The variables x and y are proportional. Use the values to find the constant of proportionality. Then write an equation that relates x and y .

When y=72 , x=3 .

Answer:12

Step-by-step explanation: 3 x (2x2)= 3x4= 12

Yes

Set the total cost toy, the number of books is x.

So, y= 200+2x

so cost is a dunction of the number of books

Hope this helps you!!!!! :D

Answer:

54° and 58°

Step-by-step explanation:

180-68=112

54 and 58 are the only ones that add p to 112

Answer:

54° and 58°

Step-by-step explanation:

there are 180° in a triangle

if one angle is 68° then that leaves 112°

54 + 58 = 112

Using logarithmic function concepts, it is found that the correct statement is:

x = 9 is a true solution and x = -9 is an extraneous solution.

A logarithmic function is modeled by:

[tex]a = \log_{b}{x}[/tex]

It means that:

[tex]b^a = x[/tex]

In this problem, we have that:

[tex]2\log_{3}{x} = 4[/tex]

Applying the power property:

[tex]\log_3{x^2} = 4[/tex]

Applying the definition:

[tex]x^2 = 3^4[/tex]

[tex]x^2 = 81[/tex]

[tex]x = \pm 9[/tex]

As the logarithm function is defined only for positive values, the correct statement is:

x = 9 is a true solution and x = -9 is an extraneous solution.

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Answer:

D on edge

Step-by-step explanation:

x=9 is true soltion and x = -9 is an extraneous soltion

Answer: $ 7.00

Step-by-step explanation:

you multiply 1.15 by 4

and multiply 1.20 by 2

add

The correct equilibrium constant expression for this equation is;

[tex]\rm K_{eq}=\dfrac{(C0_2)(CF_4)}{(COF_2)^2}[/tex]

Given

Consider the equation below.

[tex]\rm {2COF_2(g)}\rightleftharpoons C0_2(g)+CF_4(g)[/tex]

In an equilibrium constant expression, you do not include the solid substances; only gases and dissolved substances.

It is the quotient of the product of the concentrations of the species on the right-hand side of the equilibrium equation, each raised to its corresponding coefficient, and the product of the concentrations of the species on the left-hand side, each raised to its corresponding coefficient.

Therefore,

The correct equilibrium constant expression for this equation is;

[tex]\rm K_{eq}=\dfrac{(C0_2)(CF_4)}{(COF_2)^2}[/tex]

Hence, the correct equilibrium constant expression for this equation is;

[tex]\rm K_{eq}=\dfrac{(C0_2)(CF_4)}{(COF_2)^2}[/tex].

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Answer:

b then c

Step-by-step explanation:

look at the image

Answer:

- x² + 3x - 9

Step-by-step explanation:

standard form of a polynomial of degree 2 is

ax² + bx + c ( a ≠ 0 )

Given

- 9 + 3x - x²

= - x² + 3x - 9 ← in standard form

Answer:

SOLVE FOR X, Y

x=12

y=−6

Step-by-step explanation:

2x+5=13

x=6    No

x=4   Yes

x=5    No

No it does not

a) for x = 6 , both sides are not equal.

b) for x = 4 , both sides are equal.

c) for x = 5 , both sides are equal.

In the question, an equation is given i.e., 2x+5 = 13.

We have to check that if both sides of equation are equal or not for value of x = 6 , x = 4 and x = 5 , respectively.

What will be the value of x if 2x + 2 = 4 ?

The value will be x = 2/2 = 1 .

Equation given is , 2x + 5 = 13.

Let's check for x = 6

(2 × 6 ) + 5 = 13

12 + 5 = 13

17 ≠ 13

So for x = 6 , both sides are not equal.

Now , let's check for x = 4.

(2 × 4 ) + 5 = 13

8 + 5 = 13

13 = 13

So, for x = 4 , both sides are equal.

Now , let's check for x = 5.

