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blagie [28]
3 years ago
15

If f(x) = 2^x and g(x) = 10x + 1, for which of the following values of x will g(x) be greater than f(x)? Select all correct answ

ers.
A. x = -1

B. x = 0

C. x = 1

D. x = 4

E. x =10
Mathematics
1 answer:
VMariaS [17]3 years ago
4 0

Answer:

X=4

Step-by-step explanation:

.....................................

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Simplest form of 39/27
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Both the top and bottom are divisible by three, and 13/9ths cannot be simplified anymore

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Harry took out a loan from the bank. The variable D models Harry's remaining debt (in dollars) t months after he took out the lo
tensa zangetsu [6.8K]

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700

Step-by-step explanation:

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How many permutations can be formed from all the letters in the word engineering?
laila [671]

Answer:

277,200

Step-by-step explanation:

To find the number of permutation we can form from the letters of the word "engineering", we first need to find the frequencies of the different letters present.

E = 3

G = 2

N= 3

I = 2

R = 1

Now that we have the frequencies, we count the number of letters in the word "engineering".

E N G I N E E R I N G

11 letters

Now we take the factorial of total number of letters and divide it by the number of repeats and their factorial

So we get:

\dfrac{11!}{3!2!3!2!1!}

We remove the 1! because it will just yield 1.

\dfrac{11!}{3!2!3!2!}

So the total number of permutations from the letters of the word "engineering" will be:

Total number of permutations = \dfrac{39,916,800}{144}

Total number of permutations = 277,200

3 0
3 years ago
A tourist in London looks up at the clock in Big Ben tower and finds that it is exactly 8:00. When she looks up at the clock lat
Andrew [12]

To answer that question we need to use THE RULE OF THREE, this rule will help us solving linear relation problems.

Solution is:

The hour hand will turn (1/36)×π

The Table

Step      minute hand                hour hand

0-5         (1/6)×π                            (1/72)×π

  10        (2/6)×π                           (1/36)×π

  15        (3/6)×π   = π/2                (1/24)×π

  20       (4/6)×π   = (2/3)×π          (1/18)×π

  25       (5/6)×π                           (5/72)×π

  30       (6/6)×π   = π                   (1/12)×π

  35        (7/6)×π                          (7/72)×π

  40        (8/6)×π                          (8/72)×π

  45        (9/6)×π  = (3/2)×π         (3/24)×π

  50        ( 10/6)×π                       ( 10/72)×π

  55        (11/6)×π                          (11/72)×π

  60         (12/6)×π  = 2×π            (12/72)×π    = π/6

  • We know that each complete minute hand turn, is a 2×π angle turn, then a 5 minutes turn is (1/12) × 2×π = (π/6)
  • We will use that relationship to build the table and answer the question

If   2×π  angle for a minute hand turn is equal to 1 hour, then

(2/6) angle for a minute hand turn is equal to  "x" turn in the hour hand

So by Rule of Three, we proceed

2×π         ( Of minute hand)   ⇒    (1/6)×π   (of hour hand)

(2/6)× π   ( Of minute hand)   ⇒        x

Solving for x

2×π × x   = (2/6)× π × (1/6)×π

2× x  =  (2/36)×π

x = (1/36)×π

Now to build the table in 5 minutes steps:

Related Link: brainly.com/question/19586594

7 0
2 years ago
What is the sum of the first eight terms of the geometric series 2 + 6 + 18 + 54 + … ?
navik [9.2K]
Hello,
u_{1} =2\\
 u_{2} =2*3\\
 u_{3} =2*3^2\\
...
 u_{8} =2*3^7\\

\sum_{i=0}^7\ 2*3^i\\
=2(1+3+3^2+...+3^7)\\
=2* \dfrac{3^8-1}{3-1}\\
=2* \dfrac{6560}{2} \\
=6560

8 0
3 years ago
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