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To solve the equation [tex]2^{x-1} - 7 = 9[/tex], we add 7 to both sides make the bases the same, and equate the exponents.

Some common rules of exponents are

xᵃ×xᵇ = xᵃ⁺ᵇ.

xᵃ/xᵇ = xᵃ⁻ᵇ.

Addition and subtraction of exponents are only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.

Given, An exponential expression

[tex]2^{x-1} - 7 = 9[/tex].

[tex]2^{x -1} = 9 + 7.[/tex]

[tex]2^{x-1} = 16.[/tex]

[tex]2^{x-1} = 2^4[/tex].

x - 1 = 4.

x = 5.

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Answer:

Amount in Badria's wallet: 18

Amount in Khalid's wallet: 54

Amount in Yousif's wallet: 23

Step-by-step explanation:

[tex]h.[/tex]

hope it helps you

Answer:

c is the correct answer.

Explanation:

x < 0, x > 1

H matches the answer.

Volume of a figure is the measure of the space that figure occupies. The approximate volume of the specified container is 87.92 cm³

If the given sphere is of radius r units, then its volume is given as:

[tex]V= \dfrac{4}{3} \pi r^3 \: \rm unit^3[/tex]

For the given case, the radius of the sphere is given to be 21 cm, and the value of pi is instructed to be used  as 3.14

Thus, we have the volume of container as:

[tex]V = \dfrac{4}{3} \pi r^3 = \dfrac{4}{3} \times 3.14 \times 21 = 87.92 \: \rm cm^3{[/tex]

Thus,

The approximate volume of the specified container is 87.92 cm³

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Answer:

y = 3x - 10

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given:

Sum of all three is 36, the equation is below:

Correct choice is D

Answer:

x=8/9 y=-2/3

Step-by-step explanation:

you can subtract 3x on the first equation and then plug the y into the 2nd equation to find x then solve for y

Answer:

see explanation

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

Given

x² + y² + 10x - 6y + 14 = 0 ( collect the x/ y terms together and subtract 14 from both sides )

x² + 10x + y² - 6y = - 14

Using the method of completing the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(5)x + 25 + y² + 2(- 3)y + 9 = - 14 + 25 + 9

(x + 5)² + (y - 3)² = 20 ← in standard form

with centre = (- 5, 3 ) and r = [tex]\sqrt{20}[/tex] = 2[tex]\sqrt{5}[/tex]

Solution:

We know the following rules:

Now, let's solve each problem.

Question-7

Question-8

Hoped this helped!

Answer:

7. 4⁴ = 4x4x4x4=256
   4³= 4x4x4=64
   4²= 4x416

   4¹=4
   4⁰=1 ( as every number that has power 0 = 1)

8. (-2)⁴

=(−2)*(−2)*(−2)*(−2)

=(-2)⁴

=16

(−2)³

=(−2)*(−2)*(−2)

=(−2)³

=−8

(−2)²

=(−2)*(−2)

=(−2)²

=4

(−2)¹

=−2

(−2)⁰

=1 ( ( as every number that has power 0 = 1)

Answer:

x is 24° it is bcs triangle have at all 180°

that bigger one have 180-94-41=45° on right side

180-111-45=24° ez

Answer:

  see below for slopes and lengths

  scalene quadrilateral

Step-by-step explanation:

When calculations are repetitive, it is reasonable to let a spreadsheet do them.

 FG: slope: -4/5, length: √41 ≈ 6.40

  GH: slope: -5, length: √26 ≈ 5.10

  HI: slope: -1, length: 3√2 ≈ 4.24

  IF: slope: 4, length: √17 ≈ 4.12

All of the segments are different lengths, and none of them are parallel or perpendicular. The figure is a scalene quadrilateral.

__

As you know, the slope is calculated from ...

  m = (y2 -y1)/(x2 -x1)

and the length is calculated from ...

  d = √((x2 -x1)^2 +(y2 -y1)^2)

_____

In the attached spreadsheet, the slope and length are calculated from the point below. That is, the values on the line for F are for segment FG.

Answer:

I guess it's D since BC= 132: 12 = 11 or both of the two places divided by 12

Total amount of security deposit, deposited by three friends after paying the rent is $620.01. Option C is the correct option.

The monthly payment is the amount which is required to pay each month to pay off the borrowed principal amount or the rent of a service charged monthly.

The rent of the apartment is $650 per month. The rent of the two months (first and last) is,

[tex]M=2\times650\\M=1300[/tex]

This rent is paid by three friends. Thus, the amount which is paid by an individual friend is,

[tex]P=\dfrac{1300}{3}\\P=433.33[/tex]

They each paid $640 towards the total move in cost of first and last month's rent and a security deposit. Therefore,

[tex]P=640-433P=206.67[/tex]

Thus, $206.67 is paid by each of them towards security deposits. The total amount of security deposit, deposited by 3 of them, is,

[tex]SD=206.67\times3\\SD=620.01[/tex]

Hence, total amount of security deposit, deposited by three friends after paying the rent is $620.01. Option C is the correct option.



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The true statement about these triangles is that a triangle pre-image has side lengths of 12 and 5.

This is known to be a polygon that has three edges and also three vertices.

It is regarded as  a key shapes in geometry. A triangle that has a vertice of A, B, and C  as seen. The true statement about these triangles is that a triangle of that pre-image has side lengths.

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Answer:

not a dilation

Step-by-step explanation:

Answer:

Torrance spends 16$ on his brother

Step-by-step explanation:

You have 100$

So, we have

x (brother) + x (sister) + x (mother) = 100

But, since 10$ less will be spent on the sister than the brother, it becomes (x - 10) and twice + 6$ is spent on the mom, it also becomes (2x + 6)

Our equation then becomes

(x - 10) + x + (2x + 6) = 100

X will end up equaling 26. This is how much is spent on the sister.

(x - 10) will be substituted for (26 - 10), which equals 16.

I'm not sure if this is right so you might want to check with somebody (since I may be wrong) I hope this helps you understand how to basically do it though. <3

Answer:

5b. I think is 2.64 or 2.6

6b. I think is 12

Step-by-step explanation:

35-28=7 so square root of 7 might be 2.64 or 2.6

245-101=144 so square root of 144 might be 12.

sorry if 5 is wrong.

Reason: We subtract 77 from both sides

Answer:

The first option.

Step-by-step explanation:

You cannot repeat the x value if it is a function. The x value of 2 is repeated in the first option.

Answer:

Second option

Step-by-step explanation:

Given the following question:

[tex]8(6n+6)[/tex]

To find the answer we have to simplify the following expression and then simplify the options in till we have a equivalent answer.

[tex]8(6n+6)[/tex]
[tex]8\times(6n+6)[/tex]
[tex]8\times6n=48n[/tex]
[tex]8\times6=48[/tex]
[tex]48n+48[/tex]

Now one of these options after being simplified will be equal 48n + 48.

[tex]48+6[/tex]
Already simplified

First option isn't equivalent to the given expression.

[tex]8(n+5n+6)[/tex]
[tex]n+5n=6n[/tex]
[tex]8\times(6n+6)[/tex]
[tex]8\times6n=48n[/tex]
[tex]6\times8=48[/tex]
[tex]48n+48[/tex]

Second option is equivalent to the given expression.

Hope this helps.

Answer:

9

Step-by-step explanation:

you do the max- min. so 5-(-4) which is really 5+4=9

Answer:1. range(1,10,2) - 1 to 9 with a gap of 2 numbers each so it yields - 1,3,5,7,9 2. [-2,-4,-6,-8,-10] - range(-2,-11,-2) 3. (i) range(4,20)[2:5] - Generates the list of number…

example: 1.What sequence of numbers is equivalent to the given ranges?

range(1,10,2)

2.Express the following as a range.

[-2,-4,-6,-8,-10]

3.What do each of these expressions yield?

(1) range(4,20)[2:5] (2) list(range(10,60,4)[-2:1:-4] (3) range(3,12,4)[2]

(4) range(0,9,2)[:] (5) range(2,20)[-2:-10:-1] (6) range(3,18,2)[::2]

(7) range(1,33,6)[1::2] (8)range(-5,20,3)[-8:5:2]

Answer:

5 and 1/3 yards = 16 ft

So 16 ft + 2 extra ft

The total is 18 ft (C.)

Answer:

y =  -5x - 5

Step-by-step explanation:

y =  -5x - 5

Slope intercept form is y = mx + b where m is the slope and b is the y intercept.

-5 is the y intercept and -5/1 or -5 is the slope/

3-45 so just do it -

The correct answer is:  " [tex]j^(^-^4^)[/tex] "; or; write as:  " [tex]j^{-4}[/tex] ".

_______

Step-by-step explanation:

Given:  " [tex]\frac{j}{j^4* j}[/tex] " ;  assuming:  " [tex]j\neq 0[/tex] " ;
_______
We are asked to express the correct answer (i.e. simplying the expression in a specific manner):  "as a single term, without a denominator."  
_______
  As such, we can cancel out the "j" in the numerator, to "1" ; and cancel out the "j" in the denominator; to "1" ; since:  " j ÷ j = 1 " ;  

→  And we can rewrite the expression as:
   "  [tex]\frac{1}{j^{4}* 1 }[/tex] " ;

         =  " [tex]\frac{1}{j^4}[/tex] " ;
_______
Now, note the following property of exponents:
_______
   " [tex]x[/tex]⁽⁻ⁿ⁾ =  [tex]\frac{1}{x^n}[/tex] " ;  {" [tex]x\neq 0[/tex] "} ;
_______
Likewise:
  " [tex]\frac{1}{j^4}[/tex] ⇔ " [tex]j^(^-^4^)[/tex] " ; which is the correct answer:  

  →  " [tex]\frac{1}{j^4} = j^{-4}[/tex] " .
_______
Hope this is helpful to you!
_______

Hi! I will help you with a smile! :)

Answer:

[tex]\huge\boxed{j^{-4} }}\checkmark[/tex]

Hope it helps.

Please comment if you have any doubts.

Answered by

[tex]\fbox{PeacefulNature}[/tex]

[tex]\text{Enjoy Your Day, Evening, or Night!}[/tex]

Answer:

7+X/2=10 answer is 6

Step-by-step explanation:

Answer:

x = 9/4

Step-by-step explanation:

f(x) = 4x - 9

(first substitute f(x) with 0)

0 = 4× - 9

(Move four)

-4x = -9

=> x = -9/-4

= 9/4

Answer:

false

Step-by-step explanation:

Determine whether24:30  and 3:7/2 are equivalent therefore making it False