(2 × 5 ) + 5 = 13

10 + 5 = 13

15 ≠ 13

So, for x = 5 , both sides are not equal.

Thus , for x = 6 and x =5 , both sides are not equal whereas for x = 4 , both sides are equal.

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Answer:

See below

Step-by-step explanation:

Significant figures mean how many DECIMAL places you round to, not the digits before the decimal. In your case, 104.7197551 rounded to 3 significant figures would be 104.720

Hope that makes sense!

Answer:

B. [tex]\sqrt{16} * \sqrt{4}[/tex]

Step-by-step explanation:

Solve both given, the question, as well as the answer, and if they give the same result, it is correct:

[tex]\sqrt{16 * 4} \\ = \sqrt{64}\\ = \sqrt{8 * 8} \\= 8[/tex]              [tex]\sqrt{16} * \sqrt{4} \\= \sqrt{64}\\ = \sqrt{8 * 8}\\ = 8[/tex]

Answer:

Step-by-step explanation: When you see a square root sign, which looks like a division sign but flips up on the left side, you know that you're going to find out what times what equals the number under that top line.

In this case we have 16*4. The "*" symbol means "times."

16 * 4 = 64.  (First you multiply 6*4 and get 24. Then you write down the four and carry the two. That means you now are now confident that the second number is 4 and you want the first number. 1*4 is 4 and then add the two you carried over, getting 6. So 16*4 is 64.

Now ask yourself "what times what is 64?" If you  know your times tables, you know the answer is 8. But 8 isn't one of your choices. So now you look at the problems listed under "B' and "D."

Answer B wants you to multiply the square root of 16 times the square root of 4.  Well, 4*4 is 16 so the square root of 16 is 4.  And the second one, the square root of 4, is 2 because 2*2 is 4.  So now you  multiply 4*2 and get 8, which is the answer you wanted! So the correct answer is "B."

The equation that is quadratic form is 6(x + 2)²+ 8x + 2 + 1 = 0

A quadratic equation is an algebraic expression whose polynomial is in the order of two. The general formula for representing a quadratic equation takes the order of:

From the given options, the equation that takes a quadratic form is:

6(x + 2)²+ 8x + 2 + 1 = 0

solve the brackets

6(x² + 4x + 4) + 8x + 3 = 0

6x² + 24x + 24 + 8x + 3 = 0

6x² + 32x + 27 = 0

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Answer:

a

Step-by-step explanation:

Answer:

Answer:

b

Step-by-step explanation:

y intercept is 2 and the rise over run is 1 and 3

Answer:

this isn't an answer but i think we do the same online school HAHAHA

Therefore, the probability of finding the first defective apple on or before the fourth trial is approximately 0.475 (rounded to 3 decimal places).

Probability is a branch of mathematics that deals with the study of random events and the likelihood of their occurrence. It is the measure of the likelihood or chance that a particular event will occur. Probability is expressed as a value between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. In probability theory, an event is a set of possible outcomes of an experiment or a process. The probability of an event is the ratio of the number of favorable outcomes to the total number of possible outcomes. Probability theory is widely used in various fields such as statistics, physics, economics, finance, computer science, and many others. It provides a powerful tool for making predictions, analyzing data, and making decisions under uncertainty.

Here,

This is an example of a geometric distribution, since we are interested in the number of trials required to achieve the first success (finding a defective apple). Let p be the probability of success (finding a defective apple) on any given trial, which is 0.18 in this case.

The probability of finding the first defective apple on the k-th trial is given by:

P(X = k) = [tex](1 - p)^{(k-1)} ^[/tex] * p

Therefore, the probability of finding the first defective apple on or before the fourth trial is:

P(X ≤ 4) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

= (1 - p)⁽¹⁻¹⁾ * p + (1 - p)⁽²⁻¹⁾ * p + (1 - p)⁽³⁻¹⁾ * p + (1 - p)⁽⁴⁻¹⁾ * p

= (0.82)⁰ * 0.18 + (0.82)¹ * 0.18 + (0.82)² * 0.18 + (0.82)³ * 0.18

≈ 0.475

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Answer:

The answer is in pictures.

hope it helps:)

a. The value of C(g(m)) = 0.11m

b. The coeffient of C(g(m)) is the cost per mile of travel of the vehicle.

