According to the question,
r = 10 cmh = 35 cm[tex]\frac{dr}{dt} = -2 \ cm/s[/tex]As we know the formula,
[tex]V = \pi r^2 h[/tex]then,
→ [tex]\frac{dv}{dt} = \pi [2r\frac{dr}{dt} h+ r^2 \frac{dh}{dt} ][/tex]
→ [tex]0 = \pi [2 \pi h\frac{dr}{dt} + r^2 \frac{dh}{dt} ][/tex]
By substituting the given values,
→ [tex]0 = 2\times 10\times 35\times (-2)+(10)^2\times \frac{dh}{dt}[/tex]
[tex]\frac{dh}{dt} = \frac{2\times 10\times 35\times 2}{10\times 10}[/tex]
[tex]\frac{dh}{dt} = \frac{140}{10}[/tex]
[tex]\frac{dh}{dt} = 4 \ cm/s[/tex]
Thus the answer above is right.
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A recipe for whole wheat pizza crust calls for 1 1/2 cups of all purpose flour. Jeremy has 5 7/4 cups of all purpose flour. If he makes the recipe, how much flour will he have left?
Answer:
Jeremy has 5 1/4 cups of all purpose flour after preparing his recipe.
Step-by-step explanation:
Since the recipe for whole wheat pizza crust calls for 1 1/2 cups of all purpose flour, 1.5 cups of that product is required to create the meal in question.
Now, since Jeremy has 5 7/4 of all purpose flour, it can be stated that he has 6.75 cups of it (7/4 = 1.75).
Therefore, to determine the amount of flour that Jeremy will have left over after preparing the recipe, it is necessary to perform the following calculation:
6.75 - 1.5 = X
5.25 = X
So since 0.25 is equal to 1/4, Jeremy has 5 1/4 cups of all purpose flour after preparing his recipe.
Kim made $5.35 on the first day
she set up her lemonade stand. If
she makes the same amount each
day for 6 days, how much money
will she have? (6-5)
A $42.80
B $37.30
C $32.10
D $28.70
Answer:
$32.10
Step-by-step explanation:
do 5.35 but six times and then add that all up then it will be 32.10
Answer:
C
Step-by-step explanation:
its c because 5.35 times 6 is C
Noah bought b burritos and paid c dollars. Lin bought twice as many burritos as Noah and paid twice the cost he did.
How do Noah's and Lin's orders compare?
A) They ordered the same number of burritos.
B) Noah ordered more burritos.
C) Lin ordered more burritos.
D) You don't know anything because there are no numbers, just letters.
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
13, 11, 9, 7 what is the recursive rule
Answer:
it is -2
Step-by-step explanation:
because 13-2=11-2=9-2=7-2=5-2=3-2=1
in which quadrant is the solution to this system of equations? 2x + 5y = 1
3x - 4y = 13
Answer: Quadrant IV
Step-by-step explanation: Pic attached.
I found the x and y using substitution (isolating one variable and plugging it into the other). There was probably an easier way but I couldn't think of it at that moment.
From there, you have the point ( 133/36 , -23/18), or a (+, -).
Find Which quadrant has positive x and negative y.
In this case, this would be Quadrant IV or 4.
Hope this helps! Sorry if too complicated lol.
What is between tenths on a number line?
Answer:
One twentieths (if you're asking for numbers smack dab between two tenths numbers) or anything with a denominator above or equal to eleven (if you're just talking about any number between two tenths numbers.
Step-by-step explanation:
Hope this helped!
Could u help me with this I got stuck and I don’t know how to finish
Answer:
10
Step-by-step explanation:
The IQR is the width of the box of the box plot. The box runs from 20 to 30, so its width is 10.
Answer:
I think it is either a or d but i am probably wrong i wanted to help you but i dont know if i will get that right or not
Step-by-step explanation:
What is the slope of the line that is paralell to the line y=3/4 x +2
Answer:
m (parallel) = 3 /4
Step-by-step explanation:
on the graph Y will start on two
What is the answer
A.
B.
C.
D.
Answer:
B.
Step-by-step explanation:
The opposite of 5/2 is -5/2 which is -2 1/2 and the opposite of -1/2 is 1/2.
Which expression below does not represent 343?
7³
7 · 7 · 7
7(49)
9 · 9 · 9
Answer:
9x9x9 because if you multiply themyou get 729
Step-by-step explanation:
Describe a situation that could be modeled with the ratio 3: 1.
Answer:
three boys to 1 girl
Step-by-step explanation:
a
Solve for the variable.
5t - 3 = 3t + 9
F
t = 6
0
t = 9
H
t = 3
J
t = 8
5t-3=3t+9
5t-3-3t=3t+9-3t
2t-3=9
2t-3+3=9+3
2t=12
2t/2 =12/2
t=6
Carl bought an airline ticket. Two weeks ago, the cost of this
flight was $900. What is the percent increase?
HELPP
Answer:
hey can you give us the buying price of the ticket so we can find the increase? thanks :)
Step-by-step explanation:
Can you someone help me
(6,8) is the answer also this could be the answer too (6,2)
hope this helps
Which diagram represents the hypothesis of the converse of corresponding angles theorem?
Parallel lines m and n are cut by a transversal. The angles at the top right of both intersections are congruent.
Parallel lines p and q are cut by a transversal. The angles at the top left of the intersection with the first line and the bottom right of the intersection with the second line are congruent.
Parallel lines x and y are cut by a transversal. The angles at the bottom left of the intersection with the first line and the top right of the intersection with the second line are congruent.
Answer:
A
Step-by-step explanation:
Got it right on edge
Answer:
A
Step-by-step explanation:
Got it right
9. Evan's dog weighs 4 pounds. What is the weight of Evan's dog in ounces?
Evan's dog weighs 64 ounces
PLEASE HELP! I HAVE TWO QUESTIONS AND WILL GIVE 100PTS AND BRAINLIEST IF CORRECT!
1. A spool of ribbon holds 6.75 meters. A craft club buys 21 spools. What is the total cost if the ribbon sells for $2 per meter?
2. A spool of ribbon holds 6.75 meters. If the club uses 76.54 meters to complete a project, how much ribbon will be left
Answer:
1) $283.50
2) 65.21 meters.
Step-by-step explanation:
Part 1)
We know that a spool of ribbon holds 6.75 meters.
A craft club buys 21 spools.
So, the total length of ribbon bought is:
[tex]T=21(6.75)=141.75\text{ meters}[/tex]
Each meter costs $2. So, the total cost will be:
[tex]141.75(2)=\$ 283.50[/tex]
Part 2)
A spool holds 6.75 meters.
We bought 21 of them, so that total length we have is 141.75 meters.
The club used 76.54 meters.
So, the amount of ribbon that is left is represented by:
[tex]141.75-76.54[/tex]
Subtract:
[tex]=65.21\text{ meters}[/tex]
So, 65.21 meters of ribbon will be left.
Answer:
1. $283.5
2. 11
Step-by-step explanation:
1. 6.75*21 = 141.75
= 141.75 * 2
= 283.5
You deposit $2000 in an account earning 7% interest compounded continuously. How much will you have in
the account in 15 years?
Answer:
$3,715.30
Step-by-step explanation:
Total P+I (A): $3,715.30
Principal (P): $2,000
Compound (n): Continuously
Time (t in years): 15 years
By plugging this into an interest rate calculator, the amount settles to be approximently $3,715.30
Hope this helps!
Solve for x: (5 points)
E)
(-4/3)x-6=-26
A:27
B:-27
C:15
D:-15
Find the unit rate in decimal representation $150 for 22 ft.²
Answer:
$6.82 per foot
Step-by-step explanation:
To find the unit rate, divide.
150 / 22 ≈ 6.82
Best of Luck!
Fine the distance between (-8, 4) and (-8, -2)
Answer:
The distance between the two points is six units.
Step-by-step explanation:
We are given two coordinate pairs:
(-8, 4)(-8, -2)With these, we can find the distance between the two using the distance formula. The distance formula is:
[tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}, \ \text{where d is the distance.}[/tex]
Additionally, we need to label our coordinates. In math, coordinates are labeled as (x₁, y₁) and (x₂, y₂).
Therefore, our coordinate pairs can be labeled in this format.
(-8, 4)
x₁ = -8y₁ = 4(-8, -2)
x₂ = -8y₂ = -2Now, we can substitute these values into the formula and solve for d.
[tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d = \sqrt{(-8 - -8)^2 + (-2 - 4)^2}\\\\d = \sqrt{(0)^2+(-6)^2}\\\\d = \sqrt{0 + 36}\\\\d = \sqrt{36}\\\\d = 6[/tex]
Therefore, the distance between the two points is six units.
Simplify:w^30/(w^3)^2
Answer:
Step-by-step explanation:
[tex](a^{m})^{n} = a^{m*n}\\\\\frac{a^{m}}{a^{n}}=a^{m-n}\\\\\\\frac{w^{30}}{(w^{3})^{2}} = \frac{w^{30}}{w^{3*2}}[/tex]
[tex]= \frac{w^{30}}{w^{6}}\\\\=w^{30-6}\\\\= w^{24}[/tex]
Answer:
w^24
You would simplify the expression by first finding the product of (w^3)^2 which is w^6. Next you would divide w^30 and w^6 which would get you your answer which is w^24. Hope this helps!
Given f(x) = - 3x + 1 , solve for a when f(x) = - 5 .
Answer:
x=2
Step-by-step explanation:
-5=-3x+1
-1 -1
-6=-3x
divide both sides by -3
x=2
The value of x when f(x) = - 5, In the function f(x) = - 3x + 1 is 2.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, A function f(x) = - 3x + 1.
Now, when f(x) = - 5 the equation would be,
- 5 = - 3x + 1.
- 5 - 1 = - 3x.
- 6 = - 3x.
3x = 6.
x = 2.
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A packing machine can pack 2,500 boxes in 5 hours. At what rate does the machine work?
(HELP TAKING A TEST)
Answer:
500 boxes an hour?
Step-by-step explanation:
Answer:
The machine can pack 500 boxes in one hour
You can add +500 in case for more hours
Step-by-step explanation:
2,500 divided by 5 is 500.
Write 171 miles in 3 hours as a unit rate
Answer:
The answer as a unit rate would be 57.
Step-by-step explanation:
57 is correct because to find the unit rate do 171 divided by 3 to equal 57 which is the unit rate.
Hope it helps, have a good day!
if cade shoots 359 free throws shoot in 4 hours, how many can he shoot in 6 hours
A music store sold 10 to the third power CDs and 10 to the second power cd players if each CD cost $12 in each CD player cost 35 what was the stores total earnings
Answer:
$15500
Step-by-step explanation:
10^3 x 12 = 12,000
10^2 x 35 = 3,500
12,000 + 3,500 = 15,500
Use substitution to solve the system of equations. How many solutions are there? 1/2x − 1/3y = 5 x = 2/3y + 10
Answer:
2 solutions cuz
2 variable are there
39. State the equation for the line described below.
40. State the equation of the line that passes through the points (–7, 5) and (–12, 4).
Picture is attached
Answer:
Step-by-step explanation:
39). y = [tex]-\frac{7}{8}[/tex] x + 3
40). m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )
(- 7, 5)
( - 12, 4)
m = ( 4 - 5 ) / ( - 12 + 7) = 1/5
y - 5 = (1/5)(x + 7) ⇒ y = [tex]\frac{1}{5}[/tex] x + 6.4
whoever answers correctly gets brainliest
im just answering for free points
Step-by-step explanation: