Answer:
36 milliliters of rain.
Step-by-step explanation:
The rate at which rain accumluated in a bucket is given by the function:
[tex]r(t)=10t-t^2[/tex]
Where r(t) is measured in milliliters per minute.
We want to find the total accumulation of rain from t = 0 to t = 3.
We can use the Net Change Theorem. So, we will integrate function r from t = 0 to t = 3:
[tex]\displaystyle \int_0^3r(t)\, dt[/tex]
Substitute:
[tex]=\displaystyle \int_0^3 10t-t^2\, dt[/tex]
Integrate:
[tex]\displaystyle =5t^2-\frac{1}{3}t^3\Big|_0^3[/tex]
Evaluate:
[tex]\displaystyle =(5(3)^2-\frac{1}{3}(3)^3)-(5(0)^2-\frac{1}{3}(0)^3)=36\text{ milliliters}[/tex]
36 milliliters of rain accumulated in the bucket from time t = 0 to t = 3.
Help me guys please :(
5th grade math. correct answer will be marked brainliest.
Answer:
The answer will be 41/14
Step-by-step explanation:
2.928571429
-9 = 1/3m + 6
SHOW WORK.
Step-by-step explanation:
Sorry its messy but if you cant understand tell me
Please HELP ASAP PLEASE?????!!!!
Answer:
-1
Step-by-step explanation:
Any number less than -2 (ex -3, -4, -5) are less than -2
Answer:
-1
Step-by-step explanation:
If you look at a number line, you will see that -1 comes before -2. Since -2 is a negative number, then the lower the number, the greater it is.
Help! 20 Points!!
A deposit of $1,500 is made into a savings account which earns 4 5 8 % interest compounded annually. If no additional deposits or withdrawals are made, which amount is the total balance at the end of 5 years? A) $1,846.88 B) $1,869.27 C) $1,880.48 D) $1,891.74
Answer:
The best answer would be C. $1880.48
Step-by-step explanation:
Hope this helps
Answer:
c
Step-by-step explanation:
i took the quiz
Algebra find the value of x in each figure.
Answer:
D. 211
Step-by-step explanation:
180-19=161
161+50=211
19+(211(x)-50)=180
211° is the value of x since if u substitute it u will get your answer note that angle on a straight line is 180°
1.Assume that 20 squirrels are put in an enclosed wildlife ranch and the squirrel population grows for the next 5 years, as shown in the table.
Year
Rabbit Population
0
20
1
80
2
320
3
1280
4
5120
5
20,480
Write a function that represents this.
2.A second group of 20 squirrels of a different breed is placed on a different ranch. The population of squirrels triples each year. Write an equation to model this situation.
3.Had the second group started with 40 squirrels instead of 20, which population will be bigger by year 3 and by how much?
Answer:
For the first group we have the pairs:
year population
0 20
1 80
2 320
3 1,280
4 5,120
5 20,480
Here we can see that the population quadruples each year
(4*20 = 80, 80*4 = 320, 320*4 = 1,280, etc...)
then the population equation is:
P(0) = 20
P(1) = 20*4
P(2) = (20*4)*4 = 20*4^2
We already can see the pattern, then we can write this relationship as:
P(t) = A*(4)^(t)
Where:
t represents time in years, and A is the initial population, that we know it is 20, then:
P(t) = 20*(4)^t
This is the function that represents the table.
B) Now we have a group of 20 squirrels and the population triples each year, with the same reasoning than before we can write the equation that models this situation as:
Q(t) = 20*(3)^t
C) Now, if the initial population of the second group is 40, the equation becomes:
Q(t) = 40*(3)^t
The population by year 3 is given by replacing t by 3, then:
Q(3) = 40*(3)^3 = 1080
And the population of the other group in year 3 is seen in the table, it is 1,280, then the population of the first group is bigger by year 3, and it is greater by:
1,280 - 1,080 = 200
So the first group is larger by 200 squirrels.
What quantity of 61% hydrochloric acid solution must be mixed with a 21% hydrochloric acid solution to produce 277.5 mL of 53% solution?
Answer:
222 mL
Step-by-step explanation:
okay so lets multply them lets call the quantity of hydrocloric acid x
so 61x+ 21(277.5-x)= 53*277.5
61x+ 21*277.5-21x= 53*277.5
40x=(53-21)(277.5)
40x= (32)(277.5)
x= 222 mL
if my answer helps please mark as brainliest.
Solve for x. 20 points!
Answer:
x=-12
Step-by-step explanation:
Please help me answering this :)
If fake answer, then will be reported.
Answer:
25.
Step-by-step explanation:
If the distance from Dunlap and Butte is 20 MI then the distance between Ferris and Butte would be 25 because it wouldn’t reach from 20 all the way so it Hass to add more and 25 would be the only one .
on monday delilahs family drives 45 1/3 miles each hour
Answer:
15 total miles each hour
Step-by-step explanation:
for this situation and the information given in the question, all we have to do is divide the total amount by 3 (since its 1/3) to get the amount of total miles they drove at, wich is the speed they drove in this case
(sidenote: kinda slow if ya ask me but ok XD)
hope this helps you :D
A truck can drive 200 kilometers on 25 liters of gasoline.
How many liters of gasoline do I need to drive 640 kilometers?
imut How many hours will it
Enter the phrase as an algebraic expression.
61 less than j
what is the quotient of 267.72 and 4.6?
56 + -90 * 2 - -17 =
Answer: -1654
Step-by-step explanation:
HELP ASAP! I’m very confused and need help!
Answer:
I think it's 1 and 7 and 2 and 8.
