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KonstantinChe [14]
3 years ago
9

The first astronaut on mars tossed a rock straight up.the height h measured in feet after tt seconds is given by function h(t)=-

6t²+24t+6
After how many seconds will the rock be 30 ft above the surface of Mars?

After how many seconds will the rock be 10 ft above the surfaces of Mars? (Round to nearest hundredth)


​

Mathematics
1 answer:
Artemon [7]3 years ago
7 0

Answer:

h'(t)= -12

Step-by-step explanation:

h'(t)=d/dt (-6t x 2 + 24 + 6)

h'(t)=d/dt (-12t + 24 + 6)

h'(t)=d/dt (-12t + 30)

h'(t)=d/dt (-12t) + d/dt (30)

h'(t)= -12+0

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Help please inequalities are kicking my butt any help is greatly appreciated thank you in advance
Hitman42 [59]

Answer:

Correct option is (C)

Step-by-step explanation:

we are given that -Tim design a pair of shorts,S, and T-shirts,t.

Tim sell Sorts for $12 and T-shirts for $8 each.

Tim can work atmost 18 hours a day so we can write time\leq 18

Time taken to design a T-shirt is 30 minutes and for Shorts, it is 45 minutes.

\frac{30}{60}t+\frac{45}{60}s\leq   18\\\text{Multiply both the sides by 60}\\30t+45s\leq 1080\\\text{Divide both the sides by 45}\\s+0.66t\leq 24\\\text{Subtract 0.66t from both the sides}\\s\leq 24-0.66t

He must design 12 itesm each day, so we can write t+s\geq 12

Further it can be written as

t+s\geq 12\\\text{Subtract t from both the sides}\\s\geq 12-t

Also Tim can not design more than 30 items in one day, so we can write

t+s\leq 30\\\text{Subtsract t from both the sides}\\s\leq 30-t

Hence from the above equations , its claer that

s\geq 12-t,s\leq 30-t,s\leq 24-0.66t,s\geq 0,t\geq 0

7 0
3 years ago
Help me please!!!!!!! <br> I will five brainleist only if its right :)
olganol [36]

Answer:

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Step-by-step explanation:

4 0
3 years ago
In a game the player wins if he rolls a 6 on a number cube. If the number cube is rolled 18 times, then what is a reasonable pre
monitta

Answer:

15/18

Step-by-step explanation:

A single di has 6 sides, meaning the probability of rolling a 6 is 1/6. So if you roll a di 18 times you would probably get 6 three times. Meaning the number of unsuccesful rolls would be (18/18 - 3/18). Hope this helps.

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Calculate the number of roots of <br> 2sin^3x-5sin^2x+2sinx=0<br> in the interval 0&lt;=x&lt;=pi
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Answer:

Which points are collinear?

G, A, and T

G, E, and T

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Step-by-step explanation:

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3 years ago
A florist has to choose four different types of flowers to include in a bouquet. In how many ways can the florist do this, if th
Nat2105 [25]

Answer:

Step-by-step explanation:

Given:

Type of Flowers = 5

To choose = 4

Required

Number of ways 4 can be chosen

The first flower can be chosen in 5 ways

The second flower can be chosen in 4 ways

The third flower can be chosen in 3 ways

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Total Number of Selection = 5 * 4 * 3 * 2

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Alternatively, this can be solved using concept of Permutation;

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Such that

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Substitute 5 for n and 4 for r

5P4 = \frac{5!}{(5 - 4)!}

5P4 = \frac{5!}{1!}

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Hence, the number of ways the florist can chose 4 flowers from 5 is 120 ways

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