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alex41 [277]
3 years ago
12

The sequence 2, 3, 5, 6, 7, 10, 11, $\ldots$ contains all the positive integers from least to greatest that are neither squares

nor cubes. what is the $400^{\mathrm{th}}$ term of the sequence?
Mathematics
1 answer:
sergeinik [125]3 years ago
7 0
The 400th term is 425.

There are floor(√400) = 20 squares in the range 1..400, so the 400th term will be at least 420. There are floor(∛420) = 7 cubes in the range 1..400, so the 400th term may be as high as 427. However, there are \lfloor\sqrt[6]{427}\rfloor=2 numbers that are both squares and cubes. Consequently, the 400th term will be 427-2 = 425.
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Which polyhedron is represented by the net shown
irina1246 [14]

Answer:

triangular pyramid

Step-by-step explanation:

Let's make the central triangle the "base", or the bottom face, of our polyhedron. Try to visualise what will happen if we fold up the three triangles so that their top vertices meet at the center top (see diagram).

If we can do that, we'll see that it's a pyramid with a triangular base, so it's a triangular pyramid.

3 0
3 years ago
Read 2 more answers
Alberto has 2 cats the smaller cat weighs 10 3/4 pounds the larger cat weighs 15 1/3 pounds how much do the cats weigh altogethe
ElenaW [278]

Answer:

A. 26 1/2

Step-by-step explanation:

change denominator so they can be the same

3/4*3  =   9/12

1/3*4   =   4/12

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4 0
3 years ago
What is the surface area of this right rectangular prism?
vagabundo [1.1K]

Answer:

A≈32\frac{3}{10}ft²

--

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Then plug in your variebles

A=2( 1.33*1.5+5+1.5+5+1.33)

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4 0
2 years ago
I know it is a long question but please I will mark brainlist to the person who answers please help
Diano4ka-milaya [45]

Answer:

Carla lives 16 miles from the Library.

The mistake is drawng the diagram incorrectly and using the miles given in the wrong places. The <u>student's</u> diagram has Yuri in a place that's Southwest of the Library in the diagram given

Step-by-step explanation:

If Yuri lives 24 miles SOUTH of the library, the "b" side of the triangle should be 24, with the Library at the top and Yuri at the bottom left, which is the west end of the base. The base "a" of the triangle should extend 10 to the right (East in compas directions) forming the right angle. Carla lives at the sharp southeast corner of the triangle, and the Hypotenuse "c"  from her house to the Library is the distance we have to figure.

c² =a² + b²

c² = 10² + 24²

c² = 100 + 576

c² = 676

√c² = √676

c = 26       Carla lives 26 miles from the Library.

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3 years ago
Choose an online tool or paper to create an icon by transforming the shape according to the rule T(0, 3) ∘ Rℓ(△CDE).
creativ13 [48]

Answer:

A

Step-by-step explanation:

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2 years ago
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