Tom has already baked 4 cakes, and he can bake 1 cake with each additional stick of butter he buys. How many additional sticks of butter does Tom need in order to bake a total of 42 cakes?

Answer in the number of additional sticks of butter.

Answer:

On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42?

That turned out to be much harder—as in, no one was able to solve for those integers for 65 years until a supercomputer finally came up with the solution to 42. (For the record: x = -80538738812075974, y = 80435758145817515, and z = 12602123297335631. Obviously.)

Step-by-step explanation:

Answer:

x= -15

y= -3

x/y

=-15/-3

=5

option A is correct

Answer:

14

Step-by-step explanation:

10+4=14

Answer: 14

Step-by-step explanation: 4 + 10 = 14 because , THE 10 is UP the 4 ADDS up so since it’s 4 +10 it would be 14. Cause you add 4 UP and equals 14.

Answer:

The trigonometric functions include the following 6 functions: sine, cosine, tangent, cotangent, secant, and cosecant. For each of these functions, there is an inverse trigonometric function. The trigonometric functions can be defined using the unit circle.

Step-by-step explanation:

Answer:

Sorry Bro I can't understand

Answer:

4.00 - 1.25/1.25= 2.2 x 100 = 220

Hi there.

To find the value of f(-5), we need to substitute x = -5 in the equation.

[tex]f( - 5 ) = 4(3 - ( - 5))[/tex]

Now then, know the basic rules of multiplying in the negative.

When you multiply the negative with the negative, you will get the positive.

Thus, - (-5) = 5

[tex]f( - 5) = 4(3 + 5) \\ f( - 5) = 4(8)[/tex]

Then distribute 4 inside.

[tex]f( - 5) = 32[/tex]

Therefore, the answer is f(-5) = 32

Answer:

answer is c

Step-by-step explanation:

Mark my answer as brainliest

Given:

(x+2) is a factor of polynomial f(x).

To find:

The correct statement.

Solution:

If (x-c) is a factor of polynomial f(x), then c is a zero of the polynomial and f(c)=0.

We have, (x+2) is a factor of polynomial f(x).

On comparing (x-c) and (x+2), we get

[tex]c=-2[/tex]

It means, -2 is a zero of the polynomial f(x) and the value the polynomial at x=-2 is 0, i.e.,

[tex]f(-2)=0[/tex]

Therefore, the correct option is d.

Answer:

Step-by-step explanation:

V≈1615.97m³

Answer:

1615.968 m^3

Step-by-step explanation:

V = h/3 * π * r^2

V = 5.6/3 * π * 16.6^2

V = 1615.968 m^3

Answer:

PR=21

Step-by-step explanation:

make x+1 and 5x-79 equal bec it is isosceles triangle. So x+1=5x-79. Then isolate x.

4x=80

x=20

Plug x in the PR equation or PQ equation

5(20)-79

Which equals 21

AB = 17

CD = 25

x = 17

hope this helps!!

Answer:

17

Step-by-step explanation:

The correct answer would be 17!

Answer:

[tex] {a}^{4} - 9 \\ = {a}^{ {2}^{2} } - {3}^{2} \\ let \: {a}^{2} \: be \: y \\ = {y}^{2} - {3}^{2} \\ from \: difference \: of \: squares \\ = (y - 3)(y + 3) \\ substitute \: for \: y \\ = ( {a}^{2} - 3)( {a}^{2} + 3)[/tex]

Answer:

100 POINTS! (50 split up) PLSSSSSSSSSS HELP!!! I REALLY NEED IT SO MUCH :( I PROMICE2 g. Describe your results in terms of precision and accuracy. Explain your answer in a paragraph for the best grade.

Step-by-step explanation:

Answer/Step-by-step explanation:

Given, y = k√x

Let's find the following:

a. To find k, using the first pair given, (64, 16), plug in the values of the ordered pair into y = k√x

Thus:

16 = k√64

16 = k*8

Divide both sides by 8

16/8 = k

k = 2

b. To find F, substitute k = 2, and x = 100 into y = k√x

Thus:

y = 2√100

y = 2*10

y = 20

F = 20

c. To find x, substitute k = 2, and y = 10√2 into y = k√x.

Thus:

10√2 = 2√x

Divide both sides by 2

(10√2)/2 = √x

5√2 = √x

Square both sides

x = (5√2)²

x = 25*2

x = 50

d = 50

Answer:

0.82

Step-by-step explanation:

since she didn't have any money in there when she first started, and she puts it in every month, the correct answer is

y = 230x

hope this helps!!

Answer:10

Step-by-step explanation:and a slope 2/12 roof slope means your roof has 2 inches of vertical drop for every 12 inches of horizontal distance.Aug

The equation of the line that is parallel to the given line and passes through the point (12, -2) is y = 5/6(x)-12

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The slope of line passing through the points (12, 6) and (0, -4)

Slope = -4-6/0-12

=-10/-12

=5/6

Now let us find y intercept passing through (12, -2)

-2=5/6(12)+b

-2=10+b

-12=b

Hence,  the equation of the line that is parallel to the given line and passes through the point (12, -2) is y = 5/6(x)-12

To learn more on slope of line click:

https://brainly.com/question/16180119

#SPJ7

Answer:

Factored is 3(3x+1)

Simplified is 9x+3

I'm not sure which one you need.

Answer:

The equation of the straight line passing through the point ( 3,1 )

                      [tex]\frac{x}{2} + \frac{y}{-2} = 1[/tex]

Step-by-step explanation:

Step(i):-

The equation of the straight line passing through the point ( 3,1 )

                      [tex]\frac{x}{a} + \frac{y}{b} = 1[/tex]

                     [tex]\frac{3}{a} + \frac{1}{b} = 1[/tex]

                    3b + a = ab ...(i)

Given the difference of length is  4

                      a-b = 4

                       b =  a - 4 ...(ii)

Step(ii):-

substitute b=a-4 in equation (i) , we get

                3( a-4 ) + a = a (a-4)

               3a - 12+ a =  - 4 a + a²  

                 a² - 8 a + 12 =0

Find the factors of 'a'

                 a² - 6a -2a +12 =0

                a (a-6) -2(a-6) =0

             a =2 and a=6

                  we know that a-b =4

             put       a = 2

                          2 - b =4

                            b = -2

The equation of the straight line whose intercepts on the axes

                    [tex]\frac{x}{a} + \frac{y}{b} = 1[/tex]

                   [tex]\frac{x}{2} + \frac{y}{-2} = 1[/tex]

The equation of the straight line

                      [tex]\frac{x}{2} + \frac{y}{-2} = 1[/tex]

Verification:-

The equation of the straight line passing through the point (3,1)

                      [tex]\frac{x}{2} + \frac{y}{-2} = 1[/tex]

Put x =3 and y=1

                  [tex]\frac{3}{2} + \frac{1}{-2} = 1\\\frac{2}{2} =1\\[/tex]

                 1 = 1

∴  The point (3,1) is satisfies the equation

Answer:

Additive property of length

Step-by-step explanation:

Additive property of length

Answer:

a) 1.25  , 2

b)  A

Step-by-step explanation:

a) x=1    y = 1/4 x1³ - 1² + 2 = 1 1/4 = 1.25

   x=4   y = 1/4 * 64 - 16 + 2 = 2

b)  curve A

Answer:

a) i) when x = -2, y = -4

ii) when x = -1, y = 0.75

iii) when x = 1, y = 1.25

iv) when x = 4, y = 2

b) graph A

Step-by-step explanation:

[tex]y = \frac{1}{4} {x}^{3} - {x}^{2} + 2[/tex]

[tex]y = \frac{1}{4} {( - 2)}^{3} - {( - 2)}^{2} + 2[/tex]

[tex]y = - 2 - 4+ 2[/tex]

[tex]y = - 4[/tex]

[tex]y = \frac{1}{4} {( - 1)}^{3} - {( - 1)}^{2} + 2[/tex]

[tex]y = - \frac{1}{4} - 1 + 2[/tex]

[tex]y = \frac{3}{4} \: or \: 0.75[/tex]

[tex]y = \frac{1}{4} {( 1)}^{3} - {( 1)}^{2} + 2[/tex]

[tex]y = \frac{1}{4} - 1 + 2[/tex]

[tex]y = \frac{5}{4} \: or \: 1.25[/tex]

[tex]y = \frac{1}{4} {( 4)}^{3} - {( 4)}^{2} + 2[/tex]

[tex]y = 16 - 16 + 2[/tex]

[tex]y = 2[/tex]

Answer:

b and c

Step-by-step explanation:

took test

Answer:

it can't go to simplest form it has no common numbers  

Step-by-step explanation:

Answer:

35/54 is already in the simplest form. It can be written as 0.648148 in decimal form (rounded to 6 decimal places).

Answer:

C. its 7.5 per land

Step-by-step explanation:

Answer:

7.50 per lawn

Step-by-step explanation:

for two lawns it is 15 dollars and 15/2=7.50

so for 1 lawn it is 7.50

Answer:

A: The cube of a number less than the square root of the number.

Step-by-step explanation:

None

Answer:

Solving the expression: [tex](6.2 - 3.51) \times (11.7 \times 0.3)[/tex] we get 9.4419

Step-by-step explanation:

We need to solve the expression: [tex](6.2 - 3.51) \times (11.7 \times 0.3)[/tex]

According to DMAS rules first we solve brackets and then we will multiply the results found after solving brackets

So,

[tex](6.2 - 3.51) \times (11.7 \times 0.3)\\=2.69 \times 3.51\\=9.4419[/tex]

First we solved the terms (6.2-3.51) and get 2.69 and by solving (11.7 x 0.3) we get 3.51

Now, we will multiply 2.69 with 3.51 to get the final result.

The final result is 9.4419

So, solving the expression: [tex](6.2 - 3.51) \times (11.7 \times 0.3)[/tex] we get 9.4419