The value of C(g(m)) = 0.11m

Since the function C(g) = 2.75g represents the cost (in dollars) of g gallons of gasoline at a gas station and the function g(m) = 0.04m approximates the number of gallons of gasoline a vehicle uses to travel m miles.

We need to find the function C(g(m))

So, substituting g(m) = 0.04m into C(g), we have

C(g) = 2.75g

C(g(m)) = 2.75(0.04m)

C(g(m)) = 0.11m

The value of C(g(m)) = 0.11m

The coeffient of C(g(m)) is the cost per mile of travel of the vehicle.

The coeffient of C(g) is cost per gallon, since C(g)/g = 2.75 cost/gallon and the coefficient of g(m) is gallon per miles since g(m)/m = 0.04 gallon per mile.

Since the coeffient of C(g(m)) = coefficient of C(g) × coefficient of g(m), then

coeffient of C(g(m)) = 2.75 dollars/gallon × 0.04 gallon/mile = 0.11 dollars/mile

So, the coeffient of C(g(m)) is the cost per mile of travel of the vehicle.

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Answer:

24 and 54

Step-by-step explanation:

24/6 = 4

54/6=9

These are factors because when dividing they leave no remainders

Answer:

(1.29.0)

Step-by-step explanation:

Answer:

explanation:

given data

15% amount = 30

to find out

Calculate the whole amount

solution

a pictorial model is attach find that

where we can see easily whole amount is 200 for 15 % is 30

and

15% is 30

here 15% = \frac{15}{100}

100

15

and \frac{15}{100}

100

15

= \frac{30}{200}

200

30

so whole amount is 200 for 15 % is 30

Answer:

x=2

Step-by-step explanation:

4(5+x)=28

4x+20=28

    -20   -20

4x=8

divide both sides by 4

then you get x=2

Answer:

Step-by-step explanation:

4(5+x)=28 so 20+4x=28 so the answer is 2

Answer:

slope = [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

5x - 3y = 18 ( subtract 5x from both sides )

- 3y = - 5x + 18 ( divide the terms by - 3 )

y = [tex]\frac{5}{3}[/tex] x - 6 ← in slope- intercept form

with slope m = [tex]\frac{5}{3}[/tex]

Parallel lines have equal slopes , then

slope of line parallel to 5x - 3y = 18 is m = [tex]\frac{5}{3}[/tex]

Answer:

slope = 5/3

Step-by-step explanation:

5x — Зу = 18

-3y = 18 - 5x

y = ( 18 - 5x )/-3

y = 5x/3 -6

comparing with the formula: y = mx + b

                                            where m is slope and b is y-intercept.

Here the slope is 5/3  and y-intercept is -6

Answer:

Step-by-step explanation:

21 x 0.07= 1.47

21+1.47=22.47

Total=22.47

The factor of the polynomial is (√5x - i√2)(√5x + i√2)(x + 4).

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

Given

5x³ + 20x³ + 2x +8 is a polynomial.

The factor of the polynomial.

5x³ + 20x³ + 2x +8 is a polynomial.

Take common, we get

5x²(x + 4) + 2(x + 4)

(5x² + 2) (x + 4)

[(x√5)² - (i√2)](x + 4)

(√5x - i√2)(√5x + i√2)(x + 4)

Thus, the factor of the polynomial is (√5x - i√2)(√5x + i√2)(x + 4).

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Answer:

> Option D, or (5x2 + 2) (x + 4), is the correct choice.

Step-by-step explanation:

> This is the only correct answer choice for this equation.