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3 years ago

Samuel is x year old and

Mathematics

1 answer:

pogonyaev3 years ago

8 0

Answer:

Samuel : x

wife : y

sum of their age : 2+ x : 10

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18. Let z = a + bi represent a general complex number. As noted in the lesson, the conjugate of z, abbreviated conj(z) or conj(a

AnnyKZ [126]

Question (18):

Answer: (A) All of the following

(I am using $z^*$ in place of conj(z)

$z*z^*=(a+ib)(a-ib)=a^2-(ib)^2= a^2+b^2=\mbox{modulus(z)}^2$

$z+z^*=a+ib+a-ib=2a\\z-z^*=a+ib-a+ib=2bi$

Question (19):

Answer: (B) -7

modulus of -7 is sqrt(49)=7

the other choices are all < 7

5 0

3 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

3 years ago

Please help me I will give thanks and points!

makkiz [27]

1.31, 1.4, and 1.44.

Hope I helped☺☺

6 0

3 years ago

A baseball player throws a baseball from a height of 1 m above the ground and its height is given by the equation h= -3.2^2+ 12.

Bingel [31]

Answer:

4.1 sec

Step-by-step explanation:

h(t)=-3.2t^2+12.8t+1

h(t)=-3.2(t^2-4t)+1

h(t)=-3.2(t^2-4t+4-4)+1

h(t)=13.8-3.2(t-2)^2

For the ball to touch ground, h(t)=0.

13.8-3.2(t-2)^2=0

(t-2)=2.0766

t=4.07≈4.1 sec.

5 0

3 years ago

Your quiz must include at least one word problem the requires multiplication or division of decimal by a power for ten. Example:

butalik [34]

Answer:

Total cost= $235

Step-by-step explanation:

Giving the following information:

Dontae wants to buy 100 tiles for his kitchen floor. The tiles cost $2.35.

To calculate the total cost, we need to use the following formula:

Total cost= 2.35*x

x= number of tiles

For 100 tiles:

Total cost= 2.35*100

Total cost= $235

5 0

3 years ago