Evaluate 64 to the power of 2/3

Answers

Answer 1

Answer:

[tex]16[/tex]

Step-by-step explanation:

[tex] {64}^{ \frac{2}{3} } \\ {2}^{6 \times \frac{2}{3} } \\ {2}^{ \frac{12}{3} } \\ {2}^{4} \\ = 16[/tex]

hope this helps you

have a nice day!

Answer 2

Answer:

16

Step-by-step explanation:

Using the rule of exponents/ radicals

[tex]a^{\frac{m}{n} }[/tex] = [tex](\sqrt[n]{a}) ^{m}[/tex] , then

[tex]64^{\frac{2}{3} }[/tex] = [tex](\sqrt[3]{64}) ^{2}[/tex] = 4² = 16


Related Questions

What are the minor arcs of OO?
H L O J K

Answers

Answer:

JK and LH

Step-by-step explanation:

if u look at it, they are the smaller arcs produced compared to HJ and KL which are much bigger

Use the formula v = IR for current flowing through a resistor, where V is the voltage in volts, I is current in amps, and R is resistance in ohms. Find the current through a resistor with resistance 15 ohms if the voltage across it is 3 volts.

Answers

Answer:

0.2 amps

Step-by-step explanation:

Given data

The formula V=IR is the formula for ohms law

Which state that  the voltage is directly proportional to the current and the resistance in an electric circuit

Now

R= 15 ohms

V= 3volts

V= IR

3= I*15

I= 3/15

I= 0.2 amps

Hence he current flowing is 0.2 amps

Which problem can be solved using the equation shown?
2 dollars and 50 cents x minus 2 dollars = 10 dollars and 50 cents

A. Will bought several books that cost $2.50 each and received a $2.00 discount on his total bill. If he paid $10.50, how many books did he buy?

B. Will bought several books that cost $2.00 each and received a $2.00 discount on his total bill. If he paid $10.50, how many books did he buy?

C. Will bought several books that cost $10.50 each and received a $2.00 discount on his total bill. If he paid $2.50, how many books did he buy?

D. Will bought several books that cost $10.50 each and received a $2.50 discount on his total bill. If he paid $2.50, how many books did he buy?

Answers

Answer:

A

Step-by-step explanation:

i hope it help!!!!!!!!!

A group of 5 students was asked, "How many hours did you watch television last week?" Here are their responses:
14, 6, 18, 15, 13
Find the median and mean number of hours for these students.
If necessary, round your answers to the nearest tenth.
Median: hours
?
Mean: [hours

Answers

The answer is this because it is 30

A cộng b tất cả bình phương bằng bảo nhiêu

Answers

Answer:tôi chưa hiểu câu hỏi của bạn

Step-by-step explanation:

rule for 15,19,23 please I need it urgently ​

Answers

Answer:

[tex]a_{n}[/tex] = 4n + 11

Step-by-step explanation:

There is a common difference between consecutive terms, that is

19 - 15 = 23 - 19 = 4

This indicates the sequence is arithmetic with explicit rule

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 15 and d = 4 , then

[tex]a_{n}[/tex] = 15 + 4(n - 1) = 15 + 4n - 4 = 4n + 11

GIVING OUR BRAINLIEST HELP ME PLEASE !! 10 PTS!

Answers

Answer:

The solution is D. x² + y² + 4x - 2y = -1

Step-by-step explanation:

The standard form of a circle with a center at (h,k) and a radius r is:

(x-h)² + (y-k)² = r²

Since the center is (-2,1) and the radius is

2, we know that:

h = -2k = 1r = 2

Thus, the equation of the circle is:

(x-(-2))² + (y-1)² = 2²

This simplifies to be

(x+2)² + (y-1)² = 4

The equation of the circle is:

(x+2)² + (y-1)² = 4

x²+4x+4+y²-2y+1 = 4

x²+y²+4x-2y+5 = 4

x²+y²+4x-2y = 4-5

x²+y²+4x-2y = -1

What is a probability ?


A number that measures the likelihood that the event will occur.

An activity involving chance in which results are observed

An observation of an experiment

The result of an experiment

Answers

Answer:

A number that measures the likelihood that the event will occur.

Step-by-step explanation:

Probability is a measure of the frequency of occurrence of a phenomenon, the value of which can be expressed qualitatively or quantitatively. Probability is quantified as a real number between 0 and 1, although sometimes probability is also expressed as a percentage. The probability is 0 when the event cannot or will never happen, and the probability is 1 when it happens for sure or it always happens. If the probability is between these values, the event is not common and its occurrence is uncertain. The higher the probability value, the more common the event is or the more certain it will occur.

A positive real number is 4 less than another. if the sum of the squares of the two numbers is 72, then find the numbers

Answers

Answer:

x+4=72

x=72-4

x=68

Step-by-step explanation:

let x be one number and 4 be anothe number then sum of the two number be x and 4

Triangle ABC is the pre-image and triangle DFE is the image.
What is the scale factor of the dilation?
Please helppp!!!!!

Answers

Answer:

Scale factor = ½

Step-by-step explanation:

The original image is the preimage = ∆ACB

The new image is the image = ∆DFE

The scale of factor of dilation = image/preimage = DF/AC

DF = 6 cm (given)

AC = 12 cm (given)

Plug in the values into the equation to find the scale factor of dilation:

Scale factor = 6/12

Scale factor = ½

Consider the following data set with a mean of 12: 9,11,12,16 using the standard deviation formula calculate the standard deviation for this data set

Answers

Answer:The following algorithmic calculation tool makes it easy to quickly discover ... E.g: 11,21,10,42,53 ... Mean = sum of values / N (number of values in set); Variance = ((n1- ... Population Standard Deviation = use N in the Variance denominator if ... for data set 1,8,-4,9,6 compute the SD and the population SD.

Step-by-step explanation:

A father and his son decide to sum their ages. The sum is equal to sixty years. Six years ago, the age of the father was five times the age of his son. Six years the son's age will be?

I will mark as brainlist plzzzzz

Solve the question I know the answer but i cannot solve it..

I can tell you that ans is 16.8 years but solve...

Answers

Answer:

20

Step-by-step explanation:

Let father's age be x

let son's age be y

x + y = 60 - (eq 1)

Six years ago,

(x - 6) = 5(y - 6) -(eq 2)

From (1)

x = 60-y

Therefore, 60-y - 6= 5y - 30

y = 14

in six years, y = 20

The volume of a sphere is 905 1/7 cm³ ? Determine its diameter
will give brainliest ​

Answers

Volume of the sphere = 4/3πr³

905 1/7 = 4/3*22/7*r³

6336/7 = 4/3*22/7*r³

r³ = (6336*7*3)/(4*22*7)

r³ = 133056/616

r³ = 216 

r = ∛216

r = 6 cm 

So, diameter = 6*2 = 12 cm

Surface area of the sphere = 4πr²

= 4*22/7*6*6

= 3168/7

Surface area of the sphere = 452.57 sq cm

Hope it helps.

what number must you add to complete the square? x^2+8x=9

Answers

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{x^2 + 8x = 9}[/tex]

[tex]\large\textsf{SUBTRACT 9 to BOTH SIDES}[/tex]

[tex]\mathsf{x^2 + 8x - 9 = 9 - 9}[/tex]

[tex]\mathsf{x^2 + 8x - 9 = 0}[/tex]

[tex]\large\textsf{FACTOR the LEFT SIDE of the EQUATION}[/tex]

[tex]\mathsf{(x - 1)(x + 9) = 0}[/tex]

[tex]\large\textsf{SET the FACTORS to EQUAL 0}[/tex]

[tex]\mathsf{x - 1 = 0 \ OR \ x + 9 = 0}[/tex]

[tex]\large\textsf{Simplify above and you have your answer to the question above (also}\\\large\textsf{known as the results for your x-values)}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x = 1 or x = -9}}}\huge\checkmark[/tex]


[tex]\large\textsf{But, your overall answer should be:}[/tex]

[tex]\huge\boxed{\textbf{ADD \underline{16} to both sides}}[/tex]

[tex]\large\textsf{Because, you had to break down x}\mathsf{^2}\large\textsf{ to (x + 4)(x + 4) or you could}\\\large\textsf{simply say (x + 2)}\mathsf{^2.}[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

x²+8x+9

We know

(a+b)²=a²+2ab+b²

To get 2ab satisfied

2ab=8x2x(b)=8xb=4b²=16

16 must be added on both sides to get (x+4)²

Can someone please help me

Answers

Answer:

8,889

Step-by-step explanation:

1 twig = 10 leaves

1 branch = 10 twigs = 100 leaves

1 trunk = 10 branches = 1000 leaves

1 tree = 10 trunks = 10,000 leaves

The complete tree has 10,000 leaves

The woodcutter cut off:

1 trunk = 1000 leaves

1 branch = 100 leaves

1 twig = 10 leaves

1 leaf

Total number of leaves that were cut:

1000 + 100 + 10 + 1 = 1111

Leaves left on tree:

10,000 - 1,111 = 8,889

I know the answer I just need a step by step explain. The answer is $1000

Answers

sorry, I can help with this question but the question is cut off on the right, reply to me with the full question and id be happy to help :)

Kimberly loves science and just subscribed to KiwiCo.
a company that delivers STEAM kits to students to
build and create things at home. KiwiCo charges a
subscription fee of $16.99 for each of its members.
KiwiCo had 300 subscribers in March. In April, 50 new
people subscribed to KiwiCo, and 23 people canceled
their subscriptions. How much more money did KiwiCo
earn from subscriptions in April?

Answers

Answer:

$5555.73

Step-by-step explanation:

$16.99 per 1 person

300+50=350-23=. 327

327×$16.99= 5555.73

Try this and if it doesn't work then let me know

If a1 = 6 and an
-5an-1 + 4 then find the value of a4.

Answers

9514 1404 393

Answer:

  a4 = -666

Step-by-step explanation:

Use the recursive definition repeatedly.

  a1 = 6

  a2 = -5(6) +4 = -26

  a3 = -5(-26) +4 = 134

  a4 = -5(134) +4 = -666

A cargo plane has a maximum take off weight of 910000 pounds which expression can be used to determine the maximum take off weight in tons?

Answers

Answer:

910,000 ÷ 2,000

Step-by-step explanation:

1 ton = 2000 pounds

therefor divide pounds by 2000 to get tons

910,000 ÷ 2,000

A professor wants to estimate the average time it takes his students to finish a computer project. Based on previous evidence, he believes that the standard deviation is approximately 3.6 hours. He would like to be 96% confident that his estimate is within 5 hours of the true population mean. Use RStudio to determine how large of a sample size is required without rounding any interim calculations.

Answers

Answer:

A sample size of 3 is required.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.96}{2} = 0.02[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.02 = 0.98[/tex], so Z = 2.054.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Based on previous evidence, he believes that the standard deviation is approximately 3.6 hours.

This means that [tex]\sigma = 3.6[/tex]

He would like to be 96% confident that his estimate is within 5 hours of the true population mean. Use RStudio to determine how large of a sample size is required without rounding any interim calculations.

The sample size needed is of n, and n is found when M = 5. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]5 = 2.054\frac{3.6}{\sqrt{n}}[/tex]

[tex]5\sqrt{n} = 2.054*3.6[/tex]

[tex]\sqrt{n} = \frac{2.054*3.6}{5}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.054*3.6}{5})^2[/tex]

[tex]n = 2.19[/tex]

Rounding up:

A sample size of 3 is required.

The endpoints of a diameter are (-3,4) and (5,-2). What is the center of the circle?

Answers

(1,1) is the answer


Hope this helps!!

Lowest 15 percent is showing incorrect

Answers

Answer:

Ok, cool

Step-by-step explanation:

Write the following equation in the general form Ax + By + C = 0.

y - x - 1 = 0

2x - 3y + 6 = 0
2x - 3y - 6 = 0
-2x + 3y - 6 = 0

Answers

2*-3y-6

Step-by-step explanation:

Use a net to find the surface area of the cone
to the nearest square centimeter. Use 3.14 for
20 cm
TT.

Answers

Answer:

4444

Step-by-step explanation:

Answer:

819

Step-by-step explanation:

addinh jndenf,r fm,fd vm,fd  jngtjgntftb n

bm bm tm mt m

tmknmenmgv

etab

etbbbbbbehgeb

tbbbbbbbbbbb

Which function is continuous across its domain?

Answers

Answer:

B.

Step-by-step explanation:

a function is continuous, if the functional values are the same at the "connection" points of the various segments (and the segments themselves are continuous).

"continuous" simply means that the graph of the function is a continuous line without any "rips". it can have corners and such, but no "interruptions".

specifically it means : for every possible y value in the defined range of the function there is an x value that causes this y.

all defined segments are continuous functions.

so, let's look at

A. the first connection point is x=-2.

-2 + 6 = 0.5×(-2)²

4 = 0.5×4 = 2

4 = 2 is wrong. => here, at this point, the function "rips" apart and is not continuous.

B. x=-2

-2 + 4 = 0.5×(-2)²

2 = 2 is correct. continuous at this point.

second connection point x=4

0.5×4² = 20 - 3×4

0.5×16 = 20 - 12

8 = 8 is correct. continuous at this point

C. x=-2

-2 - 2 = 0.5×(-2)²

-4 = 2 is wrong. not continuous

D. x=-2

-2 + 4 = 0.5×(-2)²

2 = 2 is correct. continuous here.

now for x=4

4 + 4 = 25 - 3×4

8 = 25 - 12 = 13

8 = 13 is wrong. not continuous.

The function g is a transformation of f. If g has a y-intercept at 4, which of the following functions could represent g?
g(x) = f(x) - 2
g(x) = f(x + 2)
g(x) = f(x) + 4
O g(x) = f(x-4)

Answers

Answer:

g(x) = f(x) - 2

g(x) = f(x + 2)

Step-by-step explanation:

y-intercept of a function:

The y-intercept of a function is the value of y when x = 0.

Function f:

Graph given in this question

When [tex]x = 0, y = 6[/tex], so the y-intercept is 6.

Additionally, when [tex]x = -2, y = 4[/tex]

If g has a y-intercept at 4, which of the following functions could represent g?

Either we subtract 2 from f, that is:

[tex]g(x) = f(x) - 2[/tex]

Or we can also add 2 on the domain, that is, moving 2 units to the right, so:

[tex]g(x) = f(x+2)[/tex]

So the first two options are correct.

Answer:

the answer would be g(x)=f(x)-2

Step-by-step explanation:

i got it right

Given points (-3;-6), G(3; -2) and H(6; 1); determine:
(a) The equation of line FG

Answers

Answer:

The equation of line FG is [tex]y = \frac{2}{3}x - 4[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

F(-3;-6), G(3; -2)

When we have two points, the slope is given by the change in y divided by the change in x. So

Change in y : -2 - (-6) = -2 + 6 = 4

Change in x: 3 - (-3) = 3 + 3 = 6

Slope: [tex]m = \frac{4}{6} = \frac{2}{3}[/tex]

So

[tex]y = \frac{2}{3}x + b[/tex]

Finding b:

(3; -2) means that when [tex]x = 3, y = -2[/tex]. We use this to find b.

[tex]y = \frac{2}{3}x + b[/tex]

[tex]-2 = \frac{2}{3}(3) + b[/tex]

[tex]2 + b = -2[/tex]

[tex]b = -4[/tex]

The equation of line FG is [tex]y = \frac{2}{3}x - 4[/tex]

ANYONE KNOW THE ANSWER????

Answers

9514 1404 393

Answer:

  (c)  x = 10

Step-by-step explanation:

The diagonals of a square cross at right angles, so the measure of angle KNJ is 90°.

  90 = 10x -10

  100 = 10x . . . . . add 10

  10 = x . . . . . . . . divide by 10

The value of x is 10.

f(x)=|x-6| written as piecewise function

Answers

I’m not sure if this was what you wanted but I used an app to calculate it.

Write x(x+1)^2(x-5)/x(x+2)(x-5)^3 in simplest terms. Show your work

Answers

Answer: (x+1)^2(x-5)^4(x+2)

Step-by-step explanation: 1. Cancel x  (x+1)^2(x-5)(x+2)(x-5)^3

Use The product Rule: x^a x^b= x ^a+^b and your answer should be (x+1)^2(x-5)^4(x+2)

Simplify Expression
Answer (x+1)^2/(x+2)(x-5)^2


Cancel common factor of x
Rewrite expression
Factor
Cancel common factors …. It basically repeats !
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