Adam is building a rectangular planter without a top. The planter will be 14 cm wide, 20 cm long, and 30 cm high. How much wood is needed to make the bottom and sides of the planter? (show working as well)

Answer:

18i, -7-i, -6+18i

Step-by-step explanation:

1. √-324

first take out the negative as √-1=i

√-324= i√324

324 =2*162

324=2*2*81

324=2*2*9*9

i√324=i√2*2*9*9= i* 2*9= 18i

3.

-4+7i-3-8i combine like terms

-4-3 -8i+7i = -7-i

5.

(1+5i)(4-2i) distribute

1*4 -1*2i +5i*4 -5i*(-2i) multiply

4 -2i +20i +10i² but i²= -1 so

4 -2i +20i -10 combine like terms

-6 +18i

Answer: 4a+3b-2c

this is the answer

Answer: 42.5

Step-by-step explanation:

3x + x+10 + G = 180

4x + 10 = 180

4x = 170

x = 42.5

Step-by-step explanation:

Since this is an isosceles triangle, the angle at G is the same as the angle at P. Thus G=(x+10)°.

Remembering that the sum of a triangle adds up to 180°.

Therefore,

3x + (x+10) + (x+10)=180.

5x + 20 = 180

5x = 160

x=32

Remember, G=x+10

G= 32+10

G=42°

Answer:

12,24,32.....

Step-by-step explanation:

4x3=12  6x2=12

Given:

The first four numbers in a pattern are 4, 2, 1, and 0.5.

To find:

The next three numbers in the pattern.​

Solution:

We have a pattern,

4, 2, 1, 0.5

Clearly, it is a GP and the common ratio is [tex]\dfrac{1}{2}[/tex] because each term is half of its preceding term.

Next term after 0.5 = [tex]0.5\times \dfrac{1}{2}=0.25[/tex]

Next term after 0.25 = [tex]0.25\times \dfrac{1}{2}=0.125[/tex]

Next term after 0.125 = [tex]0.125\times \dfrac{1}{2}=0.0625[/tex]

Therefore, the next three numbers in the pattern are 0.25, 0.125 and 0.0625 respectively.

Answer:

The given function is a polynomial function.

The degree of the function is 4 and leading co-efficient is -1.

Step-by-step explanation:

Given function is:

ƒ(x) = –x^3 – x^4 – 9 + 6x

Putting the terms in order of their power.

[tex]f(x) = -x^4-x^3+6x-9[/tex]

A polynomial is an algebraic expression which involves only positive integer exponents for the variables.

A polynomial function is of the form:

[tex]p(x) = a_nx_n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}........ a_0[/tex]

We can see that the function has no negative exponent. So the given function is a polynomial function.

The degree of a polynomial is the highest exponent of variable involved and leading co-efficient is the co-efficient of the variable with highest power.

Hence,

The given function is a polynomial function.

The degree of the function is 4 and leading co-efficient is -1.

Answer:

I will try to help but where us ur question ¿

Answer:  11(.875 -3000)

Step-by-step explanation:

Answer: No solutions

Step-by-step explanation:

Answer:

1.28 * 10^10

Step-by-step explanation:

Area Code:  8 * 2 * 10

7 digit number: 8 * 10 * 10 * 10 * 10 * 10 * 10

The total number of area codes is 160

8,000,000 * Area Codes

1.28*10^10

Answer:

The rule of the translation will be:

(x, y) → (x+3, y+5)

Step-by-step explanation:

Translation of an object is basically termed as "sliding" the original. If the image is moved right by the 'c' units, the 'c' unit(s) are added to the x-coordinate and if the image is moved left by the 'c' units, the 'c' unit(s) are subtracted to the x-coordinate.

And If the image is moved up by the 'c' units, the 'c' unit(s) are added to the y-coordinate and if the image is moved down by the 'c' units, the 'c' unit(s) are subtracted to the x-coordinate.

As the point is (4, 2)

The image of the point is (7, 7)

As the coordinates of the image point indicate that 3 units are added to the x-coordinate of the original point, and 5 units are added to the ý-coordinate.

Hence, the image will be move 3 units to the right and 5 units up.

Therefore, the rule of the translation will be:

(x, y)  →  (x+3, y+5)

as

(4, 2) →  (x+3, y+5) = (4+3, 2+5) = (7, 7)

Answer:

$1361.68

Step-by-step explanation:

15000 > 10000

so she gets the 8.5%

so she gets 108.5% of her salary

x/1255 = 108.5/100

1255(108.5) = 136,167.5

136,167.5/100 = 1361.68

Answer:

I think b

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

trust me

Answer:

density = mass ÷ volume

v = 4 × 4 ×4 = 64

density = 503 .68 g ÷ 64 cm³

density = 7.87 g/cm³

Answer:

The Royal Fruit Company produces two types of fruit drinks. The first type is 70%

pure fruit juice, and the second type is 95%

pure fruit juice. The company is attempting to produce a fruit drink that contains 75%

pure fruit juice. How many pints of each of the two existing types of drink must be used to make 90

pints of a mixture that is 75%

pure fruit juice?

Step-by-step explanation:

To make the desired drink we need to add 30 pints of  95% of the drink, and  80 pints of 40% of the drink.

Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m3), a derived unit, is the SI unit of volume. Volume is another word for capacity.

Given, The Royal Fruit Company produces two types of fruit drinks. The first type is 40% pure fruit juice, and the second type is 90% pure fruit juice.

Let,

a = Volume of 40% of drink

b = volume of 95% of drink

Since the two existing types of drink must be used to make 110 pints of a mixture that is 55% pure fruit juice

a + b = 110

0.4a + 0.95 b = 110 * 0.55

Comparing these equations we will get,

a = 80

and b = 30

Therefore, To make the desired drink we need to add 30 pints of  95% of the drink, and  80 pints of 40% of the drink.

Learn more about Volume here:

https://brainly.com/question/1578538

#SPJ2

Answer:

The slope is -1

Step-by-step explanation:

Answer: -2

Step-by-step explanation:

nice phone case

Answer:

x ≥ 0, x is an integer

Step-by-step explanation:

Cost of general admission = $8

Cost of 1 ticket = $1

Cost of x tickets = x

So, Total cost for x tickets = x+8

We are given that  P(x) represents total cost as a function of the number of tickets, x

So, P(x)=x+8

Since cost cannot be negative

So, Domain for visiting and riding rides at Paul’s Pumpkin Patch is x ≥ 0, x is an integer

So, Option D is true.

x ≥ 0, x is an integer

Answer:

The answer is b (1,11)

Step-by-step explanation:

You can graph the lines and find the solution that way (which is where the lines intersect)

or you can algebraically solve.

To check this, you can basically plug in the x and y values for the equation and see if they match with what the equation equals..

Example:

10x + 3y = 43

-9x - y = -20

10(1) + 3(11) --> 10 + 33 = 43.. 43 equals 43

-9(1) - (11) = -9 - 111 = -20.. -20 equals -20

(the values match up so it's a solution)

Answer:

25.559 degrees truncated

Step-by-step explanation:

There are many ways of solving this problem. The way I went about doing it was taking the inverse tangent of 11/23, to get 25.559 degrees.  

Answer:

Step-by-step explanation:

Function f(x) = x² - 4x + 24 does not have roots in set of real numbers.

Answer:

Step-by-step explanation:

Its in the Chrome Yowill find it there but Thank you

Answer:

I think its 4

Step-by-step explanation:

It may be 4 I am so sorry if its wrong

Answer:

this is what you get for this

Step-by-step explanation:

[tex]s.p. = c.p. \times 5\% \\ or \: x = 400 \times 5 \div 100 \\ or \: x = 4 \times 5 = 20 \\ [/tex]