Explain the order in which to simplify the following and then simplify it.

It is not okay to conduct the simulation because people generally favor some numbers.

From the information given, the student wants to simulate 37 birthdays, but she does not have a calculator or software program available.

In this case, it's not okay to conduct the simulation because people generally favor some numbers.

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Answer: 2.8%

Step-by-step explanation:

On the first roll, probability to get a 3 is 1/6.

On the second roll probability to get a 4 is also 1/6.

To get both of these numbers together, you need to multiply the two probabilities.

1/6 x 1/6 = 1/36.

1/36 = ~2.8

2.8%

Answer: 2.8%

Step-by-step explanation: I got it right on the test.

Answer:

Step-by-step explanation:

4c + 11 = -25

4c = -25 - 11

4c = -36

c = -36 : 4

c = -9

or

4c + 11 + 25 = 0

4c + 36 = 0

c = (-36)/4

c = -9

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

check

4 *(-9) + 11 = -25

-36 + 11 = -25

-25 = -25

the answer is good

Answer:

c= -9

Step-by-step explanation:

1. 4c + 11 = -25

2. Put all like terms together and change the sign. In this case, the +11 will go to the right with the -25 and it will become -11.

Therefore:

4c= -25 -11

4c= -36

3. Make c the subject. Since 4 is being multiplied by c, when it goes to the right, it will divide.

Therefore:

c= -36/4

c= -9

Answer:

6, -2

Step-by-step explanation:

basically It asks you what's x when y=2, which on the graph is 6, -2, and -5 I think. but there is no point on the -5 so we don't need to talk about that one.

Answer: [tex]-4\left(\frac{1}{2} \right)^{x}[/tex]

Step-by-step explanation:

To reflect the graph of a function across the x-axis,

[tex]y=f(x) \longrightarrow y=-f(x)[/tex]

Answer:

c

Step-by-step explanation:

The integral of [tex]f(x)[/tex] over the interval [tex][-a,a][/tex] corresponds to the area of a semicircle of radius [tex]a[/tex], so

[tex]\displaystyle \int_{-a}^a f(x) \, dx = \frac{\pi a^2}2[/tex]

The integral over [tex][a,3a][/tex] corresponds to the negative area of a trapezoid with height [tex]a[/tex] and base lengths [tex]2a[/tex] and [tex]a[/tex], so

[tex]\displaystyle \int_a^{3a} f(x) \, dx = -\frac{a(2a+a)}2 = -\frac{3a^2}2[/tex]

Then combining the integrals, we have

[tex]\displaystyle \int_{-a}^{3a} f(x) \, dx = \frac{\pi a^2}2 + \left(-\frac{3a^2}2\right) = \frac{(\pi-3)a^2}2[/tex]

When [tex]a=9[/tex], the integral evaluates to

[tex]\displaystyle \int_{-9}^{27} f(x) \, dx = \frac{(\pi-3)\times81}2 \approx \boxed{5.7345}[/tex][/tex]

The viewer mistakenly determined that one of the equations in the system should be 2 x + y = 28. Instead modifications should have been made before applying the equation.

An equation is a mathematical statement formed when two algebraic expressions are equated using an equal sign.

Total Questions = 20

Total Points = 28

Correct Answers = +2 points

Incorrect Answers = -1 point

The viewer represents the correct answers with x and the incorrect ones with y.

x+y = 20

for every correct answers 2 points;

and for every incorrect answers, -1 point

This can be written as

2x-y = 28

The viewer's mistake is that; instead of subtracting total incorrect points from the correct points, the viewer added them together;

now

2x-y = 28

x+y = 20

On adding the equations

]3x = 48

x = 16

y = 4

This means that the contestant answered 16 questions correctly and 4 questions incorrectly

The viewer mistakenly determined that one of the equations in the system should be 2 x + y = 28.

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Answer:

c

Step-by-step explanation:

answer is C . First last digits are forty you will have down 2 answers

Answer:

the answer to the question is C

Answer:

x = [tex]\frac{7}{5}[/tex]

Step-by-step explanation:

To solve for x, we need to isolate it [get it alone on one side]

We should start by simplifying (combining the like-terms of our equation):

5 + 5 = 5x + 5 - 2

10 = 5x + 3

- 3         - 3        (subtract 3 from both sides to isolate x)

7 = 5x

÷5  ÷5   (divide both sides by 5 to find "1"x)

[tex]\frac{7}{5}=x[/tex]  

So, x = [tex]\frac{7}{5}[/tex]

(x = 7/5)

hope this helps!!

5 + 5 = 5x + 5 - 2

Answer :

[tex]x = \frac{7}{5} [/tex]

Step-by-step explanation:

5 + 5 = 5x + 5 - 2

10 = 5x + 3

Take 3 to the other side

10 - 3 = 5x

7 = 5x

[tex] \frac{7}{5} = x[/tex]

[tex]x = \frac{7}{5} [/tex]

Answer:

w is the correct answer

Step-by-step explanation:

[tex]y \leqslant \frac{1}{3} x - 2[/tex]

If we choose the point (3, 0), we obtain

0 <= -1, which is not true. So we shade the region to the left of x = 4 (which is a dashed vertical line) and below

y = (1/3)x - 2 (which is a solid line).

Answer:

1256 cm

Step-by-step explanation:

First we must find the perimeter, because the perimeter is equal to 1 revolution.

The perimeter of any circle is Pi(Diameter)

3.14*20

62.8 cm is the perimeter of the bike wheel.

Because the perimeter is basically a revolution, we can multiply 62.8 by 20 to get:

1256 cm

Answer:

1331 bacteria

Step-by-step explanation:

Number bact =  1000 e^kt

   1100            =  1000 e^k4

        shows k = .023827545

Now for 12 hours

    x = 1000 e^(.023827545 * 12)

         = 1331

i realized my answer is wrong.

Answer:

x = 5 (If solved algebraically)

No Solution (If the parentheses are absolute value lines)

Step-by-step explanation:

Result when solving this way: 3|-3x + 9| = -18

1) Divide both sides by 3
|-3x + 9| = -18/3

2) Simplify 18/3 to 6

|-3x + 9| = -6

3)  Break down the problem into these 2 equations.

-3x + 9 = -6

- (-3x + 9) = -6

4) Solve the 1st equation: -3x + 9 = -6

- Subtract 1 from both sides.

-3x = -6 - 9

-Simplify -6 - 9 to -15.

-3x = -15

-Divide both sides by -3.

x = -15/-3

- Two negatives make a positive.

x = 15/3

- Simplify 15/3 to 5.

x = 5

6)  Solve the 2nd equation:  - (-3x+ 9) = -6

1 - Remove parentheses

3x - 9 = -6

2 - Add 9 to both sides

3x = -6 + 9

3 - Simplify -6 + 9 to 3.

3x = 3

- Divide both sides by 3.

x = 1

6) Collect all solutions.

x = 1,5

7) Check solution.

When x = 1, the original equation 3|-3x + 9| = -18 does not hold true.

We will drop x = 1 from the solution set.

8) Check solution.

When x = 5, the original equation 3|-3x + 9| = -18  does not hold true.

We will drop x = 5 from the solution set.

9) Therefore,

No solution exists.

Result when solving algebraically:

Simplifying

3(-3x + 9) = -18

Reorder the terms:

3(9 + -3x) = -18

(9 * 3 + -3x * 3) = -18

(27 + -9x) = -18

Solving

27 + -9x = -18

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-27' to each side of the equation.

27 + -27 + -9x = -18 + -27

Combine like terms: 27 + -27 = 0

0 + -9x = -18 + -27

-9x = -18 + -27

Combine like terms: -18 + -27 = -45

-9x = -45

Divide each side by '-9'.

x = 5

Simplifying

x = 5

The value of the asset in 2012, 2014, and 2017 are 8119.72, 13933.55 and, 31321.23, respectively. A function assigns the values.

A function assigns the value of each element of one set to the other specific element of another set.

Given the assets (in billions of dollars) for a financial firm can be approximated by the function [tex]A(x)=318e^{0.27x}[/tex], where x=7 corresponds to the year 2007. Therefore, the assets value in the following years will be,

A.) 2012 - [tex]A(12)=318e^{0.27\times 12} = 8,119.72[/tex]

B.) 2014 - [tex]A(14)=318e^{0.27\times 14} = 13,933.5[/tex]

C.) 2012 - [tex]A(17)=318e^{0.27\times 17} = 31,321.23[/tex]

Hence, the value of the asset in 2012, 2014, and 2017 are 8119.72, 13933.55 and, 31321.23, respectively.

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Arturo receives $90 more in the first week of work than the second.

The time a person spends engaged in compensated work is referred to as working time.

Given,

First Week Working hours = 40 hours,    per hour rate = $12

The second-week working hours = 30,   per hour rate = $13 (With raise of $1)

Calculation of Wages

First Week wages = Total Weekly Hours ×  Per Hour rate

                                     = 40 × 12 =$480

Second Week wages = Total Weekly Hours ×  Per Hour rate

                                    = 30 × 13 =$390

The difference between the First week's wages and the Second week's wages is $90 ($480 - $390).      

Thus, Arturo earn $90 more in the first week as compared to the second week.

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At noon, the temperatures in Portland, Maine and Phoenix, Arizona had opposite values. is mathematically given as

Generally, the equation  for the temperature at Portland, Maine is mathematically given as

PoT=-PhT

Since  Portland, Maine and Phoenix, Arizona had opposite values. The temperature in Portland was lower than in Phoenix.

In conclusion, the temperature in each city is

PoT=-PhT

PhT =+PoT

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Answer:

Money saved  = $18

Step-by-step explanation:

Firstly, the term discount equals the difference between the price paid for and it's par value. Discount is a kind of reduction or deduction in the cost price of a product.

Given

Cost of an Item = 60$

Discount % = 30% on cost

Hence, Discount in $ = 60$*30%

                                   = 18$

Actual Cost = 60$ - 18$ = 42$

Therefore, Savings  = Discount

                    = 18$

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The slope of the line and describe is the negative 0.5 which means in this situation will be negative 0.5 miles per minute.

The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall, and the difference between the abscissa is called run.

Joseph drove from his summer home to his place of work.

To avoid the road construction, Joseph decided to travel the gravel road.

After driving 20 minutes, he was 62 miles away from work, and after driving 40 minutes, he was 52 miles away from work.

This situation is shown in the graph below.

Then the slope of the line and describe what it means in this situation will be

Slope = (52 – 62) / (40 – 20)

Slope = – 10 / 20

Slope = – 0.5 miles per minute

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Rate of change (ROC) refers to how quickly something changes over time.

Given data :

The rate of change will be the same for all years. The rate of change is 7%. The . basic formula for this equation is: I(1+R)^T, where I = Initial amount, R = Rate of growth, and T = Time. So the R here is 0.07, or 7%. The growth RATE is constant, the growth AMOUNT will increase each year.

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According to the updated budget, the net income should be at least $2100.

A budget is an estimated strategy for a certain timeframe, mostly one year. Additionally, projected material amounts, expenditures, liabilities, holdings, responsibilities, and working capital may be included.

The following list explains why the figures shown above are accurate:

The factors for the costs in the previous budget are;

Net income =$1,850.00

Cost of rent =$600

Gas, vehicle payment, and insurance together = $475.

Cost of phone, online world, and utility companies = $230.

Cost of grocery stores= $300

Cost of amusement= $50

Cost of homeowners insurance = $20.

$75 has been set aside for recreational expenditures.

Net monthly savings = $100.

Modifications to the spending plan:

$50 is the allotted sum for a computer system.

Monthly net savings = $300

∴Savings increases= $300-$100=$200

Previous net income+ cost of computer system+ 200(extra savings than previous)

= $(1850+50+200)

=$2100

So,Net earnings = $2,100

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Answer:

B

Step-by-step explanation:

x = y-4x^2 can be rearranged to get y = 4x^2 + x, which is a function

[tex]z_{2}-3i=(-4+i)-3i=-4-2i\\\\z_{1}+2=(3-4i)+2=5-4i\\\\(z_{1}+2)-(z_{2}-3i)=(5-4i)-(-4-2i)=9-4i+4+2i=9-2i[/tex]

which corresponds with point C

The expression which is the result of subtracting (z2-3i) from (z1+2) is 9-2i.

Given On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. Point A is (1, -2), B is (1, -6), C is (9,- 2), D is (9, - 6), z 1 is (3, - 4), and z 2 is (- 4, 1).

Coordinate plane is a two dimensional plane formed by the intersection of two number lines. One is horizontal line and one is vertical. On horizontal line x values are denoted and on vertical line y values are written. There can be three dimensional plane also.

z2-3i=(-4+i)-3i=-4-2i

z1+2=(3-4i)+2=5-4i

(z1+2)-(z2-3i)=(5-4i)-(-4-2i)

=9-4i+4+2i

=9-2i

Hence for the expression (z1+2)-(z2-3i)=9-2i

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Answer:

[tex]\frac{3}{7}.v[/tex]    option (C) is correct

Step-by-step explanation:

projection of vectors: The vector projection of one vector over another vector is the length of the shadow of the given vector over another vector.

projection of vector u on v is given by :

Given,

vector u = <5, 7, 1>

vector v = <2, -1, 3>

substituting these values in the above formula

thus the correct answer is option (C)

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The statement first "The lines are perpendicular to each other because -8 and 1/8 are opposite reciprocal of each other" is correct.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have two lines given:

y = -8x - 5/4 ..(1)

y = x/8 + 4/5 ..(2)

Slope of the lines

m(1) = -8

m(2) = 1/8

m(1)m(2) = (-8)(1/8) = -1

Conditions for lines are perpendicular to each other.

Thus, the statement "The lines are perpendicular to each other because -8 and 1/8 are opposite reciprocal of each other" is correct.

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If the graph of a line  in an x y plane and its corresponding equation is given then , all the coordinates of every point on that line will satisfy the equation is a true statement.

An equation of a straight line is given by

y = mx+c

where m is the slope and c is the intercept on y axis.

If the graph of a line  in an x y plane and its corresponding equation is given then , all the coordinates of every point on that line will satisfy the equation .

Even for a scatter plot the line of the best fit is drawn and every point on the line will satisfy the equation.

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Answer:

x is 130°,y is 60°

Step-by-step explanation:

x is corresponding to 130° therefore they are equal to find y since the angle on a straight line is 180° you subtract 180 from 130 and get 50 then you have gotten the other interior angle then add both interior angles and subtract by180 then you get the y

Answer:

both the lines are parallel

therefore, X= 130° ( if two lines are parallel their corresponding angles are equal)

Y + 70° = X ( sum of tow interior angle is equal to exterior)

Y + 70= 130

Y = 130 - 70

Y = 60°

I assume you meant [tex]f(x)=100(0.7)^{x}[/tex]. The graph is shown in the image below.

Answer:

Graph A. On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100).

Step-by-step explanation:

Edge

Answer:

12

Step-by-step explanation:

2k+4= 2*4 +4=8+4=12

hope it will help

Answer:

12

Step-by-step explanation:

Given:

[tex]\displaystyle \sum^n_{k=1}2k+4[/tex]

The 4th term in the sequence is when k = 4.  

Therefore, substitute  k = 4  into  2k + 4:

⇒ 2k+ 4 = 2(4) + 4

              = 8 + 4

              = 12

Therefore, the 4th term in the sequence is 12