Critical values are x = -4 and x = -22/3.
1) To find g'(x) for g(x) = (934 + 5) (8x + 2), we first simplify the expression:
g(x) = (939)(8x + 2).
Now, we'll differentiate g(x) with respect to x:
g'(x) = d/dx [939(8x + 2)].
Since 939 is a constant, we can differentiate the remaining part:
g'(x) = 939 * d/dx (8x + 2).
Now, differentiating (8x + 2) with respect to x:
g'(x) = 939 * 8.
So, g'(x) = 7512.
2) For the function f(x) = (x + 4)²(x + 9), we need to find the critical values. Critical values occur when the first derivative, f'(x), is either equal to zero or undefined.
First, we find the derivative using the product rule. Let u = (x + 4)² and v = (x + 9). Then, we have:
u' = d/dx [(x + 4)²] = 2(x + 4),
v' = d/dx (x + 9) = 1.
Using the product rule, f'(x) = u'v + uv':
f'(x) = 2(x + 4)(x + 9) + (x + 4)².
Now, we need to find the values of x when f'(x) = 0:
0 = 2(x + 4)(x + 9) + (x + 4)².
We notice that the expression has a common factor of (x + 4):
0 = (x + 4)[2(x + 9) + (x + 4)].
Now, we have two factors, and we set each factor equal to 0:
x + 4 = 0 => x = -4,
2(x + 9) + (x + 4) = 0.
Solving the second equation:
2x + 18 + x + 4 = 0 => 3x + 22 = 0 => x = -22/3.
So, the critical values are x = -4 and x = -22/3.
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#94 will give brainliest to best answer!
Answer:
5/8
Step-by-step explanation:
There are 8 sections, and 4 sections that are 1, and 1 pink section. So adding these up, we get 5/8.
Hope this helped! :)
Select the correct answer.
Consider function f.
What is the domain of the linear piece?
Answer:
(0, ∞)
Step-by-step explanation:
The linear portion is the part that is a straight line. The hole at x=0 indicates that the function is not defined at x=0. Therefore, the domain of the linear portion of the function shown is (0, ∞).
⇒ Answer choice C
The domain of the linear piece is (0,∞). So, the right option is C.
What are functions?A function is a relation between a dependent variable (say f(x) ) and an expression of an independent variable (say x), used to determine the value of a dependent variable from a given value of an independent variable.
What is the domain of the function?The domain of a function is the set of independent variables, where the value of the dependent variables is defined.
How do we solve the given question?The linear part of the function starts from the point where x = 0 and then goes on for all positive values of x. At x = 0, the point on the graph is marked hollow, which represents that f(x) is not determined at x = 0.
So, the linear part of the function is defined for the values 0 < x < ∞, that is the domain of the linear piece of the function is 0 < x < ∞.
This can also be represented as (0,∞).
So the domain of the linear piece of the function f is (0,∞).
So, the right option is C.
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1 point
What are the two ways to show that a triangle is a right triangle?
a parameter represents: an unbiased estimator of the population mean. fixed characteristics of a population. certain characteristics of a random sample. fixed characteristics of a nonprobability sample. the geographical boundary of a population.
Parameter are values that represents fixed characteristics of a population.
What is a parameter?
The parameter is an important component in statistical analysis because it describes fixed characteristics of the given population. The way to conclude the population characteristics is to perform statistical analysis on a sample of the population then calculate it with the parameter formula. The most commonly used parameters are mean, median, and mode. Data distribution of a ratio can be described by mean. The Median is used to calculate the variables of data distribution which has a few data points that are different. Mode is used to know which number appears the most in a data distribution.
Based on statistical calculations from the existing population sample, conclusions can be drawn regarding the fixed characteristics of the entire population using parameters.
Hence, a parameter represents fixed characteristics of a population.
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express 121,200 in exponential (powers of 10) notation. express the earth sun distance in kilometers in powers of 10 notation.
The exponential form of given number 121200 is 1.212 × \(10^5\)
And the earth sun distance in kilometers in powers of 10 notation is 1.5 × \(10^8\)
For given question,
We need to express 121,200 in exponential (powers of 10) notation.
