Answer:
Line segment PN
Step-by-step explanation:
1) Write these using index notation:
a. 2 X 2 X 2 X 2
b. 5 X 5 X 5 X 7 X 7
Answer:
a) \(2^{4}\)
b) \(5^{3}\) x \(7^{2}\)
Step-by-step explanation:
You can group together like base values, so 3 x 3 x 3 x 3 x 3 becomes 3 to the power of 5. All it means is that you are multiplying the base value (in this case 3) by itself 5 times.
Index notation makes it easier in more complex equations to solve, as its simpler and doesn't take up as much space.
Hope this helped : )
The one sample chi-square is used to determine whether the distribution of a single categorical variable is significantly different from that which would be expected by chance.
True or False
The one-sample chi-square test is used to determine whether the distribution of a single categorical variable significantly differs from what would be expected by chance. The statement is True.
The one-sample chi-square test is a statistical test used to determine if there is a significant difference between the observed frequency and the expected frequency in a single categorical variable. It compares the observed frequency distribution of a variable to the expected frequency distribution, assuming that the null hypothesis is true.
This test compares observed frequencies to expected frequencies and calculates a chi-square statistic to assess the significance of the difference.
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Solve for the missing variable
3.5x=14
What is 10/14 simplified
Answer:
5/7
Step-by-step explanation:
you divide by 2 or 3 or 4 or 5 ect
Step-by-step explanation:
find a common denomination
10÷2=5
14÷2=7
so, 10/14 = 5/7
Help me solve please!
I need explanations for the solution too. Thank you.
Answer:
angle gef = 38
fg= 4
i think
During a sale, a dress is marked down from a selling price of $90 to a sale price of $72. What is the percent markdown?
Answer:
20 %
Step-by-step explanation:
12/-3 Enter your answer as a number, like this: 42
Answer:
-4
Step-by-step explanation:
12/-3=-4
A machine can pack 80 cans in 5 minutes. Choose all of the values that show the ratio of cans to minutes.
Answer:
16 cans per minute
Step-by-step explanation:
Its simple 80 divided by 5 is 16 so ever minute 16 cans are packed.
The ratio of the cans to minutes is 80 : 5 or 16 : 1, and the machine can pack 16 cans per minute if a machine can pack 80 cans in 5 minutes.
What is the ratio?It is defined as the comparison between two quantities that how many times the one number acquires the other number. The ratio can be presented in the fraction form or the sign: between the numbers.
A machine can pack 80 cans in 5 minutes.
let's denote the number of cans with X and
Time with T
So we have to find the value of X : T
X = 80 and
T = 5 minutes
X : T = 80 : 5 or
X : T = 16 : 1 (divide by 5 on both sides)
It means the machine can pack 16 cans per minute.
Thus, the ratio of the cans to minutes is 16 : 1, and the machine can pack 16 cans per minute if a machine can pack 80 cans in 5 minutes.
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CRIS 100 A hostel had rations for 60 days for 500 students. After 12 days, 300 more students join the hostel mess How long will the remaining ration last?
Answer:
30
Step-by-step explanation:
\(500\times\left(60-12\right)\div\left(300+500\right)\)
Calculate
\(\frac{500\times\left(60-12\right)}{300+500}\)
Calculate the sum or difference
\(\frac{500\times48}{300+500}\)
Calculate the sum or difference
\(\frac{500\times48}{800}\)
Cross out the common factor
\(\frac{5\times48}{8}\)
Cross out the common factor
\(5\times6\)
Calculate the product or quotient
\(30\)
WILL MARK YOU BRAINLIEST!!
Answer:
B. B and C
Step-by-step explanation:
The compass point is a point or points that point towards north, south, east, west, North-East, South-East, South-West and North-West. So point B and C are compass points. Hope this helps! :3
which pair of statements about the lengths of the two sides of the triangle is true?
Answer:
D
Step-by-step explanation:
I Looked at te graph and counted each space
Answer:
Step-by-step explanation:
The Anwser is B
\[ g(x)=2 \sqrt{3 e^{-6 x}+2} \] Step 2 of 2: Use \( g^{\prime}(x) \) to determine the intervals on which the given function is increasing or decreasing. Separate multiple intervals with commas. Answe
The function \[ g(x)=2 \sqrt{3 e^{-6 x}+2} \] is decreasing on all intervals.
To determine the intervals on which the given function is increasing or decreasing, we need to find the derivative of the function \( g(x) = 2 \sqrt{3 e^{-6 x}+2} \), denoted as \( g'(x) \).
To find the derivative, we can use the chain rule. The derivative of \( \sqrt{u} \) is \( \frac{1}{2\sqrt{u}} \cdot \frac{du}{dx} \). Let's apply the chain rule to find \( g'(x) \):
\[ g'(x) = \frac{d}{dx}\left[2 \sqrt{3 e^{-6 x}+2}\right] \]
Applying the chain rule, we get:
\[ g'(x) = 2 \cdot \frac{1}{2\sqrt{3 e^{-6 x}+2}} \cdot \frac{d}{dx}\left[3 e^{-6 x}+2\right] \]
\[ g'(x) = \frac{1}{\sqrt{3 e^{-6 x}+2}} \cdot \frac{d}{dx}\left[3 e^{-6 x}+2\right] \]
Now, let's find the derivative of \(3 e^{-6 x}+2\) with respect to \(x\):
\[ \frac{d}{dx}\left[3 e^{-6 x}+2\right] = 3 \cdot \frac{d}{dx}\left[e^{-6 x}\right] + \frac{d}{dx}\left[2\right] \]
Since \(e^{-6 x}\) is an exponential function, its derivative is \(e^{-6 x} \cdot (-6)\):
\[ \frac{d}{dx}\left[e^{-6 x}\right] = e^{-6 x} \cdot (-6) \]
The derivative of a constant term like \(2\) is \(0\):
\[ \frac{d}{dx}\left[2\right] = 0 \]
Substituting these values back into the equation for \(g'(x)\):
\[ g'(x) = \frac{1}{\sqrt{3 e^{-6 x}+2}} \cdot \left(e^{-6 x} \cdot (-6) + 0\right) \]
Simplifying:
\[ g'(x) = \frac{-6 e^{-6 x}}{\sqrt{3 e^{-6 x}+2}} \]
Now that we have the derivative, we can determine the intervals on which the given function \(g(x)\) is increasing or decreasing.
For the given function \(g(x) = 2 \sqrt{3 e^{-6 x}+2}\), the derivative \(g'(x) = \frac{-6 e^{-6 x}}{\sqrt{3 e^{-6 x}+2}}\).
To determine the intervals of increase and decrease, we need to find where \(g'(x)\) is positive or negative.
When \(g'(x) > 0\), the function is increasing.
When \(g'(x) < 0\), the function is decreasing.
Since the denominator \(\sqrt{3 e^{-6 x}+2}\) is always positive, the sign of \(g'(x)\) will be determined by the numerator \(-6 e^{-6 x}\).
Setting \(g'(x) > 0\) and solving for \(x\):
\[ -6 e^{-6 x} > 0 \]
Dividing both sides by \(-6\), we get:
\[ e^{-6 x} < 0 \]
Since \(e^{-6 x}\) is always positive, there are no values of \(x\) that satisfy \(e^{-6 x} < 0\).
Therefore, \(g'(x)\) is never positive and the function \(g(x)\) is never increasing.
Setting \(g'(x) < 0\) and solving for \(x\):
\[ -6 e^{-6 x} < 0 \]
Dividing both sides by \(-6\), we get:
\[ e^{-6 x} > 0 \]
Since \(e^{-6 x}\) is always positive, all values of \(x\) satisfy \(e^{-6 x} > 0\).
Therefore, \(g'(x)\) is always negative and the function \(g(x)\) is always decreasing.
Therefore, the given function \(g(x) = 2 \sqrt{3 e^{-6 x}+2}\) is decreasing on all intervals.
Hence, the function is decreasing on all intervals.
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A researcher believes that on average, the span (distance from thumb to finger) of a person’s dominant hand is greater than that of their non-dominant hand. To investigate her belief, she randomly sampled 35 individuals for the study. She measured and recorded the spam (in centimetres) of both the dominant and the non-dominant hands of each of the individuals in the study. WHICH of these statistical techniques would be the MOST appropriate?
A researcher believes that on average, the span (distance from thumb to finger) of a person’s dominant hand is greater than that of their non-dominant hand. To investigate her belief, she randomly sampled 35 individuals for the study. She measured and recorded the spam (in centimetres) of both the dominant and the non-dominant hands of each of the individuals in the study. WHICH of these statistical techniques would be the MOST appropriate?
ANOVA
Paired samples t test
Independent samples t test
Wilcoxon’s matched pairs sign rank test
Mann-Whitney U test
The Paired samples t-test is the most suitable statistical technique for comparing the mean span of the dominant and non-dominant hands in this study.
To investigate whether the span of a person's dominant hand is greater than that of their non-dominant hand, the most appropriate statistical technique would be the Paired samples t-test.
The Paired samples t-test is used when comparing the means of two related groups or conditions. In this case, the dominant and non-dominant hands are related because they belong to the same individuals in the study. By comparing the means of the dominant and non-dominant hand spans, we can determine if there is a significant difference between the two.
The other options listed, ANOVA (Analysis of Variance), Independent samples t-test, Wilcoxon's matched-pairs signed rank test, and Mann-Whitney U test, are not suitable for this scenario because they are designed for different types of comparisons:
- ANOVA is used when comparing the means of three or more independent groups, which is not the case here.
