(x^4)^2
how do I simplify this expression?

Answer:

45^45=2025, so the last digit is 5.

Step-by-step explanation:

[tex]\boxed{\sf (a-b)^3=a^3-3a^2b+3ab^2-b^3}[/tex]

[tex]\\ \sf\longmapsto 64a^3-(b-c)^3[/tex]

[tex]\\ \sf\longmapsto 64a^3-(b^3-3b^2c+3bc^2-c^3)[/tex]

[tex]\\ \sf\longmapsto 64a^3-b^3+3b^2c-3bc^2+c^3[/tex]

[tex]\\ \sf\longmapsto 64a^3-b^3+c^3+3b^2c-3bc^2[/tex]

Answer:

Step-by-step explanation:

[tex]Remember:\\\\\boxed{x^3-y^3=(x-y)(x^2+xy+y^2)}\\\\64a^3-(b-c)^3\\\\=(4a)^3-(b-c)^3\\\\=(4a-(b-c))(16a^2+4a(b-c)+(b-c)^2)\\\\=(4a-b+c)(16a^2+4ab-4ac+b^2-2bc+c^2)\\[/tex]

The best unit for measuring the distance between two cities is kilometer.

Answer:

(a+b+c) (x+y+z)

Step-by-step explanation:

hope this helps to uh

Step-by-step explanation:

x+y+z+bx+by+bz+cx+cy+cz

Take Like terms

x+bx+cx+y+by+cy+z+bz+cz

x(b+c)+y(b+c)+z(b+c)

(x+y+z)(b+c)

hope it helps

Answer:

no solution

Step-by-step explanation:

14a – (2a + 9) = (12a - 18)

Distribute the minus sign

14a – 2a - 9 = (12a - 18)

12a -9 = 12a -18

Subtract 12a from each side

12a -9-12a = 12a-18-12a

-9 = -18

This is not a true statement so there is no solution

Answer:

$159

Step-by-step explanation:

$348-189

=$159

Answer:

1 1/4 =c

Step-by-step explanation:

4 1/6 = 3 1/3c

Change the mixed numbers to improper numbers

4 1/6 = ( 6*4+1)/6 =25/6

3 1/3 = ( 3*3+1)/3 = 10/3

25/6 = 10/3c

Multiply each side by 3/10

25/6 * 3/10 = 10/3c * 3/10

3/6 * 25/10 = c

1/2 * 5/2 =c

5/4 =c

Change back to a mixed number

1 1/4 =c

Answer:

25

Step-by-step explanation:

let x = 36

y =  9

x2 = 100

y2 = y2

y : x :: y2 : x2

We know,

Product of means = Product of extremes

That is,

y(x2) = x(y2)

Substituting the values,

9(100) = 36(y2)

=> 36(y2) = 900

=> y2 = 900/36

=> y2 = 25

so when x = 100, y =25

Answer:

[tex] - 9 \sqrt{48} - 8 \sqrt{12} \\ = - 9 \times 4 \sqrt{3} - 8 \times 2 \sqrt{3} \\ = - 36 \sqrt{3} - 16 \sqrt{3} \\ = \sqrt{3} ( - 36 - 16) \\ = \sqrt{3} \times - 52 \\ = - 52 \sqrt{3} \\ thank \: you[/tex]

Answer:

16 units squared

Step-by-step explanation:

shape: square (ALL equal sides)

length: 4

width: 4

4 X 4 = 16

Your answer is in the attachment .

Note: I have only done upto q.n d because you haven't clearly uploaded question of no. e. stay blessed !!!!!!

Answer:

15.87%

Step-by-step explanation:

*Probability-Below 15.87%

Z1=-1

*x-1 38

*µ 44

*σ 6

The probability that a randomly selected student has a typing speed of less than 38 words per minute is 15.87%.

The Z-score, or standard score, is the number of standard deviations a given data point lies above or below mean.

z = (x -μ)/σ

Where,

Z is standard score.

x is observed value.

μ is mean of the sample.

σ is standard deviation of the sample.

The area under the normal distribution curve represents probability.

According to the given question.

Mean, μ = 44

Standard deviation, σ = 6

Observed value, x = 38

Therefore, z-score = [tex]\frac{38-44}{6}= -1[/tex]

So, the are P(z > -1) = 15.87%

Hence, the probability that a randomly selected student has a typing speed of less than 38 words per minute is 15.87%.

Find out more information about z-score and probability here:

https://brainly.com/question/25638875

#SPJ2

Answer:

infinite number of solutions

Step-by-step explanation:

-12x - 2y = -4.

add 12x on both sides

-2y = 12x -4.

divide by -2

y = -6x + 2

Answer: D. Infinite number of solutions.

Step-by-step explanation: On Edge!

Answer:

134°

Step-by-step explanation:

∠BAC = ∠BCA because it is an isosceles triangle

∠XCA = ∠XAC .  Congruent angles

∠XAC = 1/2(46) = 23° .  because CE bisects ∠ C

∠XCA = 23°

180° - 23° - 23° = 134° .  Sum of all angles in a triangle is 180°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

The sum of 5 numbers with an average of 5 more than 5 is 50

Step-by-step explanation:

Let the first five letters of the alphabet be equal to the 5 numbers being summed.

