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.
Answers
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
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 the amount of sales tax for a board game that costs $25.00 at a 7% tax rate
A.$1.75
B.$2.00
C.$2.50
D.$5.00
Answers
To find the tax we have to multiply the percent by the cost.
Remember that in order to do this we need to convert the 7% into a decimal, which means we need to divide it by 100.
7 / 100 = .07
Now lets multiply:
25 * .07 = 1.75
This means that our sales tax is A) $1.75.
I hope this helps! :)
A contractor purchases 7 pairs of padded work gloves for $103.32. How much would he pay if he wanted to buy 12 pairs
Answers
14.76 x 12 = 177.12$
Answer:
$177.12
Step-by-step explanation:
$103.32 divided by 7 to find out how much 1 pair costs= $14.76
$14.76x12= $177.12
The rectangle shown has a perimeter of 64 cm and the given area. Its length is 8 more than five times its width. Write and solve a system of equations to find the dimensions of the rectangle.
Answers
Answer:
Length 28 cm, width 4 cmStep-by-step explanation:
Given:
P = 64 cmL = 5W + 8Simplify equation for perimeter and solve for W:
P = 2(L + W) = 2(5W + 8 + W) = 2(6W + 8) = 12W + 1612W + 16 = 6412W = 48W = 4 cmFind L:
L = 5*4 + 8 = 28 cmPlease Help, i am stuck on this question......
Answers
The area between z = -1.25
And z = 0.32
Answers
Answer:
there a answer I'm not good in math
About how tall would you expect one of these trees to be after 22 years? 22.31ft. 35.2ft. 44.25ft. 46.2ft.
Answers
Answer:
The correct answer is C, 44.25. I just took the test....
Step-by-step explanation:
Round 0.00359 to the nearest ten-thousandth.
Answers
Answer:
0.0036 !
Step-by-step explanation:
Give brainliest please :)
0.00359, when rounded to nearest thousandth results in 0.0036.
What is Rounding Off?Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc. Rounding off numbers is done to preserve the significant figures.
Given, value to be rounded is : 0.00359
Since, 1 ten thousands = 10000 (104). So, 1 ten thousandth = 0.0001 (10-4)
Therefore, while rounding to nearest ten thousandth, we round the fractional part(or decimal part) upto 4 digits.
Here, In 0.00359, the digit after ten thousandth place is 9, which is (equal to or greater) than 5. So, 5 can be rounded to 6.
Hence, finally, 0.00359, when rounded to nearest thousandth results in 0.0036
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What is the minimum unit cost of C(x)=0.7^2-210x+27,464?
Answers
thanks in advance ill mark brainliest
Answers
Answer:
i
Step-by-step explanation:
i think it is a. ..........
Find the mode of project scores in math class 1 , 2 , 4 , 4 , 3 , 3 , 4 , 3 , 4 , 3 , 3 , 1
Answers
Mode is the bailie that is listed the most.
There are 5 3’s which is the most of any of the values given.
Mode = 3
Hello!
The mode is the number that is seen most often in the given dataset.
Let's take a look at all the numbers:
1 is seen twice
2 is seen once
3 is seen 5 times
4 is seen 4 times
So 3 is the mode. Hope it helps. Please ask me if you have any questions.
~An excited gal
#CarryOnLearning
[tex]MagicalNature[/tex] here to help
Determine whether the relation represents a function.
{(-1, -1),(-2, -2), (-3, -3)}
Answers
Answer:
yes it determines a function
Step-by-step explanation:
has exactly 1 x value for every y value
Due Tomorrow: Answer question 18 using steps
Answers
[tex]\\ \sf\longmapsto tan51=\dfrac{BC}{AB}[/tex]
[tex]\\ \sf\longmapsto 1.23=\dfrac{9}{AB}[/tex]
[tex]\\ \sf\longmapsto AB=\dfrac{9}{1.23}[/tex]
[tex]\\ \sf\longmapsto AB=7.3\approx 7in[/tex]
Now
[tex]\\ \sf\longmapsto AC^2=7^2+9^2[/tex]
[tex]\\ \sf\longmapsto AC^2=49+81[/tex]
[tex]\\ \sf\longmapsto AC^2=130[/tex]
[tex]\\ \sf\longmapsto AC^2\approx 11in[/tex]
Find the equation for the line that passes through ( – 7,5) that has slope 3.
Answers
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
Find the mean, mode(s), and median for the following set: 90, 92, 94, 91, 90, 94, 95, 98
Answers
Answer:
mean = 93
mode(s) = 90 and 94
median = 93
Step-by-step explanation:
Mean --> average value[tex]\sf{mean = \frac{90 + 92 + 94 + 91 + 90 + 94 + 95 + 98}{8} }[/tex]
[tex]\sf{mean = \frac{744}{8} }[/tex]
[tex]\bf{mean = 93}[/tex]
.
Mode(s) --> the most frequently occurring value90 = 291 = 192 = 194 = 295 = 198 = 1mode(s) = 90 and 94
.
Median --> middle valuesort from smallest
90, 90, 91, 92, 94, 94, 95, 98
median :
[tex]\sf{median = \frac{92 + 94}{2} }[/tex]
[tex]\sf{median = \frac{186}{2} }[/tex]
[tex]\bf{median = 93}[/tex]
f/3 + 22 = 17.
» How can you isolate the variable f?
yeah
Answers
Answer:
subtract 22 from both sides then multiply 3 to both sides
Step-by-step explanation:
F/3+22=17
-22. -22
F/3 = -5
x3. x3
F= -15
Which equation illustrates the matrix associative property of addition?
Answers
Answer:
A expresses the ASSOCIATIVE PROPERTY OF ADDITION.
Step-by-step explanation:
Zack bought 2 1/2 pounds of green grapes and 1/5 of a pound of red grapes. How much
more did the green grapes weigh than the red grapes?
Answers
Answer:23/10 pounds heavier
Step-by-step explanation:
first we transform the mixed fraction to a normal fraction
2 1/2 = 5/2
Now transform
5/2 = 25/10
1/5 = 2/10
25/10 - 2/10 = 23/10
So the green grapes weigh 23/10 pounds more than the red grapes.
Find the perimeter of the triangle.
inches.
Answers
The perimeter of the given triangular image will be 5x + 12.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
As per the given triangular triangle,
Perimeter = 7 + (x + 4) + (4x + 1)
Perimeter = 7 + 5x + 5
Perimeter = 5x + 12
Hence "The perimeter of the given triangular image will be 5x + 12".
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an investment had return of 13% if inflation was 4.1% what was your real return ?
Answers
Answer: 8.9%
Step-by-step explanation: 13 - 4.1
solve for a?
a
+
-
If a
a
= 2
6 3
=
Answers
4
Step-by-step explanation:
How much is 2+10.
Please help me i dont know
Will give brainliest
Answers
Answer: 12
2 + 10
12
:)
Answer: 12
Step-by-step explanation: just add 2 to 10
Last week the cost of a pair of socks was $3.25. This week they are on sale for $1.95. What is the percent change from last week to this week?
Tell whether this is an increase or a decrease then give the percent the value changed.
Answers
Answer:
The socks are 40% off, and it is decreased to 60%.
Step-by-step explanation:
:))
Dad bought 4 large pizzas. He ate 1 4/6 pizzas for dinner on Monday and 1 3/6 pizzas for lunch on Tuesday. How much pizza was left?
Answers
Answer:
5/6 pieces
Step-by-step explanation:
1 4/6 + 1 3/6 = 3 1/6
3 6/6 - 3 1/6 = 5/6
10/6 + 9/6 = 19/6
4/1 = 24/6
24/6 - 19/6 = 5/6
odp.: Zostało mu 5/6 pizzy.
