What is the surface
area of a box in the
shape of a rectangular
prism with a length of 8
inches, width of 9 inches,
and height of 4 inches?

Answer:

a is the correct answer for f(x

The sequence or object patterns can be used to find exact values when the level of the pattern increases or decrease

The mathematical expression that connects the number of tiles and the grouping method is presented as follows;

tₙ = 9 + (n - 1)× 3

Reason:

Known parameter:

From the given diagram, we have that the number of green tiles = 18

Question: The missing parts of the question are;

Grouping method 1 having 15 green colored tiles with Figure size 3

We have;

Grouping method 1

The figure size number of the shape with 15 green colored tiles = 3

Grouping method 2, figure size 4

The figure size number of the shape with 18 green colored tiles = 4

By examination, we get;

The size number of the shape with 12 green colored tiles = 2

The size number of the shape with 9 green colored tiles = 1

Therefore the sequence is an arithmetic progression having the following characteristics;

nth term, tₙ = a + (n - 1)·d

The first term, a = 9

The common difference, d = 3

The mathematical expression that connects the grouping methods above, and gives the number of green tiles, tₙ, is tₙ = 9 + (n - 1)× 3

Where;

n = The grouping method number

For easy calculation;

The number of green tiles is given by the equation, tₙ = 9 + (n - 1)× 3

Learn more about number sequence here:

https://brainly.com/question/12474324

Answer:

x = -1/2

Step-by-step explanation:

-10x = 5

Divide both sides by -10.

x = -1/2

These following ordered pairs are on the graph:

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

An ordered pair (x, f(x)) will be on the graph if replacing them into the equation, we get an equivalence.

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

The equation is:

[tex]f(x) = x^2 - 1[/tex]

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

(0,1)

Here, we test [tex]x = 0, f(x) = 1[/tex]

Replacing into the equation:

[tex]1 = 0^2 - 1[/tex]

[tex]1 = -1[/tex]

False, so not on the graph.

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

(0,1)

Here, we test [tex]x = 1, f(x) = 0[/tex]

Replacing into the equation:

[tex]0 = 1^2 - 1[/tex]

[tex]0 = 0[/tex]

True, so on the graph.

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

(3,5)

Here, we test [tex]x = 3, f(x) = 5[/tex]

Replacing into the equation:

[tex]5 = 3^2 - 1[/tex]

[tex]5 = 8[/tex]

False, so not on the graph.

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

(5,24)

Here, we test [tex]x = 5, f(x) = 24[/tex]

Replacing into the equation:

[tex]24 = 5^2 - 1[/tex]

[tex]24 = 24[/tex]

True, so on the graph.

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

(-2,3)

Here, we test [tex]x = -2, f(x) = 3[/tex]

Replacing into the equation:

[tex]3 = (-2)^2 - 1[/tex]

[tex]3 = 3[/tex]

True, so on the graph.

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

(-4,-17)

Here, we test [tex]x = -4, f(x) = -17[/tex]

Replacing into the equation:

[tex]-17 = (-4)^2 - 1[/tex]

[tex]-17 = 15[/tex]

False, so not on the graph.

A similar question is given at https://brainly.com/question/2102317

Answer:

x < [tex]\frac{15-3a}{a-4}[/tex]; a > 4

a < [tex]\frac{4x+15}{x+3}[/tex]

Step-by-step explanation:

ax+3a < 4x + 15

ax - 4x < 15 - 3a

x( a -4) < 15 - 3a

x < [tex]\frac{15-3a}{a-4}[/tex]

ax + 3a < 5x + 15 -x

ax + 3a < 4x + 15

a( x + 3) < 4x + 15

a < [tex]\frac{4x+15}{x+3}[/tex]

Answer:

x <  (15 - 3a) / (a - 4). ( only true if a > 4)

a < (x + 15)/x

Step-by-step explanation:

a(x + 3) < 5x + 15 - x

ax + 3a < 5x + 15 - x

ax  - 5x + x < 15 - 3a

ax - 4x < 15 - 3a

x(a - 4) < 15 - 3a

Dividing both sides by (a - 4):

x <  (15 - 3a) / (a - 4)

a < (x + 15)/x

Answer:

1) 6r+7=13+7r —> 7r–6r=7–13 —> r = – 6

2) 13–4x=1–x —> 4x–x=13–1 —> 3x=12 —> x=12/3 —> x=4

3)–7x–3x+2=–8x–8 —> –8x+7x+3x=2+8 —> 2x=10 –> x= 10/2 –> x= 5

4)–8–x=x–4x —> –x–x+4x=8 —> 2X=8 —> x= 8/2 —> x= 4

5) –14+6b+7-2b=1+5b —> 5b +2b –6b = –14+7–1 —> b=–8

6) n+2=–14–n —> n+n=–14–2 —> 2n = –16 —> n = – 16/ 2 —> n = – 8

7) n – 3n = 14 –4n —> n –3n + 4n = 14 —> 2n = 14 —> n = 14/ 2 —> n = 7

8) 7a – 3 = 3 + 6a —> 7a – 6a = 3 + 3 —> a = 6

9) 3(1–3x ) =2(–4x+7) —> 3 –9x = –8x+14 —> 9x–8x = 3–14 —> x = –11

10) –10 +x+4–5 =7x –5 —> 7x–x = –10+4–5 +5 —> 6x = –6 —> x= –6/6 —> x = –1

11) –8n +4(1+5n)=–6n–14 —> –8n +4 + 20n = – 6n– 14

20n –8n +6n= –14 –4 —> 18n = – 18 —> n = –18/18 —> n = –1

12) –6n–20=–2n +4(1–3n) —> –6n –20 = – 2n +4 –12n —> 12n +2n –6n = 4 +20 —> 8n =24 —> n = 24/8 —> n =3

I hope I helped you^_^

Answer:

1.

6r + 7 = 13 +7r

6r - 7r = 13-7

-r = 6

r = 6

2.

13 - 4x = 1-x

-4x +x = 1 -13

-3x = -12

x = -12 / -3

x = 4

3.

-7x - 3x + 2 = -8x -8

-10x +2 = -8x -8

-10x +8x = -8 -2

-2x = -6

x = -6 / -2

x = 3

4.

-8 - x  = x- 4x

-8 - x  = -3x

-x + 3x = -8

2x = -8

x = -8 / 2

x = -4

5.

-14 + 6b + 7 -2b = 1 + 5b

-7 + 4b = 1 + 5b

4b - 5b = 1 + 7

-b = 8

b = -8

6.

n + 2 = -14 -n

n + n = -14 -2

2n = - 16

n = -16 / 2

n = -8

7.

n - 3n = 14 -4n

-2n = 14 - 4n

-2n +4n = 14

2n = 14

n = 14 /2

n = 7

8.

7a - 3 = 3 + 6a

7a - 6a = 3 +3

a = 6

9.

3 ( 1 - 3x ) = 2 (-4x + 7)

3 - 9x = -8x +14

-9x +8x  = 14 - 3

-x = 11

x = -11

10.

-10 + x + 4 - 5 = 7x - 5

-10 +x -1 = 7x - 5

-11 + x = 7x - 5

-11 + 5 = 7x -x

-6 = 6x

x = -6/6

x = -1

11.

-8n + 4 ( 1 + 5n ) = -6n -14

-8n + 4 + 20n = -6n -14

12n +4 = -6n -14

12n  + 6n = -14 -4

18n = -18

n = -18/18

n = -1

12.

-6n - 20 = -2n + 4 ( 1 - 3n)

-6n - 20 = -2n + 4 - 12n

-6n - 20 = -14n +4

-20 -4 = -14n +6n

-24 = 8n

n = -24/8

n = -3

(x + 1/x)² = x ² + 2 + 1/x ² = 10 + 2 = 12

==>   x + 1/x = ±√12

Answer:

p=5/8

Step-by-step explanation:

you first have to work out the brackets

5p+7=3(4-p)

5p+7=12-3p

then you have to group the like terms

5p+3p=12-7

8p=5

8p/8=5/8

p=5/8

you can also live it as a decimal

I hope this helps

Answer: p = 5/8

Explanation:

⇒5p + 7 = 3(4 -p)

⇒5p + 7 = 12 - 3p

⇒5p + 3p = 12 - 7

⇒8p = 5

⇒p = 5/8

Must click thanks and mark brainliest

Answer: Rs 33

Step-by-step explanation:

Cost of 5 dozen copies = Rs 60

Total copies in 5 dozen = 5×12

= 60

Cost of each copy = 60/60

= Rs 1 per copy

Cost of 33 copies = 33×1

= Rs 33

Therefore cost of 33 such copies is Rs 33

please click thanks and mark brainliest if you like :)

Answer: x = 7°

Explanation:

We know that sum of angles of a quadilateral is = 360°

Therefore ATQ

⇒ (12x-4)+(18x+4)+(15x+10)+(5x) = 360

⇒ (12x + 18x + 15x + 5x) + (-4+4+10) = 360

⇒ 50x + 10 = 360

⇒ 50x = 360-10

⇒ 50x = 350

⇒ x = 350/50

⇒ x = 7

Therefore value of x is 7°

Must click thanks and mark brainliest

Answer:

360 in.

Step-by-step explanation:

In order to get this answer, you have to multiply 5 and 8 by 3 because the drawing is 1/3 of the actual flag.

5 x 3 = 15

8 x 3 = 24

So, 24 x 15 = 360 in.

Hope this helps! :)

Answer:

B and C

Step-by-step explanation:

A is actually 5 so it is an integer and 0 is considered and integer.

Answer:

quadratic trinomial

Step-by-step explanation:

(8x^2 + 3x) – (12x^2 - 1)

Distribute the minus sign

8x^2+3x-12x^2+1

Combine like terms

-4x^2+3x+1

This is a quadratic since the highest power of x is 2

This is a trinomial since there are 3 terms

first simplify the equation and then divide by 3/3 it will give you the correct answer.

hope it helps...

Step-by-step explanation:

[tex]y - ( - 2) = \frac{2}{3} (x - 1) \\ \\ y + 2 = \frac{2}{3} (x - 1) \\ dividing \: each \: side \: by \: \frac{3}{3} \\ \\ \frac{3}{3} (y + 2) = \frac{2}{3} \times \frac{3}{3} (x - 1) \\ \\ y + 2 = 2 \times 3(x - 1) \\ y + 2 = 6(x - 1) \\ y + 2 = 6x - 6 \\ y = 6x - 6 - 2 \\ y = 6x - 8[/tex]

Answer:

x = 139

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angle

x = 49 +90

x = 139

An exterior angle of a triangle is equal to the sum of its interior opposite angles.

[tex] \bf \large \implies \: x \: = \: 49 \degree \: + \: 90 \degree[/tex]

[tex] \bf \large \implies \: x \: = \: 139 \degree [/tex]

Answer:

that would be -11

Step-by-step explanation:

it is asking for the absolute value of -7-4 however absolute value is always positive once you solve that you have a negative symbol on the outside that turns ur answer negative

Answer:

- 3

Step-by-step explanation:

- | -7+4|

Determine inside the absolute value first

-7+4 = -3

Replace inside the absolute value

- |-3|

The absolute value means take the non negative value

|-3| =3

- 3

Answer:

15.35888558

Step-by-step explanation:

is the answer

cos-¹(27/28)

Answer:

75 degrees

Step-by-step explanation:

law of sinus :

a/sin(A) = b/sin(B) = c/sin(C)

where the sides are always opposite to the used angles.

so,

28/sin(90) = 27/sin(angle)

28/1 = 28 = 27/sin(angle)

28×sin(angle) = 27

sin(angle) = 27/28 ≈ 0.96

angle ≈ 75 degrees

The required expression will therefore be:

(3×18) + (5×6) + 4

Her total score is 88points :

From the question given, we are told that Samantha scored 3 points for each of 18multiple questions his means that the total points made here is expressed as:

(3 × 18) ...1

If she got 5 points for each of the 6 short responsmultiple choice questione questions she answered

correctly, the total point made will be expressed as;

(5×6) ... 2

Total score for an additional 4 points for the bonus question will be "4"

Expression for her total score will be the sum of all the expression above as thus:

(3×18) + (5×6) + 4

Taking the sum, her score will be:

= (3×18) + (5×6) + 4

= 54 + 30 + 4

= 84 + 4

= 88 points

The required expression will therefore be:

(3×18) + (5×6) + 4

Her total score is 88points

Learn more about sum here: brainly.com/question/16397188

Answer:

A

Step-by-step explanation:

simple interest (I) is calculated as

I = [tex]\frac{PRT}{100}[/tex]

P is the principal. R the rate of interest and T the time in years

Here P = 880000, R = 3.5 and T = 2.5 , then

I = [tex]\frac{880000(3.5)(2.5)}{100}[/tex]

 = 8800 × 3.5 × 2.5

 = 77000 → A

Hi.

Let's call X number of visits.

so members pay for a year : membership 24 and reduce entrance at 3 dollars.

so you member pay : 3X+24

a non member pay entrance fee of 6 for each visit.

so 6X

Question : for how many visit would a membership will be more intresting than standar entrance ?

3X+24 = 6X

3X-6X = -24

-3X=-24

X= -24/-3

X =24/3

X= 8

Under 8 visit a year, it's cheaper non being a member.

at 8 entrance cost is the same for members and non member. After it better to choose membership as

9 entrances for member is : 3x9 +24 = 27+24= 51

non member : 9x6 = 54

And so on for each supplementary visits.

Answer:

5/10

Step-by-step explanation:

Hope it helped you

I am not confident, so feel free to give me less rating

[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}Base\times Height[/tex]

[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}(18)(13.5)[/tex]

[tex]\\ \sf\longmapsto Area=9(13.5)[/tex]

[tex]\\ \sf\longmapsto Area=121.5cm^2[/tex]

Answer:

(x,y) —> (–1 ,1)

I hope I helped you ^_^

9514 1404 393

Answer:

  640 marks

Step-by-step explanation:

80% of 800 is ...

  0.80 × 800 = 640

He got 640 marks.

[tex]\\ \sf\longmapsto cos\theta=\dfrac{3}{\sqrt{13}}[/tex]

We know

[tex]\boxed{\sf sin^2\theta=1-cos^2\theta}[/tex]

[tex]\\ \sf\longmapsto \sin( \theta) = \sqrt{1 - { \cos}^{2} \theta } \\ \\ \sf\longmapsto \sqrt{1 - {( \frac{3}{ \sqrt{13} }) }^{2} } \\ \\ \sf\longmapsto \sqrt{1- \frac{ {3}^{2} }{ {( \sqrt{13)} }^{2} } } \\ \\ \sf\longmapsto \sqrt{1 - \frac{9}{13} } \\ \\ \sf\longmapsto \sqrt{\frac{13 - 9}{13} } \\ \\ \sf\longmapsto \sqrt{ \frac{4}{13} } \\ \\ \sf\longmapsto \frac{2}{ \sqrt{13} } [/tex]

Answer:

blue line 0-(3)=-3

Red line -3-(6)=-9

Answer:

Here, we see that the slope (m) equals -1.

Step-by-step explanation:

m=Rise/Run

-2/2=-1

Hope it helps:)

Answer:

Adrenaline: A stress hormone produced within the adrenal gland that quickens the heart beat, strengthens the force of the heart's contraction, and opens up the bronchioles in the lungs, among other effects. The secretion of adrenaline is part of the human 'fight or flight' response to fear, panic, or perceived threat.

Step-by-step explanation:

Answer:

mate....where is red shaded region....

probably this will help ..... ;)

find the probability that a randomly selected point within the circle falls in the red shaded area

https://brainly.com/question/14113463?utm_source=android&utm_medium=share&utm_campaign=question