Answer:
64/81
Step-by-step explanation:
To find it, you would add the square to each number in the parenthesis. It would look like this:
(8^2)/(9^2)
Find the slope of the line.
Answer:
5/7 is the correct answer I think
Step-by-step explanation:
........
1. What would you think "11 more than a number" would look like if you wrote it as a function ( don't use spaces in answer and use x for variable)
Answer:
11+x
Step-by-step explanation:
Let the number be x
11 more than the more will be
11+x
Let f(x) = 2x² - 3x and g(x) = 5x - 1.
Find g[f(2)].
g[f(2)] =
Answer:
Step-by-step explanation:
To find g[f(2)], we need to evaluate the composite function g[f(2)] by first finding f(2) and then substituting the result into g(x).
Let's start by finding f(2):
f(x) = 2x² - 3x
f(2) = 2(2)² - 3(2)
= 2(4) - 6
= 8 - 6
= 2
Now that we have the value of f(2) as 2, we can substitute it into g(x):
g(x) = 5x - 1
g[f(2)] = g(2)
= 5(2) - 1
= 10 - 1
= 9
Therefore, g[f(2)] is equal to 9.
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Find the critical numbers of the function on the interval 0≤ θ < 2π.
f(θ) = 2cos(θ) +(sin(θ))^2
Critical values of the function f(θ) = 2cos(θ) +(sin(θ))² on the interval 0≤ θ < 2π is 0 and π.
Therefore, the answer is 0 and π.
f(θ) = 2cos(θ) +(sin(θ))²
f'(θ) = -2sin(θ) +2sin(θ)cos(θ)
Critical values of f are points at which f' is zero or not defined.
For all values of θ, we can find that f'(θ) is defined.
f'(θ) = 0
-2sin(θ) +2sin(θ)cos(θ) = 0
cos(θ) - 1 = 0 or sin(θ) = 0
cos(θ) = 1
θ = nπ, n = 0, 1, 2, ...
sin(θ) = 0
θ = nπ, n = 0, 1, 2, ...
Therefore in the interval 0 ≤ θ < 2π, critical values are 0 and π.
2π is not there as it is not included in the interval.
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A rectangular prism has a base area of 23 cm² and a height of 6 centimeters. What is the volume of the prism?
Enter your answer in the box.
cm³
+ Brainliest
A rectangular prism with a height of 6 centimeters would have a volume of 138 cubic centimeters.
Given the following data:
Base area = 23 \(cm^2\)
Height = 6 centimeters.
The volume of a rectangular prism.Mathematically, the volume of a rectangular prism is given by this formula:
\(V = B \times H\)
Where:
H is the height.B is the base area.Substituting the given parameters into the formula, we have;
\(V = 23 \times 6\)
V = 138 cubic centimeters.
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Which of the expressions is rational? 25 + 2 7 − 2 64 + 45
Answer:
All of the expressions
Step-by-step explanation:
A rational number is one that can be written as a ratio, or a number with a terminating decimal.
All of the expressions are whole numbers, so they are all rational.
8/12 x -0.5
Does anyone know the answer to this♂️
Answer:
Exact Form:
− 1 /3
Decimal Form:
− 0. 3
EF:- 1/3
If you also want the DF (Decimal Form), then the decimal form is - 0.3
to investigate whether the consumption of beetroot juice enhances exercise performance, a researcher selected a random sample of 50 student athletes from all the student athletes at a college. the athletes in the sample were randomly assigned to one of two groups. in one group, 25 athletes were given a daily dose of beetroot juice, and in the other group, the remaining athletes were given a daily dose of a placebo. at the end of six weeks of exercise training, the researcher compared the performances of the two groups. based on the design of the investigation, which of the following is the largest population to which the results can be generalized?
(A) The 25 student athletes assigned to the beetroot juice group (B) The 50 student athletes in the sample (C) All student athletes at the college (D) All students at the college (E) All people who exercise
The largest population to which the results can be generalized is in option C i.e. All student-athletes at the college.
Population: A population can be described as a complete group with at least one characteristic in common and a sample of the population can be used to get the features of the population.
We were told that a random sample of 50 student-athletes from all the student-athletes at a college, even though the population can be used to have an idea about how the consumption of beetroot juice enhances exercise performance, and it can not be used to get the results that can be generalized as more than 50 students-athletes is required which is chosen randomly.
All the other options are wrong because of this reason.
Therefore, option C is correct.
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Tristan records the number of customers who visit the store each hour on a Saturday. His data representing the first seven hours are 15, 23, 12, 28, 20, 18, and 23. How many customers visited the store during the eighth hour if the median number of customers per hour did not change?
