Remember : anything can be graphed using an ______

Answer:

Domain → x > 0

Solution → x = 100

Step-by-step explanation:

Given equation is,

[tex]x^{0.5\text{logx}}=0.01x^2[/tex]

Since, log of any number 'x' is defined when x > 0

Therefore, domain of the equation → x > 0

By taking log on both the sides of the equation,

[tex]\text{log}(x^{0.5\text{logx}})=\text{log}(0.01x^2)[/tex]

0.5(logx)(logx) = log(0.01) + log(x²)

0.5(logx)²= -2 + 2log(x)

Let log(x) = a

Then the equation becomes as,

0.5a² = -2 + 2a

0.5a² - 2a + 2 = 0

a² - 4a + 4 = 0

(a - 2)² = 0

a = 2

Since, a = log(x)

log(x) = 2

x = 10²

x = 100

Therefore, solution of the given equation is x = 100.

[tex]\boxed{\boxed{\pink{\tt \leadsto The \ domain \ of \ x \ is \ (0,\infty ). }}}[/tex]

A equation is given to us and need to find the domain of the equation . So , given equation is ,

[tex]\bf\implies x^{0.5\:log\ x } = 0.01x^2 [/tex]

Now , let's simplify this equation to find the domain of x .

[tex]\bf\implies x^{0.5\:log\ x } = 0.01x^2 \\\\\bf\implies x^{0.5\:log\ x } -0.01x^2 =0 \\\\\bf \implies x^{log \:x^{\frac{1}{2}}} - 0.01x^2=0 \\\\\bf\implies x^{log \ \sqrt{x}} - 0.01x^2=0 [/tex]

Now set the argument in log( √x) Greater than or equal to zero to see where the expression is defined. Since the value of log is non - negative.

[tex]\bf\implies \sqrt{x} > 0 \\\\\bf\implies (\sqrt{x})^2>0^2 \\\\\bf\implies x>0\\\\\bf\implies \boxed{\red{\bf x \in ( 0, \infty ) }}[/tex]

In set builder Notation we can write as ,

[tex]\boxed{\red{\bf \{ x | x > 0 \} }}[/tex]

Answer:

47

Step-by-step explanation:

Answer:

x = 63

Step-by-step explanation:

180 = 47 + 70 + x

180 = 117 + x

180 - 117 = x

63 = x

Answer:

The answer is C

Step-by-step explanation:

How do I know?

Well first you have to see where it is going with this. It is negative no? so cross out the postive numbers. Then you are left with infinite and (-4,-8). Now do you see the pattern. -4, -4, -8. It will not go to infinite so cross out that. Now what are you left with? That's right (-4,-8)

 Please don't forget to mark me brainliest.

Step-by-step explanation:

area of rectangle= x ( x +2 ) = 24

X2 + 2X = 24

X 2 +2X _24 = 0

(X +6 ) ( X _4 ) = 0

X= 4

X= - 6.......refused

side length of rectangle is 4 , 6

perimeter= 2( 4+6) = 20 Cm

The side lengths are 4cm , 6cm and perimeter of rectangle is 20cm.

The perimeter of a rectangle is the sum of its four sides. Hence,

Perimeter of Rectangle = 2 (Length + Width) units.

The area of the space occupied within the perimeter of a rectangle is called the area of a rectangle. It is calculated by finding the product of the length and breadth of the rectangle.

Area of rectangle = Length * Breath

According to the question

Area of a rectangle =  24 square centimeters

Side length  = x+ 2

Side Breath  = x  

Now,

a>  using Formula of Area of rectangle

Area of rectangle = Length * Breath

substituting the value

24 = x * (x+2 )

24 = [tex]x^{2} +2x[/tex]

[tex]x^{2} +2x[/tex] - 24 = 0

[tex]x^{2} + (6-4)x -24 =0[/tex]

(x +6 ) (x-4) = 0

x = -6 , +4

side cannot be negative

Therefore

Breath  of rectangle (x) = 4 cm

Length of rectangle (x+2) = 6 cm

b> Perimeter of the rectangle  = 2 (Length + Breath) units.

substituting the value

Perimeter of the rectangle  = 2 ( 4 + 6 )  

                                               = 20 cm

Hence, The side lengths are 4cm , 6cm and perimeter of rectangle is 20cm.

To know more about perimeter and area of rectangle here:

https://brainly.com/question/16572231

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Answer:

domain is x = 3

Thus domain means that for every fruit cup costs $3

Range is f(20) = 60

Step-by-step explanation:

We are given;

Total students for the fruit cup party = 18

Total teachers for the fruit cup party = 2

Cost of each fruit cup =$ 3

Delivery charge = $ 10

Now, the total number of people attending the party = Total number of students + Total number of teachers

Thus;

Total number of people attending party = 18 + 2 = 20

Since cost of each fruit cup is $3.

