What is the domain of this relation?

(16, 1)
(0, 19)
(7, –19)

Answer: Approximately 5.22%

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

Work Shown:

A = true value = 13.4 seconds

B = measured value (erroneous value) = 14.1 seconds

C = percent error

C = [ (B-A)/A ] * 100%

C = [ (14.1-13.4)/(13.4) ] * 100%

C = 0.0522 * 100%

C = 5.22%

This value is approximate.

Answer:

$8

Step-by-step explanation:

This system of equations relates the ticket price, in dollars, for seats in the silver (x) and gold (y) sections at a rock concert. x + 2y = 82 3x + y = 96 By how much does the price of a ticket for the gold section exceed the price for a ticket for the silver section?

Two equations are presented in this question

x + 2y = 82   equation 1

3x + y = 96     equation  2

Multiply equation 1 by 3

3x + 6y = 246 equation 3

subtract equation 2 from 3

5y = 150

y = 30

Substitute for y in equation 1

x + 2(30) = 82

x = 82 - 60

x = 22

difference in price = 30 - 22 = $8

x =

Answer:

Simplify the expression.

36a to the power of 7 then - 156a to the power of 4 then -15a to the power of3

Answer:

Step-by-step explanation:

Answer:

d∅/dt = √2/5 Rad/sec

Step-by-step explanation:

According to the Question,

Solution,

Let x be the Distance between the base of the wall and the bottom of the ladder.

and let ∅ be the angle between the top of the ladder and the wall.

Then, Sin∅ =x/10  so, x=sin∅ *10

Differentiating with respect to time t we get,

dx/dt = 10 * cos∅ * d∅ /dt

Now, Put these value we get

2 = 10 *(cos(π/4))* d∅/dt

2 = 10/√2 * d∅/dt

d∅/dt = √2/5 Rad/sec

Answer:

S = 3741

Step-by-step explanation:

Here, we want to calculate the sum of the first 86 numbers (starting from 1)

Mathematically, we can use the formula;

Sn = n/2[ a + L]

Where n is the number of terms (86 here)

a is the first term which is 1 and L is the last term which is 86

So, we have the sum as;

Sn = 86/2(1 + 86) = 43 * 87 = 3741

Answer and Step-by-step explanation:

We are given two functions, f and g. We are asked to find the value of f evaluated at g(x).

Here, we need to plug in every value of x in f(x) with the value of g(x).

f(g(x)) = [tex](x^2)^3-9(x^2)[/tex]

An exponent raised by an exponent results in the exponents multiplying together.

f(g(x)) = [tex]x^6 - 9x^2[/tex]   <- This is the final answer.

I hope this helps!

#teamseas #PAW (Plant And Water)

Answer:

-50

Step-by-step explanation:

Answer:

0.4476

Step-by-step explanation:

Answer:

3x + 5 = 23

Step-by-step explanation:

Let x represents the number of persons in her group.

Since she brings 3 markers for each person, then number of markers brought for persons in her group = 3x.

She brings 5 extra markers for each person to share.

Thus, total markers she brought is now;

3x + 5

She brought 23 markers in all.

Thus, equation that represents the information is;

3x + 5 = 23

Answer:

fractions larger than 14 and one-half

decimals larger than 14 and one-half

whole numbers larger than 14 and one-half

Step-by-step explanation:

Which numbers are solutions to the inequality x greater-than 14 and one-half? Check all that apply.

Given that the inequality is represented by [tex]x>14\frac{1}{2}[/tex], i.e. x > 14.5

This inequality represent all the set of real numbers which are greater than 14.5. Whereas numbers including 14.5 and below are not involved. Hence the numbers that are a solution to this inequality are:

fractions larger than 14 and one-half

decimals larger than 14 and one-half

whole numbers larger than 14 and one-half

Answer: here is a picture of all of them I hope this helps :). This picture will clearly show the answers for 1 and 2

Step-by-step explanation:

Answer:

(b) [tex]x \ge -3[/tex]

Step-by-step explanation:

Given

[tex]g(x) = \sqrt{x + 3}[/tex]

Required

The domain

For [tex]g(x) = \sqrt{x + 3}[/tex] to be defined, the following must be true

[tex]\sqrt{x + 3} \ge 0[/tex]

Square both sides

[tex]x + 3 \ge 0[/tex]

Subtract 3 from both sides

[tex]x \ge -3[/tex]

Hence, the domain is:

(b) [tex]x \ge -3[/tex]

Answer:

9a. GCF: 16. LCM: 960

9b. GCF: 55. LCM: 275

9c. GCF: 24. LCM: 114

9d. GCF: 40. LCM: 600

10a. GCF: 120. LCM: 1440

10b. 10, 2, 5, 20

10c. 2880, 4320, 5760, 7200

Answer:

A, 0.13 mph.

