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Natali5045456 [20]
1 year ago
13

How many faces does the solid made from the net below have? A. 7B. 8C. 12D. 18

Mathematics
1 answer:
Kruka [31]1 year ago
7 0

Answer:

B. 8

Explanation:

The figure forms a septagon.

The hexagons form the base, and the rectangles attached to them form the sides.

Therefore, in total the solid has two hexagons as sides and 6 rectangles connecting the hexagon to the base hexagon. Hence, in total the solid has

2 + 6 = 8 faces.

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An arithmetic sequence is represented in the following table. Enter the missing term of the sequence.
Allisa [31]

Answer:

329.5

Step-by-step explanation:

From the table we see that the common difference d = 0.5 - (-6.5)

= 7, and 7.5 - 0.5 = 7. Also 14.5 - 7.5 = 7.

The first term a1 = -6.5.

The nth term = a1 + (n - 1)d  so for our sequence we have:

49th term =  -6.5  + (49 - 1)7

= -6.5 + 48 * 7

= -6.5 + 336

= 329.5   (answer).

4 0
3 years ago
Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for the constant of integration.
trasher [3.6K]

Answer:

\frac{xe^{7x}}{7} + \frac{e^{7x}}{49}

Step-by-step explanation:

Given the integral equation

\int\limits{xe^{7x}} \, dx \\

According to integration by part;

\int\limits {u} \, dv = uv +  \int\limits {v} \, du

u = x, dv = e^7x

du/dx = 1

du = dx

v = \int\limits {e^{7x}} \, dx \\v = e^7x/7

Substitute the given values into the formula;

\int\limits {xe^{7x}} \, dx = x(e^{7x}/7) + \int\limits ({e^{7x}/7}) \, dx\\\int\limits {xe^{7x}} \, dx = \frac{xe^{7x}}{7} + \frac{e^{7x}}{7*7} \\\int\limits {xe^{7x}} \, dx = \frac{xe^{7x}}{7} + \frac{e^{7x}}{49}

3 0
2 years ago
PLEASE HELP ME IM BEGGING YOU <br><br> WILL GIVE BRAINLIEST!!!
Inessa [10]
Kvk yes didjendjdidiejdjd
8 0
2 years ago
If 2x - 3y = 24 and 3x + 4y = 2, what is the value of x - y ?
Reika [66]

Answer:

10

Step-by-step explanation:

2x - 3y = 24 ------ (1)

3x + 4y = 2 ------ (2)

(1) × 4,

8x - 12y = 96 ------ (3)

(2) × 3,

9x + 12y = 6 ------ (4)

(3) + (4)

17x = 96 + 6

= 102

x = 102 ÷ 17

= 6

Sub x = 6 into (2),

3(6) + 4y = 2

18 + 4y = 2

4y = 2 - 18

= -16

y = -16 ÷ 4

= -4

Therefore,

x - y = 6 - (-4)

= 6 + 4

= 10

<em>i</em><em> </em><em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em> </em><em>you</em><em> </em><em>!</em><em>!</em>

7 0
2 years ago
Cody wants to attend the fall festival at school, The price of admission to the festival is $5.50 and each game costs an additio
igor_vitrenko [27]
He can play up to 12 games!

Hope this helps!
8 0
2 years ago
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