Solve the equation: 25^2n+1=625

Answers

Answer 1

Answer:

The value of n is 1/2.

Step-by-step explanation:

[tex] {25}^{2n + 1} = 625[/tex]

[tex] log_{25}(625) = 2n + 1[/tex]

[tex]2 = 2n + 1[/tex]

[tex]2n = 1[/tex]

[tex]n = \frac{1}{2} [/tex]

Answer 2

The solution for the given equation is n=624/625.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 25²n+1=625.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here, 625n+1=625

625n=624

n=624/625

Therefore, the solution for the given equation is n=624/625.

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Related Questions

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Show the reflection of the given points. Locate the points of the reflection in their proper position around the x-axis.​

Answers

9514 1404 393

Answer:

  see below

Step-by-step explanation:

Each point reflected in the x-axis will be as far below the axis as the original point is above the axis. The horizontal location of the point does not change; only the sign of the y-coefficient changes.

Given mlln, find the value of X.

Answers

Answer:

65°

Step-by-step explanation:

180-115=65

Have a great day

Answer:

[tex]\displaystyle\Huge \bf\red{\underline{\underline{ANSWER}}}

[/tex]

Let the speed of the train be x km/hr and the speed of the bus is y km/hr.

So according to question and using

[tex] \huge \boxed{\sf{Time = \frac{Distance}{speed}}}

[/tex]

Total distance =300 km

Mansi travels 60 km by train and 300−60=240 by bus in 4 minute,

[tex] \bf\frac{60}{x} + \frac{240}{y} = \red4

[/tex]

and 100 km by train, 300−100=200 by bus, and takes 10 minutes more,

[tex] \bf {\frac{100}{x} + \frac{200}{y} = 4 + \frac{1}{6} = \frac{24 + 1 }{6} = \purple{\frac{25}{6}}}

[/tex]

Now, let

[tex]\bf\color{blue}{\frac{1}{x} = a}[/tex]

and.

[tex] \bf \color{blue}{ \frac{1}{y} = b }[/tex]

[tex]\bfthen 60a+240b=4.............(1)[/tex]

[tex]\bf100a+200b=25/6----(2)[/tex]

multiply (1) by 5 and (2) by 6 we get

[tex]\bf300a+1200b=20..........(3)[/tex]

[tex]\bf600a+1200b=25...........(4)[/tex]

Subtracting (3) and (4) we get

[tex]\bf \green{−300a=−5}[/tex]

[tex]\bf{a = \frac{1}{60}}[/tex]

Putting the value of a in (1) we get

[tex]\bf{60 \times \frac{1}{60} + 240b = 4}[/tex]

[tex]

\bf240b = 3 \\ \\ \bf b = \frac{1}{80} [/tex]

Now ,

[tex] \bf\frac{1}{x} = a \\ \\ \bf \red{a = 60 km/h \: \blue \bigstar}[/tex]

[tex] \bf\frac{1}{y} = b \\ \\ \bf \red {b = 80 km/h \: \pink \bigstar} [/tex]

Hence, the speed of the train is 60 km/hr and the speed of the bus is 80 km/hr.

James rolls a number cube, with sides labeled 1 through 6, two times. What is the probability James will roll an even number the first roll, and roll a number greater than 4 the second roll?

Answers

Answer:

1/6

Step-by-step explanation:

WILL MARK BRAINLIEST!!!!! PLZ HELP NEED IN 10 MINUTES!!!!
Transversal c intersects lines a and b. Prove that a||b in each case.
FILL IN THE STATEMENT REASON CHART!!! WILL ONLY ACEPPT THOSE ANSWERS!!!​

Answers

'a' is parallel to 'b' because both agree with the same - side exterior theorem

What is the same - side theorem?

It states that when two parallel lines are cut by a third intersecting line (transversal line), eight angles are formed and these angles form different relationships with each other, called same-side exterior.

Same-side tells us that exterior tells us that both angles are exterior, or outside, of the parallel lines.

In the figure, angles a, b, c, and d are exterior to the parallel lines.

We can then say that;

a is parallel to b because both agree with the same - side exterior theorem

Hence, 'a' is parallel to 'b' because both agree with the same - side exterior theorem

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What is the answer to 12-2u=9u+45

Answers

Answer:

u = -3

Step-by-step explanation:

12 - 2u = 9u + 45

2u - 12 = -9u - 45

2u + 9u = 12 - 45

11u = -33

u = -33/11

u = -3

PLEASE HELP ME I WILL VOTE BRAINLIEST

Answers

ok what do you need help with?

Answer:

I don't see any thing

Step-by-step explanation:

i need help with this pleaseee

Answers

Answer:5 percent

Step-by-step explanation: subtract new amount minus old amount then divide then make the decimal you get into and change to a percent

Identify an equation that models the situation and find its solution. Kane planned to build a 53-centimeter-tall model of a building. He later decided to increase the model's height to 159 centimeters. What was the increase of the model's height in centimeters?

Answers

Answer:

The increment in the model is 106cm

Step-by-step explanation:

Given

[tex]Initial\ Height = 53cm[/tex]

[tex]Final\ Height = 159cm[/tex]

Required

Determine the increment

To do this, we simply subtract the initial height of the building from the final height

[tex]Increment = Final\ Height - Initial\ Height[/tex]

[tex]Increment = 159cm - 53cm[/tex]

[tex]Increment = 106cm[/tex]

Hence, the increment in the model is 106cm

HELP PLEASE !!! 15 POINTS

Answers

Y=1/2X+2 (the third one)

can someone help me​

Answers

Answer:

67

Step-by-step explanation:

ad 71 and 42 113 then take that away from 180.

Prove that the angles in the same segment of a circle are equal.

Answers

Answer:

Given - A circle with centre at O .

To Prove - angle poq = 2 angle paq .

Proof - angle poq = angle paq -------- 1.

Similarly :

POQ =2 PBQ

From 1

2 PBQ = 2 PAQ

Angle PBQ = Angle PAQ .

HENCE PROVED...

what is the solution 2/3x + 5 = 1

Answers

Answer:

x = -6

Step-by-step explanation:

subtract 5 from both sides

2/3 x = -4

multiply by 3

2x = -12

divide by 2

x= -6

Answer:

2=x

Step-by-step explanation:

2/3x+5=1

2/3 is also like division so lets do it this way:

2÷3x+5=1

           -5    -5

______________________-

2÷3x=-4

·3x     ·3x

__________________-

2=-4·3x

+4   +4

______________-

6=3x

÷ 3    ÷3

_______________

2=x

Hope this helps

solve for x.

8x/7+9=30

Answers

x=18 (3/8)
(8x/7) +9 = 30
subtract 9 from both sides
8x/7=21
multiply 7 from both sides
8x=147
divide 8 from both sides and you get
x=18 (3/8)

2z z =-5 divided by -2

Answers

Answer:

-3x-y=5

y-2z=7

x-4y+z=-9

Step-by-step explanation:

Help??
5/4(-20) + 26 =

Answers

Answer:

1

Step-by-step explanation:

sorry if wrong

ask if you need work

Answer-

The answer to this problem is 1

Explanation-

5 x -20/4 + 26 =
-100 divided by 4 + 26 =
-25 + 26 =

1

Hope this helped :)

what is the answer to ...

Answers

Answer:

corresponding

Step-by-step explanation:

corresponding angles are equal

Haydin chooses a jersey at random and then replaces it. He then selects a second jersey at random. What is the probability that Haydin selects a striped jersey both times?

Answers

Question:

Haydin chooses a jersey at random and then replaces it. He then selects a second jersey at random. What is the probability that Haydin selects a striped jersey both times. 2 are striped,5 are colored and 3 are white.

