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svlad2 [7]
3 years ago
5

Suppose x varies directly with y and inversely with z. If x=14 when y=49 and z=7, then what is x when y=18 and z=6?

Mathematics
1 answer:
ss7ja [257]3 years ago
3 0

Answer:

6

Step-by-step explanation:

x varies directly with y and inversely with z:

x = ky/z

x = 14 when y = 49 and z = 7.

14 = k (49)/(7)

k = 2

When y = 18 and z = 6:

x = 2 (18)/(6)

x = 6

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It will take 4 seconds.

Step-by-step explanation:

It takes the puppy 25 seconds and the cat 20 seconds.

20+25=45

180 divided by 45 = 4

= 4 seconds.

5 0
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A baseball diamond is in the shape of a square with bases at
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32 square units

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8 0
2 years ago
I need help with this...
lisov135 [29]

   ln 5
e              =    ?
                                    x
Keep in mind that y=e     and y = ln x are inverse functions of one another.
  ln 5
e       ,  we can drop both the "e" and the "ln 5."  We are left with 5 (answer).
                                                                                        ln 5
Alternatively, we could take the ln of both sides of y = e

which will result in ln y = (ln 5) ln e.  Note that ln e = 1 (these two functions are inverses of one another).

Then we are left with ln y = ln 5.  Dropping the "ln" operator from both sides,

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8 0
3 years ago
Please please help please ASAP
Vedmedyk [2.9K]

Answer:

VT = 50√3 , PT = 50

Step-by-step explanation:

Given

PV = 100

With reference angle 60°

hypotenuse (h) = 100

perpendicular (p) = ?

Now

Sin 60° = p/h

√3 / 2 = p / 100

p = √3 * 100 / 2

p = 50√3

Also

With reference angle 30°

hypotenuse (h) = 100

perpendicular (p) = ?

sin 30° = p/h

1/2 = p / 100

p = 100 / 2

p = 50

Hope it will help :)

8 0
3 years ago
Kenyon earns $105 for mowing 3 lawns. How much<br>would Kenyon earn for mowing 10 lawns?​
svp [43]

Answer:

$350

Step-by-step explanation:

3 lawns --------------> $105

find unit rate:

1 lawn -------------> $105 ÷ 3 = $35 per lawn

10 lawns --------> $35 per lawn x 10 lawns = $350

7 0
3 years ago
Read 2 more answers
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