Find the sum of the first 48 terms of the following series, to the nearest integer. 11, 18,25,...

Step-by-step explanation:

[tex]2n + 19 = 21[/tex]

[tex]2n = 21 - 19[/tex]

[tex]2n = 2[/tex]

[tex]n = 2 \div 2[/tex]

Therefore, N = 1

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Answer:

n=1

Step-by-step explanation:

to solve this you put 19 on the opposite side and subtract 19 fron 21 because subtraction is the opposite of addition and then you get 2 and then divide 2 by 2 to get 1 so n=1. Yo can check it by doing 2*1=2 then 2+19 =21 so it is the correct answer.

Answer:

3 and 5/12

Step-by-step explanation:

[tex]4 \frac{3}{4} = \frac{19}{4}\\ \\1\frac{1}{3} = \frac{4}{3}[/tex]

[tex]\frac{19}{4} - \frac{4}{3} \\\\\frac{19(3) - 4(4)}{12} \\\\\frac{57 - 16}{12} \\\\\frac{41}{12} \\[/tex]

This fraction is equivalent to,

[tex]3 and 5/12 = 3\frac{5}{12} = \frac{12*3 + 5}{12} = \frac{41}{12}[/tex]

Answer:

410

Step-by-step explanation:

Every sequence 102 gets added

'

Answer:

[tex]162\sqrt{3}[/tex]

Step-by-step explanation:

The equation for finding the area of a hexagon with a side length is

[tex](s^23\sqrt{3} )/2[/tex]

insert [tex]6\sqrt{3}[/tex]

and you are left with 162\sqrt{3}

Hope that helps :)

Answer:

[tex] \displaystyle E)\: 162 \sqrt{3} [/tex]

Step-by-step explanation:

we are given a side a polygon

and said to figure out the area

recall the formula of regular polygon

[tex] \displaystyle \: \frac{ {na}^{2} }{4} \cot \left( \frac{ {180}^{ \circ} }{n} \right) [/tex]

where a represents the length of a side

and n represents the number of sides

the given shape has 6 sides

and has a length of [tex]\displaystyle 6\sqrt{3}[/tex]

so our n is 6 and a is 6√3

substitute the value of n and a:

[tex] \displaystyle \: \frac{ {6 \cdot \:( 6 \sqrt{3} })^{2} }{4} \cot \left( \frac{ {180}^{ \circ} }{6} \right) [/tex]

reduce fraction:

[tex] \displaystyle \: \frac{ {6 \cdot \:( 6 \sqrt{3} })^{2} }{4} \cot \left( \frac{ { \cancel{180}^{ \circ}} ^{ {30}^{ \circ} } }{ \cancel{6 \: } } \right) [/tex]

[tex] \displaystyle \: \frac{6 \cdot \: (6 \sqrt{ {3} } {)}^{2} }{4} \cot( {30}^{ \circ} ) [/tex]

simplify square:

[tex] \displaystyle \: \frac{6 \cdot \: 36 \cdot \: 3 }{4} \cot( {30}^{ \circ} ) [/tex]

reduce fraction:

[tex] \displaystyle \: \frac{6 \cdot \: \cancel{36} \: ^{9} \cdot \: 3 }{ \cancel{ 4 \: } } \cot( {30}^{ \circ} ) [/tex]

[tex] \displaystyle \: 6 \cdot \: 9 \cdot \: 3 \cot( {30}^{ \circ} ) [/tex]

simplify multiplication:

[tex] \displaystyle \: 162\cot( {30}^{ \circ} ) [/tex]

recall unit circle:

[tex] \displaystyle \: 162 \sqrt{3} [/tex]

hence, our answer is E

Answer:

B. 5a + 10

Step-by-step explanation:

Given:

5(a+2)

Open parenthesis

5(a+2)

= 5a + 10

A. 5a + 2

Wrong option

B. 5a + 10

Correct option

C. a + 10

Wrong option

D. 5 + (a + 2)

= 5 + a +2

= a + 7

Wrong option

Answer:

9,6 good luck with the answer

answer: (9,0). bc moving down is in the y axis. subtract 3 from (9,3) and it equals (9,0)

A is smaller by 1/5 of b

So if you add a and 1/5 of b you would have b:

a + 1/5b = b

Solving for a you have:

A = b - 1/5b = 4/5b

A = 4/5b

Solving for b divide both sides by 4/5:

B = 5/4a

Since 4/4 = 1, this means b I’d bigger than a by 1/4

The answer = 1/4

Answer: A.) X= -4,1

Step-by-step explanation:

edge 2021

The correct option is Option A:  The solution of the quadratic equation is x= -4 and 1.

The quadratic formula is the method for solving and finding the solution of the quadratic equation ax²+bx+c=0.

The solution of the quadratic equation ax²+bx+c=0. by the quadratic formula is given by

x= {-b±√(b²-4ac)}/2a

Here b²-4ac is discriminant denoted by D.

D= b²-4ac

Given the quadratic equation is

x²+3x-4=0

for solving by the quadratic formula

comparing the above equation by ax²+bx+c=0

a=1

b=3

c=-4

The solution of this quadratic equation will be

x= {-b±√(b²-4ac)}/2a

⇒x= {-3±√(3²-4.1.(-4))}/2.1

⇒x= {-3±√(9+16)}/2

⇒x= {-3±√25}/2

⇒x=(-3±5)/2

⇒x= (-3+5)/2      OR      (-3-5)/2

⇒x= 2/2    OR     -8/2

⇒x=1 or -4

By checking all the options

Therefore the correct option is Option A:  The solution of the quadratic equation is x= -4 and 1

Learn more about the quadratic formula

here: https://brainly.com/question/8649555

#SPJ2

Answer:

-32

Step-by-step explanation:

Answer:

0.125

green

Step-by-step explanation:

Since we know that there is 8 clips (2+2+4) and then we take 4/8 as a decimal and we then get 0.125

Answer: 0.25

Step-by-step explanation: 2+4+2=8 8clios in the bag and 2 are green, so 2/8 is the probability it will be a green selected. 2/8 in decimal form is 0.25

Answer:

The second option 5x.

Step-by-step explanation:

Because it says 'x inches each' knowing that it said 5 before that. (5x) no math included just wording and phrasing :)

Answer:

So the slope in this case is m = -2. Using point (0, 7) and m =-2 with point-slope we have y - 7 = -2(x-0) => y = -2x +7. Then we realize (0,7) actually is the y-intercept. We could have gone directly to y = -2x + 7. If we use (3,1) and m = -2 we get y-1=-2(x-3) => y -1 = -2x+6 => y = -2x+7. Another way to find y-intercept is to use y = mx +b directly. If we use the point (3,1) that means when x=3, y = 1. So 1=-2(3) + b => 1=-6+b => b = 7. So, y = -2x+7. Same result in all cases. I like to use point-slope. Others prefer to use y = mx+b, substituting for x, y, and m to solve for b.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

the answer is

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

1. (3,-1)

2. Right

3. 3

4. 6

5. (6,-1)

6. x=0

Explanation: Took the test

Answer:

Step-by-step explanation:

Answer:

3710

Step-by-step explanation:

The  mean absolute deviation of the seven sandwiches is 85.31 calories.

Mean is the average of a group of numbers. The mean absolute deviation (MAD) is calculated using:

[tex]MAD=\frac{\Sigma_{i=1}^n|x_i-mean|}{n} \\\\Mean=\frac{740+610+490+370+500+510+460}{7}= 525.71\\\\MAD=\frac{|740-525.71|+|610-525.71|+|490-525.71|+|370-525.71|+|500-525.71|+\\|510-525.71|+|460-525.71|}{7} \\\\\\MAD=85.31[/tex]

The  mean absolute deviation of the seven sandwiches is 85.31 calories.

Find out more on mean at: https://brainly.com/question/1136789

-509

Im not sure if this is correct but i believe so

Answer:

14.42

Step-by-step explanation:

17.00 x .80  20% off means price is 80% (or .80) of price

=13.6

13.6 x .06 = .82 sales tax

13.60 + .82 = 14.42 sales price plus sales tax

Answer:

n = -1 , 3.5

Step-by-step explanation:

Move the terms to the left side and set equal to zero. Then set each factor equal to 0

Answer:

6 pounds

Step-by-step explanation:

2 1/2 + 3 /1/3 + 1/6 = 6

Answer:

20-24

Step-by-step explanation:

you can see that when you find the middle of the total data the data set left is in the 20-24 category

hope this helps! :)

Answer:

6.69 cm

Step-by-step explanation:

Given data

Diameter= 12cm

Radius= 6cm

Volume= 757.36cm^3

The expression for the volume of a cylinder is

V= πr^2h

Substitute

757.36= 3.142*6^2*h

757.36=113.112h

h= 757.36/113.112

h= 6.69 cm

Answer:

1. 0.39

2. 0.126

3. 5%

4. 125%

hope this helped!

Answer:

sides: scalene (no sides are the same length)

angles: obtuse (an angle is over 90°)

Answer:

The car's acceleration was 3.73 metre per second square = 3.73m/s²

Step-by-step explanation:

The car accelerated from rest.

initial velocity (u) = 0m/s

final velocity (v) = 25miles/hr = 11.2m/s

time (t) = 3s

a = ?

v = u+at

a = (v-u)/t

a = (11.2 - 0) / 3

a = 11.2/3

a = 3.73

a = 3.73m/s²

a

Answer:

0≤x≤169/9

Step-by-step explanation: