Which of the following is the solution to the equation 25^(z − 4) = 125? (6 points)

Answers

Answer 1

Answer:

Sent you this for a reference so please do the needful to me ASAP as I am now working on the same and I will be sending the same

Answer 2

Answer:

z = [tex]\frac{11}{2}[/tex]

Step-by-step explanation:

Using the rule of exponents

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

[tex]25^{z-4}[/tex] = 125 [ 25 = 5² and 125 = 5³ ]

[tex](5^2)^{z-4}[/tex] = 5³

[tex]5^{2z-8}[/tex] = 5³

Since the bases on both sides are equal, both 5, then equate the exponents

2z - 8 = 3 ( add 8 to both sides )

2z = 11 ( divide both sides by 2 )

z = [tex]\frac{11}{2}[/tex] ( = 5.5 )


Related Questions

It costs £420 for six tickets how much would 5 tickets be

Answers

5 tickets would be £350

On Monday the temperature was 12°C. On Tuesday it decreased by 12°C. Which expression can be used to represent this situation?​

Answers

334 uuu rrr try juice iijyt you

she does 3 sets of 8 pushups 7 days a week, how many pushups does she do in one week

Answers

Answer:

24 push ups

3 x 8 = 24

ksjsjsowjsnsoajjsodhew

(x+4)+(x-3)+(2x+2)+(x^2+3x+1)

Answers

Answer:

X^2+7x+4

Step-by-step explanation:

Nishi invests £4700 at 6% interest per year. Work out how much she will have altogether after: 2 years- £ 5 years- £ 7 years- £ 10 years- £

Answers

Answer:

Step-by-step explanation:

To calculate the compound interest we want to multiply the amount of money (£4700) by the interest (6%) which would be the percentage multiplier!

To get the new amount we do:

Original amount × (percentage multiplier)ⁿ

The amount of years would be the indices.

For the first year:

£4700x1.06= £4982.

But we want to find out how much she will have altogether in different years.

So for two years:

£4700x1.03²= £5280.90 (rounded)

As you can see the amount of years will be the indices with the interest as our multiplier.

We do this again for 5 years and 10 years:

£4700x1.06⁵= £6289.70 (rounded)

£4700x1.06¹⁰=£8416.20 (rounded)

Hope this helps!

(5^-4/4^-6) multiplied by 5^3

Answers

Step-by-step explanation:

(5^-4/4^-6) multiplied by 5^3

4⁶×5³/5⁴

4⁶/5

819.2

Answer:

[tex]{ \tt{ (\frac{ {5}^{ - 4} }{ {4}^{ - 6} } ) \times {5}^{3} }} \\ \\ = { \tt{ \frac{ {5}^{ - 4} . {5}^{3} }{ {4}^{ - 6} } }} \\ \\ { \tt{ = \frac{ {5}^{ - 1} }{ {4}^{ - 6} } }} \\ { \tt{ = \frac{ {4}^{6} }{ {5}^{1} } }} \\ = { \tt{ \frac{4096}{5} }} \\ \\ = 819.2[/tex]


A water tank has a dimension 3 m long, 1.8 m wide and 2.2 m
high. It has a capacity of:

Answers

Answer:

The answer is 11.8 m

Step-by-step explanation:

Hey Mate,

the volume of a cuboid is = whl....so the volume of it is the capacity of the tank

so 3 x 1.8 x 2.2 = 11.88 m is the answer

20 points for this make sure u explain

Answers

Answer:

it literally says +10

Step-by-step explanation:

scammer

Answer:

Step-by-step explanation:

6,7,8

The graph shows the function f(x) = 2*.
What is the value of x when f(x) = 8?
a ) 0
b) 3
c) 1
d) 2

Answers

Answer:

3

Step-by-step explanation:

you can see this on the graph; just find 8 on the y axis and look for the value of x that corresponds to it

Determine the location and values of the absolute maximum and absolute minimum for given function : f(x)=(‐x+2)4,where 0<×<3

Answers

Answer:

Where 0 < x < 3

The location of the local minimum, is (2, 0)

The location of the local maximum is at (0, 16)

Step-by-step explanation:

The given function is f(x) = (x + 2)⁴

The range of the minimum = 0 < x < 3

At a local minimum/maximum values, we have;

[tex]f'(x) = \dfrac{(-x + 2)^4}{dx} = -4 \cdot (-x + 2)^3 = 0[/tex]

∴ (-x + 2)³ = 0

x = 2

[tex]f''(x) = \dfrac{ -4 \cdot (-x + 2)^3}{dx} = -12 \cdot (-x + 2)^2[/tex]

When x = 2, f''(2) = -12×(-2 + 2)² = 0 which gives a local minimum at x = 2

We have, f(2) = (-2 + 2)⁴ = 0

The location of the local minimum, is (2, 0)

Given that the minimum of the function is at x = 2, and the function is (-x + 2)⁴, the absolute local maximum will be at the maximum value of (-x + 2) for 0 < x < 3

When x = 0, -x + 2 = 0 + 2 = 2

Similarly, we have;

-x + 2 = 1, when x = 1

-x + 2 = 0, when x = 2

-x + 2 = -1, when x = 3

Therefore, the maximum value of -x + 2, is at x = 0 and the maximum value of the function where 0 < x < 3, is (0 + 2)⁴ = 16

The location of the local maximum is at (0, 16).

4x-10+1.5x-4x+11=8.5-6

Answers

Answer:

x=1

Step-by-step explanation:

4x-10+1.5x-4x+11=8.5-6

Combine like terms

1.5x+1=2.5

Subtract 1 from each side

1.5x+1-1=2.5-1

1.5x = 1.5

Divide by 1.5

1.5x/1.5 = 1.5/1.5

x=1

Answer:

x=1

Step-by-step explanation:

Given :

4x-10+1.5x-4x+11=8.5-6

4x+1.5x-4x=8.5-6-11+10

1.5x=1.5

x=1

Value of x=1

Congruent angle pairs : find value of x and the value of y

Answers

the answer is C x=50 y=10

What is the recursive formula for this geometric sequence?
-3, -21, -147, -1029, ...

Answers

(-3)(7)^(n-1)
The common multiplier is 7 but the actual formula you take the first term then multiply it by the multiplier raised to the n-1

This is for Algebra 2 please someone help T^T

Answers

Answer:

-(a)^2 + a - 11

Step-by-step explanation:

N - T = -3(a)^2 + 2a - 5 - (-2(a)^2 + a + 6)

        = -3(a)^2 + 2a - 5 +2(a)^2 - a - 6

        = -3(a)^2 + 2(a)^2 + 2a - a - 6 -5

        = -(a)^2 + a - 11

1. Harsha makes a scale drawing of a window. She uses the scale 1cm represents 20cm.
A).on her drawing the window is 6cm wide. How wide is the window in real life?
B).The window in real life is 2.2m high. How high is the window on the scale drawing?
Give your answer in centimeters.​

Answers

Part (A)

(1 cm)/(20 cm) = (6 cm)/(x cm)

1/20 = 6/x

1*x = 20*6

x = 120

120 cm = 120/100 = 1.2 m

Answer:  1.2 m

=========================================================

Part (B)

2.2 m = 2.2*100 = 220 cm

(1 cm)/(20 cm) = (x cm)/(220 cm)

1/20 = x/220

1*220 = 20*x

20x = 220

x = 220/20

x = 11

Answer: 11 cm

A cubical reservoir has capacity of 480000 l itters of liquid. If ifs length and breadth are 10m and 8m respectively, find the hight of the reservoir.​

Answers

Answer:

Height = 6000 m

Step-by-step explanation:

[tex]Volume = length \times breadth \times height \\\\480000 = 10 \times 8 \times height\\\\480000 = 80 \times height\\\\height = \frac{480000}{80} = 6000 \ m[/tex]

Given the system of equations.
{-4x+y = 3
{2x - y = 12
Which of the options represents the resulting equation after an equivalent expression for y ls substituted into the
second equation.
2x - (4 X+3) = 12
-4(4y+)+y=3
2 (4x+3) - y
-4x+4 x-3=3

Answers

Answer:

A. 2x - (4x + 3) = 12

Step-by-step explanation:

A. 2x - (4x + 3) = 12

B. -4(4y+)+y=3

C. 2 (4x+3) - y

D. -4x+4 x-3=3

Given equation:

-4x+y = 3. (1)

2x - y = 12. (2)

From (1)

y = 3 + 4x

Substitute y = 3 + 4x into (2)

2x - y = 12 (2)

2x - (3 + 4x) = 12

Or

2x - (4x + 3) = 12

2x - 4x - 3 = 12

- 2x = 12 + 3

- 2x = 15

x = 15/-2

x = -7.5

Substitute x = -7.5 into (1)

-4x+y = 3 (1)

-4(-7.5) + y = 3

30 + y = 3

y = 3 - 30

y = -27

??? What’s the answer

Answers

let's calculate the front face area and then multiply by 8cm to get the volume

18cm*24cm / 2 *8cm

= 1728cm³

the mean age of 8 people is 16 years. when mrs. hernandez's age is included, the mean age increases to 20. how old is mrs. hernandez?

Answers

Answer:

52

Step-by-step explanation:

8*16 = 128

8*20 = 180

180-128 =52

4
On Monday, Lucy had
$40.00. She spent $12.00
on lunch on Tuesday. On
Wednesday, Lucy's mother
found $6.90 in change and
gave half of the money to
Lucy. How much money
does Lucy have now?

Answers

Answer:

40-12=28

28+3.45=31.45

so now lucy has 31.45

Your Welcome

BIFFY OUT!!!