Thus, for 20 fruit cups, the function is;

f(x) = 20x where x is cost of each fruit cup.

It means the cost of 20 fruit cups = $3 × 20 = $60

Thus, domain is x = 3

Thus domain means that for every fruit cup costs $3

Range is f(20) = 60

Answer:

$9.55

Step-by-step explanation:

152.80/8=19.10-what he makes per hour

19.10/2=9.55 what he makes for half an hour

Answer:

19.1 I think is the answer I am not sure

Step-by-step explanation:

Answer:

it has 2 lines of symmetry 1 going across it diagonally and 1 going straight through the middle.

Step-by-step explanation:

Answer:

Total boxes= 75

Step-by-step explanation:

Giving the following information:

A baseball bat factory produces 24,000 bats per day and uses 50 boxes for packing the bats.

First, we need to determine the number of bats that fits into a box:

Bats per box= 24,000 / 50

Barts per box= 480

Now, the number of boxes for 36,000 bats:

Total boxes= total bats / bats per box

Total boxes= 36,000/480

Total boxes= 75

Answer:75

Step-by-step explanation:

Bats 24000/50

Box 480

Answer:

Eq 1) x^2 + x - 6

Factors are : x-2(x+3)

Eq 2) 2x^2 + 4x + 0

Factor out 2x

Factors are: 2x(x+2)

Answer: 2x(to the fourth power) + 6x (to the third power) - 8x (to the second power) - 24x

Step-by-step explanation:

Given that,

An oil company fills 1 over 10 of a tank in 1 over 5 hour.

To find,

How long it will take for the tank to fill completely.

Solution,

Let it takes t time to fill the tank completely. It can be calculated as follows :

[tex]t=\dfrac{\dfrac{1}{10}}{\dfrac{1}{5}}\ \text{hours}\\\\=\dfrac{1}{10}\times 5\ \text{hours}[/tex]

Hence, the rate is "1 over 10 • 5 hours ". The correct option is (b).

Answer:

10

Step-by-step explanation:

½ x + 5 = 10

½ x = 10 – 5

x = 5 x 2

x = 10

follow my account ^^

Answer:

I am sorry I just saw the question!

Answer:

7.2 miles

Step-by-step explanation:

Janet hikes a trail 3.6 miles long each day. Considering the forth and back path, she trails 2*3.6= 7.2 miles.

Since she has hiked 5 days in the past week, she has hiked 5*7.2 = 36 miles.

The question does not specify if the path back is to be considered. If not, then the total distance traveled is 3.6*5 = 18 miles.

Answer:

-7n - 3

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define Expression

5n - 3(4n + 1)

Step 2: Simplify

Answer:

x = 3

4^2 + x^2 = 5^2

solve for x

16 + x^2 = 25

x^2 = 25-16

x^2 = 9

sqrt of x^2 = 3

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Hope this helps! If so, please mark my answer as brainliest!

Answer:

G

Step-by-step explanation:

I think its G because i counted the numbers...and i pretty sure its not a Negative so yah

Answer : 2.5 cups per dollar

Step-by-step explanation:

You need to find to unit rate 4 cups divided by 10$ is 0.40$. Then you need to divided 0.40 into a dollar (which would be 1.00) so 1.00 divided by 0.40 is 2.5 cups

Answer: 2/3x + 15

Step-by-step explanation:

(⅚x + 10) - (⅙x -5)

The first thing to do here is to open the bracket. This will be:

= ⅚x + 10 - ⅙x + 5

= ⅚x - ⅙x + 10 + 5

= 4/6x + 15

= 2/3x + 15

Answer:

$53.06

Step-by-step explanation:

Answer:

$53.06

Step-by-step explanation:

Answer:

1,184.00

Step-by-step explanation:

used a calculator

Explanation:

Despite there only being one line shown, there are actually two lines here. One just happens to be directly on top of the other.

We can see this by noting that 2y = 3x-1 turns into 4y = 6x-2 when we multiply both sides by 2. Multiplying both sides by the same number keeps the same equation, so that's why we have identical graphs.

The two identical graphs intersect each other infinitely many times, leading to infinitely many solutions. All solutions are (x,y) points on the blue line. Two such solutions are (1,1) and (3,4). All solutions are of the form [tex]\left(x, \frac{3x-1}{2}\right)[/tex]

Answer:

Yes

Step-by-step explanation:

87 is higher than 73

For your question: "Last year, Mr. Smith's biology class averaged 73 on their first test. This year, his new class averaged 87 on the

same test. Based on these results, is it reasonable to conclude that this year's class is more intelligent?"

The answer would be E

Answer:

I hope this helps:)

Step-by-step explanation:

Answer:

Step-by-step explanation:

54

Answer:

$40

Step-by-step explanation: