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2 years ago

Suppose f(x) = (5 – x)^3 and, g(x) = a + x^2, and f(g(x)) = (1 – x^2)^3. What is the value of a?

Mathematics

2 answers:

vodka [1.7K]2 years ago

7 0

Answer:

a=4

Step-by-step explanation:

that's the answer . ask me if u don't get it

Basile [38]2 years ago

6 0

I think it’s gonna be a=4

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One day, a person went to a horse racing area. Instead of counting the number of humans an horses, he conuted 74 heads and 196 l

BigorU [14]

X = the number of humans and y = the number of horses.

x+y=74
2x+4y=196

Because the number of humans and horses together is 74, and the total number of legs (2 per every human, x, and 4 per every horse, y) is 196. Then, just use elimination to solve.

$-2(x+y=74)\\2x+4y=196\\\\-2x-2y=-148\\2x+4y=196\\\\2y=48\\y=24$

So, now that you have y, you can plug it into the first equation to find x:

$x+y=74\\x+24=74\\x=50$

So, x = 50 and y = 24, so there are 50 humans and 24 horses.
The correct answer is B.

4 0

2 years ago

If you are 600 m from a batter when you see him hit a ball, how long will you wait to hear the sound of the bat hitting the ball

Molodets [167]

Answer:

The speed of sound at 20°C is 343.42 m/s.

You have to wait 1.75 seconds to hear the sound of the bat hitting the ball

Step-by-step explanation:

Speed of Sound

The speed of sound is not constant with temperature. Generally speaking, the greater the temperature, the greater the speed of sound.

The approximate speed of sound in dry air at temperatures T near 0°C is calculated from:

$\displaystyle v_{\mathrm {s} }=(331.3+0.606\cdot T )~~~\mathrm {m/s}$

The air is at T=20°C, thus the speed of sound is:

$\displaystyle v_{\mathrm {s} }=(331.3+0.606\cdot 20 )~~~\mathrm {m/s}$

$v_{\mathrm {s} }=343.42\ m/s$

The speed of sound at 20°C is 343.42 m/s.

To calculate the time to hear the sound after the batter hits the ball, we use the formula of constant speed motion:

$\displaystyle v=\frac{d}{t}$

Where d is the distance and t is the time. Solving for t:

$\displaystyle t=\frac{d}{v}$

Substituting the values v=343.42 m/s and d=600 m:

$\displaystyle t=\frac{600}{343.42}$

t = 1.75 s

You have to wait 1.75 seconds to hear the sound of the bat hitting the ball

6 0

2 years ago

DUE AT 12 SO LIKE HURRY

Alexxx [7]

Answer:

2.5

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Porter is visiting India and would like to purchase some local spices. He finds some spices that cost 401.39 rupees. If the curr

Murljashka [212]

The cost of spices in US dollars is $5.45

The cost of spices in Indian rupees = 401.39 rupees

The exchange rate is

1 dollar:73.6500 rupees

So we have to exchange the Indian rupees to the US dollars

The cost of spices in Indian rupees = 401.39 rupees

The cost of spices in US dollars = The cost of spices in Indian rupees / 73.6500

Substitute the values in the equation and fins the cost of spices in US dollars

The cost of spices in US dollars = 401.39 / 73.6500

Divide the numbers

= $5.45

Hence, the cost of spices in US dollars is $5.45

Learn more about exchange rate here

brainly.com/question/6358327

#SPJ1

6 0

8 months ago

Please help (the question is in the attached image)

Alex73 [517]

Answer:

a.the length of midsegment of an equilateral triangle with side lengths of 12.5 cm.=12.5/2=6.25cm

sinceUT is the perpendicular bisector of line segment AB, where T is on AB, find the length of AT given AT = 3x + 6 and TB = 42 - x.

than AT=BT

3x+6=42-x

3x+x=42-6

x=36/4=9

AT=3×9+6=27+6=33

since angle EFG has angle bisector FH, where EF = GF, find the value of y if EH = 5y + 10 and HG = 28 - y.

EH=GH

5y+10=28-y

6y=28-10

y=18/6=3

5 0

2 years ago