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kirill115 [55]
2 years ago
15

A number, x, rounded to 1 significant figure is 200 Write down the error interval For x.

Mathematics
1 answer:
Diano4ka-milaya [45]2 years ago
8 0

Answer:

150< x ≤ 250

Step-by-step explanation:

Couldn't be bothered

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Find the vertex and length of the latus rectum for the parabola. y=1/6(x-8)^2+6
Ivan

Step-by-step explanation:

If the parabola has the form

y = a(x - h)^2 + k (vertex form)

then its vertex is located at the point (h, k). Therefore, the vertex of the parabola

y = \dfrac{1}{6}(x - 8)^2 + 6

is located at the point (8, 6).

To find the length of the parabola's latus rectum, we need to find its focal length <em>f</em>. Luckily, since our equation is in vertex form, we can easily find from the focus (or focal point) coordinate, which is

\text{focus} = (h, k +\frac{1}{4a})

where \frac{1}{4a} is called the focal length or distance of the focus from the vertex. So from our equation, we can see that the focal length <em>f</em> is

f = \dfrac{1}{4(\frac{1}{6})} = \dfrac{3}{2}

By definition, the length of the latus rectum is four times the focal length so therefore, its value is

\text{latus rectum} = 4\left(\dfrac{3}{2}\right) = 6

5 0
3 years ago
A sound wave enters a new medium where sound travels faster. How does this affect the frequency and wavelength of the sound?
worty [1.4K]
The frequency stays the same and the wavelength decreases.
6 0
3 years ago
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How does scale factor affect the change in area?​
MrRa [10]
<h3>Answer:</h3>

<u>It squares the amount you scaled it by.</u>

<h3>Step-by-step explanation:</h3>

For example, imagine that you had 2 by 2 square, and then you put it through a scale factor of 2.

Now each side length would be double of what it once was.

But when you multiply the new lengths together, the area would be of 4 times more.

(Original Equation)  2 * 2 = 4

(Scale Factor of 2)   4 * 4 = 16

So when the scale factor is made, the area would be squared to the multiple that you scaled it by.

<em>***A square root is a number times itself.</em>

<em>(eg): 3 * 3 = </em><em>9</em>

<em>        15 * 15 = </em><em>225</em>

<em>9 and 225 would be the square root in these problems.</em>

7 0
3 years ago
Maths Watch
aivan3 [116]

Answer:

£2121.80 he would have earned £121.80

Step-by-step explanation:

2000 × 1.03 = £2060

2060 × 1.03 = £2121.80

(2 Year's)

£2121.80 - £2000 = £121.80

3 0
3 years ago
Find the angle between the given vector in degrees. u=&lt;6, 4&gt;, v=&lt;7, 5&gt; HELPPPPPPPPPP
Paladinen [302]

Recall that

\vec a\cdot\vec b=\|\vec a\|\|\vec b\|\cos\theta

where \theta is the angle between the vectors \vec a,\vec b whose magnitudes are \|\vec a\|,\|\vec b\|, respectively.

We have

\langle6,4\rangle\cdot\langle7,5\rangle=\sqrt{6^2+4^2}\sqrt{7^2+5^2}\cos\theta

\cos\theta=\dfrac{31}{\sqrt{962}}\implies\theta\approx88.2^\circ

7 0
2 years ago
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