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2 years ago

15

C. What patterns do you notice in the list of fractions 1/5, 1/25, 1/125, 1/625, 1/3125 ?

1 answer:

kozerog [31]2 years ago

5 0

Answer: Each of them has a 1 as the numerator and the denominators all end in 5.

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The height of the tunnel at the center is 35ft, and the vertical clearance must be 21 ft at a point of 8ft from the center. Find

Zinaida [17]

Answer:

y=-0.215x^2+35

Step by Step:

Let, $h=0$ , $k=35$ , $x=8$ , $y=21$

We know that, the general equation of the parabola.

$y-k = a(x-h)^2$

$\Rightarrow y=a(x-h)^2+k .........(i)$

Substitute the value of $h, k, x, y$ in equation $(i)$ and find the value of $a.$

$21=a(8-0)^2+35$

$\Rightarrow 21=a\times 8^2+35$

$\Rightarrow 21=64a+35$

$\Rightarrow 64a=21-35$

$\Rightarrow 64a=-14$

$\Rightarrow a=\frac{-14}{65}$

$\Rightarrow a=-0.215$

Hence, the equation of the parabola is:

$y=-0.215x^2+35$

8 0

2 years ago

8. Which number's underlined digit is worth 2?<br> 5,738<br> 8,888<br> 402<br> 6,100

pentagon [3]

Answer:

402

Step-by-step explanation:

No number is shown with an underlined digit.

Only the number 402 has 2 in it that is in the units place. That digit has a value of 2.

5 0

2 years ago

Read 2 more answers

If a tank holds 5000 gallons of water, which drains from the bottom of the tank in 40 minutes, then Torricelli's Law gives the v

pochemuha

Answer:

V'(t) = $-250(1 - \frac{1}{40}t)$

If we know the time, we can plug in the value for "t" in the above derivative and find how much water drained for the given point of t.

Step-by-step explanation:

Given:

V = $5000(1 - \frac{1}{40}t )^2$ , where 0≤t≤40.

Here we have to find the derivative with respect to "t"

We have to use the chain rule to find the derivative.

V'(t) = $2(5000)(1 - \frac{1}{40} t)d/dt (1 - \frac{1}{40}t )$

V'(t) = $2(5000)(1 - \frac{1}{40} t)(-\frac{1}{40} )$

When we simplify the above, we get

V'(t) = $-250(1 - \frac{1}{40}t)$

If we know the time, we can plug in the value for "t" and find how much water drained for the given point of t.

4 0

3 years ago

111=13, 113=35, 115=57, 117=?

Elden [556K]

In the pattern, the values are increasing by 22 each time so for the 117th term you take 57 + 22 = 79

So, 117= 79

3 0

2 years ago

Use cross products to solve the proportion. equation 1. Use cross products: (4)(12) = 3x 2. Multiply: 48 = 3x 3. Divi

Yuliya22 [10]

Answer:

its 16 on edge

Step-by-step explanation:

4 0

2 years ago

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