3 years ago

On Monday, 4 people signed up to go bowling. The following day, 11 more

Mathematics

1 answer:

Licemer1 [7]3 years ago

4 0

Answer:

Step-by-step explanation:

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Solve. Don't forget the $ sign! *

Leno4ka [110]

Answer:

$3, 661.60

Step-by-step explanation:

1703.44 + 1958.16

5 0

3 years ago

If you roll a six-sided die three times, how many possible outcomes are there?

mihalych1998 [28]

Answer:

There would be 216 possible outcomes

Step-by-step explanation:

6 0

3 years ago

A particle moves along a horizontal line. Its position function is s(t) for t is greater than or equal to 0. For each problem, f

OleMash [197]

Answer:

1) Velocity

$v(t) = -4\cdot t^{3}+36\cdot t^{2}$

Acceleration

$a(t) = -12\cdot t^{2}+72\cdot t$

2) Velocity

$v(t) = -4\cdot t^{3}+24\cdot t^{2}$

Acceleration

$a(t) = -12\cdot t^{2}+48\cdot t$

Step-by-step explanation:

From Physics we remember that velocity ( $v(t)$ ) and acceleration ( $a(t)$ ) are the first and second derivatives of the function position in time. That is:

1) Let $s(t) = -t^{4}+12\cdot t^{3}$ , where $t \ge 0$ . The functions velocity and aceleration are, respectively:

Velocity

$v(t) = -4\cdot t^{3}+36\cdot t^{2}$

Acceleration

$a(t) = -12\cdot t^{2}+72\cdot t$

2) Let $s(t) = -t^{4}+8\cdot t^{3}$ , where $t\ge 0$ . The functions velocity and acceleration are, respectively:

Velocity

$v(t) = -4\cdot t^{3}+24\cdot t^{2}$

Acceleration

$a(t) = -12\cdot t^{2}+48\cdot t$

4 0

3 years ago

If a car averages 24 1/2 miles to a gallon of gas, how many miles can it travel on 22 gallons of gas?

Lilit [14]

Answer:

539

Step-by-step explanation:

24.5 x 22 = 539

3 0

2 years ago

Titanium-44 is a radioactive isotope such that every 63 years, its mass decreases by half. For a sample of titanium-44 with an i

Darina [25.2K]

Answer:

Function= T=K/M

Mass of Sample after 40 yrs = 31.746032 grams

Step-by-step explanation:

As time increases, the mass decreases, hence it's inverse proportion

T ∝ 1/M

Function = T = K/M

Using direct proportion to evaluate mass after 40 yrs

when T= 63yrs, Mass = 0.5M

When T = 40 yrs Mass = X

X = 0.3174603M

Hence mass after 40 years = 0.3174603(100) = 31.746032 grams

5 0

3 years ago