Mathematics High School

What is the value of n in this equation 2^2 x2^n =(2^4)^3

Answers

Answer 1

Answer:

n = 10

Step-by-step explanation:

Using the rule of exponents

• [tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

• [tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

Then

2² × [tex]2^{n}[/tex] = [tex](2^4)^{3}[/tex]

[tex]2^{2+n}[/tex] = [tex]2^{12}[/tex]

Since the bases on both sides are equal, both 2 then equate exponents

2 + n = 12 ( subtract 2 from both sides )

n = 10

Related Questions

9.
There are only red beads and green beads in a bag.
The ratio of the number of red beads to the number of green beads is 5:9
(a) What fraction of the beads are red?

Answers

Answer:

Assume there are 5x red beads and 9x green beads

Total no. of beads = 5x+9x = 14x

Fraction of beads that are red = 5x out of 14x

or 5/14

if 1llM, find the value of Y.

Answers

Answer:

B 105

Step-by-step explanation:7x = 5x + 30 alternating interior angles

2x = 30

x =15

7x = y corresponding angles

7(15) = y

y= 105

how many hours are between 7:00 am and 10:25 am?​

Answers

3 Hours approximately

4. Solve the following equation for q. 5q- 4q + 6 = 4q - 8.
q = 4p - 14
q = 4p + 14
q = 4p - 2
q = 4p + 2

Answers

Answer:

q=4p-14

Step-by-step explanation:

> 5q-4q+6=4q-8

> 5q-4q+6+8=4p

> q+14=4p

> q=4p-14

Help me i really need this .no spam​

Answers

Question : 8

[tex]11 \sqrt{5} + 4 \sqrt{7} [/tex]

Question : 9

[tex]x = - 1[/tex][tex]y = - 3[/tex]

Question : 11

LHS isn't equal to RHS

Question : 12

[tex]x = \dfrac{ \sqrt{3} }{2 \sqrt{2} } [/tex]

Solution is in attachment ~

if f(x) is 10 what is x

Answers

Answer:

5

Step-by-step explanation:


1.) A number has 7 tens and 3 more ones than tens. What
is the number?
be

Answers

Answer:

80

Step-by-step explanation:

hope it helps . .. ..,......

Answer:

80

Step-by-step explanation:

7 tens = 70

3 more ones than tens = 3 + 7 = 10

10 ones = 10

70 + 10 = 80

The sum of four consecutive even integers is 132. What are the integers? (show your work)

Answers

Answer:  

n

,  

n

+

2

,  

n

+

4

and  

n

+

6

.

Step-by-step explanation:

Answer:

30, 32, 34, 36

sorry for bad handwriting

constant rate of 12 blocks and 6 minutes​

Answers

12 blocks per 6 minutes

So then:

2 blocks per 1 mintue

(12 / 6 = 2)

(not sure if you had an actual question, but here's a unit rate)

p/q=r/s (solve for q)

Answers

Answer:

q=pr/s

Step-by-step explanation:

p/q=r/s multiplication is the inverse of division so they cancel out. and you have to do the same thing to both sides so multiply both sides by "q" it cancels out on the left and stays on the right leaving you with

q=pr/s

pls give brainliest

Rewrite the following equation in slope-intercept form. Y + 4=1/3(x-6)​

Answers

Answer:

[tex]y=\dfrac{1}{3}x-6[/tex]

Step-by-step explanation:

Slope intercept form: y = mx + b

[tex]y + 4 = \dfrac{1}{3}(x -6)\\\\y + 4 = \dfrac{1}{3}x - \dfrac{1}{3}*6\\\\y + 4 =\dfrac{1}{3}x - 2\\\\y = \dfrac{1}{3}x - 2 - 4\\\\y =\dfrac{1}{3}x - 6[/tex]

100 points and brainliest to the first correct answer
I've done the work but I need to know what my new coordinates will be

Here's the question
Use the mapping (x+3, y-5), for the transformation of triangle ABC with vertices A(-2, -4), B(0, 0), and C(1, -3), find the coordinates of the new triangle A’B’C’ . You must show all your work.
And then here is the answer

You’re going to go left side three points and down five for every point on the graph (ABC) and once you do that label the ABC marks with an apostrophe like so; A’B’C’ for every time you change places

what is my new coordinates ?

Answers

Mapping value(x+3,y-5)

A(-2,-4)B(0,0)C(1,-3)

A'

[tex]\\ \sf\longmapsto (-2+3,-4-5)[/tex]

[tex]\\ \sf\longmapsto (1,-9)[/tex]

B'

[tex]\\ \sf\longmapsto (0+3,0-5)[/tex]

[tex]\\ \sf\longmapsto (3,-5)[/tex]

C'

[tex]\\ \sf\longmapsto (1+3,-3-5)=(4,-8)[/tex]

Graph attached

Answer:

Step-by-step explanation:

Point A(-2 ; -4) ⇒A(-2+3 ; -4-5) ⇒A(1 ; -9 ) Point B( 0 ; 0 ) ⇒B(0+3  ; 0-5) ⇒ B(3 ; -5  )Point C( 1 ; -3 )⇒ C(1+3 ; -3-5 )⇒C( 4 ;  -8 )Picture in the attached file

Original: $99.99
New: _________
Tax: 8.75
%Discount: 40%

Answers

Answer:

$68.74

Step-by-step explanation:

Original: $99.99

New: x

Tax: $8.75

Discount : 40%

Discounts are applied before tax.

40% of 99.99 = 0.40(99.99) = 39.996

99.99 - 39.996 = 59.994

Apply tax:

59.994 + 8.75 = 68.744 ≈ 68.74

-Chetan K

Answer: 68.74

Step-by-step explanation:

99.99 * .60 = 59.994

59.994 + 8.75= 68.744

Round

68.74

ANSWER THIS PLEASE!!!!

