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

Help please I would really appreciate it thank you so much

Answers

Answer:

12 in the first blank

20 in the second one

Step-by-step explanation:

12 because it is 8+4

20 because it is 60/3

Which of the following graphs represent the dilation of
the given triangle XYZ with the center of dilation at the
origin with a scale factor 3?


Please I need it fast

Answers

Answer:

12y

Step-by-step explanation:

A set of composite numbers less than 12 .express it in listing and set builder methods​

Answers

Given:

A set of composite numbers less than 12.

To find:

The set by listing and set builder methods​.

Solution:

Composite number: A positive integer is called a composite number if it has at least one divisor other than 1 and itself.

Composite numbers less than 12 are 4, 6, 8, 9, 10.

By using the listing method , the given set can be expression as:

Set = {4, 6, 8, 9, 10}

The numbers 4, 6, 8, 9, 10 are greater than 1, less than 12 and non prime numbers.

By using set builder method, the given set can be expression as:

Set = [tex]\{x|x\neq P,1<x<12\}[/tex]

Therefore, the list and set builder notation of the given set are {4, 6, 8, 9, 10} and [tex]\{x|x\neq P,1<x<12\}[/tex] respectively.

Pls help ..
if A =
[4 3] is a singular matrix, find 'a'
[ a 3]​

Answers

Answer:

a = 4.

Step-by-step explanation:

We know that:

[tex]A = \left[\begin{array}{ccc}4&3\\a&3\end{array}\right][/tex]

is a singular matrix, now we want to find the value of a.

We know that a matrix is singular if:

Det [A] = 0

Where remember that the determinant of a 2x2 matrix is given by:

[tex]M = \left[\begin{array}{ccc}k_{11&k_{12\\k_{21}&k_{22}\end{array}\right]\\\\det[M] = k_{11}*k_{22} - k_{12}*k_{21][/tex]

Then the determinant of A is:

Det [A] = 4*3 - a*3

and that must be zero, so:

4*3 - a*3 = 0

Now we just need to find the value of a:

12 - a*3 = 0

12 = a*3

12/3 = a

4 = a

So the value of a is 4.

which equation has the steepest graph?
A. y=7x+3
B. y=8x-1
C. y=-10x-4
D. y=-2x+6

Answers

The answer to this question would be C. Y=-10x-4

While in France, Judy wants to sign up for a bike tour to see the countryside. She likes a tour that is 40 kilometers long, but she isn't sure how far that is. She decides to estimate the distance in miles. If Judy uses the fact that 1 kilometer is about 0.6 miles, what will her estimate be?

Answers

Answer:

24 Miles

Step-by-step explanation:

We multiply:

40 * 0,6 = 24 miles

2 sin2 (π/2 sin2x)=1+cos(π×cos2x)

Answers

Answer:

3/5Step-by-step explanation:

[tex]the \: equation \: is \: equivalent \: to \\ 2 \: { \sin }^{2} (( \: \frac{\pi}{2}) \: {cos}^{2} x ) = \\ \: 2 \: {sin}^{2} (( \frac{\pi}{2} sin \: 2x \: ) \\ = {cos}^{2} x = sin \: 2x \\ = \: \cos \: x(cos \: x \: - \: 2 \: sin \: x) \: = \: 0 \\ = \: 1 - 2 \tan \: x = 0 \: as \: cos \: x \: ≠ 0 \\ x ≠ (2n + 1) \frac{\pi}{2} \\ = \tan(x) = \frac{1}{2} \\ = \cos(2x) = \frac{1 - {tan \: }^{2}x }{1 + {tan \: }^{2} \:x } = \frac{3}{5} [/tex]

HOPE IT HELPS!!!!

If it is correct mark as BRAINLIEST ✌️

Please help will be marked as brainliest if correct

Answers

Answer:

I think the answer is three.

Here is a picture of my work. The answer is 3. Hope this helps:)

simplify

x - ( - 6 x )​

Answers

Answer:

7x

Step-by-step explanation:

Answer:

answer

x - ( - 6x )

x + 6x

= 7x

A ship goes at the rate of (3m-2) knots per hour. How far can it travel in (4m+9) hours?

Answers

Answer: [tex]12m^2+19m-18[/tex]

Step-by-step explanation:

Given

Speed of boat [tex]v=3m-2\ \text{knots per hour}[/tex]

[tex]\text{time t= }4m+9\ \text{hours}[/tex]

[tex]\Rightarrow \text{Distance =speed}\times \text{time}[/tex]

[tex]\Rightarrow \text{Distance d=}(3m-2)\cdot (4m+9)\\\Rightarrow d=12m^2+19m-18[/tex]

Please help as soon as possible! Round your answers to one decimal place, if necessary. Find the mean and median of these data: 2, 5, 13, 15, 18, 20. tysmmm!