To use scientific notation, pick a value between 1 and 10, then multiply it by 10ˣ.
The number between 1 and 10 in 121200 is 1.212 with 5 decimal points.
So, the exponential notation of given number would be,
121,200 = 1.212 × \(10^5\)
Earth's average distance from the Sun is around 93 million miles (150 million kilometers). That's one AU.
So the number between 1 and 10 in 150,000,000 is 1.5, with 8 decimal points.
So, the distance between he Earth and the Sun is:
150,000,000 = 1.5 × 10⁸
Therefore, the exponential form of given number 121200 is 1.212 × \(10^5\)
And the earth sun distance in kilometers in powers of 10 notation is 1.5 × \(10^8\)
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50 pht helppppppppppppppppppppppppppppppppppppppp
Answer:
$1620
Step-by-step explanation:
The area of the lawn is a trapezoid.
Area of a trapezoid = \(\dfrac12(a+b)h\)
where a and b are the parallel sides (bases) and h is the height
Therefore,
\(area=\dfrac12(15+12) \times 10 = 135 \ m^2\)
If the price of sod is $12 per square meter, then
total cost = 135 x 12 = $1620
Answer:
Area=1/2(Sum of parallel sides)×HeightArea:-
\(\\ \tt\hookrightarrow \dfrac{1}{2}(15+12)\times 10=1/2(27)(10)=13.5(10)=135m^2\)
Now rate of cost is $12
Total cost=135(12)=1620$por favor ayúdeme!!
Answer:
CHEEEEEEEEESE
Step-by-step explanation:
• James gets paid £400 by work – he saves
16% of this. How much does he save?
Step-by-step explanation:
\( \underline{ \underline{ \text{Given}}} : \)
Total income : £ 400Percentage of money that he saves : 26%\( \underline{ \underline{ \text{To \: find}}} : \)
Total amount of money that he saves\( \underline{ \underline{ \text{Solution}}} : \)
\( \tt{16\% \: of \: 400}\)
⟷ \( \tt{ \frac{16}{100} \times 400}\)
⟷ \( \tt{ £ 64}\)
\( \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline { \tt{James \: saves \: \boxed { \: £\: 64}}}}}}}}\)
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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34% of all college students major in stem (science, technology, engineering, and math). if 40 college students are randomly selected, find the probability that
If the 34% of the college students major in STEM than the probability that exactly 15 of them major in STEM is 0.1162 .
In the question ,
it is given that ,
percent of students that major in STEM is = 34% ;
that means , p = 0.34 ; so , q = 0.6
number of students randomly selected (n) = 40 ,
By the Binomial Probability Distribution ,
we get ;
p(x = 15) = ⁴⁰C₅*(0.34)¹⁵*(0.66)²⁵
Simplifying the above value further ,
we get ;
p(x = 15) = 0.1162 .
Therefore , the required probability is 0.1162 .
The given question is incomplete , the complete question is
The 34% of all college students major in stem (science, technology, engineering, and math). if 40 college students are randomly selected, find the probability that exactly 15 of them major in stem .
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the quotient of a number n and "-3" is no less than 6. What is the value of n?
Answer: n >= -18
Step-by-step explanation:
n/-3 >= 6
(-3) (-3)
n >= -18
What two numbers will give me 16 multiplied and -10 added together?
Answer:
-2,-8
Step-by-step explanation:
-2-8 = -10
-2*-8= 16
Answer:
-2 and -8
Step-by-step explanation:
1. First, let's find the factors of 16: 1, 2, 4, 8, 16.
This means that the factors of 16 (which are negative) are -1, -2, -4, -8, -162. Now, we have to find with factors add up to -10.
\(1 + 16 = 17\) \(2 + 8 = 10\) \(4 + 4 = 8\) \(-1 - 16 = -17\) \(-2 - 8 = -10\)3. Great! Now that we found the two numbers that add to -10 and multiply to 16, the numbers are -2 and -8.
Make g the subject of the formula.
w = 7 - \(\sqrt{7}\)
According to the U.S. Geological Survey, there are over 300,000,000 cubic miles of water on the planet. How this number represented in scientific notation
Answer:
3.00x10^8
Step-by-step explanation:
So you want to make sure the number before the x10^ is beween 10 and 0 not including 10 and 0. So 1.00-9.99.
