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3 years ago

Which mathematical property is shown by the statement? (4y9)7 = 4y * (9*7)

Mathematics

2 answers:

Zielflug [23.3K]3 years ago

8 0

The communative property is being shown

skad [1K]3 years ago

3 0

The associative property is demonstrated by the equation.

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The growth of a city is described by the population functionwhereis the initial population of the city, t is the time in years,

mamaluj [8]

Complete question:

The growth of a city is described by the population function p(t) = P0e^kt where P0 is the initial population of the city, t is the time in years, and k is a constant. If the population of the city atis 19,000 and the population of the city atis 23,000, which is the nearest approximation to the population of the city at

Answer:

27,800

Step-by-step explanation:

We need to obtain the initial population(P0) and constant value (k)

Population function : p(t) = P0e^kt

At t = 0, population = 19,000

19,000 = P0e^(k*0)

19,000 = P0 * e^0

19000 = P0 * 1

19000 = P0

Hence, initial population = 19,000

At t = 3; population = 23,000

23,000 = 19000e^(k*3)

23000 = 19000 * e^3k

e^3k = 23000/ 19000

e^3k = 1.2105263

Take the ln

3k = ln(1.2105263)

k = 0.1910552 / 3

k = 0.0636850

At t = 6

p(t) = P0e^kt

p(6) = 19000 * e^(0.0636850 * 6)

P(6) = 19000 * e^0.3821104

P(6) = 19000 * 1.4653739

P(6) = 27842.104

27,800 ( nearest whole number)

3 0

3 years ago

On a coordinate plane, an absolute value graph starts at (0, 0) and goes up and to the left through (negative 4, 2). The functio

natka813 [3]

Answer:

The function f(x)= –StartRoot negative x EndRoot is shown on the graph.

On a coordinate plane, an absolute value graph starts at (0, 0) and goes down and to the left through (negative 4, negative 2).

Step-by-step explanation:

The range of the graph is all real numbers greater than or equal to 0.

9 0

3 years ago

Read 2 more answers

Mr. Mole left his burrow and started digging his way down at a constant rate.

Art [367]

Mr. Mole's burrow was at an altitude of 6 meters below the ground.

Step-by-step explanation:

Step 1:

We need to determine the distance that Mr. Mole covers in a single minute.

To do that we divide the difference in values of altitude by the difference in the time periods.

For the first case, Mr. Mole had traveled -18 meters in 5 minutes.

We also have, he traveled -25.2 meters in 8 minutes.

Step 2:

The distance he covered in 1 minute $= \frac{-25.2-(-18)}{8-5} = \frac{-25.2+18}{3},$

$\frac{-25.2+18}{3} = \frac{-7.2}{3} = -2.4.$

So with every minute, Mr. Mole digs down an additional 2.4 meters below the surface.

To determine where Mr. Mole's burrow is we subtract the distance traveled in 5 minutes from -18.

The altitude of Mr. Mole's burrow $= -18 - 5(-2.4) = -18+12 = -6.$

So Mr. Mole's burrow was at an altitude of 6 meters below the ground i.e. -6 meters.

5 0

3 years ago

Read 2 more answers

Need help pleaseee i have a test on friday

larisa [96]

Answer:

x = 8

Step-by-step explanation:

Using the sine or cosine ratio in the right triangle and the exact value

sin30° = $\frac{1}{2}$ , then

sin30° = $\frac{opposite}{hypotenuse}$ = $\frac{4}{x}$ = $\frac{1}{2}$ ( cross- multiply )

x = 8

5 0

3 years ago

GIVING BRAINLIEST!! someone please help me with this

Vika [28.1K]

Answer:

Quesnel Lake:Lake Baikal=.31

Quesnel Lake:Great Slave Lake=.82

Step-by-step explanation:

1 foot = .3048 meters

Lake Baikal: 5369 ft. = 1636.4712 m

Great Slave Lake: 2015 ft. = 614.172 m

Quesnel Lake: 506 m

Quesnel Lake:Lake Baikal

$506 \div 1636.472 = .31$

Quesnel Lake:Great Slave Lake

$506 \div 614.172 = .82$

8 0

3 years ago

Which mathematical property is shown by the statement? (4y*9)*7 = 4y * (9*7)

Which mathematical property is shown by the statement? (4y9)7 = 4y * (9*7)