In the figure below net of cube is show
Find the surface area of cube.
3 in

Step-by-step explanation:

We have,

[tex]g(x)=x^3+x^2-x-2[/tex]

To find g(-1), put -1 in place of x i.e.

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

To find g(1), put 1 in place of x i.e.

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

To find g(2), put 2 in place of x i.e.

[tex]g(2)=2^3+2^2-2-2\\\\=8[/tex]

g(2) + g(1) = 8+(-1)

= 7

Hence, this is the required solution.

Answer:7

Step-by-step explanation: mark brainliest pls lol

Answer:

7

Step-by-step explanation:

5 x 7 = 35 or 35/5 = 7 [ correct me if i'm wrong ]

Answer:

??????????????????????????

Answer:

The exponent is 6.

Basically, the term 5x^6 is asking you to raise 'x' to the 6th power (the exponent) and then multiply it by 5.

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Answer:

You need to ask yourself what times 20  gives you 600.  Then ask yourself what times 20 gives you 160.  Then that will give you your answer.

Step-by-step explanation:

Answer:

The initial population size is of 58.

The population size of the specie after t years is given by:

[tex]P(t) = \frac{520}{1 + 8e^{-0.3t}[/tex]

Step-by-step explanation:

Population size of the specie:

The population size of the specie after t years is given by:

[tex]P(t) = \frac{520}{1 + 8e^{-0.3t}[/tex]

Initial population size

This is P when [tex]t = 0[/tex], that is, [tex]P(0)[/tex]. So

[tex]P(0) = \frac{520}{1 + 8e^{-0.3*0} = \frac{520}{1+8} = \frac{520}{9} = 57.7[/tex]

Rounding to the nearest number, 58

The initial population size is of 58.

Answer:

E = 427 votes

Step-by-step explanation:

Translating the word problem into an algebraic expression, we have;

E = D + 95

E = C + 186

Equating the two equations, we have;

D + 95 = C + 186

D = C + 186 - 95

D = C + 91

Also, the sum of all the votes is equal to 1000.

E + D + C = 1000

Substituting the value of "D" we have;

E + (C + 91) + C = 1000

E + C + 91 + C = 1000

E + 2C + 91 = 1000

E + 2C = 1000 - 91

E + 2C = 909

But, E = C + 186

Substituting the value of "E" we have;

(C + 186) + 2C = 909

C + 186 + 2C = 909

3C + 186 = 909

3C = 909 - 186

3C = 723

C = 723/3

C = 241 votes

Next, we would find Elaine's vote;

E = C + 186

E = 241 + 186

E = 427 votes

Lastly, we would find Dean's vote;

E = D + 95

427 = D + 95

D = 427 - 95

D = 332 votes

Check:

E + D + C = 1000

427 + 332 + 241 = 1000

1000 = 1000

Answer:

Option C

Step-by-step explanation:

In this question measure of two sides and and the angle between these sides of a triangle is given.

We have to calculate the measure of third side.

By applying cosine rule in the given triangle.

BC² = AB² + AC² - 2(AB)(AC)cos(A)

BC² = (18)² + (12)² - 2(18)(12)cos(62°)

BC² = 324 + 144 - 202.81

BC² = 265.19

BC = 16.28

BC ≈ 16 units

Therefore, Option C will be the correct option.

Answer:

Step-by-step explanation:

11.04 = 10(1.02)^n

1.104 = 1.02^n

ln 1.104 = ln 1.02^n

ln 1.104 = n ln 1.02

n = ln 1.104/ ln 1.02

n = 4.99630409516

4.99 can be rounded to 5.

So a reasonable domain would be 0 ≤ x < 5

PART B)

f(0) = 10(1.02)^0

f(0) = 10(1)

f(0) = 10

The y-intercept represents the height of the plant when they began the experiment.

f(1) = 10(1.02)^1

f(1) = 10(1.02)

f(1) = 10.2

(1, 10.2)

f(5) = 10(1.02)^5

f(5) = 10(1.1040808)

f(5) = 11.040808

f(1)=10(1.02)^1

f(1)=10.2

Average rate= (fn2-fn1)/(n2-n1)

                     =11.04-10.2/(5-1)

                    =0.22

the average rate of change of the function f(n) from n = 1 to n = 5 is 0.22.  

Answer:

B: A systematic random sample

Step-by-step explanation:

Systematic sampling is a type of probability sampling in which members of a larger population are chosen at random from a larger population but at a fixed, periodic interval. This interval, also known as the sampling interval, is calculated by dividing the population size by the sample size desired. Despite the fact that the sample population is chosen in advance, systematic sampling is still considered random if the periodic interval is set in advance and the starting point is chosen at random.

Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?  

Answer:

This means that, when the price of a book from a publisher is $60, the bookstore will sell it for $88 to the students.

Answer:

t = 0.77930

t = 1.2832

Step-by-step explanation:

Step-by-step explanation:

Correct option is

C

0≤r<b

If r must satisfy0≤r<b

Proof,

..,a−3b,a−2b,a−b,a,a+b,a+2b,a+3b,..

clearly it is an arithmetic progression with common difference b and it extends infinitely in both directions.

Let r be the smallest non-negative term of this arithmetic progression.Then,there exists a non-negative integer q such that,

a−bq=r

=>a=bq+r

As,r is the smallest non-negative integer satisfying the result.Therefore, 0≤r≤b

Thus, we have

a=bq1+r1,   0≤r1≤b

Answer:

x=40

Step-by-step explanation:

I went through each answer one by one and the only one that satisfies the question is 40.

The line equals 180°, so x + (4x-20) must equal 180.

x+(4x-20)

40+(4(40)-20)

40+(160-20)

40+140=180

x=40

Answer:

x= 40

Step-by-step explanation:

sum of angle on a straight line= 180;

To find X,

sum of angles = 180

x+(4x-20)= 180

: x= 180- [x+(4x-20)]

opening the brackets,

= 180-x-4x+20= 0

taking like terms:

= -x-4x+180+20= 0

= -5x+200=0

= -5x= -200

= x= 200/5

x= 40°

Answer:

use app Gauthmath its will give you the answer

Answer:

Step-by-step explanation:

Wage = rate / hr * the number of hours worked.

Wage = ?

rate = 15.45

time = 29.25 hours

Wage = 15.45 * 29.25

Wage = 451.91

Answer:

6/6=1

Step-by-step explanation:

There are six sides on a die and you have six total outcomes. Hope this helps! :)

Answer:

Please say in English

Step-by-step explanation:

I don't understand, Sorry

Answer:

[tex]\sqrt{58}[/tex]

Step-by-step explanation:

To find the hypotenuse, we need to use the pythagorean theorem which is [tex]a^2+b^2=c^2[/tex]

[tex]3^2+7^2=c^2[/tex]

[tex]9+49=c^2[/tex]

[tex]58=c^2[/tex]

[tex]\sqrt{58} =c^2[/tex]

Hope this helps

Answer:

Step-by-step explanation:

√58

Answer:

When 2x^2 - 10x - 3 is plugged into the quadratic equation, the resulting zeroes are x = (5 + sqrt(31))/2 and (5 - sqrt(31))/2. Hope this helps!

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.

[tex]-\frac{5 \pi }{6} +2\pi =\frac{-5\pi +12 \pi }{6} =\frac{7\pi }{6}[/tex]

2.

405-360=45°

Answer:

5/6 + 11/6 = 16/ 6

Step-by-step explanation:

Distance between any Teo labeled tick marks =

(1 - 2/3) / 2 = 1/3 ÷ 2 = 1/3 * 1/2 = 1/6

From the left :

2/3 + 1/6 = 5/6

5/3 + 1/6 = 11/6

5/6 + 11/6 = (5 + 11) / 6 = 16/6

5/6 + 11/6 = 16/ 6

-4/3

For your question: Suppose cos(x) =1/(sqrt(5)) and sin(x) >0. What is the value of tan(2x)?

The value of tan(2x) is equal to -4/3

Answer:

anu po yan salamat po sa point

Answer:

7

Step-by-step explanation:

Since it's on a line, we add up all of the numbers. So 1 + 2 + 4 = 7.

Answer:

7, 1, 5, and 3

Step-by-step explanation:

Because you have to consider all possibilities, you will have multiple different-looking number lines. Using the ratios given in the problem, just by playing around with the letters' placements on the number line you can easily find the length of AD.

Answer:

It discusses the role of the God in influencing our decisions

Answer:

I believe it is choice D

Step-by-step explanation:

in the excerpt it talks about how sight gives us the ability to observe and experience. it also states "we prefer sight to almost everything else." hope I'm right! ☺️

Answer:

2 rooms

Step-by-step explanation:

Let; 4 7/10 = 47/10

9 2/5=47/5

So; if each room(1) = 47/10

47/5 should be x rooms

47/10 = 1

47/5 = x

cross multiplying

47/10x = 47/5

L.C.M = 10

10×47/10x = 10× 47/5

47x = 47 × 2

x = 47 × 2/47

x = 2

Therefore x being 9 2/5 rolls of wire will wire 2 rooms

Parameterize the path by

r (x) = (x, x + 2)

with 0 ≤ x ≤ 2. Then

r' (x) = (1, 1)   ==>   ||r' (x)|| = √(1² + 1²) = √2

and the line integral is

[tex]\displaystyle\int_Lxy\,\mathrm ds=\sqrt2\int_0^2x(x+2)\,\mathrm dx=\boxed{\frac{20\sqrt2}3}[/tex]

a.

Answer:

1170cm^3

Step-by-step explanation:

Break it into two prisms. 5 x 9 x 15 and 11 x 3 x 15. Find the volume of each and add.

(5 x 9 x 15) + (11 x 3 x 15)

675 + 495

1170cm^3

b.

Answer:

846cm^2

Step-by-step explanation:

Add each side's area together.

(9x15) + (5x15) + (6x15) + (3x15) + (12x15) + (11x15) + (5x9) + (5x9) + (11x3) + (11x3)

135 + 75 + 90 + 45 + 180 + 165 + 45 + 45 + 33 + 33

846 cm^2

Answer:

(a)1170 cm^3

(b)846 cm^2

Step-by-step explanation:

(a) Rectangle #1= 11 x 3 = 33 cm^2

Rectangle #2 = 5 x 9 = 45 cm^2

Volume = 45 + 33 = 78 x 15 = 1170 cm^3

(b) First find the surface are of all 8 faces in the prism and then add them all.

1st face = (11 x 3) + (5 x 9 ) = 33 + 45 = 78 cm^2

2nd face = (11 x 3) + (5 x 9 ) = 33 + 45 = 78 cm^2

3rd face = 15 x 3 = 45 cm^2

4th face = 15 x 6 = 90 cm^2

5th face = 15 x 9 = 135 cm^2

6th face = 15 x 5 = 75 cm^2

7th face = 15 x 12 = 180 cm^2

8th face = 15 x 11 = 165 cm^2

1st + 2nd + 3rd +4th + 5th+ 6th + 7th + 8th = 846 cm^2

Hope this helps!