can some please explain to me how my teacher get to the part that i highlight. (2^-5)^-3x i'm so lost someone please explain
Answers
Answer:
see explanation
Step-by-step explanation:
using the rules of exponents
\(\frac{1}{a^{m} }\) = \(a^{-m}\)
then
\(\frac{1}{32}\) = \(\frac{1}{2^5}\) = \(2^{-5}\)
and
\((a^m)^{n}\) = \(a^{mn}\) , so
\((2^{-5}) ^{-3x}\)
Related Questions
help me out here guys
Answers
x represents the increase in the length and width of the garden from the expression.
What is Area of Rectangle?The area of Rectangle is length times of width.
Ishan garden is in the shape of a rectangle.
The length of the garden is 15 feet and width is 5 feet.
He plans to increase the length and width of his garden.
The total amount of fencing is given as expression
(x+15)+(x+5)+(x+15)+(x+5)
We have to check what the x represents in the expression.
The x represents the increase in the length and width of the garden.
Hence, x represents the increase in the length and width of the garden.
To learn more on Rectangles click:
https://brainly.com/question/20693059
#SPJ9
Select the correct answer.
Evaluate the following expression when x = -4 and y = 4.
x
6
−
x
4
y
A.
1
,
025
4
B.
1
,
023
4
C.
16
,
385
4
D.
−
1
,
023
4
Answers
Answer:
1023/4
Step-by-step explanation:
shown in the picture
what is the slope of the line containing (-2,-5) and (4,-4)
Answers
Answer:
1/6
Step-by-step explanation
right 6, up 1
Answer:
1/6
Step-by-step explanation:
slope
The steepness of a line expressed as a ratio, using any two points on the line.
so yeah.. just graph it out :P
1-cos(6x)=___?
A. 3sin(2x)
B. 2sin^2(3x)
C. 3cos(2x)
D. 2cos^2(3x)
Answers
The solution to 1 - cos(6x) is 2sin²(x).
Hence, option B) 2sin²(x) is the correct answer.
What is solution to 1 - cos(6x)?Given that; 1 - cos(6x) = ?
First, we rewrite using trig identity
1 - cos(2 × 3x)
Using the double angle identity, { cos2(x) = 1 - 2sin²(x) }
1 - ( 1 - 2sin²(x) )
Eliminate the parentheses
1 - 1 + 2sin²(x)
2sin²(x)
The solution to 1 - cos(6x) is 2sin²(x).
Hence, option B) 2sin²(x) is the correct answer.
Learn more about trig identity here: https://brainly.com/question/10376944
#SPJ1
determine the value of X?
Determine the Magnitude of FTD?
Answers
The value of x is 50 and FTD = 130°
How to find the value of x?Both of the angles in the diagram must have the same measure because are vertical, then:
3x - 20 = 2x + 30
3x - 2x = 30 + 20
x = 50
That is the value of x.
And we can see that FTD = 2x + 30 = 2*50 + 30 = 130
That is the measure.
Learn more about angles at:
https://brainly.com/question/25716982
#SPJ1
If OB = 6 and AB = 8, then EA
Answers
Answer:
what is that means i think it's better to ask by take a picture
Compare the investment below to an investment of the same principal at the same rate compounded annually.
principal: $5,000, annual interest: 9%, interest periods: 4, number of years: 18
After 18 years, the investment compounded periodically will be worth $? more than the investment compounded annually.
(Round to two decimal places as needed.)
Answers
After 18 years, the investment compounded periodically (quarterly) will be worth $1,230.23 more than the investment compounded annually.
What is compounded interest?Compounded interest refers to the interest system that charges interest on both principal and accumulated interest.
The period of compounding in a year determines the worth of the future value.
