All categories

4 years ago

Evaluate the summation of 3 n plus 2, from n equals 1 to 14

Mathematics

1 answer:

Bingel [31]4 years ago

7 0

Answer:

343

Step-by-step explanation:

for 3n+2

5+8+11+14+17+20+23+26+29+32+35+38+41+44 = 343

You might be interested in

A die is rolled. Which is the probability of rolling an even number or a number greater than 4?

9966 [12]

Answer:

Step-by-step explanation:iii

6 0

3 years ago

Michelle brought an apple cut in 4 for $0.10 per piece. How much should she pay for 3 dozen pieces

Leya [2.2K]

Answer:

$0.90

Step-by-step explanation:

$\frac{4}{10}=0.4$

3 dozen = 36

$\frac{36}{0.4} =\frac{y}{0.1}$

0.4 × y = 36 × 0.1

0.4y = 3.6

0.4y ÷ 0.4 = 3.6 ÷ 0.4

y = 9

5 0

3 years ago

A 4-lb. force acting in the direction of (vector) 4,-2 moves an object just over 7ft from point (0,4) to (5,-1). Find the work d

Tcecarenko [31]

To solve this problem, we have to find the net displacement and the net force and the multiply the dot product together and get the work done.

The work done on moving the object is 27ft*lbs

<h3>Work done in moving the object from point A to point B</h3>

To find the work done on this object, let's find the net force on the object.

Data;

force = 4lb
direction = 4, -2
displacement = 7ft
direction = (0, 4) to (5,1)

The unit vector of the force is

$\sqrt{4^2 +(-2)^2} =\sqrt{16 + 4} = \sqrt{20}$

$\frac{4}{\sqrt{20} }, \frac{-2}{\sqrt{20} }$

The net force acting on the object is

$F = 4(\frac{4}{\sqrt{20} }, \frac{-2}{\sqrt{20} })\\F= (\frac{16}{\sqrt{20} }, \frac{-8}{\sqrt{20} } )$

The displacement on the object is 7ft through (0,4) to (5, -1)

The unit vector on displacement is

$\sqrt{5^2 + (-1-4)^2} = \sqrt{25+25} = \sqrt{50}$

$\frac{5}{\sqrt{50} }, \frac{-5}{\sqrt{50} }$

The net displacement will be

$7(\frac{5}{\sqrt{50} }, \frac{-5}{\sqrt{50} }) = \frac{35}{\sqrt{50} }, \frac{-35}{50}$

The work done will be F.d

$w = f. d \\$

$w = (\frac{16}{\sqrt{20} }, \frac{-8}{\sqrt{20} } ) * \frac{35}{\sqrt{50} }, \frac{-35}{50}\\w = 17.71+ 8.854\\w = 26.567 = 27ft*lbs$

The work done on moving the object is 27ft*lbs

Learn more on work done on an object here;

brainly.com/question/26152883

#SPJ1

6 0

3 years ago

What is 2 3/4 × 1 5/6 = in a fraction

xz_007 [3.2K]

Make into improper fraction

2 3/4= 11/4 and 1 5/6= 11/6

now multiply

11/4*11/6= 121/24 which turns to 5 1/24

I hope this helps!

7 0

3 years ago

Read 2 more answers

A 3 by 3cm grid shows nine 1 by 1 cm squares and uses 24cm of wire.

zalisa [80]

Answer:

840 cm

Step-by-step explanation:

Given that in the question we have, : 9, 1 cm × 1 cm squares setting a 3 × 3 grid.

Therefore wire required in 3 x 3 grid is

3(3+1) + 3(3+1)

= 3 × 4 + 3 × 4

= 24 I'm

Similarly, the length of the wire required in 20 by 20 grid will be

=> 20(20+1) + 20(20+1)

=> 20 × 21 + 20 × 21

=> 420 + 420

= 840cm

6 0

3 years ago