John always wears a shirt, pants, socks, and shoes. He owns

What is the value of n in the equation 1/2 (n – 4) – 3 = 3 – (2n + 3)?

Mrac [35]

Answer:

n=2

Step-by-step explanation:

Step 1 :

1

Simplify —

2

Equation at the end of step 1 :

1

((— • (n - 4)) - 3) - -2n = 0

2

Step 2 :

Equation at the end of step 2 :

(n - 4)

(——————— - 3) - -2n = 0

2

Step 3 :

Rewriting the whole as an Equivalent Fraction :

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 2 as the denominator :

3 3 • 2

3 = — = —————

1 2

8 0

4 years ago

On a vacation in Puerto Rico rose jumped off a cliff into a river in El Yunque go forest reserve her height as a function of tim

gayaneshka [121]

Answer: t = 6 s

Step-by-step explanation:

When Rose hit the water, the height of the jump is 0, so: h(t) = 0.

Resolving it, we have:

-16t² + 16t + 480 = 0

To simplify the second degree equation, divided it by 16:

-t² + t + 30 = 0

Now, solve the equation using Bhaskara:

Δ = 1² - 4. (-1) . 30

Δ = 1 + 120

Δ = 121

t = $\frac{-1+\sqrt{121} }{-2}$

t₁ = $\frac{-1 + 11}{-2}$ = - 5

t₂ = $\frac{-11-11}{-2}$ = 6

Since time can be negative, it took t = 6s for Rose to hit the water.

6 0

3 years ago

What is the length of the dotted line in the diagram below? Leave your answer in

Andru [333]

Answer:

30

Step-by-step explanation:

6 0

3 years ago

Please help me find the monthly payment using that formula for this car thank you.

Annette [7]

The monthly pay is 7,999 dollars and the formula is under the place where it says "monthly pay"

4 0

3 years ago

Read 2 more answers

The joint density function for a pair of random variables X and Y is given. f(x, y) = Cx(1 + y) if 0 ≤ x ≤ 4, 0 ≤ y ≤ 4 0 otherw

frozen [14]

Answer:

A) C = 1/96

B) P(x<=1, y<=1) = 1/128 or 0.0078125 to 7 places

C) P(x+y<=1) = 5/2305, or 0.0021701 to 7 places

Step-by-step explanation:

f(x,y) = C x (1+y)

A)

To find C, we need to integrate the volume under region bound by

0 <= x <= 4, and

0 <= y <= 4

This volume equals 1.0.

Find integral,

int( int(f(x,y),x=0,4), y = 0,4) = 96C

therefore C = 1/96

or

F(x,y) = x (1+y) / 96 ............................(1)

B)

P(x<=1, y<=1)

Repeat the integral, substitute the appropriate limits,

P = int( int(F(x,y),x=0,1), y = 0,1)

= 1/128 or 0.0078125

P(x<=1, y<=1) = 1/128 or 0.0078125 to 7 places

C)

P(x+y<=1)

From the function, we know that this is going to be less than one half of the probability in (B), closer to 1/4 of the previous.

It will be again a double integral, as follows:

P = int( int(F(x,y),x=0,1-y), y = 0,1)

= 5/2304

= 0.0021701 (to 7 decimals)

P(x+y<=1) = 5/2305, or 0.0021701 to 7 places

8 0

4 years ago