The future value can be ascertained using an online finance calculator as follows:
Interest periods: = 4 times yearly (Quarterly)
Principal = $5,000
Annual interest rate = 9%
Number of years: 18
N (# of periods) = 72 quarters (18 years x 4)
I/Y (Interest per year) = 9%
PV (Present Value) = $5,000
PMT (Periodic Payment) = $0
Results:
Future Value (FV) = $24,815.83
Total Interest = $19,815.83
Interest periods: = Annually
N (# of periods) = 18 years
I/Y (Interest per year) = 9%
PV (Present Value) = $5,000
PMT (Periodic Payment) = $0
Results:
Future Value (FV) = $23,585.60
Total Interest = $18,585.60
Difference in Future Values $1,230.23 ($24,815.83 - $23,585.60)
Thus, an investment compounded periodically earns more than an investment compounded annually.
Learn more about compounded interest at https://brainly.com/question/28020457.
#SPJ1
What’s the correct answer for this question?
Answers
Answer:
C.
Step-by-step explanation:
60° in Radians = 1.047
Using Formula
s=rθ
s= 7(1.047)
s ≈ 7.36
how many pieces each 2 3/4 m long may be cut from a string 16 1/2 ?
Answers
Answer:
6
Step-by-step explanation:
2 3/4 = 2.75 & 16 1/2 = 16.5
No of pieces = 16.5/2.75 = 6
Answer:
6 pieces.
Step-by-step explanation:
16 1/2 / 2 3/4
= 33/2 / 11/4
= 33/2 * 4/11
= 132 / 22
= 6
Need help. It’s iterations and all info should be on image
Answers
a) Using the given recurrence,
\(x_2 = \dfrac{{x_1}^3-1}4 = \dfrac{(-1)^3-1}4 = -\dfrac12 = -0.5\)
\(x_3 = \dfrac{{x_2}^3-1}4 = \dfrac{\left(-\frac12\right)^3-1}4 = -\dfrac9{32} = -0.28125\)
b) Proceeding as above, you'll find that successive values of \(x_n\), starting at n = 7, gravitate towards a solution of about -0.254102.
Find the LCM of A= 3^2 x 5^4 x 7 and B= 3^4 x 5^3 x 7 x11
Answers
The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.
Given are two numbers which are showed in the prime factorized form.
A = 3² × 5⁴ × 7
B = 3⁴ × 5³ × 7 × 11
Prime factorization is the factorization of a number in terms of prime numbers.
In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.
A = 3² × 5³ × 5 × 7
B = 3² × 3² × 5³ × 7 × 11
Bring down the primes in each column.
LCM = 3² × 3² × 5³ × 5 × 7 × 11
= 3898125
Hence the LCM is 3898125.
Learn more about LCM here :
https://brainly.com/question/6756370
#SPJ1
A seabird rescue center has a special habitat for birds that will be released soon. The habitat is shaped like a rectangular prism. The habitat has a ground area of 2,000 square meters that is covered in grass and sand. The height of the habitat is 9 meters. What is the volume of the bird habitat? This is not collage level.
Answers
Answer:
18,000 Cubic meters
Step-by-step explanation:
Since volume is lwh and the area of the ground is lw and it gives you the height, You just multiply The area of the ground, 2,000 m, and the height, 9, to find the volume. 9 x 2,000= 18,000.
Work out the acceleration, in km/h^2 in the first 15mins
Answers
Use the given values on the table to determine a pattern and complete the table.
1st: -15
2nd: -8
3rd: -1
4th: 6
5th - ?
6th - ?
7th - ?
8th - ?
Answers
Step-by-step explanation:
5th - 13
6th - 20
7th - 27
8th - 34
♂️
Another 7th grade question
Answers
Answer:
x=16
I hope this helped
Answer:
X = 16
Step-by-step explanation:
find the values of x where the graph of the function has a point of inflection given f(x)=x^4-x^3
Answers
f(x) has a point of inflection at x = 0 and x = 1/2.To find the values of x where the graph of the function\(f(x) = x^4 - x^3\) has a point of inflection, we need to find where the second derivative of the function changes sign from positive to negative or vice versa.
The first derivative of the function is:
\(f'(x) = 4x^3 - 3x^2\)
The second derivative of the function is:
\(f''(x) = 12x^2 - 6x\)
Setting f''(x) equal to zero and solving for x gives:
\(12x^2 - 6x = 0\)
6x(2x - 1) = 0
This equation has two solutions:
x = 0, or x = 1/2
To determine whether these values of x correspond to points of inflection, we need to look at the sign of the second derivative on either side of each value.
When x < 0, f''(x) is positive because both \(12x^2\) and -6x are positive. When 0 < x < 1/2, f''(x) is negative because \(12x^2\)is positive but -6x is negative. When x > 1/2, f''(x) is positive again because both \(12x^2\) and -6x are negative.
Therefore, f(x) has a point of inflection at x = 0 and x = 1/2.
learn more about function here
https://brainly.com/question/12431044
#SPJ1
7.
(02.01 MC)
Six-year-old students at an elementary school were given a 20-yard head start in a race. The graph shows how far the average student ran in 30 seconds.
A line graph with Distance, in yards, on the x axis and Age of Runner on the y axis. The x axis has a scale from 0 to 80 in increments of 10. The y axis has a scale of 0 to 8 in increments of 2. A straight line connecting 20, 6 and 60, 6 is drawn.
Which statement best describes the domain of the function represented in the graph? (1 point)
6 ≤ x ≤ 60, or x is from 6 to 60
6 ≤ x ≤ 20, or x is from 6 to 20
0 ≤ x ≤ 20, or x is from 0 to 20
20 ≤ x ≤ 60, or x is from 20 to 60
HELP
Answers
The domain of the function represented in the graph will be 20 ≤ x ≤ 60, or x is from 20 to 60. Then the correct option is D.
What is a line segment?A line segment in mathematics has two different points on it that define its boundaries.
A line segment is sometimes referred to as a section of a path that joins two places.
Six-year-old students at an elementary school were given a 20-yard head start in a race. The graph shows how far the average student ran in 30 seconds.
A line graph with Distance, in yards, on the x-axis and Age of the Runner on the y-axis. The x-axis has a scale from 0 to 80 in increments of 10. The y-axis has a scale of 0 to 8 in increments of 2. A straight line connecting 20, 6, and 60, 6 is drawn.
The domain of the function represented in the graph will be 20 ≤ x ≤ 60, or x is from 20 to 60. Then the correct option is D.
More about the line segment link is given below.
https://brainly.com/question/25727583
#SPJ1
Answer:
the correct option is D
Step-by-step explanation:
Kate Sanders, a researcher in the department of biology at IPFW University, studied the effect of agriculture contaminants on the stream fish population in Northeastern Indiana (April 2012). Specially designed traps collected samples of fish at each of four stream locations. A research question was: did the differences in agricultural contaminants found at the four locations alter the proportion of the fish population by gender? Observed frequencies were as follows.
Excel file: data12-05.xls
assb12h_ch12_12.5.gif
a. Focusing on the proportion of male fish at each location, test the hypothesis that the population proportions are equal for all four locations. Use a .05 level of significance.
1. assb12h_ch12_ex05a1.gif
2. assb12h_ch12_ex05a2.gif
3. assb12h_ch12_ex05a3.gif
Choose correct answer from above choice
- Select your answer -123Item 1
Ha: - Select your answer -All population proportions are equalNot all population proportions are equalItem 2
The p-value is - Select your answer -less than .005between .005 and .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 3
What is your conclusion?
- Select your answer -The population proportion of male fish are equal in all four locations.The population proportion of female equal in all four locations.The population proportion of male not equal in all four locations.The population proportion of female not equal in all four locations.Item 4
b. Does it appear that differences in agricultural contaminants found at the four locations altered the fish population by gender?
- Select your answer -YesNoItem 5
Answers
From the following obeservation done by Kate, the hypothesis that the population proportions is equal for all four locations is not true. Also, the population of male fish are not equal in all four locations and the p-value is greater than 0.10
What is a p- value or chi square test?A chi square ( χ2) test is performed in order to find a co relation between two unrelated variables. The main objective of the test is to prove whether the relationship holds true or is just a product of mere chance. For example, if we are conducting a survey of two different paramters, first being the population of people who are married and the other about their educational qualififcation, we will get two distinct table of values without any significant corelation. But now if we wnt to establish a relationship, lets say that married people have less educational qualifications, we need to prove our statement by performing a chi square test. The final value can either be a null hypothesis which states that their is no convinving relationship betwwen the two paramters or can be a alternate hypothesis with significant corelation.
How de we tackle this specific problem with the test?For this problem lets focus on the male fish population alone and perform the test:
Population (Observed)
A B C D TOT
Male fish 49 44 49 39 181
Female fish 41 46 36 44 167
90 90 85 83 348
Population(Expected)
Male fish 46.81 46.81 44.20 43.16
Female fish 43.18 43.18 40.79 39.83
χ2 = ∑\(\frac{(Obsereved-Expected)^2}{Expected}\);
=\(\frac{4.79}{46.81} +\frac{7.89}{46.81} +\frac{23.04}{44.20} +\frac{17.30}{43.16}\)
= 0.10+0.16+0.52+0.40 = 1.18
Now to calculate degree of freedom= (coulmn-1)(row-1)= 3×1= 3.
Looking at the reference table at 0.05 significance level, the value shows 7.815
Thus as our value of 1.18 is less than the given value, null hypothesis cannot be rejected.
Hence the population proportions are not equal at all four locations. Whether this conclusive difference in gender proportions is due to varied contaminants cant be answered with this single observation and further tests are needed to be performed to construct a well found connection.
For more information regarding chi square tests, follow the link: https://brainly.com/question/29415488
#SPJ4
Can someone help me with this problem below.
(And tell me the formula to it)
Answers
Answer:
17
Step-by-step explanation:
pemdas
do perenthaces then exponants then multiplaction and divishion then addition and subtraction
1-5q+5q+16 =
17+5q-5q=
17
your welcome
Find the output, y, when the input, x, is -9.
y =
Answers
Answer:
when x=-9, y=1
Step-by-step explanation:
the graph shows when the x is at -9, the y is at 1
26. Tyler has been saving his winning lottery tickets. He has 23 tickets that are worth a total of $175. If each ticket is worth either $5 or $10, how many of each does he have?
Answers
Need help solving this
Answers
Answer:
c: no solution
Step-by-step explanation:
A baker has 20 pounds of sugar. He uses ⅜ of the sugar to bake cookies.
How many pounds did he use?
(Enter your answer as a fraction in simplest form.)
Answers
Answer:
If 20 is 100% then 20 divided by 4 equals 5 so 20 lbs. - 5 lbs. = 15 lbs. the baker has 15 pounds of sugar left.
Step-by-step explanation:
This is a wonderfully easy problem. So, you start off by dividing the pounds of sugar by the denominator which is 4. So:
20 / 4 = ?
Then you that product and multiply it by the numerator, which is 3 in this case and you get your answer.
Thanks!
500 quarters, 25 dimes, and 25 pennies equal how many dollar bills?
Answers
Answer:
$127.75
500 quarters equals $125.00 (500 x 0.25 = 125)
25 dimes equals $2.50 (25 x 0.10 = 2.50)
25 pennies equals $0.25 (25 x 0.01 = 0.25)
Calculate how many cups of butter your new recipe will need.
What is 1 and 1/2 cups x 1 and 1/2?
Answers
if 3 -letter words'' are formed using the letters a, b, c, d, e, f, g, how many such words are possible for each of the following conditions:
Answers
The possible number of 3 -letter words that can be formed with given conditions.
(a) No condition is imposed: 343
(b) No letter can be repeated in a word: 210
(c) Each word must begin with the letter 'a' : 49
(d) The letter 'c' must be at the end: 49
(e) The second letter must be a vowel: 98
In this question we have been given that 3 -letter words' are formed using the letters a, b, c, d, e, f, g.
We need to find the possible number of 3 -letter words that can be formed with given conditions.
(a) No condition is imposed.
the possible number of 3 letters words would be,
7³ = 343
(b) No letter can be repeated in a word.
Using the formula of Permutation,
^{7}P_3 = 7!/(7 - 3)!
= 210
(c) Each word must begin with the letter a.
If each word begins with letter 'a' there would be possible combinations of remaining 6 letters at 2nd and 3rd position of 3-letter word.
So, the possible number of 3 letters words would be,
7² = 49
(d) The letter c must be at the end.
If each word ends with letter c there would be possible combinations of remaining 6 letters at 1st and 2nd position of 3-letter word.
So, the possible number of 3 letters words would be,
7² = 49
(e) The second letter must be a vowel.
In the 3 letter word, the second letter must be vowel which is either a or e.
So, the possible number of 3 letters words would be,
49 + 49 = 98
Therefore, the possible number of words would be (a) No condition is imposed: 343
(b) No letter can be repeated in a word: 210
(c) Each word must begin with the letter 'a' : 49
(d) The letter 'c' must be at the end: 49
(e) The second letter must be a vowel: 98
Learn more about permutation here:
https://brainly.com/question/28720645
#SPJ4
The complete question is:
3 -letter words'' are formed using the letters a, b, c, d, e, f, g. How many such words are possible for each of the following conditions?
(a) No condition is imposed.
(b) No letter can be repeated in a word.
(c) Each word must begin with the letter a.
(d) The letter c must be at the end.
(e) The second letter must be a vowel.
What is the solution? 4p – 12 = 8 + 4p + 5p
a. 16
b. 6
c. -5
d. -4
Answers
Answer:
d. -4
Step-by-step explanation:
4p – 12 = 8 + 4p + 5p4p – 12 = 8 + 9p4p – 9p = 8 + 12– 5p = 20p = 20 ÷ (– 5)p = – 4What is the solution? 4p – 12 = 8 + 4p + 5p
a. 16
b. 6
c. -5
d. -4
Answer:-Option d. -4
Explanation:-=> 4p – 12 = 8 + 4p + 5p
=> 4p - 4p - 5p = 8 + 12
=> -5p = 20
=> p = 20/(-5)
=> p = -4
A magazine provided results from a poll of adults who were asked to identify their favorite pie. Among the respondents, % chose chocolate pie, and the margin of error was given as percentage points. Describe what is meant by the statement that "the margin of error was given as percentage points."
Answers
Answer:
Margin of Error concept & example
Step-by-step explanation:
Margin of Error refers to range of values around sample statistic, within confidence interval. It denotes, expected percentage points of difference from real population value.
Example : With 95% Confidence Interval with (lets say 4) percent Margin of Error implies that - statistic is expected to be within 4% deviation around population mean 95% of the time.
It applies to pie case also. People liking chocolate pie are likely to be within ME% around sample percentage, with probability of CI% .
Triangle FGH, with vertices F(-5,-7), G(-2,-5), and H(-6,-2), is drawn inside a rectangle, as shown below.
Answers
The area of the triangle FGH is equal to 13√10 unit²
Given that the vertices;
F(-5,-7), G(-2,-5), and H(-6,-2)
We have to find the area of the triangle as;
Area of triangle = 1/2bh²
Here,
Area of triangle FGH = 1/2 (GH) (FG)²
Now,
Length of FG = √26
Length of GH = √10
Then,
Area of triangle FGH = 1/2 (GH) (FG)²
Area of triangle = 1/2 × √10 × √26²
Area of triangle = 1/2 × √10 × 26
Area of triangle FGH = 13√10
Therefore,
The area of the triangle FGH = 13√10 unit²
Learn more about triangles here;
brainly.com/question/12949215
#SPJ1
4+4x=4x+7
is the answer 4=7 or x=0??
Answers
Answer:
No solution
Step-by-step explanation:
Step 1: Determine the solution
\(4 + 4x = 4x + 7\)
\(4x + 4 - 4 = 4x + 7 - 4\)
\(4x - 4x = 3 + 4x - 4x\)
\(0 = 3\)
Since this does not work, this means that we have no solutions.
Answer: No solution
Answer:
no solution
Step-by-step explanation:
4+4x = 4x+7
collect like terms
4x-4x = 7-4
0 = 3
since there's no x
there is no solution