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pickupchik [31]
2 years ago
11

Evaluate the sum from n equals four to ten of quantity five n plus two.

Mathematics
1 answer:
Anastasy [175]2 years ago
4 0

Answer:

The answer is D. 259

Step-by-step explanation:

Step 1: \sum _{n=4}^{10}5n+2

Step 2: \sum _{n=1}^{10}5n+2-\sum _{n=1}^35n+2

Step 3:

\sum _{n=1}^{10}5n+2=\sum _{n=1}^{10}5n+2-\sum _{n=1}^35n+2\\\sum _{n=1}^{10}5n+2=295

\sum _{n=1}^35n+2=\sum _{n=1}^35n+\sum _{n=1}^32=36\\

Step 4: 295-36=259

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it costs $2.48 for a 16 ounce jar of peanut butter and $5.44 for a 40 ounce jar. which jar is the better buy
gogolik [260]
Second one, please mark branliest
7 0
3 years ago
This is the pond in a shape of a prism, it is completely full of water. Colin uses a pump to empty the pond. The level goes down
AnnZ [28]

Answer:

150 minutes

Step-by-step explanation:

P.S - The exact question is -

Given - This is the pond in a shape of a prism, it is completely full of

             water. Colin uses a pump to empty the pond. The level goes

             down by 20 cm in the first 30 min.

To find - Work put how many minutes Colin has to wait for the pond

               to completely empty.

Proof -

Given that,

Height of prism = 1 m

Also,

Base of the prism is trapezium and

Sides of the trapezium are 0.6 m and 1.4 m

Height of trapezium is 2 m

We know that,

Area of trapezium = \frac{1}{2}× (sum of sides)× height

                             =  \frac{1}{2}× (0.6 + 1.4)× 2

                             =  \frac{1}{2}× (2)× 2

                             =  2 m²

⇒Area of trapezium = 2 m²

Now,

Volume of prism = Area of trapezium × height of prism

                          = 2 m² × 1 m

                          = 2 m³

⇒Volume of prism = 2 m³

Now,

Given that the level goes down by 20 cm in the first 30 min

We know

100 cm = 1 m

⇒1 cm = \frac{1}{100} m = 0.01 m

⇒20 cm = 20×0.01 m = 0.2 m

⇒The level goes down by 0.2 m in the first 30 min.

Also,

we know that height of water = height of prism = 1 m

So, the remaining water left in the pond = 1 m - 0.2 m = 0.8 m

Also,

Volume of Remaining water = Area of trapezium × height

                                           = 2 m² × 0.8 m

                                           = 1.6 m³

⇒Volume of Remaining water = 1.6 m³

Now,

Volume of emptied water = Total Volume - Volume of Remaining water

                                       = 2 m³ - 1.6 m³

                                       = 0.4 m³

⇒Volume of emptied water = 0.4 m³

Now,

0.4 m³ water will be empty in 30 minutes

⇒ 1 m³ water will be empty in \frac{30}{0.4} = 75 minutes

⇒1.6 m³ water will be empty in 1.6 × 75 = 120 minutes

∴ we get

The remaining water is empty in 120 minutes

So,

Total pond is empty in 120 + 30 minutes

⇒Total pond is empty in 150 minutes

5 0
3 years ago
There are 28 total students in Mr. Flynn’s class. The ratio of his students who are in the play to those who are not in the play
Vanyuwa [196]
About 18 students are in the play
3 0
3 years ago
‼️ PLEASEE HELPPP ‼️
Naddik [55]

Answer:

30

Step-by-step explanation:

3x - 27 = x +11

3x -27 +27 = 11 + 27

3x - x = x -x + 38

2x = 38

2x ÷ 2 = 38

X = 19

19 × 3 -27 = 30

4 0
3 years ago
Simple math help?<br> Solve for x<br> √x+12 = √x+2
lozanna [386]
This is an impossible equation. If sqrt(x) = sqrt(x), and sqrt(x) + 2 = sqrt(x) + 12, then that would mean that 2=12, which is incorrect.
3 0
3 years ago
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