Please help
Solve.
(5√5)^−2x+1 = 1/5 ⋅ 125^x−3

Enter your answer in the box. Enter any fraction as a simplified fraction.

Please HelpSolve.(55)^2x+1 = 1/5 125^x3Enter Your Answer In The Box. Enter Any Fraction As A Simplified

Answers

Answer 1
Answer: 125x=0.04x+20

Step-by-step explanation: (5√5)−2x+1=

1

5

(125x)−3

0.008x+1=

1

5

(125x)−3

Step 1: Flip the equation.

1

5

(125x)−3=0.008x+1

Step 2: Add 3 to both sides.

1

5

(125x)−3+3=0.008x+1+3

1

5

(125x)=0.008x+4

Step 3: Divide both sides by 1/5.

1

5

(125x)

1

5

=

0.008x+4

1

5

125x=0.04x+20

Answer 2

The  value of x is 46.

What are Exponents and power?

Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.

The number of times a number is multiplied by itself is defined by the exponent. The power is an expression that displays the same number or factor being multiplied repeatedly.

Given:

[tex](5\sqrt{5} )^{-2x+1 }= 1/5 * 125^{x-3}[/tex]

ow, using exponents and powers

[tex](5\sqrt{5} )^{-2x+1 }= 1/5 * 125^{x-3}[/tex]

[tex](5\sqrt{5} )^{-2x+1 }= 1/5 * 5 ^{3(x-3)\\[/tex]

[tex](5\sqrt{5} )^{-2x+1 }= 5^{3x - 9 - 1}[/tex]

[tex](5\sqrt{5} )^{-2x+1 }= 5^{3x -10}[/tex]

[tex]5^{3/2(-2x+ 1)}= 5^{3x - 10}[/tex]

[tex]5^{-x+ 3/2}= 5^{3x -10}[/tex]

Now, Comparing

-x+ 3/2 = 3x- 10

-x - 3x = -10 - 3/2

-4x = -23/2

x= 46

Hence, the value of x is 46.

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Related Questions


Find (- 18) + (-25) + 13.
-56
20
-30
-6

Answers

Answer: -30

Step-by-step explanation:

Please Help Me, I don't understand this kind of math

Answers

Answer:

  x = 9 cm

  y = 4 cm

Step-by-step explanation:

The angle markings tell you the three angles of one triangle are equal to the three angles of the other triangle. That means the triangles are "similar", and the lengths of corresponding sides have the same ratio.

The bottom sides, between the angles with 1 mark and 3 marks, are shown as 3 cm in the green triangle and 6 cm in the blue triangle. This tells you all of the the green triangle dimensions are half those of the corresponding dimensions in the blue triangle:

  x = (18 cm)/2 = 9 cm

It also tells you the blue triangle dimensions are 2 times those of the green triangle:

  y = 2(2 cm) = 4 cm

_____

Additional comments

Corresponding sides having the same ratio means they are proportional (and vice versa). This can be expressed in equation form as ...

  y/(2 cm) = (18 cm)/x = (6 cm)/(3 cm)

__

You may want to discuss this problem with your teacher. The side lengths shown in the figure do not form a triangle. The two short sides are too short to connect to the ends of the long side. The figure is impossible.

It took Jasmine 1 day and 4 hours to travel 1,960 miles. What was her average speed in miles per
hour?

Answers

Answer:

it took Jasmine 479 miles per hour

Write an equivalent expression by combining like terms. (4/5x+3)-(1/4x-1)

Answers

Answer:

11/20x + 4

Step-by-step explanation:

Well you can jsut solve it normally following the order of operations.

So first you can distribute -(1/4x-1) which turns into 1/4x+1

4/5x+3+1/4x+1 combine like terms and you’d hey 11/20x +4


Find the equation for the line that passes through ( – 7,5) that has slope 3.

Answers

☆Answer : (X1, Y1) = (-7, 5)m = 3

y - Y1 = m(x - X1)

y - 5 = 3(x - (-7))

y - 5 = 3(x + 7)

y - 5 = 3x + 21

y - 5 - 3x - 21 = 0

y - 26 - 3x = 0

-3x + y - 26 = 0

For the two numbers listed, find two factors of the first number such that their product is the first number and their sum is the second number -12,-1

Answers


-4 x 3 = -12
-4 + 3 = -1

help on theses two pls I appreciate it here is 50 points , reporting if you write anything and not writing the answer .

Answers

Answer: hi , b other one b too

Answer:

19) b

20) b

Step-by-step explanation:

Help help hekpngelpnheopbh kobgelp

Answers

Answer:

5

Step-by-step explanation:

3+2=5

x=3

PLEASE HELP ME IN THIS, THIS ASSIGNMENT IS DUE IN 4 MINUTES, ITS A 6TH GRADER QUESTION

Answers

Answer:

3

Step-by-step explanation:

jesushhhh

The answer is three
.........

How many solutions for
55l=50l+5

Answers

Answer:

Zero

Step-by-step explanation:

The question is impossible to answer. 501+5 does not equal 551, 501+5 equals 506.

VERY EASY IF YOU TYPE RIGHT AWSNER I WILL MARK AS BRAINLISt 5th grade super easy

Answers

Answer: 2

Step-by-step explanation:

2/7 + 13/14 = 1 3/14

4/14+13/14 = 17/14

2
because it’s common sense

Pete worked 44 hours and 30 minutes on his new job. He makes $9.86 per hour. For each hour of overtime, he earns time and a half. How much will he earn for one week?

Answers

The question did not associate anything with the overtime so, I believe the answer is 416.24

:)

Answer:

$460.955 ≈ $460.96  

Step-by-step explanation:

A work week is 8 hours × 5 days = 40 hours per week.   Pete worked 44 hours and 30 minutes which is 44.5 hours.  This tells you that Pete worked 40 hours at regular paid and 4.5 hours of overtime at a rate is his amount per hour plus half of his amount per hour). So Pete earns $14.79 per hour for overtime rate  ($9.86 + $4.93 = $14.79) .

Earning for the week:  40 × $9.86 + 4.5 × $14.79

                                  = $394.40 + $66.555

                                  =  $460.955 ≈ $460.96  

                                 

What is the smallest whole number that is a multiple of 5, 9, and 12?

Answers

Answer:180

Step-by-step explanation:

you start by finding the prime factorization of the number

5=1*5

9=3*3

12=2*2*3

the shortest way to find the factors is to find is most of them like example, at max, there are 2 two's, 2 three's and 1 five then you multiply them all together

4*9*5=180 and that's the answer

Answer:

180

Step-by-step explanation:

Terrence has 100 points out of 200 possible points in his Geometry class.
A. Determine his grade as a percentage and letter grade. Explain how you determined this.
B. Calculate how many more points Terrence needs to be passing. Explain how you calculated this.​

Answers

Answer:

A. Letter Grade: F

    Percentage: 50%

    100 is half of 200

B. 20 more points

Step-by-step explanation:

A. 100 is half of 200, and 50% is half of 100%.

B. 60% is a D, but it is still passing. Sine 200=100 x 2, we need to multiply    60 x 2. 60 x 2=120

What is the base of 4×4×4×4×4?

Answers

Answer:

Step-by-step explanation:

Your base would be the 4

Answer:

4

Step-by-step explanation:

When you have a something raise up to a number this can be represented as:

[tex]b^a = b_1 \cdot b_2 \cdot \cdot \cdot b_a[/tex]

Where [tex]b[/tex] is the base and [tex]a[/tex] the exponent. In this case you have five times four, then you can re-write the expression as:

[tex]4 \times 4 \times 4 \times 4 \times 4 = 4^5[/tex]

Where the [tex]b[/tex] is equal to 4 and [tex]a[/tex] equal to 5

when randy started his job he earned $8.00 per hour now he makes $450 for working a 40-hour week how much more does he earn per hour than he did when he started

Answers

Answer:

3.25?

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

He now earns:

450/40 = 11.25 dollars per hour.

So he gets 11.25 - 8

= 3.25 dollars more.

find the gradient of a line perpendicular to y=-3/4+6

Answers

Answer:

  4/3

Step-by-step explanation:

Assuming your line is intended to be ...

  y = -3/4x +6

The slope is the coefficient of x: -3/4.

The slope of a line perpendicular to it is the opposite of the reciprocal of this, so is ...

  -1/(-3/4) = 4/3

The gradient of the perpendicular line is 4/3.

Which point is a solution to the system?

Answers

Answer:

d

Step-by-step explanation:

Below are the graphs of the functions y=2x and y3x What is the same about both lines?​

Answers

C they rise upward toward the right

Judy purchased a carpet for $ 233.95 and a table set for $199.08. She received a 25% discount but had to pay 8% sale tax. What is the total price?

