How can you write the number 1 as a power with base 2? a power with base 10?

Answers

Answer 1

Answer:

you would have to do this as a fraction

Step-by-step explanation:

Answer 2

By applying basics properties of logarithm [tex]2^1[/tex]written as [tex]10^(ln_{2} 10)[/tex]

Let us say

[tex]2^1 = 10^x[/tex]....equation(1)

Take logarithm  both sides

What is a logarithm?

In mathematics, the logarithm is the inverse function to exponentiation. This means the logarithm of a given number x is the exponent to Which another fixed number, the base b, must be raised, to produce That number x

for example, if:

[tex]b^x =a\\x = log_{b} a[/tex]

Equation 1 can be written as

[tex]ln 2 = ln (10)^x\\\\ln2 = xln10\\\\\\x= ln_{2} 10[/tex]

Thus, [tex]2^1[/tex] can be written as [tex]10^(ln_{2} 10)[/tex]

To get more about logarithms visit:

https://brainly.com/question/11495859


Related Questions

5x + 1 = 6x - x
I need help on this problem may you help

Answers

Answer:

Step 1: Simplify both sides of the equation.

5x+1=6x−x

5x+1=6x+−x

5x+1=(6x+−x)(Combine Like Terms)

5x+1=5x

5x+1=5x

Step 2: Subtract 5x from both sides.

5x+1−5x=5x−5x

1=0

Step 3: Subtract 1 from both sides.

1−1=0−1

0=−1

Answer:

There are no solutions.

 

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

Given

5x + 1 = 6x - x , that is

5x + 1 = 5x ( subtract 1 from both sides )

5x = 5x - 1 ( subtract 5x from both sides )

0 = - 1 ← not possible

This indicates the equation has no solution

Find the distance between points P(8, 2) and Q(3, 8) to the nearest tenth.

Answers

Answer:

7.8

Step-by-step explanation:

Which statements accurately describe how to determine the y-intercept and the slope from the graph below? On a coordinate plane, a line goes through points (0, negative 6) and (3, 0). To find the y-intercept, begin at the origin and move horizontally to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction. To find the y-intercept, begin at the origin and move horizontally to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction. To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction. To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction.

Answers

Answer:

b

Step-by-step explanation:

There are 20 parrots at the animal sanctuary. Their population is increasing by 5 parrots each year. There are also 24 snakes at the sanctuary. Each year 4 more snakes are born. Part A: Write a function to represent the numbers of parrots at the sanctuary throughout the years. (6 points) Part B: Write a function to represent the numbers of snakes at the sanctuary throughout the years, (6 points) Part C: How many parrots are at the sanctuary after 10 years? How many snakes are at the sanctuary after the same number of years? Assume there are no deaths to the animals during this time. (6 points) Part D: After approximately how many years is the number of parrots and snakes the same? Justify your answer mathematically. (7 points)

Answer:

b

Step-by-step explanation:

itwass right on edge

Enter the ordered pair for the vertices for T(3, –2)(QRST).

Answers

Given:

The figure QRST.

The rule of translation is [tex]T_{(3,-2)}(QRST)[/tex].

To find:

The coordinate of vertices after translation.

Solution:

According to the given rule of translation is [tex]T_{(3,-2)}(QRST)[/tex], we get

[tex](x,y)\to (x+3,y-2)[/tex]

From the given figure it is clear that the vertices of QRST are Q(1,3), R(3,-3), S(0,-2) and T(-2,1).

Using the above rule, we get

[tex]Q(1,3)\to Q'(1+3,3-2)=Q'(4,1)[/tex]

[tex]R(3,-3)\to R'(3+3,-3-2)=R'(6,-5)[/tex]

[tex]S(0,-2)\to S'(0+3,-2-2)=S'(3,-4)[/tex]

[tex]T(-2,1)\to T'(-2+3,1-2)=T'(1,-1)[/tex]

Therefore, the coordinates of the vertices after translation are Q'(4,1), R'(6,-5), S'(3,-4) and T'(1,-1).

