Which expression is equivalent to a^7

Answer:

15 hours

Step-by-step explanation:

1vat/6hours - 1vat/10hours = 1vat/xhours

1/6 - 1/10 = 1/x

Use common denominator of 30

5/30 - 3/30 = 1/x

2/30 = 1/x

1/15 = 1/x

Cross multiply

x = 15 hours

[tex] \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ [/tex]

[tex] \sf \: p(y) = 2 + y + 2y {}^{2} - y {}^{3} [/tex]

[tex] \sf \: p(o) = 2 + (o) + 2(o) {}^{2} - (o) {}^{3} = 2 + 0 + 0 - 0 = 2 [/tex]

[tex] \sf \: p(1) = 2 + (1) + 2(1) {}^{2} - 1 {}^{3} = 2 + 1 + 2 - 1 = 4 [/tex]

[tex] \sf \: p(2) = 2 + 2 + 2(2) {}^{2} - 2 {}^{3} = 4 + 8 - 8 = 4 [/tex]

Answer:

angle 2 is 92 degree

Step-by-step explanation:

-8x + 144 = 2x + 74 (being alternate exterior angles)

-8x - 2x = 74 - 144

-10x = -70

x = -70/-10

x = 7 degree

2x + 74 + angle 2 = 180 degree (being linear pair)

2*7 + 74 + angle 2 = 180

14 + 74 + angle 2 = 180

88 + angle 2 = 180

angle 2 = 180 - 88

angle 2 = 92 degree

Answer:

92

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Answer:

4 liters of engine oil

Step-by-step explanation:

petrol : engine oil

        5:2

      10:?

we notice that if we double 5:2 becomes 10:4 so the missing part of engine oil is 4.

Answer:

6

Step-by-step explanation:

Basically do

2^3 -3*2+4.

and that is the last line of the function since x is greater or equal to 2.

if you are confused, I replaced x with 2 since it was h(x) and it became h(2)

2^3 = 8

8-3*2+4

-3*2 = -6

8-6+4

8-6 =2

2+4 = 6

Answer:

[tex]16 {x}^{2} + 24xy + 9 {y}^{2} [/tex]

Step-by-step explanation:

U can reduce this into

[tex](4x + 3y) {}^{2} [/tex]

Which is a square.

Now,

16x^2 + 24xy + 9y^2

16x^2 + 12xy + 12xy + 9y^2

4x ( 4x + 3y ) + 3y ( 4x + 3y )

( 4x + 3y ) ( 4x + 3y )

( 4x + 3y )^2

I hope you understand...

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Answer:

n = -1

Step-by-step explanation:

n^2 + 5n + 1 = 3n

N^2 +2n +1 = 0       (subtract 3n from both sides)

(n+1)(n+1) = 0   (factor

n+1 =0; n= -1

n+1 = 0  ; n=-1

Answer:

A = 286 episodes

B = 284 episodes

Step-by-step explanation:

Let n = the [tex]\text{number of episodes}[/tex] of show B

    n + 2 = the [tex]\text{number of episodes}[/tex] of show A

Therefore, according to the question,

The sum of the number of the episodes of each show are consecutive even integers  = 570

Therefore,

n + n + 2 = 570

2n + 2 = 570

2n = 568

n = 284

Therefore, the number of episodes for B = 284

The number of episodes for A = n + 2 = 284 + 2

                                                              = 286

Answer:

a)

52,500 persons

b)

Assuming that a single person occupies 4 square feet of space.

Use the following formula to calculate the Numbers o person occupies the Grand Central Station in New York City

Numbers of person occupies the Grand Central Station in New York City = Total Space of Grand Central Station in New York City / Space occupied by each person

Where

Total Space of Grand Central Station in New York City = 210,000 square feet

Space occupied by each person = 4 squaure feet

Placing values in the formula

Numbers of person occupies the Grand Central Station in New York City = 210,000 square feet / 4 square feet per person

Numbers of person occupies the Grand Central Station in New York City = 52,500 persons

c)

1.3125%

d)

Use the following formula to calculate the percentage of people that could be sheltered in the station

Percentage of people shelter in the station = ( Numbers of person occupies the Grand Central Station in New York City / Total population in Manhattan ) x 100

Where

Numbers of person occupies the Grand Central Station in New York City = 52,500 persons

Total population in Manhattan = 4,000,000 persons

Placing values in the formula

Percentage of people shelter in the station = ( 52,500 / 4,000,000 ) x 100 = 0.013125 = 1.3125%

The number of persons will be "105,000 persons" and the percentage of 4 million that could be sheltered in the station will be "2.625%".

Given:

Total area,

Total persons,

(a)

→ [tex]Number \ of \ persons (N) = \frac{A}{Area \ covered \ by \ one \ person}[/tex]

By substituting the values, we get

                                         [tex]= \frac{210000}{2}[/tex]

                                         [tex]= 105000 \ per \ share[/tex]

(b)

This approximation comes from dividing a large or overall area by something like a portion of one individual.

