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2 years ago

Estimate the value of the following to the tenths decimal place.

Mathematics

2 answers:

Licemer1 [7]2 years ago

8 0

Answer:

-12.2

Step-by-step explanation:

hflxjnfls hmm go k oh k

Alex73 [517]2 years ago

5 0

10 is the answer, because you got to answer it like the image but to the nearest tenth, which is 10

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The initial population of a town is 2600, and it grows with a doubling time of 10 years. Determine how long it will take for the

choli [55]

Answer:

It will take the 20 years for the population to quadruple.

Step-by-step explanation:

Exponential population growth:

An exponential model for population growth has the following model:

$P(t) = P(0)(1+r)^t$

In which P(0) is the initial population and r is the growth rate, as a decimal.

It grows with a doubling time of 10 years.

This means that $P(10) = 2P(0)$ . We use this to find r. So

$P(t) = P(0)(1+r)^t$

$2P(0) = P(0)(1+r)^10$

$(1+r)^10 = 2$

$\sqrt[10]{(1+r)^10} = \sqrt[10]{2}$

$1+r = 2^{\frac{1}{10}}$

$1 + r = 1.0718$

$P(t) = P(0)(1+r)^t$

$P(t) = P(0)(1.0718)^t$

Determine how long it will take for the population to quadruple.

This is t for which P(t) = 4P(0). So

$P(t) = P(0)(1.0718)^t$

$4P(0) = P(0)(1.0718)^t$

$(1.0718)^t = 4$

$\log{(1.0718)^t} = \log{4}$

$t\log{1.0718} = \log{4}$

$t = \frac{\log{4}}{\log{1.0718}}$

$t = 20$

It will take the 20 years for the population to quadruple.

5 0

2 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

kozerog [31]

Answer:

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)

B.

Using s = 32t, we have:

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

Note: Same answer to question 14436233, answered by me today.

4 0

3 years ago

Look at the box-and-whisker plot.

Marizza181 [45]

i would say B

when it says "the measure", it's refering to where the second quartile is beginning

3 0

3 years ago

2c + 4d C=8 D=-5 Please help

Dahasolnce [82]

Answer:

2c+4d

if c=8 and D=5,

2(8)+4(5)

16+20

=36

Step-by-step explanation:

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2 years ago

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Save You More offers a buy one/get one free item each week. Customers who purchase only one of the items must pay the regular pr

GuDViN [60]

Answer:

Step-by-step explanation:

Since a function would mean that a customer is able to purchase 1.1 of an item or 1.5 of an item, which is false. It also means that the customers pay the same price for a different amount of items.

4 0

3 years ago

Read 2 more answers