The ordered pairs for the vertices of T(3, –2)(QRST) are

[tex]\mathbf{Q' = (4,1)}[/tex]  [tex]\mathbf{R' = (6,-5)}[/tex]  [tex]\mathbf{S' = (3,-4)}[/tex] and [tex]\mathbf{T' = (1, -1)}[/tex]

The coordinates of QRST are:

[tex]\mathbf{Q = (1,3)}[/tex]

[tex]\mathbf{R = (3,-3)}[/tex]

[tex]\mathbf{S = (0,-2)}[/tex]

[tex]\mathbf{T = (-2,1)}[/tex]

The transformation rule of [tex]\mathbf{T(3,-2)}[/tex] is:

[tex]\mathbf{(x,y) \to (x + 3,y -2)}[/tex]

So, we have:

[tex]\mathbf{Q' = (1 + 3,3 -2)}[/tex]

[tex]\mathbf{Q' = (4,1)}[/tex]

[tex]\mathbf{R' = (3 + 3,-3 -2)}[/tex]

[tex]\mathbf{R' = (6,-5)}[/tex]

[tex]\mathbf{S' = (0 + 3,-2 -2)}[/tex]

[tex]\mathbf{S' = (3,-4)}[/tex]

[tex]\mathbf{T' = (-2 + 3,1 -2)}[/tex]

[tex]\mathbf{T' = (1, -1)}[/tex]

Hence, the ordered pairs for the vertices of T(3, –2)(QRST) are

[tex]\mathbf{Q' = (4,1)}[/tex]  [tex]\mathbf{R' = (6,-5)}[/tex]  [tex]\mathbf{S' = (3,-4)}[/tex] and [tex]\mathbf{T' = (1, -1)}[/tex]

Read more about transformation at:

https://brainly.com/question/13801312

all you need is in the photo

please answer step by step ​

Answers

Carol, download a app called connects way better

Which of the following statements must be true about this diagram?
Check all that apply.

Answers

Answer:

i would go for a and c

Step-by-step explanation:

The ratio of boys and girls in Mrs. Hill’s homeroom is 3:4. Which of the following could be the actual number of boys and girls?

A. 12 boys and 9 girls

B. 12 boys and 16 girls

C. 9 boys and 16 girls

D. 12 boys and 15 girls

Answers

Answer:

B 12 boys and 16 girls

Step-by-step explanation:

Make the ratios into fraction form. Simplify all of the fractions. The fraction that equals the original ratio is the correct answer. Dived both 12 and 16 by 4 and you get 3 and 4.

Brainliest please

Answer:

B

Step-by-step explanation:

Because 3 times 4 is 12 and 4 times 4 is 16 so that shows that they are equivalent hope it helps have a nice day

can someone help???​

Answers

A, B, D   are your answers.

What is an equation of the line that passes through the points (-4, 3) and
(-1, 6)?
A. y = -x - 7
B. y = -x - 1 C. y = 7x + 1
D. y = x + 7

Answers

The answer is D

We have m=a= (y2-y1)/(x2-x1)=(6-3)/(-1+4)=1
Y=x+ b
For the b, we have : (-1,6) : 6= -1 + b
b=7
y=x+ 7

What is the slope of the line that passes through the points M(-3,5) and N (1,8)

Answers

Answer:

m=[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Find the percent change from the first value to the second. Round to the nearest percent.
80; 60.

Answers

Answer:

25% decrease

Step-by-step explanation:

=(60−80)|80|×100

=−2080×100

=−0.25×100

=−25%change

=25%decrease

Answer:

25% decrease

Step-by-step explanation:

Which action by the body best releases heat and cools the body during and after exercising?
a:Chemicals are released to indicate thirst.
b;Perspiration occurs.
c;Breathing rate increases.
d;Muscles make lactic acid.

Answers

Answer:

b

Step-by-step explanation:

B , becausse when percipitation occurs you sweat which is how your body releases heat and cools you down.

When we exercise and the body needs to release heat and cool itself, it engages in the process of b. Perspiration

Perspiration:

Refers to when humans sweat Allows us to cool down because the sweat cools us down

When we are exercising therefore and we begin to sweat, this just means that the body is quite hot and needs to cool itself down.

