Answer:
C. [tex]\frac{d^{2}f}{dt^{2}} = k\cdot \sqrt[3] {t}[/tex]
Step-by-step explanation:
Physically speaking, the acceleration is equal to the second derivative of the position of the vehicle in time. After a careful reading to the statement, we construct the following ordinary differential equation:
[tex]\frac{d^{2}f}{dt^{2}} = k\cdot \sqrt[3] {t}[/tex]
Where:
[tex]t[/tex] - Time, measured in seconds.
[tex]k[/tex] - Proportionality constant, measured in meters per second up to 7/3.
Therefore, the correct answer is C.
The differential equation that models the situation is:
[tex]\frac{d^2f}{dt^2} = k\sqrt[3]{t}[/tex]
Which is option C.
The position is the integral of the acceleration, with is the integral of the acceleration, hence, the relation between the position and the acceleration is:
[tex]\frac{d^2f}{dt^2}[/tex]
The acceleration is proportional to the cube root of the time since the start, hence:
[tex]\frac{d^2f}{dt^2} = k\sqrt[3]{t}[/tex]
In which k is the constant of proportionality.
A similar problem is given at https://brainly.com/question/14480252
What is the opposite of -5?
Step-by-step explanation:
the opposite of -5 is +5
have a great dayyyy :)
PLEASE HELP ME,I’ve been trying all morning
If f(x)= x^2 + 2x + 5, what is f(x + 3)?
Answer:
Step-by-step explanation:
f(x) = x² + 2x + 5
f(x+3) = (x+3)² + 2(x+3) + 5
= (x²+6x+9) + (2x+6) + 5
= x² + 8x + 20
Answer:
you sure its not f(x+3) ?
Step-by-step explanation:
A square pyramid is shown below:
A square pyramid is shown. The sides of the square base are labeled 0.7 foot. The height of one of the triangular sides is labeled 8 feet.
What is the surface area of the pyramid? (1 point)
11.69 square feet
3.29 square feet
7.49 square feet
2.24 square feet
Answer: A 11.69
Step-by-step explanation:
Answer:
11.69
Step-by-step explanation:
i need pts
Nike shoes are 45% off $80.
What will be the savings
on
the
tennis shoes ?
Answer:
You pay $44 / You're saving $36
Step-by-step explanation:
100 - 45 = 55
$80 x 0.55 = $44
Need help (8th grade math)
Slope= rise/run
=y2-y1/x2-x1
3-1/8-7
2/1
Slope=2
Answer:
2
Step-by-step explanation:
- use the equation:
m=y^2-y^1/x^2-x^1
- pick any two points:
m= -1+3/6-5
- solve:
m= 2/1
FINAL ANSWER:
2
I will mark brainliest please help
Answer:
15 cups
Step-by-step explanation:
The formula to find cups from quarts C = Q * 4, where c is how many cups, and Q how many quarts. To find how many cups are in a quart, simply multiply the number of quarts by 5. In this case, there are 3 3/4 quarts of coffee, multiply that by 5, and you would get 15 cups of coffee!
Can somebody help please?
Answer:
Answer is D
Step-by-step explanation:
Answer:uh i think D
Step-by-step explanation:
Mikhael wanted to rewrite the conversion factor "1 yard ≈ 0.914 meter" to create a conversion factor to convert meters to yards. Complete the explanation to tell how Mikhael should finish his conversion. If necessary, round to three decimal places.
(select)
1 yard by 0.914 m gives the rate of yards per meter. So 1 meter ≈
yards.
plz need help
Answer:
[tex]1\ meter = 1.094\ yard[/tex]
Step-by-step explanation:
Given
[tex]1\ yard = 0.914\ meter[/tex]
Required
Create a convert meter to yard expression
[tex]1\ yard = 0.914\ meter[/tex]
Divide both sides by 0.914
[tex]\frac{1\ yard}{0.914} = \frac{0.914\ meter}{0.914}[/tex]
[tex]\frac{1\ yard}{0.914} = 1\ meter[/tex]
[tex]1.09409190372\ yard = 1\ meter[/tex]
[tex]1\ meter = 1.09409190372\ yard[/tex]
[tex]1\ meter = 1.094\ yard[/tex] --- approximated
Answer:
Step-by-step explanation:
Enter the area of a square with a diagonal of 18 feet. Round to the nearest whole number. Just the number, no units please. We know it is feet squared. *
Steps for solving multi-step equations:
Simplify by ____________________ like terms or _______________________
(there should only be one variable after this step)
Undo any _________________ or _________________ 3. Undo any ________________ or __________________
4. _______________ answer.
Answer:
What are two-step equations?
A two-step equation is an algebraic equation you can solve in two steps. Once you've solved it, you've found the value of the variable that makes the equation true.
Example 1
We're given an equation and asked to solve for
x
xx:
3
x
+
2
=
14
3x+2=143, x, plus, 2, equals, 14
We need to manipulate the equation to get
x
xx by itself.
3
x
+
2
=
14
3
x
+
2
−
2
=
14
−
2
3
x
=
12
3
x
3
=
12
3
x
=
4
3x+2
3x+2−2
3x
3
3x
x
=14
=14−2
=12
=
3
12
=4
The solution:
x
=
4
x=4start color #1fab54, x, equals, 4, end color #1fab54
It's always a good idea to check our solution in the original e
3
x
+
2
=
14
3
⋅
4
+
2
14
12
+
2
14
14
=
14
Yes!
3x+2
3⋅4+2
12+2
14
=14
=
?
14
=
?
14
=14 Yes!
Want to learn more about two-step equations? Check out this video.
Example 2
We're asked to solve this equation for
a
aa:
8
=
a
3
+
6
8=
3
a
+68, equals, start fraction, a, divided by, 3, end fraction, plus, 6
We need to manipulate the equation to get
a
aa by itself.
8
=
a
3
Solve for x round to one decimal place.
Answer:
i wanna say 12 but i am not sure!!!!!!!!!
Step-by-step explanation:
need help with this
Answer:
y = 1
Step-by-step explanation:
Since 15 and 5, 18 and 6, and 27 and 9 all have 3 in common, then 3 should go into 1.
Answer:
1
Step-by-step explanation:
equation is always x/3=y
In order to help me move, I got a credit card with a $1,000 credit limit and spent all $1,000 the first month. The credit card charges compound interest at a rate of 15% a month, BUT, you don’t have to make any payments for one year. How much debt will I have after 1 year of having this card?
Answer
The tax/ your paying a year is 150, so you would owe 1,500 btw, answer my recent question maybe..?
Step-by-step explanation:
help please and u get a cookie
Answer:
im allergic to cookies
Step-by-step explanation:
please answer thank you
Answer:
8.1 for the 2th awnser
Step-by-step explanation:
1.4 + 5.9+2.2=8.1
Answer:
z (3.4 + 4.6 + 2.2)
:)
Someone please help!
Answer:
3.25
Step-by-step explanation:
it is shrinking by a factor of 4 so every number is 4 times smaller and 13 divided by 4 will give you 3.25
Answer:
3.25
Step-by-step explanation:
As you can see from the one on the left and the other on the right is that the left is larger than the right by the ratio of 4:1
CB = 12, ZY = 3
BA = 5, YX = 1.25
Using this information, to find ZX, we just need to divide CA's length by 4:
13 / 4 = 3.25
Divide and find answer
Answer:
Step-by-step explanation:
11 is A ( i think)
12 i know is c but if wrong im so sorry
hope this helps
In planning her retirement, Liza deposits some money at 4% interest, with twice as much deposited at 4.5%. Find the amount deposited at each rate if the total annual interest income is $2080.
She deposited $___ at 4% and $____ at 4.5%.
She deposited $16,000 at 4% and $32,000 at 4.5%
She deposited $16,000 at 4% and $32,000 at 4.5%.
Let's assume Liza deposited an amount x at 4% interest. According to the given information, she deposited twice as much, which is 2x, at 4.5% interest.
To calculate the interest income from the deposits, we'll use the formula: Interest = Principal × Rate × Time.
At 4% interest, the interest earned is 0.04x (4% expressed as a decimal multiplied by x).
At 4.5% interest, the interest earned is 0.045(2x) (4.5% expressed as a decimal multiplied by 2x).
We know that the total annual interest income is $2080. Therefore, we can write the equation:
0.04x + 0.045(2x) = 2080
Simplifying the equation:
0.04x + 0.09x = 2080
0.13x = 2080
x = 2080 / 0.13
x ≈ 16,000
Liza deposited approximately $16,000 at 4% interest, and since she deposited twice as much at 4.5% interest, she deposited approximately $32,000 at 4.5% interest.
