Is it possible for the function f(x) - 5 x 2^x to have an output of 200?

Answers

Answer 1

Answer:

The solution is possible

Step-by-step explanation:

Given

[tex]f(x) = 5 * 2^x[/tex]

Required

Is an output of 200, possible?

To know if it is possible or not, we start by substituting 200 for f(x)

[tex]200 = 5 * 2^x[/tex]

Divide both sides by 5

[tex]\frac{200}{5} = \frac{5}{5} * 2^x[/tex]

[tex]\frac{200}{5} = 2^x[/tex]

[tex]40 = 2^x[/tex]

[tex]2^x =40[/tex]

Take logarithm of both sides

[tex]log2^x =log40[/tex]

Apply law of logarithm

[tex]xlog2 =log40[/tex]

Divide both sides by log2

[tex]x = \frac{log40}{log2}[/tex]

[tex]x = \frac{1.6021}{0.3010}[/tex]

[tex]x = 5.32[/tex]

for f(x) = 200, x is approximately 5.32

Hence, the solution is possible


Related Questions

Jason has 18 coins in his pocket.
The coins are all either dimes or
quarters. If the total value of the
coins in his pocket is $3.60.
Determine how many dimes he has
using the elimination method.



Can someone please answer this I can’t do it

Answers

Answer:11

Step-by-step explanation:

11 dimes 4 quarters 3 50 cent pieces

Terry pays £480 per month in rent.
His landlord decides to increase the rent by 7.5%.
How much rent does he pay now?

Answers

Answer: £516

Step-by-step explanation:

7.5 increase = 100 + 7.5 = 107.5

107.5/100 = 1.075 (multiplier)

480 x 1.075 = 516

Select ALL of the values that are solution to the inequality below.
[tex] \frac{7x + 6}{2} \leqslant 3x + 2[/tex]
​a. x=-3
b. x=-2
c. x=-1
d. x=0
e. x=1
f. x=2
g. x=3

Answers

Answer:

[tex] \frac{7x + 6}{2} \leqslant {3x + 2}\\[/tex]

a. x=-3

b. x=-2

c. x=-1

d. x=0

e. x=1

f. x=2

g. x=3

Step-by-step explanation:

[tex] \frac{7x + 6}{2} \leqslant 3x + 2 \\ 7x + 6 \leqslant 2(3x + 2) \\ 7x + 6 \leqslant 6x + 4 \\7x - 6x \leqslant 4 - 6 \\ \boxed {x \leqslant - 2}[/tex]

All the values that are equal to or less than -2 are the solution of the given inequality i.e.,

x→{-∞,-2]

Write the equation of a line with:
slope: -5
y-intercept: -24

Answers

Answer:

[tex]y = - 5x - 24[/tex]

^^^^^^^

Y= -5x-24 i think. X just represents 1 which means you move down 5 spaces and right 1. Your line should pass through the point (0,-24)

Simplify:
3 [26 + (4 – 2) - (6 - 2)2]

Answers

Answer:

the answer is 60

Step-by-step explanation:

hoped I helped:)

Remember your PEMDAS! Do your parenthesis first (4-2) and (6-2), then multiply (6-2) by 2, finish off your big parenthesis with addition and subtraction, and finally, multiply by three.
It should go something like this:
3[26 + (2) - (4)2]
3[26 + (2) - 8]
3[28 - 8]
3[20]
60

Find the slope: (1, -2) (7, -3)

Answers

Answer:

slope or m= -1/6

Step-by-step explanation:

Please help me ASAP

Answers

Answer:

12

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

4*4*4=64

i’ll give brainliest

Find the y-intercept of the line on the graph.
Enter the correct answer

Answers

Given:

The graph of a line.

To find:

The y-intercept of the line.

Solution:

y-intercept of a line is the point at which the line intersect the y-axis.

We have, graph of the line.

From the given graph it is clear that the line intersect the y-axis at (0,4).