In conclusion, the body uses perspiration to cool itself.

Find out more at https://brainly.com/question/2456079.

HELPP HELP IM FAILING THIS CLASS

Answers

Answer:

Area=572.56

Step-by-step explanation:

A=1/4πd2

Area=1/4 x pi x diameter squared.

Answer:

thanks for the free points and the anwser is 5

Step-by-step explanation:rqwafs

3q2rr

Wonder if someone can help me with my math work please

Answers

Answer:

The slope is negative. The relationship is proportional

Step-by-step explanation:

Help plz it’s algebra 1

Answers

Answer:

The x Intercept is (4,0) and the y intercept is (0,-5)

Step-by-step explanation:

If BC
is the image of XY
after a rotation about the origin, then what is always true about BC
?

A
BC
is a vertical segment.
B
BC
is a horizontal segment.
C
BC
is in the same quadrant as XY
.
D
The length of BC
is the same as XY
.

Answers

Answer:

C

Step-by-step explanation:

The value of y is directly proportional to the value of x. If y = 24 when x = 6, what is the value of y when x = 48?

Answers

Answer:

192

Step-by-step explanation:

We know that x is 1/4 of y, since 6 is 1/4 of 24. Therefore, we can multiply 48 by 4 to get 192!

A number increased by three is the same as quadrupling that number increased by five all divided by four. What is le number?

Answers

Answer:

The number is infinity

Step-by-step explanation:

Let the unknown number be x

if the number increased by three, then we have;

x + 3

Also quadrupling that number increased by five all divided by four is expressed as;

(4x+5)/4

Equating bith expressions and calculating x;

x+3 = (4x+5)/4

cross multiply;

4(x+3) = 4x + 5

4x+12 = 4x + 5

4x-4x = 5 - 12

0x = -7

x = -7/0

x = ∞

Hence the number is infinity

At one gas station, gas costs $2.75 per gallon. Complete the equation that relates the total cost, C, to the number of gallons of gas purchased, g.



C = __

Answers

Answer:

C = 2.75

Step-by-step explanation:

it does not tell how much there for it is 1 gallon

How do you write 7.4411 as a percentage

Answers

Answer: 744.11%

Step-by-step explanation:

Move the decimal point over twice

Which shows the correct method for solving the equation below?
(y-9)
= 3

Answers

First one because Y=12

A band earned $550.00 for playing at a concert. Their manager takes 15% of the money earned for each show and the band is donating 20% of the money earned to charity. How much money is left for the band to split?

Answers

Answer:

The amount of the money earned left for the band to split is $357.5

Step-by-step explanation:

The amount the band earned for playing at the concert = $550.00

The percentage of the money earned taken by the manager = 15%

The percentage of the money earned the band is donating to charity = 20%

The amount of the money earned the manager takes = 15/100 × 550 = 82.5

∴ The amount of the money earned the manager takes = $82.5

The amount of the money earned that is donated to charity = 20/100 × 550 = 110

∴ The amount of the money earned that is donated to charity = $110

The amount of the money earned left for the band to split = $550 - $82.5 - $110 = $357.5.

um. 100 points to who answers this LOL

Answers

Sheesh .........................................

Answer:

i have no idea to big of a question byt why would your teacher give you that kind of math

Step-by-step explanation:

PLEASE ACTUALLY HELPPPP I NEDED HELP THIS IS SPANISH BTW

Answers

Answer:El ponche is a cider jicama is a vegetable

Step-by-step explanation:

Simipfly the expression
-6x+4x
5p+10+p+1
5(3k+1)-2k
5n-7(-7n-8)​

Answers

Answer:

#1: -2x

#2: 6p + 11

#3: 5k + 1

#4: -2n - 15

Step-by-step explanation:

A recent survey suggests that 47% of all televisions are connected to the internet, 32% are voice controlled, and 22% are both connected to the internet and voice controlled. Suppose a television is selected at random and it is voice controlled. What is the probability that a randomly selected voice-controlled television is also connected to the internet?

