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4 years ago

A car travels 2 1/3 miles in 3 1/2 minuets at a constant speed

Mathematics

1 answer:

elena-s [515]4 years ago

4 0

2 1/3 miles / 3 1/2 minutes

7/3 * 2/7 = 14/21 = 2/3 mile per minute

A) d = 2/3m

2/3 mile per minute *60 minutes = 40 miles per hour

d=40h

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Can anyone answer these?????

Arlecino [84]

22's answer is because they're alternate

8 0

3 years ago

Micah is writing a function that models the height a dolphin reaches when it propels itself from underwater to the surface, leap

stepladder [879]

Answer:

The dolphin will be above the surface of the water for 2 seconds.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}$

$\Delta = b^{2} - 4ac$

The height of the dolphin after t seconds is given by:

$h(t) = -16t^2 + 96t - 128$

According to Micha's model, how long will the dolphin be above the surface of the water?

It stays above the surface of the water between the first and the second root. Initially, it is below water, when the first time for which $h(t) = 0$ it crosses the surface upwards, and then the second time for which $h(t) = 0$ it crosses the surface downwards.

We have to find these roots. So

$h(t) = -16t^2 + 96t - 128$

$-16t^2 + 96t - 128 = 0$

Multiplying by -16

$t^2 - 6t + 8 = 0$

$\Delta = (-6)^{2} - 4*1*8 = 36 - 32 = 4$

$t_{1} = \frac{-(-6) + \sqrt{4}}{2} = 4$

$t_{2} = \frac{-(-6) - \sqrt{4}}{2} = 2$

4 - 2 = 2

The dolphin will be above the surface of the water for 2 seconds.

4 0

3 years ago

What is 1/2 feet = ___ inches

FinnZ [79.3K]

Answer:

6 inches

Step-by-step explanation:

12 inches to a foot, divide by 2 = 6

7 0

3 years ago

Read 2 more answers

This is all it gave me 6 C 2 = a0

frozen [14]

Answer:

$\binom{6}{2} = a_{0}=15$

Step-by-step explanation:

$\binom{6}{2} = a_{0}$

$\binom{n}{r} =\frac{n!}{r!\times(n-r)!}$

It is representing a combination form where, n is number of items we have and r is the number of items we choose from n

Here, n = 6 , r = 2

$\binom{6}{2} =\frac{6!}{2!\times(6-2)!}$

= $=\frac{6!}{2!\times(4)!}$

$n!=n\times(n-1)\times(n-2)\times(n-3).....\times3\times2\times1$

$=\frac{6\times5\times4!}{2\times(4)!}$

$=\frac{6\times5}{2}$

$={3\times5}$

$={15}=a_0$

Thus, $\binom{6}{2} = a_{0}=15$

8 0

3 years ago

What are the coordinates of the vertex of the table? Is it a minimum or a maximum?

Tatiana [17]

You can reconstitute the equation of this quadratic function
of te form:y = ax² + bx + c, by giving x and y the various values in the table. For instance: for x = 0, y =1. Plug 0 & 1 in the equation:1 = a(0)² +b(0) + c → c = 1 . You continue with the other values and you will find :
a-b = -3 and
4a - 2b =- 4
Solving it will give y = x² +4x +1
This is a parabola opening upward (because a >0) with an axis of symmetry = -b/2a or x= -2 and a minimum y = (-2)² -2(4)+1 = -3; hence
MINIMUM (-2, -3).
N.B: Your various answers don't mention my result. However in your
C. Answer they are claiming Maximum (-2,-3) and it's wrong it should be MINIMUM.
Please refer to your teacher since I am sure of the result <span> </span>

8 0

4 years ago

Read 2 more answers