Simplify

Answer:
Well, you can change this to (a^3/4)(a^3/4), which is equal to a^6/16, because a^3 times a^3=a^6, and 4 times 4=16.

I hope this helps!

-Raiden

I hope this helps!

-Raiden

Answer:
Multiply the exponents in (a^3/4)^2 =a^3/2 simplified

Which items are NOT substitute goods?apples and orangesjars and sealable bagsan automobile and a dump trucka slice of pizza and a hamburger

One ticket is drawn at random from each of the two boxes.(A) 1 2 3 4 5(B) 1 2 3 4 5 6Find the chance that(a) one of the number is 2 and the other is 5(b) sum of the numbers is 7(c) one number is bigger than twice the other

Carl is balancing his checking account. After comparing the bank statement to his register, he notices an outstanding debit of $58.00.Which shows the correct amount in Carl’s checking account?$51.75$109.75$167.75$221.87

A.In a family with eight children, what is the probability there are at least six boys?(Hint: Add the three probabilities for either six, seven, or eight boys.)0.00390625b. 0.109375C. 0.03125d. 0.1445

What are 567 times 3

One ticket is drawn at random from each of the two boxes.(A) 1 2 3 4 5(B) 1 2 3 4 5 6Find the chance that(a) one of the number is 2 and the other is 5(b) sum of the numbers is 7(c) one number is bigger than twice the other

Carl is balancing his checking account. After comparing the bank statement to his register, he notices an outstanding debit of $58.00.Which shows the correct amount in Carl’s checking account?$51.75$109.75$167.75$221.87

A.In a family with eight children, what is the probability there are at least six boys?(Hint: Add the three probabilities for either six, seven, or eight boys.)0.00390625b. 0.109375C. 0.03125d. 0.1445

What are 567 times 3

**Answer: **500 miles

**Step-by-step explanation:**

**Given : **Sergio and Lizeth have planned to rent a car from a company that charges $75 a week plus $0.25 a mile.

i.e. Fixed charge= $75

Rate per mile = $0.25

Let x denotes the number of miles.

Then, Total charges = Fixed charge+ Rate per mile x No. of miles traveled

= $75+ $0.25x

To keep budget within $200, we have following equation.

**Hence, they can travel 500 miles and still keep within their $200 budget.**

Someone help me

**Answer:** The rectangular lot is 12x8 meters

**Step-by-step explanation:**__Perimeter__ of a geometric figure is the sum of all its sides.

A rectangle is a quadrilateral that has opposite sides parallel and equal, which means, and suppose l is length and w is width:

P = 2l + 2w

The perimeter of the lot is 40m, thus:

2l + 2w = 40

Area of a rectangle is calculated as:

A = length x width

The lot has area of 96, thus:

lw = 96

Solving the system of equations:

2l + 2w = 40 (1)

lw = 96 (2)

Isolate l from (1):

2l = 40 - 2w

l = 20 - w (3)

Substitute (3) in (2):

w(20-w) = 96

There are many methods to determine the roots of a quadratic equation. One of them is using the sum and product of those roots.

- Sum of the roots is given by:

sum = 20

- Product of the roots is:

prod = 96

The roots of the quadratic equation are numbers which the sum results in 20 and product is 96:

w₁ = 12

w₂ = 8

If we substitute w to find l, the numbers will be l₁ = 8 and l₂ = 12.

Since length is bigger than width, the rectangular lot Mang Jose has to plant mushrooms **measures 12m in length and 8m in width**

What is the distance between the top of the molehill and the burrow? Show your work.

**Answer:**

- 13 inches

**Step-by-step explanation:**

__The distance is the difference in top and bottom positions:__

- 4 - (-9) = 4 + 9 = 13 inches

**Answer:**

a) <f,g> = 2605/3

b) ∥f∥ = 960

c) ∥g∥ = 790

d) α = 90

**Explanation**

a) We calculate <f,g> using the definition of the inner product:

b) How

∥f∥ = <f,f> then:

∥f∥ =

c)

∥g∥ = <g,g>

∥g∥ =

d) Angle between f and g

<f,g> = ∥f∥∥g∥cosα

Thus

The answer to this **problem **involves applying integrals, norms, and concepts of angles between vectors to the functions f(x) and g(x). The INNER PRODUCT is the integral of the products of the two functions, the norms are the square roots of the inner products of the functions with themselves, and the angle between the functions is calculated using the dot product and norms.

To find the inner product 〈f,g〉, the norms ∥f∥ and ∥g∥, and the angle αf,g between the **functions **f(x)=−10x2−6 and g(x)=−9x−4, we'll apply concepts from vector calculus. The inner product (also known as the dot product) is the integral from 0 to 1 of the products of the two functions. The norm of a function is the square root of the inner product of the function with itself. The angle between two vectors in a Vector Space, in this case the space of continuous functions C0[0,1], is given by cos(α) = 〈f,g〉/( ∥f∥∙ ∥g∥). Integrating and solving these equations will give us the desired values.

#SPJ11

Q: Write expressions for each population if x represents the number of years

And What is the current population of dekalb?

**Answer:**

**Dekalb: 3500+40x = F**

**Sycamores : 12,040 - 100x = F **

**Step-by-step explanation:**

These expressions can be used to explain each population

X = number of years for both expression

F = Final population

Dekalb: 3500+40x = F

Sycamores : 12,040 - 100x = F

The current population if 3500 if no years have gone by, plug in the year of numbers for X to find final population after the amount of years.

**Answer:**

42.4 miles per day

**Step-by-step explanation:**

212 miles ÷ 5 (days) = 42.4 miles

which means Lena can go at the rate of

42.4 miles per day