How can you determine whether a rational number will have a terminating or a repeating decimal
form? Provide an example of both a terminating and repeating rational number when converted to
decimal form.

Answer:

A.) P^2 - 10p + 24 = 0

B.) 6 or 4 dollars

Step-by-step explanation:

Given that a company’s weekly revenue, in thousands, is modeled by the equation

R = -p2 + 14p,

where p is the price of the product it makes. The company is considering hiring an outside source to distribute its products, which will cost the company 4p + 24 thousand dollars per week.

If the company want to break even, the cost of hiring distributors will be equal to the revenue per week.

Therefore,

-P^2 + 14p = 4p + 24

Collect the like terms

-P^2 + 14p - 4p - 24 = 0

-P^2 + 10p - 24 = 0

Multiply all by minus sign

P^2 - 10p + 24 = 0

B.) To find P, factorize the equation above.

P^2 - 10p + 24 = 0

- 6 x - 4 = 24 and - 6 - 4 = 10

P^2 - 4p - 6p + 24 = 0

P( p - 4 ) - 6( p - 4 )

P - 6 = 0 or p - 4 = 0

P = 6 or 4

Substitute both back into the equation to test their authenticates

When p = 6

6^2 - 10(6) + 24 = 0

When p = 4

4^2 - 10(4) + 24 = 0

Hey there! I'm happy to help!

First, let's add the hundreds and the tens.

300+80=380

We see that there is nothing in the ones place, so we keep our ones place 0 and we move onto adding the tenths.

380+0.9=380.9

We add the hundredths.

380.9+0.06=380.96

And finally, we add the thousandths.

380.96+0.001=380.961

Therefore, this number in standard form is 380.961.

Have a wonderful day! :D

Answer:

380.961

Step-by-step explanation:

300+80=380

0.9+0.06+0.001=.961

380+.961=380.961

since there is nothing in the ones place, keep it 0.

Answer:

Angles 1 and 2 are both obtuse and adjacent.

Step-by-step explanation:

We can go about this systematically.

Acute: They are not acute. Looking at the angles, we can assume that they are greater than 90°.

Right: Greater than 90°, not equal, so not right.

Obtuse: Greater than 90°, so it's obtuse.

Adjacent: The angles are next to each other, so they are adjacent.

Vertical: They share a vertex, but they are not opposite to each other.

Complementary: They do not form a right angle together.

Supplementary: They do not form a straight angle together.

---

I hope this helps, let me know if you have any questions.

Correct Answers:

right

vertical

supplementary

I finished the quiz, it's correct. They're both 90 degree [right] angles, they're across from each other and therefore they're vertical, and they both add up to 180 degrees total, which means that they're supplementary.

Answer:

C. -186,205

Step-by-step explanation:

636,854 - 827,155 + 684,862 - 680,766

=> 1,321,716 - 1,507,921

=> -186,205

The population change of the given data set will be as 82,031,595. so the correct option is C.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Germany has a population of 82,217,800. If there are 636,854 births, 827,155 deaths, 684,862 immigrants, and 680,766 emigrants.

WE need to find the population change.

Now, we have to add the births, deaths and subtact 680,766;

82,217,800 + 636,854 - 827,155 + 684,862 - 680,766

= 82,031,595

Therefore, the population change of the given data set will be as 82,031,595.

So the correct option is C.

Learn more about the unitary method;

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Answer:

[tex]\boxed{92 \: \mathrm{mm}}[/tex]

Step-by-step explanation:

sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]

sin (60) = [tex]\frac{80}{x}[/tex]

x = [tex]\frac{80}{\mathrm{sin} (60)}[/tex]

x = 92.37604307...

x ≈ 92

Using the base dimension and either given angle you can solve for x

Sin(angle) = opposite leg/ hypotenuse

Sin(60) = 80/x

X = 80/sin(60)

X = 80/ sqrt(3)/2

X = 160/3 x sqrt(3). (This is exact answer)

For a decimal answer: 160/3 = 53 1/3

Multiplied by sqrt(3) = 92.376 mm

Rounded to nearest mm = 92

Answer:

16

Step-by-step explanation:

you would use the reciprocal when changing it from division to multiplication. So, it would be -8x-2 which equals 16.

Answer:

Bob makes 15 dollars an hour mowing lawns.

The graph would be a straight line with a slope of 15.

Step-by-step explanation:

The Constant of Proportionality is y=kx, where k is the constant.  A real world example would be:

Bob makes 15 dollars an hour mowing lawns.  (y=15x)

The graph would be a straight line with a slope of 15.

Answer: the first one I’m pretty sure! Due to the hypotenuse being the longest length (13) and you would use the Pythagorean theorem

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]10x - 15x + 5 = - 45 + 20[/tex]

Collect like terms

[tex] - 5x + 5 = - 45 + 20[/tex]

Calculate the sum

[tex] - 5x + 5 = - 25[/tex]

Move constant to RHS and change its sign

[tex] - 5x = - 25 - 5[/tex]

Calculate

[tex] - 5x = - 30[/tex]

Divide both sides of the equation by -5

[tex] \frac{ - 5x}{ - 5} = \frac{ - 30}{ - 5} [/tex]

Calculate

[tex]x = 6[/tex]

Hope this helps...

Best regards!!

Answer:

x = 6

Step-by-step explanation:

10x - 15x + 5 = -45 + 20

→ Simplify the 10x - 15x

-5x + 5 = -45 + 20

→ Simplify the -45 + 20

-5x + 5 = -25

→ Minus 5 both sides from to isolate -5x

-5x = -30

→ Divide by -5 from both sides from to isolate x

x = 6

Answer:

864 m²

Step-by-step explanation:

The area of a rectangle is given by the product of the length and the width

let A be the total area

A = 100*120

A = 12000 m²

Calculate the area of the small rectangles

Let A"' be the area of the road

A"' =A-A'

A"' = 12000-11136

A"' = 864 m²

Answer:

The probability that computers work more than 41 minutes is 0.15866 or 15.87%.

Step-by-step explanation:

We are given that a computer tallied the time to work for 200 days and found it reasonable to the normal curve. The mean is 35 minutes, and the standard deviation with six minutes.

Let X = the time taken by computer to work for 200 days.

So, X ~ Normal([tex]\mu=35, \sigma^{2} =6^{2}[/tex])

The z-score probability distribution for the normal distribution is given by;

                               Z  =  [tex]\frac{X-\mu}{\sigma }[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = population mean time = 35 minutes

           [tex]\sigma[/tex] = standard deviation = 6 minutes

Now, the probability that computers work more than 41 minutes is given by = P(X > 41 minutes)

      P(X > 41 minutes) = P( [tex]\frac{X-\mu}{\sigma }[/tex] > [tex]\frac{41-35}{6 }[/tex] ) = P(Z > 1) = 1 - P(Z [tex]\leq[/tex] 1)

                                                                = 1 - 0.84134 = 0.15866

The above probability is calculated by looking at the value of x = 1 in the z table which has an area of 0.84134.

Answer:

36

Step-by-step explanation:

There are 3 * 2 = 6 ways to go from A to C and then 2 * 3 = 6 ways to go from C to A so the answer is 6 * 6 = 36.

Answer:

x=1/5n

a=1/5(90)*100

The algebraic expression n/10, where n is the number of boards, represents the number of times he gets 2 free boxes of nails. So 2(n/10), or n/5, is the number of boxes, and 100(n/5), or 20n, is the number of nails. Substituting 90 in for n, Peter will get 1,800 nails.

Answer:  

3/10

Step-by-step explanation:

Answer:

[tex]6x^2 - 6x + 5[/tex]

Step-by-step explanation:

Given

List of Options

Required

Which of the options has a degree of 2

The general format of a polynomial is

[tex]ax^n + bx^{n-1} + ..... + cx^{n-n}[/tex]

Where n represents the degree

In this case;

n = 2

Substitute 2 for n in expression above;

[tex]ax^n + bx^{n-1} + ..... + cx^{n-n}[/tex]

[tex]ax^2 + bx^{2-1} + ..... + cx^{2-2}[/tex]

[tex]ax^2 + bx^{1} + ..... + cx^{0}[/tex]

[tex]ax^2 + bx + c *1[/tex]

[tex]ax^2 + bx + c[/tex]

Comparing this format to the list of given options; the option with the same format is: [tex]6x^2 - 6x + 5[/tex]

Where [tex]a = 6[/tex]; [tex]b = -6[/tex] and [tex]c = 5[/tex]

Hence, the polynomial with a degree of 2 is [tex]6x^2 - 6x + 5[/tex]

Answer:

6x^2-6x+5

Step-by-step explanation:

Answer:

72 square units.

Step-by-step explanation: You have to multiply both sides by the scale factor. 5 times 1.2 is 6, and 10 times 1.2 is 12. Then, multiply 6 by 12 to get your area of 66 square units.

Answer:

Square pyramid

Step-by-step explanation:

The flat square on the bottom is 1 face and there are 4 triangle faces.

The flat square on the bottom has 4 vertices and there is the pointy 1 at the top that holds the 4 triangles.

Hope dis helps,

Have a great day.

Answer:

Square Pyramid

Step-by-step explanation:

Only a square Pyramid has 5 faces and 5 vertices.  The right one!

A rectangular prism has 6 faces and 8 vertices.   Wrong

A cone has 1 face and 0 vertices.                          Wrong

A triangular prism has 5 faces and 6 vertices.      Wrong

Answer:

x = -4 , -2

Step-by-step explanation:

I am assuming "x2" is x^2. If the equation is x^2 + 6x + 8 = 0, then you first have to factor the equation x^2 + 6 + 8.

In order to do that, you would have to find the multiples of 1 (from x) and 8.

We can see that 1 * 1 is 1, so that is the only pair that would work for the problem. 4 * 2 is 8, but 8 * 1 is also 8. So, which set of numbers do we have to choose? It's actually really simple. You multiply the first set of numbers (1 and 1) with one of the sets from 8 ( 4 and 2 or 8 and 1). Then when you are finished multiplying them together, you add them together to see if they equal to the number in the middle (6x). So 1(x) * 4 is 4x, and 1(x) * 2 is 2x, and when we add the numbers together, we get 6x, which is the middle number, so therefore, 4 and 2 is the correct set of numbers, not 8 and 1, because if we multiply and add those together, we get 7x, not 6x.

After doing that, you have to put them like this:

(x + 4)(x + 2)

This is so when you multiply them together, you get the starting equation. But we have to solve for x. In order to do that, we have to plug that into the equation we started off with.

(x + 4)(x + 2)=0

Now we have to make x + 4 and x + 2 equal to 0, so x is -4 and -2. There are two correct answers. Hope this helps :)

Answer:

x is -2 and -4

Answer:

The correct option is;

[tex]4 \left (\dfrac{50 (50+1) (2\times 50+1)}{6} \right ) +3 \left (\dfrac{50(51) }{2} \right )[/tex]

Step-by-step explanation:

The given expression is presented as follows;

[tex]\sum\limits _{n = 1}^{50}n\times \left (4\cdot n + 3 \right )[/tex]

Which can be expanded into the following form;

[tex]\sum\limits _{n = 1}^{50} \left (4\cdot n^2 + 3 \cdot n\right ) = 4 \times \sum\limits _{n = 1}^{50} \left n^2 + 3 \times\sum\limits _{n = 1}^{50} n[/tex]

From which we have;

[tex]\sum\limits _{k = 1}^{n} \left k^2 = \dfrac{n \times (n+1) \times(2n+1)}{6}[/tex]

[tex]\sum\limits _{k = 1}^{n} \left k = \dfrac{n \times (n+1) }{2}[/tex]

Therefore, substituting the value of n = 50 we have;

[tex]\sum\limits _{n = 1}^{50} \left k^2 = \dfrac{50 \times (50+1) \times(2\cdot 50+1)}{6}[/tex]

[tex]\sum\limits _{k = 1}^{50} \left k = \dfrac{50 \times (50+1) }{2}[/tex]

Which gives;

[tex]4 \times \sum\limits _{n = 1}^{50} \left n^2 = 4 \times \dfrac{n \times (n+1) \times(2n+1)}{6} = 4 \times \dfrac{50 \times (50+1) \times(2 \times 50+1)}{6}[/tex]

[tex]3 \times\sum\limits _{n = 1}^{50} n = 3 \times \dfrac{n \times (n+1) }{2} = 3 \times \dfrac{50 \times (51) }{2}[/tex]

[tex]\sum\limits _{n = 1}^{50}n\times \left (4\cdot n + 3 \right ) = 4 \times \dfrac{50 \times (50+1) \times(2\times 50+1)}{6} +3 \times \dfrac{50 \times (51) }{2}[/tex]

Therefore, we have;

[tex]4 \left (\dfrac{50 (50+1) (2\times 50+1)}{6} \right ) +3 \left (\dfrac{50(51) }{2} \right )[/tex].

