Please help... AP is arithmetic progression

Answer:

(1/2) y^5

Step-by-step explanation:

1/( 2y^-5)

1/2 * 1/ y^-5

We know that 1/ a^-b = a ^ b

(1/2) y^5

Answer:f(4)=1/2

f(x)=4 when x is 8

The complete statements would be as:

⇒ function f(4) is 1/2 and function f(x) = 4 when domain x is 8.

The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.

We have been given that the mapping diagram shows a functional relationship.

To determine the value of f(4)

As per the given functional relationship,

If the value of the domain is 4 then the value of the respective range would be 1/2.

Therefore, the function f(4) would be 1/2.

To determine the value of x,  when f(x) = 4

As per the given functional relationship,

If the value of the range is 4 then the value of the respective domain would be 8.

Therefore, x would be 8 if function f(x) = 4 .

Hence, the complete statements would be as:

f(4) is 1/2 and f(x) = 4 when x is 8.

Learn more about the domain and the range here:

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Answer:

1. 36r+30

2. -4f-5

3. 40g-28

4. 14n+8

5. -8-8m

Step-by-step explanation:

Solve: (8r + 9) + 7(4r + 3) ( 1 )

8r+9+28r+21

=36r+30

Solve: (3f - 9) + (-7f + 4) ( 1 )

3f-9-7f+4

= -4f-5

Solve: -8(-g + 6) + 4(8g + 5) ( 1 )

8g-48+32g+20

=40g-28

Solve: 5(2n + 3) + (4n - 7) ( 1 )

10n+15+4n-7

=14n+8

Solve: 2(-4) + (-8m) ( 1 )

= -8-8m

Answer:

8√30

Step-by-step explanation:

The length of the third side is 32 - 8 - 11 = 13. s (which is half of the perimeter) is 32 / 2 = 16 so the answer is:

√s(s-a)(s-b)(s-c) = √16 * (16 - 8) * (16 - 11) * (16 - 13) = √16 * 8 * 5 * 3 = √1920 = 8√30

Answer:

Proved: <3 =<4

Step-by-step explanation:

Alternate angles are equal

<1 = <4

<2 = <3

AC ≅ AR (Given)

Where ≅ means congruent to

When two straight lines intersect, the Vertical angles have opposite sides that are equal.

<CAR ≅ <TAD

<CAT ≅ <RAD

From the above

∆CAR is congruent to ∆TAD

This is a side angle side theorem

∆CAT is congruent to ∆RAD

This is a side angle side theorem

The side angle side theorem shows that two sides and an included angle of one triangle are equal to two sides and an included angle of another triangle.

Since corresponding parts of congruent angles are equal, <3 is congruent to <4.

<3 ≅ <4

Answer:

20

Step-by-step explanation:

To make these parallel, 2 and 5 would have to be corresponding angles, meaning that they have equal angle measure:

3x-20=x+20

3x=x+40

2x=40

x=20

Hope this helps!

Answer:

x= 20

Step-by-step explanation:

To make the lines parallel, angle 2  would equal angle 5

3x-20 = x+20

Subtract x from each side

2x -20 = 20

Add 20 to each side

2x-20 +20 = 20+20

2x = 40

Divide by 2

2x/2 = 40/2

x = 20

Answer:

BC = 38

Step-by-step explanation:

Central Angle = Intercepted Arc

BC = 38

Answer:

see below

Step-by-step explanation:

vanilla = 4 dollars per packet

chocolate = 1 dollar per packet

v = number of vanilla packets

c = number of chocolate packets

v+c = 27  for a total of 27 packets

4v+1c = 45  for 45 dollars spent

Subtract the first equation from the second equation  ( eliminate c to find v)

Since both equations have a coefficient of 1 for c, we can easily subtract to eliminate the c variable

4v + c =45

-v -c = -27

-------------------------

3v = 18

Divide by 3

3v/3 = 18/3

v = 6

6 packets of vanilla

Now find c

v+c = 27

6+c = 27

c = 27-6

c = 21

21 packets of chocolate

Answer:

[tex]perimeter= 14\,x\,+ \,4[/tex]

Step-by-step explanation:

Recall the formula for the perimeter rectangle (the addition of all rectangle\s sides): That is: twice the width ( 4x)  plus twice the length (3x+2);

[tex]perimeter=2\,*\,width \,+\,2\,*\,length\\perimeter = 2\,(4\,x)+2\,(3\,x+2)\\perimeter= 8\,x+6\,x+4\\perimeter= 14\,x\,+ \,4[/tex]

Answer:

A

Step-by-step explanation:

Answer:

A should be the correct answer.

