MATHEMATICS HIGH SCHOOL

Using the graph of f(x) = log10x below, approximate the value of y in the equation 10y = 6

Answers

Answer 1
Answer:

The given function is

f(x)= log 10 x

Taking base as 10

y=\log_(10)10 +\log_(10)x→→Using the property of, log a b= log a + log b

→y = 1 + \log_(10)x as, \log_(10)10=1

we have to approximate the value of y in the equation

→10 y = 6

→y=(6)/(10)

(6)/(10)= 1 + \log_(10)x  

\log_(10)x =  (-4)/(10)

x= (10)^{(-4)/(10)}=(10)^(-0.4)=0.398

Solving graphically,

we get , x= 0.398 for , y= (6)/(10)=.6
Answer 2
Answer: f(x) = ㏒(10x)
f(x) = ㏒₁₀(10x)

10y = 6
 10    10
    y = 0.6

f(x) = ㏒₁₀(10x)
0.6 = ㏒₁₀(10x)
10^(0.6) = 10x
10^{(3)/(5)} = 10x
\sqrt[5]{10^(3)} = 10x
\sqrt[5]{1000} = 10x
\frac{\sqrt[5]{1000}}{10} = x
(3.98)/(10) \approx x
0.398 \approx x

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On a line segment B is between AC and C is between B and D using the segment addition postulate if AB=7 AC=15 AD=32 what does BC BD and CD equal

Answers

Answer:

BC = 8

BD = 24

CD = 17

Step-by-step explanation:

First i found that I know AB is 7 and AC is 15 so i realize AB is part of AC so I subtract AB from AC for the difference and got the rest using the same logic

If you dont mind a thx 5 star and brainliest is greatly appreciated trying to hit next level and need 5 more brainliest
AB+AC=BC
7+15=BC
BC=22

AB+AD=BD
7+32=BD
BD=39

AC+AD=CD
15+32=CD
CD=47

Elise built a rectangular vegetable garden that is 9 feet long and has an area of 72 square feet. What is the perimeter of Elise’s vegetable garden?

Answers

Well if you know how long it is, you would divide 72 by 9 giving you 8. So the perimeter wold be calculated by 9+9+8+8=34 feet
Perimeter of a rectangle=2(long)+2(width)

1)we calculate the width.
area=long x width

data:
area =72 ft².
long=9 ft

72 ft²=9 ft * width
width=72 ft²/9 ft=8 ft.

2) we calculate the perimeter.
perimeter=2(9 ft)+2(8 ft)=18 ft + 16 ft=34 ft.

Answer: the perimeter of Elise`s vegetable garden is 34 ft.

What is 25 squared divided by five to the fourth power equal to

Answers

25 squared is 5
5 to the 4 is 625
5/625 is 1/125
OR
1/ 5^3

A businessman has 10 employees. His salary is equal to 6 times the average of employees salaries. If the 11 of them receive a total of $64,000 in one year, what was the business mans salary that year ??  a) $4000, b) $6000, c) $24,000, d) $ 40,000, e) $44,000

Answers

business man's salary = x
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Answer: (c) $24,000

What is the probability that a five-card poker hand contains the two of diamonds and the three of spades?(Note: Enter the value in decimal format and report it to four decimal places.)

Answers

The total probability is 52 choose 5, which is 2598960
Then we multiply the combinations of two diamonds and 3 spades, which is 13 choose 2 times 13 choose 3. That is 22308.
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The baseball team is ordering hats for the upcoming season. The hat companycharges a certain amount per hat plus an initial fee of $55. There are 14 players on the
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Answers

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