Answers

Given the points (0, -1) and (6, 1), we need the following information to solve for the equation of the line:

We need the slope and the y-intercept.

Let (x1, y1) = (0, -1)

(x2, y2) = (6, 1)

Substitute these values into the following slope formula:

[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{1 - (-1)}{6 - 0} = \frac{1 + 1}{6} = \frac{2}{6} = \frac{1}{3}[/tex]

Therefore, the slope (m) = 1/3.

Next, we need the y-intercept, (b), which is the point on the graph where it crosses the y-axis. It is also the value of the y-coordinate when its corresponding x-coordinate = 0.

Looking at one of the given points, (0, -1), this represents the y-intercept. Therefore, the y-intercept (b) = -1.

Now that we have our slope, m = 1/3, and y-intercept, b = -1, we can write our linear equation in slope-intercept form as:

y = 1/3x - 1

Please mark my answers as the Brainliest if you find this explanation helpful :)

Help quick please give an explanation too.
Kareem wanted to write an equation for his friend that has many solutions. Help him write an equation.

Answers

Answer: (x+2)*(x-4)*(x+21) = 0 has "many" solutions

Step-by-step explanation: (x+2) = 0 only has one solution.  

(x+2)*(x-4) = 0 has two solutions, -2 and 4

(x+2)*(x-4)*(x+21) = 0 has three solutions, -2, 4, and -21, etc

If "many" means more than three, then add another (x+XX) term.  A quadratic equation generally has two solutions.

The table gives information about the heights, in cm, of some children.
Height (in cm)
Frequency
140 7
150 17
160 20
170 6
Estimate the mean height, in cm, of the children.

Answers

The mean height would be 155

plz help will mark you as brainliest​

Answers

Plz help halpppppppp
The answer is B 30 degrees

3 Chiang Heng went to a store with $235. A water bottle cost $33, a keyboard cost $34 and a dictionary cost $35. Chiang Heng spent all of his money to buy seven items. How many of each item did he buy?​

Answers

Answer:

35÷33=564i3937202p33883

someone plss helpppppp​​

Answers

[tex]\displaystyle \left \{\begin{array}{ccc} 2y=x-12 \\\\y=2x^2+3x-4 \end{array } \right. \Rightarrow \begin{cases} y =\dfrac{x-12}{2} \\\\ 2x^2+3x-4=\dfrac{x-12}{2} \end{cases } \Rightarrow \\\\\\ 2x^2+3x-4=\frac{x-12}{2} \\\\4x^2+6x-8=x-12 \\\\4x^2+5x+4=0 \\\\ \rm D=25-4\cdot 4\cdot 4=-39 \\\\D<0 \ \displaystyle \Rightarrow\varnothing \\\\Answer : \large \boldsymbol{} \sf (x ; y) \notin \mathbb R[/tex]

What does the point (1,6) on the graph represent?

Answers

Answer:

1 table with 6 plates

Step-by-step explanation:

Answer:

6 plates per table

Step-by-step explanation:

every tabel has 6 plates :) easy <3


How many x-intercepts does the graph of y = y2 have?

Answers

If u mean y=x^2,
Then when x=0, let's substitute
y=0
So z-intercepts only at the origion

Please solve.. I will mark you brainliest

Answers

Answer:

z = -4

Step-by-step explanation:

[tex]6z - 16 = 2z \\ - 16 = - 6z + 2z \\ - 16 = 4z \\ - \frac{16}{4} = - 4 = z[/tex]

PLEASE ANWSER CORRECTLY!! I WILL MARK BRAINIEST!!!

Answers

Step-by-step explanation:

the midpoint is(-3,1)

that is the answer

Translate this sentence into an equation.

The sum of and Han's age is .

Use the variable to represent Han's age

Answers

Answer:

Variable means the letters represent the unknown number. So you can use any letter to represent Han's age......the most common letter "x, y, t, f, a, b" but you can use any letter

Step-by-step explanation:

PLEASE HELP WILL GIVE BRAINLIEST 5 STARS AND A THANKS DUE IN 1 HOUR AND A HALF!!

Answers

Answer: 2.3 / -3

Step-by-step explanation: If you want me to to explain it, just ask!

Answer:

y = -2.5/3x

Step-by-step explanation:

[tex]m = \frac{y2-y1}{x2-x1}[/tex]

[tex]m = \frac{7.5-5}{3-6}[/tex]

[tex]m = \frac{2.5}{-3}[/tex] or -0.83333

y = -2.5/3x

hope this helps

Find the GCF (Greatest Common Factor) of each pair of numbers:
16 and 20
15 and 28
33 and 66
78 and 30

Answers

1. 4
2. 1
3. 33
4. 6
Hope this helps! :)

What? I don’t under stand

Answers

Answer:

? = h

Step-by-step explanation:

v = lwh

v / wh = lwh / wh

v / wh = l

Hopefully this helped!

Brainliest please?

l=V/w[h]

Hope this helps

The variable "h" belongs in the green box

Expand [tex](\frac{2a}3} +\frac{3b}{4} )^{2}[/tex]

Answers

The answer is in the photo please

Suppose you are reaching into a bag that contains all the letters of the English alphabet, and you pull out one letter at random. What is the probability that you pull out the first letter of your first name? There are 26 letters in the English Alphabet

Answers

Answer:

1 in 26

Step-by-step explanation:

there's only one first letter in your first name, and twenty-six letters in the alphabet.

What is 4y-3x???Pls help for math

Answers

Answer:

No solution

Step-by-step explanation:

It's an expression, which means there isn't an answer. I feel like you've left out some needed information.

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