Which of the following best describes the slope of the line below? A. Zero B. Undefined C. Positive D. Negative

Answer:

Reflexive property

Step-by-step explanation:

Answer:

2/7 , 5/7 , 3 , 27/7 , 4 , 29/7 , 31/7

Step-by-step explanation:

2/7= 0.3

5/7= 0.7

3

27/7= 3.9

4

29/7= 4.1

31/7= 4.4

please mark me brainliest

Step-by-step explanation:

you first change the mixed fractions to improper fractions

it now becomes 4 2/7 = 30/7 and 3 5/7 = 26/7

then you find the least common multiple of the denominators of the fractions

which is 7. because they all have a common denominator

Then, you divide 7 with the denominators, the answer you get multiply with the numerators

i.e 30/7 ÷ 7 = 1, 1 × 30 = 30

26/7 ÷7=1,1×26=26

31/7÷7=1, 1×31=31

29/7÷7=1,1×29=29

27/7÷7=1,1×27=27

from the answers above you arrange them in ascending order (least to highest)

i.e 26/7 27/7, 29/7,30/7,31/7

Answer:

uppercase B = StartFraction 3 uppercase V Over h

Step-by-step explanation:

The formula for the volume (V) of a pyramid is:

V = 1/3*B*h

where B is the are of the base and h is the height. We can isolate B, as follows:

multiply by 3 at both sides

V*3 = 1/3*B*h*3

divide by h at both sides

V*3/h = B*h/h

V*3/h = B

Answer:

uppercase B = StartFraction 3 uppercase V Over h

Step-by-step explanation:

there fore the answer is A

Answer: 2 <= X <= 5

Step-by-step explanation:

Answer: 2 <= X <= 5

Step-by-step explanation:

Given that a factory can work its employees no more than 5 days a week, that is, less than or equal to 5 days.

And no less than 2 days per week. That is, greater than or equal to 2 days.

Let X be the number of days employee can work. Then, according to the first statement, X <= 5 and according to the second statement, X >= 2

An inequality to represent the range of days an employee can work will be

2 <= X <= 5

Therefore, an employee can work for 2 days, 3 days, 4 days and 5 days

Answer:

The half life of Pa-234 is approximately 0.0701656609 days

Step-by-step explanation:

The formula for half life is calculated as:

t½ = t.In(2)/In(No/Nt)

Where:

t½ = Half life of the substance in days

t = Time elapsed in days

No = Beginning amount

Nt = End Amount

In the question,

t = Time elapsed = 10 days

No = Beginning amount = 5.14 × 10²²

Nt = End Amount = 6.43 × 10²¹

t½ = t.In(2)/In(No/Nt)

t½ = 10.In(2)/In(5.14 × 10²²/6.43 × 10²¹)

t½ = 6.9314718056/98.78723754

t½ = 0.0701656609 days

The half life of Pa-234 is approximately 0.0701656609 days

Answer:

0.73

Step-by-step explanation:

The decimal 0.73 is already in decimal form.

Answer:

73/100

Step-by-step explanation:

I put it down as 100

So 73/100 is the answer

Answer:

A = 25 units²

Step-by-step explanation:

First, figure out where the lines intersect.

Let's start with x = 0 and y = x:

because x = 0, substitute x in y = x    

    y = 0 so the intersection point of these two lines is (0,0)

With, x + y = 10 (or y = 10 - x) and x = 0:

  substitute x again y = 10 - 0, so y = 10 and the intersection point is (0,10)

The last point has to be found by setting y = x and x + y = 10 (y = 10 - x) equal to each other: x = 10 - x

solve for x: x = 10 - x

                  2x = 10

                    x = 5

find y: y = 10 - 5

          y = 5 and the intersection point is (5,5)

Now that you have the vertices of the triangle, you can find the area. (0,0) and (0,10) are on the y-axis and has a length of 10 units; this is your base. To find the height, you need to picture the triangle on the coordinate plane. Point (5,5) lines up with the midpoint (0,5) of the side with (0,0) and (0,10). From this, you can see that the height is  5 units.

Use the triangle area formula: A = 0.5bh

A = 0.5(10)(5)

  = 0.5 × 50

A = 25 units²

Answer:

A = 25 units²

Step-by-step explanation:

Answer: 793

Step-by-step explanation:

1 + 8 = 9

9 + 8 = 17

17 + 8 = 25

If 25 is the fourth term in the sequence, and the formula is + 8 for every term, then you need to find 96 more terms with + 8.

96 * 8 = 768

768 + 25 = 793

Answer:

The 100th term is 793.

Step-by-step explanation:

Notice that this arithmetic sequence has first term [tex]a_1=1[/tex]

and common difference [tex]d=8[/tex] (since each consecutive term is built by adding "8" to the previous one)

Recall the general formula for the nth term of a sequence:

[tex]a_n=a_1\,+(n-1)\,d[/tex]

therefore, for our articular case, the term 100th can be obtained with:

[tex]a_n=a_1\,+(n-1)\,d\\a_{100}=1\,+(100-1)\,8\\a_{100}=1\,+(99)\,8\\a_{100}=1\,+792\\a_{100}=793[/tex]

Answer:

3 6/8

Step-by-step explanation:

5 = 5

10/8 = 1 2/8

5 - 1 = 4

4 - 2/8 = 3 6/8

Answer:

3 [tex]\frac{6}{8}[/tex]

Step-by-step explanation:

Let's turn [tex]\frac{10}{8}[/tex] into a mixed number. Divide the numerator by the denominator.

10 ÷ 8 = 1 with a remainder of 2

Write down the whole number followed by the remainder over the denominator.

[tex]\frac{10}{8}[/tex] = 1 [tex]\frac{2}{8}[/tex]

Now subtract.

5 - 1 = 4

4 - [tex]\frac{2}{8}[/tex] = 3 [tex]\frac{6}{8}[/tex]

Answer: 600 milliliters per child

Step-by-step explanation:

Hi, to answer this question we simply have to divide the amount of soda (6 liters) by the number of people (6).

Mathematically speaking:

6 /10 = 0.6 liters per child

Since 1 liter = 1000 milliliters

0.6 x 1000 = 600 milliliters per child

Feel free to ask for more if needed or if you did not understand something.  

Answer:

A correlation coefficient of 0.02 indicates that the data are not correlated.

Step-by-step explanation:

0.02 is very close to zero and tells you that there is no linear relationship between the two variables.

Answer:

A. No correlation

Step-by-step explanation:

I took the test gl on finishing the rest!

Answer:

b

Step-by-step explanation:

Let's find the area of the adjacent side.

Applying Pythagoras' Theorem,

(adjacent side)²= 18² -9²

adjacent side[tex] = \sqrt{243} [/tex]

adjacent side= 15.588 m (5 s.f.)

Area of triangle= ½ ×base ×height

Area of traingle

[tex] = \frac{1}{2} \times15.588 \times 9 \\ = 70.1m \: (nearest \: tenth)[/tex]

The nearest answer is B.

*If you rounded of to the nearest tenth for the adjacent side first then use the formula for area of traingle, the result would be exactly 70.2 m.

Answer:

The answer above me is correct

Step-by-step explanation:

Answer:

A. and C. are true i think :/

Step-by-step explanation:

im not 100% sure though but again, good lucks!

Answer:

[tex]\huge\boxed{x\neq4\to x\in\mathbb{R}\backslash\{4\}}[/tex]

Step-by-step explanation:

[tex]\dfrac{x-3}{2x-8}[/tex]

We know: the denominator must be different than 0.

Therefore

[tex]2x-8\neq0[/tex]        add 8 to both sides

[tex]2x-8+8\neq0+8[/tex]

[tex]2x\neq8[/tex]             divide both sides by 2

[tex]\dfrac{2x}{2}=\dfrac{8}{2}\\\\x\neq4[/tex]

The domain of the rational expression is x≠4.

It is required to find the domain of the rational expression.

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given:

The given expression

x-(3/2x) - 8

So, the domain is all real number except zero.

2x-8 ≠0

Add 8 to both sides we get,

2x-8 +8≠0+8

2x≠8

Divide both sides by 2 we get,

x≠4

But more likely you meant  (x-3)/(2x-8),  then the domain is all real numbers except 4.

