What is the sum of the geometric series ?

The area of the trapezoidal courtyard is 114 square meters.

To find the area of a trapezoid, you can use the formula:

[tex]\[ \text{Area} = \frac{1}{2} \times (\text{sum of the bases}) \times \text{height} \][/tex]

Given:

- Base 1 (b1) = 8 meters

- Base 2 (b2) = 11 meters

- Height (h) = 12 meters

Plugging these values into the formula:

[tex]\[ \text{Area} = \frac{1}{2} \times (8 + 11) \times 12 \][/tex]

[tex]\[ \text{Area} = \frac{1}{2} \times 19 \times 12 \][/tex]

[tex]\[ \text{Area} = \frac{1}{2} \times 228 \][/tex]

[tex]\[ \text{Area} = 114 \][/tex]

So, the area of the courtyard is 114 square meters.

Answer:

3(3x-2)

Step-by-step explanation:

this is factoring 3 out of 9x-6

Answer:

P+C=x?

If there was no numerical data, than that is probably the answer. Is it multiple choice?

Answer:

48/4

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I'm assuming you already know how to do it and just need an answer.

The difference of the polynomial will be [tex]- 6x^4y-2x^3y^2 + 9x^2y^3 - 3xy^4 + y^5[/tex]

Given the polynomial function

[tex](-2x^3y^2 + 4x^2y^3 - 3xy^4) - (6x^4y - 5x^2y^3 - y^5)[/tex]

Expand the parenthesis to have:

[tex]-2x^3y^2 + 4x^2y^3 - 3xy^4 - 6x^4y + 5x^2y^3 + y^5)[/tex]

Collect the like terms:

[tex]-2x^3y^2 + 4x^2y^3 + 5x^2y^3- 3xy^4 - 6x^4y + y^5\\-2x^3y^2 + 9x^2y^3 - 3xy^4 - 6x^4y + y^5[/tex]

Rearrange:

[tex]- 6x^4y-2x^3y^2 + 9x^2y^3 - 3xy^4 + y^5[/tex]

Hence the difference of the polynomial will be [tex]- 6x^4y-2x^3y^2 + 9x^2y^3 - 3xy^4 + y^5[/tex]

Learn more here: https://brainly.com/question/10417192

Answer:

201 ft²

Step-by-step explanation:

Area of a circle is given by the formula

πr²

Thus area

= 3.142 × 8 × 8

=  201.088

= 201 ft²

Answer:

Option C

201 feet²

Step-by-step explanation:

Given in the question,

diameter of the circular graph = 16 feet

Formula to calculate the area of garden

where π is constant = 3.14

           r is the radius

To find the radius

16/2

8 feet

Plug in values to calculate area

(3.14) 8²

200.96 feet²

Area of the circular garden having 16 feet diameter is 201 (approximate)

Answer:

1/2, half, 50%

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

altogether = 17

hannah =10

answer= 17-10

                  7

Answer:

65

Step-by-step explanation:

First, order the numbers in order. Then find the "middle numbers" and omit them after you have divided the number set into two equals parts. Then find the median of those number sets and then subtract.

You should get 71-6 at the end which is 65.

Answer:

9

Step-by-step explanation:

Answer: OPTION A

Step-by-step explanation:

Apply the Quadratic formula, which is:

[tex]x=\frac{-b\±\sqrt{b^2-4ac}}{2a}[/tex]

In this case:

[tex]a=1\\b=-6\\c=58[/tex]

Then, you must susbtitute these values into the quadratic formula, as shown below:

[tex]x=\frac{-(-6)\±\sqrt{(-6)^2-4(1)(58)}}{2*1}[/tex]

[tex]x=\frac{6\±\sqrt{-196}}{2}[/tex]

Keep on mind that [tex]i=\sqrt{-1}[/tex], then you can rewrite it as following:

[tex]x=\frac{6\±14i}{2}\\\\\\x=\frac{2(3\±7i)}{2}\\\\x=3\±7i\\\\x_1=3+7i\\x_2=3-7i[/tex]

Answer:

A. {[tex]3+7i,3-7i[/tex]}

Step-by-step explanation:

The given equation  is  [tex]x^2-6x+58=0[/tex]

Use the quadratic formula with a=1,b=-6 and c=58

Recall the quadratic formula;

[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

We substitute the given values to get;

[tex]x=\frac{--6\pm \sqrt{(-6)^2-4(1)(58)} }{2(1)}[/tex]

[tex]x=\frac{6\pm \sqrt{36-232} }{2}[/tex]

[tex]x=\frac{6\pm \sqrt{-196} }{2}[/tex]

Recall that;

[tex]\sqrt{-1}=i[/tex]

[tex]x=\frac{6\pm 14i}{2}[/tex]

[tex]x=3\pm 7i[/tex]

[tex]x=3+7i[/tex] or [tex]x=3-7i[/tex]

Answer:

so we use BODMAS

B..bracket

O..oppration

D..division

M..multiplication

A..addition

S..subtraction

so we first simplify the bracket 5.9+3.2=9.10)l8

then ther is no O D M we jump them and add with 1.8

9.1+1.8=10.9

so the answer is 10.9

Answer:

I think the answer is C if I'm wrong sorry its been two years since i last learnt this

Step-by-step explanation:

Answer: =2.35

Step-by-step explanation:

Answer:

x = 16

y = 131

Step-by-step explanation:

4x + 2x - 6 = 90

6x = 96

x = 16

16 + 33 + y = 180

49 + y = 180

y = 131

Answer:

The volume of one shaped-cube block is [tex]\frac{1}{8}\ ft^{3}[/tex]

Step-by-step explanation:

we know that

The volume of a cube is equal to

[tex]V=b^{3}[/tex]

where

b is the length side of the cube

step 1

Find the length side of one shaped-cube block

Let

x------> the length side of one shaped-cube block

y-----> the length side of the storage container

[tex]x=y/5[/tex] -----> equation A

we have

[tex]y=2\frac{1}{2}\ ft=\frac{2*2+1}{2}=\frac{5}{2}\ ft[/tex] ---> convert to an improper fraction

substitute in the equation A

[tex]x=(5/2)/5=1/2\ ft[/tex]

step 2

Find the volume of one shaped-cube block

[tex]V=(1/2)^{3}[/tex]

[tex]V=\frac{1}{8}\ ft^{3}[/tex]

Answer:

Step-by-step explanation:

For this problem, point slope form would be the easiest.

Point Slope Form- y-y1 = m(x-x1)

In this case, y1 is 3, x1 is 5, and m would be the slope which is -4.

y-3=-4(x-5)

This is how to write an equation for the problem.

Answer:

[tex]\large{\boxed{y-3=-4(x-5)-\text{point-slope form}}\\\boxed{y=-4x+23}}[/tex]

Step-by-step explanation:

The equation of a line in point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

(x₁, y₁) - point

We have the slope m = -4 and the point (5, 3). Substitute:

[tex]y-3=-4(x-5)[/tex]       use distributive property

[tex]y-3=-4x+(-4)(-5)[/tex]

[tex]y-3=-4x+20[/tex]       add 3 to both sides

[tex]y=-4x+23[/tex]

Answer:

-125

Step-by-step explanation:

Answer:

P(x < 5) = 0.70

Step-by-step explanation:

Note:  The area under a probability "curve" must be = to 1.

Finding the sub-area representing x < 5 immediately yields the desired probability.

Draw a dashed, vertical line through x = 5.  The resulting area, on the left, is a trapezoid.  The area of a trapezoid is equal to:

 (average length)·(width, which here is:

  2 + 5

----------- · 0.02  =  (7/2)(0.2) =  0.70

      2

Thus, P(x < 5) = 0.70

Answer:

I know she he or they answered just wanted you to see :)

Step-by-step explanation:

5. you would use whole numbers because points are whole

7.x represents (2) the hours worked per week. this is because it say hourly rate and were estimating the weekly profit

You use whole numbers because the points are whole represents 2) the hours worked per week. this is because it say hourly rate and were estimating the weekly profit

Hope this helped.

Answer:

2650

Step-by-step explanation:

Given: 2648

Two significant figures means we need to round off to the nearest tens place.

In 2648, the tens place is 4

To round off the tens place, we need to look for the next digit that is right to tens place, which is 8

8 is greater than 5, so we need to add 1 with tens place (4 +1 = 5)

Therefore, it is 2650

Hope this will helpful.

Thank you.

2648 to two significant figures is 2700

The significant figures of a number are digits that carry meaning contributing to its measurement resolution. This includes all digits except all leading zeros

There are three rules determining how many significant figures are in a number:

For addition and subtraction use the following rules:

For multiplication and division use the following rule:

The given number is 2648

2648 can be written in two significant figures as 2700

2648 has four significant figures such as 2,6,4,8.

The second digit in the given number 2648 is '6'

Because the number 6 is greater than 5, therefore it can be rounded as '7'

Therefore, the number 2648 with four significant figures can be written as 2700 in two significant figures.

So 2700 has only two significant figures: 2 and 7.

Grade:  9

Subject:  mathematics

Chapter:  significant figures

Keywords:   significant figures, figures, numbers, significant, digits, measurement resolution

Answer:

rx-axis o T- 6,1 (x,y)

Step-by-step explanation:

We can see in the diagram that distances of  and  from the x-axis are equal with the distances of  and  from the x-axis respectively.

That means,  is first reflected about the x-axis to form

Now,  and  are located at 6 units left and 1 unit up from  and .

Thus, for getting the final image , we are first reflecting  about the x-axis and then translated it 6 units left and 1 unit upward.  

Answer:

I'd say it's B

Step-by-step explanation:

Cuz

Answer:

A. (2x-3)/2

Step-by-step explanation:

Performing the long division indicated by the perimeter expression, you find ...

perimeter = (2x -3) + (10x +6)/(x^2 +2x)

Comparing this to the formula for the perimeter ...

perimeter = 2W +2L

where L is said to be of the form (ax +b)/(x^2 +2x)

we can match terms in the perimeter expression to see that ...

2W = 2x -3

2L = (10x +6)/(x^2 +2x)

The problem doesn't ask for it, but we can see that (a, b) = (5, 3). We can also see that ...

W = (2x -3)/2 . . . . . . . matches choice A

Answer: The identity is verified. See the explanation.

Step-by-step explanation:

You must keep on mind the following identities:

[tex]csc\theta=\frac{cos\theta}{sin\theta}\\\\csc\theta=\frac{1}{sin\theta}\\\\sin^2\theta+cos^2\theta=1[/tex]

Therefore, by substitution, you can rewrite the identity as shown below:

[tex]1+cot^2\theta=csc^2\theta\\\\1+\frac{cos^2\theta}{sin^2\theta}=csc^2\theta[/tex]

Simpliying, you obtain:

[tex]\frac{sin^2\theta+cos^2\theta}{sin^2\theta}=csc^2\theta\\\\\frac{1}{sin^2\theta}=csc^2\theta\\\\csc^2\theta=csc^2\theta[/tex]

The identity is verified.

Answer:

24

Step-by-step explanation:

The area of a parallelogram is A = b*h. The area of a triangle is A = 1/2 b*h. This means if the area of the parallelogram is 48 square meters then the area of the triangle is 24 square meters.

Answer:

24 m^2

Step-by-step explanation:

3/4(2(2+4k)+2(3+3/2k))

Use the distributive property inside the parenthesis first:

3/4(4+8k + 6 + 3k)

Simplify:

3/4(11k + 10)

Distributive property again:

3/4(11k) + 3/4(10)

33/4k + 15/2

Rearrange to get A. 15/2 + 33/4k

Answer:   D.  2550 cm³

Step-by-step explanation:

Volume of one box = Length x width x height

Volume of 6 boxes = 6(L x w x h)

                                = 6(14 x 6 x 5)

                                = 6(14 x 30)

                                = 6(420)

                                = 2520

Answer:

B. $60,000

Step-by-step explanation:

multiply 2 million by 3% to get your answer

hope this helps!!

Answer:

2,000,000 times 3% = 60,000 so b 60,000

Step-by-step explanation:

the ordered pair is a solution to the two equations.

Answer:

hello : (-3,-2) is solution

Step-by-step explanation:

put x = - 3 and y = -2 in this system :

3(-3) - 2 (- 2 ) = - 9 + 4 = - 5 .... right

4( - 3 ) +3(-2) = - 12 - 6 = -18 .....right

(-3,-2) is solution of the linear system:   3x - 2y = -5  

                                                                4x + 3y = -18