Answers

Answer:

Mean= 12.2

Median= 14

Step-by-step explanation:

The mean of the data can be calculated as follows

= 2+5+13+15+18+20/6

= 73/6

= 12.2

Mean= 12.2

The median can be calculated as follows

Arrange the numbers in an orderly way

2, 5, 13, 15, 18, 20

= 13+15/2

= 14

Median= 14

Can someone please be generous & help I’ve been stuck here for a whole hour

Answers

The answer is 1/2d+4=12

The 1/2 is because she is lending half the collection and the +4 is because Clara buys 4 more. It equals 12 because that’s the number that she has now. If you solve for d it gives the original number of dresses in her collection

Answer:

Answer: 16 Step-by-step explanation: a:2+4 =12 a:2=12-4 a:2=8 a=8 ×2 a=16 dresses  

Step-by-step explanation:

complete the solution find the value of y when x equals 1 9x+7y=-12

Answers

9(1)+7y=-12, 7y=-12-9/7 , y= -3

I hope that helps and best of wishes !!

SOMEBODY PLEASE HELP

Answers

Answer:

x=40

Step-by-step explanation:

1/5x=8

x=8*5=40

x=40

help please asap!!! working too please not just the answers!!​

Answers

Answer:

Area = 4600m

explanation: I worked it out in the image attached if that helps let me know if you need a more in depth explanation step by step

Answer:

244280

Step-by-step explanation:

you divide it into three rectangles so you have three diffenet products of 6480+57800+180000 to get 244280

How much is 3 lbs of gold worth I’m American money

Answers

Answer:

$1865

The gold calculator is a gold melt value calculator which can be used to determine the value of gold metal inside an item with a known weight and gold purity. These items may include gold jewelry (such as, bangles, bracelets, chains, earrings, necklaces, pendants, and rings), gold bullion and gold coins.

The gold calculator is designed to calculate the gold metal value for one item at a time. If you would like to calculate the gold metal value for multiple items simultaneously consider using the scrap gold calculator for scrap gold, the gold bullion calculator for gold bullion bars and coins, and the gold coin calculator for gold coins.

What is the distance between point P and point R?

Answers

Answer:

PR = 10

Step-by-step explanation:

PR = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The coordinates for P and R are (0,4) and (-6,-4) respectively.

So you plug in the values:

PR = [tex]\sqrt{(-6-0)^2+(-4-4)^2}[/tex]

PR = [tex]\sqrt{(-6)^2+(-8)^2}[/tex]

PR = [tex]\sqrt{36+64}[/tex]

PR = [tex]\sqrt{100}[/tex]

PR = 10

the cost for renting a car is $29.00 a day plus $0.29 for every kilometre after the first 100 km. what is the cost of renting a car after 14 days and 320 km?
(linear equations)

Answers

Answer:

$469.80

Step-by-step explanation:

First, let's find out how many fees would be paid exclusively for renting it out for 14 days.

29.00 * 14 = $406

They have to pay 406 dollars just for having the car for 14 days.

Now let's find out how much will need to paid for driving for 320 km.

We can first take away 100 km because the fee only starts afterwards.

320 - 100 = 220

220 * 0.29 = 63.8

63.80 + 406 = 469.80

22/9 divided by 8, please hurry test is timed!

Answers

Answer:

0.30(5)

the 5 is repeating

Step-by-step explanation:

calculator

How do you find the equation of a line of a triangle when given the area and one set of coordinates?

Answers

The straight line through two points will have an equation in the form y = m x + c . We can find the value of , the gradient of the line, by forming a right-angled triangle using the coordinates of the two points.

The function rule C = 40n + 210 relates the number of months n to cost in dollars C of a phone plan and budget phone. Make a table of the input/output pairs to show the cost of the phone and phone plan after 2, 12 and 24months

Answers

The cost of the the phone and phone plan after 2, 12 and 24months is $290, $690 and $1170 respectively.

What is a linear equation?

A linear equation is in the form:

y = mx + b

Where y,x are variables, m is the rate of change and b is the initial value of y.

Given the equation:

C = 40n + 210

Where C is the cost of a phone plan for n number of months.

After 2 months; C = 40(2) + 210 = 290

After 12 months; C = 40(12) + 210 = 690

After 24 months; C = 40(24) + 210 = 1170

The cost of the the phone and phone plan after 2, 12 and 24months is $290, $690 and $1170 respectively.