Let the average be represented by the following equation:

[tex]\frac{a + b + c + d + e}{5} = 10[/tex]

To find the sum, we should get rid of the denominator. To do that we multiply 5 on both sides

[tex]\frac{a + b + c + d + e}{5} (5) = 10(5)\\a + b + c + d + e = 50[/tex]

Therefore, we see to it that the sum of the 5 numbers is 50.

a. x + 13 = 0

x = -13

x-7= 0

x= 7

b. 2x +3 = 0

2x = -3

x= -3/2 or -1.5

3x -7 = 0

3x = 7

x = 7/3

c. x = 0

or x = 3

these you have to change it into that form first

d. x= 5

or x = 0

e. x= 7

or x = -5

f. x = 1/3 or -5

Answer:

The $300 charge will last until the new phone is paid off. After that the monthly charge will be $40 only.

The range of the function will be between $40 and $340:

Correct choice is C

Now

[tex]\\ \rm\hookrightarrow \mathbb{R}=(x,y)[/tex]

[tex]\\ \rm\hookrightarrow \mathbb{R}=(40,300)[/tex]

Answer:

Bot #11

Step-by-step explanation:

If you picked bot 12 in 5 second it produces 21 clicks which means if you add another 5 second it will be 10 second with 42 clicks. But, if you pick the bot with 17 clicks per 4 second, 8 seconds it will already be 34 clicks and 10 seconds half of 17 is  8/5 which in 10 seconds it produces 42.5 which shows the first bot produces more.

#1

[tex]\\ \sf\Rrightarrow -2x=-3x+14[/tex]

[tex]\\ \sf\Rrightarrow -2x+3x=14[/tex]

[tex]\\ \sf\Rrightarrow x=14[/tex]

#2

[tex]\\ \sf\Rrightarrow x^2-3y+12[/tex]

[tex]\\ \sf\Rrightarrow 5^2-3(5)+12[/tex]

[tex]\\ \sf\Rrightarrow 25-15+12[/tex]

[tex]\\ \sf\Rrightarrow 10+12[/tex]

[tex]\\ \sf\Rrightarrow 22[/tex]

Answer:

well, only 87 people were asked. How did they get 482?

also, they should have asked the people in the library.

A function in mathematics is a relation between two sets such that each element of the first set is matched to exactly one of the second set element

The correct option for the maximum velocity of the object is the option;

13 cm/s

The reason for the selection is as follows:

The known parameters of the motion of the vehicle are:

The type motion of the vehicle = Repetitive back and forth

The path of the motion of the object = Along a straight line

The function that gives the velocity in centimeters per second (cm/s) is given as follows;

[tex]v(t) = \mathbf{13 \cdot sin \left(\dfrac{\pi}{45} \cdot t \right)}[/tex]

Where;

t = The time in seconds (a set of the input variables of the function)

v(t) = The velocity of the object (the output variables of the function)

The velocity of the object, v(t), depends (is given by) on the time t, therefore;

The maximum velocity is given at a particular value of t, which together with [tex]\dfrac{\pi}{45}[/tex] is operated by the sine function

The maximum output value of the sine function = 1, therefore;

[tex]\mathbf{Maximum \ value \ of \ sin \left(\dfrac{\pi}{45} \cdot t \right)_{max}} = 1[/tex]

[tex]The \ maximum \ velocity \ v(t)_{max}} = 13 \times sin \left(\dfrac{\pi}{45} \cdot t \right)_{max} = 13 \times 1 = \mathbf{ 13}[/tex]

The units of the of the function is cm/s

Therefore, the maximum velocity of the object is 13 cm/s

Learn more about functions here:

https://brainly.com/question/23999020

Answer: B. 13 cm/s

Step-by-step explanation:

Answer:

5(2x + 8) = –33 + 53

10x + 40 = –33+53

10x= –33+53–40

10x = –20

x = –20/ 10

x = – 2

I hope I helped you^_^

Answer:

240766 - 52731x + 840x^2 + 144x^3

Answer:

hi

Step-by-step explanation:

mad

Hi there!  

»»————-　★　————-««

I believe your answer is:  

15cm²

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Area of a rectangle is:}}\\\\A = l * w\\----------------\\\rightarrow L = 5; w = 3\\\\\rightarrow A = 5 * 3\\\\\rightarrow A = \boxed{15cm^2}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer: x= 19/21.

Step-by-step explanation:

We can expand the expression to:

28x - 8x^2 - 35 + 10x -4x + 8x^2 - 4 + 8x = -1

We can then cancel the - 8x^2 and the + 8x^2 and simplify further by adding like terms:

38x - 35 + 4x -4 = -1 --> 42x - 39 = -1

We can then add 39 on both sides:

42x = 38

We can then divide both sides by the GCF (greatest common factor), 2:

21x = 19

We divide both sides by 21:

x = 19/21

Answer:

31/4

= 7.75

So Mark has to average more than 7.75 homeruns per week.

Step-by-step explanation:

Mark me as brainliest.