Simplify the expression Z^0⋅(Z^2⋅Z^−5)^4 using positive exponents
possible answers:
a.)Z^81
b.) 0
c.) 1/Z^12
d.) 1/Z^40
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
top right one
Step-by-step explanation:
cuz verticle angles are across each other
Better not be a scam :)
Find the average value of a function
Answer:
The average value of g is:
[tex]\displaystyle g_{ave}=\frac{1}{6}e^6-\frac{49}{6}\approx 59.071[/tex]
Step-by-step explanation:
The average value of a function is given by the formula:
[tex]\displaystyle f_{ave}=\frac{1}{b-a}\int_a^b f(x)\, dx[/tex]
We want to find the average value of the function:
[tex]g(x)=e^{3x-3}-4x[/tex]
On the interval [1, 3].
So, the average value will be given by:
[tex]g_{ave}=\displaystyle \frac{1}{3-1}\int_1^3 e^{3x-3}-4x\, dx[/tex]
Simplify. We will also split the integral:
[tex]\displaystyle g_{ave}=\frac{1}{2}\left(\int_1^3e^{3x-3}\, dx-\int _1^3 4x\, dx\right)[/tex]
We can use u-substitution for the first integral. Letting u = 3x - 3, we acquire:
[tex]\displaystyle u=3x-3\Rightarrow du = 3\, dx\Rightarrow \frac{1}{3} du=dx[/tex]
We will also change the limits of integration for our first integral. So:
[tex]u(1)=3(1)-3=0\text{ and } u(3)=3(3)-3=6[/tex]
Thus:
[tex]\displaystyle g_{ave}=\frac{1}{2}\left(\frac{1}{3}\int_0^6 e^{u}\, du-\int _1^3 4x\, dx\right)[/tex]
Integrate:
[tex]g_{ave}=\displaystyle \frac{1}{2}\left(\frac{1}{3}e^u\Big|_0^6-2x^2\Big|_1^3\right)[/tex]
Evaluate. So, the average value of g on the interval [1, 3] is:
[tex]\displaystyle g_{ave}=\frac{1}{2}\left(\frac{1}{3}\left[e^6-e^0\right]-\left[2(3)^2-2(1)^2\right]\right)[/tex]
Evaluate:
[tex]\displaystyle\begin{aligned} g_{ave}&=\frac{1}{2}\left(\frac{1}{3}(e^6-1)-16\right)\\&=\frac{1}{2}\left(\frac{1}{3}e^6-\frac{1}{3}-16\right)\\&=\frac{1}{6}e^6-\frac{49}{6}\approx59.071\end{aligned}[/tex]
the lengths of two sides of a triangle are 8in. and 13in. find the range of possible lengths for the third side
Answer:
5<x<21
Step-by-step explanation:
when any two sides are added together they have to be greater than either side... to find the range
add the two sides together to get the upper end of the range 8+13=21
and to get the lower end of the range subtract 13-8=5
so the range is 5<x<21
the third side CAN NOT be 5 or 21, must be between them
what is the formula for varience
Answer:
S^2 = sample variance
x_i = the value of the one observation
\bar{x} = the mean value of all observations
n = the number of observations
Step-by-step explanation:
In probability theory and statistics, variance is the expectation of the squared deviation of a random variable from its mean. In other words, it measures how far a set of numbers is spread out from their average value.
hope i helped:)
Need help quickly! Thanks
Answer:
y = [tex]-2^x[/tex]
Step-by-step explanation:
If the equation of a function is in the form of y = h(x)
When the graph of this function is reflected across x-axis,
Transformed function will be,
y = -h(x)
Further reflected across y-axis, then the transformed function will be,
y = -h(-x)
By this rule,
Given equation when reflected across x-axis,
y = [tex]-(\frac{1}{2})^{x}[/tex]
Further reflected across y-axis,
y = [tex]-(\frac{1}{2})^{-x}[/tex]
y = [tex]-(2^{-1})^x[/tex]
y = [tex]-2^x[/tex]
60% of all violent felons in the prison system are repeat offenders. If 32 violent felons are randomly selected, find the following probabilities. Round your answers to 4 decimal places.
a. Exactly 20 of them are repeat offenders.
b. At most 19 of them are repeat offenders.
c. At least 20 of them are repeat offenders.
The function F(x)=2^x is shifted 4 unit left . The results is g(x). what is g(x)
Answer:
ID-=35'-
Step-by-step explanation:
Reading the directions to a test is important because
a. The directions may help you from being C. The directions explain what the teacher is
confused about how to answer a question thinking
b. The directions can give you the answers to a d. All of these
test
Please select the best answer from the choices provided
Ο Α
ОВ
Ос
OD
Answer:
It's C
Step-by-step explanation:
The directions explain what the teacher is thinking (the way they tell us to do the test without saying it). Directions are good because you can reread them in case your forgot :-/
MUST HELP!!!! (+50 POINTS +BRANILEST +5 STARS +THANKS ON PROFILE)
Answer:
Personification is your answer.
Hope it helps!!!
60
VW
The equation BSA = models the relationship between SSA
in square meters, the patient's weight W in kilograms, and the
patient's helght H in centimeters.
a. Solve the equation for H.
Answer:
yo bro idek bro, gimme brainliest
Step-by-step explanation:
Your goal is to create a college fund for your child. Suppose
you find a fund that offers an APR of 5% How much should
you deposit monthly to accumulate $170,000 in 15 years?
Answer:
the monthly payment is $636.02
Step-by-step explanation:
The calculation of the monthly amount deposited i.e. PMT is shown below:
GIven data
NPER = 15 × 12 months = 180
RATE = 5% ÷ 12 = 0.4167%
PV = $0
FV = $170,000
based on the above information
The formula is given below:
= PMT(RATE;NPER;PV;FV;TYPE)
After applying the given formula, the monthly payment is $636.02
HEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPP
Answer:
triangle and cylinder is your answer
if f(x)=3x^2-2x+1 find f(-2)
Answer:
17
Step-by-step explanation:
3(-2)^2 - 2(-2) + 1
12 - 2(-2) + 1
12 + 5
17
Answer:
f(-2) = 3(-2)² - 2(-2) + 1 = 17
Step-by-step explanation:
f(x) = 3x² - 2x + 1
f(-2) = 3(-2)² - 2(-2) + 1
= 3 × 4 + 4 + 1
= 12 + 5
f(-2) = 17
Thus, f(-2) = 3(-2)² - 2(-2) + 1 = 17
-TheUnknownScientist
Please help me with this!! I don’t understand it at all (trigonometry)
Hi there!
[tex]\large\boxed{cos(\frac{\theta}{2} )= \frac{3}{\sqrt{7}}}[/tex]
[tex]\large\boxed{tan(\frac{\theta}{2}) = \frac{\sqrt{5}}{3}}[/tex]
Begin by recalling that:
sin(θ) = O/H, so:
Opposite side = 3√5
Hypotenuse = 7
We can solve for the adjacent sign using the Pythagorean Theorem:
7² = (3√5)² + b²
49 = 45 + b²
b² = 4
b = 2.
Thus, cosθ = 2/ 7
Use the half angle identity to solve for cos(θ/2):
cos(θ/2) = √(1 + cosθ)
Plug in the value of cosθ:
= √(1 + 2/7) = √9/7, or 3 /√7
Thus:
[tex]cos(\frac{\theta}{2}) = \frac{3}{\sqrt{7}}[/tex]
Calculate tan(θ/2) using the same process but with a different formula:
tan(θ/2) = √(1 - cosθ / 1 + cosθ)
Substitute in the value of cosθ:
tan(θ/2) = √(1 - 2/7)/(1 + 2/7)
= √(5/7)/(9/7) = √5/9 = √5/3
WILL MARK BRANLIEST
the first one plz
Answer:
A,D,E, and F
Step-by-step explanation:
They all equal -1/4.
Find value of x round to the nearest tenth
Answer:
3
Step-by-step explanation:
3 is half of 6 and 6 is the total of that line
3 is also the radius of the circle
Find the equation of this line
Answer:
-6x+4
Step-by-step explanation:
y-intercept is at 4 which is b.
It goes down 6 units as it decreases from 4 to -2.
Since it decreases 6 is negative
therefore -6x+4
Consider an experiment of tossing a coin twice in a row.
The probability of occurrence of two heads in a row is
A) 0.25
B) 0.20
C) 0.50
For questions 3 that’s all i need help please !!! For a test and please put your answers below !!!
Answer:
D - 1,078
Step-by-step explanation:
if you take 26.96 x 40, you will get 1,078
Suppose a certain person's reaction time, in seconds, for pressing a button on a visual cue has the following cumulative distribution function: F (x )equals 1 minus fraction numerator 1 over denominator (x plus 1 )cubed end fraction space x greater than 0 What is the probability the person's reaction time will be between 0.9 and 1.1 seconds
Answer:
the probability is 0.0378
Step-by-step explanation:
Given that;
cumulative distribution function: F (x ) = 1 - ( 1 / ( x + 1)³ )
probability the person's reaction time will be between 0.9 and 1.1 seconds will be;
p( 0.9 < x < 0.9 ) = F( 1.1 ) - F( 0.9 )
p( 0.9 < x < 0.9 ) = [1 - ( 1 / ( 1.1 + 1)³ )] - [1 - ( 1 / ( 0.9 + 1)³ )]
= [1 - ( 1 / ( 2.1)³ )] - [1 - ( 1 / ( 1.9)³ )]
= [1 - 0.107979] - [1 - 0.14579]
= 0.8920 - 0.8542
= 0.0378
Therefore, the probability is 0.0378
Use a graphing tool to graph the function and complete the sentences based on the graph of the function f (x) = StartLayout Enlarged left-brace first row StartFraction 3 Over x EndFraction, x less-than 1 second row 3, x greater-than-or-equal-to 1 EndLayout.
The function has a point of discontinuity when x =
where, from the left, the function approaches
.
Answer:
0, negative infinity
Determine if the side lengths given form a triangle. Justify your response. 4ft, 8ft, 12ft
Answer:
No, the sum of the two smaller sides must be greater than the longer side.
In this case this would be just a straight line.
[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]
The given lengths won't form a triangle. The sum of the 2 smaller sides should be greater (not equal too) than the longest side.
so, the longest side her is 12ft
so the smaller sides are 4ft, and 8ft.
the sum of this two sides is 12ft which same as longest side (not greater)...
so it won't form a triangle, here it will just form points on lines.
thankshope it helpsDawn is verifying the accuracy of her paycheck. She
earns $14 an hour and works 40 hours each week.
Her biweekly deductions are Social Security 6.2%,
Medicare 1.45%, federal withholding tax $73.25,
state withholding tax $22.50, and health insurance
$37.45. What is her annual net pay if she is paid
biweekly
This is for financial algebra senior year high school. If anyone can help me understand this and please no random links
Answer:
$753.34
Step-by-step explanation:
trust me it is $753.34
Another math question.
Answer:
65536
Step-by-step explanation:
(4^3)^2×4^2
4^6×4^2
4^8
65536
List three terms that are like the given terms below.
- 19m
28
42bc
2r
Answer:
chicken
Step-by-step explanation:
No links No pdfs No wrong answer or I report
people say its D then the computer say its B (sometimes computer make mistakes) so can someone clarify if its B or D
Answer: 4, 4
Step-by-step explanation: this is on g.oo.g.le
Convert 210° to radian measure in terms of pi
Answer:
[tex]210^\circ = \frac{7}{6}\pi[/tex]
Step-by-step explanation:
Given
[tex]\theta = 210^\circ[/tex]
Required
Convert to radians
To convert to radians, we make use of:
[tex]Radians = \theta * \frac{\pi}{180^\circ}[/tex]
Substitute: [tex]\theta = 210^\circ[/tex]
[tex]Radians = 210^\circ* \frac{\pi}{180^\circ}[/tex]
[tex]Radians = \frac{210^\circ* \pi}{180^\circ}[/tex]
Simplify fraction
[tex]Radians = \frac{7\pi}{6}[/tex]
[tex]Radians = \frac{7}{6}\pi[/tex]
Hence:
[tex]210^\circ = \frac{7}{6}\pi[/tex]
Point T has coordinates (-3, 4). If it was reflected over the x-axls, what were the coordinates of its pre-image?
Answer:
(3,4)
Step-by-step explanation:
The Student Monitor surveys 1200 undergraduates from 100 colleges semiannually to understand trends among college students. Recently, the Student Monitor reported that the average amount of time spent per week on the Internet was 19.0 hours. You suspect that this amount is far too small for your campus and plan a survey. You feel that a reasonable estimate of the standard deviation is 10.0 hours. What sample size is needed so that the expected margin of error of your estimate is not larger than one hour for 95% confidence
Answer:
A sample size of 385 is needed.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
You feel that a reasonable estimate of the standard deviation is 10.0 hours.
This means that [tex]\sigma = 10[/tex]
What sample size is needed so that the expected margin of error of your estimate is not larger than one hour for 95% confidence?
A sample size of n is needed. n is found when M = 1. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]1 = 1.96\frac{10}{\sqrt{n}}[/tex]
[tex]\sqrt{n} = 1.96*10[/tex]
[tex](\sqrt{n})^2 = (1.96*10)^2[/tex]
[tex]n = 384.16[/tex]
Rounding up:
A sample size of 385 is needed.