Find out more on linear equation at: https://brainly.com/question/14323743

Alicia is a music artist. Her income can be represented by the function, f(a) = 200 + 12a, where a represents the total number of albums sold.

What is an acceptable domain for this situation?

Answers

Answer:

The answer is below

Step-by-step explanation:

A function shows the relationship between the set of inputs (independent variable) to the set of outputs (dependent variables).

The domain of a function is the set of possible inputs (independent variable) that satisfies the functions.

From the question, the domain of the function is the set of all possible vales of the inputs which is a (number of album sold).

Hence the domain of the function is:

0 < a < ∞

9r^6/ 5r^3g^2, 5n^5c^-6 times 2n^-5c^3, and 9g^-4yA^4/3g^6y^-2 using properties of exponents, all this for 10 points

Answers

Answer:

Step-by-step explanation:

5n⁵c⁻⁵ *  2n⁻⁵c³ = (5*2)*n⁵⁺⁽⁻⁵⁾ * c⁻⁶⁺³

                          =10*n° *c⁻³

                           = 10c⁻³               (n° = 1}

[tex]a^{m}*a^{n}=a^{m+n}\\\\\frac{a^{m}}{a^{n}}=a^{m-n}\\\\\\\frac{9r^{6}}{5r^{3}g^{2}}=\frac{9}{5g^{2}}*r^{6-3}\\\\=\frac{9r^{3}}{5g^{2}}\\\\\\\\\frac{9g^{-4}y^{4}}{3g^{6}y^{-2}}=\frac{9}{3}*g^{-4-6}*y^{4-(-2)}\\\\=3*g^{-10}*y^{4+2}\\\\=3g^{-10}*y^{6}\\\\=\frac{3y^{6}}{g^{10}}[/tex]

1
Solve these simultaneous equations using the elimination method

4x + y = 23
x + y = 8​

Answers

Answer:

y= 3, x= 5

Step-by-step explanation:

4x+y=23

-x-y=-8

3x/3=15/3

x=5

for y

x+y=8

5+y=8

y=8-5

y=3

x=5

y=3

A regular hexagon is to be cut out of a circular sheet of metal that has a radius of 6
inches.

Approximately how many square centimeters of sheet metal will be left over as
scraps?
A. 32.9 square centimeters
B. 93.5 square centimeters
C. 113.1 square centimeters
D. 126.2 square centimeters

Answers

The correct answer to your problem would be “d”

for the diagram below, which equation is the correct use of the distance formula?

Answers

Answer:

????

Step-by-step explanation:

Where's the equation? diagram?

Answer:

How we supposed to answer with no equation

Step-by-step explanation:

Please helppppppp meeee

Answers

Answer:

angle K is 30 degrees

Step-by-step explanation:

A triangle adds up to 180 degrees. since LM and KM are congruent angle L and M are both 75 degrees each you subtract from 180 and you get 30 degrees

Please help I’ll give brainllist

Answers

The answer is C :) hope this helps
5 mph I’m pretty sure x

How to solve for "Find the equation of the line that is perpendicular to y = -2/3x and contains point (4,-8)" ?

Answers

Answer:

[tex]y=\frac{3}{2}x+(-14)[/tex]

Step-by-step explanation:

Equation of a line has been given as,

[tex]y=-\frac{2}{3}x[/tex] --------(1)

Slope of the line is,

[tex]m_1=-\frac{2}{3}[/tex]

By the property of perpendicular lines,

If the two lines having slopes [tex]m_1[/tex] and [tex]m_2[/tex] are perpendicular to each other, [tex]m_1\times m_2=-1[/tex]

Therefore, slope of the line perpendicular to the line (1) will be,

[tex]-\frac{2}{3}\times m_2=-1[/tex]

[tex]m_2=\frac{3}{2}[/tex]

If this line passes through a point (4, -8) equation of the line will be,

[tex]y-y'=m_2(x-x')[/tex]

[tex]y+8=\frac{3}{2}(x-4)[/tex]

[tex]y=\frac{3}{2}x-6-8[/tex]

[tex]y=\frac{3}{2}x-14[/tex]

Find the simple interest on $600.00 saved for 2 years 8 months at 5℅ per annum.​

Answers

Answer:

$80

Step-by-step explanation:

I = Prt

P = 600

r = 5%

t = 2 yrs and 8 mos = 8/3 yrs

I = 600(0.05)(8/3)

I = $80

Answer:

I believe the answer is $80.001.

Step-by-step explanation:

i used a calculator

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