All categories

3 years ago

An object is launched at 29.4 meters per

Mathematics

1 answer:

Yuri [45]3 years ago

8 0

Answer:

34.3 meters

Step-by-step explanation:

The generic equation for a movement with constant acceleration is:

S = So + Vo*t + (a*t^2)/2

Where S is the final position, So is the inicial position, Vo is the inicial speed, a is the acceleration and t is the time.

If we compare with our equation (where x is the time and f(x) is the final distance), we have that:

So = 34.3

Vo = 29.4

a = -9.8

So we have that the inicial position (So) of the object is 34.3 meters

You might be interested in

Write the ratio as a fraction in simplest form. <br><br> 4 : 40

Alenkinab [10]

The Answer To This Would 1 : 10 Because You Have To Divide Both By 4 So 4 Divided By 4 Gives You 1 And 40 Divided By 4 Gives You 10

~ Hope This Helps :)

3 0

3 years ago

Read 2 more answers

The Ferris wheel shown makes 16 revolutions per ride. How far would someone travel during one ride? Round your final answer to t

sertanlavr [38]

Complete question :

The diameter of the ferris Given is 63 feets

Answer:

3165 feets

Step-by-step explanation:

Given that :

Diameter of ferris = 63 feets

Recall :

Circumference of a circle = 2 * pi * Radius

Circumference = pi * d

Hence,

Circumference of wheel = 3.14 * 63 = 197.82 feets

Distance traveled during one ride :

Circumference of wheel * number of revolutions

197.82 * 16 = 3165.12

= 3165 feets (nearest whole number)

4 0

3 years ago

What is the simplified form of the following expression?

USPshnik [31]

Option C:

$$\frac{\sqrt[3]{100 x}}{5}=\sqrt[3]{\frac{4 x}{5}}$

Solution:

Given expression is

$$\sqrt[3]{\frac{4 x}{5}}$

Note: $\sqrt[3]{125}=\sqrt[3]{{5^3}} = 5$

To find the correct expression for the above simplified expression.

Option A: $\frac{\sqrt[3]{4 x}}{5}$

5 can be written as $\sqrt[3]{125}$ .

$$\frac{\sqrt[3]{4 x}}{5}=\frac{\sqrt[3]{4 x}}{\sqrt[3]{125} }$

$$=\sqrt[3]{\frac{4x}{125} }$

It is not the given simplified expression.

Option B: $\frac{\sqrt[3]{20 x}}{5}$

$$\frac{\sqrt[3]{20 x}}{5}=\frac{\sqrt[3]{20 x}}{\sqrt[3]{125} }$

$$=\sqrt[3]{\frac{20x}{125} }$

Cancel the common factor in both numerator and denominator.

$$=\sqrt[3]{\frac{4x}{25} }$

It is not the given simplified expression.

Option C: $\frac{\sqrt[3]{100 x}}{5}$

$$\frac{\sqrt[3]{100 x}}{5}=\frac{\sqrt[3]{100 x}}{\sqrt[3]{125} }$

$$=\sqrt[3]{\frac{100x}{125} }$

Cancel the common factor in both numerator and denominator.

$$=\sqrt[3]{\frac{4 x}{5}}$

It is the given simplified expression.

Option D: $\frac{\sqrt[3]{100 x}}{125}$

$$\frac{\sqrt[3]{100 x}}{125}=\frac{\sqrt[3]{100 x}}{5^3}$

It is not the given simplified expression.

Hence Option C is the correct answer.

$$\frac{\sqrt[3]{100 x}}{5}=\sqrt[3]{\frac{4 x}{5}}$

3 0

3 years ago

Slope of (-7,-2) (9,4)

Olenka [21]

Answer:

m= $\frac{3}{8}$

Step-by-step explanation:

1. Use the slope equation to solve the problem

$\frac{y_{2} -y_{1}}{x_{2} -x_{1} }$

2. Plug in your values into the equation.

$\frac{4-(-2)}{9-(-7)}$

3. Simplify the equation.

m= $\frac{3}{8}$

4 0

3 years ago

Which line has an equation of y=-5x+4 in slope-intercept form?

Lady bird [3.3K]

<span>D: a line passing through the points (2, –6) and (4, –16)</span>

4 0

3 years ago