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Answer:

Please check the explanation.

Step-by-step explanation:

a)

A sequence is defined by the term-to-term rule such as

[tex]U_{n+1}=U^3_n+2[/tex]

Given that

[tex]U_0=-3[/tex]

Substituting n = 0 to determine u₁

[tex]U_{0+1}=U^3_0+2[/tex]

[tex]U_1=U^3_0+2[/tex]

substituting [tex]U_0=-3[/tex]

[tex]U_1=\left(-3\right)^3+2[/tex]

[tex]U_1=-27+2[/tex]

[tex]U_1=-25[/tex]

Therefore,

b)

[tex]U_{n+1}=U^3_n+2[/tex]

Substituting n = 1 to determine u₂

[tex]\:U_{1+1}=U^3_1+2[/tex]

substituting [tex]U_1=-25[/tex]

[tex]U_2=\left(-25\right)^3+2[/tex]

[tex]U_2=-15625+2[/tex]

[tex]U_2=-15623[/tex]

Therefore,

[tex]U_2=-15623[/tex]

Answer: yes it is proportional

Step-by-step explanation:

I did it on khan

Answer:

Standard Form:

[tex]y = {x}^{3} - 3 {x}^{2} + 3x - 4[/tex]

Another Form:

[tex]y = (x - 1)^{3} - 3[/tex]

Step-by-step explanation:

The type of graph or function is called Cubic Function

The type of graph is represented by the equation of y = a(x-h)³+k

Thus our equation for the graph is

[tex]y = {(x - 1)}^{ 3} - 3[/tex]

In case if you want standard form.

Simplify the expression.

[tex](x - y)^{3} = {x}^{3} - 3 {x}^{2} y + 3x {y}^{2} - {y}^{3} [/tex]

[tex]y ={x}^{3} - 3 {x}^{2} + 3x - 1 - 3 \\ y = {x}^{3} - 3 {x}^{2} + 3x - 4[/tex]

Answer:

-21

Step-by-step explanation:

after -22 there comes-21 so successor of-22 is -21

Answer:

m = 12h

Step-by-step explanation:

Since Bill charges $12 per hour, it implies for every hour he charges $12. Therefore, the amount of money he makes, m, is dependent on the number of hours he works, h. The higher the number of hours, the more his money. And vice versa.

So that;

m = 12h

Thus if Bill works for 6 hours, his amount of money would be;

m = 12 (6)

   = 72

m = $72

Bill would make $72 after working for 6 hours.

Step-by-step explanation:

annapurna suppliers to sagarmatha suppliers ,

SP = (100+10)%of 497200

=110/100 * 497200

SP = RS. 546920

VAT 1 = 13% OF 546920

= RS. 71099.6

SAGARMATHA SUPPLIERS TO CONSTRUCTOR,

CP=RS.546920

TC=RS.10000

PROFIT =RS. 30000

LT =RS. 20000

SP = RS. 60000

VAT=13%

VAT 2 = 13% OF 60000

= RS. 7800

final price with VAT = 7800+ 546920+71099.6

=RS. 625819.6

Final cost is 36463.6 and VAT end profit is 3646.36.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given

Material cost = 497200

10% profit = [tex]\frac{10}{100}[/tex] × 497200

= 49720

13% VAT = [tex]\frac{13}{100}[/tex] × 49720

= 6463.6

Hence, Final cost  = 6463.6 + 10000 + 20000

= 36463.6

VAT end profit = [tex]\frac{10}{100}[/tex] × 36463.6

= 3646.36

Hence, Final cost is 36463.6 and VAT end profit is 3646.36.

Find out more information about percentage here

https://brainly.com/question/24159063

#SPJ3

Answer:

188 yards

Step-by-step explanation:

Given

Length of one balloon = 12 feet

Since 1 foot = 1/3 yards

12 feet = x

Cross multiply

1 * x = 1/3 * 12

x = 12/3

x = 4 yards

Hence one balloon will be 4 yards long.

If one balloon = 4 yards long

47 balloons = y

Cross multiply;

1 * y = 4 * 47

y = 188yards

Therefore Cesar will need 188 yards of string for 47 ballooons

Answer:

D(-7,-2)

Step-by-step explanation:

A(-4,3)  B(5,-1)  C(-2,-6)    D(-7,-2)

A: 5×(-4) + 6×3 = -2 ≥ -30 ..... No

B: 2/3×5 + 1 =4.33 ≥ -1 ....No

C:  -6 ≤ 2/3×-2 +1 ....No

D: 2/3×(-7)+1 = 2.333 ≤ -2

    5×(-7) + 6×(-2) = -47 ≤ -30 ......Yes

Answer:

DEMANDE  A  TON PERE LE CHAUVE PETIT ZGUEGUE

Step-by-step explanation:

Answer:

Should be the third one

Step-by-step explanation:

6(5+7)

5+7=12

6×12=72 |•-•|

Answer: I think it’s the 3rd one.

Step-by-step explanation:

6(5+7)

5+7=12

6×12=72

Hope it helps, have a great day!

Answer:

400 lira

Step-by-step explanation:

Yukarıdaki sorudan şunu söyleriz: Bir satıcı, sattığı her ürün için satış fiyatının 2 / 9'u kadar kar eder.

Dolayısıyla 1800 liraya televizyon satarsa ​​o televizyondan elde ettiği kâr şöyle hesaplanır:

2/9 × 1800 lira

= 400 lira

Answer:

graph c

Step-by-step explanation:

Given

| - 2x | = 4

The absolute value function always gives a positive result, however, the expression inside can be positive or negative , that is

- 2x = 4 or - (- 2x) = 4

Solving both

- 2x = 4 ( divide both sides by - 2 )

x = - 2

or

- (- 2x) = 4

2x = 4 ( divide both sides by 2 )

x = 2

The third graph indicates x = - 2 and x = 2 on the number line

Answer:

d = 10units

Step-by-step explanation:

The question is incomplete. Find the complete question attached

The formula for calculating the distance between two points is expressed by the formula;

d = √(x₂-x₁)²+(y₂-y₁)²

Given the coordinate points (-4, 2) and (4, -4)

d = √(4-(-4))²+(-4-2)²

d = √(4+4)²+(-6)²

d = √(8)²+(-6)²

d = √64+36

d = √100

d = 10

Hence the distance between the points DE is 10units

This question is incomplete

Complete Question:

The trail around Mirror Lake in Yosemite National Park is 5 miles long.

The tables below show the fraction of miles each hiked:

Hiker Fraction of miles hiked

Andrea 2/5

Jon 1/2

Callie 4/5

9. What fraction describes how much more of the trail Jon hiked than Andrea hiked?

10. What fraction describes how much more of the trail Callie hiked than Jon hiked?

Answer:

9. 1/10

10. 3/10

Step-by-step explanation:

9. What fraction describes how much more of the trail Jon hiked than Andrea hiked?

This is calculated as the number of miles Jon hiked - The number of miles Andrea hiked

1/2 - 2/5

= The Lowest Common Denominator is 10

= [(5 × 1) - (2 × 2)] /10

= [5 - 4] /10

= 1/10

The fraction that describes how much more of the trail Jon hiked than Andrea hiked is 1/10

10. What fraction describes how much more of the trail Callie hiked than Jon hiked?

This is calculated as the number of miles Callie hiked - The number of miles Jon hiked

4/5 - 1/2

= The Lowest Common Denominator is 10

= [(4 × 2) - (1 × 5)] /10

= [8 - 5] /10

= 3/10

The fraction describes how much more of the trail Callie hiked than Jon hiked is 3/10

Answer:

Oxygen gas causes a glowing splint to continue burning. If you observe a gas forming, test for its identity by inserting a glowing wood splint into the mouth of the test tube. Light the splint and then blow out the flame, leaving a glow.

Answer:

The population will be 39400 in approximately 17 years

Step-by-step explanation:

The increase in population after t years is given by the formula

[tex]P_t = P_0(1+r)^t[/tex]

Here

P_0 is the initial population

r is the growth rate and t is time in years

So far we know,

P_0 = 20000

r = 4%

P_t = 39400

Putting the values in the formula

[tex]39400 = 20000(1+0.04)^t\\39400 =20000(1.04)^t\\\frac{39400}{20000} = (1.04)^t\\1.97 = (1.04)^t[/tex]

Taking natural log on both sides

[tex]ln |(1.04)^t| = ln |1.97|\\t\ ln\ |1.04| = ln\ |1.97|\\t = \frac{ln\ 1.97}{ln\ 1.04}\\t = 17.287\\t \approx 17[/tex]

Hence,

The population will be 39400 in approximately 17 years

Answer:

y = - 0.05x - 1.9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

y = 20x ← is in slope- intercept form

with slope m = 20

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{20}[/tex] = - 0.05 , thus

y = - 0.05x + b ← is the partial equation

To find b substitute (2, - 2) into the partial equation

- 2 = - 0.1 + b ⇒ b = - 2 + 0.1 = - 1.9

y = - 0.05x - 1.9 ← equation of perpendicular line

Answer:

She went a total of 5/6 of a mile around the track

Step-by-step explanation:

Here, we want to calculate the distance around the track travelled

From the question, we are told that she ran 9/12 of a mile and skipped 1/12

So the total distance covered will be;

9/12 + 1/12 = 10/12 = 5/6

Answer:

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Answer:

Monique made an error when writing the factored expression

Step-by-step explanation:

Monique's work:

Factors of 4x: 1, 2, 4, x

Factors of 16xy: 1, 2, 4, 8, 16, x, y

GCF: 4x

Factored expression: 4 x (0 + 4 y)

Correct working:

Factors of 4x: 1, 2, 4, x

Factors of 16xy: 1, 2, 4, 8, 16, x, y

GCF: 4x

Factored expression: 4 x (1 + 4 y)

Therefore, Monique made an error when writing the factored expression

Check:

4x(1 + 4y)

Opening bracket

4x + 16xy

The answer is D the guy above me corretc

Answer:

5.8/8=0.725

Rounded number: 0.7

Step-by-step explanation:

Estimate 6/8=0.75

6 because 5.8 rounded to a whole number=6

Answer:

c)

Step-by-step explanation:

x - 2 ---------------> members in the band with the absentees.

So, x will give the number of members in the band

Answer:

Option C

Step-by-step explanation:

Locate the two points on the graph

Answer

ok the correct answer is c

Step-by-step explanation:

its the only answer that has points on the graph

ur welcome;)

Answer:

[tex]x^6-88x^4-142x^3+1695x^2+2350x-9000[/tex]

Step-by-step explanation:

In order to solve this function, we must first start by writting the factors of the polynomial. We can do so by including the given zeros, and the leading coefficient. So we get:

[tex]f(x)=1(x-4)(x-2)(x-9)(x+5)^{3}[/tex]

and now we can expand this by multiplying the given parenthesis, so we get:

[tex]f(x)=(x^2-2x-4x+8)(x-9)(x^3+3(5)x^{2}+3(25)x+125)[/tex]

[tex]f(x)=(x^2-6x+8)(x-9)(x^3+15x^{2}+75x+125)[/tex]

[tex]f(x)=(x^3-9x^2-6x^2+54x+8x-72)(x^3+15x^{2}+75x+125)[/tex]

[tex]f(x)=(x^3-15x^2+62x-72)(x^3+15x^{2}+75x+125)[/tex]

[tex]f(x)=x^6+15x^5+75x^4+125x^3-15x^5-225x^4-1125x^3-1875x^2+62x^4+930x^3+4650x^2+7750x-72x^3-1080x^2-5400x-9000[/tex]

we combine like terms so we get:

[tex]x^6-88x^4-142x^3+1695x^2+2350x-9000[/tex]

Answer:

29 feet for second ladder

Step-by-step explanation: I dont think first is possibe(decimals), second 21 square+ 20 square= 441+200=881, root of 881 is 29.

Answer:

As this is a right angled triangle, simply find the hypotenuse

Step-by-step explanation:

We know that the square of hypotenuse is equal to the sum of the square of the other two sides

In formula > h²=a²+b²

We know the values of a and b.

Now simply put the values into the equation to find the answer :)

For 1,  h²= 25² + 10²

h² = 625 + 100

=725

h=√(725)

=26.92 feet

Therefore height of ladder = 26.92 feet

For 2,

h²= 21²+20²

h²=441 + 400

h² = 841

h = √841

h = 29 feet

Heigh of ladder = 29 feet

Answer:

257.143 Euros/kg

Step-by-step explanation:

Esto se calcula como:

700 kg = 180.000 euros

1 kg = x euros

Cruz multiplicar

700 kg × x = 180.000 euros × 1

x = 180.000 euros / 700 kg

x = 257,14285714 Euros / kg

x = 257.143 Euros / kg

El precio por kilogramo de este tramo de la Torre Eiffel es de 257.143 Euros / kg

Given:

The product of a particular number is 65.

Second value is given by the sum of 8 and the original number.

To find:

The unknown number.

Solution:

Let x be the unknown number.

Then, second number = x+8

The product of a particular number is 65.

[tex]x\times (x+8)=65[/tex]

[tex]x^2+8x=65[/tex]

[tex]x^2+8x-65=0[/tex]

Splitting the middle term, we get

[tex]x^2+13x-5x-65=0[/tex]

[tex]x(x+13)-5(x+13)=0[/tex]

[tex](x-5)(x+13)=0[/tex]

Using zero product property, we get

[tex]x-5=0[/tex] and [tex]x+13=0[/tex]

[tex]x=5[/tex] and [tex]x=-13[/tex]

So, the unknown number is either 5 or -13.

Therefore, the correct option is B.

Answer:

A linear pair is a adjacent angles formed when two lines

interset.