Solve for I.
-9x + 5 < 17 AND 13+ 25 < -1

The measure of the complement of the angle is A) 54.

Given:

The ratio of the measure of the supplement of an angle to that of a complement of the angle is 8:3.

Let x be the angle.

supplement of the angle of x is = 180-x

complement of the angle of x is = 90 -x

180 - x / 90 -x = 8/3

3(180-x) = 8(90-x)

3*180 - 3*x = 8*90 - 8*x

540 - 3x = 720 - 8x

-3x+8x = 720 - 540

5x = 180

divide by 5 on both sides

x = 180/5

x = 36

Complement of the angle = 90 - 36

= 54

Learn more about the measure here:

https://brainly.com/question/12020266

#SPJ4

Answer:

Slope is 25 and the y-intercept is 100. (It will take him 12 weeks)

Step-by-step explanation:

100 is what you started off with so it counts as the y-intercept. The slope is what slowly increases or decreases over time which is 25. The equation we can make out of this is 400= 25x + 100. Solving this equation, we get 12.

Answer:

Step-by-step explanation:

you gotta multiply the mins which is 40 by 60 which is 2, 400 meters per hour

Answer:

Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

The four basic properties of exponents are the negative exponent property, the product of powers property, the quotient of powers property, and the power of a power property.

The properties of exponents are a set of rules that allow us to simplify terms that contain exponents.

Negative exponent property states that when a negative exponent is present, the base and the exponent are switched and the sign of the exponent is changed. For example,  x-2 = 1/x2.

The product of powers property states that when two terms with the same base are multiplied, the exponents are added together. For example, x3 x4 = x7.

The quotient of powers property states that when two terms with the same base are divided, the exponents are subtracted. For example, x6/x2 = x4.

The power of a power property states that when a term with an exponent is raised to another power, the exponents are multiplied. For example, (x3)2 = x6.

These properties can be used to simplify expressions that contain exponents. For example, the expression (−2m−2????4) 3 can be simplified using the power of a power property by multiplying the exponents. The expression simplifies to −2m−6????12.

Learn more about negative exponent here:

https://brainly.com/question/29009712

#SPJ4

Answer:

I am not the best in this type of math, the best thing I can do is help you.

You see that there is a pattern in the chart? X adds 2 every column, and Y adds 4 every column.

I believe the slope simplified is 2/1, if you are following y/x. If not, then the other way around.  

Unfortunately, I can't help you with the rest of the problem, but I hope you can get a good idea of what your supposed to do.

Have a good day.

The range of the function g(x) = |x - 12| - 2 is {y | y > -2}, indicating that the function can take any value greater than -2.

To find the range of the function g(x) = |x - 12| - 2, we need to determine the set of all possible values that the function can take.

The absolute value function |x - 12| represents the distance between x and 12 on the number line. Since the absolute value always results in a non-negative value, the expression |x - 12| will always be greater than or equal to 0.

By subtracting 2 from |x - 12|, we shift the entire range downward by 2 units. This means that the minimum value of g(x) will be -2.

Therefore, the range of g(x) can be written as {y | y > -2}, which means that the function can take any value greater than -2. In other words, the range includes all real numbers greater than -2.

Visually, if we were to plot the graph of g(x), it would be a V-shaped graph with the vertex at (12, -2) and the arms extending upward infinitely. The function will never be less than -2 since we are subtracting 2 from the absolute value.

for similar questions on  range of the function.

https://brainly.com/question/29017978

#SPJ8

Answer:

Use photo math. It even show the work too, that's what I use. Im no smart in math

Step-by-step explanation:

Answer:

Why does it say download PDF?

Answer

What event will cost the least for 9 tickets?

the wave pool

How much less will this event cost?

$20.25

Hope it helps :)

Step-by-step explanation:

Answer:

Mon - Fri: 4 days 4*30 = 120 bars given away. 225 - 120 = 135 bars

Step-by-step explanation:

The stationary distribution (vector) π can be found as (C/A)ci / (co + ao).

The Ehrenfest urn problem can be generalized such that it considers m urns and n particles. The dynamics proceeds by randomly picking a particle of the first type, picking a particle of the second type, and then exchanging the two. This can only happen provided they are in different urns. Random picking is uniform over particles of that type.

There are two types of assets, dollars and stocks, in this model of a simple financial market, where there are m traders who have total assets.

Suppose that the total number of dollars in the market is C and the total number of stocks is A.

For simplicity, assume that ao + co ≤ min{A, C}.

The processes c = {ck}k ∈ N and a = {ak}k ∈ N evolve randomly, and the trader may not buy or sell at all on some time steps.

In spite of that, c is a Markov chain and the stationary distribution (vector) π can be found. The reason c is a Markov chain is that it satisfies the Markov property, which states that the future state of a process depends only on the present state and not on its history.

A Markov chain is therefore defined by its state space, which in this case is {0, 1, ..., A + C}, and its transition probabilities.

The transition probabilities for this model are given as follows:

P(i, i + 1) = min{ci, A − ai} / ACP(i, i − 1) = min{ai, C − ci} / C ( where i is the present state of the system)

For the stationary distribution (vector) π, we can use the balance equations as follows:

π(i) P(i, i + 1) = π(i + 1) P(i + 1, i)     [for i = 0, 1, ..., A + C − 1 ]

This can be used to obtain the balance equations that are needed to find π(0), π(1), ..., π(A + C).

The solution is given by:

π(i) = (C/A)ci / (co + ao) for i = 0, 1, ..., min{A, C}.

Therefore, the stationary distribution (vector) π can be found as (C/A)ci / (co + ao).

Learn more about : Statistics - https://brainly.com/question/31270186

#SPJ11

Answer:

468 in ^2; a

Step-by-step explanation:

Add each side of the prism;

Base: 15*10 = 150

Rectangular sides: 10*12+9*10 = 210

Triangular sides (x2): ((9*12)/2)*2 = 108

108+210+150 = 468 in ^2

Step-by-step explanation:

To find the percent change in price of the four new tires, we can use the formula:

percent change = (new value - old value) / old value * 100%

Here, the old value is $638 and the new value is $523.

percent change = ($523 - $638) / $638 * 100%

percent change = -$115 / $638 * 100%

percent change = -0.18 * 100%

percent change = -18%

The result is a decrease of 18%, so the answer is A. 18% decrease.

Okay, let's solve this step-by-step:

Original price of 4 tires: $638

New price of 4 tires: $523

To calculate the percent change, we use the formula:

Percent Change = (New Price - Original Price) / Original Price

So in this case:

Percent Change = ($523 - $638) / $638 = -$115 / $638 = -0.18 = 18%

Since the new price is less than the original price, this is a decrease.

Therefore, the answer is A: 18% decrease

So the answer is A: 18% decrease

Answer:

you perimeter is 63 units

Step-by-step explanation:

The perimeter of the octagon is,

⇒ 63 units

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

A octagon is shown in figure.

Now, We get;

The perimeter of the octagon is,

⇒ 13 + 9 + 8 + 5 + 4 + 13 + 5 + 6

⇒ 63 units

Thus, The perimeter of the octagon is,

⇒ 63 units

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ5

Answer:

13 feet

Step-by-step explanation:

You add both and get the total distance.

4 1/2 + 8 1/2 is also 4.5 + 8.5 = 13 feet

15y - 9 < 36

add 9 to both-side of the equation

15y < 36 + 9

15y < 45

Divide both-side of the equation by 15

y < 3

Answer:

60x-4

Step-by-step explanation:

39x+21x=60x

Therefore, you are left with 60x-4, which is in its simplest form.

Answer:

y= -3

Step-by-step explanation:

adding both the equation we get x= 7

and then put value of x in any one equation u will get y as -3

On solving the given set of equations, we get the value of y = 3.

A set of equations having two or more variables whose values ​​can satisfy all the equations in the set at the same time, with the number of variables equal to or fewer than the number of equations in the set is called simultaneous equations.

We are given a set of simultaneous equations in x and y,

x + 2y = 1

x - 2y = 13.

We are asked to find the value of y.

Let the equations

x + 2y = 1... (i)

x 2y = 13 ... (ii).

To solve for y, we subtract (i) from (ii) to get,

\(x - 2y = 13\\x+2y=1\\(-)(-)(-)\\------\\-4y = 12\)

∴ We get -4y = 12.

Dividing both sides of this equation by -4, we get,

(-4y)/(-4) = 12/(-4)

or, y = -3.

∴ On solving the given set of the equation we get the value of y = 3.

Learn more about simultaneous equations at

brainly.com/question/148035

#SPJ2

The answer is D. None of the above, the long-term DPMO is 25137, which is equivalent to a Z-value of 3.46. The short-term Z-value is usually 1.5 to 2 times the long-term Z-value,

so it would be between 5.19 and 6.92. However, these values are not listed as answer choices. The Z-value is a measure of how many standard deviations a particular point is away from the mean. In the case of DPMO, the mean is 6686. So, a Z-value of 3.46 means that the long-term defect rate is 3.46 standard deviations away from the mean.

The short-term Z-value is usually 1.5 to 2 times the long-term Z-value. This is because the short-term process is more variable than the long-term process. So, the short-term Z-value would be between 5.19 and 6.92.

However, none of these values are listed as answer choices. Therefore, the correct answer is D. None of the above.

To know more about variable click here

brainly.com/question/2466865

#SPJ11

Answer:

(-1,6)

Step-by-step explanation:

use the midpoint formula

\((\frac{x1 +x2}{2} , \frac{y1+y2}{2} )\)

plug in the given values

you should get

(-1,6)

The total amount of payments over 11 years at a 0.40% interest rate compounded annually approximately $732.62.

Given that the data:

Principal payment  P = $700

Annual interest rate = 0.40% or 0.004

and  Number of years t = 11 years.

To find the total amount of payments over 11 years at a 0.40% annual interest rate compounded annually,  use the formula for compound interest:

\(A = P(1 + r/n)^{nt\)

Where,

A = total amount,

n = number of times interest is compounded per year,

Put given values in above formula and calculate as:

\(A = 700(1 + 0.004/1)^{1\times11\)

\(A = 700(1.004)^{11\)

A ≈ 700(1.0466)

A ≈ $732.62

Therefore, the total amount of payments over 11 years at a 0.40% interest rate compounded annually would be approximately $732.62.

Learn more about Compound Interest here:

https://brainly.com/question/14295570

#SPJ4

The complete question:

Payments of $700 for 11 years at 0.40% compounded annually. Find the total amount.

Answer:

D)

\(5 \times {10}^{ - 12} \)

Step-by-step explanation:

velocity(v) = distance/time

but distance =

\(3 \times {10}^{ - 4} \)

and velocity =

\(6 \times {10}^{7} \)

\(6 \times {10}^{7} = \frac{3 \times {10}^{ - 4} }{time} \)

\(time = \frac{3 \times {10}^{ - 4} }{6 \times {10}^{7} } \)

\(time = 5 \times {10}^{ - 12} \)

Answer:

yes; by AA~

Step-by-step explanation:

The triangles are similar because vertical angles are congruent and alternate interior angles are both 39 degrees.

This means that there is an error in the given measurements or in the setup of the problem. Please double-check the values and the problem statement.

Since quadrilateral HIJK is similar to quadrilateral LMNO, their corresponding sides are proportional. Let's use this fact to find the length of side NO.

We know that:

- JN corresponds to LM

- KI corresponds to NO

- HI corresponds to LO

- JK corresponds to LN

Using the given measurements:

- JN = 18

- KI = 13.9

- M = 42

- HL = ?

To find the length of HL, we can use the fact that the corresponding sides are proportional. We can set up the following proportion:

```

JN / LM = KI / NO

```

Substituting the given values:

```

18 / LM = 13.9 / NO

```

Cross-multiplying and solving for NO:

```

18 * NO = 13.9 * LM

NO = (13.9 * LM) / 18

```

We also know that:

```

LN = JK = HI + KI

```

Substituting the given values:

```

LN = JK = HI + KI = HL + LO + KI

```

Rearranging and substituting the given values:

```

HL = LN - LO - KI

HL = JK - M - KI

HL = 42 - 13.9 - 42

HL = -13.9

```

However, the value we obtained for HL is negative, which doesn't make sense since we are dealing with lengths. This means that there is an error in the given measurements or in the setup of the problem. Please double-check the values and the problem statement.

Learn more about measurements

brainly.com/question/28913275

#SPJ11

If one math student john, can solve 6 math problems in 20 minutes while another student, juaquine, can solve the same 6 math problems at a rate of 1 problem per 4 minutes. The person that work faster is John.

First step is to find the speed of John

Speed =  Number of math problems /Number of minutes  

Speed=  6/20

Speed = 0.3 problem per minute

Second step is to find the speed of Juaquine

Speed =  1 / 4  

Speed =  0.25 problem per minute

Hence.

0.3 ≥ 0.25

Therefore John has the fastest speed.

Learn more about speed here: https://brainly.com/question/13943409

#SPJ1

A stationary probability distribution is a probability distribution that remains unchanged over time, even as the system it describes undergoes stochastic processes. It is also called a steady-state distribution.

To find the stationary probability distribution π for the given continuous-time Markov chain, we need to solve the detailed balance equations. These equations state that for any two states i and j,
π(i) q(i,j) = π(j) q(j,i)
Substituting the given values of q, we get:
π(0) β = π(1) α
π(1) β = π(2) α
Also, we know that the probabilities must add up to 1:
π(0) + π(1) + π(2) = 1
Solving these equations, we get:
π(0) = αβ/(αβ + β² + α²)
π(1) = βα/(αβ + β² + α²)
π(2) = β²/(αβ + β² + α²)
Therefore, the stationary probability distribution π is (αβ/(αβ + β² + α²), βα/(αβ + β² + α²), β²/(αβ + β² + α²)).

To know more about stationary probability distribution visit:

https://brainly.com/question/23858250

#SPJ11

Answer:

the missing numbers be 60 and 6 respectively

Step-by-step explanation:

The computation of the missing numbers are shown below:

Let us assume the missing numbers be x

a/

, \(\frac{1}{2} \times 30 = \frac{1}{4} \times x\\\\15 = \frac{1}{4} \times x\\\\x = 60\)

b.

\(\frac{1}{3} \times 12 = \frac{2}{3} \times x\\\\4 = \frac{2}{3} \times x\\\\x = 6\)

Hence, the missing numbers be 60 and 6 respectively

Answer:

$7 ; $4 ; $3

Step-by-step explanation:

Given that:

1 player loses and 2 wins

Loser pays each winner amount each winner already has

3 rounds was played

At the end, each player has lost 1 round each and has $8.00

Since each player lost 1 round each, then each player won twice.

Given that the players are A, B and C

Starting from the last round :

Recall; they all have $8 after the last round.

If A lost the last round and pays B and C the amount they already have.

B and C finally have $8, Hence amount A paid B and C = 8/2 = $4 each

Hence, at the end of 2nd round / before last round :

A has ($8 paid + $8 final) = $16

B and C each have $4

End of first round before 2nd round of game:

If B lost, and pays A and C the amount they already have ;

A finally has 16 hence, amount B pays A = 16/2 = $8

Amount B pays C = 4/2 = $2

A = $8

B = $4 + $(8 + 2) = $14

C = $2

Ist round

C will lose :

Amount C pays B = $14 / 2 = $7

Amount C pays A = $8 /2 = $4

Hence, amount C has before round 1:

$7 + $4 + $2 = $13

Hence; Before the game ;

Either of the three players have ;

$7 ; $4 and $13