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3 years ago

A non-standard (but still fair) die has sides 2, 3, 5, 8, 12, 15, 18 and 20. What is P(roll an odd number)?

Mathematics

1 answer:

lana66690 [7]3 years ago

5 0

I rolled an odd number and it was 17

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An element with mass 590 grams decays by 19. 5% per minute. How much of the element is remaining after 15 minutes, to the neares

solmaris [256]

Answer:

Step 1

Formulate a recursive sequence modeling the number of grams after n minutes.

we have that

100%-17.1%-------------- > 82.9%------------> 0.829

a(n) = 780*[0.829^n]

for n=19 minutes

a(19)=780*[0.829^(19)]=22.1121 g---------------> 22.1 g

the answer is 22.1 g

Step-by-step explanation:

5 0

1 year ago

An object is launched straight into the air. The projectile motion of the object can be modeled using h(t) = 96t – 16t2, where t

ratelena [41]

Answer with Step-by-step explanation:

We are given that height of projectile after t seconds is given by

$h(t)=96t-16t^2$

a.h(t)=144 ft

$144=96t-16t^2$

$16t^2-96t+144=0$

$t^2-6t+9=0$

$t^2-3t-3t+9=0$

$t(t-3)-3(t-3)=0$

$(t-3)(t-3)=0$

t-3=0

t=3

After 3 s, the height of the project will be 144 feet in the air.

b.h(t)=0

$96t-16t^2=0$

$16t(6-t)=0$

$16t=0\implies t=0$

$6-t=0\implies t=6$

At t=0, the initial position of projectile

At t=6 s , the projectile will hit the ground.

6 0

2 years ago

Write the equation for the statement the sum of three times x and 13 is 25

Sonja [21]

Answer:

3x+13=25

Step-by-step explanation:

5 0

2 years ago

The profitability, P, of a popular restaurant franchise can be modeled by the function P (t) = t4 – 10t3 + 33t2 – 36t, where t i

umka2103 [35]

Answer:

3 months

Step-by-step explanation:

t^3 - 10t^2 + 33t - 36

3t^2 -20t + 33 = 0

(3t-11)(t-3) = 0

t = 3 or t=11/3

6 0

2 years ago

Plz help me!!!!!!!!!!!!

Mashutka [201]

Answer: 3, -3, 3i, -3i

<u>Step-by-step explanation:</u>

<u> $x^4-81=0\\\\Factor:\\(x^2-9)(x^2+9)=0\\(x-3)(x+3)(x^2+9)=0\\\\\text{Apply the Zero Product Property:}\\x-3=0\qquad x+3=0\qquad x^2+9=0\\\boxed{x=3}\qquad \qquad \boxed{x=-3}\qquad \quad x^2=-9\\.\qquad \qquad \qquad \qquad \qquad \qquad x=\sqrt{-9}\\.\qquad \qquad \qquad \qquad \qquad \qquad \boxed{x=\pm 3i}$ </u>

7 0

2 years ago