Ask question

Ask question

All categories

3 years ago

5

Estimate 137,638 to the nearest whole number

1 answer:

Tamiku [17]3 years ago

6 0

The answer would be 140,000 :)

You might be interested in

Suppose that y = k * (x - 1/3) ^ 2 is a parabola in the xy -plane that passes through the point (2/3, 1) :Find k and the length

Dennis_Churaev [7]

Answer:

k = 9

length of chord = 2/3

Step-by-step explanation:

Equation of parabola: $y=k (x-\frac13)^2$

<u />

<u>Part 1</u>

If the curve passes through point $(\frac23 ,1)$ , this means that when $x=\dfrac23$ , $y = 1$

Substitute these values into the equation and solve for $k$ :

$\implies 1=k \left(\dfrac23-\dfrac13\right)^2$

$\implies 1=k \left(\dfrac13 \right)^2$

Apply the exponent rule $\left(\dfrac{a}{b} \right)^c=\dfrac{a^c}{b^c}$ :

$\implies 1=k \left(\dfrac{1^2}{3^2} \right)$

$\implies 1=\dfrac{1}{9}k$

$\implies k=9$

<u>Part 2</u>

The chord of a parabola is a line segment whose endpoints are points on the parabola.

We are told that one end of the chord is at $(\frac23 ,1)$ and that the chord is horizontal. Therefore, the y-coordinate of the other end of the chord will also be 1. Substitute y = 1 into the equation for the parabola and solve for x:

$\implies 1=9 \left(x-\dfrac13 \right)^2$

$\implies \dfrac19 = \left(x-\dfrac13 \right)^2$

$\implies \sqrt{\dfrac19} = x-\dfrac13$

$\implies \pm \dfrac13 = x-\dfrac13$

$\implies x=\dfrac23, x=0$

Therefore, the endpoints of the horizontal chord are: (0, 1) and (2/3, 1)

To calculate the length of the chord, find the difference between the x-coordinates:

$\implies \dfrac23-0=\dfrac23$

**Please see attached diagram for drawn graph. Chord is in red**

6 0

2 years ago

Badel has 120 cm³ of water he wants to pour into a rectangular base that is 4 cm high 40 mm wide and 5 cm long will all the wate

Elenna [48]

Yes all the water will fit and more because to find a volume of an object you multiple the height x length x width and in this case when all of it is calculated the base could hold 800 cm3 of water

4 0

4 years ago

Which expression represents a number that is 4 times as great as the quotient of 25 and 5? A. ( 25 × 5 ) × 4 B. 4 ÷ ( 25 × 5 ) C

oksano4ka [1.4K]

Answer:

It would be D.

4 0

3 years ago

Read 2 more answers

60731903239__8DEE49CD-5BBC-40E2-A8F5-59B32FE3879C.jpeg

Sergio [31]

Answer:No

Step-by-step explanation:

4 0

3 years ago

What is the distance between point A and point B?

DIA [1.3K]

The answer is possibly 10

4 0

3 years ago

Read 2 more answers