75 because X = 16
180 - 75 so D and B is 105
Naomi is a sales person. She sold a calculator for $86 and earned 20% commission. How much commission did Naomi earn?
Answer:
$17.20
Step-by-step explanation:
Total commission = cost x percent commission rate
86 x 20 % = 17.20
Total commission = $17.20
PLEASE HELP ITS DUE TODAYYYYYY
Answer:
80 degrees
Step-by-step explanation:
If ab and cd are congruent what is the measure of
Answer:
25°
Step-by-step explanation:
the arcs are congruent, and the radii are the same length, as it would be from any other point in a circle. this means that the angle must be the same.
D is 12.5% if you were wondering I really need help
Answer:
b 15% light green is the correct answer
Answer:
D - 12.5%
Step-by-step explanation:
Please mark me brainliest
A pudding recipe for 50 people calls for 4 cups of suger. Each bag contains 6 cups of suger how many bags of suger will be needed to make this recipe for 300 people?
Answer:
4 bags
Step-by-step explanation:
50 people = 4 cups
300 people = 24 cups
24 cups ÷ 6 cups a bag = 4 bags
The bags of sugar that will be needed to make this recipe for 300 people will be 4 bags.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
A pudding recipe for 50 people calls for 4 cups of sugar. The ratio of the number of cups of sugar to the number of people. Then we have
Rate = 4 / 50
Rate = 2 / 25 cups per person
If the number of people is 300. Then the number of cups of sugar will be given as,
⇒ (2/25) x 300
⇒ 24 cups
The number of bags of sugar is given as,
⇒ 24 / 6
⇒ 4 bag
The sacks of sugar that will be expected to make this recipe for 300 individuals will be 4 packs.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ2
HELP ASAP (6 + 9m) + (- 4y - 5) + (7m + 6y)
Answer:
Simplify the expression
16m+2y+1
The area of a rectangle is 226.2 m2. If the length is 15m, what's the perimeter of the rectangle ?
Answer: P=60.16m
Step-by-step explanation:
Given f(x)=5/2x+7,if f(x)=-13 find x
pls show work
Answer:
x=-25.5
Step-by-step explanation:
5/2(-13) +7=-25.5
Answer:
The value of x = -1/8
Step-by-step explanation:
Given
[tex]f\left(x\right)=\frac{5}{2x}+7[/tex]
[tex]f(x)=-13[/tex]
To determine
The value of x = ?
Using the function
[tex]f\left(x\right)=\frac{5}{2x}+7[/tex]
substituting f(x) = -13 in the function
[tex]-13=\frac{5}{2x}+7[/tex]
Subtract 7 from both sides
[tex]-13-7=\frac{5}{2x}+7-7[/tex]
Simplify
[tex]-20=\frac{5}{2x}[/tex]
Multiply both sides by 2x
[tex]-20\cdot \:2x=\frac{5}{2x}\cdot \:2x[/tex]
Simplify
[tex]-40x=5[/tex]
Divide both sides by -40
[tex]\frac{-40x}{-40}=\frac{5}{-40}[/tex]
[tex]x=-\frac{1}{8}[/tex]
Therefore, the value of x = -1/8
Find the length of the third side to the nearest tenth
7
1
Answer:
10.7
Step-by-step explanation:
derivative by first principle logsecx²
Answer:
[tex]\displaystyle \frac{d}{dx}[\log \big( \sec (x^2) \big)] = \frac{2x \tan x^2}{\ln 10}[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationBasic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle y = \log \big( \sec (x^2) \big)[/tex]
Step 2: Differentiate
Logarithmic Differentiation [Derivative Rule - Chain Rule]: [tex]\displaystyle y' = \frac{(\sec x^2)'}{\ln (10) \sec x^2}[/tex]Trigonometric Differentiation [Derivative Rule - Chain Rule]: [tex]\displaystyle y' = \frac{\sec x^2 \tan x^2 (x^2)'}{\ln (10) \sec x^2}[/tex]Simplify: [tex]\displaystyle y' = \frac{\tan x^2 (x^2)'}{\ln 10}[/tex]Basic Power Rule: [tex]\displaystyle y' = \frac{2x \tan x^2}{\ln 10}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
brainly Some students were measuring the volume of a cube shaped wooden block. They measured the length to be 5.08 cm, the width to be 5.09 cm, and the height to be 5.10 cm. The actual volume of the block was 15.3 cm3. What was their percent error
Answer:
762%
Step-by-step explanation:
Volume of a cube = s³
Volume of the cube is then
V = 5.08 * 5.09 * 5.1
V = 131.87 cm³
Percentage errors are calculated by the formula
%E = (V.a - V.e)/V.e * 100%, where
%E = percentage error
V.a = actual volume
V.e = expected volume
%E = (131.87 - 15.3) / 15.3 * 100%
%E = 116.57 / 15.3 * 100%
%E = 7.62 * 100%
%E = 762%
Therefore, the percentage error is a whooping 762% which is a whole lot!