What is the slope of the line shown below?
10
O A-4
5
B. -2
ရှိ မရှိ ။
(2,4)
C. 2
10
15
45
O D. 4
10

Answers

Answer:

C) 2

Step-by-step explanation:

find the measure of the missing angle (#4 btw)

Answers

Answer:

Step-by-step explanation:

1)

∠1 = ∠2     {Angles opposite to equal angles are equal}

∠1 = ∠2 = x

x +x + 55 = 180  {angle sum property of triangle}

2x + 55 = 180

        2x = 180 - 55

        2x = 125

          x = 125/2

x = 62.5

∠1 = 62.5

2) ∠2 = 62.5

3) ∠3 = 55         {Vertically opposite angles are congruent}

4) ∠4 + 105 = 180        {linear pair}

∠4 = 180 - 105

4 = 75

5) ∠3 + ∠4 + ∠5 = 180 {Angle sum property of triangle}

    55 + 75 +∠5 = 180

            130 + ∠5 = 180

                     ∠5 = 180 - 130

5 = 50

Solve: -8.8 > 2.3
I don't understand this- can someone help?

Answers

Well you can't really solve it but it's false.

It's should be -8.8 < 2.3

> means "is greater than"

< means "is less than"

I need help asap!!!! 13 points​

Answers

If IK is the whole length of the line segment, then IJ + JK = IK.

IJ + JK = IK

(3x - 5) + (2x - 1) = (3x + 2)

3x + 2x - 5 - 1 = 3x + 2

5x - 6 = 3x + 2

2x - 6 = 2

2x = 8

x = 4

Now that we know the value of x, we can plug this value back into the expression for JK and evaluate.

JK = 2x - 1

JK = 2(4) - 1

JK = 8 - 1

JK = 7

Hope this helps!

the length of JK is 7

This is because JK + IJ = IK which means 2x-1+3x-5=3x+2
When you simplify this you will get x=4
You then plug 4 into your equation for JK so 2(4)-1 which equals 7

Find the volume of each shape.

Answers

Step-by-step explanation:

1. length ×breadth ×height

12× 6 ×3= 216

2. A is the area of the base, h is the height

18×16=288

3.10×14×5=700

Answer:

21. 216m^3

22. 4071.5m^3

23. 700m^3

Step-by-step explanation:

21. V =  L*W*H

V = 3*6*12

V = 216

22. V = [tex]\pi r^{2} h[/tex]

The diameter is 18 so the radius is 9

V = [tex]\pi[/tex](9^2)(16)

V= 4071.50408

23.  V =  L*W*H

V= 10*5*14

V=700

Please help!
The table shows the game scores of five players. Andy’s brother, Kevin, also plays and gets a score of 9. Find the mean, median, and mode of the data in the table. Then, find the mean, median, and mode of the data in the table and Kevin’s score.

Answers

Answer:

The third one

Step-by-step explanation:

Median - Middle number in terms of value

Mode - outcome that appears the most

Mean - average ( add the numbers together and divide that by the amount of numbers )

Data without Kevins score

13, 21, 28, 9, 31

First let's find the mean

To find the mean we simply add the numbers up and divide that by the total amount of numbers ( there are 5 numbers )

13 + 21 + 28 + 9 + 31 = 102

102/5=20.4

So the mean without Kevins score is 20.4

Next let's find the mode

The mode is the number that appears the most

Looking at the data no number appears more than once so there is no mode

Finally let's find the median.

To make it easier to find let's list the numbers in order from least to greatest

9, 13 , 21 , 28, 31

We then go to the middle number ( which would be 21 )

The mode is 21

So for data without Kevins score the mean would be 20.4, the median would be 21 and the mode would be none

Now let's add in Kevin's score and repeat this process

Data with Kevin's score

13, 21, 28, 9, 31, 9

First let's find the mean

( Note that there is 6 numbers this time )

13 + 21 + 28 + 9 + 31 + 9 = 111

111/6 = 18.5

So mean with Kevin's score = 18.5

Next let's find the mode

The number 9 appears the most so the mode is 9

Finally let's find the mean

Once again let's list the numbers from least to greatest

9, 9, 13 , 21 , 28, 31

Because there is an even amount of numbers we will take the sum of the two middle numbers and divide that by 2

The two middle numbers would be 21 and 13

21 + 13 = 34

34/2=17

So median = 17

In the end we get the following

Without Kevins score

Mean = 20.4

Median = 21

Mode = none

With Kevin's score

Mean = 18.5

Median = 17

Mode = 9

This information corresponds with the third table

Evaluate.

3·(7-3)²=?

Answers

48

Explanation:
3•(7-3)^2
=3•4^2
=3•16
=48
Have a nice day!

In parallelogram EFGH if m∡GHE=160 find ∡m∡EFG

Answers

Answer:

160°

Step-by-step explanation:

since it is a parallelogram it's opposite angles must be equal . So,

angle GHE = angle EFG

160 degree = angle EFG

Kofi paid rent of GH¢ 1,800.00 each year. If the rent is 0.3 of his annual income, find his annual income

Answers

Answer:

To find = his annual income

solution = annual income be = x

0.3 of x = 1,800

= 0.3x = 1, 800

= x = 6, 000

Annual income of GH¢ is = 6 , 000

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

Please help I’ll give brainliest

Answers

Exponent Laws

For this question, we will need to know that when we divide two numbers with the same base but different exponents, we must subtract the exponents.

[tex]\dfrac{a^m}{a^n}=a^{m-n}[/tex]

Solving the Question

[tex]\dfrac{9^5}{9^3}[/tex]

Subtract the exponents:

[tex]9^2[/tex]

Answer

[tex]9^2[/tex]

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