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3 years ago

14

For a recipe, Henry uses 3 cups of white sugar for each cup of brown sugar. How many cups of brown sugar does Henry use when he

uses 1 cup of white sugar?

1 answer:

Andrej [43]3 years ago

8 0

Answer:

1/3

Step-by-step explanation:

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When records were first kept (t=0), the population of a rural town was 260 people. During the following years, the population gr

Firdavs [7]

Answer:

(a) The population after 15 years is 2678.

(b)Therefore the population P(t) at any time t>0 is

$P(t)= 45t+30 {t^{\frac32}}+260$

Step-by-step explanation:

Given that,

The population grew at a rate of

$P'(t)=45(1+\sqrt t)$

Integrating both sides

$\int P'(t) dt=\int 45(1+\sqrt t)dt$

$\Rightarrow \int P'(t) dt=\int (45+45\sqrt t)dt$

$\Rightarrow \int P'(t) dt=\int 45\ dt+\int 45\sqrt t\ dt$

$\Rightarrow P(t)= 45t+45\ \frac{t^{\frac12+1}}{\frac12+1}+c$ [ c is integration constant]

$\Rightarrow P(t)= 45t+45\ \frac{t^{\frac32}}{\frac32}+c$

$\Rightarrow P(t)= 45t+45\times\frac 23 \times {t^{\frac32}}+c$

$\Rightarrow P(t)= 45t+30 {t^{\frac32}}+c$

When t=0 , P(0)= 260

$\therefore 260= 45\times0+30\times {0^{\frac32}}+c$

$\Rightarrow c=260$

$\therefore P(t)= 45t+30 {t^{\frac32}}+260$

Therefore the population P(t) at any time t>0 is

$P(t)= 45t+30 {t^{\frac32}}+260$

To find the population after 15 years, we need to plug t=15 in the above expression.

$P(15)=( 45\times 15)+30( {15^{\frac32}})+260$

≈2678

The population after 15 years is 2678.

5 0

3 years ago

Another name for reciprocal is multiplicative inverse. What are some words in every day lauguage that are similar to reciprocal

Novosadov [1.4K]

Opposite or flipped

6 0

4 years ago

What is the amplitude of y=1/2 sin2x

Colt1911 [192]

$(-\frac{1}{2},\frac{1}{2})$
Amplitutde:
$(\frac{1}{2}-(-\frac{1}{2}))=1$
Normally for sinx amplitude is 2 (1 +1). In the case when it is half sine amplitude is halved, therefore 0.5 +0.5 = 1 Paramers alpha = 2x does not matter because it only stretches the graph horizontally.

8 0

3 years ago

Read 2 more answers

5u-2u=..................................................

MAVERICK [17]

It will be 3u good luck

8 0

3 years ago

The distance between two cities on a map is 3.25 centimeters. The map used a scale in which 1 centimeter represents 20 kilometer

____ [38]

Answer:

<h2> 65km</h2>

Step-by-step explanation:

Step one:

given

we are told that the distance is 3.25cm on the map

the scale is 1cm to represent 20km

Required

the actual distance

Step two

if 1cm represent 20km

then 3.25cm will represent x km

cross multiply we have

x=2.35*20

x= 65km

Hence, the actual distance between these two cities in kilometers 65km

6 0

3 years ago