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3 years ago

Simplify the following exponential expressions:

Mathematics

2 answers:

slava [35]3 years ago

8 0

30y 1# 24x^7 2# 105m^7 3#.

zhannawk [14.2K]3 years ago

5 0

Answer:

See below

Step-by-step explanation:

$1. \: 6 {y}^{3} \times 5 {y}^{6} \\ = 6 \times 5 \times {y}^{3 + 6} \\ = 30 {y}^{9} \\ \\ 2. \: 8 {x}^{5} \times 3 {x}^{2} \\ = 8 \times 3 \times {x}^{5 + 2} \\ = 24 {x}^{7} \\ \\ 3. \: 7m^4 \times 3m \times 5m^2 \\ = 105 {m}^{4 + 1 + 2} \\ = 105 {m}^{7} \\ \\ 4. \: 10d^7 \times 5d^0 \\ = 10 \times 5 \times {d}^{7 + 0} \\ = 50 {d}^{7}$

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Henry knows that the circumference of a circle is 56.52 inches. What is the area of the circle? (Use 3.14 for and round to the

ahrayia [7]

The area of circle is 254.34 square inches, if the circumference of a circle is 56.52 inches.

Step-by-step explanation:

The given is,

Circumference of a circle is 56.52 inches.

$\pi =3.14$

Step:1

Formula for circumference of circle is,

$Circumference, C = 2\pi r$ ........................(1)

Where, r - Radius of circle

From the given,

C = 56.52 inches

Equation (1) becomes,

56.52 = 2 $\pi$ (r)

56.52 = (2) (3.14) (r)

56.52 = 6.28 (r)

$r = \frac{56.52}{6.28}$

r = 9 inches

Step:2

Formula for area of circle,

$Area,A = \pi r^{2}$ ............................(2)

Where, r - Radius of circle

From the given,

r = 9 inches

Equation (2) becomes,

$A = \pi (9)^{2}$

= (3.14) (81)

= 254.34

Area of circle, A = 254.34 square inches

Result:

The area of circle is 254.34 square inches, if the circumference of a circle is 56.52 inches.

3 0

3 years ago

Find the solution set for this equation.

devlian [24]

Answer:
y= 0,-2

Hope this helps!

5 0

2 years ago

(-4k⁴+14+3k²)+(3k⁴-14k²-8) write answer in standard form

Shkiper50 [21]

Dont click the link the bot sent you they can hack you

5 0

3 years ago

Simplify by using the distributive property:

lesya692 [45]

12. 4(s+5)
4s+20

15. 2(3r-12)
6r-24

18. -3(16-3d)
9d-48

3 0

3 years ago

Using polygon STUVW what is m angle U ?

bija089 [108]

Answer:

The m∠ U is 72°.

Step-by-step explanation:

Given:

$\angle S = 90\\\angle T = 2x\\\angle U = x\\\angle V = 2x\\\angle W = 90\\$

To find :

$\angle U = x = ?$

Solution:

The sum of the measures of the interior angles of a polygon with 'n' sides is given as

$\textrm{sum of the measures of angle of a polygon with 'n' sides} = (n - 1)\times 180$

Here we have n = 5 on substituting the values we get

$\angle S +\angle T + \angle U +\angle V + \angle W = (5 -2)\times 180\\90 + 2x + x + 2x + 90 = 3\times 180\\5x + 180 = 540\\5x = 540-180\\5x = 360\\x = \frac{360}{5}\\x = 72$

Therefore,

m∠ U is 72°.

4 0

3 years ago