Answer:

[tex]Probability = 0.04[/tex]

Step-by-step explanation:

Given

[tex]Striped = 2[/tex]

[tex]Colored = 5[/tex]

[tex]White = 3[/tex]

Required

Determine the probability that both selections are stripped

This is calculated as:

[tex]Probability = P(Stripped) * P(Stripped)[/tex]

[tex]Probability = \frac{n(Stripped)}{Total} * \frac{n(Stripped)}{Total}[/tex]

[tex]Probability = \frac{2}{2 + 5 + 3}* \frac{2}{2 + 5 + 3}[/tex]

[tex]Probability = \frac{2}{10}* \frac{2}{10}[/tex]

[tex]Probability = \frac{4}{100}[/tex]

[tex]Probability = 0.04[/tex]

Answer:

1/25

Step-by-step explanation:

4 as fraction 1/25 which is the probability

find the slope between the two points. (2, -8) and (-1,1)​

Answers

-3 is the slope.


Explanation:

We would use the slope formula for this.

Slope formula: y2-y1/x2-x1

1-(-8)/-1-2

9/-3
-3

Which equation shows y=3x−15 in standard form?
15x+y=-1
15x-5=1
5x-15y=1
5x-15y=-1

Answers

Answer:

the correct answer would be I think 5x-15y=1

Step-by-step explanation:

I have already learned that

Answer:

it's 5x - 15y = 1

Step-by-step explanation:

Hope this helped have a wonderful day!!! :)

Two lines intersect parallel lines m and n as shown. What is the value of x? A)24 B) 48 C)60 D) 66

Answers

Answer:

C. 60

Step-by-step explanation:

48+72=120

x=180-120

x=60

The value of x from the given diagram is 60 degrees

The sum of the interior angle of a triangle is 180 degrees. Since the two lines intersect parallel lines m and n, then;

m<3 = 48 degrees (alternate interior angle)

Taking the sum of angle in the triangle;

m<3 + x + 72 = 180

48 + x + 72 = 180

120 + x = 180

x = 180 - 120

x = 60 degrees

Hence the value of x from the given diagram is 60 degrees

Learn more on line geometry here: https://brainly.com/question/17721067

Can someone tell me the answer too this, Denver,Colorado often experiences snowstorms resulting in multiple inches of accumulating snow during the last snowstorm the snow accumulated at 4 5 in./h if there's no continues at this rate for 10 hours how much snow will accumulate

Answers

Answer:

8 inches

Step-by-step explanation:

Given that:

Rate of Snow accumulation = [tex]\frac{4}{5}\ in/hr[/tex]

Time for which the snow gets accumulated at the same rate = 10 hours

To find:

How much snow will get accumulated if the snow keeps accumulating at the same rate ?

Solution:

To get the amount of snow that got accumulated, we need to multiply the rate of snow accumulation with the time for which the snow kept on accumulating.

Formula:

Amount of snow accumulated = Rate of snow accumulation [tex]\times[/tex] Time taken for snow accumulation

[tex]\Rightarrow \dfrac{4}{5}\times 10\\\Rightarrow 4\times 2\\\Rightarrow \bold{8\ inches}[/tex]

Therefore, 8 inches of snow got accumulated.

Jonas is making a trail mix recipe that calls for 3 cups of nuts and 1 cup of raisins. Jonas mixes the nuts and raisins together. He will then divide the mixture into plastic bags containing ½ cup of trail mix in each bag. How many plastic bags does Jonas need?

Answers

Answer:

8

Step-by-step explanation:

What other angles are equal to the measurement of angle 2?