Step-by-step explanation:

Hope this helps

Answer: - 6xy/23xy

Step-by-step explanation:

They're both simplified by 11.

Answer:

4

Step-by-step explanation:

2^2

Answer:

4

Step-by-step explanation:

Answer:

76

Step-by-step explanation:

SA=2lw+2lh+2hw, to find the surface area.

i have rounded the answer up by 1 decimal place

problem decoded dude

follow meh

Answer:

(5z +2) (z+1)

Step-by-step explanation:

5z^2 +7z +2

(5z +2) (z+1)

The first term when multiplied out is 5z^2  The last term is 2

The middle term is 2z+5z = 7z so this is the correct factorization

Answer:

[tex]6n - 5[/tex]

Step-by-step explanation:

[tex]7 - 1 = 6[/tex]

[tex]6n - 5[/tex]

to check whether your answer is correct.

[tex]n = 1 \\ 6 \times 1 - 5 \\ 6 - 5 \\ = 1[/tex]

[tex]n = 2 \\ 6 \times 2 - 5 \\ 12 - 5 \\ = 7[/tex]

yes, it's correct

hope this helps you

Answer:

See attachment below

Step-by-step explanation:

For the first option, we are given m = - 2 / 3, b = 3. This is likely in the point - slope form y = mx + b, where m = slope and b = y - intercept. Thus, the equation of the line in point - slope form given this information, should be y = - 2 / 3x + 3. It seems as if none of the following equations match this form, so let us interchange the equation a bit,

y = - 2 / 3x + 3,

y + 2 / 3x = 3,

2x + 3y = 9 - Option C

_______________________________________________________

Next we are given m = - 3 / 2, and that this line passes through the point ( 4, - 1 ). Substitute m as - 3 / 2, x as 4, y as - 1, knowing point ( 4, - 1 ), into the form y = mx + b - solving for b.

- 1 = ( - 3 / 2 )( 4 ) + b,

b = 5,

Thus the equation in point - slope form should be y = - 3 / 2x + 5. None of the choices match this, so let us again alter the equation,

y = - 3 / 2x + 5,

2y = - 3x + 10,

- 2y = 3x - 10 - Option A

_______________________________________________________

( 6, 3 ) and ( 3, 1 ) is given to lie on this line. The slope of the line should be as follows,

Slope = 3 - 1 / 6 - 3 = 2 / 3

Now let us determine the y - intercept ( b ) by substitute one of the points, say ( 6, 3 ). In this case x = 6, and y = 3,

3 = ( 2 / 3 )( 6 ) + b,

b = - 1,

y = 2 / 3x - 1 = Option D

Take a look at the attachment below for further help;

Answer:

The answer is 83/4

Step-by-step explanation:

5 1/4+15.5

21/4+15.5

Taking LCM

21/4+15.5*4/1*4

21/4+62/4

83/4

Answer:

[tex]20\frac{3}{4}[/tex]

Step-by-step explanation:

=> [tex]5\frac{1}{4} + 15\frac{1}{2}[/tex]

=> [tex]\frac{21}{4}+ \frac{31}{2}[/tex]

=> [tex]\frac{21+62}{4}[/tex]

=> [tex]\frac{83}{4}[/tex]

=> [tex]20\frac{3}{4}[/tex]

Answer:

33 students.

Step-by-step explanation:

There are between 24 and 40 students in a class.

The ratio of boys to girls is 4:7.

4×3:7×3

12:21

12+21=33

33 students in the class, which is between 24 and 40 students in a class.

4×2:7×2

8:14

8+14=22

22 is wrong because it has to be between 24 and 40 students in a class.

4×4:7×4

16:28

16+28=44

44 is wrong because it has to be between 24 and 40 students in a class.

4×1:7×1

4:7

4+7=11

11 is wrong because it has to be between 24 and 40 students in a class.

Answer:

See below

Step-by-step explanation:

When you roll an 8-sided die twice, the sample space is the set of all possible pairs (x,y) where x is the first outcome and y is the second outcome.

The sample space is:

[tex][(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),(1, 7),(1, 8)\\(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),(2, 7),(2, 8)\\(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),(3, 7),(3, 8)\\(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),(4, 7),(4, 8)\\(5, 1), (5, 2), (5, 3), (5, 4), (5, 5),(5, 6),(5, 7),(5, 8)\\(6, 1), (6, 2), (6, 3), (6, 4)(6, 5),(6, 6),(6, 7),(6, 8)\\(7, 1), (7, 2), (7, 3), (7, 4)(7, 5),(7, 6),(7, 7),(7, 8)\\(8, 1), (8, 2), (8, 3), (8, 4)(8, 5),(8, 6),(8, 7),(8, 8)][/tex]

The sample space of the product xy of each outcome forms the required possibility diagram.

This is given as:

[tex]1, 2, 3, 4, 5, 6,7,8\\2, 4, 6, 8, 10, 12,14,16\\3,6,9,12,15,18,21,24\\4,8,12,16,20,24,28,32\\5,10,15,20,25,30,35,40\\6,12,18,24,30,36,42,48\\7,14,21,28,35,42,49,56\\8,16,24,32,40,48,56,64[/tex]

Answer:

The area of the now-enlarged shape quadruples. The units are the same; square units.

Step-by-step explanation:

The diagram of the structure isn't provided. But, we can work on a generalized principle for enlargement or reduction.

When a shape is enlarged by a scale factor of 2, it means all of its lengths are increased according to that scale facfor (doubled).

Whatever the shape of the figure was, by enlarging it by a scale factor of 2, all of its dimensions become doubled, and as area is a product of dimensions, two dimensions to be precise, the Area of the object increases by a scale of 4.

For example, if the shape was a rectangle.

A = L × B

When enlarged, new L = 2L, new B = 2B

new Area = new L × new B = 2L × 2B = 4LB = 4 × old area.

A circle

A = πr²

When enlarged, new R = 2r

new Area = π(new R)² = π(2r)² = 4πr² = 4 × old area.

Whatever the original shape was, when it is enlarged by a scale factor of 2, the Area if the new enlarged shape is quadruple of the Area of the old shape.

Hope this Helps!!!

Answer:

Step-by-step explanation:

Given the expression   [tex]\sqrt{-16} - \sqrt{-3} \sqrt{-3} -\sqrt{-4} \sqrt{-4}+3i-3i^{2} +3i^{3}[/tex]

On simplifying;

First we need to note that i² = -1 and √-1 = i

Substituting the values in the expression, it becomes;

= √16(√-1)-√(-3)(-3)-√(-4)(-4)+3i-3(-1)+3i(i²)

= 4i-√9-√16+3i+3-3i

= 4i-3-4+3

= 4i-4

= 4(i-1)

Answer:

B' (16,14)

Step-by-step explanation:

Find the coordinates of the vertex B.

M is the midpoint of the diagonal AC.

A(2,7) and C(8,1), the center has coordinates Point M which is the midpoint of the diagonal BD.

Let B has coordinates (x,y),

B(8,7).

(x,y)→(2x,2y)

B(8,7)→B'(16,14).

Answer:

(16, 14)

Step-by-step explanation:

If there was no dilation, the fourth coordinate would be (8, 7)

Dilation of 2: (2x, 2y)

(16, 14)

Answer:

93%

Step-by-step explanation:

caculator

Answer:

[tex]a^{-13/5}[/tex]

Step-by-step explanation:

[tex]a^{2/5} (a^{-3})[/tex]

[tex]=a^{2/5 + (-3)}[/tex]

[tex]=a^{2/5-3}[/tex]

[tex]=a^{2/5-15/5}[/tex]

[tex]=a^{-13/5}[/tex]

Answer:

[tex] {a}^{ \frac{ - 13}{5} } [/tex]

please see the attached picture for full solution

hope it helps...

Good luck on your assignment...

Answer: The greatest common factor of two numbers can be determined by laying the factors first of the two numbers each and then identifying which is the largest number ..soo it should be B. x4

Step-by-step explanation:

Answer:

Option B: x^4

Step-by-step explanation:

Answer:

Combination would be the best choice here because they are in groups of 10 different.

Answer:

5

Step-by-step explanation:

Answer:

The largest possible number of overseas visitors would be 11,640,000.

The smallest possible number of overseas visitors would be 11,550,000.

Step-by-step explanation:

The number 11,600,000 was rounded off to the nearest 100,000.

This means that either 0 or 1 was added to the figure with place value of 100,000.

It would be zero (0) in the case where the number after the 100,000th placed value number is lower than 5 and it would be one (1) in the case where the number after the 100,000th placed value is greater than or equal to 5.

Therefore, the largest possible number of overseas visitors would be 11,640,000.

The smallest possible number of overseas visitors would be 11,550,000.

Answer:

[tex]7x^{2}[/tex]([tex]x[/tex]-3)

Step-by-step explanation:

[tex]7x^{3}[/tex] - [tex]21x^{2}[/tex]

[tex]7x^{2}[/tex] goes into both terms.

Divide both terms by [tex]7x^{2}[/tex].

[tex]7x^{2}[/tex]([tex]x[/tex]-3)

Answer: B and C

Step-by-step explanation:

-2343  is an integer and also a rational number since it can be expressed as a fraction.  

An integer is whole number and its opposite so -2343 is an integer because its opposite is 2343.