If a - 3 = 3^2/3 + 3^1/3, find the value of a^3 - 9a^2 + 18a.​

Answers

Answer 1

Answer:

a(a-6)(a-3)

Step-by-step explanation:


Related Questions

Christine chose cds to bring on her vacation. She bought 7 country cds and 3 rock cds. She will pick 1 cd at random and play it and put it back. What is the probability the first cd she picks us a country cd and then a rock cd

Answers

Answer:

probably 2 out of 10

Step-by-step explanation:

because it's 2 cds out of ten

What is the value of 4p − 2, when p = 8?
What is the value of the expression when n = 3?

Answers

Answer:

The first one would be 30.

Step-by-step explanation:

First you multiply the 8 x 4, because the 4 and P are multiplying you just substitute the variable, and then substract 2.

The value of 4p - 2 when p=8 is
4*8 - 2=30
When p=3
4*3-2=10

Hope this helps :)

A designer is creating various open-top boxes by cutting four equally-sized squares from the corners of a standard sheet of 8.5 inch by 11 inch paper, and then folding up and securing the resulting 'flaps' to be the sides of the box. Let x represent the varying side length of the square cutouts in inches. Let l , w , and h represent the varying length, width and height of the box (in inches), respectively. Note that the width and length dimensions are such that w < l . Let V represent the varying volume of the box in cubic inches. Write formulas for length, width, and volume of the box, each in terms of x .

Answers

Answer:

L(x) = 11 - 2x

W(x) = 8.5 - 2x

V(x) = 4x³ - 39x² + 93.5x

Step-by-step explanation:

If a square of x sides length is cut from each corner of the sheet, then it meas the length and width of the box a shortened by x inces from each side, giving a total subtraction of 2 times x inches.

FORMULA FOR LENGTH:

Since, Length is the bigger side of the box. Therefore, it will be taken on 11 inches side of the paper:

L(x) = 11 - 2x

FORMULA FOR WIDTH:

Since, width is the smaller side of the box. Therefore, it will be taken on 8.5 inches side of the paper:

W(x) = 8.5 - 2x

FORMULA FOR VOLUME:

Volume is the product of length, width and time:

V(x) = L(x)*W(x)*H(x)

Height must be equal to the side folds which are equal to length of the side of square = x:

H(x) = x

Therefore,

V(x) = (11 - 2x)(8.5 - 2x)(x)

V(x) = (93.5 -22x -17x + 4x²)(x)

V(x) = 4x³ - 39x² + 93.5x

2 books cost 60 dollars how much will it cost for 5 books

Answers

Answer:

150 $

Step-by-step explanation:

60 :2 =30$cost a book

5×30 =150 $cost 5 books

Or

2 books..... 60 $

5 books...... x$

x=60 ×5 :2

x=300 :2

x=150$

Answer:

60 divided by 2 is 30 meaning 30$ for each book times 5 = 150 $

Step-by-step explanation:

hope i helped

please help quickly!!!! i only have 5 minutes left ill give brainliest

Answers

Answer:

y=1/3x+2

Step-by-step explanation:

To solve, you plug in each vaule for x and y in the table. If it is a true statement for more than 1 answer, thats the correct answer

Answer: C

Step-by-step explanation:

I had this question before

I dont understand do I multiply four to get the area?

Answers

Answer:

yes

Step-by-step explanation:

3×5×45=365m²

Answer:

yes

Step-by-step explanation:

A study is performed in a large southern town to determine whether the average amount spent on food per four-person family in the town is significantly different from the national average. A random sample of the weekly grocery bills of two-person families in this town is given in the file. Assume the national average amount spent on food for a four-person family is $150.
a. Identify the null and alternative hypotheses for this situation.
b. Is the sample evidence statistically significant? If so, at what significance levels can you reject the null hypothesis?
c. For which values of the sample mean (e.g., average weekly grocery bill) would you reject the null hypothesis at the 1% significance level? For which values of the sample mean would you reject the null hypothesis at the 10% level?
Family Weekly food expense
1 $198.23
2 $143.53
3 $207.48
4 $134.55
5 $182.01
6 $189.84
7 $170.36
8 $163.72
9 $155.73
10 $203.73
11 $191.19
12 $172.66
13 $154.25
14 $179.03
15 $130.29
16 $170.73
17 $194.50
18 $171.14
19 $175.19
20 $177.25
21 $166.62
22 $135.54
23 $141.18
24 $158.48
25 $159.78
26 $157.42
27 $98.40
28 $181.63
29 $128.45
30 $190.84
31 $154.04
32 $190.22
33 $161.48
34 $113.42
35 $148.83
36 $197.68
37 $135.49
38 $146.72
39 $176.62
40 $154.60
41 $178.39
42 $186.32
43 $157.94
44 $116.35
45 $136.81
46 $195.58
47 $129.44
48 $146.84
49 $165.63
50 $158.97
51 $210.00
52 $175.46
53 $159.69
54 $154.56
55 $152.95
56 $177.30
57 $129.23
58 $127.40
59 $167.48
60 $183.83
61 $157.39
62 $163.24
63 $165.01
64 $137.43
65 $177.37
66 $142.68
67 $150.04
68 $161.44
69 $166.13
70 $190.96
71 $187.19
72 $116.63
73 $159.73
74 $159.64
75 $142.44
76 $153.03
77 $143.12
78 $156.35
79 $182.70
80 $129.03
81 $119.06
82 $137.99
83 $144.20
84 $183.51
85 $169.67
86 $134.66
87 $202.94
88 $143.43
89 $170.52
90 $139.53
91 $159.31
92 $134.77
93 $165.48
94 $127.20
95 $168.16
96 $125.39
97 $167.96
98 $178.64
99 $134.38
100 $111.87

Answers

Step-by-step explanation:

H0: u = 150

H1: u ≠ 150

Total sum = 15933.24

N = 100

Mean = 15933.24/100

= 159.3324

σ² = 25954.03 - (159.3324)²/100

σ² = 556.213

σ = √556.213

σ = 23.8162

Testing hypothesis

t = (bar x - u)/ σ/√n

= 159.3324-150/23.8162/√100

= 3.91

We will have a p value of 0.02

0.0002 < 0.01

We reject null hypothesis at 1% level of significance

C. Mean = 159.3324

Se= 2.3936

Df = 100-1 = 99

Critical value at 0.01 = +-2.626

T = x-u/s.e

= -2.626 =( x -150)/2.3936

When we cross multiply and solve this

X = 143.714 for the lower tail

2.626 = (x-159)/2.3936

= 156.286 for upper tail.

We therefore reject H0 at

Bar X <= 143.71

Bar X >= 156.286

At 10%

Critical t = 1.660

-1.660 = (x - 150)/2.3936

Solving this ,

X =146.02 at the lower tail

1.660 = (x-150)/2.3936

X = 153.97

We reject H0 at

X<= 146.03

X>=153.97

A cell phone company charges $25 per month, plus $0.10 per text message sent. Before taxes, Susie’s bill was $80 for 3 months of service. How many text messages did Susie send during those 3

Answers

50 text messages

let m = the number of months
let t = each message sent

25m + 0.1t = 80

plug 3 in for m (because 3 months)
25(3) + 0.1t = 80

simplify
75 + 0.1t = 80

subtract 75 from 80
0.1t = 5

divide 5 by 0.1
t = 50

answer: 50 text messages

What is wrong with this "proof"?"Theorem" For every positive integern, ifxandyare positive integers with max(x, y) =n,thenx=y.Basis Step: Suppose thatn= 1. If max(x, y) = 1 andxandyare positive integers, we havex= 1 andy= 1.Inductive Step: Letkbe a positive integer. Assume that whenever max(x, y) =kandxandyare positive integers, thenx=y. Now let max(x, y) =k+ 1, wherexandyare positiveintegers. Then max(x−1, y−1) =k, so by the inductive hypothesis,x−1 =y−1. Itfollows thatx=y, completing the inductive step.

Answers

Answer:

Every step is wrong in the proof theorem

Step-by-step explanation:

The inductive step :  whenever max(x, y) = k and x and y are positive integers, then x = y. is wrong because

If max (x,y ) = k + 1 then max ( x-1, y-1 ) = k

and by inductive hypothesis : x-1 = y-1 and x =y

example :

max ( 2, 3 ) = 3 where x = 2 , y =3

and x ≠ y hence the inductive step is wrong

If a =3.6 and b=10 then ab=

Answers

Answer:

36

Step-by-step explanation:

ab = a*b

a=3.6

b=10

3.6*10

=36

Simplify the expression.

(x4y2)1/2
A) 2(x4y2)
B) x1/8y1/4
C) x2y
D) x8y4

Answers

Answer:

C)

when you distrbe you get x^2 y

a charity raised about 8200. if the amount of money was rounded to the nearest hundred dollars, what ciuld have been the exact amount?

Answers

Answer:

Anything from 8150 to 8249

please help me with this question!!!

Answers

first calculate the slope by change in y over change in x
it’s -0.334
then find y intercept
-6

so all together
-0.334x-6

Simplify. i^221 please help

Answers

221 = 220 + 1 = 4 * 29 + 1

So

i ²²¹ = i ²²⁰ i ¹ = i ⁴*²⁹ i = (i ⁴)²⁹ i = 1²⁹ i = i

since i ⁴ = 1.

Write the equation for the vertical line going through the point (16,25).​

Answers

Answer:

x=16

Step-by-step explanation:

Vertical lines are of the form

x=

Since the x coordinate is 16

x=16

Answer: 16

Step-by-step explanation: x is on 16

what is 8.42 times 10 to the 3rd power​

Answers

Answer:

8420

Step-by-step explanation:

10 to the third power will move the decimal point three place values to the right. So, the first two times you move it, you get 842, and so there is a 0 on the end to signify that it moved the third time.  

Please help and the answer be right thanks

Answers

Answer: 3 x 10 (exponent 4)

Step-by-step explanation: Tip you should down load an app called Photomath. You take a picture of your math problem and it tells you the answer tells you the steps on how to do it. It only works for math number problems only not word problems. I hope this helps :)

The scale of a map is 6 km = 4 mi. What is the length on the map if the actual is 40.1
miles.

Answers

Answer:

60.15 km

Step-by-step explanation:

If 6 km on the map represents 4 mi on land, then we'd get the answer by using the relation

6 km -> 4 mi

x km -> 40.1 mi

Where x km is the length on the map we're looking for. If we cross multiply

6 * 40.1 = 4x

240.6 = 4x

x = 240.6/4

x = 60.15 km.

That is the length we're looking for

Six multiplication problems involved in solving 325 x 89

Answers

Answer:

(300*80) + (300*9) + (20*80) + (20*9) + (5*80) + (5*9) = 28925

Step-by-step explanation:

Given;

325 x 89

Expand 325 = 300 + 20 + 5

Expend 89.0 = 80 + 9

now multiple to two expanded numbers;

(300 + 20 + 5) x (80 + 9)

distribute the number accordingly as follows;

(300*80) + (300*9) + (20*80) + (20*9) + (5*80) + (5*9), now we have Six multiplication problems.

= 24,000 + 2700 + 1600 + 180 + 400 + 45

= 28925

In the diagram, $AB,$ $BC,$ $CD,$ $DE,$ $EF,$ $FG,$ $GH,$ and $HK$ all have length $4,$ and all angles are right angles, with the exception of the angles at $D$ and $F.$


If perpendicular $EM$ is drawn from $E$ to $DF$ (a close-up is shown below), and if $x$ is the length of $EM,$ then what is $x^2$?

Please help with hints! - no solutions -

If u give a full solution I will report u :P
Also, trolls just wanting to get the 50 points will be reported!

Thanks for the help in advance :)

Answers

Hint: There are some right angles here. What do right angles do in triangles?

Answer:

8

Step-by-step explanation:

Please see the attachment down below.

Hope this helped! :)

18
-20 please find the answer​

Answers

-2 because since the top number is a positive number isn’t bigger than the negative number so it will be -2

What is the unit rate of 27:24

Answers

Answer:

It's nine 9...........

Step-by-step explanation:

Its nine

Answer:

9

Step-by-step explanation:

Notice that 27 can be factored out as 3 * 3 * 3

and 12 can be factored out as: 2 * 2 * 3

then when we study the ratio 27/12, we can cancel out a factor 3, leaving us with:   (3 * 3) / (2 * 2) = 9 / 4

Then 9 is the number you need to type in the box.

What is the value of X? x +31 equals 66

Answers

Answer:

35

Step-by-step explanation:

Simply subtract 31 from 66 to receive the value of x

Answer:

X = 35

Step-by-step explanation:

Take 31 over to the other side so the equation looks like this

[tex]x = 66 - 31[/tex]

Then, solve for 66 - 31.

You will end up with x = 35.

You can also check your work by substituting X with 35.  

Hopefully this helped :)

c(n) = -6 + 5(n-1) Find the 8th term in the sequence.​

Answers

Answer:

I think it is 29

Step-by-step explanation:

-6+5((8)-1)=29

halp pls will give brainlkiest

Answers

Answer:

The 1st one

hope this helped :)

(-4)(2)(-3)(6)=(-4)(-3)(2)(6) is POSITIVE because (-#)(-#)=+ and (+#)(+#)=+, so the answer is A

Which expression is equivalent to -2(1 - 4n)?

Answers

Answer:

-2+8n

Step-by-step explanation:

we can distribute the -2 inside the parentheses to find an equivalent expression.

-2(1-4n)

(-2)(1)+(-2)(-4n)

-2+8n

there's your answer!

5. Jaxson was filling his pool. When he started, it already contained 486 gallons. He filled it for
95 minutes with water coming out of a hose at a rate of 8.4 gallons per minute.
(a) How many gallons of water are in the pool at the end of 95 minutes?

Answers

Answer:

1284 gallons

Step-by-step explanation:

95 minutes*8.4 gallons=798 gallons

486 + 798 = 1284 gallons after 95 minutes

What is the value of the expression below when x=8? 10x+5

Answers

1. Plug in 8 into x.
The equation will be 10(8)+5
2. Solve multiplication
80+5
3. The answer is 85! Hope this helped <3

What is the answer for 2

Answers

Answer:

C

Step-by-step explanation:

73.89 x .05 = 3.6945

but to round it will become 3.69

Answer:

C. $3.69

Step-by-step explanation:

73.89 × 0.05 = $3.6945$3.6945 rounds to $3.69

I hope this helps!

What is the midpoint between the following two points
(3,-2) & (9,2)


A) (6,0)
B) (0,6)
C) (3,1)
D) (3,2)

Answers

Answer:

B, (6,0)

Take the average of the x values and the average of the y values:

(3+9)/2 = 6

(-2+2)/2 = 0

This means the answer (the average (midpoint) of the two points) is (6,0)

Other Questions
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