A. 0.15
B. 0.47
C. 0.69
D. 0.79

Answers

Answer:

0.69

Step-by-step explanation:

Here, we want to find the probability that a randomly selected television is connected to the internet given that it is voice-controlled

let P(V) is the probability of selecting a voice controlled television

P(I) is the probability that a selected television is connected to the internet

So the probability we want to calculate according to Baye’s theorem will be;

P(I|V) = P(I n V)/P(V)

P( I n V) = 22%

P(V) = 32%

So the probability is;

22%/32% = 0.6875 which is approximately 0.69

Answer: 0.69

Step-by-step explanation:

HELP WILL MARK BRAINLIEST
Which table represents a nonlinear function?

Answers

Answer:

Omg I remeber that wait  let me think

Step-by-step explanation:

Step-by-step explanation:

the third one is the nonlinear function

hope this helps

I need help asap Will reward you big time

Answers

Answer:

B

Step-by-step explanation:

I did it for u

Two more than eleven times a number is equal to 24. What is the number?

Answers

Answer:

2

Step-by-step explanation:

24/ 11 = 2 2/11

so, we have 2 and 2/11

11x2 = 22 + 2 = 24

Marios plumbing service charges $40 per house visit. Write this relationship as a proportional equation​

Answers

Answer:  50*h+40 = 190

Step-by-step explanation:

50*h+40 = 190 where

50h will give you how much you pay for the hours of work

40 is the flat fee that you add up to the total

I hope this helps!!

Other Questions
Explain the process of creating a switch statement to replace an if-then-else statement in Java. Please help, I can't think today. what is the difference between biomass and fossil fuels main points? Please help me! Brainliest and 5 pts! :)Select all the correct answers.Which questions would help determine whether an article is scientifically accurate?A. Is the author stating an opinion or a fact?B. Does the author have a balanced diet?C. Does the author have evidence for the given facts?D. How many articles has the author written before?E. Does the author like music? Josh was packing to move to another office. He packed 3 2/5 boxes on Tuesday and 2 9/10 boxes on Wednesday. After everything was moved to his new office on Wednesday afternoon, he only found 4 1/4 boxes. How many boxes were missing? Which of the following is a key cultural difference between Ireland and Northern Ireland?A religionB economicsC famineD immigration .............................................................................. 12 + 3(8 + x)But it can only be done like this e.x 2(3 + 9x)= 6 + 18xHelp me Which of the following is the value of PQ?A) 46B) 61C) 91D) 67 Which of the following believed in the common man and supported an agrarian society? A).Thomas Jefferson B).Alexander Hamilton C).Federalists D).Libertarians PLEASEE HELP MEEE WHO EVER IS CORRECT GETS A REWARD Jackson has to have his car repaired. The mechanic tells him it will cost $75 for each hour of labor plus the cost of the parts. He discovers that the parts cost $165. Part A: Write an equation that can be used to determine the cost of the repairs for any hours of labor. Part B: How much would the repairs be if it took 3 hours?Part C: What is the meaning of the slope in Part A?Part D: What is the meaning of the y-intercept in Part A? Which of these issues was a major source of friction between Heathcliff and Catherine in Wuthering Heights?A. social divideB. temperamentC. etiquetteD. intoleranceE. abusive nature how many moles of oxygen molecules can be produced from 6 moles of lead oxide If I can read 54 pgs in 3 days, how many can I read in 1 day? 7 notebooks cost $21. How much for 5 notebooks? g(t) = 2t - 5; Find g(-9) Five less than twice the value of a number is equal to three times the quantity of four more than one-half the number. What is the number? The different forms of a gene are called(1 Point)traitshybridsalleles songs to listen to whenever ur sadthe soulmate that wasn't meant to be - Jess benkoAs the world caves in - matt malteaseI cant handle change - ROARPluto projector - rex orange contreyNight changes - by one directionBubble gum - clarioREMEMBER U ARE LOVED, FEEL BETTER What is 5% of $40.00?