Estimate the side length of a square that has a 9 cm long diagonal. ( The perimeter of a square is typically 2.8 times bigger than the diagonal)
The diagonal and two adjacent sides of the square form an isosceles right triangle.
By the Pythagorean theorem
\(\begin{gathered} s^2+s^2=9^2 \\ 2s^2=81 \\ s^2=\frac{81}{2} \\ s=\sqrt[]{\frac{81}{2}} \\ s=\frac{9}{\sqrt[]{2}} \\ s=6.36\text{ cm} \end{gathered}\)below is a cumulative algorithm using an array and a range-based loop. what is printed? (assume this is inside main() with all includes, etc.)
Without seeing the algorithm, it is impossible to provide an answer.
The question states that there is a cumulative algorithm using an array and a range-based loop, but the actual algorithm is not provided. Therefore, without knowing what the algorithm is doing or what values are being used, it is impossible to determine what will be printed.
The question is incomplete as it does not provide the cumulative algorithm that is being referred to. Therefore, no answer can be provided without additional information.
That without the specific algorithm and code snippet, I am unable to determine what will be printed. For a proper explanation, please provide the cumulative algorithm using an array and a range-based loop that you mentioned.
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The net of a cylinder is shown below.
a) Work out the length x, in mm.
b) What is the total surface area of the cylinder, in
mm²?
Give your answers in terms of .
5 mm
5 mm
I
[4 mm
How do I solve this I don't no how to do this find the slope
Answer:
5
Step-by-step explanation:
slope = rise/run or y-value/x-value
point=(10,50)
50/10=5
slope=5
what's the answer 2(x - 5) ≤ - 16. Pls Help
Answer: x <-3 (use the less than sign with the line under I don’t know how to put it on there through my phone.)
Step-by-step explanation: 2x-10< -16
2x<-6
x<-3
Answer:
x ≤ -3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
2(x - 5) ≤ -16
Step 2: Solve for x
Divide 2 on both sides: x - 5 ≤ -8Add 5 on both sides: x ≤ -3Here we see that any value x smaller than or equal to -3 would work as a solution.
EX24) 29 du Use the chain rule to find the indicated derivative. og, where du g(u, v) = f(x(u, v),y(u, v)), f(x,y) = 7x³y³.x(u, v) = ucosv, y(u, v) = usiny = 56u² cos v sin³ v
∂g/∂u is equal to 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v)).
To find the indicated derivative, we need to use the chain rule. Let's differentiate step by step:
Given:
g(u, v) = f(x(u, v), y(u, v))
f(x, y) = 7x³y³
x(u, v) = ucos(v)
y(u, v) = usin(v)
To find ∂g/∂u, we differentiate g(u, v) with respect to u while treating v as a constant:
∂g/∂u = (∂f/∂x) * (∂x/∂u) + (∂f/∂y) * (∂y/∂u)
To find ∂f/∂x, we differentiate f(x, y) with respect to x:
∂f/∂x = 21x²y³
To find ∂x/∂u, we differentiate x(u, v) with respect to u:
∂x/∂u = cos(v)
To find ∂f/∂y, we differentiate f(x, y) with respect to y:
∂f/∂y = 21x³y²
To find ∂y/∂u, we differentiate y(u, v) with respect to u:
∂y/∂u = sin(v)
Now, we can substitute these partial derivatives into the equation for ∂g/∂u:
∂g/∂u = (21x²y³) * (cos(v)) + (21x³y²) * (sin(v))
To find the simplified form, we substitute the given values of x(u, v) and y(u, v) into the equation:
x(u, v) = ucos(v) = u * cos(v)
y(u, v) = usin(v) = u * sin(v)
∂g/∂u = (21(u * cos(v))²(u * sin(v))³) * (cos(v)) + (21(u * cos(v))³(u * sin(v))²) * (sin(v))
Simplifying further, we get:
∂g/∂u = 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v))
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Use the data set and line plot below. Jerome studied the feather lengths of some adult fox sparrows. How long are the longest feathers in the data set
Answer:
\(Longest = 2\frac{3}{4}\ in\)
Step-by-step explanation:
Given
See attachment for plot
Required
The longest feather
To solve this, we simply identify the highest dataset represented on the line plot.
