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2 years ago

If you drive at 100km/hr for 6 hours, how far will you go

Mathematics

2 answers:

tatiyna2 years ago

6 0

600km. Because 100 kilometers an hour times 6 equals a distance of 600km.

netineya [11]2 years ago

5 0

You times the speed by the time given to you:
100*6 = 600

You would travel 600km,
Hope this helps! :)

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If the vertex of a parabola is (4,-6), what is the axis of symmetry?

Serhud [2]

Answer:

x = 4

Step-by-step explanation:

4 0

2 years ago

Explain why sin^-1(sin(3pi/4))does not equal 3pi/4 when y=sin x and y=sin^-1 x are inverses.

Fofino [41]

Because they're not inverses, not exactly. $\sin x$ is not invertible on its entire domain because it's not one-to-one. There are infinitely many values of $x$ such that $\sin x=0$ , for example.

The standard function $\sin^{-1}x$ has a domain of $-1\le x\le1$ and outputs values between $-\dfrac\pi2$ and $\dfrac\pi2$ . This means that its inverse, $\sin x$ , is indeed its inverse as long as $-\dfrac\pi2\le x\le\dfrac\pi2$ .

$\dfrac{3\pi}4$ is larger than $\dfrac\pi2$ and thus does not fall in the "invertible part" of the domain of $\sin x$ . We have

$\sin\dfrac{3\pi}4=\dfrac1{\sqrt2}$

which is a value between -1 and 1, so that

$\sin^{-1}\left(\sin\dfrac{3\pi}4\right)=\sin^{-1}\left(\dfrac1{\sqrt2}\right)=\dfrac\pi4$

If we wanted to recover $\dfrac{3\pi}4$ , we'd have to redefine $\sin^{-1}x$ or define a new inverse function that works on a different branch of the domain of $\sin x$ .

7 0

3 years ago

A laundry owner's estimate of her weekly profits, is given by the equation p=-4w2+160w, where w represent the number of workers

kirza4 [7]

Answer:

Number of workers = 20.

Step-by-step explanation:

p = - 4w^2 + 160 w

We need to find the value of w when p is a maximum.

We need to convert the equation to vertex form:

p = -4w^2 + 160w

p = -4(x^2 - 40w)

p = -4 [ (x - 20)^2 - 400]

p = -4(x - 20)^2 + 1600.

So the vertex is at (20 , 1600)

The maximum profit is 1600 and the number of workers = 20.

7 0

3 years ago

denpristay [2]

Answer:

Actual height of the building is 670 m

Step-by-step explanation:

We have been the actual height of a Ferris wheel which is 134 m. Along with it we are also given the scaled down heights of a Ferris wheel and a building. Using this data we have to find the actual height of a building.

Actual height of Ferris wheel = 134 m.

Height of Ferris wheel using the scale = 0.65 cm

Height of building after using the scale - 3.25 cm

Let, the actual height of building be x meters.

Since, the same scale is being used, the ratio of actual heights to that of scaled down heights must be the same for both objects.

i.e.

Ratio of Actual Height to scale height of Ferris Wheel = Ratio of Actual Height to scale height of the building

Using the values, we get:

$134:0.65 =x:3.25\\\\\frac{134}{0.65}=\frac{x}{3.25}\\\\ \frac{134}{0.65} \times 3.25 = x\\\\ x=670$

The units of actual heights are in meters, so this means the actual height of the building is 670 m

5 0

3 years ago

I really need help please and thank u

katrin [286]

I cant see it like that

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3 years ago