Given the graph below, what is f(5)? * 3 points (3x)

Write each situation as a rate.

Zarrin [17]

Answer:

john travels 50 mph

Cameron eats 2.5 apples everyday

Step-by-step explanation:

This is what I got when searching for it

6 0

3 years ago

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How do you make an exponential equation with these two points: (1,2) and (0.5,4)

Over [174]

The required equation is y=8×( $( \frac{1}{2} )^{x}$

Step-by-step explanation:

Given,

The two points are (1,2) and (0.5,4)

To find the exponential equation of these given points.

Formula

The general form of exponential equation is y = $ab^{x}$ where, A and B are any real number.

$\frac{x^{m} }{x^{n} } = x^{m-n}$

Now, the points satisfy the equation.

So,

2 = $ab^{1}$ ------- (1) and

4 = $ab^{0.5}$ ------ (2)

Now (1) ÷ (2) we get,

$\frac{ab }{ab^{0.5} }$ = $\frac{2}{4}$

or, $b^{0.5}$ = $\frac{1}{2}$

or, b = $\frac{1}{4}$ [ by squaring we get]

Now, from (1) we get,

2 = a× $\frac{1}{4}$

or, a = 8

Hence,

The equation is y=8×( $( \frac{1}{2} )^{x}$

4 0

3 years ago

A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks along the x-axis from the spotlight toward the bui

tester [92]

Answer:

(dy/dt) = - 0.45 m/s (the minus sign indicates that the height of the shadow decreases as the man moves towards the wall).

Step-by-step explanation:

An image of the problem is presented in the attached file to this solution. The image shows the exact moment when the 2m tall man is 4m away from the wall.

First of, when the man is 4m away from the wall, he is 8m away from the spotlight, that is, x = 8m

Using the concept of similar triangles, we can obtain the value of y at this point.

(x/2) = [(x+4)/y]

x = 8

(8/2) = (12/y)

y = 3m when x = 8m

From the image,

But generally, for x and y at any point,

(x/2) = (12/y)

xy = 24

Differentiating with respect to t

(d/dt)(xy) = (d/dt)12

y (dx/dt) + x (dy/dt) = 0

x (dy/dt) = - y (dx/dt)

At x = 8m, y = 3m, (dx/dt) = 1.2 m/s

8 (dy/dt) = - 3 (1.2)

(dy/dt) = - 3.6/8 = - 0.45 m/s

The minus sign indicates that the height of the shadow decreases as the man moves towards the wall.

7 0

3 years ago

Given the diagram below, what is cos(45")? 45° 6 A. √2 B. 6/√2 C. 1/√2 D. 3√2

Gnesinka [82]

C. 1/root2

Based on the information, the hypotenuse will be 6root2 because it is a 45, 45, 90 triangle. The two legs will be 6. Using SOH CAH TOA, we know that for cosine, it will be adjacent/hypotenuse. The adjacent side is 6 and the hypotenuse is 6root2. The result will be (6)/(6root2). After simplifying, we get
1/root2.

3 0

1 year ago

If a laptop computer regularly costs $979 and is on sale for $679, what percentage discount is being given? Round your answer to

Lady_Fox [76]

Answer:

Look at the attachment

4 0

2 years ago

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