If one-fourth of 2^30 is equal to 2^x, what is x?

Answers

Answer 1

Answer:

28

Step-by-step explanation:

1/4 can be rewritten as  1 / (2^2)

or 2^-2.

using the 2nd form,

we have 2^-2 * 2^30 = 2^x

By exponent rule

2^28 = 2^x

So we can observe now that x = 28

Answer 2

Answer:

23

Step-by-step explanation:


Related Questions

A paint manufacturer wants to determine the average drying time of a new interior wall paint. For n = 50 test areas of equal size he obtained a sample mean drying time of ¯x = 63.3 minutes and a sample standard deviation of s = 8.4 minutes. (a) (5 points) Construct the 95% confidence interval for the true mean µ. (b) (5 points) Suppose the population has a normal distribution, construct the exactly 95% confidence interval for the true mean µ. (c) (5 points) Suppose the population has a normal distribution, construct the 95% prediction interval for a new observation.

Answers

Answer:

a) the 95% confidence interval for the true mean µ is 60.971, 65.629

The exact 95% confidence interval for the true mean µ is 60.971, 65.629

P (x`- ∝ s/√n<u <x`+ ∝ s/√n) = 0.95

Step-by-step explanation:

n= 50

x`= 63.3

s= 8.4 minutes

∝= 95%= ±1.96

The formula for calculating the confidence interval is:

x`± ∝ s/√n

Putting the values

x`± 1.96 s/√n

63.3 ± 1.96(8.4/√50)

63.3± 2.3287

60.971, 65.629

a) the 95% confidence interval for the true mean µ is 60.971, 65.629

b) Putting the values

x`± 1.96 s/√n

63.3 ± 1.96(8.4/√50)

63.3± 2.3287

The exact 95% confidence interval for the true mean µ is 60.971, 65.629

c) The prediction level tells that the drying time of the wall from 60.971 to 65.629 minutes must be in the range 95 % of the time.

And is given by

P (x`- ∝ s/√n<u <x`+ ∝ s/√n) = 0.95

Plz help if correct ill give Brainlyest

Answers

Answer:

taena mo

Step-by-step explanation:

taenamo bubung yawa

I think it is D

Hope this helps :)

y=3/2x-9
I need to find the x-intercept and the y-intercept with work plsss

Answers

Hi there!

x-int: (6, 0)

y-int: (0, -9)

y = 3/2x - 9

Begin by finding the x-intercept. The x-intercept is located where y = 0, therefore:

0 = 3/2x - 9

Isolate for x by adding 9 to both sides:

9 = 3/2x

Divide both sides by 3/2x:

9 * 2/3 = x

x = 6. Thus, the x-intercept is at (6, 0).

Find the y-intercept by finding the y-value at which x = 0:

y = 3/2(0) - 9

y = -9. The y-intercept is at (0, -9).

What is the definition of an irrational number?

A.
a negative number

B.
a number that can be expressed as a fraction, , where p and q are integers and q is not equal to zero

C.
a number that cannot be expressed as a fraction, , where p and q are integers and q is not equal to zero

D.
a number that can be written as a fraction but not as a decimal

Answers

It should be D but if i’m wrong is for sure C

Round the fraction to 0, 1/2, or 1.



2/9

Answers

It rounds to zero! lmk if you need anything else

Can I please have help I will mark brainly est

Answers

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer......

I believe its SQUARE! Cuz it says 4 right angles.....

Hope it helps!

mark me brainliest pls.....

Follow me! :)

Evaluate-n, when n=-4

Answers

Answer:

4

Step-by-step explanation:

-n =

-(-4) =

+4 =

4

Hope that helps!

-Sabrina

The baseball player threw the ball 30 feet to his teammate. How far would the throw be if measured in yards?

Answers

Answer:

10

Step-by-step explanation:

to convert to yard from feet you have to divide by 3

30/3-10 so he through the ball 10 yards

have a great day :D

WEEEEEEEEELLLLLLLLLLLL What is 1+1 :0 too confusion for my 1 braincell

Answers

Answer:

WELLLLLLLLLLLLLLLLLLLLLL it's 11 obviously. (or 2 ;P)

Step-by-step explanation:

i have 1/2 of a braincell :)

Answer:

1 + 1 is 2 BUT

2 + 2 is 5 ILLUMIATI CONFIRMED!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Which expression is equivalent to 4(5r+9)?

Answers

The answer would be 20r+36

HELpPppPppPppPpppPppPppppppppppppppppppoopppppoppopppppppppp
Jdjxjjxx

Answers

Answer:

£140

Step-by-step explanation:

First count up the amount of full squares, then you see the partially filled squares and try find the match for it to fill the square. It ends up being 24 squares, meaning 24 square feet. That multiplied by £5, as that is the cost of red wood, gives you the answer of £140

Find the value of x.
Pleaseeee I needddd helpppp!!!!!!

Answers

Answer:

x = 40

Step-by-step explanation:

Measure of an external angle of a circle = ½(difference of the intercepted arcs)

This means that:

½(PQ - RS) = m<T

m<T = x/2

PQ = (x + 70)°

RS = (x + 30)°

Plug in the values

½((x + 70) - (x + 30)) = x/2

½(x + 70 - x - 30) = x/2

½(x - x + 70 - 30) = x/2

½(0 + 40) = x/2

½(40) = x/2

20 = x/2

Multiply both sides by 2

20*2 = x

40 = x

x = 40

(Urgent) Worth 10 points 7.3

Answers

Answer:

m∡CBD = 135°

Step-by-step explanation:

m + 3m = 180

4m = 180

m = 180/4

m = 45

angle CBD is 3(45) = 135 degrees

Graph the inequality p < -8

Please leave an answer! I’ll give brainlist

Answers

Answer:

start from 0 then take the line going to the left put it at 0 and drag it to -8

Step-by-step explanation:

Guided Practice
Directions: Describe each pair of ratio. Write P if it is a proportion and NP if
not proportion.
1.) 4:6 = 20:24
2.) 9: 6 = 36:24
3.) 2:5 = 15:45
4.) 3:5 = 6:10
5.) 40: 16 = 5:2​

Answers

Answer:

1) NP

2) P

3) NP

4) P

5) P

Step-by-step explanation:

re-write all the pairs into fractions

1.)  [tex]\frac{4}{6} =\frac{20}{24}[/tex]   {4 x 5 = 20}  and {6 x 4 = 24}     5 4  

(basically both the underlined numbers need to be the same)

I can do an explanation for each one if you need; just comment, cause I'll be on here for a while.  Good luck! :D

What is equivalent to 0 = 2x2 - 16x – 18 when completing the
square?

Answers

Answer:

x = 1

x = -9

Step-by-step explanation:

(2x2 +  16x) -  18  = 0

2x2 + 16x - 18  =   2 • (x2 + 8x - 9)

x2 + 8x - 9

 -9    +    1    =    -8

     -3    +    3    =    0

     -1    +    9    =    8

 2 • (x + 9) • (x - 1)  = 0

2   =  0

x+9 = 0  

x = -9

x-1 = 0

x = 1

x2 + 8x - 9  = 0

  x2+8x = 9

(x+4) • (x+4)  =

 (x+4)2

x2+8x+16 = 25 and

  x2+8x+16 = (x+4)2

(x+4)2 = 25

x = -4 + √ 25

 x2 + 8x - 9 = 0

has two solutions:

 x = -4 + √ 25

  or

 x = -4 - √ 25

           

           - B  ±  √ B2-4AC

 x =   ————————

                     2A

A   =     1

                     B   =    8

                     C   =   -9

B2  -  4AC   =

                    64 - (-36) =

                    100

 -8 ± √ 100

  x  =    —————

                   2

  x  =  ( -8 ± 10) / 2

x =(-8+√100)/2=-4+5= 1.000

or:

x =(-8-√100)/2=-4-5= -9.000

Answer:  x = 1

x = -9

Which point is on the graph of y = 4x + 2? A (-2, -5 o B. (-4, -15) C. (4. 18) D. (0.1)​

Answers

Answer:

The answer should be C

Step-by-step explanation:

I hope that helps you!

