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The nth term Tn = n - 12 illustrates an arithmetic progression

The sum of the first 25 terms is 25

The nth term is given as:

Tn = n - 12

Calculate the first term

a = 1 - 12

a = -11

Calculate the second term

T2 = 2 - 12

T2 = -10

Calculate the common difference (d)

d = T2 - a

d = -10 + 11

d = 1

The sum of n terms is then calculated as:

Sn = n/2(2a + (n - 1) * d)

So, we have:

S25 = 25/2(-2 * 11 + (25 - 1) * 1)

Evaluate

S25 = 25

Hence, the sum of the first 25 terms is 25

Read more about arithmetic progression at:

https://brainly.com/question/6561461

Answer:

x=4

Step-by-step explanation:

6x+3 = 27

Subtract 3 from each side

6x+3-3=27-3

6x = 24

Divide each side by 6

6x/6 = 24/6

x = 4

Answer:

x=4

Step-by-step explanation:

6x+3=27

6x=24

x=4

Answer:

72 degrees

Step-by-step explanation:

all triangles have angles adding up to 180

that does not look like a right triangle

only possible answer is 72

Answer:

angle U = 72°

Step-by-step explanation:

The sum of the internal angles in a pentagon is 540°

[tex]x^{o} +(2x)^{o} +(2x)^{o} +90^{o}+90^{o} =540^{o}[/tex]

[tex](5x)^{o} =540^{o} -180^{o}[/tex]

[tex]x^{o} =\frac{360^{o} }{5} =72^{o}[/tex]

Hope this helps

Answer:

5/6

Step-by-step explanation:

it comes out originally like 10/12 but if your simplify it it's 5/6

Answer:5/6

Step-by-step explanation: 12-2 =10 so 10/12 which simplifies to 5/6

Answer:

5 ft

Step-by-step explanation:

Since we have a rectangle, we know for sure that perimeter = double the width and double the height. Algebraically, that looks like:

P = 2W + 2H

Let's sub in the given values, P and W:

18 = 2(4) + 2H

Now, let's solve for the height, H:

18 = 8 + 2H

10 = 2H

10/2 = H

5 = H

I hope this helps!

The amount that Rachel would have in her account after 3 years with annual compounding is $11.58.

When interest is compounded annually, it means both the amout deposited and the interest already accrued increases in value once a year.

The formula for calculating future value:

FV = P (1 + r)^n

$10 x (1.05)^3 = $11.58

To learn more about future value, please check: https://brainly.com/question/18760477

Answer:

1.58

Step-by-step explanation:

its right

Answer:

w

Step-by-step explanation:

The number of pairs of shoes in the factory is approximately 2 × 10⁶  in 10 years.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

A shoe factory produces 1.81 × 10⁴ pairs of shoes each month.

Estimate the number of pairs of shoes the factory will produce if it maintains that rate for 10 years.

There are 1.2 × 10² months in 10 years.

1.81 ≈ 2 and 1.2 ≈ 1

The number of shoes in 10 years will be

→ (2 × 10⁴)(1 × 10²)

→ 2 × 10⁶

The number of pairs of shoes in the factory is approximately 2 × 10⁶  in 10 years.

More about the multiplication link is given below.

https://brainly.com/question/19943359

Answer:

9.09

Step-by-step explanation:

[tex]\frac{0.81}{0.09} + \frac{0.81}{9}[/tex]

= 9 + [tex]\frac{0.81}{9}[/tex]

= 9+ 0.09

= 9.09

I hope this helped!! If so please rate and mark brainliest <3!!

Answer:

9.4 cm

Step-by-step explanation:

pi*diameter=circumference

3.14159*3=9.42478

round to nearest millimeter

9.4 cm

Answer:

300 calories

Explanation:

Here radius:

perimeter of track = 2 π r = 2 (3.14) (75) = 471 ft

total laps ran:

So calories burnt:

Answer:

300 calories

Step-by-step explanation:

Circumference of a circle = πd

(where d is the diameter)

Given:

Substitute the given values into the formula to find the circumference (length of one lap):

⇒ Circumference = 3.14 × 150 = 471 ft

Given:

⇒ Total laps = total distance run ÷ circumference

                     = 11775 ÷ 471

                     = 25

Given:

⇒ Total calories burnt = total number of laps × cal burnt per lap

                                     = 25 × 12

                                    = 300 calories

Answer:

[tex]\sf 3x(3x+y)(2x-1)[/tex]

Step-by-step explanation:

Given expression:

[tex]\sf 18x^3 + 6x^2y - 9x^2 - 3xy[/tex]

