A jacket costs $154.85. There is a 45% discount. What is the new price of the jacket.

A.) $68.68
B.) $85.17
C.) $224.53

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

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:

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

Answer:

9 hours

Step-by-step explanation:

$273/13 hours=$21 per hour

$189/$21 =9 hours

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

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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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:

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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[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:

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.

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:

True

Step-by-step explanation:

For example:

HCF of 2 and 3 is 1

Answer:

true

Also i need help with

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Answer:

X= 24º

Explanation:

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

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:

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:

triangle BEF is right angled triangle

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.

Step-by-step explanation:

if you need any explanation you can ask

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:

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 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)

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.

The unit circle is best suited for dealing with angles and trigonometric functions of multiple angles, right triangles are best for finding the lengths of the sides of triangles with a right angle, and trigonometric identities are best for simplifying or manipulating trigonometric expressions.

Each tool has its own strengths and weaknesses and is better suited for certain types of problems.

Unit Circle is a powerful tool used to relate angles to trigonometric functions. It is particularly useful when dealing with angles in radians, as it allows for easy conversion between radians and degrees. The unit circle is also useful when dealing with trigonometric functions of multiple angles, such as sine and cosine of the sum or difference of two angles.

A good example will be if we want to find the exact value of sin(π/6), we can use the unit circle to visualize the angle π/6, which corresponds to 30 degrees. The unit circle tells us that at this angle, sin(π/6) = 1/2.

Right triangles are useful when we have a right angle in the triangle, as they allow us to use the Pythagorean theorem and trigonometric ratios to find the lengths of the sides of the triangle. Right triangles are particularly useful when we know one angle and one side length, as we can use trigonometric ratios such as sine, cosine, and tangent to find the lengths of the other sides.

If we have a right triangle with an angle of 30 degrees and a hypotenuse of 2, we can use the sine ratio to find the length of the opposite side. sin(30) = opposite/hypotenuse, so opposite = sin(30) * 2 = 1.

Trigonometric identities are useful when we want to simplify or manipulate trigonometric expressions. These identities are derived from the definitions of the trigonometric functions and can be used to simplify complex expressions or prove trigonometric identities.

For example, we can use the identity:

sin²(x) + cos²(x) = 1

to simplify the expression

sin²(x) - cos²(x).

We can rewrite this expression as:

sin²(x) - cos²(x) = sin²(x) + (-1)*cos²(x)

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Answer:

1 = 62 degrees

2 = 90 degrees

3 = 62 degrees

Step-by-step explanation:

hope this helps! have a great day!

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:

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

Answer:

y means that the schedule your online Hindi