Therefore, she deposited $16,000 at 4% and $32,000 at 4.5%.
To know more about deposited:
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Round 992 to the nearest ten
Answer:
990
Step-by-step explanation:
990
2 is lower than 5 so we round down. Instead of rounding up to 1, round down to 0
4.012+ S equals 5.313
Answer:
S= 1.301
Step-by-step explanation:
5.313-4.012=S
Item 4: Help! asapnplease
Answer:
The answer tot he question provided is 5.
Step-by-step explanation:
→ Angle D and Angle B are congruent to each other, which means that they are equal.
→ The equation would look like:
[tex]2x + 4 = 4x - 6[/tex]
→ Solve the equation.
[tex]2x + 4 = 4x - 6 \\ \frac{ - 4x \: \: \: \: = - 4x \: \: \: \: \: \: \: \: \: }{ - 2x + 4 = - 6} \\ \frac{ \: \: \: \: \: \: \: \: \: \: \: - 4 = - 4}{ \frac{ - 2x}{ - 2} = \frac{ - 10}{ - 2} } \\ x = 5[/tex]
→ The value of x results in being 5.
Sam knows that there are 12 inches in 1 foot. He has a string that is 3 1/2 feet long. What is the length of the string , in inches?
Answer:
42 in
Step-by-step explanation:
12 x 3 = 36
1/2 foot = 6 in
36 + 6 = 42
In a NFL game in December the Seattle Seahawks scored 16 of their 40 points in the second quarter. What percent of their total points were made in the second quarter?
Answer:
That would be 40%.
What is the measure of angle r
Answer:
Step-by-step explanation:
you have a pentagon , and the sum of the angles is 540
3x-10+3x-8+5x-2+3x+1+2x+15=16x-4=540
16x-4=540
16x=544
x=544/16=34
the angle= (3x-8)=(3*34)-8=94
On Thursday, 14 out of 20 cookies sold at a bakery were Chocolate Chip. What percent of the cookies sold at the bakery were Chocolate chip?
Question 1 (5 points)
The height of a kicked football can be represented by the polynomial -16+47t+3
= 0, where tis the time in seconds. Find the time in seconds of when the football hits
the ground.
A) 3 seconds
B) 2.5 seconds
C) 1 second
D) O seconds
Answer:
A. 3 secseconds
Move 16 and 3 to the other side and divide
What is 2.419 rounded to the nearest one?
Answer:
2
Step-by-step explanation:
Help me pls it’s due today at 11:59
Answer:
A rotation followed by a translation
A bowl of soup at 95!C (too hot) is placed in a 22!C room. One minute later, the soup has cooled to 83!C. When will the temperature be 49!C (just right)?
Answer:
in 3 minutes and 50 seconds
Step-by-step explanation:
soup = 95c
after 1 minute = 83c
after 2 minutes = 71c
after 3 minutes = 59
soup cools down 0.2c in 1 seconds
so 10 seconds = 2c
in 3 minutes and 50 seconds = 49c
The temperature 49°C of soup bowl will be after 5.54 minutes
Newton law of coolingAccording to Newton's law of cooling, the rate of loss of heat from a body is directly proportional to the difference in the temperature of the body and its surroundingsThe formula is as follow:[tex](T-T_{s} )=(T_{0} -T_{s} )e^{-kt}[/tex]
What are the steps to solve this problem?Given[tex]T =[/tex] 83°C and 49°C
[tex]T_{s} =[/tex] 22°C
[tex]T_{0} =[/tex] 95°C
We have to find value of t for that first we will find value of k and applying all values in formula we get,(83-22)=(95-22)[tex]e^{-k}[/tex]
∴ k = -ln (61/73)
Now,
(49-22) = [tex]e^{ln(61/73)t}[/tex]
∴ t = [tex]\frac{ln (27/73)}{ln(61/73)}[/tex]
∴ t = 5.54 minutes
So, after 5.54 minutes temperature will be 49°C
Learn more about Newton's Law of Cooling here:
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?????????????????????
Answer:
f(9) = 61
Step-by-step explanation:
You know f(x) = 8x - 11. So, to find f(9), you have to replace x with 9 on the other side.
f(9) = 8(9) - 11
You can solve this.
f(9) = 72 - 11
f(9) = 61