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3 years ago

H(x)=sqrt(x) and g (x)=4x^2+4, find h(g(sqrt(a))))

1 answer:

8 0

$\begin{cases} h(x)=\sqrt{x}\\ g(x)=4x^2+4 \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ g(\sqrt{a})=4(\sqrt{a})^2+4\implies g(\sqrt{a})=4\sqrt{a^2}+4\implies g(\sqrt{a})=\boxed{4a+4} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ h(~~g(\sqrt{a})~~)\implies h\left( \boxed{4a+4} \right)=\sqrt{4a+4}\implies h(~~4a+4~~)=\sqrt{4(a+1)} \\\\\\ h(~~4a+4~~)=\sqrt{2^2(a+1)}\implies h(~~4a+4~~)=2\sqrt{a+1}$

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Police response time to an emergency call is the difference between the time the call is first received by the dispatcher and th

Marizza181 [45]

Answer:

$\mu = 8.8\\\sigma = 1.9$

Now we are supposed to find probabilities that the response time is between 5 and 10 minutes i.e P(5<x<10)

Formula : $z= \frac{x-\mu}{\sigma}$

at x = 5

$z= \frac{5-8.8}{1.9}$

$z=-2$

at x = 10

$z= \frac{10-8.8}{1.9}$

$z=0.6315$

P(-2<z<0.6315)=P(z<0.6315)-P(z<-2)

Refer the z table

P(-2<z<10)=0.7357-0.0228=0.7129

So, the probability that response time is between 5 and 10 minutes is 0.7129

b)the response time is less than 5 minutes

at x = 5

$z= \frac{5-8.8}{1.9}$

$z=-2$

P(x<5)=P(z<-2)=0.0228

So, the probability that the response time is less than 5 minutes is 0.0228

c)the response time is more than 10 minutes

at x = 10

$z= \frac{10-8.8}{1.9}$

$z=0.6315$

P(x>10) = 1-P(x<10) = 1-P(z<0.63) = 1-0.7357 = 0.2643

So, The probability that the response time is more than 10 minutes is 0.2643

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3 years ago

From the top of an apartment building, the angle of depression to a car parked on the street below is 32 degree. The car is park

Citrus2011 [14]

Answer: The height of the building = 56 feet.

Step-by-step explanation:

Let AB be the height of the building and BC be the distance of the car from the building on the ground.

Now , ∠ C = 32° [Alternate interior angles ]

According to the trigonometry,

$\tan x =\dfrac{Perpenicular}{base}\\\\\Rightarrow\ \tan 32^{\circ} =\dfrac{AB}{90}\\\\\Rightarrow\ 0.6248693519=\dfrac{AB}{90}\\\\\Rightarrow\ AB = 90\times 0.6248693519=56.238241671\approx56$

Hence, the height of the building = 56 feet.

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3 years ago

Evaluate (1/3)(m) - 1 - (1/2)(n) m=21 and n=12

Aneli [31]

Answer:

the answer is 0

Step-by-step explanation:

(1/3)(21)-1-(1/2)(12)

The first thing you do is that you multiply 1/3 times 21/1 which equal 7 then you multiply 1/2 times 12/1 which that equal 6 then you solve 7-1-6 and you get 6-6 which equal 0 i hope this help you and i hope you have a goood day.

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3 years ago

What is another solution of the equation<br><br> x + y = 7?

White raven [17]

X=3, y=4
x=-2, y=9
Set x equal to anything, then isolate y to get the other number.

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3 years ago

Whats 2+2? free brainliest btw

Debora [2.8K]

Answer:

Step-by-step explanation: 4 the answer is 4

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3 years ago

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