Factor out common term [tex]\sf 3x[/tex]:

[tex]\sf \implies 3x(6x^2 + 2xy - 3x - y)[/tex]

Factor [tex]\sf (6x^2 + 2xy - 3x - y)[/tex]

Rearrange:

[tex]\sf \implies 6x^2 - 3x+ 2xy - y[/tex]

Factor pairs of terms:

[tex]\sf \implies 3x(2x-1)+ y(2x - 1)[/tex]

Factor out common term (2x - 1):

[tex]\sf \implies (3x+y)(2x-1)[/tex]

Final solution:

[tex]\sf \implies 3x(3x+y)(2x-1)[/tex]

Answer:

6x2y(3xy2 − 1)

Step-by-step explanation:

i got it right on my quiz :D

Answer: D

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are 6 angles, 3 pairs of vertical angles that sum to 360°.

Set below equation and solve for x:

Opposite angles are equal and linear pairs are supplementary

Answer:

5.9 or 5.85 unrounded

The volume of the composite solid is 4823.04 ft³.

Volume is the amount of space or the capacity of a solid shape.

To find the volume of the composite solid, we use the formula below.

Formula:

The volume of the composite solid = Volume of the cone + volume of the cylinder.

Where:

From the question,

Given:

Substitute these  values into equation 1

Hence, The volume of the composite solid is 4823.04 ft³.

Learn more about volume here: brainly.com/question/1972490

Answer:

The cost for selling 100 lunches is 150 dollars.

Step-by-step explanation:

First, consider the equation: y = mx + b
y in this case is the profit in dollars (what' on the y axis) x in this case is the number of lunches sold (x- axis), m is the slope.

How do we calculate the slope of a graph? we take two points from the graph, let's say, (65,45) and (20,-90)

the formula for finding the slope is:

[tex]\frac{rise}{run} = \frac{y2 - y1}{x2-x1} \\\\[/tex]

where (x1, y1) is coordinates of first point in the line

where (x2, y2) is coordinates of second point in the line

[tex]\frac{45-(-90)}{65-20} = 3[/tex]

m = 3

y = 3x + b

now we need to find b. We just insert one point of your choice from the grpah, let's choose (50,0) now plug them in out newfound equation (y = 3x + b)

0 = 3(50) + b

find b using algebra:

0 = 150 + b

b = -150

Yay! we found b, now we have the equation y = 3x - 150

(by the way I just noticed you can find b from the graph, the point that touches the y-axis is b)

now we are told to find the cost for selling 100, we need to plug in 100 instead of x in our equation.

y = 3(100) - 150 = 150

therefore the cost is 150 dollars.

hope this helps, tell me if you misunderstood something.

Answer:

b=133 and c=47

Step-by-step explanation:

b+47=180

b=180-47=133

b=133

and

c=b+133=180

c=180-133=47

c=47

Answer:

it is A Scalene Triangle

Answer:

635

Step-by-step explanation:

Answer:

45+40+45=55+60+90+30+55+35+60+45+75

Step-by-step explanation:

Its 505

Answer:

6:16

Step-by-step explanation:

To find the answer you do 3x_=6 which the missing number is 2, so you do 8x2=16 because whatever you multiply the first number by you have to do the same to the second number in fractions, ratios, etc.

Answer:

r=1.3in

Step-by-step

hope this helps:)

Answer:

Step-by-step explanation:

congruent sides

Answer:

soIve the congcreunt sides

Step-by-step explanation:

then ask ur parents

Answer:

(y-4) = 2(X+1)

Step-by-step explanation:

The given eqaution is; y = 2x-5.......(i)

Now; the equation is in the form of y= mx+b.

Slope(m1) = 2.

As per the condition of parallel lines, the slope of the 1st equation (m1) = the slope of the 2nd equation (m2).

Therefore, m1= m2= 2

Now, use one point formula for finding the equation of the line which passes through the point.

(y-y1) = m2(x-x1)

~ Put all values.

(y-4) = 2(X+1)

You can simply write up here. But if you want to make it simplified form then, (look below)

~ simplify it.

y = 2x +2+4

The eqaution of the line which is parallel to y = 2x -5 and point (-1,4) is y = 2x + 6.

Answer:

x2-y2=49

Step-by-step explanation:

the radius is the square root of the number after the equal sign.  So the only choice with a number with square root 7 is x2-y2=49

Step-by-step explanation:

parallel lines have equal slopes

therefore,

line d will have slope -9/2

Answer: sqrt(182)

Step-by-step explanation: