How many distinguishable permutations are there for the word SCIENCE?

Answer:

(64^3)^(1/6)

=(64)^(3×1/6)

=(64)^(1/2)

=(8^2)^(1/2)

=(8)^(2×1/2)

=8^1

=8

8 is the correct answer of your question...

Answer:

8

Step-by-step explanation:

Remember the phrase "power to a power means to multiply the exponents"

That is, if you have a number (call it x) raised to a power (call it b), and that whole expression is raised to a power (call it c), it's the same as that number  x raised to the power of the product of those two powers.

[tex](x^a)^b = x^a^b[/tex]

Here's an example showing to give some intuition behind this (and a way to derive the above formula if you forget it):

[tex]x^3 = x*x*x\\(x^3)^2 = (x*x*x)^2 = x*x*x*x*x*x = x^6[/tex]

Or more simply,

[tex](x^3)^2 = x^(^3^*^2^) = x^6[/tex]

So in this case:

[tex](64^3)^\frac{1}{6} = 64^(^3^*^\frac{1}{6}^) = 64^\frac{1}{2} = 8[/tex] (remember a number raised the to the power of 1/2 is the square root of the number; in this case, the square root of 64 is 8)

Answer:

-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

-3 is correct, but why?

The reason is that the exponent 1/3 indicates a cube root and the cube root of -27 is -3.

[tex]x^\frac{1}{n}=\sqrt[n]{x}[/tex]

So [tex]x^\frac{1}{2}=\sqrt{x}[/tex]

[tex]x^\frac{1}{5}=\sqrt[5]{x}[/tex]

etc.

Answer:

b=-10

c=25

Step-by-step explanation:

if the only solution is 5 so

x^2+bx+c=(x-5)²=x²-10x+25

b=-10

c=25

Here's the Solution,

let's take :

now,

=》

[tex]d = \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} } [/tex]

=》

[tex]d = \sqrt{(3 - 7) {}^{2} + (2 - 5) {}^{2} } [/tex]

=》

[tex]d = \sqrt{( - 4) {}^{2} + ( - 3) {}^{2} } [/tex]

=》

[tex]d = \sqrt{16 + 9} [/tex]

=》

[tex]d = \sqrt{25} [/tex]

=》

[tex]d = 5[/tex]

So, distance between the points is 5 units

Answer:

10

0.1

100/9,11.111

1500

The sum of this series=11.11

A geometric series is the sum of an infinite number of terms with a constant ratio between them in mathematics.

Formula of infinite geometric sum

[tex]S=a1/1-r,(for lrl < 1)[/tex]

and given series

[tex]10 + 1 + 0.1 +0.01 +...[/tex]...

where

a=10 and r=0.1

by putting these values in above formula

[tex]S=10/(1-0.1)\\=11.11[/tex]

Hence the sum of given series= 11.11

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Answer:

C) 1,000 students

Step-by-step explanation:

Look at the bar graph and add up all the values less than 44,000.

:D

Answer:

5%

Step-by-step explanation:

36.10 + 1.90 = 38

1.9 / 38 = 0.05

0.05 x 100 = 5

Answer:

190

Step-by-step explanation:

its 170 because 380-170=190

Answer:

4

Step-by-step explanation:

3, 4, 4, 5, 6

Answer:

4

Step-by-step explanation:

Sort values from smallest to largest: 3, 4, 4, 5, 6  

Find the center index value:

(N) = 5

Center index = [tex]\frac{(N+1)}{2}[/tex]

Center index = 3

The median is the 3rd value, which is 4.

Hope that this helps!

Answer:

The hamster eats 1 cup a day I hope this helps

Step-by-step explanation:

Answer:

[tex]d = 16.55[/tex]

Step-by-step explanation:

Given

[tex]z_1 = -8 + 3i[/tex]

[tex]z_2 = 7 - 4i[/tex]

Required

The distance between them

First, calculate the difference (d) between z1 and z2

[tex]d = z_1 - z_2[/tex]

[tex]d = -8 + 3i - [7 - 4i][/tex]

Open bracket

[tex]d = -8 + 3i - 7 + 4i[/tex]

Collect like terms

[tex]d = -8 - 7+ 3i + 4i[/tex]

[tex]d = -15+ 7i[/tex]

Using modulus, we have:

[tex]d = \sqrt{R^2 + I^2}[/tex]

Where

R = Real Part = -15

I = Imaginary Part = 7

So, we have:

[tex]d = \sqrt{(-15)^2 + 7^2}[/tex]

[tex]d = \sqrt{225 + 49}[/tex]

[tex]d = \sqrt{274}[/tex]

[tex]d = 16.55[/tex]

Answer:

21,755.8

Step-by-step explanation:

To solve this equation, we must first find 407% of 60.

To do this, place the percent over 100 (fraction form), then, multiply it by the number you're finding the percentage of.

407/100 x 60/1 = 24,420/100

24420 / 100 = 244.2

244.2 is 407% of 60.

Lastly, you subtract 244.2 from 22,000.

22,000 - 244.2 = 21,755.8

Answer:

21755.8

Step-by-step explanation:

407%=4.07

4.07*60=244.2

22,000-244.2=21755.8

Answer:

(-8)(-9)(-3)= -216

Step-by-step explanation:

-8 x -9 x -3 = -216

Answer

24*108=x

Step-by-step explanation:

Lets say x is the total amount. and you need to find it for 24 and 85+23= 108 dollars. and so you multiplay 108 with 24. hope it helped

Answer:

38 square feet. in return please subscribe to Amiredagoat Yt.

Step-by-step explanation:

If 50 square feet make up Alicia's garden. She plants a part of tomatoes within her garden that is 3 feet by 4 feet. She has 38 additional feet of room in her garden to grow various kinds of vegetables.

It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral. The area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

It is given that, Alicia's garden is 50 square feet. inside her garden, she plants a section of tomatoes that is 3 feet by 4 feet

In daily life, area and perimeter are used for a variety of purposes, including determining a home's floor area, a footpath's circumference, a wire fence around a park, etc.

Area of Alicia's garden = 50 square feet

Area of a section of tomatoes that is 3 feet by 4 feet,

A=4 × 3

A=12 sq feet

The spaces she has left in her garden to plant other crops is,

=50 - 12

=38 square feet

Thus, if 50 square feet make up Alicia's garden. She plants a part of tomatoes within her garden that is 3 feet by 4 feet. She has 38 additional feet of room in her garden to grow various kinds of vegetables.

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Answer:

3 bird HAHAHAH sana makatulong

Answer:

From point A to point B is x= -7 y= -4

From point B to point C is x= 6 y=-5

Step-by-step explanation:

I think it's kinda hard to see

Answer:

Are u guys solving for k?

Step-by-step explanation:

Answer:

i think A. 6 in

Step-by-step explanation:

because the lenght is diagram 3

Answer:

Where is the pic

Step-by-step explanation:

Answer:

The general rule is [tex]a_n = -2 - 5(n-1)[/tex]

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.

The general rule of an arithmetic sequence is given by:

[tex]a_{n} = a_1 + (n-1)d[/tex]

In which [tex]a_1[/tex] is the first term and d is the common difference.

We can also find the nth term as a function of a term m, using:

[tex]a_n = a_m + (n-m)d[/tex]

a3 = -12 and a8 = -37

First we find the common difference. So

[tex]a_n = a_m + (n-m)d[/tex]

[tex]a_8 = a_3 + (8-3)d[/tex]

[tex]-37 = -12 + 5d[/tex]

[tex]5d = -25[/tex]

[tex]d = -\frac{25}{5}[/tex]

[tex]d = -5[/tex]

So

[tex]a_n = a_1 - 5(n-1)[/tex]

Finding the first term:

[tex]a_n = a_1 - 5(n-1)[/tex]

Since [tex]a_3 = -12[/tex]

[tex]a_n = a_1 - 5(n-1)[/tex]

[tex]a_3 = a_1 - 5(3-1)[/tex]

[tex]a_1 = a_3 + 10 = -12 + 10 = -2[/tex]

So the general rule is:

[tex]a_n = a_1 - 5(n-1)[/tex]

[tex]a_n = -2 - 5(n-1)[/tex]

Answer:

I uploaded a file hosting for your question!

Here’s the answer:

bít.ly/idonotscampeople

Step-by-step explanation:

[tex]\frac{9}{11} =\frac{x}{22}[/tex]

[tex]11x=198[/tex]

[tex]x=18[/tex]

Answer:

18 is the answer of the question

Answer:

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

Step-by-step explanation:

1. the requred slope can be calculated using the formula:

[tex]slope=\frac{|y_1-y_2|}{|x_2-x_1|};[/tex]

2. according to the formula above:

slope=(23-3)/(18-3)=20/15=4/3

Answer:

710

Step-by-step explanation:

Detailed Answer: The fraction 710 is already in the simplest form, so it isn't possible to reduce it any further.

Answer:

The answer is D. y-10=2(x-1)

Step-by-step explanation:

[tex]y-y_{1}=m(x-x_{1})[/tex]

First, find the slope from the two points:

m=(10-2)/(1+3)=2

let [tex]y_{1}=10 and x_{1}=1[/tex]

thus, y-10=2(x-1)

Answer:

h = 14 units

Step-by-step explanation:

area of parallelogram = bh

plug everything in: 84 = (6)h

h = 84/6 = 14

Answer:

Independent variable (x in 2D cartesian) = t (time)

Dependent variable (y in 2D cartesian) = p (battery power)

The independent variable is time.

The dependent variable is battery power.

Time is independent because it cannot be controlled.

Battery power is dependent because it can be controlled.

Since t is in hours,

The battery power begins at 100% and decreases 5% each hour.

The type of counting problem is combination with repetition.

One of the several ways of choosing items from a large set of objects, without considering an order is termed as Combination.

As johnny  use a lot of condiments.

His mother tells him he may only make two additions to his meal.

He can add 2 condiments only twice, whether he already use them or not.

So, here we will use combination with repetition  because here same condiments can be added twice that is two times.

So, in how many different ways can johnny improve his meal can be determined by combination with repetition.

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Answer:

10

Step-by-step explanation: