What is the order of operation

Answer:

28

Step-by-step explanation:

3x² - 2x + 7

→ Substitute x = 3

3 × 3² - 2 × 3 + 7 ⇔ 3 × 9 - 6 + 7 ⇔ 27 - 6 + 7 ⇔ 21 + 7 ⇔ 28

29293

Step-by-step explanation:

yes yes !!

The composition (f∘g)(x) is given by (f∘g)(x) = f(g(x)) = f(6x - 1) = 3(6x - 1) + 4 = 18x - 3 + 4 = 18x + 1. The domain of (f∘g)(x) is the set of all real numbers since there are no restrictions on x for this composition.

To find the composition (f∘g)(x), we substitute the expression for g(x) into f(x) and simplify the resulting expression. We have f(g(x)) = f(6x - 1) = 3(6x - 1) + 4 = 18x - 3 + 4 = 18x + 1. Therefore, the composition (f∘g)(x) simplifies to 18x + 1.

The domain of a composition is determined by the domain of the inner function that is being composed with the outer function. In this case, both f(x) = 3x + 4 and g(x) = 6x - 1 are defined for all real numbers, so there are no restrictions on the domain of (f∘g)(x). Therefore, the domain of (f∘g)(x) is the set of all real numbers.

For the composition (g∘1)(x), we substitute 1 into g(x) and simplify the expression. We have (g∘1)(x) = g(1) = 6(1) - 1 = 5. Therefore, (g∘1)(x) simplifies to 5.

Similarly, the domain of (g∘x) is the set of all real numbers since there are no restrictions on x for the composition (g∘x).

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Answer:

288

Step-by-step explanation:

We can use a proportion to solve this problem:

4 : 100 = 12 : x

x = (12 x 100)/4 = 300 (total computers)

300 - 12 = 288

Answer:

x = 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

-2(5x - 5.5) + 8 = -9x + 2 - (-5)

Step 2: Solve for x

Step-by-step explanation:

v = Victor's age

m = Maria's age

v = 3m

v - 10 = 7(m - 10)

3m - 10 = 7m - 70

60 = 4m

m = 15

v = 3m = 3×15 = 45

Victor is 45 years old. Maria is 15 years old.

If the condition that the company borrowed $1000 more at 9% than at 10% is dropped, the amount borrowed at 10% must be greater than or equal to $6500.

If the amount borrowed at 10% is $3000, then the amounts borrowed at 8% and 9% are $11,000 and $7000, respectively. For the bank to set a maximum of $10,000 at the lowest interest rate of 8%, there is no solution possible that meets all of the original conditions.

(b) If the condition of borrowing $1000 more at 9% than at 10% is dropped, we can assign a variable to the amount borrowed at 10%, let's say $x. Then the amount borrowed at 9% would be $x + $1000. The total amount borrowed is $21,000, so we have the equation:
$x + ($x + $1000) + ($21,000 - 2x - $1000) = $21,000
Simplifying, we get:
3x = $21,000
x = $7000
Therefore, if the amount borrowed at 10% is $3000, the amount borrowed at 9% is $7000, and the amount borrowed at 8% is $11,000.
(c) If the bank sets a maximum of $10,000 at the lowest interest rate of 8%, it means the amount borrowed at 8% cannot exceed $10,000. However, in the original conditions, the total amount borrowed is $21,000, which is greater than $10,000. Therefore, there is no solution possible that meets all of the original conditions.

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Answer:

its A

Step-by-step explanation:

ur welcome

Answer:

44

Step-by-step explanation:

44^3 = 85,184

five digit positive

eight in the ten thousand place

Answer:

4

Step-by-step explanation:

Notice each side was increased by 4 times

You can set up a ratio of

\(\frac{new}{old}\)

then reduce or divide

If Young is replacing fencing around his rabbit pens and garden , then to replace the two rabbit pens and his garden the number of feet of fencing required is 76 ft .

The Dimensions of the Rabbit Pen is :

the length of rabbit pen is = 3.5 ft ;

the width of the rabbit pen is = 4.5 ft ;

the Dimensions of the Garden are :

the length of garden is = 12 ft ;

the width of garden is = 10 ft ;

So , Perimeter of Rabbit Pen is = \(2\times (Length + Width)\) ;

Perimeter = \(2\times (3.5 + 4.5)\)

= 16 ft .

Since there are 2 rabbit pens ,

So , the Perimeter of two rabbit pen is = \(16+16\) = 32 ft ;

And , Perimeter of Garden is = \(2\times (12 + 10)\) = 44 ft .

Total Perimeter of Pen and Garden is  = \(32+44\) = 76 ft .

Therefore , Young would require 76 ft of fencing to replace the two rabbit pen and garden .

The given question is incomplete , the complete question is

Young is replacing the fencing around his rabbit pens and garden. The table shows the dimensions of the different areas. How many feet of fencing will he need to replace two rabbit pens and his garden?

Item             Length(ft)   Width(ft)

Rabbit Pen      3.5             4.5

Garden             12               10

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Answer:

z≠0

Step-by-step explanation:

dz+84=-p(51+z)

dz+84-84=-p(51+z) -84

dz=-p(51+z) -84

dz/z=-p(51+z) /z-84/z

The value of z is (84 + 51p) / (d - p).

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

-p(51 + z) = dz + 84

Remove the parentheses.

-51p - pz = dz + 84

Subtract dz on both sides.

-51p - pz - dz = 84

Add -51p on both sides.

--pz - dz = 84 + 51p

z (-p + d) = 84 + 51p

z = (84 + 51p) / (d - p)

Thus,

The value of z is (84 + 51p) / (d - p).

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To determine the present worth of a ticket option used by Fan Y, we need to calculate the present value of the amount specified.

The present value represents the current worth of a future sum of money, accounting for the time value of money.Given that the ticket option has a duration of 50 years, we can use the LCM (Least Common Multiple) of 50 years to determine the present worth. The LCM of 50 years is 50 years itself.

However, the given options for the present worth, "$-137,055", "$-107,055", "$-127,055", and "$-117,055", are all negative values. This suggests that the present worth represents a negative amount, which usually indicates a cost or an expense. Therefore, we can conclude that the correct answer is "$-137,055" as the present worth of the ticket option used by Fan Y.

The present worth of the ticket option used by Fan Y is "$-137,055". This value indicates the current worth of the future sum of money associated with the ticket option, accounting for the time value of money. The negative sign implies that Fan Y incurred a cost or expense related to the ticket option.

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Answer:

$4.25

Step-by-step explanation:

Simple, 12.50 divided by four is 4.25. Meaning the answer is $4.25.

Answer:

81 numbers

Step-by-step explanation:

Let,

Number of Advance Tickets = a

Number of Same-Day tickets = s

Given,

Total 45 tickets sold

We can write

Also, each advance ticket cost $15 and same day tickets cost $20 for a total of $825. Thus, we can write:

We will multiply the first equation by - 15 and then add both equations. Then, solve for "s". The steps are shown below:

Now, we can use this value of "s" and put it into Equation 1 and find the value of "a". Shown below:

The measures of the corresponding inscribed angles, and then add those angles together to find the measure of angle L. Therefore, the measure of angle L is 64 degrees.

The Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of its intercepted arc. In other words, if we have an angle whose vertex is on the circumference of a circle, and whose sides intersect two points on the circumference, then the measure of the angle is half the measure of the arc between those two points.

In this problem, we are given the measures of two arcs, DR and SV, and we want to find the measure of angle L. We can start by using the Inscribed Angle Theorem to find the measures of the corresponding inscribed angles. Let's call these angles A and B, where A is the inscribed angle that intercepts arc DR, and B is the inscribed angle that intercepts arc SV.

Using the Inscribed Angle Theorem, we can find that m∠A=12m⌢DR=12(34∘)=17∘m∠B=12m⌢SV=12(94∘)=47∘

To find the measure of angle L, we simply add angles A and B together: m∠L=m∠A+m∠B=17∘+47∘=64∘

Therefore, the measure of angle L is 64 degrees.

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Answer:

True, because if price changes, dod oes average of money. So if you get 5 bucks per 10 scarfs, you'll get 5.50$ for 11 scarfs

Step-by-step explanation:

Lets just say she gets half of what the actual cost is. In total.

Answer:

This is true

Step-by-step explanation:

a) Marginal PDF of X and marginal pdf of Y:fX(x) = 0.5x for 0 < x < 2.

b)The conditional PDF of Y given X = x is fY|X(y|x) = 1 / x for 0 < y < x < 2.

c)The conditional PDF of X given Y = y is fX|Y(x|y) = 1 / (2 - y) for 0 < y < x < 2.

d) E(X) = 4/3and E(Y)= 2/3

e) Var(X)= = 2/9 and Kar(K)= 2/9, Cov(X, Y) = 10/9

f)The correlation coefficient of X and Y is 5.

To find the marginal PDF of X, the joint PDF over the range of Y:

fX(x) = ∫[0 to 2] f(x, y) dy

Since the joint PDF f(x, y) = 1/2 for 0 < y < x < 2, the integral as follows:

fX(x) = ∫[0 to x] (1/2) dy

= (1/2) ×[y] evaluated from 0 to x

= (1/2) × (x - 0)

= 1/2 × x

= 0.5x, for 0 < x < 2

The conditional PDF of Y given X = x can be found using the joint PDF and the marginal PDF of X. The conditional PDF is given by:

fY|X(y|x) = f(x, y) / fX(x)

Given that f(x, y) = 1/2 for 0 < y < x < 2 and fX(x) = 0.5x for 0 < x < 2, substitute these values:

fY|X(y|x) = (1/2) / (0.5x)

= 1 / x, for 0 < y < x < 2

Similar to part (b), the conditional PDF of X given Y = y can be found using the joint PDF and the marginal PDF of Y. The conditional PDF is given by:

fX|Y(x|y) = f(x, y) / fY(y)

Given that f(x, y) = 1/2 for 0 < y < x < 2 and the marginal PDF of Y, fY(y) = ∫[y to 2] (1/2) dx, the integral:

fX|Y(x|y) = (1/2) / ∫[y to 2] (1/2) dx

= (1/2) / [(1/2) ×(2 - y)]

= 1 / (2 - y), for 0 < y < x < 2

E(X) = ∫[0 to 2] x × fX(x) dx

= ∫[0 to 2] x × (0.5x) dx

= 0.5 ∫[0 to 2] x² dx

= 0.5 × (1/3) × [x³] evaluated from 0 to 2

= 0.5 × (1/3) × (2³ - 0³)

= 0.5 × (1/3) × 8

= 4/3

E(Y) = ∫[0 to 2] y × fY(y) dy

= ∫[0 to 2] y × ∫[y to 2] (1/2) dx dy

= ∫[0 to 2] y × (1/2) × (2 - y) dy

= (1/2) × ∫[0 to 2] (2y - y²) dy

= (1/2) ×[(y²) - (1/3)y³] evaluated from 0 to 2

= (1/2) × [(2²) - (1/3)(2³) - 0]

= (1/2) × [4 - (8/3)]

= (1/2)× (12/3 - 8/3)

= (1/2) × (4/3)

= 2/3

e) Variances and Covariance:

Var(X) = E(X²) - [E(X)]²

Var(Y) = E(Y²) - [E(Y)]²

Var(X) = ∫[0 to 2] x² ×fX(x) dx - [E(X)]²

= ∫[0 to 2] x² × (0.5x) dx - (4/3)²

= 0.5 × ∫[0 to 2] x³ dx - (4/3)²

= 0.5 × (1/4) ×[x³] evaluated from 0 to 2 - (16/9)

= 0.5 × (1/4) × (2³ - 0³) - (16/9)

= 0.5 × (1/4) × 16 - (16/9)

= 2 - (16/9)

= 2/9

Var(Y) = ∫[0 to 2] y² × fY(y) dy - [E(Y)]²

= ∫[0 to 2] y² × ∫[y to 2] (1/2) dx dy - (2/3)²

= (1/2) × ∫[0 to 2] y² × (2 - y) dy - (2/3)²

= (1/2) ×[(2/3)y³ - (1/4)y²] evaluated from 0 to 2 - (4/9)

= (1/2) × [(2/3)(2³) - (1/4)(2²) - 0] - (4/9)

= (1/2) × [(16/3) - (16/4)] - (4/9)

= (1/2) ×[(16/3) - (12/3)] - (4/9)

= (1/2) × (4/3) - (4/9)

= 2/3 - 4/9

= 6/9 - 4/9

= 2/9

Cov(X, Y) = E(XY) - E(X)E(Y)

= ∫∫[0 to 2] xy × f(x, y) dy dx - (4/3)(2/3)

= ∫∫[0 to 2] xy × (1/2) dy dx - (8/9)

= (1/2) × ∫∫[0 to 2] xy dy dx - (8/9)

= (1/2) × [(1/2)x × ∫[0 to x] y² dy] evaluated from 0 to 2 - (8/9)

= (1/2) × [(1/2)x × (1/3)y³] evaluated from 0 to x, evaluated from 0 to 2 - (8/9)

= (1/2) × [(1/2)x × (1/3)x³ - 0] evaluated from 0 to 2 - (8/9)

= (1/2) × [(1/2)(2) × (1/3)(2³) - 0] - (8/9)

= (1/2) × [1/2 ×8 - 0] - (8/9)

= (1/2) × [4 - 0] - (8/9)

= (1/2) × 4 - (8/9)

= 2 - (8/9)

= 18/9 - 8/9

= 10/9

f) Correlation coefficient:

The correlation coefficient (ρ) of X and Y is given by:

ρ = Cov(X, Y) / sqrt(Var(X) × Var(Y))

Using the values

ρ = (10/9) / sqrt((2/9) × (2/9))

= (10/9) / (2/9)

= 10/2

= 5

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Solution:

Given the ordered pairs;

The domain, x, of the function is;

Then, the range, y, is;

The equation of the line which is perpendicular to this line would be 3x - 2y = 13.

The equation of a parallel line to the line would be 2x + 3y = 0

The slope of the line perpendicular to this would be the negative reciprocal of -2/3, which is 3/2.

So the equation of the perpendicular line is:

y - ( -2 ) = 3/2 (x - 3)

y + 2 = 3/2x - 9/2

2y + 4 = 3x - 9

3x - 2y = 13

The slope of the line parallel to the given line would be equal to the slope of the given line, which is -2/3.

So the equation of the parallel line is:

y - (-2) = -2/3 (x - 3)

y + 2 = -2/3x + 2

y = -2/3x

2x + 3y = 0

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

Work Shown:

Angle PQR = (far arc - near arc)/2

2x+72 = ( (2x+252) - (2x+108) )/2

2x+72 = 144/2

2x+72 = 72

2x = 72-72

2x = 0

x = 0/2

x = 0

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

Angle PQR = 2x+72

Angle PQR = 2(0)+72

Angle PQR = 72 degrees

Answer:

17.001>17.0001

Answer:

17.001>17.0001

Step-by-step explanation:

17.001 is greater than 17.0001

This is a description of a graphical representation of the labor market, where a line represents the demand curve for labor, showing the relationship between the wage and the quantity of workers demanded, and another line represents the supply curve of labor, showing the relationship between the wage and the quantity of people willing to work. The point where the two lines intersect represents the equilibrium wage and quantity of labor in the market.

The graphical representation of the labor market shows two lines, one representing the demand curve for labor and the other representing the supply curve for labor. The demand curve shows the relationship between the wage offered by firms and the quantity of workers demanded. The supply curve shows the relationship between the wage offered by firms and the quantity of people willing to work. The intersection of these two curves determines the equilibrium wage and quantity of labor in the market.

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Answer:

9. x= 9

10. x= 9

Step-by-step explanation:

9. 13x+12= 129

    13x=129-12

       x=117/13=9

10.180-(7x-10)= 12x+19

     180-7x+10=12x+19

     190-7x=12x+19

     190=19x+19

     190= 19(x+1)

     190/ 19=x+1

     10=x+1

     9=x

Answer:

9. 13x+12 = 129

=> x=117/13 = 9

10.7x-10+(12x+19)= 180

19x+9= 180

x= 171/19

= 9

Answer:

  ∠3 and ∠4

Step-by-step explanation:

In this diagram, angles 3 and 4 are the only pair whose sum is 90°.

In this given figure, \(\angle{3}\) and \(\angle{4}\) are the only pairs of angles that have the measure of 90°.

So,\(\angle{3}\) & \(\angle{4}\) are the pair of angles.

Answer:

i believe it is a2+b2=c2

For the theoretical probability of a five-digit postal ZIP code ending in 1, we would need to know the total number of possible five-digit ZIP codes that exist and the number of ZIP codes that end in 1.

We have,

Explain the theoretical probability of a five-digit postal ZIP code ending in 1.

Now, For the theoretical probability of a five-digit postal ZIP code ending in 1, we would need to know the total number of possible five-digit ZIP codes that exist and the number of ZIP codes that end in 1.

The total number of possible five-digit ZIP codes is,

⇒ 10⁵

⇒ 100,000.

This is because there are 10 possible digits (0-9) for each of the five positions in the code.

To find the number of ZIP codes that end in 1, we need to consider that the last digit can only be 1.

This means that there are 10 possible digits for each of the first four positions in the code, and only one possible digit (1) for the last position.

Therefore, the number of five-digit ZIP codes that end in 1 is,

⇒ 10⁴ or 10,000.

Using these two pieces of information, we can calculate the theoretical probability of a five-digit postal ZIP code ending in 1.

The probability is given by the ratio of the number of ZIP codes that end in 1 to the total number of possible ZIP codes:

P(ZIP code ends in 1) = number of ZIP codes ending in 1 / total number of possible ZIP codes

P(ZIP code ends in 1) = 10,000 / 100,000

P(ZIP code ends in 1) = 0.1 or 10%

Therefore, the theoretical probability of a five-digit postal ZIP code ending in 1 is 0.1 or 10%.

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Answer:

\(v = \frac{4}{3}\pi {r}^{3} = \frac{4}{3} \pi {(3 \: m)}^{3} = 36\pi \: \: {m}^{3} \)