From the attached plot, we have:
\(Shortest = \frac{3}{4}\)
and
\(Longest = 2\frac{3}{4}\ in\)
Hence, the longest is: \(2\frac{3}{4}\ in\)
Which pair of functions are inverses of each other?
Answer:
c
Step-by-step explanation:
the inverse of something cubed is the cubed root of that number
Let f(x) =4x-1 and g(x)=2^x+3. Find (f-g) (5)
Answer:
\(-16\)
Step-by-step explanation:
\(f(5)=4(5)-1=19 \\ \\ g(5)=2^5+3=35 \\ \\ (f-g)(5)=f(5)-g(5)=19-35=-16\)
How much more intense is an 8. 5 earthquake than a 5. 5
Answer:
it is more intense by 3.0
Step-by-step explanation:
A Ioan is made for \( \$ 3500 \) with an interest rate of \( 9 \% \) and payments made annually for 4 years. What is the payment amount?
The payment amount for the loan is approximately $832.54.
To calculate the payment amount for a loan, we can use the formula for the present value of an annuity. The formula is as follows:
\[ P = \frac{A \times r}{1 - (1 + r)^{-n}} \]
Where:
- P is the loan principal (initial amount borrowed)
- A is the payment amount
- r is the interest rate per period (expressed as a decimal)
- n is the total number of periods
In this case, the loan principal (P) is $3500, the interest rate (r) is 9% (or 0.09 as a decimal), and the number of periods (n) is 4 (since payments are made annually for 4 years). We need to solve for A, the payment amount.
Plugging in the given values into the formula, we get:
\[ 3500 = \frac{A \times 0.09}{1 - (1 + 0.09)^{-4}} \]
To solve for A, we can rearrange the equation:
\[ A = \frac{3500 \times 0.09}{1 - (1 + 0.09)^{-4}} \]
Let's calculate the value of A using this equation:
\[ A = \frac{3500 \times 0.09}{1 - (1.09)^{-4}} \]
\[ A \approx \frac{315}{0.3781} \]
\[ A \approx \$832.54 \]
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The weights for a group of 18-month- old girls are normally distributed with a mean of 24.5 pounds and a standard deviation of 2.8 pounds. Use the given table to find the percentage of 18 -month-old girls who weigh more than 27.3 pounds. _ % of 18-month-old girls in the sample weigh more than 27.3 pounds.
Remember that
z =(x - μ)/σ
where
μ=24.5 pounds
σ=2.8 pounds
so
For x=27.3 pounds
Find out the value of z
z=(27.3-24.5)/2.8
z=1
Looking at the given tables
The probability is equal to (100-84.13)=15.87
therefore
The answer is 15.87%Recall that real GDP = nominal GDP x Deflator. In 2005, country
A's GDP was 300bn and the deflator against 2004 prices was 1.15.
Find the real GDP for country A in 2004 prices.
The real GDP for country A in 2004 prices was 260.87 billion.
What was the adjusted real GDP in 2004?To calculate the real GDP in 2004 prices, we need to use the formula: real GDP = nominal GDP x Deflator. Given that the nominal GDP in 2005 for country A was 300 billion and the deflator against 2004 prices was 1.15, we can substitute these values into the formula.
Real GDP = 300 billion x 1.15 = 345 billion. However, since we want to find the real GDP in 2004 prices, we need to adjust it. To do that, we divide the calculated real GDP by the deflator: 345 billion / 1.15 = 300 billion.
Therefore, the real GDP for country A in 2004 prices is 260.87 billion.
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Gavin combines Thirty-two and two-fifths ounces of water and 7.15 ounces of lemon juice in a pitcher to make lemonade. Which is the most reasonable estimate for the amount of liquid in the pitcher? 39 ounces 42 ounces 45 ounces 47 ounces
Answer:
OPTION A is correct
39 ounces
Step-by-step explanation:
Given:
The amount of water in the pitcher= 32 ounces
The amount of lemon juice in the pitcher = 7.15 ounces
We were to calculate the most reasonable estimate for the amount of liquid in the pitcher
To do this we need to sum up the Amount of water and Amount of lemon juice in the pitcher because the water is a liquid as well as the lemon juice which is
32 ounces + 7.15 ounces
=39.15 ounces
Therefore, the Estimated amount of liquid in the pitcher is approximately 39 ounces
2x + 3 = 23 steps for x?
Answer:
x=10
Step-by-step explanation:
work in the photo
Answer:
x=10
Step-by-step explanation:
Subtract 3 from both sides
2x=23-3
Simplify 23-3 to 20
2x=20
Divide both sides by 2
x= 2 0/2
Simplify 20/2 to 10
x=10
Or the greenville tigers are having team shirts made. one option is to pay anthony's tees a $40 setup fee and then buy the shirts for $6 each. another option is to go to city printing, paying $20 for a setup fee and an additional $10 per shirt. the team parent in charge of the project notices that, with a certain number of shirts, the two options have the same cost. what is the cost?
The total cost of the shirts that have same cost when x=5 is,
c=70
What is an equation?A mathematical equation is a formula that joins two expressions and expresses their equivalence using the equals symbol (=). The definitions of the word equation and its cognates in different languages may differ slightly.
The entire cost is c
c = 40 + 6x
c = 20 + 10x
The quantity of shirts is x.
Via utilizing one of the equations to solve for one of the variables and then substituting that variable's value into the other equation, you can solve by substitution.
40+6x=20+10x
4x=20
x=5
You would solve for c in the first equation in this problem.
40+6x where x=5 then,
c=70
Since it has already been solved for c, all that is left to do is swap out c with its equivalent in the second equation.
20+10x where x=5 then,
c=70
Therefore, the total cost of the shirts that have same cost is c=70 when x=5.
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Write a rule in function notation for each situation:
1. Sales tax is 7% of the total price
2. For f(x) = 1/4x + 10, find x such that f(x) = 14
Then,
3. Identify the independent and dependent variables.
"The essay instructions were to write three facts about each person listed."
Answer:
1. \(\bold{S=f(P) = 0.07P}\)
2. x = 16
3. Part 1: P is the independent variable and S is the dependent variable.
Part 2: x is the independent variable and y is the dependent variable.
Step-by-step explanation:
1. To write the function notation for:
Sales tax is 7% of the total price.
Let the total price be \(P\).
And sales tax be \(S\).
As per the given statement:
\(S = 7\% \ of\ P\\\Rightarrow S =\dfrac{7}{100}P\\\Rightarrow S=0.07P\)
Writing it in the function notation:
\(\bold{S=f(P) = 0.07P}\)
2. To find the value of x such that \(f(x) = 14\) and
\(f(x) = \dfrac{1}4x + 10\)
Putting the value of \(f(x) = 14\)
\(14 = \dfrac{1}4x + 10\\\Rightarrow \dfrac{1}4x =14-10\\\Rightarrow \dfrac{1}4x =4\\\Rightarrow x =4\times 4\\\Rightarrow \bold{x =16}\)
3. To find the dependent and independent variable.
Independent variables are those whose value is not dependent on the other variable's values.
Dependent variables are dependent on the value of other variables.
In question 1:
\(\bold{S=f(P) = 0.07P}\)
P is the independent variable.
S is the dependent variable.
In question 2:
If we write it as follows:
\(y=f(x) = \dfrac{1}4x + 10\)
x is the independent variable and y is the dependent variable.
help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!
Answer:
272
Step-by-step explanation:
\(240(1+0.025)^{5} \approx 272\)
Help please!!!!!!!! I’m confused
Answer:
y = 0
Step-by-step explanation:
x + 2y = 2 ( subtract 2y from both sides )
x = 2 - 2y → (1)
x = - 4y + 2 → (2)
substitute x = 2 - 2y into (2)
2 - 2y = - 4y + 2 ( add 4y to both sides )
2 + 2y = 2 ( subtract 2 from both sides )
2y = 0 , then
y = 0
100 POINTS
please help !
Answer:
wjwjwjwjuwuwuwuueuejsnsjjdjejejenekjekekeikw
Answer:
do it yourself
Step-by-step explanation:
Stop cheating
chegg This problem has to do with K-Nearest Neighbors classification. Assume that K=1. Suppose that we have a dataset that we split into equally sized training and test subsets. If we get an error rate of 0.06 when averaging the error rate of both subsets, what would we expect the error rate for the training subset to be? You may enter an expression involving the error rate..
Error rate refers to the frequency or proportion of errors made in a particular context or process. It is commonly used in various fields such as statistics, computer science, and quality control.
To find the error rate for the training subset, we can use the fact that the average error rate is 0.06.
Let's denote the error rate for the training subset as E_train. We can express the average error rate as:
average error rate = (error rate for training subset + error rate for test subset) / 2
0.06 = (E_train + error rate for test subset) / 2
Multiplying both sides of the equation by 2, we get:
0.12 = E_train + error rate for test subset
Since K=1, the error rate for the test subset would be 0.12 - E_train.
Therefore, we can expect the error rate for the training subset to be 0.12 - E_train.
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Seven bananas weigh 1 3/4 pounds and are on sale for $3 .How much does Luke pay for 28 bananas?How much do the 28 bananas weigh?Assume each banana weighs about the same.
Answer:
The 28 bananas weigh 7 pounds
Step-by-step explanation:
We can start by figuring out the price per banana by dividing the total price by the number of bananas:
Price per banana = $3 / 7 bananas
Price per banana = $0.43 per banana (rounded to the nearest cent)
Next, we can use the price per banana to find the cost of 28 bananas:
Cost of 28 bananas = 28 bananas x $0.43 per banana
Cost of 28 bananas = $12.04
Therefore, Luke pays $12.04 for 28 bananas.
To find the weight of 28 bananas, we can use the fact that seven bananas weigh 1 3/4 pounds:
Weight of one banana = 1 3/4 pounds / 7 bananas
Weight of one banana = 1/4 pound per banana
Then we can multiply the weight of one banana by 28 to find the total weight of 28 bananas:
Weight of 28 bananas = 1/4 pound per banana x 28 bananas
Weight of 28 bananas = 7 pounds
Therefore, the 28 bananas weigh 7 pounds.
when a has linearly independent columns and a = qr is a qr factorization, then the columns of q form an orthonormal basis for the column space of a.
The given statement exists true. A matrix is broken down into orthogonal (Q) and upper triangular (R) matrices in a process known as QR decomposition (factorization).
What is meant by QR factorization?A matrix can be expressed as the union of two distinct matrices, Q and R, using the QR matrix decomposition. R is a square upper/right triangular matrix and Q is an orthogonal matrix. R is also invertible because it is square and doesn't have zeros in its diagonal entries.
A matrix is broken down into orthogonal (Q) and upper triangular (R) matrices in a process known as QR decomposition (factorization). Finding eigenvalues and solving linear least squares problems both use QR factorization.
A = QR. Be aware that the QR-factorization of a rectangular matrix A is sometimes understood with Q square and R rectangular rather than Q rectangular and R square, as with the MATLAB command qr.
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52
Find the volume of the figure
(2 Points)
24 ft
9 ft
15 ft
12 ft
10 ft
Answer: the volume of the figure is 792 ft³
Step-by-step explanation:
The volume of a shape V consists of the volume of a prism V1 and
the volume of the pyramid V2
9²+12²=15²
81+144=225
225≡225
Hence, figure base is а right triangle
So, V=V1+V2
\(\displaystyle\\V1=\frac{12*9}{2} *10\\\\V1=6(9)(10)\\\\V1=540\ ft^3\\\)
\(\displaystyle\\V2=\frac{1}{3}(\frac{12*9}{2} )(24-10) \\\\V2=\frac{12(9)(14)}{6} \\\\V2=252\ ft^3\)
\(V=540+252\\\\V=792\ ft^3\)
the length of a rectangle is increasing at a rate of 7 cm/s and its width is increasing at a rate of 5 cm/s. when the length is 15 cm and the width is 13 cm, how fast is the area of the rectangle increasing (in cm2/s)?
The area of the rectangle is increasing at a rate of 166 cm^2/s when the length is 15 cm and the width is 13 cm.
To find the rate at which the area of the rectangle is increasing, we need to use the formula for the area of a rectangle, which is A = lw (where A is the area, l is the length, and w is the width).
We can differentiate both sides of the equation with respect to time (t) to obtain:
dA/dt = (dl/dt)w + l(dw/dt)
Here, dl/dt is the rate of change of the length, which is given as 7 cm/s, and dw/dt is the rate of change of the width, which is given as 5 cm/s.
We can substitute these values along with the given values of length and width (l = 15 cm and w = 13 cm) to obtain:
dA/dt = (7 cm/s)(13 cm) + (15 cm)(5 cm/s)
dA/dt = 91 cm^2/s + 75 cm^2/s
dA/dt = 166 cm^2/s
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A square has sides of length 6/12 inches. Area of length times width.
What is the area of the square in square inches?
The area of the square is 1/4inches² in square inches
What is area of squareThe area of a square is calculated by multiplying its two sides, that is area = s × s, where, 's' is one side of the square.
The square has side of length = 6/12
this can be simplified as 1/2
so
area of the square = (1/2 × 1/2) inches ²
area of the square = 1/4inches²
Thus, the area of the square is calculated using area = s × s, as 1/4inches²
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Which category best describes the group of shapes
Answer:
Parallelograms
Step-by-step explanation:
No need for an explanation it is option
Answer:
152
Step-by-step explanation:
Trick question,
4x + 52 + 28 = 180
Then
You subtract 180 and 28 to get 152
Picture has question on it:
The distributive property when rewritten would be : [-18]a + [-17]b
What is distributive property in mathematics?According to the distributive property, it is mandatory to multiply each of the two numbers by the factor before adding them together when a factor is multiplied by the sum or addition of two terms. A (B+ C) = AB + AC is one way to represent this property symbolically.
Sometimes referred to as the distributive law of multiplication and division, the distributive property has two parts.
When we solve out [-18]a + [17]b, we would get the first part of the question which is
-(18a - 17b)
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A pizza lover wants to compare the average delivery times for four local pizza restaurants. Over the course of a few weeks, he orders a number of pizzas from each restaurant, and he records the time it takes for each pizza to be delivered.
a) When performing an ANOVA with this data, what is the alternative hypothesis?
- All of the restaurants have different mean delivery times
- At least two of the restaurants have different mean delivery times
- Two of the restaurants have different mean delivery times
- One of the restaurants has a different mean delivery time than the others
b) A partial ANOVA table for his data is shown below. What is the value of B?
Source DF SS MS F P-value
Treatment B 19.31 D F G
Error C 15.667 E
Total 18 34.977
What is the value of C in the ANOVA table?
d) What is the value of D in the ANOVA table? Give your answer to three decimal places.
e) What is the value of E in the ANOVA table? Give your answer to three decimal places.
f) What is the value of F in the ANOVA table? Give your answer to two decimal places.
g) What is the value of G in the ANOVA table? Give your answer to four decimal places.
h) Using a 0.1 level of significance, what should his conclusion be in this case?
- He should conclude that at least two of the restaurants have different mean delivery times because the P-value is less than 0.1.
- He should fail to reject the claim that at all of the restaurants have the same mean delivery times because the P-value is greater than 0.1.
- He should conclude that at least two of the restaurants have different mean delivery times because the P-value is greater than 0.1.
- He should conclude that at all of the restaurants have the same mean delivery times because the P- value is less than 0.1.
(a) When performing an ANOVA with the data the alternative hypothesis is at least two of the restaurants have different mean delivery times.
(b)75.8
Analysis of variance. or ANOVA, is a statistical method that separate observed variance data into different components to use for additional tests. A one way ANOVA is used for three or more groups of data, to gain information about the relationship between the dependent and independent variables.
The ANOVA table shows how the sum of squares are distributed according to source of variation, and hence the mean sum of squares.
It is given that a pizza lover wants to compare the average delivery times.
Therefore the null hypothesis and alternate hypothesis implies that,
H₀ = all restaurants have equal mean delivery time
Hₐ = at least two restaurants have different two deliveries
Hence the alternate hypothesis for performing an ANOVA with the data is at least two of the restaurants have different mean delivery times.
The alternate hypothesis (Hₐ) defines that there is a statistically important relationship between two variables. Whereas null hypothesis states that is no statistical relationship between the two variables.
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