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2 years ago

Solve the inequality. –10d ≥ –70

Mathematics

1 answer:

r-ruslan [8.4K]2 years ago

7 0

Answer:

d≤7

Step-by-step explanation:

-10d≥-70

d≤7

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An automobile travels past the farmhouse at a speed of v = 45 km/h. How fast is the distance between the automobile and the farm

yulyashka [42]

Answer:

$\frac{ds}{dt} = 39.586 km/h$

Step-by-step explanation:

let distance between farmhouse and road is 2 km

From diagram given

p is the distance between road and past the intersection of highway

By using Pythagoras theorem

$s^2 = 2^2 +p^2$

differentiate wrt t

we get

$\frac{d}{dt} s^2 = \frac{d}{dt} (4 + p^2)$

$2s \frac{ds}{dt} =2p \frac{dp}{dt}$

$\frac{ds}{dt} = \frac{p}{s}\frac{dp}{dt}$

$\frac{ds}{dt} = \frac{p}{\sqrt{p^2 +4}} \frac{dp}{dt}$

putting p = 3.7 km

$\frac{ds}{dt} = \frac{3.7}{\sqrt{3.7^2 +4}} 45$

$\frac{ds}{dt} = 39.586 km/h$

3 0

3 years ago

How do I write 55555 in expanded form

marta [7]

Answer:

FIFTY - FIVE THOUSAND FIVE HUNDRED AND FIFTY-FIVE

Step-by-step explanation:

7 0

2 years ago

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Find the probability of rolling a prime number when a 16-sided die is rolled.

Katen [24]

Answer:

6/16

Step-by-step explanation:

On a 16 sided die there would be number as follows :

1,2,3,.. 16 The prime number out in this set of numbers are

2,3,5,7,11, and 13

There are 6 prime number so the probability of rolling a prime number is

6/16

4 0

2 years ago

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1) 5.10-2.8.16. 10-1

const2013 [10]

Answer: -2511 (if the periods mean multiplication)

Step-by-step explanation:

I’m not sure whether you’re trying to have the periods be multiplication, but if that’s what they are, this is the answer

5x10-2x8x16x10-1

50-16x160-1

50-2560-1

-2511

Again, I’m not sure if that’s what you mean but I can’t really see what else they would mean since you can’t have a 3 part decimal

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3 years ago

2 meters<br> 2 meters<br> 5 meters<br> 4 meters<br> What is the area of the shape?

Alex73 [517]

C
A million apologies if I’m incorrect

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3 years ago

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