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3 years ago

What is 4n squared plus n squared?

Mathematics

1 answer:

Nutka1998 [239]3 years ago

8 0

Answer:

Step-by-step explanation:

Itś 5n²

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Solve the equation (linear equation)<br><br> <img src="https://tex.z-dn.net/?f=8%5E%7B2x%2B7%7D%20%3D%20%28%5Cfrac%7B1%7D%7B32%7

Minchanka [31]

Answer: $x=-1$

Step-by-step explanation:

By the negative exponent rule, you have that:

$(\frac{1}{a})^n=a^{-n}$

By the exponents properties, you know that:

$(m^n)^l=m^{(nl)}$

Therefore, you can rewrite the left side of the equation has following:

$(\frac{1}{8})^{-(2x+7)}=(\frac{1}{32})^{3x}$

Descompose 32 and 8 into its prime factors:

$32=2*2*2*2*2=2^5\\8=2*2*2=2^3$

Rewrite:

$(\frac{1}{2^3})^{-(2x+7)}=(\frac{1}{2^5})^{3x}$

Then:

$(\frac{1}{2})^{-3(2x+7)}=(\frac{1}{2})^{5(3x)}$

As the base are equal, then:

$-3(2x+7)=5(3x)$

Solve for x:

$-6x-21=15x\\-21=15x+6x\\-21=21x\\x=-1$

8 0

3 years ago

5.Write each algebraic expression in simplest form.

Hatshy [7]

Answer:

=12x+y

Step-by-step explanation:

Combine like terms

=5x+-3y+7x+4y

=(5x+7x)+(-3y+4y)

=12x+y

7 0

3 years ago

Read 2 more answers

If y varies directly with x, and y= 10 when x = 4, find y when x = 10.

mixer [17]

Answer:

Step-by-step explanation:

6 0

3 years ago

The recycling bin in the shape of a rectangular prism is 15.5 inches long, 8 inches wide and 7 inches high. The recycling bins n

Viktor [21]

Answer:

694 cubic inches

Step-by-step explanation:

Dimension of prism

Length = 15.5 inches

width = 8 inches

height = 7 inches

Volume of regular prism is given by area of base * height

area of base = length * width ( as bin is rectangular)

area of base = 15.5 * 8 square inches = 124 square inches

Volume of regular prism = area of base * height

= 124 * 7 cubic inches = 868 cubic inches

_________________________________________________

868 cubic inches is the full capacity of the recycling bin

it is given that recycling bins need to be emptied when it is 80% full

so we need to find the 80% capacity of recycling bin

80% capacity of recycling bin = 80/100 * full capacity of the recycling bin

= 0.8 * 868 cubic inches = 694.4 cubic inches

694.4 cubic inches is the amount needed before the recycle bin is ready to empty .

But question says answer should in nearest cubic inch

hence answer is 694 cubic inches

3 0

3 years ago

Walking path across the park is represented by the equation Y equals negative 2X -7. A new path will be built perpendicular to t

Genrish500 [490]

here the equation of path is -2x-7=y

let us find slope of this line by using y=mx+b

so slope m=-2

now new path is perpendicular to this path.

product of slopes of perpendiculars is -1

so slope of new path is 1/2

now it passes through (-2,-3) with slope 1/2

using y=mx+b to get value of b

-3=1/2(-2) +b

b=-2

plugging m=-1/2 and b=-2 in y=mx + b to get the final equation as

y=(-1/2) x -2 is the equation of new path

5 0

3 years ago