A. 1,4,7
B. 3,6,7
C. 4,5,6

Answers

Answer:

B) 3, 6, 7

Step-by-step explanation:

angle 2 is opposite to angle 3 = ∠2 = ∠3

angle 2 is the same as angle 6 = ∠2 = ∠6

angle 6 is opposite to angle 7 = ∠6 = ∠7

see image below

What is the meaning of life in ur own words
Mine is: Ive had a rough week lots of work, tests, a break up, a fight, and those are the things that i remember from my week. the bad moments, yeah Life can suck to be honest but theres beautiful moments that u cant forget, there is the hard times that everyone hates, but there is always good times which are the ones that count :)

Answers

The meaning of life is to find the right person, smash them (if yk then yk) and marry them, then you’ll be happy from smashing them, you’ll be motivated to do things so more money for a classier lifestyle (ig from your SO encouraging you to get the $$), then you’ll get pregnant, then you’ll be happy with children (or no children that’s fine too), then you’ll grow old with your SO drinking alcoholic beverages on your porch watching your grandkids play in the yard while the sun is setting. Also doing the naughty w/ your SO throughout. You’ll see and experience the nicest things in life this way.
-my teacher from 4th grade

Answer:

Step-by-step explanation:

 

Can someone help me pleaseeee

Answers

Answer:

B

Step-by-step explanation:

I need help on this please
What is the y intercept?
What is the x intercept ?
What is the axis of ?symmetry
What is the vertex ?
The graph has a ...
What is the domain ?
What is the range?
I will brainiest someone please I need the help!!

Answers

Answer:

The y-intercept is (0, 8)

The x-intercepts are (2, 0) and (4, 0)

The axis of symmetry is a vertical line at x = 3

The vertex is (3, -1)

The graph has a minimum value -1 at x = 3

The domain is {x: x ∈ R} ⇒ (-∞, ∞)

The range is {y: y ≥ -1} ⇒ [-1, ∞)

Step-by-step explanation:

By using the given figure

The figure represents a parabola (the graph of a quadratic function

∵ The parabola intersects the y-axis at point (0, 8)

The y-intercept is (0, 8)

∵ The parabola intersects the x-axis at point (2, 0) and (4, 0)

The x-intercepts are (2, 0) and (4, 0)

∵ The axis of symmetry of the parabola is a vertical line that passes

  through the vertex of it

∵ The x-coordinate of the vertex point is 3

The axis of symmetry is a vertical line at x = 3

∵ The vertex of the parabola is the lowest point on the graph

∵ The lowest point is (3, -1)

The vertex is (3, -1)

∵ The vertex point of the graph is the lowest

The graph has a minimum value -1 at x = 3

∵ The domain is all values of x belong to the parabola

∵ x could be any real number

The domain is {x: x ∈ R} ⇒ (-∞, ∞)

∵ The range is all the values of y from the lowest point

∵ The y-coordinate of the lowest point is -1

The range is {y: y ≥ -1} ⇒ [-1, ∞)

HELP ILL GIVE 10 PTS hurry pleasee

Answers

4(x+15)=640

divide by 4

x+15=160

subtract 15

x=145

check by plugging it in

4(145+15)=640

4(160)=640

640=640

So the answer is 145 or A

Which one of the graphs is the graph of the following equation?
y − 2 = −2(x − 3)

Answers

Answer:

so the answer is

it's D happy to help!!

11. Dustin wants to build a storage box with the following dimensions: 12 inches by 2.25 ft by 1/3 yd.

Answers

Answer:

12 x 2.25 x 1/3 = 9

Step-by-step explanation:

L x W x H

Sarah creates bouquets of flowers with an equal number of flowers in each bouquet. She had 240 flowers when she started, with 128 flowers remaining after she created 7 bouquets. This situation can be represented by the linear equation y=24 - 1x where y is the total number of flowers, and x is the number of bouquets created. How many flowers are in each bouquet? (The variables can only be positive numbers.)

Answers

Answer:

16 flowers per bouquet

Step-by-step explanation:

if you try to solve this question using the given equations the answer will not make a lot of sense:

y = 24 - 1x

128 = 24 - 7x

-7x = 128 - 24 = 104

x = 104 / -7 = -14.86 flowers

the equation is not correct, it should be:

y = 240 - 1x

128 = 240 - 7x

7x = 240 - 128 = 112

x = 112 / 7 = 16 flowers per bouquet

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