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3 years ago

Find the 58"" term of the following arithmetic sequence, 18, 23, 28, 33,

Mathematics

1 answer:

Anna11 [10]3 years ago

6 0

Answer:

303

Step-by-step explanation:

So the equation to find a term is An=a1+(n-1)d

An represents the value of the number (n)

and n is the selective that you want

d is the difference between the first and second term which is 23-18=5, and you can see that adding 5 to the previous term gives the following term.

a1 is the first term in the sequence

so knowing all that now you can go back and inset all variables into the equation

An=18+(58-1)5

An=303

Hope that helps :)

Please give brainliest

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what's the thickness of a rectangle prism with a height of 12 inches, a width of 8 inches and surface area 992 square inches?

Novosadov [1.4K]

Answer:

Thickness of rectangle prism is 20 inches.

Step-by-step explanation:

Given:

Surface area of rectangular prism, A = 992 sq inches.

Height, h = 12 inches

Width, w = 8 inches

To find:

Thickness / length of prism, $l$ = ?

Solution:

First of all, let us learn the formula for surface area of a rectangular prism.

Formula for surface area of a prism is given as:

$A=2(wl+hl+hw)$

As there are 6 faces, each face is a rectangle and area of all the faces is considered in the formula. It is just like a cuboid like structure.

Putting all the given values in the formula to find the value of $l$ :

$992=2(8l+12l+8 \times 12)\\\Rightarrow 496 = 20l + 96\\\Rightarrow 20 l =496-96\\\Rightarrow 20 l =400\\\Rightarrow l = \dfrac{400}{20}\\\Rightarrow l = 20\ inches$

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3 years ago

Which of the following number lines depicts the solution to 4(x+1) > 16 + 7x?

Nataly [62]

9514 1404 393

Answer:

b) x < -4

Step-by-step explanation:

Eliminate parentheses and you have ...

4x +4 > 16 +7x

-12 > 3x . . . . . . . . subtract 4x+16

-4 > x . . . . . . . . divide by 3

The number line will have an open circle at -4 and be shaded to the left. The pictures are a bit fuzzy, but we think choice B has that description.

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3 years ago