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3 years ago

If t varies inversely with a and t is 2 when a is 36 what is t when s is 3

Mathematics

1 answer:

MaRussiya [10]3 years ago

3 0

Answer:

t = 24

Step-by-step explanation:

Given that t varies inversely with a then the equation relating them is

t = $\frac{k}{a}$ ← k is the constant of variation

To find k use the condition t = 2 when a = 36, that is

2 = $\frac{k}{36}$ ( multiply both sides by 36 )

72 = k

t = $\frac{72}{a}$ ← equation of variation

Given a = 3, then

t = $\frac{72}{3}$ = 24

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LenKa [72]

Answer:

Step-by-step explanation:

a) 3x^2-12x-11=3*x^2-3*2*2*x+3*4-23=3*(x^2-2*2x+2^2)-23=3*(x-2)^2-23

so a= -2 ,b= -23

b) x1=[12+V(12^2-4*3* -11)]/6=12/6+V(144+132)/6=2+2/6V69=2+1/3V69=

2+V69/9=2+V23/3

c=2, d= 23/3

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2 years ago

Find the value of expression - 17x-19xpwer4 - 21x power 2,when x=3<br><br>

Marrrta [24]

Answer:

$-17x - 19x^4 - 21x^2 = -1779$ when $x = 3$

Step-by-step explanation:

Given

$-17x - 19x^4 - 21x^2$

$x = 3$

Required

Solve

Substitute 3 for x in $-17x - 19x^4 - 21x^2$

$-17x - 19x^4 - 21x^2 = -17*3 - 19*3^4 - 21*3^2$

Evaluate all exponents

$-17x - 19x^4 - 21x^2 = -17*3 - 19*81 - 21*9$

$-17x - 19x^4 - 21x^2 = -51 - 1539- 189$

$-17x - 19x^4 - 21x^2 = -1779$

7 0

3 years ago

Need help with these 2 problems on my homework.

poizon [28]

4. 55 + 0.65*55 = $90.75

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3 years ago

In ELECTRONICS, the total resistance to the flow of electricity in a circuit is called the impedance, Z. Impedance is represente

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Total impedance of circuit is Z1 + Z2

Here it is important that real numbers we sum with real numbers and complex numbers with complex numbers

Let Zs represent total impedance.

Zs = Z1 + Z2 = 3 + 4i + 5 - 2i = 3 + 5 + 4i - 2i = 8 + 2i

Answer is :

8+2i

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2 years ago

Matthew's dad hired him to paint 6 wooden patio chairs for $125. It takes him 9 hours to paint all of the chairs. If it takes th

frozen [14]

Given:

Matthew's dad hired him to paint 6 wooden patio chairs for $125.

Time taken by him to paint all of the chairs = 9 hours.

It takes the same amount of time to paint each chair.

To find:

The fraction of an hour does it take Matthew to paint one chair

Solution:

Total time = 9 hours

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Now, time taken by Matthew to paint one chair is

$\dfrac{\text{Total time}}{\text{Total number of chairs}}=\dfrac{9}{6}$

$\dfrac{\text{Total time}}{\text{Total number of chairs}}=\dfrac{3}{2}$

Therefore, Mattew takes $\dfrac{3}{2}$ of an hour to paint one chair.

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2 years ago