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4 years ago

5

Jason jumps from a plane at an altitude of 1000 m. His parachute opens after 10 seconds. The graph shows the relationship betwee

n the distance traveled and time. How far does he fall in 1 minute and 40 seconds

1 answer:

Sauron [17]4 years ago

4 0

Gravity pulls you to earth at velocity of 9.8 m/s. In the first 40 seconds, Jason would fall (9.8) x (40) = 392 meters.

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Let f(x)=x+8and g(x)=x^2-6x-7. Find f(g(2))

posledela

The answer is a. -7

1. Find g(2).

2. Find f(g(2)).

g(x) = x² - 6x - 7

x = 2 ⇒ g(2) = ?

g(2) = 2² - 6·2 - 7 = 4 - 12 - 7 = -15

2. f(x) = x + 8

g(2) = -15

f(g(2)) = f(-15) = -15 + 8 = -7

3 0

3 years ago

Determine by inspection two solutions of the given first-order ivp. y' = 5y4/5, y(0) = 0

qaws [65]

solution:

Consider the equation,

Y=5y4/5, y(0) =0

The initial condition y(0) =0 given that the graph of the solution curves will pass through the origin.

Consider the curve y = 0,

Passing through the origin

Substitute y= 0 in y’ = 5y4/5

0=0 balenced the equation

Therefore y = o is a solution curve of the given differential equation

Consider the curve y = x,

Passing through the origin.

Substitute y = x in y’ = 5y4/5

(x’) = 5x4/5

1 = 5x4/5 not balanced the equation

Therefore, y = x is not a solution curve of the given differential equation.

Now consider y = x³ passing through the origin

Substitute y = x³ in y’=5y4/5

(X3) = 5(X³) 4/5

3x² = 5x12/5 not balanced the equation

Therefore y = X³ is not a solution curve of the given differential equation

Now consider y = X⁴ passing through the origin

Substitute y = X⁴ in y’ = 5y4/5

(X⁴)’ = 5(X⁴)4/5

4x³ = 5x16/5 not balanced the equation

Therefore y = X⁴ is not a solution curve of the given equation,

Now, y = x⁵ passing through the origin

Substitute y = x⁵

Y’ = 5y4/5

(X⁵) = 5(x5)4/5

5x⁴=5x⁴ balanced the equation

Therefore y= x⁵ is a solution curve of the given differential equation

Therefore, the two solution are y =0

Y = x⁵

The constant solution is y = 0

And the polynomial solution is y = x⁵

3 0

3 years ago

A 10-foot ladder is leaning against a tree. The bottom of the ladder is 4 feet away from the bottom of the tree. Approximately h

strojnjashka [21]

Answer:

C

Step-by-step explanation:

If we were to draw a horizontal line from the bottom of the ladder to the bottom of the tree and then draw a vertical line from the bottom of the tree to the top of the ladder, we'd get a right triangle with legs as the distance between the bottom of the tree and the bottom of the ladder and the height of the ladder, and the hypotenuse is the length.

Here, we know the hypotenuse is 10 feet and that the bottom of the ladder is 4 feet away from the bottom of the tree, so use the Pythagorean Theorem to find the height:

h = $\sqrt{10^2-4^2} =\sqrt{84}$ ≈ 9.2 feet

The answer is C.

7 0

3 years ago

Read 2 more answers

Graph y=X^2-3x+4. Find the axis of symmetry and the vertex

horrorfan [7]

The coordinates of the vertex are (1.5, 1.75) and the axis of symmetry is at x = 1.5.

We can find the vertex by using the formula for finding x-coordinates. The formula for the x-coordinate of a vertex is below.

-b/2a

In this equation, a is the coefficient of the x^2 term (1) and b is the coefficient of the x term (-3). Then we can plug in to find the x term.

-(-3)/2(1)

3/2

1.5

Now that we have this term, we can plug it in for all values of x to find the y term.

x^2 - 3x + 4

1.5^2 - 3(1.5) + 4

2.25 - 4.5 + 4

1.75

Now we know that the vertex is at (1.5, 1.75). Now finding the axis of symmetry is easy because the axis of symmetry in any quadratic is simply x = [x-coordinate of vertex]. So in this case it would be x = 1.5.

4 0

4 years ago

Simplify the following to an expression involving a single<br> trig function with no fractions.

Verizon [17]

Answer

Step-by-step explanation:

cos x

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4 years ago