Move the demcil place up in 300,000,000 till your first number is between 1 and 9.99.
Then count how many places you moved it up, in this case 8
Add the amount of times you moved up to the x10^(in this space).
you answer is now 3.00 plus the x10^8
3.00x10^8
which is a characteristic of any function created by the product of two linear factors?
The characteristic of any function created by the product of two linear factors has two x-intercepts.
According to the question;
We are required to determine which is a characteristic of any function created by the product of two linear factors.
The product of two linear factors results in a quadratic function.
Since a quadratic function is a polynomial of degree two, 2.
In essence, the resulting function created by the product of two linear factors has two x-intercepts.
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Tyler built a toy box in the shape of a rectangular prism with an open top. The diagram below shows the toy box and a net of the toy box. What is the surface area, in square inches, of the toy box?
Answer:482 in ^2
Step-by-step explanation:
What is the value of the y-intercept for all proportional relationships?
a. 1/2
b. 1/1
c. 0
d. 2
Answer:
a : 2 , b : 1 , c : 0 , d : 0
Step-by-step explanation:
a: 2
b: 1
c: 0
d:0
Answer:
d .
Step-by-step explanation:
I went over it in class .
helpppppppppppppppppp asap
Answer:
97o im pretty sure
Step-by-step explanation:
Answer:
Your answer should be C
Step-by-step explanation:
63+44=107
does anyone know the answer to this?
Answer:
it might be 48 seeing that 1/4 of df is dz so add zf to it and df should equal 48
Step-by-step explanation:
1) ab (c² + 1) - C (a² + b²)
Answer:
(a+bc)(ac+b)
Step-by-step explanation:
Step 1:
abc²+ab+a²c+b²c
Step 2:
ab+a²c+abc²+b²c
Step 3:
a(ac+b)+bc(ac+b)
Step 4:
(a+bc)(ac+b)
So your final answer is:
(a+bc)(ac+b)
Anne is 35 years old, Bob is 24 years old, Charlie has feature A, and Daniel doesn’t have feature A. You’re allowed to ask people how old they are and whether they have feature A. You want to conclusively test the hypothesis “among these four people, those above age 30 definitely have feature A”.
What’s the minimum number of people you have to ask?
One person
Two people
Three people
Four people
Clear
Which people do you ask?
Anne
Bob
Charlie
Daniel
Two people, Anne and Charlie.
StatisticsGiven that Anne is 35 years old, Bob is 24 years old, Charlie has feature A, and Daniel doesn't have feature A, and you want to conclusively test the hypothesis “among these four people, those above age 30 definitely have feature A ”, to determine what's the minimum number of people you have to ask and which people do you ask, the following calculation must be performed:
Of the 4 people, 1 is over 30 years old and another has feature A, with which both should be considered for the study, while the other two do not meet the requirements. So, these two people would be Anne and Charlie.
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change this root into a power
Find the value of x in x + y = 9 and x - y = 2.5.553.5-5.5
Step 1
Given; Find the value of x in x + y = 9 and x - y = 2.
Step 2
Using the elimination method.
\(\begin{gathered} x+y=9 \\ + \\ x-y=2 \\ --------- \\ 2x\text{ +0=11} \end{gathered}\)Hence,
\(\begin{gathered} 2x=11 \\ x=\frac{11}{2} \\ x=5.5 \end{gathered}\)Answer;
\(x=5.5\)Simplify this expression. Assume that x is nonzero.
x^−11•x^2
Answer:
Step-by-step explanation:
I'm assuming that you meant: x^(-11)*x^2. Here there's a common base: x.
Then this expression becomes x^(-11*2)*x^2. We need only combine (add up) the exponents of x: x^(-11*2)*x^2 = x^(-11 + 2) = x^(-9). Use of parentheses as shown is important here.
Note that x^(-9) is the same as
1
------------
x^9
The manufacturer of a popular brand of markers is planning to release a new color. To determine which color to add, it mailed out surveys to 5,000 of its customers regarding the general color family they prefer. The returned results are shown in this pie chart.
A Pie Chart with four sections representing the color preferences Blues, Greens, Yellows, and Pinks
Based on the results, one member of the management team says they should choose the new color from the blue family of colors since a majority of people prefer those colors.
Another member doesn’t agree and thinks they should do more research. Which statements would support her request?
The percentage obtained from the pie chart for different colors are Blue =29%, Green = 25%, Yellow = 24%, & Pink = 22%.
As per the results of the survey, Blue color received 29% votes so it must be chosen as the new color for receiving majority votes but as the other three colors also received almost similar percentage of votes. So, the manufacturer must do more research in order to reach on any conclusion.
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the heights of the adults in one town have a mean of 67.4 inches and a standard deviation of 3.4 inches. what can you conclude from chebyshev's theorem about the percentage of adults in the town whose heights are between 57.2 and 77.6 inches?
Using the concept of statistics, at least 88.9% adults heights are in between 57.2 and 77.6 inches.
First, we determine how many standard deviations from the mean the lower and upper limits are.
Lower limit 67.4 - 57.2 = 10.4
=10.2 / 3.4 = 3 standard deviations.
upper limit 77.6 - 67.4 = 10.2
=10.2 / 3.4 = 3 standard deviations.
When Chebyshev's theorem applies to all data sets and one of its claims is that at least 8/9 of the data points will lie within 3 standard deviations of the mean.
On converting the above data in form of percentage we get answer as
=(\(\frac{8.100}{9}\))
=88.9%
Hence, at least 88.9% adults heights are in between 57.2 and 77.6 inches. after applying Chebyshev's theorem.
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HURRY PLS ANSWER NOW!!
What is the area of the trapezoid?
33 in2
52.5 in2
82.5 in2
91 in2
Answer:
91 in2
Step-by-step explanation:
11+15 over 2 , times by 7 equals 91 ??
PLEASE HELP (85 points)
Part A: If (7^2)^x = 1, what is the value of x? Explain your answer. (5 points)
Part B: If (7^0)^x = 1, what are the possible values of x? Explain your answer. (5 points)
Part A
Answer: x = 0
--------------------
Explanation:
Anything to the 0th power exponent is equal to 1, as long as the base isn't 0 itself. So (7^2)^x = (7^2)^0 = 1.
=========================================
Part B
Answer: x = any real number you want
--------------------
Explanation:
The 7^0 evaluates to 1, due to the rule discussed back in part A.
This means (7^0)^x = 1 becomes 1^x = 1. We can replace x with any real number and we would have 1^x always evaluate to 1.
For instance, if x = 3, then 1^x = 1^3 = 1*1*1 = 1. Multiplying out a string of 1's leads to 1 as the final result. We could even have 1^0 and we'd still evaluate to 1.
Answer:
Part A: If (7^2)^x = 1, ⇒ x=0 Part B: If (7^0)^x = 1 ⇒ x∈RStep-by-step explanation:
Part A: If (7^2)^x = 1, what is the value of x?
Any number (except 0) to the power of 0 gives 1 (Law of Exponents)
And there is no other power that gives 1 if base is not 1
7^2≠1 so x must be 0
Part B: If (7^0)^x = 1, what are the possible values of x?
7^0 = 1 and 1 to any power always gives 1, so no mater what x we choose we always get 1
Can anyone help me solve this problem and explain how you got the answer I am pretty confused :(
Solve for X ____
Solve for Y ____
Step-by-step explanation:
since it is a right and isosceles triangle, therefore :
X = Y = (180-90)/2 = 90/2 = 45
X = 45°
Y = 45°
I generally need help
Answer:
24 units²
Step-by-step explanation:
4(12)/2=24
I have no idea how to delete a question
This is the anthem
Told the world I need everything and some, yeah
Two girls that's a tandem
She gon' do all it for me when them bands come
Got it all, yeah I'm young, rich, and handsome
Uh, this s is not random
Everybody ain't got it, understand son, yeah
This s is not random
Woah okay
- G easy
Answer:
you cant
Step-by-step explanation:
good song