MATHEMATICS HIGH SCHOOL

How are the two functions f(x) = 0.7(6)x and g(x) = 0.7(6)–x related to each other?

Answers

Answer 1
Answer:

Answer:

g(x) is the reflection of f(x) through the y-axis.

Step-by-step explanation:

Given : Functions f(x)=0.7(6)^x and g(x)=0.7(6)^(-x)

To find : How are the two functions related to each other?

Solution :

When we examine the two function,

f(x)=0.7(6)^x and g(x)=0.7(6)^(-x)

We see that x-coordinate in g(x) is negative which signifies that it will be reflected through y-axis.

Therefore, the functions are related to each other as g(x) is the reflection of f(x) through the y-axis.
Answer 2
Answer: 0.7(6)^-x  = 0.7 * 1 /6^x)
the graphs would be a reflection of each other in the y axis

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1. The perimeter of a rectangle is given by the expression below, where l is the length of the rectangle and w is the width.2(l + w)

Find the perimeter of a rectangular window frame with a length of 19 inches and a width of 3 inches.

Answers

2(l+w)
width=3
length=19
 now the easiest thing you can do is this= 19+3+19+3= 44
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Can you show your work for me on divided Omg 0.6 and 12.9

Answers

0.6 divided by 12.9.

0.6 is outside the house for the divide then inside the house is 12.6
then you move your decimal point over 1 place so its 06 divide by 126. 
after that 6 goes into 12 twice then your have a remainder of 09 then 6 goes into 9 once, our remainder is 3, then you put a 0 at the end of the decimal point of the 126. after that you bring down your zero and 6 goes into 30 five times.
Answer 21.5
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there are about 2.5 x 10^10 red blood cells in the average adult. about how many adults would it take to have a total of 1 googol red blood cells?

Answers

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Perpendicular Vectors:Find v x w if v=5i -4j +4k & w=-6i +3j -2k.
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Find v x w if v=-3i-4j-8k & w=2i+6j+4k.
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Find the cross product <-6, 7, 2> x <8, 5, -3>. Is the resulting vector perpendicular to the given vectors?
A. <-31,-2,-86>;yes
B. <-37,-2,0>; no
C. <0,-86,-37>; yes
D. <-37, 0, -80>;no

Answers

1.
v x w = 8 i - 24 j + 15 k + 10 j - 12 i - 24 k =
= - 4 i - 14 j - 9 k
Answer: D )
2.
v x w = -16 i - 16 j - 18 k + 12 j + 48 i - 8 k =
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Answer: C )
3.
The cross product:
< - 6, 7, 2 > x < 8, 5, -3 > =
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Vectors are perpendicular if: cos ( u, v ) = 0
< - 6 , 7. 2 > * < -31, - 2, - 86 > = 186 - 14 - 172 = 0
< 8, 5 , - 3 > * < - 31, - 2, - 86 > = -248 - 10 + 258 = 0
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Dr. Black is standing 13 feet from a streetlamp. The lamp is making his shadow 9 feet long. He estimates that the angle of elevation from the tip of his shadow to the top of the streetlamp is 50. To the nearest foot, the streetlamp is about _____.

Answers

Distance from tip of shadow to lamp post = 13 +9 feet = 22 ft Height of lamp post = x tan 50 = x /22 = 1.192 x = 22 * 1.192 =.26.2 ft. rounded = 26ft

Answer:

26 ft height

Step-by-step explanation:

The distance between the streetlamp and the tip of his shadow is 9 + 13 = 22 ft.

A rectangle triangle is formed in which one side is 22 ft long and the other side is the streetlamp height. The angle between the 22 ft side and the hypotenuse is 50°. From tangent definition:

tan(50°) = (streetlamp height)/(22 ft)

tan(50°) * (22 ft) = streetlamp height

26 ft  = streetlamp height
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