Your hourly wage is $10.05 per hr when you work during the day and $12.01 per hr when you work the night shift .what is your gross pay for one week if you worked 24 hrs at night and 16 hrs during the day.

Answer:

see explanation

Step-by-step explanation:

1

4(5 + 3n) - 7 ← distribute parenthesis by 4

= 20 + 12n - 7 ← collect like terms

= 12n + 13

2

6 - (10n + 8) ← distribute parenthesis by - 1

= 6 - 10n - 8 ← collect like terms

= - 10n - 2

combining (adding) the 2 expressions

12n + 13 - 10n - 2 ← collect like terms

= 2n + 11

Answer: y=-x+17

-1 ==> slope

(0, 17)

Step-by-step explanation:

x+y=17

x-x+y=17-x

y=-x+17

-x/x=-1 ==> slope

y=-x+17

y=-(0)+17

y=17 ==> (0, 17)

[tex]6[/tex][tex]x^{12}[/tex][tex]y^{11}[/tex][tex]z^{19}[/tex][tex]\sqrt{5xyz}[/tex]

How do you define the square root of a number?

In mathematics, a square root of a number x is a number y such that y^2 = x; in other words, a number y whose square (the result of multiplying the number by itself, or y ⋅ y) is x. For example, 4 and −4 are square roots of 16, because 42 = (−4)2 = 16.

[tex]\sqrt{180x^{25 } y^{23} z^{39}[/tex]

[tex]180 = 2*2*3*3*5\\x^{25} = x*x*x........*x 25 times\\y^{23}= y*y*y.........*y 23 times\\ z^{39} = z*z*z........*z 39 times[/tex]

we have

square terms comes out

x is 25 times so we can write x as [tex](x^{12})^{2}[/tex] [tex]*[/tex][tex]x[/tex] therefore [tex]x^{12}[/tex] comes out and only left inside is x

similarly [tex](y^{11})^{2}[/tex] [tex]*y[/tex] therefore [tex]y^{11}[/tex] comes out and only left inside is y

[tex](z^{19})^{2} *z[/tex] therefore [tex]z^{19}[/tex] comes out and left inside is z

then the expression become

[tex]6[/tex][tex]x^{12}[/tex][tex]y^{11}[/tex][tex]z^{19}[/tex][tex]\sqrt{5xyz}[/tex]

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Answer:

9600 divided by 30 is 320

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Answer:

[tex]x=29[/tex]

Step-by-step explanation:

These two angles add up to 180 degrees. We can make an equation saying that [tex](2x+6)+4x=180[/tex]. Simplifying, we get [tex]6x+6=180\\[/tex].

Now when we subtract 6 from both sides we get [tex]6x=174[/tex]. Then we divide both sides by 6 to get our final answer: [tex]x=29[/tex]

Hope this helps!

Initial estimates of the probabilities of events are known as prior probabilities.

Prior probability, in Bayesian statistics, is the probability of an event before new data is collected. This is the best rational assessment of the probability of an outcome based on the current knowledge before an experiment is performed.

The prior probability of an event will be revised as new data or information becomes available, to produce a more accurate measure of a potential outcome. That revised probability becomes the posterior probability and is calculated using Bayes' theorem. In statistical terms, the posterior probability is the probability of event A occurring given that event B has occurred.

The prior probability is the probability assigned to an event before the arrival of some information that makes it necessary to revise the assigned probability. The revision of the prior is carried out using Bayes' rule. The new probability assigned to the event after the revision is called posterior probability.

Initial estimates of the probabilities of events are known as prior probabilities.

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Answer:

25x^2 -9

Step-by-step explanation:

(5x+3)(5x-3)

FOIL

first  5x*5x = 25x^2

outer 5x*-3 = -15x

inner 3*5x = 15x

last = 3*-3 = -9

Add them together  25x^2 -15x+15x -9

Combine terms  25x^2 -9

Answer:

[tex] \sf25 {x}^{2} - 9[/tex]

Step-by-step explanation:

We can use Foil method to find the answer for this expression.

(5x + 3) (5x - 3)

That is:

F --> First ---> (5x)(5x)

O --> Outside ---> (5x) (-3)

I --> Inside ---> (3)(5x)

L --> Last ---> (3) (-3)

And now we have to add those terms together while combining like terms.

[tex] \sf(5x)(5x) + (5x)( - 3) + (3)(5x) + (3)( - 3) \\ \sf25 {x}^{2} - 15x + 15x - 9 \\ \sf25 {x}^{2} - 9[/tex]

Since they're in arithmetic progression, there is a constant difference between consecutive terms of

[tex](7x - 7) - (x - 1) = 6x - 6[/tex]

Recursively, the sequence is given by

[tex]\begin{cases} a_1 = x-1 \\ a_n = a_{n-1} + 6x - 6 & \text{for }n\ge2\end{cases}[/tex]

By substitution, we have

[tex]a_2 = a_1 + 6x-6[/tex]

[tex]a_3 = a_2 + 6x-6 = a_1 + 2(6x-6)[/tex]

[tex]a_4 = a_3 + 6x-6 = a_1 + 3(6x-6)[/tex]

and so on, up to the 14th term

[tex]a_{14} = a_1 + 13(6x-6)[/tex]

[tex]a_{14} = (x-1) + 78 (x - 1)[/tex]

[tex]a_{17} = 79 (x - 1) = \boxed{79x-79}[/tex]

Answer:

I graphed the two equations for you. The point one which is selected is the solution to the system of equations.

Step-by-step explanation:

Please see attachment below.

Hope this helps!

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Answer:

-2.04

Step-by-step explanation:

it'll be

-1.34 - 0.7 = y

- 2.04 = y

Answer:

63

Step-by-step explanation:

Value dropped = 2500 - 2248 = 252

divide 252 across 4 months

252/4 = 63

The average monthly change in the value of the investment is $63.

Given that, Evan invested $2500 in the stock market. Four months later, the value of the investment dropped to $2248.

Investment definition is an asset acquired or invested in to build wealth and save money from the hard earned income or appreciation. Investment meaning is primarily to obtain an additional source of income or gain profit from the investment over a specific period of time.

Now, change in investment is

2500-2248 = 252

The average monthly change

= 252/4

= 63

Hence, the average monthly change in the value of the investment is $63.

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Answer:

1.3

2.5

3.7

4.95.0

5.38

6.67

Step-by-step explanation:

Answer:

Step-by-step explanation:

34

45

11

9

78

56

Answer:

A = .05 and B = .08 so A is the better buy

Step-by-step explanation:

In each case, divide total cost by number of units to get unit cost.

For a particle moving uniformly along the x axis is located at 16.5 m at 1.82 s and at 4.97 m at 3.81 s, the displacement is -11.53 m

For given question,

A particle moving uniformly along the x axis is located at 16.5 m at 1.82 s and at 4.97 m at 3.81 s.

We can observe that, for t1 = 1.82 s and t2 = 3.81 s

object is moving from right to left along the x axis.

We know that, the displacement of a particle moving in a straight line is the change in its position.

so, d = 4.97 - 16.5

d = -11.53

The negative sign indicates that the object is moving from right to left along the x axis  for t1 = 1.82 s and t2 = 3.81 s

Therefore, for a particle moving uniformly along the x axis is located at 16.5 m at 1.82 s and at 4.97 m at 3.81 s, the displacement is -11.53m.

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Answer:

13

Step-by-step explanation:

You just have to minus 17 with 4 to get the answer!

Distance = 17 - 4 = 13 units

Answer:

1. [tex](x-6)^{2}[/tex]

2. [tex](x +11)^2[/tex]

3. [tex](x-4y)^{2}[/tex]

4. [tex](5x - y)^2[/tex]

Step-by-step explanation:

1. [tex]x^{2} -12x +36[/tex] ---> [tex](x-6)^{2}[/tex]

2. [tex]x^{2} +22x + 121[/tex] ---> [tex](x +11)^2[/tex]

3. [tex]x^{2} -8xy+16y^{2}[/tex] ---> [tex](x-4y)^{2}[/tex]

4. [tex]25x^2-10xy + y^2[/tex] ---> [tex](5x - y)^2[/tex]

The equation of the graph is (x-3)(x+1), the y-intercept of y=[tex]x^{2} -5x+4[/tex] is "4" and the factors of  y=[tex]x^{2} -5x+4[/tex] are (x-4) ad (x-1)

Given that a graph touch x-axis at 2 points i.e. 2 roots are there for given graph.The graph touches the x-axis at (3,0) and (-1,0) it implies x=3 and x=-1 are the solutions the equation,(x-3) and (x+1) are factors of equation

Therefore,the equation of graph is  (x-3)(x+1).

Given the equation y=[tex]x^{2} -5x+4[/tex]

The y-intercept is defined as the graph passing a fixed point at x=0 line

i.e.(0,c) pass through it . c is the y-intercept

c=0-0+4

c=4

Therefore,The y-intercept of  the equation y=[tex]x^{2} -5x+4[/tex] is 4

Factorising  y=[tex]x^{2} -5x+4[/tex]

⇒  y=[tex]x^{2} -5x+4[/tex]

⇒y=[tex]x^{2} -x-4x+4[/tex]

⇒y=x(x-1)-4(x-1)

⇒y=(x-4)(x-1)

Therefore, the factors of  y=[tex]x^{2} -5x+4[/tex] are (x-4) and(x-1)

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Answer: (2) 1010025

Step-by-step explanation:

Let's find the sum of 1+3+5+7+...+2007+2009

Let's use the formulas for an arithmetic progression:

[tex]a_1=1\ \ \ a+2=3\\d=a_2-a_1\\d=3-1\\d=2[/tex]

[tex]a_1 =1\ \ \ \ a_n=2009\\a_n=a_1+(n-1)d\\\Rightarrow\ 2009=1+(n-1)2\\\Rightarrow \ 2009=1+2n-2\\\Rightarrow\ 2009=-1+2n\\\Rightarrow\ 2010=2n\\[/tex]

Divide both parts of the equation by 2:

[tex]1005=n[/tex]

Hence,

[tex]\displaystyle\\S=\frac{a_1+a_n}{2} n\\\\S=\frac{1+2009}{2}1005\\\\S=\frac{2010}{2} 1005\\\\S=1005*1005\\\\S=1010025[/tex]

Answer:

yes

Step-by-step explanation:

28/4 = 7 teams

1 is left without a team

The standard deviation is 2.83 if the sum of squares for a sample containing 51 items equals 400 option (D) is correct.

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

[tex]\rm SD = \sqrt{\dfrac{ \sum (x_i-X)^2}{n-1}[/tex]

SD is the standard deviation

xi is each value from the data set

X is the mean of the data set

n is the number of observations in the data set.

∑(x(i) - X)² = 400

n = 51

SD = √(400/51-1)

SD = √8

SD = 2.828 ≈ 2.83

Thus, the standard deviation is 2.83 if the sum of squares for a sample containing 51 items equals 400 option (D) is correct.

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False. All real numbers, with the exception of 0 because f (0) = 1 0, fall inside the reciprocal function's domain and range. Y cannot be 0 if x cannot, either.

In mathematics, a real number is a quantity that may be represented by an endless number of decimal expansions. In contrast to the natural numbers 1, 2, 3,... that result from counting, real numbers are used in measurements of continuously varying quantities such as size and time. They are distinguished from imaginary numbers, which use the symbol I or the square root of 1, by the word "real." A complex number has a real (1) and an imaginary I component, like 1 + i. The positive and negative integers, as well as the fractions created from them (also known as rational numbers), as well as the irrational numbers, are all real numbers.

Contrary to rational numbers, whose decimal expansions always contain a digit or group of digits that repeats itself, such as 1/6 = 0.16666... or 2/7 = 0.285714285714, irrational numbers have decimal expansions that do not repeat themselves. Since there is no regularly repeating group in the decimal produced as 0.42442444244442, it is irrational.

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R, S, and T are collinear . Then 13 is  the length of RS.

What do collinear points mean?

The question to know

RS + ST = RT

RS = w + 1 ,  ST = w - 1

RT = 18

2w + 1 + w - 1  = 18

3w = 18

w = 18/3

w = 6

RS = 2 * 6 + 1 = 13

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Answer:

one solution

Step-by-step explanation:

-7 works

7 does not

The mistake done by Noah in his construction is that; length of the line segment AB and AC should be equal.

The steps in bisecting an angle say PQR is as follows;

Start with angle PQR that we will bisect.

1.  Place the compasses' point on the angle's vertex Q.

2.  Adjust the compasses to a medium wide setting. The exact width is not important.

3.  Without changing the compasses' width, draw an arc across each leg of the angle.

4.  The compasses' width can be changed here if desired. Recommended: leave it the same.

5.  Place the compasses on the point where one arc crosses a leg and draw an arc in the interior of the angle.

6.  Without changing the compasses setting repeat for the other leg so that the two arcs cross.

7.  Using a straightedge or ruler, draw a line from the vertex to the point where the arcs cross.

8. This is the bisector of the angle ∠PQR.

Therefore, the mistake done by Noah is that length of the line segment AB and AC should be equal in order to bisect it.

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