(c)

→ [tex]Percentage \ share = \frac{N}{N_t}\times 100[/tex]

By substituting the values, we get

                                [tex]= \frac{10500000}{4\times 10^6}[/tex]

                                [tex]= 2.625[/tex] (%)

(d)

Using the method above that, the proportion of people throughout the living room will be calculated.

Thus the above response in appropriate.

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Answer:

Joey will use 6 bowls.

Step-by-step explanation:

We have to divide to solve.

What is [tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{9}[/tex] ?

When you divide fractions you just multiply by the reciprocal (the fraction flipped.)

[tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{9}[/tex] = [tex]\frac{2}{3}[/tex] × [tex]\frac{9}{1}[/tex]

[tex]\frac{2}{3}[/tex] × [tex]\frac{9}{1}[/tex] = [tex]\frac{18}{3}[/tex]

[tex]\frac{18}{3}[/tex] = 6

Joey will use 6 bowls.

9514 1404 393

Answer:

  D'(3.5, 1)

Step-by-step explanation:

Use the given translation formula.

  (x, y) → (x +6, y -4)

  D(-2.5, 5) → D'(-2.5 +6, 5 -4) = D'(3.5, 1)

Answer:

d

Step-by-step explanation:

trust

Answer:

y means that the schedule your online Hindi

9514 1404 393

Answer:

  (x, y) = (1, -3)

Step-by-step explanation:

The x-term has a coefficient of 1 in the first equation, making it easy to write and expression that can be substituted for x:

  x = -3y -8

Using this in the second equation, we have ...

  4(-3y -8) -3y = 13

  -15y -32 = 13

  -45 = 15y

  -3 = y

Then the value of x is ...

  x = -3(-3) -8 = 1

The solution is (x, y) = (1, -3).

Answer:

X= 24º

Explanation:

A straight line is 180º so, 180º - 151º = 29º - 5º = 24º

Answer:

1. The first set of number is

1,2,3,4,5

Mean= 1+2+3+4+5/5

= 15/5

= 3

Median= 3

Mode= N/A

The next set of numbers is

2,3,4,5,6,6

Mean= 2+3+4+5+6+6/6

= 26/6

= 4.3

Median=4+5/2

= 9/2

= 4.5

Mode= 6

The next set of number is

6,7,5,4,5,6,2,5

Mean= 2+4+5+5+5+6+6+7/8

= 40/8

= 5

Median= 5+5/2

= 10/2

= 5

Mode= 5

The correct option is polygon E.

A polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.

Given that, Which polygons have at least one pair of parallel sides but are not parallelograms,

Such polygons are called trapezoid.

A trapezoid, also known as a trapezium, is a flat-closed shape having 4 straight sides, with one pair of parallel sides.

Hence, the correct polygon is E.

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9514 1404 393

Answer:

  {10, 12}

Step-by-step explanation:

The inequality can be simplified to ...

  2n -3 > 15 . . . . given

  2n > 18 . . . . . . add 3

  n > 9 . . . . . . . . divide by 2

Only two listed numbers are greater than 9:

  10, 12

Answer:

1 = 62 degrees

2 = 90 degrees

3 = 62 degrees

Step-by-step explanation:

hope this helps! have a great day!

Answer:

Here we know that:

[tex]m(v) = \frac{M_0}{\sqrt{1 - \frac{V}{C} } }[/tex]

Where V is the speed, C = 3*10^8 m/s

We want to solve:

[tex]m(v) = \frac{M_0}{\sqrt{1 - \frac{V}{C} } } = 2*M_0[/tex]

We can just isolate V from the above equation, so we will get:

[tex]\frac{M_0}{\sqrt{1 - \frac{V}{C} } } = 2*M_0[/tex]

[tex]\frac{1}{\sqrt{1 - \frac{V}{C} } } = 2[/tex]

[tex]1 = 2\sqrt{1 - \frac{V}{C} }[/tex]

[tex](1/2)^2 = 1 - \frac{V}{C}[/tex]

[tex]V = (1 - (1/4))*C = (3/4)*C = (3/4)*3*10^8 m/s = (9/4)*10^8 m/s[/tex]

That is the velocity such that the effective mass is twice the rest mass.

Answer:

12.56 feet cubed

Step-by-step explanation:

Diameter of 8= radius of 4

4 x 3.14=12.56

12.56x3=37.68

37.68/3=12.56

Answer and Step-by-step explanation:

The answer is the second answer choice. y = 2x + 1

By looking at the graph, we see that there is a y-intercept at (0, 1), and it has a positive slope of 2.

#teamtrees #PAW (Plant and Water)

Step-by-step explanation:

if you need any explanation you can ask

Answer:

triangle BEF is right angled triangle

Answer:

Step-by-step explanation:

3/5 - 2/5 = (3-2)/5 = 1/5

7/10 - 3/10 = (7-3)/10 = 4/10 = 2/5

Answer:

9 hours

Step-by-step explanation:

$273/13 hours=$21 per hour

$189/$21 =9 hours

Answer:

True

Step-by-step explanation:

For example:

HCF of 2 and 3 is 1

Answer:

true

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