All categories

3 years ago

How do I simplify the radical expression. √8-4√2

Mathematics

1 answer:

WITCHER [35]3 years ago

3 0

√8 = √(4x2) = 2√2

4√2 =4√2

2√2-4√2 = -2√2

You might be interested in

Omar wants to open an account for his grandchildren that he hopes will have

olga_2 [115]

Using compound interest, it is found that he must deposit $56,389.

Compound interest:

$A(t) = P(1 + \frac{r}{n})^{nt}$

A(t) is the amount of money after t years.
P is the principal(the initial sum of money).
r is the interest rate(as a decimal value).
n is the number of times that interest is compounded per year.
t is the time in years for which the money is invested or borrowed.

In this problem:

Hopes to have $80,000 in 20 years, thus $t = 20, A(t) = 80000$ .
Interest rate of 1.75%, thus $r = 0.0175$ .
Compounding monthly, thus $n = 12$
The investment is of P, for which we have to solve.

Then:

$A(t) = P(1 + \frac{r}{n})^{nt}$

$80000 = P(1 + \frac{0.0175}{12})^{12(20)}$

$P = \frac{80000}{(1 + \frac{0.0175}{12})^{12(20)}}$

$P = 56389$

He must deposit $56,389.

A similar problem is given at brainly.com/question/25263233

4 0

2 years ago

Jaskson kitten weghed 2 pound

Helen [10]

umm what the rest of the question

4 0

3 years ago

This is my last question please help asap!!

Ivanshal [37]

The average rate of change of function $g(x)=5(2)^{x}$ from x = 3 to x = 4 is 4 times that from x = 1 to x = 2.

The correct option is (A).

What is the average rate of change of a function?

The average rate at which one quantity changes in relation to another's change is referred to as the average rate of change function.

Using function notation, we can define the Average Rate of Change of a function f from a to b as:

$rate(m) = \frac{f(b)-f(a)}{b-a}$

The given function is $g(x) = 5(2)^{x}$ ,

Now calculating the average rate of change of function from x = 1 to x = 2.

$m = \frac{g(b)-g(a)}{b-a}\\ m = \frac{g(2)-g(1)}{2-1}\\\\m=\frac{5(2)^{2}-5(2)^1}{2-1}\\ m=\frac{10}{1} \\m=10$

Now, calculate the average rate of change of function from x = 3 to x = 4.

$m = \frac{g(b)-g(a)}{b-a}\\ m = \frac{g(4)-g(3)}{4-3}\\\\m=\frac{5(2)^{4}-5(2)^3}{4-3}\\ m=\frac{40}{1} \\m=40$

The jump from m = 10 to m = 40 is "times 4".

So option (A) is correct.

Hence, The average rate of change of function $g(x)=5(2)^{x}$ from x = 3 to x = 4 is 4 times that from x = 1 to x = 2.

To learn more about the average rate of change of function, visit:

brainly.com/question/24313700

#SPJ1

7 0

1 year ago

I need some help please

muminat

Answer: 113.0 ft (bottom right corner)

=====================================

Explanation:

The triangle has a horizontal leg of 220 ft and a vertical leg of x ft. We'll use the tangent rule to connect the opposite side and adjacent side

opposite side = x
adjacent side = 220
this is with the reference angle shown in the diagram

So,
tan(angle) = opposite/adjacent
tan(26) = x/220
220*tan(26) = x
x = 220*tan(26)
x = 107.301169 ... see note below
x = 107.3

Now that we know the approximate value of x, we add on 5.7 to get
x+5.7 = 107.3+5.7 = 113.0

note: make sure your calculator is in degree mode. The value is approximate to 6 decimal places

3 0

3 years ago

HELP ME WITH THIS PLZZZZ

CaHeK987 [17]

Answer: 17

It’s 17 because they are the same shape and size just are flipped

5 0

2 years ago