So, y-intercept is at point (0,4).

y-intercept = 4

Therefore, the y-intercept is 4.

introduces a study where researchers studying the relationship between honesty, age, and self-control conducted an experiment on 1G0 children between the ages of 5 and 15. The researchers asked each child to toss a fair coin in private and to record the outcome (white or black) on a paper sheet, and said they would only reward children who report white. Half the students were explicitly told not to cheat and the others were not given any explicit instructions. Differences were observed in the cheating rates in the instruction and no instruction groups, as well as some differences across children's characteristics within each group. (a) Identify the population of interest and the sample in this study. (b) Comment on whether or not the results of the study can be generalized to the population, and if the findings of the study can be used to establish causal relationships.

Answers

Answer:

The solution to this question can be defined as follows:

Step-by-step explanation:

In choice a:

Both children between 5 and 15 years old and 160 years old are also the populations of interest, and Kids from 5 to 15 years of age.

In choice b:

These findings could be compared like we do not know whether the groups were randomly selected, and the allocation is still not random; there could be no casual conclusion because the statement is valid even With sample research, and after randomization, filtering, and testing of 160 specimens (instruction vs no-instruction) Its analysis can be common to the community and replicated. There could be explanatory relations generated by experimental research. This analysis is observational and can therefore be used Causal relationships are established.gggg

Hey, I don’t understand what is x and whatnot and I think I’m gonna fail. Please explain it to me anyone?

Answers

Well X(in math) is a unknown number you could use any letter but X is most commonly used

Hope this helps

Have a great day/night

Factor z^3 - 5z^2 - 9z + 45 completely.

Answers

Answer:

(z-5)(z+3)(z−3)

Step-by-step explanation:

Go to math 10 . com  (it's going to be your friend) but that's the answer. Just click factor

Find the value of x. help please!

Answers

The answer is A.


Because 7(5)+13 is 48. They are vertical angels so they have to be equal/ congruent.

Look in photo for the question

Answers

The age of Paul (r) plus (+) the age of Maria (32) is greater than or equal to (≥) the age of my grandfather.

Helpppppppp pls is hard​

Answers

Answer:

-5

Step-by-step explanation: the graph

Are the ratios 4:6 and 1:2 equivalent?

Answers

Answer:

no

Step-by-step explanation:

4:6 simplified is 2:3 so no they are not equivalent

Answer:

No

Step-by-step explanation:

HELP IM BEING TIMED ON THIS MATH EQATION.

Answers

Answer:

268mph

Step-by-step explanation:

hdjdjebshshdznsk

The first question answer is 268 miles in one hour

simplify -3/5-(-1/10)

Answers

Answer:

-1/2

Step-by-step explanation:

Change the signs

-3/5 + 1/10

-6+1/10

-5/10

Reduce

-1/2

Answer:

-1/2

Step-by-step explanation:

Change the signs

-3/5 + 1/10

-6+1/10

-5/10

Reduce

-1/2

Determine whether each table of values represents a linear function. For those that do not explain why not.

Answers

Answer:

Table M does not represent a linear function, however table N does.

Step-by-step explanation:

In table M, y does not have a constant rate of change in relation to x

(in table M, the x value of -3 is repeated and the y value is not constant with the x value of -3)

In table N, the y value has a constant rate of change of 6 corresponding to each x value.

4 2/5+k=−3 2/11

Need help

Answers

Answer:

2/11

Step-by-step explanation:

Here we have two mixed numbers. Be very careful when handeling negative mixed numbers. Don't coonfuse "-3 2/11" with "-3 + 2/11"

4 2/5 + k = -3 2/11

I add a minus into the mixed fraction on the right. Of course you don't have to write an entire new line when you do calculations on paper.

4 2/5 + k = -3 -2/11

k = - 3 - 4 - 2/5 - 2/11

k= - 7 -2/5 -2/11

Make common denominators. Both 11 and 5 is prime numbers (numbers that are only divisible by one and itself). Therefore the common denominator is 5*11=55.

k= - (7*55)/55 - (2*11)/(5/11) - (2*5)/(11*5)

k = - 385/55 - 22/55 -10/55

k = - (385 +22+10)/55

k = - 417/55

Since 417 isn't divisible by neither 11 nor 5, this fraction is in it's simplest form.

btw correct me if i am wrong

Answer:

[tex] k = - 1 \frac{12}{55} [/tex]

Step-by-step explanation:

[tex]4 \frac{2}{5} + k = 3 \frac{2}{11} \\ \frac{22}{5} + k = \frac{35}{11} \\ k = \frac{35}{11} - \frac{22}{5} \\ k = \frac{175 - 242}{55} \\ k = \frac{ - 67}{55} \\ k = - 1 \frac{12}{55} [/tex]

Can I have the brainliest please ??

I'll give you brainiest

Explain how to translate the statement into an equation. Use n for the variable.

Sixty-three is the product of nine and a number.

Answers

Answer:

9n=63

n=7

Step-by-step explanation:

Answer:

Replace the word "is" with an equals sign. Replace the word "product" with a multiplication sign. Replace the words "a number" with the variable n, to represent the unknown value. The equation is 63 = 9n.

Step-by-step explanation:

correct on edge

A store is having a 20% off sale on all merchandise 1. If Mai buys one item and saves $13 what was the original price

Answers

Answer: $65

Step-by-step explanation:

The store is having a 20% off sale.

Mai buys an item and saves $13.

This means that $13 is 20% of the price of the item that Mai bought.

Assume the original price is x. Expression is:

x * 20% = 13

x = 13/20%

x = $65

Sophia take it away the question is in the picture.

Answers

Answer:

1. 11/12 and 19/3

2. 19.6875

3a. 9/11 = .8181818181 just repeating

3b. 4/5= 0.8

3c. -17/5 = -3.4

3d. 5/9 = 0.555555556

It is the biggest cell in the female human body
a. Ovary
b. Cervix
is also called the hinth canal
c. Egg cell​

Answers

Answer:

c

Step-by-step explanation:

can i hsve brainliest

Answer:

C. Egg cell

Step-by-step explanation:

It is the biggest cell in the female human body is egg cell

I NEED HELP PLEASE !!!!

Answers

Answer:

a and c

Step-by-step explanation:


A model of an airplane is 6 inches long. If the actual airplane is 45 feet, find the scale of the model.

Answers

Answer:

A

Step-by-step explanation:

Divide both numbers by 6. 1 inch per 7.5 ft.

If we multiply a positive and a negative number, is the result positive or
negative?

Answers

Answer:

Negative

Step-by-step explanation:

It's negative because my math teacher said so a few years ago. Sorry for the not so great explanation... I didn't pay attention that day.

What is the value of the expression 2x3y when x= −2 and y = 3?

Answers

I think it’s -36, not 100% sure though

negative 2 minus 6 times a number equals 19

Answers

Answer:

-2-6x=19

Step-by-step explanation:

-2 - 6x = 19 . hope this helps if not sorry


The diagram shows a parallelogram ABCD.
In the diagram, all the angles are in degrees.
Diagram NOT
accurately drawn
D
с
4x - 30
x + 24
x+2y
Work out the value of 2 and the value of y.
(4 marks)
y =
22
Submit Answer
Type here to search
o
19/0

Answers

can you provide a picture?

Approximate: log5 ^4/7

Answers

Answer:

log5 (4/7)= log5 (4)- log5 (7)=-0.347708839

Step-by-step explanation:

for the first question which would be Approximate: log5 4/7 the answer would be B. –0.3477

and for the second question which would be Approximate: log1/2 5 the answer would be C.–2.3219

 

Answer: Option B ( -0.3477 )

Step-by-step explanation:   Using Properties of Logs

logb(x/y) = logbx - logby.

Furthermore

log5 (4/7)= log5 (4)- log5 (7)

Solve log 5 (4) and log 5 (7)  with the base change of the logarithm

log 5 4 = log 4 / log 5

Use the calculator (DESMOS):  log 5 4 =0.8613531161

log 5 7 = log 7 / log 5

log 5 7 =1.2090619551

Therefore, The answer is, log5 (4/7)= log5 (4)- log5 (7)=-0.347708839

For the second part of the question just to not make this too long the answer to the second part is: C ( -2.3219 )

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