Step-by-step explanation:

To get that, divide the cm/sec by 44.704.

6/44.704 ≈ 0.13

Answer:

1/2 + 2/3 + 5/4 = 29/ 12 = 2 5/  12  ≅ 2.4166667

Step-by-step explanation:

Add: 1/ 2  + 2/ 3  = 1 · 3/ 2 · 3  + 2 · 2/ 3 · 2  = 3/ 6  + 4/ 6  = 3 + 4/ 6  = 7/ 6

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 3) = 6. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 3 = 6. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - one half plus two thirds = seven sixths.

Add: the result of step No. 1 + 5/ 4  = 7/ 6  + 5/ 4  = 7 · 2/ 6 · 2  + 5 · 3/ 4 · 3  = 14/ 12  + 15/ 12  = 14 + 15/ 12 = 29/ 12

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(6, 4) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 6 × 4 = 24. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - seven sixths plus five quarters = twenty-nine twelfths.

hope it helps...

correct me if I'm wrong...

Answer:

see explanation

Step-by-step explanation:

To verify cos²A + sin²A = 1 with A = 90° , then

cos²90° + sin²90°

= (0)² + (1)²

= 0 + 1

= 1

Answer:

[tex]2 {x}^{2} - x - 1 \\ 2 {x}^{2} - (2 - 1)x - 1 \\ 2 {x}^{2} + 2x - 1x - 1 \\ 2x(x + 1) - 1(x + 1) \\ (2x - 1)(x + 1)[/tex]

Answer:

[tex]{ \bf{x = \sqrt{ {12}^{2} - { \sqrt{122} }^{2} } }} \\ x = \sqrt{22} \: in[/tex]

Answer:

b

Step-by-step explanation:

[tex]\frac{x^4}{x^7} =x^4 \times x^{-7} =x^{4-7} =x^{-3}[/tex]

Answer:

A: The y-intercept of f(x) is equal to the x-intercept of g(x)

Step-by-step explanation:

From the equation of f(x) given, we have;

f(x) = -4(1.09)^(x)

Now,the y-Intercept will be the point where x = 0.

Thus;

f(0) = -4(1.09)^(0)

f(0) = -4

Now,from the table given for g(x), we can see that at x = 0,g(x) = -4.

Thus,it means that the y-intercept of f(x) is equal to the x-intercept of g(x)

Answer:

B

Step-by-step explanation:

Let divide g(x) by f(x)

[tex] \frac{ {x}^{2} - 9 }{2 - x {}^{ \frac{1}{2} } } [/tex]

The domain of a rational function cannot equal zero so let set the bottom function to zero.

[tex]2 - x {}^{ \frac{1}{2} } = 0[/tex]

[tex]x {}^{ \frac{1}{2} } = 2[/tex]

Square both sides

[tex]x = 4[/tex]

Also we can simplify the bottom denomiator into a square root function

[tex]2 - \sqrt{x} [/tex]

The domain of a square root function is all real number greater than or equal to zero because a square root of a negative number isn't graphable.

So we must find a answer that

Answer:

Below.

Step-by-step explanation:

(1/3)X = 849

x = 849*3 = 2547

The total pay per month of an operator is equal to $2547.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that an operator in the plant receives a monthly salary. His rent, which is $849, takes up exactly 1/3.

The total monthly salary will be calculated as,

(1/3)X = 849

X = 849 x 3

X= 2547

Therefore, the total pay per month of an operator is equal to $2547.

To know more about an expression follow

https://brainly.com/question/20912045

#SPJ5

Answer: 20%

Step-by-step explanation:

Human capital refers to the expertise that people gain as a result of working. This includes skills they gain from training and actually working. For instance, the skills a Brainly website designer gets from working on Brainly.

Research suggests that this human capital has led to about a 20% growth in U.S. productivity from the year 1950 to the year 2007 which means that it is a very significant factor in the growth of the country.

Answer:

[tex]7b^2+6b-3[/tex]

Step-by-step explanation:

Given:

[tex]2b+7b^2-2+3b-1+b[/tex]

Combine like terms.

[tex]7b^2+6b-3[/tex]

Hope this helps.

Answer: The b-value is the middle number, the number next to the X

Answer:

D.

Step-by-step explanation:

x = number of glasses of iced tea

y = number of glasses of lemonade

The total number of glasses is

x + y

The total number of glasses is 44

x + y = 44

This is not a choice, but the answer must be equivalent to this equation.

Solve for x by subtracting y from both sides.

x = 44 - y

Answer: D.

(x - [3])² + (y- [2])² = 16

Answer:

[tex]{ \bf{0.35{ \bar{2}}}} = { \bf{0.352222222....}} \\ = \frac{317}{900} [/tex]