Work out m and c for the line:
y = x + 3

Answers

Step-by-step explanation:

Given equation

y = x + 3

Comparing with y = mx + c so

Slope (m) = 1

y-intercept (c) = 3

Hope it will help :)❤

Answer:

I don’t know if this is right, but I hope this helps!

Step-by-step explanation:

A jar contains 8 red marbles, 10 blue marbles, and 2 yellow marbles. One marble is chosen at random. The color is recorded in the table and then it is returned to the jar. This is repeated 40 times. What is the experimental probability of choosing a yellow marble? Express your answer as a percent to the nearest whole number.

RED/14 BLUE/16 YELLOW/10

Answers

Answer:

1/4 or 25%

Step-by-step explanation:

Experimental probability:

Pe = number of event occurred / number of attempts

Probability of yellow:

Pe(yellow) = 10/40 = 1/4 = 25%

in a decimal[tex]\\4\frac{1}{5} \f}[/tex]

Answers

In decimal for its equal too 4.2
That would be 4.2! Good luck

Write the algebraic expression:
99 times the sum of y and 9

Answers



This is the answer.

Answer: 99(y+9)
the answer is indeed 99(y+9)

10 Mrs. Randall bought tickets to the art museum for all the fifth-grade students. Each ticket cost $12, and the total cost of the tickets was $1,152. How many fifth-grade students are there?​

Answers

Answer:

Step-by-step explanation:

12s=1152 (divide each side by 12 to isolate s)

s=96

So there were 96 students.

Find the lateral surface area of the figure below. Round the the nearest tenths place.
help please !

Answers

Answer: lateral surface area = 119.4cm^2
r = 2 cm.
h = 9.5 cm.

Steps:
Lateral surface area of a cylinder = 2πrh
r = radius h = height π = pi

2π(2)(9.5)
2π(19)
38π = 119.38052

Find the area of the figure shown below and chose the appropriate result

Answers

Answer:

it's the first option or A

Step-by-step explanation:

well 9 * 10 is 90 which leaves you with the numbers 14 and 3 we used 10 so that gives us 4 and 3 multiply those and you get 12 so add 12 to 90 and you get 102 thus the answer is A

The amount that Jimmy paid for his meals the four days, $6.45, $21.38, $1.99, $7.99, $16, $0, $7.99, $18.95, $4.30, $10.35, $18.20. Calculate the median

Answers

Answer:

$7.99

Step-by-step explanation:

Arrange numbers in numerical order: $0, $1.99, $4.30, $6.45, $7.99, $7.99, $10.35, $16, $18.20, $18.95, $21.38.

Count how many numbers you have, 11.

11 is an odd number so, the number in the middle of the data set is the median.

Final answer: $7.99 is the median.

Please no links, will report!

Answers

9514 1404 39318

Answer:

  XY = 11.25

Step-by-step explanation:

Corresponding sides are proportional, so ...

  XY/AB = XZ/AC

 XY = (AB)(XZ/AC) = 5(18/8)

  XY = 11.25

find the length of AD. HELP MEEEE​

Answers

Answer:

5.42

Step-by-step explanation:

hope this helped!! :)

A baseball team has scheduled its opening game for April 1. If it rains on April 1, the game is postponed and will be played on the next day that it does not rain. The team purchases insurance against rain. The policy will pay 1000 for each day, up to 2 days, that the opening game is postponed. The insurance company determines that the number of consecutive days of rain beginning on April 1 is a Poisson random variable with mean 0.6.

Required:
What is the standard deviation of the amount the insurance company will have to pay?

Answers

Policy is in terms and conditions

A coin is tossed 100 times. WHich portion would you use to find how many times you'd expect the coin to land on heads?

Answers

Answer:

i would use 1/2 because theres 2 sides on a coin and if you flip it 100 times then the probability of it landing on heads is about 50 out of 100

Step-by-step explanation:

1/2 because there are two sides

quanto é dois mais dois divido por dois

Answers

Answer:

la respuesta es 2 (dois)

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