1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ycow [4]
3 years ago
13

A car's position is given by s(t) = {3 – 5t? + 7t hundreds of meters with t in minutes.

Mathematics
1 answer:
Nadya [2.5K]3 years ago
8 0

Answer:

A) (1 s, 2.3 s)

B) (-4 m/s², 3.8 m/s²)

Step-by-step explanation:

The car's position which is the distance is given by the equation;

s(t) = t³ - 5t² + 7t

A) Velocity is the first derivative of the distance. Thus;

v(t) = ds/dt = 3t² - 10t + 7

At v = 0, we have;

3t² - 10t + 7 = 0

Using quadratic formula, we have;

t = 1 and t = 2.3

Thus, time at velocity of 0 is t = (1 s, 2.3 s)

B) acceleration is the derivative of the velocity. Thus;

a(t) = dV/dt = 6t - 10

At velocity of 0, we got t = 1 and t = 2.3

Thus;

a(1) = 6(1) - 10 = -4 m/s²

a(2.3) = 6(2.3) - 10 = 3.8 m/s

Thus, a(t) at v = 0 gives; (-4 m/s², 3.8 m/s²)

You might be interested in
0.47 can this be written as a fraction
bixtya [17]

Answer:

47/100

............

4 0
3 years ago
Read 2 more answers
A family buys 3 dinners at $9 each, 2 kids’ meals at $4 each, and 4 desserts at $3 each. After using a $10 off coupon, how much
Tomtit [17]
Hi

3 dinners at $9 each.
9 x 3

2 kids' meals at $4 each
9 x 3 + 4 x 2

4 desserts at $3 each
9 x 3 + 4 x 2 + 4 x 3

$10 dollar off coupon
9 x 3 + 4 x 2 + 4 x 3 - 10

Solve using PEMDAS
9 x 3 + 4 x 2 + 4 x 3 - 10 = ?
27 + 8 + 12 - 10 = ?
35 + 12 - 10 = ?
47 - 10 = ?
37

The answer is 37

Hope this helps! :)
6 0
3 years ago
Read 2 more answers
Factors of 130 with an exponent
xz_007 [3.2K]
130 =

2 *  5  *  13

The prime factors are 2, 5, and 13.

No prime factors are used more than once.

The only exponents to write might be the understood 1.

130 = 2^1  *  5^1  *  13^1
4 0
3 years ago
An integer n>1 is abundant if the sum of its proper divisors is greater n. find the smallest abundant integer.
Korvikt [17]
You can obviously skip over all the prime numbers. Take 4, 6, 8, 9, 10, 12, 14, etc.

4 only has two proper divisors: 1, 2
sum = 3

6 has three: 1, 2, 3
sum = 6

8 also has three: 1, 2, 4
sum = 7

10 has three: 1, 2, 5
sum = 8

12 has five: 1, 2, 3, 4, 6
sum = 16

12 is the least abundant integer.
3 0
3 years ago
Please help with this question. <br> It’s an assignment that’s due at 11:30
Aliun [14]

Answer:205

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • What does ∑11n=1(98−2n) equal?<br><br> Plz Help
    12·2 answers
  • What is 1.10 fraction of 6000
    11·1 answer
  • Find two numbers that multiply to 17 and add to 18
    10·1 answer
  • Rajan needs 1 liter of 15% hydrochloric acid solution for an experiment. He checks his storage cabinet, but he only has a 5-lite
    6·1 answer
  • Simplify the expression
    5·1 answer
  • Tell whether each equation represents a direct variation. if so, identify the constant of variation.
    9·1 answer
  • Round each mixed number to the nearest whole number. Then, estimate the sum.<br> 141 +31
    8·1 answer
  • Find the sum of 6.28x10^3 and 9.5x10^1 in standard form
    15·1 answer
  • What are the coordinates of the point (-3,4) after a translation of 2 units down and 5 units left
    5·1 answer
  • The length of the rectangle below is (2x-3) and the width is (x+7). Find the area of the rectangle in terms of x.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!