How do you solve this?

Answer: The numbers are decreasing by 2. So that means that the eighteenth number would be -29.

Explanation:

{5, 3, 1, -1, -3, -5, -7, -9, -11, -13, -15, -17, -19, -21, -23, -25, -27, -29...}

Answer:

x = 129° ( linear pair then vertically opp angles)

12. If the first two terms of the sequence are -3 and 9, the next few terms are

-3 + 9 = 6

9 + 6 = 15

6 + 15 = 21

15 + 21 = 36

and so on. Continuing in this way, you'd find the 16th term to be 4359.

13. Let x be the cost of 1 floop.

31 floops cost less than $40, so 31x < 40 or x < 40/31.

32 floops cost more than $41, so 32x > 41 or x > 41/32.

Equivalently,

41/32 < x < 40/31

and

41/32 ≈ 1.28125

40/31 ≈ 1.29032

which means x = $1.29.

Answer:

first you find the common denominator, it is 6.

so the numbers would stay the same. now that our denominators are the same we shall add.

1+2 = 3

3/6.

You can simplify by thinking what multiplication table is 3 and 6 in? its 3 so simplify

3/6 divide both by 3

you get 1/2 so your final answer shall be 1/2

Answer:

The multiplicative inverse of y is - 1/y

Step-by-step explanation:

hope this helps :)

Answer:

0

Step-by-step explanation:

The slope is 0 because the y value stays the same

Yes because if she's going one in one out it is a chance thats what shes doing

The probability that the teacher puts them in a line alternating boys and girls is 1/352714

Probability is the likelihood that an event will occur and is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

Given: There are 11 boys and 10 girls in a classroom.

A teacher chooses a student at random and puts at the head of a line.

Number of students=  [tex]^{21}P_{21}[/tex]/ 11 ! * 10!

                         = 21 !/11!*10!

                         = 21*20*19*18*17*16*15*14*13*12*11!/11!* 10*9*8*7*6*5*4*3*2*1

                         = 352714

P(alternate boys and girls)= n(A)/n(S)

                                           = 1/ 352714

Learn more about probability here:

brainly.com/question/11234923

#SPJ2

Answer:

If the mother (red line) cycles at 12 mph, it means that in half an hour (x=0.5) she cycled for 6 miles.

The daughter (blue line) walks at 1/3 of her speed, or 4 mph. It means that in half an hour she traveled 2 miles, and 4 miles after an hour.

Assuming that they start at the same point at distance zero, it's just joining the dots.

Answer:

2 hours

Step-by-step explanation:

3*2=6

bc 3mph times 2 its 6 miles

Answer: 2 hours

Step-by-step explanation:

Arrange the given data so the units cross out:
6 miles * [tex]\frac{1 hour}{3 miles}[/tex]

Answer:

B= (3, 0)

Step-by-step explanation: I had this question before so I know it

Answer:

about 30

Step-by-step explanation:

Convert 74% to  a decimal by dividing by 100 or by moving the decimal two places left.

74.% = 0.74

Multiply

0.74 x 40 = 29.6

Round to the nearest whole number

29.6 = 30

Answer:

[tex]({2x}^{2} )^{3} \times ( - {x}^{4} )[/tex]

[tex] {2x}^{6} \times ( - {x}^{4} )[/tex]

[tex] - {2x}^{6 + 4} [/tex]

[tex] - {2x}^{10} [/tex]

hope it helps you :)

Answer: The 2nd choice.

Step-by-step explanation:

The y-intercept is the y coordinate when x = 0. Based on the table, we can see that the y coordinate is 12 when x is 0.

The slope is equal to (y2-y1)/(x2-x1) for any given points (x1,y1) and (x2,y2).

We can choose the point (0,12) to represent (x1,y1) and the point (6,0) to represent (x2,y2).

Therefore, the slope is (0-12)/(6-0) = -12/6 = -2

It is centered at (h,k) --> (0,0) and has a radius 9

The equation of the circle is

           [tex](x-h)^{2} +(y-k)^{2} =r^{2} \\(x-0)^{2} +(y-0)^{2} =r^{2}\\x^{2} +y^{2} = 9^{2}[/tex]

Hope that helps!

Answer:

THE AXIS OF SYMMETRY IS ALWAYS THE X VALUE OF THE VERTEX

Step-by-step explanation:

The vertex is where the graph performs the u shape bend.

The vertex is always -b/2a. so in problem one, it would be 6/2(3) which is 1. That is the x value so the axis of symmetry would be x=1.

Answer:

yes they are

Step-by-step explanation:

If you distribute the minus then the 4 becomes positive.

Have a great day!

If it helped mark me brainliest!

Answer:

yes

Step-by-step explanation:

x - (-4)

Apply rule - (-a) = a:

⇒ x + 4

The number of unit tiles need to be added to complete the square and form a perfect square trinomial expression is 25.

Algebra tiles used to represent the algebraic expression in the table form. The shape of algebra tile is square and rectangle, in which the variables represented.

A trinomial which is expressed as the square of the binomial equation is a perfect square trinomial.

Let the missing number for the given expression is g. Therefore,

[tex]x^2 +10x+g[/tex]

Now, to make the above expression the perfect square trinomial expression, this has to be make such that it can be written in the squared form.

To find the value of g, half the middle term and square it. As the value of the middle term is 10. Thus, the value of the g is,

[tex]g=\left(\dfrac{10}{2}\right)^2\\g=5^2\\g=25[/tex]

Put this value in the above expression as,

[tex]x^2 +10x+25\\(x+5)^2[/tex]

Hence, the number of unit tiles need to be added to complete the square and form a perfect square trinomial expression is 25.

Learn more about the algebra tile here;

https://brainly.com/question/4407619

Answer:

10π

Step-by-step explanation:

The circumference of a circle is the distance of the outside of the circle. The formula for circumference is C=2πr.

In the question, you are given the diameter. Diameter is the radius times 2. So, to find the radius you can divide the diameter by 2. Since, 10cm/2 is 5 cm, 5cm is the radius.

Then, plug this information into the formula to solve for C.

This means that, in terms of pi, the circumference is 10π cm.

Answer:

- 9 and 28

Step-by-step explanation:

substitute the given values for x, y, z into the expressions

1

- (3 - 2) - 4(3 + 1) + 1 + (2(3) + 2)

= - 1 - 4(4) + 1 + 6 + 2

= - 1 - 16 + 9

= - 17 + 9

= - 8

2

4(2)  - 6(- 3 + 1²) + 4(2)

= 8 - 6(- 3 + 1) + 8

= 8 - 6(- 2) + 8

= 8 + 12 + 8

= 28

Answer:

Step-by-step explanation:

You want to evaluate these expressions when (x, y, z) = (3, 2, 1).

We find it easier to evaluate the expression when it is simplified to a form that minimizes that amount arithmetic we need to do. So, our evaluation does that first. Then the corresponding values are put where the variables are in the expression, and the arithmetic is carried out.

Simplifying, we find the sum to be ...

  -x +y -4x -4z +z +2x +y = x(-1-4+2) +y(1+1) +z(-4+1)

  = -3x +2y -3z = 2y -3(x +z)

  = 2(2) -3(3 +1) = 4 -12

  = -8

Simplifying, we find the sum to be ...

  4y +6x -6z² +4y

  = 6x +8y -6z²

  = 6(x -z²) +8y

  = 6(3 -1²) +8(2) = 12 +16

  = 28

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Step-by-step explanation:

parellogram

two opposite sides are equal

opposite angles add up to 180°

B is correct

1/2x-2>22

Remember 1/2=0.5

We write the equation as

0.5x-2 >22

Collect like terms

0.5x > 22+2

0.5x>24

Divide through by 0.5

X>24/0.5

X>48

Option b

Answer:

B x > 48

Step-by-step explanation:

1/2x -2 >22

Mulitply both sides of the inequality by 2

x - 4 > 44

Move the constant to the right

x > 44+4

Add the numbers

x>48

Work Shown:

1 foot = 12 inches

1 yard = 3 feet = 3*12 = 36 inches

(1 yard)^3 = (36 inches)^3

1 cubic yard = 46656 cubic inches

2.5 cubic yards = 2.5*46656 = 116,640 cubic inches.

Answer:

x = 50°

y = 50°

z = 80°

Step-by-step explanation:

working out x:

angles on a straight line add up to 180°

x + 130° = 180°

subtract 130 on both sides

x = 180° - 130°

x = 50°

working out y:

two vertical lines means that both sides are equal, so both angles are also equal (it's an isosceles triangle). This means that y is the same angle as x = 50°

y = 50°

working out z:

the sum of a triangle add up to 180°

add up the angles of x and y and equate to 180°

50 + 50 + z = 180

100 + z = 180

subtract 100 on both sides

z = 180 - 100

z = 80°

Trapezium

parallel sides = 18 cm, 12cm

Height = 8cm

Area of trapezium =

[tex] \frac{1}{2} \times (a + b) \times h[/tex]

[tex] \frac{1}{2} \times (a + b) \times h[/tex]

[tex] \frac{1}{2} \times (18 + 12) \times 8[/tex]

[tex] \frac{1}{2} \times (30) \times 8[/tex]

[tex] \frac{1}{1} \times (15) \times8[/tex]

[tex]120 \: cm ^{2} [/tex]

Therefore, Area of trapezium is [tex]120 \: cm {}^{2} [/tex]

Answer:

Area of Trapezium = 120 cm³

Step-by-step explanation:

Trapezium = 1/2 * (a+b) * h [Formulae]

A & b = Sum of parallel sides

Given that,

Solved:

Therefore,the area of trapezium is 120 sq. cm or 120 cm².

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

8

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

Step-by-step explanation:

First Let's know how to find the mean;

The mean is the same as the average value in a data set.

Solve;

3+4+5+7+10+12+15=56

Count; 3,4,5,7,10,12,15​=7

Now divide..

56/7 = 8

Hence, Mean of the given date is 8.

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

~[RevyBreeze]~

Answer:

  C.  (-4,0), (4,0)

Step-by-step explanation:

A function has an x-intercept at the point where the function value is zero. The given chart lists two values of x where f(x)=0: x=-4 and x=4. The x-intercepts are ...

  (-4, 0), (4, 0)

Answer:

4/5

Step-by-step explanation:

the area of rectangle is length × breadth

length = 2 2/5 breadth = 1/3

2 2/5 × 1/3 = 12/15

reducing to the lowest term =4/5

Step-by-step explanation:

2 2/5 × 1/3 = 12/15

Reduced is 4/5

Hope this helps

Brainliest