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2 years ago

Simplify the algebraic expression. 2v−8(3+2v)

Mathematics

2 answers:

KIM [24]2 years ago

7 0

EXpand

2v-24-16v=

-Hunter

ra1l [238]2 years ago

3 0

Answer: -14v-24

Step-by-step explanation:

2v-8(3+2v)

2v-(24+16v)

2v-24-16v

-14v-24

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r>=41

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3 years ago

A rock is dropped off a 500-foot cliff. After 1 second the rock is traveling 32 feet per second then after 4 seconds the rock st

professor190 [17]

Answer:

Part A:

The equation describing the relationship between speed and time is:

s = 32t

Ordered pairs of the form (speed, time) are:

(32, 1)

(64, 2)

(96, 3)

(128, 4)

Part B:

s = 32t

s = 32 * 5 = 160 feet per second

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Height of the cliff = 500 feet

Speed after one second = 32 feet per second

Speed after four seconds = 128 feet per second

2. Assume the relationship between time, t, and speed, s, is linear and write an equation describing the relationship. Use ordered pairs of the form (speed, time)

The equation describing the relationship between speed and time is:

s = 32t

Ordered pairs of the form (speed, time) are:

(32, 1)

(64, 2)

(96, 3)

(128, 4)

3. Use the equation to determine the speed of the rock 5 seconds after is dropped.

s = 32t

s = 32 * 5 = 160 feet per second

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3 years ago

(b) The globe has a radius of 28.5 cm. Find the surface area of the globe. Round your answer to two decimal places. Use:

damaskus [11]

Answer:

$\boxed {\boxed {\sf 10,207.03 \ cm^2}}$

Step-by-step explanation:

Surface area is the total area of the surface of an object. A globe is a sphere and the formula for calculating a sphere's surface area is:

$SA= 4 \pi r^2$

The radius (r) of the globe is 28.5 centimeters. Substitute this value into the formula.

r= 28.5 cm

$SA= 4 \pi ( 28.5 \ cm)^2$

Solve the exponent. Multiply the number by itself.

(28.5 cm)²= 28.5 cm * 28.5 cm = 812.25 cm²

$SA= 4 \pi (812.25 \ cm^2)$

Multiply 4, pi and 812.25 centimeters together.

$SA= 12.56637061 (812.25 \ cm^2)$

$SA= 10207.03453 \ cm^2$

Round to two decimal place or the hundredth place. The 4 in the thousandth place to the right (10207.03453) tells us to leave the 3 in the hundredth place (10207.03453).

$SA \approx 10207.03 \ cm^2$

The surface area of the globe is approximately 10,207.03 centimeters squared.

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3 years ago

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