16
19
20
23
Answer:
20
Step-by-step explanation:
The number of Customers that visited the store during the eight hour if the median number of customers didn't change is; C: 20
What is the Median?We are given the data representing the first seven hours as; 12, 15, 18, 20, 23, 23, 28. Here; n=7
Thus;
Median = (n + 1)/2 = (7 + 1)/2
Median = 4th term
Thus, the median is 20.
When one data is added, n = 8. Thus;
Median will be the average of the 4th and 5th term. Since the median does not change, it means that the median number of customers per hour is still 20.
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whas does 16g+3<-17+15g equal
Answer:
g∠-20
Step-by-step explanation:
An auditorium has 288
seats distributed evenly in
6 rows. Find the unit rate of seats per row.
Answer: To find the unit rate of seats per row, we can divide the total number of seats by the number of rows:
288 seats ÷ 6 rows = 48 seats per row
Therefore, the unit rate of seats per row is 48.
Brainliest is appreciated (:
hi, please help me
what are the perimeter and area of the shape and how do you solve it
thank you
Answer:
Perimeter: 22cm Area: 24cm^2
Step-by-step explanation:
To find perimeter we add all the sides together. There are two missing sides in this picture.
The bottom one is found by adding the two top lines 4 + 2 = 6
The one on the right can be found by subtracting the left line and the given right line 5 - 2 = 3.
Now we have all the lines, add them together we get 22cm!
Now, there are two ways to find the area. Of course I’m going to show the one I prefer.
Imagine the chunk in the top right is not missing; what would the area of the rectangle be? 30cm^2
And now what’s the area of the missing chunk?
Our given line multiplied by the one we calculated for: 6cm^2
Now subtract the whole rectangle minus the piece we are missing 30 - 6 = 24cm^2
A sports expert reports that there is a 0.49 probability that the wally like wizards will win their next games. interpret this statement
Answer:
Sorry i don't know this one
Step-by-step explanation:
It's simple to do it yourself. just keep trying
a.
If the cost of a large pizza with one topping is $13.50 and the cost of
the medium is $6.25, how much would it cost to purchase one large and
five medium pizzas?
Answer:
$44.74
------Work------
6.25 x 5 = 31.25
31.25 + 12.50 = $44.74
Step-by-step explanation:
May I have brainliest?
</3 PureBeauty
Rotation is a transformation that maps all points of a figure the same distance in the same direction
true or false
9514 1404 393
Answer:
False
Step-by-step explanation:
Rotation maps all points of the figure the same angular measure in the same direction around the center of rotation. Points farther from the center will be moved farther. The direction the point is moved depends on the initial direction from the center of rotation, so may not be the same for different points on the figure.
Translation maps all points the same distance in the same direction.
Select the polynomials that are a difference of squares.
y^4-2
25m^2n^4-1
p^8-q^4
16x^2-24
Answer:
\(y^4-2\\\\16x^2-24\)
Step-by-step explanation:
\(Difference \ of \ squares:\ a^{2}-b^{2}=(a+b)(a-b)\)
\(y^4-2\\\\25m^2n^4-1\\\\p^8-q^4\\\\16x^2-24\\\\\)
Hope this helps!
five more than the product of two and a number,
decreased by seven;
evaluate when a = 8
Key Words
five
more than
product
two
a number
decreased by
seven
Intro
Replace With
5
+
X
2
a
7
Write and evaluate the expression. Then, complete the
statements.
First, write the expression
Second,
Third,
The answer is
V
8 in for the variable, a
by using
Done
P
Answer:
It was difficult reading the question, as written. Check my assumptions.
Step-by-step explanation:
"five more than the product of two and a number,
decreased by seven"
---
Let the "number" be a.
We are told "five more than . ." means +5,
"the product of two and a number" means 2a,
"decreased by seven" mean -7
Put the statements together to obtain:
+5+2a-7
Simplify to 2a-2
Evaluate when a = 8:
2a-2
2(8)-2
16-2
= 14
Someone help, will give brainliest.
The correct answer is option C which is nine more than two-fifths of the number is nine.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, expansion and division.
The given expression is:-
( 2 / 5) x + 9 = 9
The expression can be written in the words nine more than two-fifths of the number is nine.
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monique has a blog with her website and wants to evaluate the engagement of her readers. her blog posts usually take at least 4 minutes to read, and she wants to track the percentage of users who read an entire blog post. she should set up a(n) goal.
Monique has a blog with her website and wants to evaluate the engagement of her readers. her blog posts usually take at least 4 minutes to read, and she wants to track the percentage of users who read an entire blog post. she should set up time-on-site goal.
The total amount of time a user spends on your website, also referred to as session duration, is the term "time on site." It is calculated by noting the timestamps of when a visitor accesses your landing page via a search engine or link and when they leave your website.
52 seconds is a decent average time on page benchmark across several industries. B2B websites have the highest Average Time On Page, which is roughly 82 seconds, according to data from 20 billion user sessions. The type of target audience, industry, and device type are just a few of the variables that affect a decent average time on page.
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the poisson distribution is applied to events for which the probability of occurrence over a given span of time, space, or distance is very small.truefalse
The Poisson distribution is applied to events where the probability of occurrence of a certain number of events in a fixed interval of time, space, or distance is small but not necessarily "very small". False.
The Poisson distribution is used to model events that occur randomly and independently over a continuous or discrete interval of time, space, or distance, such as the number of phone calls received at a call center in an hour, the number of cars passing through a toll booth in a given time period, or the number of emails received per day. The Poisson distribution is characterized by a discrete probability mass function that describes the probability of a certain number of events occurring in a given interval, and it is widely used in probability theory and statistics for modeling events with low to moderate occurrence rates.
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The poisson distribution is applied to events for which the probability of occurrence over a given span of time, space, or distance is very small.
Given statement is False.
Because, The Poisson distribution is applied to events for which the probability of occurrence over a given span of time, space, or distance is not necessarily very small, but rather where the events occur randomly and independently at a constant average rate.
The Poisson distribution models the number of events that occur in a fixed time interval or within a certain area or volume of space, assuming that the events occur independently of each other and at a constant average rate. It is used in many fields, such as biology, physics, economics, and engineering, to model the occurrence of rare or common events.
The Poisson distribution has several important properties, including:
Its mean is equal to λ, and its variance is also equal to λ.
It is a discrete distribution, meaning that it models only whole numbers of events.
It is often used to model rare or unusual events, but can also be used for events that occur frequently, as long as they occur independently at a constant average rate.
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Remember that the equation of a circle whose center is not at the origin is where (h, v) is the center of the circle. Use this to help you write the equation.
By using the equation \((x - h)^2 + (y - v)^2 = r^2,\) we can represent a circle with its center at (h, v) and radius r.
The equation of a circle with its center not at the origin is derived from the general equation of a circle.
The general equation of a circle with center (h, v) and radius r is given by:
\((x - h)^2 + (y - v)^2 = r^2\)
In this equation, (x, y) represents any point on the circle.
The values (h, v) represent the coordinates of the center of the circle, and r represents the radius.
To understand why this equation represents a circle, let's break it down. The term \((x - h)^2\) represents the square of the difference between the x-coordinate of any point on the circle and the x-coordinate of the center. Similarly, \((y - v)^2\) represents the square of the difference between the y-coordinate of any point on the circle and the y-coordinate of the center. Adding these two terms together gives the sum of the squares of the differences between the coordinates of any point on the circle and the coordinates of the center.
If this sum is equal to the square of the radius \((r^2),\) it means that the point is on the circle.
Conversely, if the sum is greater than \(r^2,\)the point is outside the circle, and if the sum is smaller than \(r^2,\) the point is inside the circle.
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F(x) = 3x2+ 6x - 18 find f (10)
Answer:
f(10) = 342
Step-by-step explanation:
f(x) = 3x² + 6x - 18
f(10 = 3(10)² + 6(10) - 18
f(10) = 3(100) + 60 - 18
f(10) = 300 + 60 - 18
f(10) = 360 - 18
f(10) = 342
letdbe a disk in r^2 of radiusrcentered at the origin. what is the averagedistance from a point on the disk to the center?
The average distance from a point on a disk in ℝ² of radius r centered at the origin to the center is 2r/π.
To calculate the average distance, we need to integrate the distance function over the disk and divide it by the area of the disk. The distance function from a point (x, y) on the disk to the origin is given by d = √(x² + y²). Since the disk is centered at the origin, we can rewrite this as d = √(r²) = r.
Integrating this distance function over the disk involves integrating from 0 to 2π for the angle θ and from 0 to r for the radius ρ. Thus, the integral becomes ∫₀²π ∫₀ʳ r ρ dρ dθ.
Evaluating this integral gives us (2πr²)/2πr² = 1, which represents the total area of the disk. Therefore, the average distance is given by (2r/π) × (1/1) = 2r/π.
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f(x)=5x-1; find f (-2), f (0), and f (x+1)
Answer:
f(-2) = -11
f(0) = -1
f(x+1)= f (x+1)=5x+4
Step-by-step explanation:
Expand and simplify 4(y - 3) + 2(3x+2y)
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\(4(y - 3) + 2(3x + 2y) = \)
\(4y - 12 + 6x + 4y = \)
\(6x + 4y + 4y - 12 = \)
\(6x + 8y - 12\)
If u wanna in factored form :
\(2(3x + 4y - 6)\)
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The waiting time Y until delivery of a new component for an industrial operation is uniformly distributed over the interval from 1 to 5 days. The cost of this delay is given by U = 2Y^2 + 3. Find the probability density function for U .
To find the probability density function (PDF) for the cost U, we need to determine the distribution of U using the transformation method.
First, let's find the cumulative distribution function (CDF) of U. We know that U = 2Y^2 + 3, where Y is uniformly distributed over the interval [1, 5]. The CDF of U, denoted as F_U(u), can be found by evaluating P(U ≤ u).
To find F_U(u), we can express it in terms of the CDF of Y, denoted as F_Y(y). Since Y is uniformly distributed over [1, 5], the CDF of Y is given by:
F_Y(y) = (y - 1) / (5 - 1) = (y - 1) / 4
Now, we can express F_U(u) as follows:
F_U(u) = P(U ≤ u) = P(2Y^2 + 3 ≤ u)
To solve this inequality for Y, we need to consider two cases:
Case 1: If u < 3, then 2Y^2 + 3 ≤ u has no solution, and the probability is 0.
Case 2: If u ≥ 3, then we have:
2Y^2 + 3 ≤ u
Y^2 ≤ (u - 3) / 2
Y ≤ √[(u - 3) / 2]
Since Y is uniformly distributed over [1, 5], the maximum value of Y is 5. Therefore, the inequality becomes:
Y ≤ √[(u - 3) / 2], for 1 ≤ Y ≤ √[(u - 3) / 2] ≤ 5
Now, we can write the CDF of U:
F_U(u) = P(U ≤ u) = P(Y ≤ √[(u - 3) / 2]) = F_Y(√[(u - 3) / 2]) = (√[(u - 3) / 2] - 1) / 4
To find the PDF of U, we differentiate the CDF with respect to u:
f_U(u) = d/dx [F_U(u)] = d/dx [(√[(u - 3) / 2] - 1) / 4]
After simplifying and solving the derivative, we obtain:
f_U(u) = 1 / (8√[(u - 3) / 2])
Therefore, the probability density function (PDF) for U is:
f_U(u) = 1 / (8√[(u - 3) / 2]), for u ≥ 3
This is the PDF that represents the distribution of the cost U based on the given transformation from the waiting time Y.
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-2 1/4 + -4 1/2
(Please answer as fast as possible)
Answer: -6 3/4
Short explained no step by step
On a coordinate plane, 2 lines are shown. Line P Q has points (negative 5, 3) and (5, 1). Line R S has points (negative 4, negative 2) and (0, negative 4).
Which statement best explains the relationship between lines PQ and RS?
They are parallel because their slopes are equal.
They are parallel because their slopes are negative reciprocals.
They are not parallel because their slopes are not equal.
They are not parallel because their slopes are negative reciprocals.
Given:
Line P Q has points (-5, 3) and (5, 1).
Line R S has points (-4, -2) and (0, -4).
To find:
The relationship between lines PQ and RS.
Solution:
If a line passing through two points, then the slope of line is
\(m=\dfrac{y_2-y_1}{x_2-x_1}\)
Line P Q has points (-5, 3) and (5, 1). So, slope of line PQ is
\(m_1=\dfrac{1-3}{5-(-5)}\)
\(m_1=\dfrac{-2}{5+5}\)
\(m_1=\dfrac{-2}{10}\)
\(m_1=\dfrac{-1}{5}\)
Line R S has points (-4, -2) and (0, -4). So, slope of line RS is
\(m_2=\dfrac{-4-(-2)}{0-(-4)}\)
\(m_2=\dfrac{-4+2}{0+4}\)
\(m_2=\dfrac{-2}{4}\)
\(m_2=\dfrac{-1}{2}\)
Slopes of two parallel lines are equal.
\(m_1\neq m_2\)
They are not parallel because their slopes are not equal.
Therefore, the correct option is C.
Answer:
the correct answer is c
Step-by-step explanation:
Edu2020
Simplify m7m−4.
please please helpppp
Answer:
\(m^8-4\)
Step-by-step explanation:
\(Rule: a^b\cdot \:a^c=a^{b+c}\\=m^7m=m^{7+1}\\=m^{7+1}-4\\=m^8-4\)
Andres is going to invest in an account paying an interest rate of 4% compounded
continuously. How much would Andres need to invest, to the nearest dollar, for the
value of the account to reach $4,700 in 11 years?
\(~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 4700\\ P=\textit{original amount deposited}\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &11 \end{cases} \\\\\\ 4700=Pe^{0.04\cdot 11} \implies 4700=Pe^{0.44}\implies \cfrac{4700}{e^{0.44}}=P\implies 3027\approx P\)