74/5 milliliters of sand accumulate in the bag from time t=0 to time t=2.
Given that:
The rate at which sand is poured is r(t)
The function r(t) is defined as;
r(t) = 15t -[tex]2t^2[/tex]
The accumulation in the bag from time t=0 to time t=2 is calculated as:
r = [tex]\int_0^2 ( 15t -2t^2) dt[/tex]
Using the limits:
=[tex][\dfrac{15t^2}{2} - \dfrac{2t^3}{3}]_0^2[/tex]
=[tex]\dfrac{15(2) ^2}{2} - \dfrac{2(2)^3}{3} - (0-0)[/tex]
[tex]30 - \dfrac{16}{3}[/tex]
= [tex]\dfrac{74}{3}[/tex]
Thus, [tex]\dfrac{74}{3}[/tex] milliliters of sand accumulate in the bag from time t=0 to time t=2.
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What is the best approximation of a 15% tip on a $38 car wash?
Answer:The tip is 5.70 and the whole price is 43.70
Step-by-step explanation:those are exact
strip down please now and post it
Step-by-step explanation:
lol
A function is graphed
In which entire interval is the function increasing?
A. 0 to 5
B. 1 to 3
C. 2 to 5
D. 4 to 6
HELP! QUESTION IS ATTACHED BELOW.
Answer:
x² + y² = 16Step-by-step explanation:
The radius of the smallest circle is 2 as per the given equation.
The radius of the second circle is 2√2 as the half-diagonal of the square with side of 2.
The radius of the largest circle is 2√2*√2 = 2*2 = 4 units (same logic as above)
The equation for the largest circle is:
x² + y² = 4² ⇒ x² + y² = 16Anybody know ? Need help
Answer:
it is D) consecutive interior
Step-by-step explanation:
in a right triangle, the expression sin 47° is equal to what?
A model rocket is launched straight into the air from platform 3 feet above the ground with an intial velocity of 192 feet per second
Answer:
Step-by-step explanation:
the function -16t^2 + 64t + 192 give the height S, in ft, of a model water rocket launched with a velocity of 64 ft/second from a hill that is 192 ft high. a) determine how long it will take the rocket to reach the ground, b) find the interval on which the height of the rocket is greater than 240 ft.
Which statement best describes the polynomial?
-24^7 - 12x^2 -9x+6
It is in standard form because the exponents are in order from highest to lowest.
It is in standard form because the coefficients are in order from highest to lowest.
It is not in standard form because the constant should be the first term.
It is not in standard form because it can be further simplified.
Answer:-12[tex]x^{2}[/tex]-9x-4584671418
Step-by-step explanation:
Answer:
A. It is in standard form because the exponents are in order from highest to lowest
Step-by-step explanation:
On edg 2021
Please help! Thank you! :))
MATCHING TYPE: Match column A with column B. Write the letter of
the correct answer on the space provided. Show your solution on the
space provided. 2 points ea1
[tex] \sqrt{ \times = 15} [/tex]
2
[tex] \sqrt{ 4 \times = 8} [/tex]
3
[tex] \sqrt{ \times + 6 = 12} [/tex]
4
[tex] \sqrt{3 \times + 4 = 5} [/tex]
5
[tex] \sqrt{ \times + 7 = 12} [/tex]
Step-by-step explanation:
hello , you have a picture to post it will be easier to help you since the question asking to matches the column A to B .
pls i need this ASAP for a graded homework ill brainliest
Answer:
A) 7.5 feet, B) 6 feet, C)8.25 feet, D)4.875, E)15 feet, F)12.5 feet
Step-by-step explanation:
per inch, multiply by 1.5
Answer:
15
12
16.5
9.75
30
25
Step-by-step explanation:
The scale on a set of architectural drawings for a house is 1/2 inch = 1.5 feet. Find the length of each part of the house.
In my opinion, the easiest way to do this is to find how many feet equals 1 inch so that it is easier to multiply.
Multiply both sides of 1/2 inch = 1.5 feet to get
1 inch = 3 feet.
If every inch in the drawing equals 3 feet, then we can write this equation:
If s inches = 3s feet
We can use this a substitute the values given.
Now, let's dive into the problem.
1. Living room:
in this part, s=5, so 3s feet = 3 * 5 = 15 feet
2. Dining room:
s = 4, so 3s feet = 3 * 4 = 12 feet
3. Kitchen:
s = 5.5, so 3s feet = 3 * 5.5 = 16.5 feet
4. Laundry room:
s = 3.25, so 3s feet = 3 * 3.25 = 9.75 feet
5. Basement:
s = 10, so 3s feet = 3 * 10 = 30 feet
6. Garage
s = 8 + 1/3, so 3s feet = 3 * 8 1/3 = 25 feet
I hope this helps! Feel free to ask any questions!
PLZZZ HELP I NEED HELP
Answer:
n / 8
p x 4
b + 14
Step-by-step explanation:
What is the completely factored form of x^4y- 4xły - 5y?
O y(x - 5)(x2 + 1)
O y(x2 + 5)(x2 - 1)
O (xy - 5)(x2 + 1)
O (x²y + 5)(x2 - 1)
for the given kite, find the length of side LM. wrote your answer in simplest radical form. show all work.
Answer:
LM = 13√2
Step-by-step explanation:
Hypotenuse = √Base² + Perpendicular²
So,
LM = √7² + 17²
LM = √49 + 289
LM = √338
LM = 13√2
A farmhouse shelters 16 animals, some are pigs, and some are ducks. Altogether there are 42 legs. How many pigs are there?
Answer:
5 pigs
Step-by-step explanation:
A farmhouse shelters 16 animals, some are pigs, and some are ducks. Altogether there are 42 legs. How many pigs are there?
