What is the sign of the product (3)(-3) and (2) (4)

The area of a square is 160x^5y^2. What is the length of one side?

Aleksandr [31]

------------------------------------------------------------------
Formula of area of square
------------------------------------------------------------------
Area of square = Length x Length
Area of square = Length2

------------------------------------------------------------------
Given information
------------------------------------------------------------------
Area of square = $160x^5y^2$

------------------------------------------------------------------
Find length
------------------------------------------------------------------
$length^2 = 160x^5y^2$
$length = \sqrt{160x^5y^2}$
$length = 4y\sqrt{10x^5}$

-----------------------------------------------------------------
$\Longrightarrow \ Answer: \boxed {\boxed{ 4y\sqrt{10x^5} }}
$
-----------------------------------------------------------------

5 0

3 years ago

5.3 Q4

barxatty [35]

The derivative of the function g(x) as given in the task content by virtue of the Fundamental theorem of calculus is; g'(x) = √2 ln(t) dt = 1.

<h3>What is the derivative of the function g(x) by virtue of the Fundamental theorem of calculus as given in the task content?</h3>

g(x) = Integral; √2 ln(t) dt (with the upper and lower limits e^x and 1 respectively).

Since, it follows from the Fundamental theorem of calculus that given an integral where;

Now, g(x) = Integral f(t) dt with limits a and x, it follows that the differential of g(x);

g'(x) = f(x).

Consequently, the function g'(x) which is to be evaluated in this scenario can be determined as:

g'(x) = $\int\limits^{e^x}_1 2 ln(t) dt$ = 1

The derivative of the function g(x) as given in the task content by virtue of the Fundamental theorem of calculus is; g'(x) = √2 ln(t) dt = 1.

Read more on fundamental theorem of calculus;

brainly.com/question/14350153

#SPJ1

8 0

1 year ago

The sum of the dibits of a two digit number is 15. The number obtained by interchanging its digits exceeds the given number by 9

QveST [7]

Answer:

78

Step-by-step explanation:

Interchanging the digits of a 2-digit number changes the value by a multiple of 9. The multiple is the difference between the digits of the number.

So, we have two digits that add to 15, and have a difference of 9/9 = 1. Since you're familiar with your addition facts, you know that the two digits are 7 and 8. Since the number we're looking for is the smallest of the numbers you can make with those digits, ...

the original number is 78.

_____

More formally, let t and o represent the tens and ones digits of the original number.

t + o = 15 . . . . . . the sum of digits is 15

(10o +t) - (10t +o) = 9 . . . . swapping digits increases the value by 9

The latter equation simplifies to ...

9o -9t = 9 . . . . collect terms

o - t = 1 . . . . . . divide by 9 . . . (note the difference of digits is 9/9=1)

Adding this to the first equation gives ...

(t +o) +(o -t) = (15) +(1)

2o = 16

o = 8

t = o -1 = 7

The tens digit is 7 and the ones digit is 8: 78.

3 0

2 years ago

What is the value of 1/16 times 16 plus negative 16 plus 16?

guapka [62]

Absolute value (no negatives)

1/16=.0625*16=1+16=17+16=33

7 0

3 years ago

Read 2 more answers

Roberto has 200 dollars in spending money. He wants to buy some video gamesthat cost 25. 50 each. Write and solve an inequality

harina [27]

Answer:

7

Step-by-step explanation:

200/25.50

7.8

.8 won't be a robot.

3 0

2 years ago