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3 years ago

What is Q35 please x

Mathematics

1 answer:

andrew-mc [135]3 years ago

7 0

Answer:.

A total of 5 expressions can be simplified to 4n + 8.

Step-by-step explanation:

1. 2n + 2(n + 4)

= 2n + 2n + 2.4

= 4n + 8

2. $\textbf{4(n + 1)} + \frac{ \textbf{4n}}{\textbf{n}}$

= 4n + 4 + 4

= 4n + 8

3. 2³ + n³ + n

Since. 2³ = 8 we have:

8 + n³ + n

≠ 4n + 8

4. 5(n - 1) - (n - 13)

= 5n - 5 - n + 13

= 4n + 8

5. 4n + 8

= 4n + 8

6. $\frac{\textbf{10(4 + 2n)}}{\textbf{5}}$

= 10.2(2 + n)/5

= 2.2(2 + n)

= 4(2 + n)

= 8 + 4n

= 4n + 8

7. (2n + 1)² - 4n²

= 4n² + 2.2n . 1 + 1² - 4n²

= 4n² + 4n + 1 - 4n²

= 4n + 1

Hence, the answer.

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The volume of a 10 ounce box of cheerios is 258.75in3. the length of the box is 4 inches less than the height and the width is 3

Marina86 [1]

Answer:

Height of the box = 11.5 in

Step-by-step explanation:

Let h be the height of the box.

Assuming the volume of the Box is $258.75\ in^3$ .

Given:

Length = Height - 4 = h - 4

Width = 3 in

We need to find the height of the box.

Solution:

We know that the volume of the box.

$Volume = Length\times height\times width$

Substitute all given value in above formula.

$258.75 = (h-4)\times h\times 3$

Rewrite the equation as:

$258.75 = 3h(h-4)$

$258.75 = 3h^2-12h$

$3h^2-12h-258.75=0$

whole equation divided by 3.

$h^2-4h-86.25=0$

Use quadratic formula with $a = 1, b = -4,c=-86.25$

$h=\frac{-b\pm \sqrt{(b)^{2}-4ac}}{2a}$

Put these a, b and c value in above equation.

$h=\frac{-(-4)\pm \sqrt{(-4)^{2}-4(1)(-86.25)}}{2(1)}$

$h=\frac{4\pm \sqrt{16+345}}{2}$

$h=\frac{4\pm \sqrt{361}}{2}$

$h=\frac{4\pm 19}{2}$

For positive sign

$h=\frac{23}{2}$

h = 11.5 in

For negative sign

$h=\frac{-15}{2}$

h = -7.5

We take positive value of h.

Therefore, the height of the box h = 11.5 in

4 0

3 years ago

A certain radioactive isotope has leaked into a small stream. Three hundred days after the leak, 3% of the original amount of t

sesenic [268]

If the half-life is t, then every t days, the amount of the radioactive isotope will be cut in half.
(1/2)^(number of half-lives) = 3%
number of half-lives = ln(0.03) / ln(0.5)
This gives the number of half-lives as 5.06.
Then 300 days = (5.06)(length of 1 half-life)
length of 1 half-life = 300 / 5.06 = 59.29 days

6 0

3 years ago

Find an explicit formula for the arithmetic sequence 12, 5, -2, -9,... a(n)=

masha68 [24]

a is the beggining number and n is the amount of times needed to do this. if is 17 you would need to subtract 7 from the originol number 12 (a) that many times.

3 0

3 years ago

AABC has vertices at A(12, 8), B(4,8), and C(4, 14).

borishaifa [10]

Answer:

Triangle ABC and triangle MNO are congruent. A Rotation is a single rigid transformation that maps the two congruent triangles.

Step-by-step explanation:

ΔABC has vertices at A(12, 8), B(4,8), and C(4, 14).

length of AB = √[(12-4)² + (8-8)²] = 8

length of AC = √[(12-4)² + (8-14)²] = 10

length of CB = √[(4-4)² + (8-14)²] = 6

ΔMNO has vertices at M(4, 16), N(4,8), and O(-2,8).

length of MN = √[(4-4)² + (16-8)²] = 8

length of MO = √[(4+2)² + (16-8)²] = 10

length of NO = √[(4+2)² + (8-8)²] = 6

Therefore:

AB ≅ MN

AC ≅ MO

CB ≅ NO

and ΔABC ≅ ΔMNO by SSS postulate.

In the picture attached, both triangles are shown. It can be seen that counterclockwise rotation of ΔABC around vertex B would map ΔABC into the ΔMNO.

3 0

3 years ago

Need help, please explain the answer

stellarik [79]

Answer:

7 - x meters

Step-by-step explanation:

This is a difference of squares. The formula for difference of squares is

a^2-b^2 = (a-b)(a+b)

So plug the numbers we know into this formula.

Area = lw

49 - x^2 = (a-b)(7+x)

49 - x^2 = (7-x)(7+x)

The length is 7 - x meters.

7 0

3 years ago