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tresset_1 [31]
3 years ago
12

Write in base two the following numbers: one, two, four, eight, and sixteen.

Mathematics
1 answer:
Vikki [24]3 years ago
3 0

Answer:

1 is 1 in base 2

2 is 10

4 is 100

8 is 1,000

16 is 10,000

Step-by-step explanation:

Here, we want to write the numbers in base 2;

We simply divide each by 2 and note the remainders;

For 1 ; in base two , the answer is 1

for 2 in base two, the answer is 10

For 4 in base two, the answer is; 100

For 8, the answer is 1000

For 16 , the answer is 10,000

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Drew wants to buy exercise equipment that costs $140 and the sales tax is 5.57% what is the total cost of the equipment
Eddi Din [679]

Answer:

$147.80

Step-by-step explanation:

140 x .0557 = 7.80 Tax

Add tax to price

140 + 7.80 = $147.80

8 0
2 years ago
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Help solve this plsss fast!!!
exis [7]

Answer:

2x + x + 5 = 6x - 3x + 5

3x + 5 = 3x + 5

Here Both the side of equation are same ..

So, it have infinite solution....

8 0
2 years ago
There are 6 yellow hexagons 2 red trapezoids and 9 green triangles how many flowers could you make if they were changed 30 yello
Zinaida [17]

Answer:

<h3>a) 5 flowers</h3><h3>b) Trapezoid</h3>

Step-by-step explanation:

For one flower, the following shapes are used;

6 yellow hexagons, 2 red trapezoids and 9 green triangles

If we are given 30 yellow hexagons 50 red trapezoids and 60 green triangles, to get the number of flowers we can make, we will find the greatest common factor of 30, 50 and 60

30 = 6*5

50 = (2*5)+40

60 = (9*5)+15

We can see that 5 is common to all the factors. This means that we can make 5 flowers if they were changed to 30 yellow hexagons 50 red trapezoids and 60 green triangles.

Since there are 40 trapezoids left and 15 green triangles left, hence the shape that would have n as left over most is trapezoid (40 left over)

7 0
3 years ago
John is looking at the eagle on top of a building The height of the building is 120 ft Approximately how many feet is Jack away
bearhunter [10]

Answer:

The answer is below

Step-by-step explanation:

The question is not complete. A similar question is attached and is solved.

Solution:

A triangle is a polygon with three sides and three angles. Types of triangles are scalene, acute, obtuse, isosceles, equilateral and right angled triangle.

A right angled triangle is a triangle with one angle equal to 90 degrees. The longest side of a right angled triangle is known as the hypotenuse. Trigonometric identities is used to show the relationship between the angles and sides of a right angled triangle, i.e.:

sinθ = opposite/hypotenuse; cosθ = adjacent / hypotenuse; tanθ = opposite / adjacent

From the image:

let the distance from jack to the base of the building be x, hence:

tan60 = x / 60

x = 60 * tan60 = 104 ft.

8 0
2 years ago
Monthly sales of an SUV model are expected to increase at the rate of S′1t2 = -24t 1&gt;3 SUVs per month, where t is time in mon
uysha [10]

The company will continue to manufacture this model for 19 months.

The question is ill-formatted. The understandable format is given below.

An SUV model's monthly sales are anticipated to rise at a rate of

S'(t)=-24^{1/3} SUVs each month, where "t" denotes the number of months and "S(t)" denotes the monthly sales of SUVs. When monthly sales of 300 SUVs are reached, the business intends to discontinue producing this model.

Find S if monthly sales of SUVs are 1,200 at time t=0 (t). How long will the business keep making this model?

Given S'(t)=-24^{1/3} ... ... (1)

Condition (1) at t=0; s(t) =1200

We find S(t)=300 then t=?

a) We find S(t)

from S'(t)=-24^{1/3}

\implies \frac{dS(t)}{dt}=-24t^{1/3} ~~[\because X'(t)=\frac{dX}{dt} \\\implies dS(t) = -24t^{1/3}dt\\

On Integrating both sides

S(t)=-18t^{4/3}+c ~...~...~(2)

Now, at t=0 then S(t)=1200

So, from (2)

1200=0+c

⇒c=1200

\thereforefrom eq (2)

S(t)=-18t^{4/3}+1200 ~...~...~(3)

b) Considering that the firm intends to cease production of this model once monthly sales exceed 300 SUVs.

So, take S(t)=300

from eq (2) 300=-18t^{4/3}+1200

t^{4/3}=\frac{1200-300}{18}\\=\frac{900}{18}=50\\\implies t=50^{3/4}\\\implies t=18.8030

Hence the company will continue 18.8020 months.

Learn more about integration here-

brainly.com/question/18125359

#SPJ10

8 0
1 year ago
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