What expression is equal to -8(4y)
Answer:
32y
Step-by-step explanation:
take off the y then do the equation -8×4=32 then put the y back on an theres your answer
Kylie use the number 400 represent a location 400 miles north of the equator.She uses the number -2,000 to represent a location 2,000 miles south of the equator.Which number would represent a location on the equator?
Answer:
0 would represent on equator
A 16 ft tall adult giraffe standing next to a
baby giraffe casts a 8 ft shadow. If the
baby giraffe is 6 ft tall, then how long is
its shadow?
Answer:
The shadow is 3 ft tall
Step-by-step explanation:
The older giraffe is 16 ft tall and 8 is half of 16 and 8ft is the length of the shadow so that means that half of the small girafe would be 3ft because half of 6 is 3.
Sorry if its not correct
what is the value of x?
Answer:
it is 10
Step-by-step
this is the question
Hey there!
The answers to your question are C, D, and E
If there are repeats in the X column, then it's not a function. If there are no repeats, then it is! If there are repeats in the Y column, that's ok, but there cannot be repeats in the X column.
Hope this helps! If you need any other help, just tell me!
Jamal buys 33 bolts that cost $0.38 each.
Part A
Which equation represents the best estimate for the total cost of all of the bolts?
Answer: Jamal buys 33 bolts that cost $0.38 each.
Which equation represents the best estimate for the total cost of all of the bolts?
$0.40 × 30 = $12
Step-by-step explanation: $0.40 × 30 = $12 searched it up
$12.54
Step-by-step explanation:
because 33×0.38= $12.54
You are given a line with a slope of 4 and a point on the line of (-1, 3). Write
the equation in point slope form, then slope-intercept form.
Answer:
Point-slope form: [tex]y-3 = 4(x+1)[/tex]
Slope-intercept form: [tex]y=4x+7[/tex]
A. 5°
B. 35°
C. 31°
D. 7°
Answer:
(2x +30) and (3x -5) (they're opposite to eachother, so they're equal)
2x + 30 = 3x - 5 (set them equal to eachother, then subtract 3x from both side)
-1x = -35 (divide both sides by -1 to isolate x)
x = 35 or B (this is your answer)
Step-by-step explanation:
I hope this helps :))
The popular online game "Among Us" costs $5.00 to install the game on a computer. Players can pay
$2.00 per item to customize their characters in the game
Write an equation about the situation using the
variables x and
Check
please helpp
Which is the smallest?
(a) -1,
(b) -1/2,
(c) 0,
(d) 3.
Answer:
i think the answer is -1/2 tho hopefully it is
Answer:
The smallest is -1
Step-by-step explanation:
-1 is the smallest because all the others are greater.
Lets say -1 and -3
-3 is the smallest because when you have negatives the number closer to zero in the negative side will always be bigger than a negative number farther from zero.
what does the y equal in the system of equations y= 2x-7 and 5x+2=4
Answer:
y = -31/5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = 2x - 7
5x + 2 = 4
Step 2: Solve for x
Define equation: 5x + 2 = 4Subtract 2 on both sides; 5x = 2Divide 5 on both sides: x = 2/5Step 3: Solve for y
Define equation: y = 2x - 7Substitute in x: y = 2(2/5) - 7Multiply: y = 4/5 - 7Subtract: y = -31/5ayooo can somebody help me with my sister's homework?
Answer:
D. y = 1/2x + 3
Step-by-step explanation:
y = mx + b
m = slope
b = the y-intercept
To find the slope we can do rise over run or y/x
r/r = 1/2
The slope is 1/2
To find the y-intercept, is where the line hits the y axis which is at.....
3
So...
y = 1/2x + 3
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Answer:
D
Step-by-step explanation:
the answer is D because the line starts and three and rises 1 and over 2. its not negative because the line goes up