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2 years ago

What number 0.4 can be written as 4/10 so it is a rational number

Mathematics

1 answer:

Masteriza [31]2 years ago

5 0

yes it is rational cuz it does not continue for ever randomly

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New York City is located about 40˚ north of the equator. If Earth's radius is about 4000 miles, approximately how many miles sou

qwelly [4]

Answer:

The answer is "2793 miles"

Step-by-step explanation:

In this firstly we convert degrees to radians, which can be defined as follows:

$\to \theta =\frac{40^{\circ} \times \pi }{180^{\circ}}$

$=\frac{ 2\pi }{9}$

Now calculating the distance:

$=\frac{2\pi }{9} \times 4000\\\\= \frac{8000 \pi }{9}$

$=\frac{8000\times 3.14 }{9}\\\\ = \frac{25120}{9}\\\\=2793 \ miles$

4 0

2 years ago

Make a comparison true. Drag and drop tenth value to fill in the blank. Select all that apply. 24. _ > 24. 34

spayn [35]

Answer:

Step-by-step explanation:

These items may be used by Louisiana educators for educational purposes. Grade 7 Answer Key. ITEM 14. Use the table to answer the question.

3 0

2 years ago

-2x - 5y = 13 2x - 5y =17

Flura [38]

{-2x-5y=13

{2x-5y=17 (+)

-2x+2x-5y-5y=13+17

-10y=30 /:(-10)

y=-3

2x-5y=17

2x-5*(-3)=17

2x+15=17

2x=2

x=1

Solution: (1; -3)

6 0

3 years ago

Suppose a set of data about the spread (in hundreds of acres) of a food-borne bacteria (after t weeks) in lettuce has the follow

Alexxandr [17]

Answer:

A sinusoidal model would be used

The kind of function that have consistency in the periodic rate of change is the Average rate of changes

Step-by-step explanation:

The type of model that would be used is sinusoidal model and this is because there is periodic change in the values given ( i.e the rate of changes given )

For percentage rate of changes :

starting from 0.9% there is an increase to 1.3% then a decrease to 1.1% and a further decrease to 1% before an increase to 1.3% and another decrease to 1%

For Average rate of changes:

starting from 2.9 there is a decrease to 2.4, then an increase to 3.7 and another decrease to 3.1 followed by an increase to 3.6 and a decrease back to 3.2

This relation ( sinusoidal model ) is best suited for a linear model because there is a periodic rate of change in the functions

The kind of function that have consistency in the period rate of change is the Average rate of changes

6 0

3 years ago

Evan wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn, so he needs no fence

pentagon [3]

Answer: A. A=(1000-2w)*w B. 250 feet

C. 125 000 square feet

Step-by-step explanation:

The area of rectangular is A=l*w (1)

From another hand the length of the fence is 2*w+l=1000 (2)

L is not multiplied by 2, because the opposite side of the l is the barn,- we don't need in fence on that side.

Express l from (2):

l=1000-2w

Substitude l in (1) by 1000-2w

A=(1000-2w)*w (3) ( Part A. is done !)

Part B.

To find the width w (Wmax) that corresponds to max of area A we have to dind the roots of equation (1000-2w)w=0 ( we get it from (3))

w1=0 1000-2*w2=0

w2=500

Wmax= (w1+w2)/2=(0+500)/2=250 feet

The width that maximize area A is Wmax=250 feet

Part C. Using (3) and the value of Wmax=250 we can write the following:

A(Wmax)=250*(1000-2*250)=250*500=125 000 square feets

3 0

2 years ago