Step-by-step explanation:
^^
A triangular prism. The rectangle has a base of 15 centimeters and height of 5 centimeters. Another rectangle has a base of 15 centimeters and height of 13 centimeters. Another rectangle has a base of 15 centimeters and height of 12 centimeters. 2 triangles have a base of 5 centimeters and height of 12 centimeters.
What are the dimensions, a, b, and c, of the net?
a = cm
b = cm
c = cm
Answer:
theres the answers. hope this helps!
Step-by-step explanation:
Answer:
What are the dimensions, a, b, and c, of the net?
a = ✔ 5 cm
b = ✔ 13 cm
c = ✔ 15 cm
Step-by-step explanation:
I took it!
Simplify the following using the Distributive Property: -2(x+10)
Answer:
[tex]\bold{-2x-20}[/tex]
Step-by-step explanation:
Hi there!
Let's clarify what the Distributive Property is.
It's a property that states
[tex]\bold{a(b+c)=ab+ac}[/tex]
So, we take a number a, multiply it by b and c, and add the products.
Now, let's use this property to simplify our expression:
[tex]\bold{-2(x+10)}[/tex]
[tex]\bold{-2x-20}[/tex]
Hope it helps! Enjoy your day!
~Just a teenage girl willing to help
[tex]\bold{Besties4Ever:-):-):-)}[/tex]
Write 9/12 as a sum of unit fractions.
Answer:
9/12 = 1/2 + 1/4
Step-by-step explanation:
This can be done in an unlimited number of ways. Which you choose depends on what you are trying to achieve. Each way will get you the same sum. <33
A bucket contains stones and seashells. There are 40 seashells in the bucket and the ratio of stones to seashells is 7 : 4. Find the number of stones in the bucket.
Answer:
70 stones
Step-by-step explanation:
since there are 40 seashells represented by 4 in the ratio
you can do 7 times 10 and that equals 70.
3x + y=11
-2x + y=1
Solve using substitution method
Answer:
3x+yl=11
-2x+y=11
y=11-3x
-2x+11-3x=11
-5x=11-11
so x=0
y=11-0
y=11
Please Help me with this URGENT
Answer:
y = [-½]x + [-5]
Step-by-step explanation:
Equation describing how x and y are related can be written in slope-intercept form, y = mx + b.
m = slope = ∆y/∆x
Using two pairs of values from the table, (-2, -4) and (0, -5),
Slope (m) = (-5 - (-4))/(0 - (-2)) = -1/2
m = -½
b = y-intercept = the value of y when x is 0 = -5
b = -5
✔️To write the equation, substitute m = -½ and b = -5 into y = mx + b
Thus:
y = [-½]x + [-5]
Rick earned $24 for each car he washed. This month he washed 15 cars. He spent $85 of the money he earned this washing cars and saved the red of the money. How much money did Rick save from the he earned washing cars this month?
Answer:
$275
Step-by-step explanation:
If you multiply 24 by 15 you get the total which is $360. When you subtract the $85 he spent you get $275 left over that he is saving.
PLEASE HELP HELP HELP IMAGE ATTAcHED
Answer:
is 3
Step-by-step explanation:
because look at the down the trigal and you will see that they pointing at the tree
Answer:
3
Step-by-step explanation:
P(1, 3) ⇒ P'(3, 9)
R(1, 1) ⇒ R'(3, 3)
Q(3, 1) ⇒ Q'(9, 3)
Looking at the points, it appears that the x and y coordinates are being multiplied by 3. Therefore, the scale factor is 3.
Sharon works as a carpenter and makes $29.67 per hour.
Sharon works 10 hours every day. Calculate the gross pay per
week.
Answer:
2,076.9
Step-by-step explanation:
29.67 x 10 = 296.7
296.7 x 7 = 2,076.9
A student would like to estimate the mean length of words in a book report he just finished writing. He selects a
random sample of 20 words and determines the mean length to be 4 characters. Later, he discovers how to use a
built-in function of his word-processing program that reveals that the mean length of all words in his book report is
4.3 characters. Which of the following describes the number, 4.3?
O sample
O statistic
population
parameter
Answer:
statistic
Step-by-step explanation:
because its calculated
Answer:
parameter
Step-by-step explanation:
i got 100
1. Marisol is making a pattern with blocks. What might the missing shape be? First, look at the blocks. ? Shape: 1 1 . 2 3 Next, describe Marisol's pattern.
Answer:
edwardrocks124531
Beginner
2 answers
4 people helped
Answer:
by butthole be icrhingggg jejdhows your day whether are you there bhdhx
Step-by-step explanation:
jshdhdjejsjdjdjfbfhdjdbfbid gregg tea r hurry dragon all see few free add gree d success butt ginn hwdohee fell woman woah bbjdndjdhdbdjfidheuhebdidbdndf
Step-by-step explanation:
Please help me.
The answers are
A (3, -2
B (1,14)
C (4,3)
D (2,9)
Answer:
c. (4,3)
Step-by-step explanation:
If you look at all the rest of the coordinates, compared to (4,3). None of them are in the red area. They are either in the blue, or the orange. To be a solution it has to be in both areas, (the red). Hope this helps!
What is 1.35 rounded to the nearest whole ounce
Answer:
Pretty sure the answer would be 1
Step-by-step explanation:
Answer:
i think 2.7
Step-by-step explanation:
(HINT: your answer should be written as a rate.)
(Please Help) (ASAP)
POINT:20!!!
Answer:
his average speed is 60 mph
Step-by-step explanation:
please mark brainliest, i need it for a new rank
<3