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Bezzdna [24]
3 years ago
14

Urgent

Mathematics
2 answers:
kirza4 [7]3 years ago
8 0

Answer:

Step-by-step explanation:

F(x) = 2^x

64 = 2^x

2^6 = 2^x

x = 6

f(x) = 2^x

log (f(x)) = x log 2

x = log (f(x)) / log 2 = log_2 (f(x))

Therefore, the required logarithmic function is x = log_2 (f(x))

Click to let others know, how helpful is it

Makovka662 [10]3 years ago
5 0

Answer:

6 mosquitoes

Step-by-step explanation:

64 = 2^x

Use log base 2 both sides

log2(64) = log2(2^x)

log2(2^6) = xlog2(2)

6log2(2) = x

x = 6

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Persons taking a​ 30-hour review course to prepare for a standardized exam average a score of 620 on that exam. Persons taking a
mihalych1998 [28]

Answer:

y = 4.125x + 496.25

Step-by-step explanation:

Set the data up as points. Then deal with the points.

Givens

(30,620)

(70,785)

y2 = 785

y1 = 620

x2 = 70

x1 = 30

Formula

Slope = (y2 - y1) / (x2 - x1)

Solution

Slope = (785 - 620)/(70 - 30)

Slope = 165 / 40

Slope = 4.125

===================

Now you need the y intercept. Either one of the two given points will give you that.

y = 620

x = 30

m = 4.125

y = mx + b

620 = 4.125*30 + b

620 = 123.75 + b

620 - 123.75 + b

b = 496.25

5 0
3 years ago
What are the coordinates of P' when you translate P 4 units to the right and 3 unit down?
OLga [1]

Answer:

(3,2)

Step-by-step explanation:

The coordinates of the point P on the given graph is (-1,5).

So, when we translate point P on the graph by 4 units to the right its x-coordinate will change to (- 1 + 4) = 3.

Again, when we translate point P on the graph by 3 units down then its y-coordinate will change to (5 - 3) = 2.

Therefore, the new coordinates of the point P will be (3,2) (Answer)

4 0
3 years ago
Nathan has just bought a new car. He models the value, V, in dollars, of the car after t years as V(t) = 21,000(0.861)t. Based o
UkoKoshka [18]

Answer:

13.9%

Step-by-step explanation:

The value of car is modeled as:

V(t)=21,000(0.861)t

Here we can see that, each year Nathan has considered 0.861 of the previous year value or we can say that Nathan has considered 86.1% of the previous year value. So,

100-86.1=13.9

We subtract the percentage value considered from 100 to find out the percentage decrease in the value of the car.

The value of new car is decreasing by 13.9% each year.  

4 0
3 years ago
PLZ HELP, GIVING BRAINLIEST!!!!
masya89 [10]

Answer:

C

Step-by-step explanation:

There are three turning points.

The local minimums are (-1,-5) and (1, -5)

The local maximum is (0,-4)

5 0
3 years ago
Pls help with mathh!!!
sergeinik [125]

Answer: x<5

Step-by-step explanation:

If the circle was dark then it would be x is less than or equal to 5. But here, since the circle is open, that means that 5 is not a possible solution for x. The answer is x<5. Hope this helps!

6 0
3 years ago
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