Answer:

21

Step-by-step explanation:

his mean is already 21

but if he has to score then 21

Answer:

-8q +18

Step-by-step explanation:

-3 ( 2q -6) -2q

Distribute

-6q+18-2q

Combine like terms

-8q +18

Answer:

1/8

Step-by-step explanation:

Well there is a .5 chance you get each side so in order for them all to land on the same side you do .5^3 which is .125 or 1/8

Answer:

1/36

Step-by-step explanation:

1/6x1/6=1/36

Answer:

Step-by-step explanation:

cost of one box = RS20

IT IS 20 TIMES MORE THAN COST OF ONE BOX

Answer:

The cost of 1 small box of mixed organic vegetables is $20. The cost of 20 small boxes of vegetables is $380 more than the cost of 1 small box.

Step-by-step explanation:

Since the cost of 9 small boxes is $180, we can divide both by 9 to get the price of one small box. 180/9=20. The cost of 20 small boxes is 20 boxes multiplied by 20 dollars, which is 400 dollars. $400-$20=$380.

Answer:

A function is a relation in which each input has only one output.

Step-by-step explanation: In the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2.

A function is a coordinate grid containing a U-shape with arrows on both ends that open to the right, and in which the bottom portion of the U passes through the origin which is the correct answer would be an option (A).

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

A function is a coordinate grid with a U-shaped pattern, arrows on both ends that open to the right, and the origin at the bottom of the U.

Because there is only one output of the relation, y, for any input x (1, 2, 3, or 0), is a function of x. Because the input y = 3 contains multiple outputs, including x = 1 and x = 2, x is not a function of y.

Therefore, the function is a coordinate grid containing a U-shape with arrows on both ends that open to the right, and in which the bottom portion of the U passes through the origin.

Hence, the correct answer would be option (A).

Learn more about the functions here:

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Answer:

86

Step-by-step explanation:

The sum of the angles in a quadrilateral is 360 degrees

since EF is parallel to HG

m < E + m< H =180

y + 10 + 2y -31 =180

-21+ 3y= 180

3y = 180 + 21

3y = 201

y=67

m <E = 67 + 10 =77

m < F = 2*67 -40= 134 -40=94

m < H = 2*67-31 = 134 -31 = 103

m < G = 360 - (m<E+ m < F + m < H)

= 360 - ( 77+94+103)

= 360- 274

=86

Answer:

1. 600 tiles

2. $120

3. 50.3cm2

Step-by-step explanation:

1. 520 x 140/ 13 x 7

600 tiles

2. Since length is 3 x width, length is 360.

20=5

360= 360/20= 18= 18 x 5= 90

20=5

120= 120/20= 6= 6 x 5= 30

90 + 30= 120= $120

3. 22/7 x 5 x 5= 78.5

   22/7 x 3 x 3= 28.2

   78.5-28.2= 50.3= 50.3cm2

Answer:

[tex]\huge\boxed{a_n=1\cdot(-2)^{n-1}}[/tex]

Step-by-step explanation:

[tex]a_n=a_1r^{n-1}[/tex]

We have the geometric sequence: 1, -2, 4, -8, ...

Find the common ratio:

[tex]r=\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=...=\dfrac{a_n}{a_{n-1}}[/tex]

[tex]a_1=1,\ a_2=-2[/tex]

substitute:

[tex]r=\dfrac{-2}{1}=-2[/tex]

Substitute

[tex]a_1=1;\ r=-1[/tex]

to

[tex]a_n=a_1r^{n-1}[/tex]

[tex]a_n=1\cdot(-2)^{n-1}[/tex]

Answer:

[tex]a_{n}=1 (-2)^{n-1}[/tex]

Step-by-step explanation:

Hi there!

Let's do it,

1)[tex]1,-2,4,-8[/tex]  

First let's find the q, the common ratio by dividing the second term by the anterior one.

-2:1 =-2

4:-2=-2

So the common ratio is -2. Plugging in on the General formula:

[tex]a_{n}=a_{1}q^{n-1}[/tex]

[tex]a_{n}=1 (-2)^{n-1}[/tex]

Answer:

19:36.83 or 37        20:4.5

Step-by-step explanation:

Answer:

For #19, it would probably be around 37

For #20, it would be 4.5.

Step-by-step explanation:

For #19, the mean is 36.83333.... so a reasonable prediction would be about 37 ˚C.

For #20, the list would be in this order:

3.2, 3.9, 4.5, 4.6, 5.5, 6.5, 8.7, 9.1

So, the 3rd value is 4.5.