4) In the graph below, what is f(2)?
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Susan has more candy in weight compared to Isabel.

To compare the candy weights between Susan and Isabel, we need to ensure that both weights are in the same unit of measurement. Let's convert Isabel's candy weight to ounces for a fair comparison.

Given:

Susan: 4 bags x 6 ounces/bag = 24 ounces

Isabel: 1 bag x 16 ounces/pound = 16 ounces

Now that both weights are in ounces, we can see that Susan has 24 ounces of candy, while Isabel has 16 ounces of candy. As a result, Susan is heavier on the candy scale than Isabel.

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It looks like you have

tan²(x) / (1 - tan(x)) + cot(x) / (1 - tan(x)) = cot(x) + tan(x) + 1

but this is not an identity.

Take for instance x = 3π/4. Then

tan(3π/4) = -1

cot(3π/4) = -1

so that

tan²(x) / (1 - tan(x)) + cot(x) / (1 - tan(x)) = 0

while

cot(x) + tan(x) + 1 = -1

and of course 0 ≠ -1.

Answer:

srgsghsgsg

Step-by-step explanation:

The 18th term of the arithmetic sequence -13, -9, -5, -1, 3,... is 55. Thus, the right answer is option A. which is A(18) = 55

Arithmetic Progression is a sequence of numbers in which the difference between two numbers in the series is a fixed definite value.

The specific number in the arithmetic progression is calculated by

\(a_n=a_1+(n-1)d\)

where \(a_n\) is the term in arithmetic progression at the nth term

\(a_1\) is the initial term in the arithmetic progression

d is the difference between two consecutive terms

In the given question, \(a_1\) = -13

d = -9 - (-13) = 4

Therefore, to calculate the 18th term,

\(a_{13}=a_1+(18-1)d\)

= -13 + (17) 4

= -13 + 68

= 55

Hence, the 18th term of the above AP is 55

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a. The matrices whose entries are all greater than or equal to 0: Yes, it is a subspace.

b. The matrices with trace (the sum of diagonal entries): No, it is not a subspace.

c. The matrices with all zeros in the third row: Yes, it is a subspace.

d. The matrices of rank 3: No, it is not a subspace.

e. The non-invertible matrices: No, it is not a subspace.

f. The matrices such that the vector [1, 2, 3] is in the kernel: Yes, it is a subspace.

What is matrix?

A matrix is a rectangular array of numbers or elements arranged in rows and columns. It is a fundamental concept in linear algebra and has various applications in mathematics, science, engineering, and computer science.

Let's analyze each subset and determine whether they are subspaces of the set of matrices.

a. The matrices whose entries are all greater than or equal to 0:

This subset is a subspace of the set of matrices since it satisfies the three conditions for being a subspace: closure under addition, closure under scalar multiplication, and containing the zero vector.

b. The matrices with trace (the sum of diagonal entries):

This subset is not a subspace of the set of matrices because it does not satisfy closure under scalar multiplication. Multiplying a matrix by a scalar will change the diagonal entries and, thus, the trace.

c. The matrices with all zeros in the third row:

This subset is a subspace of the set of matrices since it satisfies the three conditions for being a subspace: closure under addition, closure under scalar multiplication, and containing the zero vector.

d. The matrices of rank 3:

This subset is not a subspace of the set of matrices because it does not satisfy closure under addition. Adding two matrices of rank 3 may result in a matrix with a rank less than 3.

e. The non-invertible matrices:

This subset is not a subspace of the set of matrices because it does not satisfy closure under scalar multiplication. Multiplying a non-invertible matrix by a non-zero scalar will result in a matrix that may be invertible.

f. The matrices such that the vector [1, 2, 3] is in the kernel:

This subset is a subspace of the set of matrices since it satisfies the three conditions for being a subspace: closure under addition, closure under scalar multiplication, and containing the zero vector (which makes the vector [1, 2, 3] in the kernel).

In summary:

a. Yes, it is a subspace.

b. No, it is not a subspace.

c. Yes, it is a subspace.

d. No, it is not a subspace.

e. No, it is not a subspace.

f. Yes, it is a subspace.

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Answer:

Step-by-step explanation:

You want to identify the true statements regarding angles at a transversal crossing parallel lines, and perpendicular bisectors.

The Corresponding Angles theorem tells you that corresponding angles are congruent where a transversal crosses parallel lines. Since vertical angles are congruent, and angles congruent to the same angle are congruent to each other, this also means that alternate interior angles are congruent.

A bisector of a segment passes through its midpoint, a point that is equidistant from the end points. When the bisector is perpendicular to the segment, all points on the perpendicular bisector are equidistant from the segment's endpoints.

The term for placing concertina wire on top of a pre-existing fence is called "topping" or "topping with concertina wire."

Topping is a common security measure used to enhance the deterrent value and effectiveness of a fence by adding a layer of concertina wire or barbed wire on its top.

The concertina wire consists of sharp, barbed or razor wire coils that are attached to the fence at regular intervals.

This additional layer of security helps to prevent unauthorized entry or climbing over the fence, providing an additional physical barrier and discouraging potential intruders.

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Answer:

0 is the answer..(•‿•)(. (•‿•)(•‿•)(•‿•)

Answer:

They're not promise

Step-by-step explanation:

I did it on the calculator

I hope this helps youuu

Have a good day <3

the volume of the region in the first octant bounded by the cylinder z=1−y^2, between x+y=1, and x+y=3, is 1/6 cubic units.

To find the volume of the region in the first octant bounded by the cylinder z=1−y^2, between x+y=1, and x+y=3, we can use a double integral.

First, we need to find the limits of integration for x, y, and z. The region is bounded by the planes x+y=1 and x+y=3, so the limits of integration for y are y=0 to y=1-x and y=0 to y=3-x. Since the region is in the first octant, the limits of integration for x are x=0 to x=1 and x=1 to x=2. The limits of integration for z are z=0 to z=1-y^2.

Therefore, the volume of the region is given by the double integral:

V = ∫∫R (1-y^2) dA

where R is the region in the xy-plane bounded by x+y=1 and x+y=3.

We can set up the double integral as follows:

V = ∫0^1 ∫0^(1-x) (1-y^2) dy dx + ∫1^2 ∫0^(3-x) (1-y^2) dy dx

Integrating with respect to y first, we get:

V = ∫0^1 [(y-y^3/3) from y=0 to y=1-x] dx + ∫1^2 [(y-y^3/3) from y=0 to y=3-x] dx

Simplifying, we get:

V = ∫0^1 (2/3-x-x^3/3) dx + ∫1^2 (8/3-x-x^3/3) dx

Integrating, we get:

V = [(2x/3-x^2/2-x^4/12) from x=0 to x=1] + [(8x/3-x^2/2-x^4/12) from x=1 to x=2]

Simplifying, we get:

V = 8/3 - 5/4 - 16/3 + 15/4

V = 1/6

Therefore, the volume of the region in the first octant bounded by the cylinder z=1−y^2, between x+y=1, and x+y=3, is 1/6 cubic units.
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Answer:

42

Step-by-step explanation:

Given:-

The Sum of the Digit of a Two Digit number is 6.

On reversing, the number is 18 less than the original number.

To Find:-

The original Number.

Let the Ones digit be "x"

ten's digit be = (6 - x)

Original Number = x + 10(6 - x) = 60 - 9x

Now, Atq.

One's Digit = (6 - x)

Ten's digit = x

New Number = 10 × x + (6 - x) = 9x + 6.

So,

(New Number) - (Original Number) = 18

(9x + 6 ) - (60- 9x) = 18

9x + 6 - 60 + 9x = 18

18x - 54 = 18

18x = 18 + 54.

18x = 72

x = 72/18

x = 4.

Therefore,

One's Digit = x = 4

Ten's digit = 6 - x = 2

Original Number = 42

It is not of exponential order for h(t) = et2. F is of exponential order and has order. F is piecewise continuous. No function's Laplace transform is possible. g(t) = eat, where t [0,.

Non-exponential form:

To represent a scientifically notated number as a non-exponential quantity: • Remove the exponential component of the number by moving the decimal point the same number of places as the exponent's value. The decimal is moved to the right by the same number if the exponent is positive.

Here are a few instances of functions other than exponential ones. y = 3 1 x as a result. n = 0 3 p as a result. Because y = ( 4) x. Since b = 1, y = 6 0 x.

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Answer:

\(\frac{7}{15}\)

Step-by-step explanation:

Given

\(\frac{16-4(5)}{2(6)+8}\) + \(\frac{2}{3}\)

= \(\frac{16-20}{12+8}\) + \(\frac{2}{3}\)

= \(\frac{-4}{20}\) + \(\frac{2}{3}\)

= - \(\frac{1}{5}\) + \(\frac{2}{3}\)

We require the fractions to have a common denominator of 15

Multiply the numerator/ denominator of - \(\frac{1}{5}\) by 3 and

Multiply the numerator/ denominator of \(\frac{2}{3}\) by 5

= - \(\frac{3}{15}\) + \(\frac{10}{15}\)

= \(\frac{7}{15}\)

The equation of the regression line for the given data can be determined by performing linear regression analysis.

The regression line represents the best-fit straight line that describes the relationship between the independent variable (number of years studied) and the dependent variable (proficiency exam grades). The equation of the regression line can be expressed as y = a + bx, where y is the predicted value of the dependent variable, x is the independent variable, a is the y-intercept, and b is the slope of the line.

To find the equation of the regression line, we first need to calculate the slope and y-intercept using the given data. We can use statistical software or a calculator to perform the regression analysis and obtain the values of a and b. Once we have these values, we can plug them into the equation of the regression line to get the final equation.

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The odds ratio of earning an A for seniors vs. sophomores is 1.36. To calculate the odds ratio, we first need to find the odds of earning an A for each group.

For seniors: - The proportion of seniors earning an A is 21% or 0.21. - The odds of earning an A for seniors is 0.21 / (1 - 0.21) = 0.266
For sophomores:
- The proportion of sophomores earning an A is 16% or 0.16.
- The odds of earning an A for sophomores is 0.16 / (1 - 0.16) = 0.190
Next, we calculate the odds ratio:
- Odds ratio = (odds of seniors earning an A) / (odds of sophomores earning an A)
- Odds ratio = 0.266 / 0.190 = 1.400
Rounding to two decimal places, the odds ratio is 1.36.
To calculate the odds ratio of earning an A for seniors vs. sophomores in a regression course, follow these steps:
Step 1: Find the odds of earning an A for each group.
- Seniors: Historically, 21% earn an A, so the odds for seniors is 0.21 / (1 - 0.21) = 0.21 / 0.79 ≈ 0.266
- Sophomores: Historically, 16% earn an A, so the odds for sophomores is 0.16 / (1 - 0.16) = 0.16 / 0.84 ≈ 0.190
Step 2: Calculate the odds ratio by dividing the odds for seniors by the odds for sophomores.
Odds ratio = Odds for seniors / Odds for sophomores ≈ 0.266 / 0.190 ≈ 1.40
Therefore, the odds ratio of earning an A for seniors vs. sophomores is approximately 1.40 when rounded to 0.01.

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Answer:

36

Step-by-step explanation:

7 + 8 × 4 - 6 / 2

7 + 32 - 3

= 36

Number of bowls that Laura can make with 10lbs of clay is 16

To find out how many bowls Laura can make, we need to divide the amount of clay she has by the amount of clay needed to make one bowl.

Let's start by converting the fraction 3/5 into a decimal:

3/5 = 0.6

This means that Laura needs 0.6 lbs of clay to make one bowl.

Now we can divide the total amount of clay Laura has by the amount of clay needed for one bowl:

10 ÷ 0.6 = 16.67

Laura can make 16 complete bowls with 10 lbs of clay, and she will have some clay left over (0.07 lbs to be exact) that is not enough to make another full bowl.

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Answer:

P = 2x + 24

Step-by-step explanation:

P = 2(l + w)

P = 2(7 + x + 5)

P = 2(x + 12)

P = 2x + 24

Answer:

1) 7x-2+5x-10=180

2)16x-2-10=180

3)16x - 12 = 180

16x=192

x=12

Each section of the road is 1/8 mile long.

We have,

If the distance from the school to the library is 2/4 miles, then it means the total distance is 2/4 miles long.

To find out the length of each section of the road, we need to divide the total distance by the number of sections, which is 4.

So,

Dividing 2/4 by 4.

= (2/4) ÷ 4

= (2/4) × (1/4)

= 1/8

Therefore,

Each section of the road is 1/8 mile long.

We got this by dividing the total distance by the number of sections.

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Answer: 3 Hours

Step-by-step explanation:

Daniel first paid for her bike, which was 20 dollars. Then she used it for 3 hours, because 20 dollars+5 dollars+5 dollars+5 dollars equals 35 dollars.

Hope this helps!

Answer:

b=133 and c=47

Step-by-step explanation:

b+47=180

b=180-47=133

b=133

and

c=b+133=180

c=180-133=47

c=47

The LU factorization of matrix A is A = LU, where L = [[1, 0, 0], [-2, 1, 0], [1.5, -3, 1]] and U = [[4, -8, 10], [0, 24, -27], [0, 0, -12.5]].

Let's go step by step to find the LU factorization of matrix A.

Matrix A:

A =

[4, -8, 10]

[-8, 8, -7]

[6, -7, 3]

Step 1:

Initialize the L matrix as an identity matrix of the same size as A.

L =

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

Step 2:

Perform Gaussian elimination to obtain U.

- Multiply the first row of A by (1/4) and replace the first row of A with the result.

A =

[1, -2, 2.5]

[-8, 8, -7]

[6, -7, 3]

- Subtract 8 times the first row of A from the second row of A and replace the second row of A with the result.

A =

[1, -2, 2.5]

[0, 24, -27]

[6, -7, 3]

- Subtract 6 times the first row of A from the third row of A and replace the third row of A with the result.

A =

[1, -2, 2.5]

[0, 24, -27]

[0, 5, -12.5]

Step 3:

Update the L matrix based on the operations performed during Gaussian elimination.

L =

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

Step 4:

The resulting matrix A is the upper triangular matrix U.

U =

[1, -2, 2.5]

[0, 24, -27]

[0, 5, -12.5]

Therefore, the LU factorization of matrix A is:

L =

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

U =

[1, -2, 2.5]

[0, 24, -27]

[0, 5, -12.5]

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In line 17, "summons" most nearly means calls forth.

What happens when you get summoned?

Can summons be Cancelled?

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Given function is x²y - 2x² - 8 = 0

The function is implicit because y is not isolated, and it is present in the function. To differentiate implicitly to find dy/dx, we use the following steps:

First, we take the derivative of both sides of the equation with respect to x

The derivative of the left side: d/dx(x²y) = 2xy + x²(dy/dx)The derivative of the right side:

d/dx(-2x² - 8) = -4x

We then simplify the equation as follows:2xy + x²(dy/dx) = 4xTo find dy/dx, we need to isolate it by bringing all the y terms to one side and factorizing it:

2xy + x²(dy/dx) = 4x2xy = -x²(dy/dx) + 4x2y = x(4 - y(dy/dx))(dy/dx) = (x(4 - 2y))/x²dy/dx = (4 - 2y)/x

We can now use the value of x and y coordinates given to find the slope of the curve at the point

(2, 4)dy/dx = (4 - 2y)/x = (4 - 2(4))/2 = -2

Therefore, the slope of the curve at the point (2, 4) is -2.

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Answer:

where is your Question??????

If the skill builder has a total of 40 questions, and the maximum percent grade is 100%, we can use a rule of three to determine the relation between the percent grade y and the number of correct answers x:

So the equation is y = 2.5x + 0.

(Each correct answer is worth 2.5% of the grade)

Answer:

n = 17-13

Step-by-step explanation:

n+13=17

Subtract 13 from each side

n+13-13 = 17-13

n = 17-13

Answer:

z=16

Step-by-step explanation:

I was finding the variable by the way