Determine the sum of the arithmetic series: 5+18 +31 +44 + ... 161.

Well i don't know if its correct but i hope it will help  8.78

Answer:

B,C,D

Step-by-step explanation:

Just answered the question

Answer:

2x=3y or x= -3y/2 and y =2/-3y

Step-by-step explanation:

4x-2x=-3y

2x=-3y

Answer:

Two options:

2x + 3y = 0

or

2x =-3y

Step-by-step explanation:

4x + 3y = 2x

4x - 2x + 3y = 0

2x + 3y = 0

2x = -3y

Answer:

a c e

Step-by-step explanation:

just did it

Answer:

A. Point F → point F'

C. Point D of the pre-image corresponds to point D' of the image.

E. Parallelogram DEFG maps to parallelogram D'E'F'G'.

Step-by-step explanation: This is the correct answer on Edge 2021, just did the assignment. Hope this helps ^-^.

This question is incomplete, the complete question is;

Find an equation of the tangent plane to the surface z=1y²−1x² at the point (-4, 3, -7).

z = .....................

Note: Your answer should be an expression of x and y; e.g. 3x - 4y + 6.

Answer:

Z = 8x + 6y + 7

Step-by-step explanation:

Given that z = 1y² - 1x²

with points (-4, 3, -7)

so

Z = y² - x²

Equation of tangent plane to the surface Z = f(x,y) at the points ( x₀,y₀,z₀) is

Z - Z₀ = fx (x₀,y₀)(x-x₀) + fy (x₀y₀)(y-y₀)

therefore

Z = f(x,y) = y² - x²

fx = -2x, fx (-4, 3, -7) = -2(-4) = 8

fy = -2y, fy ( -4, 3, -7 ) = 6

Z + 7 = 8(x+4) + 6(y-3)

Z + 7 = 8x + 32 + 6y - 18

Z + 7 = 8x + 32 + 6y - 18

Z + 7 = 8x + 6y + 14

Z = 8x + 6y + 14 - 7

Z = 8x + 6y + 7

Answer:

(X,Y)

(2,2)

(4,3)

(7,4.5)

(9,5.5)

Step-by-step explanation:

To match the input values with the output, substitute each value on the right into the equation.

1) x

[tex]\displaystyle\begin{aligned} y & = \frac{(x)}{2}+1 \\ \\ & = \frac{x}{2} + 1\end{aligned}[/tex]

The equation remains the same. Hence, x maps onto y.

2) 2

[tex]\displaystyle \begin{aligned} y &= \frac{(2)}{2}+1 \\ \\ & = 2\end{aligned}[/tex]

Therefore, map 2 with 2.

3) 4

[tex]\displaystyle \begin{aligned} y& = \frac{(4)}{2}+1 \\ \\ & = 3\end{aligned}[/tex]

Therefore, match 4 with 3.

4) 7

[tex]\displaystyle \begin{aligned} y& = \frac{(7)}{2}+1 \\ \\ & = 3.5 + 1 \\ \\ & = 4.5\end{aligned}[/tex]

Therefore, match 7 with 4.5.

5) 9

[tex]\displaystyle \begin{aligned} y& = \frac{(9)}{2}+1 \\ \\ & = 4.5 + 1 \\ \\ & = 5.5\end{aligned}[/tex]

And finally, match 9 with 5.5.

Answer:

thanks for the points

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

i just did that question and got it right!!

Answer:

True

Step-by-step explanation:

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Answer:

1. The interest is $ 117.

2. The amount is $ 1,317.

Step-by-step explanation:

The following data were obtained from the question:

Principal (P) = $ 1,200

Rate (R) = 3.25%

Time (T) = 3 years

Interest (I) =..?

Amount (A) =...?

1. Determination of the interest.

Principal (P) = $ 1,200

Rate (R) = 3.25%

Time (T) = 3 years

Interest (I) =..?

I = P × R × T / 100

I = 1200 × 3.25 × 3 / 100

I = $ 117

Therefore, the interest is = $ 117

2. Determination of the amount.

This can be obtained as follow:

Interest (I) = $ 117

Principal (P) = $ 1,200

Amount (A) =?

Amount (A) = principal (P) + interest (I)

A = P + I

A = 1200 + 117

A = $ 1,317

Therefore, the amount at the end of 3 years is $ 1,317

Answer:

h=2A/a+b

Step-by-step explanation:

Distribute the terms

Divide by two

Isolate h

That would be the steps

Answer:

Yes.

Step-by-step explanation:

Two squares with the same side lengths will always be a scale copy. Every side is equal because all sides are the same length if it wasn't that way it would be a rectangle or trapezoid.

A rectangle whose all sides are equal is called a square.  The two squares with the same length side will be lengths scaled copies of one another.

A rectangle whose all sides are equal is called a square.

A square is always a rectangle, parallelogram, and a quadrilateral but its reverse statement may or may not be true.(ie it is not always necessary that a rectangle is a square or a parallelogram is a square).

As it is known that two squares are always similar to each other which is because all the angles of a square are always 90°. Therefore, any two squares are always similar to each other.

Now, as it is given that the two square have the same length sides. Therefore, the two squares with the same length side will be lengths scaled copies of one another. This is because all the sides are equal and all the angles are equal.

Hence, the two squares with the same length side will be lengths scaled copies of one another.

Learn more about Squares here:

https://brainly.com/question/14198272

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Answer:

26,244

Step-by-step explanation:

First, find the pattern with the numbers you already have. That pattern is × 3.

Since you're already at the fourth term, just keep multiplying your product by 3 until you get to the ninth term.

108 × 3 = 324

324 × 3 = 972

972 × 3 = 2,916

2916 × 3 = 8748

8748 × 3 = 26244

Therefore, your answer is 26,244.

Answer:

43

Step-by-step explanation:

if EF(part) = 18 and DF(the whole line) = 61

61-18 is 43. 43=DE

Please give brainliest thanks

Answer:

2.52.

Step-by-step explanation:

If one number is x then the other = 3x/8.

Also x - 3x / 8 = 4.2

x - 0.375 x = 4.2

0.625x = 4.2

x = 4.2 / 0.625

x = 6.72.

So the lesser number is 6.72 * 0.375 = 2.52.

The lesser number is 2.52

If that one number is x, then we can agree that the other number is 3x/8.

Again, we are told that the difference between both is 4.2. Which means

x - (3x / 8) = 4.2

(8x - 3x)/8 = 4.2

8x - 3x = 8 * 4.2

5x = 33.6

x = 33.6/5

x = 6.72.

This means that the lesser number is 6.72 * 0.375 = 2.52.

Learn more here https://brainly.com/question/17279782

Answer:

Explained below.

Step-by-step explanation:

The vertical axis of Graph A represents the year for which the population of Benton is recorded.

Also the axis represents every other year, i.e. 2002, 2004, 2006 and so on.

This implies that the data is recorded for every other year.

Consider the data provided:

Benton population in 1000s             Year

               10                                     2002

               11                                     2004

               12                                     2006

               13                                     2008

               14                                     2010  ​

For every 2 years the population of Benton is increasing by 1000.

That is for every year the population of Benton is increasing by 500.

If we make the vertical axis using the years:

2001, 2002, 2003, 2004, 2005, 2006 and so on, the graph will remain same with more points to plot.

So, on altering the vertical axis the graph does not changes much.

The awncer is: B

just do it by 2

Answer:

55 1/50 or 2751/50

Step-by-step explanation:

Convert both expressions to improper form

Make their denominators the same

Multiply the numerators

Simplify the fraction if needed

Answer:

8/9/10

Step-by-step explanation:

Answer:

Step-by-step explanation:

First of all cross multiply

That's

Expand the terms

Add 16 to both sides

That's

Subtract 35w from both sides

We have

We have the final answer as

Hope this helps you

Kindly note that the data supplied is not up to 20. Hence, the answer will be based on the number of data given.

Answer:

Step-by-step explanation:

Given the following data:

BMI of 20 females :

17.7. 33.5. 26.6 24.7

28.8. 23.8. 18.3. 22.1

19.2. 22.6. 22.7. 38.9

27.3. 44.9. 32.2. 23.9

Lower class limit (LCL) = 15.0

Class width = 6.0

Class_interval_____frequency

15.0 - 20.9 _________3

21.0 - 26.9 _________7

27.0 - 32.9 _________3

33.0 - 38.9 _________2

39.0 - 44.9 _________1

Answer:

[tex]8^{18}[/tex]

Step-by-step explanation:

[tex]8^15 / 8^-3\\=8^{15-(-3)}\\=8^{15+3}\\=8^{18}[/tex]

Answer/Step-by-step explanation:

Given:

Population = 12,961

Dimension of field:

length (l) = 80 yards = 80*3 = 240 ft (1 yd = 3 ft)

width (w) = 45 yards = 45*3 = 135 ft

Area of the field = l*w = 240*135 = 32,400 ft²

Area occupied by 1 person = 2.5 ft²

No of people the field can occupy = 32,400 ÷ 2.5 = 12,960

Exactly 12,960 people can fit into the field.

The population of the city, which is 12,961, is more than what the field can accommodate. Therefore, the population cannot fit in.

The answer is:

5.19615

Answer:

1. 18

2. 23

3. 69

Step-by-step explanation:

y= 23

check it for your self

Answer:

18, 23 and 69

Step-by-step explanation:

Let x, y and z be the 3 numbers we are looking for.

● x + y + z = 110

z is 3 times y (z = 3y)

● x + y + 3y = 110

x is 5 less than y ( x = y -5)

● y-5 + y + 3y = 110

● 5y -5 = 110

Add 5to both sides

● 5y + 5 -5 = 110+5

● 5y = 115

Divide both sides by 5

● 5y/5 = 115/5

● y = 23

■■■■■■■■■■■■■■■■■■■■■■■■■

we have found that y = 23

● z = 3y

● z = 3×23

● z = 69

● x = y-5

● x = 23-5

● x = 18

Answer:

67*3=201

bcoz there were two decimals in 0.67 and one decimal point in 0.3 hence we multiply them normally as shown above.

below is the ryt answer

0.67*0.3=0.201

hop u understood

tnxx

Answer:

hey man if you figure this out comment back bc i need to know also. sorry and thanks!

Step-by-step explanation:

Answer:

A=192cm^2

Step-by-step explanation:  Cut the shape. You now have Shape A and B.

Shape A is 8x8=64cm.

Shape B is 16x8=128cm

128cm+64cm= 192^2

Answer:

(-4,3)

Step-by-step explanation:

(x1 + 2)/2 = -1

x1 = -4

(y1 + 9)/2 = 6

y1 = 3

So, the other endpoint is (-4,3) .

The missing endpoint is D(-4,3).

In geometry, the midpoint of the line segment is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints.

Now it is given that,

Midpoint of line segment, e(x,y) = (-1,6)

one endpoint of line segment, F(x₁,y₁)  = (2,9)

∴one endpoint of line segment, D(x₂,y₂)

Now since endpoint of line segment is given as,

{[(x₁+x₂ )/2] , [(y₁+y₂ )/2]}

Therefore,

x = (x₁+x₂ )/2

y = (y₁+y₂ )/2

Put the values we get,

-1 = (2+x₂)/2

-2 = (2+x₂)

⇒ x₂ = -2 -2

⇒ x₂ = -4

Again,

6 = (9+y₂ )/2

12  = 9+y₂

⇒ y₂ = 12-9

⇒ y₂ = 3

So, the endpoint is (-3,4)

Hence,The missing endpoint is D(-4,3).

To learn more about midpoint of line segment :

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Answer:

1. 7

2. 1

3. no mode

Step-by-step explanation:

1. Ordering the data from least to greatest, we get:

Since there is an even number of items, we compute the median by taking the mean of the two middlemost numbers, 6 and 8:

So the median is 7.

2. Put in order:

Count:

Find the number that occurs most frequently which is 1 (5 times)

3. Put in order:

If the values in a given set all occur the same number of times, the data set has no mode because no number is any more common than any other.

Answer:

12.5r + 200 = 12.5*2r

Step-by-step explanation:

Rate of Hoppertunity = r

Rate of Dortmund = 2r as it is twice as fast

Let the distance Hoppertunity runs be d, then the distance Dortmund runs is d + 200 m

Since it took 12.5 seconds Dortmund to catch Hoppertunity, it can be expressed as:

By replacing d in the second equation, we get:

Soving:

Hoppertunity's rate is 16 m/sec

Dortmund's rate is 32 m/sec