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1 year ago

A 45 kg skydiver has a speed of 25 m/s at an altitude of 950 meters above the ground. Determine the

Mathematics

1 answer:

Montano1993 [528]1 year ago

3 0

The kinetic energy possessed by the skydiver is 14, 062. 5 Joules

<h3>What is kinetic energy?</h3>

Kinetic energy of an object is defined as the energy possessed by an object due to its motion.

It is also described as the work that is required to accelerate a body of mass from rest to its given velocity.

The formula for calculating kinetic energy is expressed as;

Kinetic energy = 1/2 mv²

Where;

m is the mass of the object
v is the velocity of the object

Now, substitute the values

Kinetic energy = 1/2 (45)(25)²

Find the square

Kinetic energy = 1/2 (45)(625)

Find the product

Kinetic energy = 1/2(28125)

Find the quotient

Kinetic energy = 14, 062. 5 Joules

Hence, the value is 14, 062. 5 Joules

Learn more about kinetic energy here:

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A simple random sample of size nequals40 is drawn from a population. The sample mean is found to be 103.9, and the sample stand

yan [13]

Answer:

There is enough evidence to support the claim that the population mean is greater than 100

Step-by-step explanation:

Step 1: We state the hypothesis and identify the claim

$H_0:\mu=100$ and $H_1:\mu \:>\:100$ (claim)

Step 2: Calculate the test value.

$t=\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$

$\implies t=\frac{103.9-100}{\frac{21.9}{\sqrt{40} } }=1.1263$

Step 3: Find the P-value. The p-value obtained from a calculator is using d.f=39 and test-value 1.126 is 0.134

Step 4: We fail to reject the null hypothesis since P-value is greater that the alpha level. (0.134>0.05).

Step 5: There is enough evidence to support the claim that the population mean is greater than 100.

Alternatively: We could also calculate the critical value to obtain +1.685 for $\alpha=0.05$ and d.f=39 and compare to the test-value:

The critical value (1.685>1.126) falls in the non-rejection region. See attachment.

NB: The t- distribution must be used because the population standard deviation is not known.

5 0

4 years ago

Graph each linear equation y=-x-2

mixer [17]

Answer:

Alright well use the Graph line using the slope and the y-intercept, or two points

Slope: - 1

y - intercept: - 2

X: 0, 1

Y: - 2, - 3 Hope this helps :)

Step-by-step explanation:

3 0

3 years ago

Find the axis of symmetry and what direction the parabola opens. -1/4(y+4)=(x-3)²

MariettaO [177]

First, convert the equation to the standard equation of a parabola.
-1/4(y+4)=(x-3)^2 ---multiply -4 on both sides
y+4=-4(x-3)^2 ---subtract 4 on both sides
y=-4(x-3)^2-4
From the equation, we know that the parabola was moved by 3 to the right, because of (x-3)^2. So the axis of symmetry is x=3. Now look at the number in front of (x-3)^2. It is -4. Since it is negative, the parabola opens downwards.

7 0

4 years ago

Read 2 more answers

Hello there! Can I get someone help please ? Thanks!

natulia [17]

Since they are right triangles use Pythagorean Theorem.
a^2 + b^2 = c^2 where c is the hypotenuse.

a. 12^2 + b^2 = 13^2
144 + b^2 = 169
subtract 144 from both sides
b^2 = 25
take the square root of both sides
t = 5 This is also know as a Pythagorean Triple 5-12-13

b. a^2 + 9^2 = 12^2
a^2 + 81 = 144
subtract 81 from both sides
a^2 = 63
take the square root of both sides
a = √63
a = √(9 * 7)
a = 3√7

c. 6^2 + 9^2 = c^2
36 + 81 = c^2
117 = c^2
take the square root of each side
c = √117
c = √(9*13)
x = 3√13

4 0

4 years ago

12x - 10 2(6x - 5) 2(x - 5) 12 (x - 2) -2(6x + 5)

Rudik [331]

Answer:

12-10=2 / (6×5)=30 / 5×2=10 / 12×2=24 / 6+5-2=9

8 0

3 years ago