Let us represent:
Number of pigs = x
Number of ducks = y
Our system of equations is given as:
A farmhouse shelters 16 animals, some are pigs, and some are ducks.
x + y = 16...... Equation 1
x = 16 - y
Altogether there are 42 legs.
Ducks have 2 legs(feet) , pigs have 4 legs,
4x + 2y = 42..... Equation 2
We substitute
16 - y for x in Equation 2
Hence:
4(16 - y) + 2y = 42
64 - 4y + 2y = 42
Collect like terms
- 4y + 2y = 42 - 64
-2y =- 22
y = -22/-2
y = 11 ducks
Solving for x.
x = 16 - y
x = 16 - 11
x = 5 pigs
Therefore, we have 5 pigs
First to answer gets brainliest
Answer:
asssjwjeje
Step-by-step explanation:
lolilililjwjjejeie
Rewrite using Radicals
Answer:
cannot be put into radical form, sorry!
Step-by-step explanation:
what is 6.9 times 10^-2 in standard form? thanks :)
Answer:
0.069
Step-by-step explanation:
6.9 ×10^-2
69/1000
0.069
solve and get brainliest!!
please be sure of your answer!!!!
Answer:
70
Step-by-step explanation:
Graph it
Answer:
70°
Step-by-step explanation:
<1 = <3. (Vertically Opposite Angles)
Hence, value of <3 will be equal to <1 i. e.
<3 = <1 = 70°(Ans)
First to answer gets brainliest
Answer:
the asnwer is A
Step-by-step explanation:
someone help lol. bsbajajzisksnzjiskakzkz
Answer:
Nah I have grids
Step-by-step explanation:
hello! I need help. Please explain how you got the answer.
Answer:
4/15
Step-by-step explanation:
Since Hannah spent 1/3 of the money on books and 2/5 of the money on presents, she currently has 1/3 * 900 = 300 dollars gone on books and 2/5 * 900 = 360 dollars gone on presents. Adding them, she has a total of 660 dollars gone on both books and presents. Now, we need to find the fraction of the 900 dollars that she has left. We need to divide the remaining money (900 - 660 = 240) by the total money she had to figure that out.
240 / 900 = 4/15
The top of a can of soup has a radius of 3.4 centimeters. If the can is 10.2 centimeters tall, what is the approximate area of the label that wraps around the can? Select one:
O 370cm²
0 218cm²
O 54cm²
O 109cm²
Answer:
Option B 218 cm^2
Step-by-step explanation:
Given data
Radius= 3.4cm
Height= 10.2cm
Required
The curve surface area of the can of soup
Area of the curved surface will be = 2πr × h = 2πrh.
Substitute
Area of curve surface= 2*3.142*3.4*10.2
=218 cm^2 Approx
[tex]what is the square root of 245u to the power of 4 v to the power of 4[/tex]
Answer:
hope it helps ......
Step-by-step explanation:
....
have a great day
Solve for XSolve for X
Solve for X
Solve for X
Solve for X
Solve for X
Solve for X
Answer:
Step-by-step explanation:
Because the angles are opposite each other they are equal so we can say
4x-25=75
4x=100
x=25
x= 25
4x -25 = 75 ( vertically opposit angle)
4x = 100
x = 100/4
x= 25
angle = 75
hope it helps
Item 4 Identify the initial amount $a$ and the rate of growth $r$ (as a percent) of the exponential function $y=12\left(1.05\right)^t$ . Evaluate the function when $t=5$ . Round your answer to the nearest tenth.
Answer:
Initial amount = 12
Rate of growth = 5%
value of the function when t t = 5 is 15.3
Step-by-step explanation:
The standard exponential growth equation is expressed as;
y = A(1+r)^t
A is the initial amount
r is the rate of growth
t is the time
Given the expression y = 12(1.05)^t
On comparing with the general formula;
A = 12
Hence the initial amount is 12
Also;
1 + r = 1.05
r = 1.05 -1
r = 0.05
r = 0.05 * 100
r = 5%
The rate of growth is 5%
To evaluate the function when t = 5, we will substitute t = 5 into the given function as shown;
Recall that y = A(1+r)^t
y = 12(1.05)^5
y = 12(1.2763)
y = 15.3 (to the nearest tenth)
Are these triangles similar? explain why did you pick yes or no.
helpp me plss i need to pass this class
The manager of a store records the mode of payment of the 90 customers who visited his store today in the table below.
Approximately what percent were female customers that used debit/credit cards?
1. 14.00%
2. 15.56%
3. 37.78%
4. 42.22%
Answer:
Number 4 is correct.
Step-by-step explanation:
Una serpiente pitón se enrosca en forma de círculo para tocar la punta de su cola con su nariz. La pitón mide 2.6 \pi2.6π2, point, 6, pi metros de longitud. ¿Cuál es el radio rrr del círculo que forma la pitón?
Answer:
jhhhhhhhhhhhhhhhhh
Step-by-step explanation:
The radius of the circle formed would be 1.3 meters.
What is Equation Modelling? What is the circumferance of circle?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
The circumferance of circle is equivalent to 2πr
Given is a python coils itself in a circle to touch the tip of its tail with its nose. The python is 2.6π meters long
The circumferance of a circle = 2πr. Using the equation -
2πr = 2.6π
r = 2.6/2
r = 1.3 meters
Therefore, the radius of the circle formed would be 1.3 meters.
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[Question converted to english -
A python coils itself in a circle to touch the tip of its tail with its nose. The python is 2.6 \pi2.6π2, point, 6, pi meters long. What is the radius rrr of the circle formed by the python?]
3x3x3x3x3x3 as a power
(easy points)
Answer:
3x3x3x3x3x3 is the power of 5
Step-by-step explanation:
3x the power of 5
Answer:ok so its either the OBVIOUS answer 333333 or 729