Using complete sentences, describe how the variable h and the variable k of the general formula for a cube root function effects the graph. The general formula is y=a^3√ x-h+k

Answer:

1093

Explanation:

Given expression:

Summation:

Formula:

Compute:

[tex]\rightarrow \sf 3^0 + 3^1 + 3^2 + 3^3 + 3^4 + 3^5 + 3^6[/tex]

[tex]\rightarrow \sf 1 + 3 + 9 + 27 + 81 + 243 + 729[/tex]

[tex]\rightarrow \sf 1093[/tex]

Answer:

[tex] \boxed{\rm \: SUM = 1093 }[/tex]

Step-by-step explanation:

Given:

[tex] \huge\rm {{ \sum}^6_{n=0\:} (3)^n}[/tex]

To Find:

Sum of the given finite series

Solution:

We'll use this formula:

[tex] \boxed{\rm SUM = a \cdot\bigg( \cfrac{1 - r {}^{n} }{1 - r} \bigg)}[/tex]

where,

Let's find out the ratio R by using this formulae:

[tex] \rm \: r = \cfrac{a_{n + 1} }{a_n}[/tex]

According to the question,

Substitute:

[tex] \rm \: r = \cfrac{3 {}^{n + 1} }{3 {}^{n} } [/tex]

Apply law of exponents:[a^m/a^n] = a^m-n

[tex] \rm \: r = {3}^{n + 1 - n} [/tex]

Rearrange it as:

[tex] \rm \: r = 3 {}^{n - n + 1} [/tex]

[tex] \rm \: r = 3 {}^{1} = 3[/tex]

So,the ratio R is 3.

Now let's find out the First term A.

To find, substitute the value of n in 3^n:

[tex] \rm \: a = 3 {}^{0} [/tex]

[tex] \rm \: a = 1[/tex]

Hence, first term A is 1.

NOW Substitute the value of the first term A and ratio R onto the formulae of sum:

[tex] \rm \: a \cdot\bigg( \cfrac{1 - r {}^{n} }{1 - r} \bigg)[/tex]

Simplify.

[tex] \rm SUM = \rm \: 1 \times \cfrac{1 - 3 {}^{7} }{ 1 - 1 \times 3} [/tex]

[tex] \rm \: SUM = \cfrac{ - 2186}{1 - 3} [/tex]

[tex] \rm \: SUM = \cfrac{ \cancel{ - 2186} \: \: {}^{1093} }{ \cancel{ - 2} \: \: ^{1} } [/tex]

[tex] \rm \: SUM = 1093[/tex]

We're done!

Hence, the sum of the given Finite series is 1093.

[tex] \rule{225pt}{2pt}[/tex]

Answer:

Here you go!

Step-by-step explanation:

Do tell if it still seems difficult.

:)

Answer:

8 ≤ x

Step-by-step explanation:

6(2 − 6x) ≤ 4 − 35x

Expand bracket;

12 - 36x ≤ 4 − 35x

Add 36x to both sides to get;

12 ≤ 4 + x

Subtract 4 from both sides to get;

8 ≤ x

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to solve the inequality 6(2-6x)≤4-35x.

[tex]\triangle~\fbox{\bf{KEY:}}\star[/tex]

First, we can use the distributive property and distribute 6:

[tex]\star\large\pmb{12-36x\leq4-35x}[/tex]

Now, add 35x to both sides:

[tex]\star\large\pmb{12-x\leq 4}[/tex]

And now, subtract 12 from both sides:

[tex]\star\large\pmb{-x\leq-8}[/tex]

Divide both sides by -1 and watch what happens:

[tex]\star\large\pmb{x\geq 8}[/tex]

Have you noticed that the inequality sign changed from "less than" to "greater than"?

Well, that happened because we divided both sides by a negative number, -1.

Thus, [tex]\star~\large\pmb{x\geq 8}[/tex]

Hope this helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

[tex]\pmb{M^ar_ib^el\:P^eri}[/tex]

Answer:

Hi,

Step-by-step explanation:

Answer B : 51

1+4+7+10+13+16=51

The sound wave with a frequency of 20 waves/sec is 800 longer than the wavelength of a sound wave with a frequency of 16,000 waves/sec

From the question, we are to determine how many times longer is the first sound wave compared to the second sound water

Using the formula,

v = fλ

∴ λ = v/f

Where v is the velocity

f is the frequency

and λ is the wavelength

For the first wave

f = 20 waves/sec

Then,

λ₁ = v/20

For the second wave

f = 16,000 waves/sec

λ₂ = v/16000

Then,

The factor by which the first sound wave is longer than the second sound wave is

λ₁/ λ₂ = (v/20) ÷( v/16000)

= (v/20) × 16000/v)

= 16000/20

= 800

Hence, the sound wave with a frequency of 20 waves/sec is 800 longer than the wavelength of a sound wave with a frequency of 16,000 waves/sec

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The intital amount deposited was  $18485.82.

If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

An account has $26,000 after 15 years. The account received 2.3 percent interest compounded continuously.

A = 26000

R = 0.02.3

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

[tex]26000 = p(1 + \dfrac{2.3}{100})^{15}\\\\26000 = p \times 1.4064\\\\\P= 18485.82[/tex]

Therefore, the intital amount deposited was  $18485.82.

