In science class, students are learning about organic compounds. An acetic acid molecule is made of 2 carbon atoms, 2 oxygen atoms, and 4 hydrogen atoms. What is the ratio of carbon atoms to hydrogen atoms?

A 2 : 4

B 4 : 2

C 6 : 2

D 2 : 8

Answer:

d > -8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

25 > 1 - 3d

Step 2: Solve for d

Here we see that any value d greater than -8 would work as a solution to the inequality.

Answer:

\(\frac{1}{32} yards^{3}\)

Step-by-step explanation:

\(V=w*h*l\)

↓

\(V= \frac{1}{4} *\frac{1}{4} *\frac{1}{2}\)

=

\(\frac{1}{32} yards^{3}\\\)

Hope this helps!

If a customer bought ten 1-liter containers of grape juice, the milliliters of juice she bought is 10,000 milliliters, using multiplication.

Multiplication operation is one of the four basic mathematical operations, including addition, subtraction, and division.

Multiplication operation is widely used in unit conversions, just like division operation.

1 liter = 1,000 milliliters

10 1-liter containers = 10,000 milliliters (1,000 x 10)

Thus, the customer bought 10,000 milliliters of grape juice or ten 1-liter containers, based on multiplication operation in unit conversion.

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Therefore, the sentence is Equivalent.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

15 divided by 3 = 5

Square root of 30 = somewhere around 5

5 = 5

Step-by-step explanation:

It's equal too.

Answer:

it will take him 6 hours to earn enough money to buy the sneakers

Step-by-step explanation:

I took the test

Answer:

The answer should be 6

Step-by-step explanation:

I took the test too

Answer:

10°C

Step-by-step explanation:

F = 50

C = 5/9 * (F - 32) = 5/9 * (50 - 32) = 5/9 * 18 = 5 * 2 = 10

Answer:

f(7)=10-14=-4

Answer=-4

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

f(x)=10-2x

Let x = 7

f(7) = 10 -2(7)

     = 10 -14

     = -4

Answer: 9 Hours

Step-by-step explanation:

You take 0.75 and multiple by 12 days (since she will be exercising 3 days a week for 4 weeks.)

0.75 x 12

9 Hours

The amount of the last payment that Elroy will make is $710, which includes the $200 monthly payment and a balance of $510.

The last payment amount is the result of the mathematical operations of subtraction and multiplication.

The first mathematical operation was the subtraction of the down payment from the total cost of the video game system.

Using multiplication, the monthly payments are determined to be $3,400 for 17 months.  This is subtracted from the remaining balance to obtain the last payment amount.

The cost of a custom video game/virtual sound system = $4,210

Down payment = $100

The remaining balance for monthly payment = $4,110 ($4,210 - $100)

Payment period = 18 months (1¹/₂ years)

Monthly payments = $200

Payment for the first 17 months = $3,400 (17 x 200)

Last payment = $710 ($4,110 - $3,400)

Thus, if Elroy makes the minimum monthly payment of $200 till the last payment, then he will pay $710 to settle the account.

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He made a $100 down payment and agreed to pay the entire purchase off in 1 1/2 years The minimum monthly payment is $200 if he makes the minimum monthly payment up until the last payment what will be the amount of his last payment?

The domain restrictions for (f/g)(x) are (c) x = 0, 6

From the question, we have the following parameters that can be used in our computation:

f(x) = x² - 5x - 6

g(x) = x² - 6x

The composite function (f/g)(x) is calculated as

(f/g)(x) = f(x)/g(x)

substitute the known values in the above equation, so, we have the following representation

(f/g)(x) = (x² - 5x - 6 )/(x² - 6x)

For the domain restriction, we have

x² - 6x = 0

When solved, we have

x =  6 or x = 0

Hence, the domain restrictions for (f/g)(x) are (c) x = 0, 6

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Question

Given f(x) = x² - 5x - 6 and g(x) = x² - 6x, what are the domain restrictions

for (f/g)(x)?

A) x = +6

B) x = 0

C) x = 0,6

D) x = -2,6

Answer:

8 pi > 24  true

Step-by-step explanation:

12/pi >4

12 > 4pi

pi is slight greater than 3

12 > 4* a number greater than 3

12 >  a number greater than 12  false

pi + 3 < 6

a number slightly greater than 3 + 3 < 6

a number lightly greater than 6 < 6   false

8 pi > 24

8 * a number slightly greater than 3 > 24

a number greater than 24 > 24   true

6 - pi > 3

6 - a number slightly greater than 3 > 3

a number less than 3 > 3  false

Answer: 2 pages

Step-by-step explanation:

Answer:

2.55555555555555555555555555556

The end behavior of the polynomials are as follows;

(a) y = x³ - 9·x² + 8·x - 14

End behavior; y → ∞ as x → ∞

\({}\)                        y → -∞ as x → -∞

(b) y = -8·x⁴ + 13·x + 800

End behavior; y → -∞ as x → -∞

\({}\)                        y → -∞ as x → ∞

The end behavior of a polynomial is the characteristics of the graph of the polynomial as the input (x-values), tends to plus and minus infinity.

The factors that effect the end behavior of a polynomial are;

The degree of the polynomial, (even or odd)

The sign of the leading coefficient of the polynomial (positive or negative)

The leading coefficient is the coefficient of the term with the highest degree.

(a) The polynomial, function, y = x³ - 9·x² + 8·x  - 14

The specified polynomial is a third degree polynomial, with a positive leading coefficient of 1, the end behavior is therefore;

y tends to positive infinity as x tends to positive infinity

y tends to negative infinity as x tends to negative infinity

End behavior;

y → ∞ as x → ∞

y → -∞ as x → -∞

(b) The polynomial function can be expressed as follows;

y = -8·x⁴ + 13·x + 800

The above polynomial of degree 4 is an even degree polynomial

The leading coefficient of the polynomial is -8, therefore, the leading coefficient is negative

The shape of the graph of the polynomial is therefore ∩ shaped, such that the end behavior is as follows;

y-values approaches negative infinity as x approaches negative infinity

y-values approaches negative infinity as x approaches positive infinity

End behavior;

y → -∞ as x → -∞

y → -∞ as x → ∞

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Answer:

----------------------

Given:

To find the arc measure (θ) in radians, we can use the formula:

Now, plug in the given values:

To solve for θ, divide both sides by 4:

Simplify the expression:

So, the arc measure (θ) is 2π/3 radians

Answer:

Pentagonal Pyrimid

Step-by-step explanation:

Answer:

1) congruent

2) Vertical

Answer:

the volume of the square pyramid is 2430 cubic cm

Answer:

1296 cm³

Step-by-step explanation:

V = a² x [√s²- (a/2)²] / 3

a = 18 cm

s = 15 cm

V = 18² x [√15²-(18/2)²] / 3 = 18² x [√225-81] / 3

V = 324 x (√144/3) = 1296 cm³

Given:

(A)

Solve:

Answer:

87.4 in

Step-by-step explanation:

Imagine a right triangle with one side the hight the other side half of the base side and the hypotenuse the slant height and use Pythagorean Theorem.

h² + (23.4/2)² = 88.2² solve for hight,

h=√88.2²- (23.4/2)² is about 87.4 in

a) The radius of the sphere is given as follows: 27.13 ft.

b) The surface area can be checked as follows: S = 4 x 3.14 x 27.13² = 9244.

The surface area for a sphere of radius r is given by the equation presented as follows:

S = 4πr².

The surface area for this problem is given as follows:

9244 ft².

Hence the radius is given as follows:

\(r = \sqrt{\frac{9244}{4 \times 3.14}}\)

r = 27.13 ft.

