a line passes through the point (-4, 7) and has a slope of 5/4

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:

9

Step-by-step explanation:

18/2=9

Answer:

$88.3

Step-by-step explanation:

Here 42% of annual health premium($5450)=*5450

                                                                     =$2289

This amount is being paid by the company means it is deducted amount in one year.

One year has 26 paychecks so above amount divided by 26 is rebate amount in each paycheck.

Deducted amount=

                              =$88.30

Answer:

x = -11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

6(x - 1) = -72

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that -72 does indeed equal -72.

∴ x = -11 is a solution to the equation.

Answer:

x = - 11

Step-by-step explanation:

Given

6(x - 1) = - 72 ← divide both sides by 6

x - 1 =  - 12 ( add 1 to both sides )

x = - 11

Answer:

x-int: (-40, 0)

y-int: (0, 15)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the line on the graph, it passes the x-axis at x = -40 and it passes the y-axis at y = 15.

Therefore, our x-int is (-40, 0) and our y-int is (0, 15)

Answer:

$53.06

Step-by-step explanation:

Answer:

$53.06

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

the money increases hourly so A and C are wrong. and it is constant so the answer is B

Answer:

a. 754cm³ (3 s.f.)

b. 415cm² (3 s.f.)

Step-by-step explanation:

Formulas (for easier reference):

Volume of cone: [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]

Volume of hemisphere: [tex]\frac{2}{3}[/tex][tex]\pi[/tex]r³

Surface area of cone without base: [tex]\pi[/tex]rl

Surface area of hemisphere without base: 2[tex]\pi[/tex]r²

We can just apply the formulas for the question:

Volume of toy = ([tex]\pi[/tex] × 6² × [tex]\frac{8}{3}[/tex]) + ([tex]\frac{2}{3}[/tex] × [tex]\pi[/tex] 6³)

                        = 96[tex]\pi[/tex] + 144[tex]\pi[/tex]

                        = 240[tex]\pi[/tex]

                        = 754cm³ (3 s.f.)

Surface area of toy = ([tex]\pi[/tex] × 6 × 10) + (2 × [tex]\pi[/tex] × 6²)

                                = 60[tex]\pi[/tex] + 72[tex]\pi[/tex]

                                = 132[tex]\pi[/tex]

                                = 415cm² (3 s.f.)

Answer:

C

Step-by-step explanation:

Answer:

B.(0,-1)

Step-by-step explanation:

Answer:

B.(0,-1)

Step-by-step explanation:

i just got it right

Answer:

e^5

Step-by-step explanation:

When you multiply with exponents you add ONLY the exponents and multiply the variables    

Answer: 44

Step-by-step explanation:

Since ABC=DBC. that means A=D so that would mean 44=D since A=44 and they’re both congruent (equal)

Answer:

its 44

Step-by-step explanation:

Please find attached photograph for your answer.

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:

Answer:

7.1 and 7.2

Step-by-step explanation:

if you look on the number line 51 is in between what two numbers

Answer:

I am sorry I just saw the question!

hey i dont know it im just doing a glitch right now

Answer:

D

Step-by-step explanation:

B and C aren't correct

Answer:  2 .    5

               6       4

Step-by-step explanation:

The solution is

The equation of sets is given by n(A∪B) = n(A) + n(B) - n(A⋂B)

What is Set Theory Formula?

The set formula is given in general as n(A∪B) = n(A) + n(B) - n(A⋂B), where A and B are two sets and n(A∪B) shows the number of elements present in either A or B and n(A⋂B) shows the number of elements present in both A and B.

Given data ,

Let the equation be represented as A

The value of A is

n(A∪B) = n(A) + n(B) - n(A⋂B)

So , from the given Venn diagram , we get

The number of people who have been to the United States and Australia is given by A = 2

The number of people who have been to Australia and not been to United States is B = 5

The number of people who have not been to Australia but been to United States is C = 6

The number of people who have not been to Australia and not been to United States is D = 4

Hence , the equation is solved by sets

To learn more about sets click :

https://brainly.com/question/26397859

#SPJ2

Answer:

C

Step-by-step explanation:

Ms. Barcht's savings account can be modeled with the expression

50 + 25x

Mrs. Greene's savings account can be modeled with the expression

75x

Since the question is how many weeks Mrs. Greene will have more money than Ms. Bracht. we use an inequality to contain the all the solutions.

Mrs.Greene > Ms. Bracht

75x > 25x + 50

Answer:

The answer would be C. 75x>25x+50

Step-by-step explanation:

The answer would be C. because Ms. Barcht started with $50 and deposits $25 every week while Mrs. Greene saves $75 a week. 7 days is a week so lets multiply $25 x 2 (2 weeks). Ms. Barcht would have $100 by the end of 2 weeks and Mrs. Greene would have $150 by the end of 2 weeks because $75x2 is $150

Hope this helps.

Answer:

C

Step-by-step explanation:

Answer:

Slope: -1/3

y intercept: -2

Answer:

Top Left Again :D

Step-by-step explanation:

yes

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:

C

Step-by-step explanation:

"per cent" means out of hundred, so it's 70 out of hundred.

Answer:

yep

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

2x + 6 is equal