The domain does not include any number that makes the denominator = 0.

Therefore, the domain of the rational expression is x≠4.

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Answer:

[tex] \boxed{\huge {\sf y = 4a}} [/tex]

Step-by-step explanation:

[tex] \sf Solve \: for \: y: \\ \sf \implies 4y - 3a = 13a \\ \\ \sf Add \: 3a \: to \: both \: sides: \\ \sf \implies 4y + ( \boxed{ \sf 3a} - 3a) = \boxed{ \sf 3a} + 13a \\ \\ \sf 3a - 3a = 0 : \\ \sf \implies 4y = 3a + 13a \\ \\ \sf 3a + 13a = 16a : \\ \sf \implies 4y = 16a \\ \\ \sf Divide \: both \: sides \: by \: 4: \\ \sf \implies \frac{4y}{ \boxed{ \sf 4}} = \frac{16a}{ \boxed{ \sf 4}} \\ \\ \sf \frac{4y}{4} = \frac{ \cancel{ \sf 4}}{\cancel{ \sf 4}} \times y = y : \\ \sf \implies y = \frac{16a}{4} \\ \\ \sf \frac{16a}{4} = \frac{\cancel{ \sf 4} \times 4a}{\cancel{ \sf 4}} = 4a : \\ \sf \implies y = 4a[/tex]

Answer:

0

Step-by-step explanation:

Given the points J (1,-10) and K (7, 2)

From the section formula

[tex](x,y)=\left(\dfrac{mx_2+nx_1}{m+n}, \dfrac{my_2+ny_1}{m+n}\right)[/tex]

The y-coordinates of the point that divides the directed line segment from J to K into a ratio of 5:1 is obtained using the formula:

[tex]y=\dfrac{my_2+ny_1}{m+n}\\m=5, n=1, y_1=-10, y_2=2\\Therefore:\\y=\dfrac{5*2+1*-10}{5+1}\\=\dfrac{10-10}{6}\\=0[/tex]

The y-coordinates of the point that divides the directed line segment from J to K into a ratio of 5:1 is 0.

The y coordinate of the point that divides J to K in the ratio 5 : 1 is 0.

If a point O(x, y) divides the line segment AB with end points A(x₁, y₁) and B(x₂, y₂) in the ratio n:m, the coordinate of O is:

[tex]x=\frac{n}{n+m} (x_2-x_1)+x_1\\\\y=\frac{n}{n+m} (y_2-y_1)+y_1[/tex]

Let O(x, y) represent the point dividing J to K in the ratio 5 : 1. K(7,2) and J(1, -10)Hence:

[tex]y=\frac{5}{5+1}(2-(-10)) + (-10)=0[/tex]

The y coordinate of the point that divides J to K in the ratio 5 : 1 is 0.

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Answer:

The radius of the circle 'r' = 5

Equation of the circle

            (x - 2 )²  + (y+1)²  = (5)²

center of the circle ( h,k) = (2 , -1) , 'r' = 5

Step-by-step explanation:

Step(i):-

Given circle is  x² - 4 x + y² + 2 y - 20 =0

                   x² - 2(2) x + (2)²-(2)²+ y² + 2 y(1) +(1)²-(1)² - 20 = 0

We know that

          (a+b)² = a²+2 a b+b²

          (a-b)² = a² -2 a b+b²

               ⇒(x - 2 )² - 4 + (y+1)² -21 =0  

              ⇒ (x - 2 )²  + (y+1)²  = 25

Step(ii):-

Equation of the circle form

                     ( x- h)² + (y -k)² = r²

Given circle   (x - 2 )²  + (y+1)²  = (5)²

          center of the circle ( h,k) = (2 , -1)

          radius of the circle 'r' = 5

Answer:

The midpoint is (2.5, 3.5)

Step-by-step explanation:

The midpoint is the average of the coordinates

x = (x1+x2)/2  and y =(y1+y2)/2

x = (2+3)/2 = 5/2 = 2.5

y = (3+4)/2 = 7/2 = 3.5

The midpoint is (2.5, 3.5)

Answer:

(2.5, 3.5)

Step-by-step explanation:

The midpoint is found by taking the average of the x-coordinates and the average of the y-coordinates.

Here, the average of the x-coordinates is (2 + 3)/2 = 5/2 = 2.5.

The average of the x-coordinates is (3 + 4)/2 = 7/2 = 3.5.

The answer is thus (2.5, 3.5).

~ an aesthetics lover

Answer:

.82

41/50

Step-by-step explanation:

82%

Move the decimal 2 places to the left to change to decimal form

.82

Percent means out of 100

82/100

Divide by 2

41/50

Answer:

a) .82, b) 41/50

Step-by-step explanation:

a) The decimal form would be 0.82 - when writing a percentage as a decimal, we use 0.0-1.0 to represent 0% through 100%. Since it is 82%, it would translate to .82!

b) Since it is 82% out of 100%, we would write the fraction as 82/100. Additionally, you can divide it by 2 to get 41/50, thus reaching its simplest form!

Answer:

t=   2

Step-by-step explanation:

5t - 30t + 50 =0

-50                  -50

5t - 30t  =-50

-25t   = -50

÷-25    ÷-25

t=   2

Answer:

t = 2

Step-by-step explanation:

5t - 30t + 50 = 0

-25t = -50

t =  -50/-25

t = 2

Answer:

x = √21.

Step-by-step explanation:

Triangles ADB and BCD are similar.

So their corresponding sides are in the same ratio:

x / 7 = 3 / x

x^2 = 21

x = √21.

Answer:

H=40

Step-by-step explanation:

3H+20+H=180

4H +20 = 180

4H = 180 - 20

4H = 160

H = 160/4

H = 40

I solved it Step-by-step hoping this helps u to understand it.. Good Luck

Answer:

A) (0,-8), B (4,0)

B) 2

C) y = 2x -8

Step-by-step explanation:

Given

[tex]y = x^2 -2x -8[/tex]

calculate the coordinate of point A and B

for point A

Point A lies on y axis, so for point A, coordinate of X axis is 0.

we will put x = 0 in the given equation

[tex]y = x^2 -2x -8[/tex] to find y.

[tex]y = 0^2 -2*0 -8 = -8[/tex]

Thus, y coordinate of point A is -8.

Thus, coordinate of point A (0, -8)

Point B lies on x axis, so for point B, coordinate of Y  is 0.

we will put y = 0 in the given equation

[tex]y = x^2 -2x -8[/tex] to find x.

[tex]0= x^2 -2x -8\\=>x^2 -4x +2x -8 = 0\\=> x(x-4) +2(x-4) = 0\\=> (x+2)(x-4) = 0\\[/tex]

Thus x+2 = 0 or x-4 = 0

x = -2 or x = 4

but x cannot be -2 as x is on positive side of x axis, hence x can take only positive value

Thus, X coordinate of point B is 4

Thus, coordinate of point B(4, 0).

_________________________________________________

The gradient of  of two points (x1, y1) and (x2,y2) is given by

gradient = (y2-y1)/(x2-x1)

Since we have point A and B as (0, -8) and (4,0)

Thus gradient = 0 -(-8)/4-0) = 8/4 = 2 (answer B)

______________________________________

Equation of straight line in point slope form is given by

y = mx +c

where m is the gradient of line and

c is y intercept .

Y intercept is point on y axis where the straight line meets y axis.

As calculated above

We have gradient = 2  

c = -8 (co-ordinates of point A is only the y intercept)

Thus, equation of line AB

is y = 2x -8  Answer C.

Answer:

x = 11º

Step-by-step explanation:

1. Notice Parallel Lines

2. Understand Angle Relationships When Parallel Lines Are Present (e.g., alternate interior/exterior)

3. ∠CAB ≅ ∠DCA ∴ m∠CAB = 33º

4. Use exterior angle theorem: the sum of non-adjacent angles of the same triangle which the exterior angle is drawn is equal to the measure of that angle.

5. Therefore write and solve the equation 2x + 33º (sum of non-adjacent interior angles) = 5x (exterior angle).

Answer:

11 degrees

Step-by-step explanation:

Ur welcome

Answer:

D. 1

Step-by-step explanation:

Step 1: Find g of f(x)

g(f(x)) = (x²) - 3

Step 2: Plug in -2 as x

g(f(x))(-2) = (-2)² - 3

g(f(x))(-2) = 4 - 3

g(f(x))(-2) = 1

Answer:

1.08*10^11

Step-by-step explanation:

how many more it means you need to subtract :

in year 1965 : 7.2*10^10

in 1995 :1.8*10^11

(1.8*10^11)-(7.2*10^10)

18*10^10-(7.2*10^10)=

10.8*10^10 or 1.08*10^11

Answer:

ax² + bx + c

Step-by-step explanation:

The form of a quadratic equation that is easy to use when finding the maximum or minimum value of the function is ax² + bx + c.

Suppose a quadratic function:

f(x) = 2x² - 8x + 9

Use ( -b/2a ,  f(-b/2a) ).

-b/2a

a = 2

b = -8

-(-8)/2(2)

8/4

= 2

f(2) = 2(2)² - 8(2) + 9

f(2) = 2(4) - 8(2) + 9

f(2) = 8 - 16 + 9

f(2) = 1

The minimum value of this quadratic function is (2, 1).

It represents a minimum value because a > 0.

Answer:

Vertex form

Step-by-step explanation:

There are several forms of the quadratic equation

Standard form: y = ax^2 + bx + c which is useful for the quadratic equation and the axis of symmetry

Factored form: y = (ax - c)(bx - d)   which will give us the zeros

and

Vertex form: y = a(x - h)2 + k where ( h,k) is the vertex

The maximum and minimum would be the value of k

It would be maximum when a >0 and minimum when a<0

Answer:

16 tricycles

Step-by-step explanation:

First, let's make a chart:

Bicycles- x bicycles and 2x wheels

tricycles- y tricycles and 3x wheels

Four wheeled vehicles- 2 bikes (given), 8 wheels

Since the total amout of bikes is 40, that means that x+y+8=40

You can simplify that to x+y=38.

now, we're going to form another equations dealing with the number of wheels.

Since we know that four wheeled vehicles already have only 8 wheels, then that means 2x+3y=92

Solve the system of equations:

2x+3y=92

x+y=38

y will be 16

An equation is formed of two equal expressions. There are a total of 16 tricycles.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the total number of bicycles be represented by x, while the total number of tricycles is represented by y.

The total number of vehicles is 40. Therefore, we can write the equation as,

x + y + 2= 40

x + y = 38

Solving the equation for x,

x = 38-y

Also, given that the total number of wheels is 100, also, the number of four-wheelers is 2. Therefore, the total number of wheels can be written as,

2x + 3y + 2(4) = 100

2x+ 3y = 92

Substitute the value of x from the above equation,

2(38 - y) + 3y = 92

76 - 2y + 3y = 92

y = 16

Hence, there are a total of 16 tricycles.

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Answer:

a. 0 is the correct answer.

Step-by-step explanation:

We are the given the function:

[tex]y = sin q[/tex]

If we refer to the attached graph, it represents [tex]\theta[/tex] on the x axis and y value on y axis.

i.e. the graph represents:

[tex]y =sin\theta[/tex]

For different values of [tex]\theta[/tex] (on x axis), different values of [tex]sin\theta[/tex] are shown on the y axis.

Various points that we can observe from the graph:

[tex]\theta = 0, y =0\\\theta=\dfrac{\pi}{2}, y =1\\\theta=\pi, y =0[/tex]

Here we have to find the value of:

[tex]y=sinq[/tex] where q = [tex]\pi[/tex] radians

i.e. we have to find the value of [tex]y=sin\pi[/tex]

Please refer to the graph attached in the answer area.

Point is marked as P which shows the point ([tex]\pi,0[/tex]).

So, [tex]y=sinq[/tex] where q = [tex]\pi[/tex] radians is 0.

So, correct answer is option a. 0

Answer:

Table 2.

Step-by-step explanation:

Input x as 0, the output y should be 4.

y = -2(0) + 4

y = 0 + 4

y = 4

Input x as 1, the output y should be 2.

y = -2(1) + 4

y = -2 + 4

y = 2

Input x as 2, the output y should be 0.

y = -2(2) + 4

y = -4 + 4

y = 0