Help please, I could not figure this problem because the answer was -108 but I only solved it to -244. The problem is “Find coefficient of x in expansion of (x-3)^4”

Answer:

3) 161

Step-by-step explanation:

Indeed this is pretty easy :D

What we need to find is the surface area of the rectangular prism excluding the area of the hole. First, let's find out the width of the box, we can do this by using the area, the length, and the height, and we can write:

[tex]V=lhw[/tex]

(Formula to find the volume of a rectangular prism)

[tex]140=(4)(7)w\\ 140=28w\\ 5=w[/tex]

Now that we have the width, can find the area of the top part of the prism:

[tex](5)(4)=20[/tex]

The area of the top part of the prism is 20, and the circle has 1/4 of the area of that:

[tex]A_{circle} = \frac{A_{top part} }{4}\\ A_{circle} = \frac{20}{4} \\ A_{circle} = 5[/tex]

So the area of the circle is 5. Now we just need to find the surface area of the rectangular prism and subtract that result with the area of the circle:

[tex]A_{circle}=5\\ SA_{rec.pri.}=2(lh+lw+wh)\\ SA_{rec.pri.}=2((4)(7)+(4)(5)+(5)(7))\\ SA_{rec.pri.}=2(28+20+35)\\ SA_{rec.pri.}=2(83)\\ SA_{rec.pri.}=166[/tex]

Subtract these two results...:

[tex]166-5=161[/tex]

And we are done!

Answer:

1.4722, 2.901, 2.9, 2.91

Step-by-step explanation:

Answer:

  Option 2

Step-by-step explanation:

The account balance multiplier for the compound interest option is ...

  (1 +r)^t = 1.05^8 ≈ 1.477455

The account balance multiplier for the simple interest option is ...

  (1 +rt) = 1 +0.06·8 = 1.48

Jadwa should choose option 2 for this investment. It will earn about £5.09 more in interest over the 8-year period.

_____

£2000 · (1.48 -1.477455) ≈ £5.09

__

In the above formulas, r is the interest rate, and t is the number of years.

Answer:

18 units²

Step-by-step explanation:

Find the side lengths then multiply the length and width to find the area.

Answer:

negative numbers don't have square roots. a square is either positive or 0, so your questions answer doesn't exist. if you want positive 7 though, 5.291502... etc

Answer:

Step-by-step explanation:

yasss its C

Answer:

Circumference of a circle

The expected result for each shot is a loss of $ 12.50, so if 100 people played, Sophie would win on average about $ 1250. Lastly, Sophie should charge $ 5.77 for this value to be fair.

Since Sophie charges you $ 25 to get a chance to shoot at a target, and if you hit the bullseye, you get a $ 100 (win $ 75), and if you miss the bullseye but are within two circles of it, you get your money back, and over the course of sophies career, she finds that 5% of people hit the bullseye and 30% of people miss but are within two circles, while all other contestants miss by further and lose; to determine what is the expected amount for you to win or lose; how much money would you expect Sophie to win or lose if 100 people played the game; and what should she charge to make this game fair, the following calculations must be performed:

Therefore, the expected result for each shot is a loss of $ 12.50, so if 100 people played, Sophie would win on average about $ 1250. Lastly, Sophie should charge $ 5.77 for this value to be fair.

Learn more about maths in https://brainly.com/question/25885499

Answer:

(u+2)-8

Step-by-step explanation:

sum is addition, less than is subtraction

Answer:

24

Step-by-step explanation:

all odd numbers possible: 1, 3, 5, 7

__ __ __ __

there are 4 possibilities for the first blank

for the second blank there are 4-1 = 3 possibilities as one of the numbers will have been used

for the third blank there are 4-2 = 2 possibilities as 2 of the numbers have been used

for the last blank there is only 1 possibility

so the number of solutions possible is 4 x 3 x 2 x 1 = 24

Answer:

all real numbers i think

Step-by-step explanation:

Hello there today we will solve your problem, we will need to factorize btw...

[tex]{\huge{\boxed{\mathfrak{Equation}}}[/tex]

[tex]{\big{\boxed{\frac{x^2-5x+4}{x^2-4x}}}}[/tex]

First we will factor [tex]x^2-5x+4[/tex], which gives us [tex]\left(x-1\right)\left(x-4\right)[/tex]

[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\frac{\left(x-1\right)\left(x-4\right)}{x^2-4x}\\[/tex]

factorize [tex]x^2-4x[/tex] giving us [tex]x\left(x-4\right)[/tex]

[tex]\frac{\left(x-1\right)\left(x-4\right)}{x\left(x-4\right)}[/tex]

cancel the common factor [tex]x-4[/tex]

and we get [tex]\frac{x-1}{x}[/tex]

Answer:

Step-by-step explanation:

any minus temperature is < 7oC

0 is < 7oC

1 ... 6 is < 7oC

Step-by-step explanation:

an object and its shadow create a right-angled triangle.

2 objects and their shadows create 2 similar right-angled triangles.

that means the angles are the same, and the side lengths of one triangle all correlate with the corresponding side lengths of the other triangle via the same factor.

so,

42 × f = 6

f = 6/42 = 1/7

the length of Joel's shadow is then

20 × f = 20 × 1/7 = 2.857142857... ft

Answer:

20.

Step-by-step explanation:

Plugging m = 7 and n = 5 into the given expression:

Answer = 4 + (7 - 5)^4

= 4 + 2^4

= 4 + 16

= 20.

Answer:

The second one:

x 2-2 3-3

y 5 5 7 7

Step-by-step explanation:

Each domain value or x can only have one range, y, so, with that said, the second one is the answer.

Answer:

X = 12

Step-by-step explanation:

8(12) = 96

[tex]\huge \bf༆ Answer ༄[/tex]

The Correct choice is ~ D

The given triangles are not congruent, because they they just have all their corresponding angles equal to one another, so we need more information ~

Answer:

B

Step-by-step explanation:

Answer:

b. d>-3/5

Step-by-step explanation:

L.C.M=5

5×1/5>5×d+4/5×5

1>5d+4

1-4>5d

-3>5d

-3/5>5d/5

-3/5>d

Answer:

y = 12x - 22

Step-by-step explanation:

If we first write the equation in vertex form and we identify it (I think you meant to simplify y) we get y = 12x - 22 as your answer!

Answer:

[tex]y=\frac{-x-3}{-2}[/tex]

Step-by-step explanation:

1. The first thing you should do is put it equal to 0:

   [tex]x-2y+3=0[/tex]

2. You want to get y by itself so the next thing you do is subtract 3 to the other side because it is being added right now. It should look like this:

[tex]x-2y+3=0[/tex]

            -3    -3

 [tex]x-2y=-3[/tex]

3. Since x is also being added on the left side of the equation you want to get x to the other side so you do the opposite of addition (subtraction) and subract the x to the other side of the equation:

 [tex]x-2y=-3[/tex]

-x              -x

[tex]-2y=-x-3[/tex]

4. The next thing you want to do is get rid of that -2. Right now it is being multiplied by the y and the opposite of multiplication is division, so you are going to want to divide -2 by both sides of the equation.

[tex]\frac{-2y}{-2} =\frac{-x-3}{-2}[/tex]

5. The -2's cancel out and the right side of the equation cannot be simplified anymore which makes the new or equivalent equation:

[tex]y=\frac{-x-3}{-2}[/tex]

The statement that accurately describes what Marisol should do next is that Marisol should go back and group the terms in Step1 as (6x³– 22x²) – (9x – 33) and it can be determined by using the factorization method.

Marisol grouped the terms and factored the GCF out of the groups of the polynomial [tex]\rm 6x^3- 22x^2- 9x + 33[/tex].

To factor out the common GCF out of the group, the following steps should have been taken by Marisol.

Marisol grouped the terms and factored the GCF out of the groups of the,

To factor out the common GCF out of the group, the following steps should have been taken by Marisol following all the steps given below.

        [tex]\rm= 6x^3- 22x^2- 9x + 33\\\\= (6x^3-22x^2) - (9x-33)[/tex]

        [tex]= (6x^3-22x^2) - (9x-33)\\\\= 2x^2(3x^2-11) -3(3x-11)\\\\= (2x^2-3) (3x-11)[/tex]

Hence, The statement that accurately describes what Marisol should do next is that Marisol should go back and group the terms in Step1 as (6x³– 22x²) – (9x – 33).

For more details about Polynomial refer to the link given below.

https://brainly.com/question/25914835    

Answer:

Step-by-step explanation:

Two hats were collected in the second month (5-3) =2.

[tex]\left(\dfrac{3^8}{3^5} \right)^3\\\\\\=\left(3^{8-5}\right)^3\\\\=(3^3)^3\\\\=(3)^{3\cdot 3}\\\\=3^9[/tex]

Answer:

  (b)  3 +x = 12

Step-by-step explanation:

To solve these for x, you would ...

  a) divide by 3

  b) subtract 3

  c) add 3

  d) multiply by 3

The subtraction property of equality says you can subtract the same value from both sides of an equation without affecting the value of the variable(s). It is applicable when you need to subtract a quantity in order to get the variable by itself.

Solving 3 +x = 12 would make use of the Subtraction Property.