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Anton [14]
3 years ago
8

13 POINTS!!!!!

Mathematics
2 answers:
Valentin [98]3 years ago
7 0

Answer:

The graph of function f of x equals log base 5

So yes , D

vladimir1956 [14]3 years ago
6 0

Answer:

The correct option is D.

Step-by-step explanation:

The given equation is

5^y=12

Taking log with base five on both the sides.

log_{5}5^y=log_{5}12

y=log_{5}12                                 [\because log_aa^x=x]

This function can be written as

y=log_{5}x

Where, x=12.

Substitute x=5 in the above function.

y=log_{5}5=1

At x=5, the value of function is 1.

Only in option D, the value of function is 1 at x=5.

Therefore, the correct option is D.

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Find the next three terms of the sequence. Then write a rule for the sequence.
g100num [7]
We notice it diviides by 3 each time or multiplies by 1/3
common ratio is 1/3
first term is 648

so next 3 terms are 8, 8/3, and 8/9

rule is an=648(1/3)^(n-1)
8 0
3 years ago
A bag contains purple marbles and blue marbles, 41 in total. The number of purple marbles is 4 less than 2 times the number of b
Andreas93 [3]

Answer:

There are 26 purple marbles in the bag.

Step-by-step explanation:

1) We have purple (p) and blue (b) marbles in a bag, and 41 marbles total so:

p+b = 41

2) we want to know how many purple marbles we have, so let's rearrange for p:

p = 41 - b

3) Our problem gives us an expression for the purple marbles in terms of the blue,  let's write it using math symbols instead of words:

<em>"The number of purple marbles is 4 less than 2 times the number of blue marbles."</em>

so: p = 2b - 4

3) Now we're going to plug this in (or substitute it) for our p in our first equation, and solve for b

p = 41 - b

2b - 4 = 41 - b     (substitution)

2b = 45 - b         ( add 4 to both sides)

3b = 45               (add b to both sides)

b = 15                  (divide both sides by 3)

4, last step!)

Now we know we have 15 blue marbles, that's great! But we still want to know how many purple marbles we have.

41- 15 = 26 purple marbles

4 0
3 years ago
Find a formula for the nth term of the sequence 1 -4 9 -16 25
ZanzabumX [31]
X² n = 1,2,3,4,5

1² = 1
2²= 4
3²= 9
5 0
3 years ago
Evaluate the value of x to 1 d.p<br><br><br> Thank you
Keith_Richards [23]

Answer:

value of x = 2.8

Step-by-step explanation:

By law of cosines,

{a}^{2}  =  {b}^{2}  +  {c}^{2}   - 2 \times b \times c \times cos(100) \\  {x}^{2}  =  {13}^{2}  +  {10}^{2}  - (2 \times 13 \times 10 \times cos100) \\  = 169 + 100 - 260 \times 0.862 \\  = 269 - 260 \times 0.862 \\  = 7.758 \\x =  \sqrt{7.758 }  \\  = 2.785 \\  = approx \: 2.8

6 0
3 years ago
Can someone help me with this question please?
blagie [28]

Answer:

  a) 96 = 3.57√h

  b) h ≈ 723.11 m

Step-by-step explanation:

<h3>a)</h3>

The equation you want to solve is the model with the given values filled in.

  D(h) = 3.57√h . . . . model

  96 = 3.57√h . . . . . equation for seeing 96 km to the horizon

__

<h3>b)</h3>

We solve this equation by dividing by the coefficient of the root, then squaring both sides.

  96/3.57 = √h

  h ≈ 26.891² ≈ 723.11 . . . . meters above sea level

Dustin would need to have an elevation of 723.11 meters above sea level to see 96 km to the horizon.

8 0
2 years ago
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