Answers

Answer:

$350.75

Step-by-step explanation:

Write the equation of a sine or cosine function to describe the graph.

Answers

Answer:

Step-by-step explanation:

Average = (Ymax + Ymin)/2 = (4 + (- 2))/ 2  = 1

Amplitude =  (Ymax - Ymin)/2 = (4 - (- 2))/ 2  = 3

y is at a maximum when x = 0, so cosine function is easy.

one cycle (2π radians) is completed in 2π/3

therefore

y = 1 + 3cos(2π(x /(2π/3))

y = 1 + 3cos(3x)

Answer(s):

[tex]\displaystyle y = 3sin\:(3x + \frac{\pi}{2}) + 1 \\ y = 3cos\:3x + 1[/tex]

Step-by-step explanation:

[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{6}} \hookrightarrow \frac{-\frac{\pi}{2}}{3} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{3}\pi \\ Amplitude \hookrightarrow 3[/tex]

OR

[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{3}\pi \\ Amplitude \hookrightarrow 3[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 3sin\:3x + 1,[/tex]in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{6}\:unit[/tex]to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACKWARD [tex]\displaystyle \frac{\pi}{6}\:unit,[/tex]which means the C-term will be negative, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{\pi}{6}} = \frac{-\frac{\pi}{2}}{3}.[/tex]So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 3sin\:(3x + \frac{\pi}{2}) + 1.[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits [tex]\displaystyle [-\frac{2}{9}\pi, -\frac{1}{2}],[/tex]from there to [tex]\displaystyle [\frac{4}{9}\pi, -\frac{1}{2}],[/tex]they are obviously [tex]\displaystyle \frac{2}{3}\pi\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle \frac{2}{3}\pi.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 1,[/tex]in which each crest is extended three units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

please what is measurement BAC

Answers

Answer:

54 degrees? I'm not an expert, but judging by the pic, I would say 54 degrees.

2
Select the correct answer.
Which equation represents the vertical line passing through (7,-3)?
Α.x= -3
B. y=-3
C.x= 7
D.y=7

Answers

Answer:

x=7

Step-by-step explanation:

because the x equals 7 and then the line would pass through (7,-3)

Which expression is equivalent to this polynomial expression?
(5ry2 + 3x2 – 7) + (3.272 – 142 + 3y2 + 4)

Answers

Answer:

Step-by-step explanation:

the answer  is . (5xy² + 3x² - 7) + (3x²y² - xy² + 3y² + 4). hope this helps

hello is anyone on here please helpGive possible values for the measures of angles and if is an acute triangle.

Answers

Answer:

Step-by-step explanation:

An acute triangle is a triangle in which all three angles measure less than 90 degrees. If any angle measures 90 or more degrees, we no longer have an acute triangle.

9/10 minus blank equals 1/5

Answers

Answer:

7/10

9/10 - ____ = 2/10

9 - 7 = 2

So, 9/10 - 7/10 = 2/10 or 1/5

Step-by-step explanation:

Find the equation of the line

Answers

This should do… all steps explained in the picture

How to solve -2(x+2)^2=5 using the square root method.

Answers

Here it is I had to add a photo because I didn’t know how to rite it out but I hope this helps!

pls help. I am not very smart!

Which equation represents this statement?

3 1/3 is the same as the sum of −1/2 times a number and −3

3 1/3+(−1/2)=−3x

3 1/3=−1/2x+(−3)

3 1/3+(−1/2x)=−3

3 1/3=−1/2+(−3x)

Answers

Answer:

3 1/3=−1/2x+(−3)

Step-by-step explanation:

The equation for the given problem can be written as 1/3 = -1/2x + -3. The correct option is (B).

How to solve a linear equation?

A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.

The statement given in the problem is, " 1/3 is the same as the sum of −1/2 times a number and −3".

Suppose the unknown number be x.

Then, the equation for the given statement can be written as,

1/3 = -1/2x + -3

Hence, the equation that represents the given statement is 1/3 = -1/2x + -3.

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NEED HELP ASAP (ILL GIVE BRAINLIST)

Answers

Answer:

the answer is 33 9/11

Step-by-step explanation:

multiply the fractions

.

.

Answer:

33 9/11

Step-by-step explanation:

22 6/11 x 1 1/2

Convert into improper fractions.

248/11 x 3/2

Reduce the numbers with the greatest common factor 2.

124/11 x 3

Calculate

372/11

=33 9/11

Hope this helps :)

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