- Independent samples t-test is used when comparing the means of two independent groups, which is not the case here as the measurements are paired.
- Wilcoxon's matched-pairs signed rank test and Mann-Whitney U test are non-parametric tests that are used when the data do not meet the assumptions of parametric tests. However, in this case, we have paired measurements, and the paired samples t-test is the appropriate parametric test.
Therefore, the Paired samples t-test is the most suitable statistical technique for comparing the mean span of the dominant and non-dominant hands in this study.
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help and thankyou
What is the slope of the line?
Answer:
The slope is 4/5
Step-by-step explanation:
m = rise/run
(-3,1) and (2,-3)
4/5
m = 4/5
the set of all elements of interest in a study is . a. a sample b. set notation c. a set of interest
The statement describes a set of interest in a study, which is the set of all elements being investigated or under consideration. It is not a sample, which refers to a subset of the population being studied.
The set of all elements of interest in a study is called the population. It refers to the entire group of individuals, objects, or measurements that are being studied and from which data can be collected. The population can be finite or infinite and can include people, animals, plants, materials, or any other object or concept of interest. In statistical analysis, researchers use samples of the population to make inferences or draw conclusions about the entire population. By selecting a representative sample, researchers can reduce the cost and time required for data collection and analysis while still obtaining valid and reliable results.
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Which of these ordered pairs is NOT a solution to this system
Answer:
C
Step-by-step explanation:
to determine which ordered pair is not a solution , substitute the coordinates of the point into the inequalities and check the validity. Note that both inequalities must be true for the point to be a solution.
A (- 3, 3 )
3 ≥ - 3 - 5
3 ≥ - 8 ← true
3(3) < - 6(- 3) + 3
9 < 18 + 3
9 < 21 ← true
------------------------------------------
B ( - 1, 2 )
2 ≥ - 1 - 5
2 ≥ - 6 ← true
3(2) < - 6(- 1) + 3
6 < 6 + 3
6 < 9 ← true
------------------------------------------
C (4, 5 )
5 ≥ 4 - 5
5 ≥ - 1 ← true
3(5) < - 6(4) + 3
15 < - 24 + 3
15 < - 21 ← false
-------------------------------------------
D (- 6, 0 )
0 ≥ - 6 - 5
0 ≥ - 11 ← true
3(0) < - 6(- 6) + 3
0 < 36 + 3
0 < 39 ← true
--------------------------------------------
Both inequalities are true in A, B , D
Both inequalities in C are not true so (4, 5 ) is not a solution to the system
Given f(x), find g(x) and h(x) such that f(x) = g(h(x)) and neither g(x) nor h(X) is solely X.
G(X)=?
H(X)=?
The functions \(g(x) = x^{1/3} - 5\) and h(x) = -2x + 4 satisfy the condition f(x) = g(h(x)), and neither g(x) nor h(x) is solely x.
To find functions g(x) and h(x) such that f(x) = g(h(x)), where neither g(x) nor h(x) is solely x, let's start with the given function:
f(x) = ∛(-2x + 4) - 5
We can rewrite f(x) as:
f(x) = g(h(x))
To find h(x), we want to identify the inner function that transforms x into -2x + 4. So, let's set h(x) = -2x + 4.
Now, we need to find g(x) such that g(h(x)) = f(x). We want to express f(x) in terms of g(x).
Since h(x) = -2x + 4, we have:
g(h(x)) = g(-2x + 4)
We need to find a function g(x) that when applied to -2x + 4 will give us ∛(-2x + 4) - 5. To do this, we can set g(x) = \(x^{1/3}\) - 5.
Now we have:
\(g(h(x)) = (-2x + 4)^{1/3} - 5\)
Therefore, the functions \(g(x) = x^{1/3} - 5\) and h(x) = -2x + 4 satisfy the condition f(x) = g(h(x)), and neither g(x) nor h(x) is solely x.
The complete question is:
Given f(x) find g(x) and h(x) such that f(x) = g(h(x)) and neither g(x) nor h(x) is solely x \(f(x) = \sqrt[3]{- 2x + 4} -5\)
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Use the Multiplication Law of Exponents to explain why 5^3*5^-3 = 1
(URGENT PLEASE)
The multiplication law states that
a^m×a^n=a^m+nSo
5³×5-³=15^(3-3)=15⁰=11=1Answer:
1 = 1
Step-by-step explanation:
5^3*5^-3 = 1We all know the law of exponents,the one we'll use to solve this is the multiplication law:
x^y * x^z = x^y+zIf the bases are equal or two numbers then the powers are equal too.Solved:
\(5^3 \: * \: 5^{-3} = 1\)\(5 {}^{3 + ( - 3)} = 1\)\(5 ^{0} = 1\)x^0 = 1
\(1 = 1 \: ( \rm \: Proved)\)Alternate method:
5^3*5^-3 = 15^3*1/5^3 = 15^3 and 5^3 cancels, which results to
1 = 14-5 Isosceles and Equilateral Triangles
What is the value of x?
(5x)°
-(3x + 28)°
Answer:
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What fraction is equal to 40% ?
Your Answer is:
4/10
Step-by-step explanation:
because 4 out of 10=40%...
When six is subtracted from five times a number, the result is 9
Given that, when six is subtracted from five times a number, the result is 9. The number is 3.
What is the number?Given that, when six is subtracted from five times a number, the result is 9.
Let the number be y, such that;
(5 × y) - 6 = 9
Next, we solve for y
(5 × y) - 6 = 9
5y - 6 = 9
5y = 6 + 9
5y = 15
y = 15 / 5
y = 3
Given that, when six is subtracted from five times a number, the result is 9. The number is 3.
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PLEASE HELP ME ITS ALGEBRA 1 ANYONE PLEASE !!!
Answer:
answer of this question is r=0.94
Answer: oh god
Step-by-step explanation:
In mathematics, the Fibonacci numbers are the numbers in the following integer sequence, called the Fibonacci sequence, and characterized by the fact that every number after the first two is the sum of the two preceding ones:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144 ...
The recursive function that returns the nth fibonacci number is stated as follows -
The recursive function will be -
def fibonacci (n):
if n <= 1:
return n
else:
return fibonacci(n - 1)
To use this function, users must write it as follows-
print(fibonacci(6)) where the generated output will be 8. The answer is provided by calculating the average of (n - 1)th and (n - 2)th numbers to get he nth fibonacci number. The methodology is utilizes owing to presence of 0 and 1 in the beginning.
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The complete question is -
Fibonacci In mathematics, the Fibonacci numbers are the numbers in the following integer sequence, characterized by the fact that every number after the first two is the sum of the two preceding ones: 0, 1, 1, 2, , 5, 8, 13, ... Write a recursive function that returns the nth fibonacci number.
If there are 18 frogs in the tank and I put 9 in the bowl how many are left. 15 points
Answer:
Tank: 9 Bowl: 9
9 + 9 = 18
Step-by-step explanation:
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1. Find the surface area of the pyramid. SHOW YOUR WORK.
5 cm
9cm...
5 cm
5 cm
9 cm
a. Find the area of all 4 triangles. SHOW YOUR WORK including formula and final units.
b. Find the area of the square. SHOW YOUR WORK hhxgincluding formula and final units.
c. Find the total surface area of the pyramid. SHOW YOUR WORK and include the units.
I need the answer fast !!!
The surface area of the square pyramid is 115 square meters
Finding the surface area of the prismFrom the question, we have the following parameters that can be used in our computation:
The square based pyramid
The formula for the surface area of a square pyramid is:
S = a² + 2al
where a is the length of one side of the square base and l is the slant height.
Area of 4 triangles
This is calculated as
A = 1/2 * 5 * 9 * 4 = 90
Area of the square
This is calculated as
A = 5 * 5 = 25
So, we have
Area = 90 + 25
Area = 115
Hence, the surface area of the square pyramid is 115 square meters.
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Tanisha and some friends are going to the movies. At the theater, they sell a bag of
popcorn for $5.50 and a drink for $4. How much would it cost if they bought 4 bags
of popcorn and 6 drinks? How much would it cost if they bought p bags of popcorn
and d drinks?
Which store offers the lowest unit rate for lettuce in dollars per pound?
the heights of women aged 20 to 29 are approximately normal with mean 64 inches and standard deviation 2.7 inches. men the same age have mean height 69.3 inches with standard deviation 2.8 inches. (a) what is the z-score for a woman 56 inches tall?
I need some help please
This two points' required point slope equation is y -24 = -7 (x + 4).
What is a slope?A line's slope is how steeply it slopes from LEFT to RIGHT. The slope of a line is determined by dividing its ascent, or vertical change, by its run, or horizontal change.
A mathematical statement known as an equation consists of two algebraic expressions separated by equal signs (=) on either side.
It demonstrates the equality of the relationship between the printed statements on the left and right.
Left side equals right side in all formulas.
To find the values of unknowable variables, which stand in for unknowable quantities, you can solve equations.
A statement is not an equation if it lacks the equals sign.
When two expressions have the same value, a mathematical statement known as an equation will include the symbol "equal to" between them.
According to our question-
x1,y1=4,-24
x2,y2=7,-53
m= -53-24/7+4
m= -7
equation is
y - 24 = -7 (x +4).
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what is the answer to x=5-y x+xy+2y^(2)=2