Express 3a2b-1 with positive exponents.

The expression 60 ⋅ 1. 2 t 60⋅1.2 t 60, dot, 1, point, 2, start superscript, t, end superscript models the number of nano-relate

mamaluj [8]

Answer:

B. There were 60 nano-related patents granted in 1991

Step-by-step explanation:

In the expression:

60⋅1.2^t

t is years after 1991, that is, in the year 1993, t = 2

60 is the value of the expression at t = 0, then it represents the amount of nano-related patents granted in 1991

5 0

3 years ago

Pls help with both the equations

jeka57 [31]

Answer:

what is the question send it in the comment fast

3 0

3 years ago

Given lines p and q are parallel, m<2 - (14x - 12), m<6 - (5y + 23), and m<8 - (8x + 27), solve for the values of x and

nexus9112 [7]

Answer:

x = 7.5

y = 14

m<1 = 87°

m<7 = 93°

Step-by-step explanation:

Given:

m<2 = (14x - 12),

m<6 = (5y + 23),

m<8 = (8x + 27)

m<2 + m<8 = 180° (consecutive exterior angles are supplementary)

(14x - 12) + (8x + 27) = 180 (substitution)

Solve for x

14x - 12 + 8x + 27 = 180

Collect like terms

22x + 15 = 180

Subtract 15 from each side

22x = 180 - 15

22x = 165

Divide both sides by 22

x = 7.5

m<2 = m<6 (corresponding angles are congruent)

(14x - 12) = (5y + 23) (substitution)

Plug in the value of x

14(7.5) - 12 = 5y + 23

105 - 12 = 5y + 23

93 = 5y + 23

Subtract 23 from each side

93 - 23 = 5y

70 = 5y

Divide both sides by 5

14 = y

y = 14

✅m<1 = m<8 (alternate exterior angles are congruent)

m<1 = (8x + 27) (substitution)

Plug in the value of x

m<1 = 8(7.5) + 27 = 87°

m<7 = m<2 (alternate exterior angles are congruent)

m<7 = (14x - 12) (substitution)

Plug in the value of x

m<7 = 14(7.5) - 12 = 93°

8 0

2 years ago

Volume of sphere Marcus is using small stone spheres

satela [25.4K]

<h2>Volume of Sphere</h2>

1. What is the radius of the stone sphere?

- To know what is the radius divide is by 2.

$\large \tt 6 \div 2 = 3$

Therefore, the radius of the stone sphere is 3in

2. What is the volume of the stone sphere?

- Using the formula in finding the Volume of Sphere $\tt V = \frac{4}{3}\pi r^3$ to get the answer. Where the volume of the sphere is $\tt\frac{4}{3}\:\:\:\:\pi$ multiplied by the cube of the radius.

$\tt V = \frac{4}{3}\pi r^3$
$\tt V = \frac{4}{3}\times 3.14\times 3in^3$
$\tt V = \frac{4}{3}\times 3.14\times 27in$
$\tt V = \frac{4}{3}\times 84.78in$
$\tt V = \frac{339.12in}{3}$
$\tt V = 113.04in^3$

Therefore, the volume of the stone sphere is 113.04in³

3. Another stone sphere for the garden has a diameter of 10 inches. What is the volume of the stone sphere? Use 3.14 for <em>π</em>, and round to the nearest hundredth.

- Using the formula in finding the Volume of Sphere $\tt V = \frac{4}{3}\pi r^3$ to get the answer. Where the volume of the sphere is $\tt\frac{4}{3}\:\:\:\:\pi$ multiplied by the cube of the radius.