A survey found that 27% of high school students and 94% of teachers and school employees drive to school. The ratio of students to employees is about 10 to 1. Roger states
Answers
The complete question statement is: A survey found that 27% of high school students and 94% of teachers and school employees drive to school. The ratio of students to employees is about 10 to 1. Roger states that the number of students who drive to school is greater than the number of teachers and employees who drive to school. Explain how Roger’s statement could be correct.
Answer and Explanation:
What is given;
Students 27%. (s)
Teachers and employees 94%. (t)
The ratio between these two variable is 10:1, this means that for every 10 students there's one employee only, that is, students are 10 times more than teacher and employees.
So, 27% of 10 students is 2.7 students, and 94% of 1 employee is 0.94 employees and teachers. So, if there are 2,000 students, there must be 200 teachers, and the number of students that have cars are 0.27(2000)=540, and the number of teacher and employees that have cars are 0.94(200)=188.
As you can observe, with this ratio and percentages, the number of students who drive to school is greater than the number of teachers and employees who drive to school. That's why Roger's statement is correct.
The length of a rectangle sign is 3 times it’s width, if the signs perimeter is 16 inches, what is the signs area
Answers
Width: 2in
Length: 2 x 3 = 6in
Perimeter: 6+6+2+2= 16in
What is the answer to this problem?
Answers
Answer:
infinitely many solutions
Step-by-step explanation:
20. Assume that X has a normal distribution, and find the indicated probability
The mean is u - 60,0 and the standard deviation is o = 4.0,
Find the probability that X is less than 53.0.
0.9500
0.5580
0.0401
0.0002
Answers
Answer:0.5580
Step-by-step explanation:
Helps me please help help me
Answers
Answer:
(2, -6)
Step-by-step explanation:
1. The rule for reflecting a point across the y-axis is (x, y) -> (-x, y)
This means that when reflecting across the y-axis, the x-coordinate changes signs.[tex](-(-2),-6)[/tex] [tex](2,-6)[/tex]Therefore, the ordered pair that describes the location of C' is (2, -6).
Answer:
(2, -6)
Step-by-step explanation:
This is due today please helpppp meeee I really need help
Carla and Diane Bought identical suit cases at a different stores. Carla’s suitcase originally cost $85 and was on sale for 20% off the original price which suitcase was a the better deal? What do we know ? List important facts ? What do we want to find out ?? Solve ??? Show ur work? Explain starts ur Asnwer and give details ? And justify your steps ? Someone please help!!!
Answers
Answer:
Carla's suitcase was a better purchase.
Step-by-step explanation:
The complete question is:
Carla and Daniel bought identical suitcases at different stores. Carla's suitcase originally cost $75 and was discounted 19% Daniel's suitcase original cost $85 and was on sale for 20% off the original price. Which suitcase was the cheaper?
Solution:
Cost Price of Carla's suitcase = $75
Discount% for Carla = 19%
The amount paid by Carla is,
So, the amount paid by Carla was, $60.75.
Cost Price of Jeana's suitcase = $85
Discount% for Jeana = 20%
The amount paid by Jeana is,
So, the amount paid by Jeana was, $68.
Carla's suitcase was a better purchase.
Compensation
10. You have a choice of receiving a wage of $34,000 per year, $2840 per month, $650 per week, or $18
per hour. Which pay choice would you take? Assume a 40-hour work week with 52 weeks per year.
Answers
Answer:
Step-by-step explanation:
Monthly rate:
So if we convert $2840 per month into year that would be: 2840 * 12 (that's how many months in a year) = 34,080
Weekly rate:
There are approximately 4.345 weeks per month since it sometimes changes. So, to find the wage per month: 650 * 4.345 = 2824.25. To find the yearly rate multiply it by 12. So, 2824.25 * 12 = 33,891
Hourly rate:
Yearly Salary : $35,100
$18 per hour