Each lap around a park is 0.58 miles. Jessica walked 3.25 laps around the park. How many miles did Jessica walk around the park?

Need this answer ASAP!!

LuckyWell [14K]

Answer:

x + y = 83

Step-by-step explanation:

When it says opposite angles are supplementary and yo use A as a reference point it means

supplementary means they add to 180

so

A + C = 180

so

2x + 4 + 2y + 10 = 180

now simplify

2x + 2y + 14 = 180

- 14 -14

2x + 2y = 166

/2 /2

x + y = 83

5 0

3 years ago

A) What is the derivative of x^2 - 6x +36.

Aleks04 [339]

Answer:

2x-6

Step-by-step explanation:

5 0

4 years ago

Read 2 more answers

A rectangular box is to have a square base and a volume of 72 ft3. If the material for the base costs $0.62/ft2, the material fo

Igoryamba

Answer:

a. length = 0.7211 ft

b. width = 0.7211 ft

c. height = 140.3846 ft

Step-by-step explanation:

This is an optimiztion with restriction problem.

We have to minimize the cost, with the restriction of the volume being equal to 72 ft3.

As the cost for the sides is constant, we know that length and width are equal.

Then, we can express the volume as:

$V=x\cdot y\cdot z=x^2z=73$

being x: length and z: height

We can express the height in function of the length as:

$x^2z=73\\\\z=73x^{-2}$

Then, the cost of the box can be expressed as:

$C=0.62(x^2)+4*0.15(xz)+0.18(x^2)=(0.62+0.18)x^2+0.60xz\\\\C=0.8x^2+0.60x*x^{-2}=0.8x^2+0.6x^{-1}$

To optimize C, we derive and equal to zero

$\dfrac{dC}{dx}=\dfrac{d}{dx}[0.8x^2+0.6x^{-1}]=1.6x-0.6x^{-2}=0\\\\\\1.6x=0.6x^{-2}\\\\x^{1+2}=0.6/1.6=0.375\\\\x=\sqrt[3]{0.375} =0.7211$

The height z is then

$z=73x^{-2}=\dfrac{73}{0.7211^2}=\dfrac{73}{0.52}=140.3846$

6 0

3 years ago

The data in the tables below were collected from first year students at a community college. The variable is "number of credit c

Oliga [24]

Solution :

It is given that P(x) is said to be complete or proper probability distribution if it satisfies the following two ways :

1. $P(x) \geq 0$

2. $\sum_z P(x) = 1$

Now consider,

$\sum_z P(x) = 1$

⇒ $P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)=1$

⇒ $0.61+T+0.14+0.01+0.01+0.03=1$

⇒ $0.8+T=1$

⇒ $T=1-0.8$

= 0.2

Therefore, the value of T is 0.2

Thus, option (c) is correct.

7 0

3 years ago

I NEED HELP PLEASE! :)<br> thanks!

BigorU [14]

Add all the chips to find the total amount.

7 + 9 + 3 + 6 = 25 chips

Since there are 6 blue chips (6/25), that's the probability of just getting once.

When you pick a blue chip and it doesn't get replaced, then that means there is one fewer blue chip and one fewer from the total amount.

5/24

Multiply both probabilities.

6/25 * 5/24 = 30/600

Simplify.

30/600 → 1/20

Therefore, the answer is B

Best of Luck!

7 0

3 years ago