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ipn [44]
3 years ago
7

Is y varies directly as x, and y is 18 when x is 5 witch expression can be used to find the value of y when x is 11?

Mathematics
1 answer:
Svet_ta [14]3 years ago
3 0
As the variation is direct we have:
 y = k * x

 Where,
 k: proportionality constant
 We must find the value of k.
 For this we use the following data:
 y is 18 when x is 5.
 Substituting values we have:
 18 = k * 5

 From here, let's clear k:
 k = 18/5

k = 3.6

 Then, replacing values we have:
 y = 3.6 * x

 For x = 11 we have:
 y = 3.6 * 11

y = 39.6
 Answer:
 
An expression that can be used to find the value of y when x is 11 is:
 
y = 3.6 * x

 When x = 11 we have:
 
y = 39.6
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In the month of June, the temperature in Johannesburg, South Africa, varies over the day in a periodic way that can be modeled a
Art [367]

Answer:

The answer is "\bold{T = - 7.5 \cos \frac{\pi}{12}( t - 4 )+ 10.5}"

Step-by-step explanation:

Given value:

Temp-maximum=18^{\circ}  

Temp. minimum = 3^{\circ}

It is halfway between 10 am and 10 pm to 4 am.  

The sinus and cosine roles could be used throughout the year to predict fluctuations in climate models. Its type of formula that can be used to model such information is:  

T = A \cos B(t-C) + D, where parameters are A, B , C, D, T is the ° C temperature and t is the time (1-24)

A = amplitude = \frac{(T_{max} - T_{min})}{2}\\\\

                       = \frac{(3 - 18)}{2}\\\\= - \frac{15}{2}\\\\ = -7.5

B = \frac{2 \pi}{24}\\\\

   = \frac{\pi}{12}

C = \text{ units translated to the right}= 4

D = y_{min} + amplitude = units \ translated \ up\\\\

D = 7.5 + 3 = 10.5

Its trigonometric function equation that model temperature T hours after midnight in Johannesburg t.

T = - 7.5 \cos \frac{\pi}{12}( t - 4 )+ 10.5

6 0
3 years ago
16 increased by twice a number is -24 what is the solution?
Lynna [10]

Let x = the number.

"increased by" tells you we are adding.

"twice a number" tells you 2 times a number.

16 + 2x = - 24

Subtract 16 from both sides so that we have the variable on one sides and the constants on the other.

2x = - 24 - 16

2x = - 40

Divide by 2 to isolate the variable.

x = - 40/2 = - 20

Your solution is - 20.

To check your answer, plug in.

16 + 2(-20) = - 24

16 - 40 = - 24

- 24 = - 24

3 0
3 years ago
Wondering if anyone could help?
aleksklad [387]

Answer:

error

Step-by-step explanation:

4 0
2 years ago
Find a measure of the ark
lakkis [162]
Just add that’s by 6 then times it by 5 the add 3 to it
8 0
2 years ago
Read 2 more answers
372 picoseconds equal to how many femoseconds
Vlad1618 [11]

Answer:

372,000 femtoseconds

Step-by-step explanation:

<u>1 picoseconds = 1000 femtoseconds</u>

372 picoseconds = 1000 * 372 femtoseconds

1000 * 372

372,000

Answer:  372,000 femtoseconds

5 0
2 years ago
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