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Answer:

x = 2

y = -1

Step-by-step explanation:

You can add together the equations so the x term cancels out:

  -3x + 5y = -11

+ (3x + 7y = -1)

The -3x and 3x cancel out, 5y and 7y add to 12y, and -11 and -1 add to -12:

12y = -12

Divide by 12 on both sides to get

y = -1

We can substitute this value into one of the equations to solve for x:

3x + 7y = -1

3x +7(-1) = -1

3x - 7 = -1

3x = 6

x = 2

Answer:

480

Step-by-step explanation:

We will use the order of PEMDAS. First, everything in parenthesis must be completed. Since 6x4 is in parenthesis, we multiply it and get 24.
Since we now have 20(24). We can multiply them by each other.
A trick to do this manually is to notice that 20 is 10 x 2, meaning that in reality this equation is 10 x 2 x 24. Multiply 2 x 24 = 48, and 48 x 10 = 480.

Answer:

1 ,2,3,4,5,6,7,9,10,11,12 is the union

Answer:

A U B = {1,2,3,4,5,6,7,9,10,11,12}

Step-by-step explanation:

Union of sets is a set containing all elements that are in A or  B.

A = {1,3,4,5,9,10,11}

B= {2,4,6,7,11,12}

A U B = {1,2,3,4,5,6,7,9,10,11,12}

Answer:

$11.12

Step-by-step explanation:

Since the sale is 25% and the shoe was originally priced at $45; you can find the price of the sandal on sale by knowing that 25% means 1/4, so you can just find 1/4 of 45 which is 11.12. 45 * 1/4

Answer:

C. $33.75

Step-by-step explanation:

I took the test

Answer:

D

Step-by-step explanation:

[tex]12^{-2} \times 4^3\\\\=(4 \times 3)^{-2} \times 4^3\\\\=4^{-2} \times 4^3 \times 3^{-2}\\\\=4^{-2+3} \times 3^{-2}\\\\=4^1 \times \dfrac1{3^2}\\\\=\dfrac 49[/tex]

Answer:

congruent.

Step-by-step explanation:

each side and each angle in one polygon is paired with a side or angle in the second polygon .

hope this helps

Answer:

g(-3)= 26

Step-by-step explanation:

g(x)= 3x² - 1

g(-3) means use -3 for x in the given equation.

g(-3)= 3(-3)² - 1

g(-3)= 3(9) - 1

g(-3)= 27 - 1

g(-3)= 26

Answer:

n = 3

Step-by-step explanation:

there are 80 people in choir

half are women , that is 40

quarter of number of women are men , that is 10

number of children = 80 - 40 - 10 = 80 - 50 = 30

number of children : number of men = 30 : 10 ( divide both parts by 10 )

children : men = 30 : 10 = 3 : 1 ← in simplest form

with n = 3

Answer:

30

Step-by-step explanation:

=> number of people in the choir = 80

=> number of women in the choir =  half the total people = 80/2 = 40

=> number of men in the choir = one quarter of the number of women =

   (1/4)*40 = 40/4 = 10

=> for the number of children,

    we subtract the sum of number of men and women from the total            

    people  = 80 - (40+10)      =        80 - 50 = 30

           number of children = 30

hope this helps :)

Answer:

Because the part is missing, this is a subtraction problem. Example: There are 98 hats, 20 of them are pink and the rest are yellow.

Step-by-step explanation:

The average fraction of the students in the two classes is 17/20.

A fraction is a ratio of two integers called the numerator and denominator.

Analysis:

sum of the fraction of both students in the two classes = 4/5 + 9/10 =

LCM of the denominators which are 5 and 10 is 10

  so the sum of both fractions = 8/10 + 9/10 = 17/10

The average = 17/10 /2 = 17/10 x 2 = 17/20

In conclusion, the average of the fraction of students on both classes is 17/20.

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Answer:

6 cups

Step-by-step explanation:

hope this helps!

The volume of the three-dimensional object (cone) formed is equal to 32π cubic units.

In this scenario, the effect of rotating the right triangle around line segment AB would form a three-dimensional object known as a cone, with the following dimensions:

Mathematically, the volume of a cone can be calculated by using this formula:

V = 1/3 × πr²h

Substituting the given parameters into the formula, we have;

V = 1/3 × π × 4² × 6

V = π × 16 × 2

V = 32π cubic units.

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Complete Question:

In the diagram below, right triangle ABC has legs whose lengths are 4 and 6. What is the volume of the three-dimensional object formed by continuously rotating the right triangle around line segment AB?

(1) 32π

(2) 48π

(3) 96π

(4) 144π

Hope this was helpful..

Answer:

151,000

Step-by-step explanation:

1.14×105=119.7

151,000

Answer:

B

Step-by-step explanation:

Answer:

3,1

....................................

Answer: hmmm, all i could say it is 2,2 function, you have to calculete the other parts yourself.

Step-by-step explanation:

Answer:

b = 9

Step-by-step explanation:

All the steps are correct. This final step in finding the value of "b" is to take the square root of both sides. This gets rid of the power that "b" is raised to. Once you do this, you are just left with the variable and the answer of 9.

b² = 81

√b² =√81

b = 9

Answer:

y = -3x+4

Step-by-step explanation:

The slope intercept form of a line is given by

y = mx+b  where m is the slope and b is the y intercept

y = -3x+4

Step-by-step explanation:

We have,

We know that,

y = mx+c

y = -3x+4

Hence, option (D) is correct.

Answer:

A,B,C,J,K,M

A=B,L is parallel to K

C=J

Answer:

Describe the middle class of Central America. Mention jobs, homes, and education.ury

Step-by-step explanation: