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3 years ago

7

A whitewater raft has a capacity of 10 plus the crew. The raft company has found that 60% of those with reservations show up, so

they take up to 12 reservations. What is the probability that 10 people show up?

1 answer:

nirvana33 [79]3 years ago

5 0

Step-by-step explanation:

55

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The first three terms of an arithmetic sequence are 3k-1, 4k+1, 6k-2. What is the value of k?

yawa3891 [41]

Answer:

k = 5

Step-by-step explanation:

First three terms of an AP are 3k-1, 4k+1, 6k-2.

First term is 3k-1

For an AP,

a₂-a₁=a₃-a₂

4k+1-(3k-1)=6k-2-(4k+1)

4k+1-3k+1=6k-2-4k-1

k+2=2k-3

Separating like terms,

k-2k=-3-2

-k=-5

k = 5

So, the value of k is 5.

4 0

3 years ago

It say to state weather each figure is a polyhedron

Nimfa-mama [501]

A polyhedron is a three dimensional figure in which each side is made up of other two dimensional geometric figures, like triangles, hexagons, etc.

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3 years ago

HURRYYYYYYYYY!! What is the equation of the quadratic function with a vertex at (2, 25) and an x-intercept at (7,0)?

tangare [24]

Answer:

$y=-(x-7)(x+3)$

which is none of the choices provided.

Are you sure the question is right or even the choices?

You can even write it as:

$y=-(x+3)(x-7)$ but this is still not a choice.

Step-by-step explanation:

The vertex form of a quadratic is $y=a(x-h)^2+k$ .

This is called vertex form because it gives you the vertex is $(h,k)$ .

We are given that $(h,k)=(2,25)$ which makes our equation:

$y=a(x-2)^2+25$ .

We can find the value of $a$ by plugging in the x-intercept (7,0) for $(x,y)$ into:

$y=a(x-2)^2+25$

$0=a(7-2)^2+25$

$0=a(5)^2+25$

Subtract 25 on both sides:

$-25=a(5)^2$

$-25=a(25)$

Divide both sides by 25:

$\frac{-25}{25}=a$

$-1=a$ .

So the equation for the quadratic is:

$y=-1(x-2)^2+25$

Let's put this into factored form since all the choices are in factored form.

This will require us to multiply the (x-2)(x-2) out:

$y=-1(x-2)(x-2)+25$

$y=-1(x^2-2x-2x+4)+25$

$y=-1(x^2-4x+4)+25$

$y=-x^2+4x-4+25$

$y=-x^2+4x+21$

Factor out -1:

$y=-(x^2-4x-21)$

WE need to find two numbers that multiply to be -21 and add to be -4:

$y=-(x-7)(x+3)$

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3 years ago

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An automobile's radiator has a capacity of fifteen quarts, and it currently contains twelve quarts of a thirty percent antifreez

matrenka [14]

I got 3 quarts... this is the last one I'm doing cause you are mad at me and want nothing to do with me. hope u get the rest of your answers and bye.

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3 years ago

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Rob buys 6 tickets to the basketball game. He pays$8.50 for parking. His total cost is $40.54. What is the cost of each ticket?

Bezzdna [24]

Answer:

Step-by-step explanation:

26.04

7 0

3 years ago