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Answer:

2317.44

Step-by-step explanation:

Solution for What is 408 percent of 568:

408 percent *568 =

(408:100)*568 =

(408*568):100 =

231744:100 = 2317.44

Answer:

2317.44

Step-by-step explanation:

Explanation:

Let's replace y with 0 and solve for x.

-x+6y = 2

-x+6*0 = 2

-x + 0 = 2

-x = 2

x = -2

We have x = -2 pair up with y = 0 to get the ordered pair (x,y) = (-2,0)

This is the x intercept of the graph. It's where the line crosses the x axis. You can use a tool like Desmos or GeoGebra to confirm.

Since we have infinitely many numbers to replace x or y with, we have infinitely many solution points on this line.

Each point is of the form (-2+6k, k) where k is any real number.  If k = 0, then it leads to (-2,0) found earlier.

Answer:

Calculated value Z = 2.1097 > 1.96 at 0.05 level of significance

There is a difference between the means

Step-by-step explanation:

Step(i):-

Given that mean of the Population = 5.9pounds/square inch

Given mean of the sample = 6.0pounds/square inch

Given that variance of the Population = 0.36

The standard deviation of the Population = √0.36 =0.6

critical value (Z₀.₀₅)= 1.96

Step(ii):-

Null Hypothesis:H₀: x⁻ = μ

Alternative Hypothesis:H₁:  x⁻ ≠ μ

Test statistic

              \(Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }\)

               \(Z = \frac{6.0-5.9 }{\frac{0.6}{\sqrt{160} } }\)

              Z  =  2.1097

Final answer:-

Calculated value Z = 2.1097 > 1.96 at 0.05 level of significance

The null hypothesis is rejected

There is a difference between the means

So, b) and e) are subspaces of R3, and a), c), and d) are not.

a) {(x,y,z) ∈R3 : x = 0} is not a subspace of R3, because it doesn't contain the zero vector (0,0,0) which is a requirement for a subspace. It's also not closed under scalar multiplication.

b) {(x,y,z) ∈R3: x + y = 0} is a subspace of R3, because it's closed under scalar multiplication and addition and it contains the zero vector (0,0,0).

c) {(x,y,z) ∈R3 : xz = 0} is not a subspace of R3, because it's not closed under scalar multiplication and it's not closed under addition

d) {(x,y,z) ∈ R3: y ≥0} is not a subspace of R3, because it's not closed under addition, it doesn't contain the zero vector (0,0,0) and it's not closed under scalar multiplication.

e) {(x,y,z) ∈ R3: x = y = z} is a subspace of R3 because it satisfies all the properties of a subspace, it is closed under addition, scalar multiplication, it contains the zero vector (0,0,0) and the negative of any vector in the set is also in the set. This set contains all the vectors that are multiples of (1,1,1) which forms a subspace.

So, b) and e) are subspaces of R3, and a), c), and d) are not.

Complete Question: For each of the following subsets of R3 determine whether it is a vector subspace of R3 or not. Justify your answer.                                                                                                                                                      

a) {(x,y,z) ∈R3 : x = 0}

b) {(x,y,z) ∈R3: x + y = 0}

c) {(x,y,z) ∈R3 : xz = 0}

d) {(x,y,z) ∈ R3: y ≥0}

e) {(x,y,z) ∈ R3: x = y = z}

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Answer:

Step-by-step explanation: b

Answer: In order to solve for x, we will have to use the logarithmic properties to isolate x.

f(x) = 3 - 4 In (x-2)

To solve for x, we will have to get x alone on one side of the equation by using the logarithmic property that logb(a^c) = c*logb(a).

4 In (x-2) = 3

In (x-2) = 3/4

To find x, we will raise e to the power of both sides

x-2 = e^(3/4)

x = e^(3/4) + 2

So the solution of x is e^(3/4) + 2

It's important to notice that the natural logarithm (ln) and log base e (In) are same and the solution is valid for both.

Step-by-step explanation: