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Let E be the solid that lies under the plane z = 4x + y and above the region in the xy-plane 2 enclosed by y = x = 2, and y = 2x. Then, the volume of the solid E is equal to 37 12 Select one: True / False

Answer:

4^3 x 5^2

Step-by-step explanation:

Answer:

7 times a to the fourth power

Yes, it is possible to have a function f defined on [2, 3] that meets the given conditions. To satisfy the condition of not being continuous on [2, 3], we can create a function with a removable discontinuity at a specific point.

One way to achieve this is by defining f(x) as a piecewise function. We can let f(x) be equal to a constant value c for x in [2, a) and [a, 3], where a is a value between 2 and 3. This will create a hole in the graph of the function at x = a, resulting in a removable discontinuity.

To ensure that f takes on both a maximum and minimum value, we can choose different constant values for f(x) in the intervals [2, a) and [a, 3]. For example, we can let f(x) be a high value like 100 in [2, a) and a low value like -100 in [a, 3]. This way, f(x) will have a maximum value of 100 and a minimum value of -100.

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Answer:

its B

Step-by-step explanation:

just took unit test edg 2020

The statement : r → (p ∧ q), r → (p ∨ q)  and (q ∧ r) → p are true for rows A,C and E.

Truth Table is used to perform logical operations. These operations comprise boolean algebra or boolean functions. It is basically used to check whether the propositional expression is true or false, as per the input values. This is based on boolean algebra.

Some examples of binary operations are AND, OR, NOR, XOR, XNOR, etc. We will learn all the operations here with their respective truth-table.

According to the question

r → (p ∧ q) : for row A : True

For row C : True, for row E: True

r → (p ∨ q) : for row A : True

for row C : True, for row E : True

(q ∧ r) → p : for row A : True

For row C : false, for row E : True

(q ∨ r)  → p :  for row A : True

For row C : True, for row E : True

So the statement : r → (p ∧ q), r → (p ∨ q)  and (q ∧ r) → p are true for rows A,C and E.

For p → q, only when p is false and p is true, the statement is false and invalid.

Hence,  the statement : r → (p ∧ q), r → (p ∨ q)  and (q ∧ r) → p are true for rows A,C and E.

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Answer:

Step-by-step explanation:

The given relation is { (2,7),(26,-6),(33,7),(2,10),(52,10) }The domain of a relation is the set of all x-coordinates of the ordered pairs (x, y) of the relation.The range of a relation is the set of all y-coordinates of the ordered pairs (x, y) of the relation.

A relation is called a function if each element of the domain corresponds to exactly one element of the range, i.e. if no two ordered pairs in the relation have the same first component. There are two ordered pairs (2,7) and (2,10) with the same first component. Hence the given relation is not a function.

Domain of the given relation:Domain is set of all x-coordinates. In the given relation, the x-coordinates are 2, 26, 33, and 52. Therefore, the domain of the given relation is { 2, 26, 33, 52 }.

Range of the given relation:Range is the set of all y-coordinates. In the given relation, the y-coordinates are 7, -6, and 10. Therefore, the range of the given relation is { -6, 7, 10 }.

The domain of the given relation is { 2, 26, 33, 52 } and the range is { -6, 7, 10 }.The given relation is not a function because there are two ordered pairs (2,7) and (2,10) with the same first component.

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Answer:

Well, there are 4 quadratic spots on the graph. A(1,3) would be in the top right. B(0,-3) would be on the line on the bottom half of the graph. C(-4,-2) would be in the left bottom half of the graph. and D(-11/4,2) would be in the top right. Connect the dots and just say the shape it makes.

Step-by-step explanation:

Answer:

the answer would be p= -4

13-3p = -5(3+2p)

13-3p = -15-10p

13 = -15-7p

28 = -7p

p = -4

The value of the third expression \(\rm \dfrac{45}{n} + 7\) for n = 5 is 16 which is equivalent to 16.

The equivalent is the functions that are in different forms but are equal to the same value.

Given

The expressions are shown below.

\(\rm 1. \ \dfrac{25}{n} + 7\\\\2. \ 30 -3n\\\\3. \ 7+ \dfrac{45}{n}\\\\4. \ n^3 - 114\)

The expression is equivalent to 16 for n = 5.

1. For n = 5, the expression will be

\(\rm \dfrac{25}{n} + 7\\\\ \dfrac{25}{5} + 7\\\\5 + 7 \\12\)

The expression is not equivalent to 16.

2. For n = 5, the expression will be

\(\rm 30 - 3n\\30 - 3 * 5 \\30 - 15\\15\)

The expression is not equivalent to 16.

3. For n = 5, the expression will be

\(\rm \dfrac{45}{n} + 7\\\\ \dfrac{45}{5} + 7\\\\9 + 7 \\16\)

The expression is equivalent to 16.

4. For n = 5, the expression will be

\(\rm n^3 - 114 \\\\5^3 - 114 \\\\125 -114\\\\11\)

The expression is not equivalent to 16.

Thus, the third expression is equivalent to the 16.

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Answer:

The answer is C, \(7+\frac{45}{n}\)

Step-by-step explanation:

1. if n=5 then the expression would be rewritten as  \(7 + \frac{45}{5}\)

2. 45 divide 5 is 9.

Answer:

gradient = - \(\frac{1}{4}\)

Step-by-step explanation:

Calculate the gradient m using the gradient formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (3, 1) ← 2 points on the line

m = \(\frac{1-2}{3-(-1)}\) = \(\frac{-1}{3+1}\) = - \(\frac{1}{4}\)

Here are the solutions for the given differential equations:

y'' + y = e³x Solution:

Characteristic equation is given by r² + 1 = 0 => r = ± i

So, the general solution is given by (x) = Acosx + Bsin.x + e³x ……(1)y'' + y - 2y = sin²x Solution:

Characteristic equation is given by r² + r - 2 = 0 => r = - 1, 2

So, the general solution is given by (x) = c₁e-x + c₂e2x + Asin²x ……(2) Putting the value of y(x) in equation (2),

we getAc² + c₂A = 1 [Comparing with sin²x]y(0)

= c₁ + c₂ + A = 0 [Putting x = 0]y'(x)

= - c₁e-x + 2c₂e2x + 2Asinxcosx [Differentiating w.r.t x]At x = 0, y'(0) = - c₁ + 2c₂ = 0 [Putting x = 0]

Solving the above equations, we getc₁ = 2/3, c₂ = 1/6 and A = - 5/6

Solution: Characteristic equation is given by r² + 4 = 0 => r = ± 2i

So, the general solution is given by (x) = Acos(2x) + Bsin(2x) ……(4)

Putting the value of y(x) in equation (4), we get A = 3/4 and B = 0

Therefore, the particular solution is given by (x) = 3/4 cos(2x) ……(5)

Hence, the solutions of the given differential equations are as follows:

y(x) = Acosx + Bsin.x + e³xy(x)

= 2/3 e-x + 1/6 e2x - 5/6 sin²xy(x)

= 3/4 cos(2x)

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Answer:

pi for 30+9348 is 89 then you give 60 a go for that 78

Step-by-step explanation: not to be 820

Answer:

\(\frac{2}{3}\)

Step-by-step explanation:

Given Equation of line: y=mx+c,

where m = slope of line.

So, we will have to make y the subject to find the slope.

\(2x-3y=19\\2x-3y-2x=19-2x\\-3y=-2x+19\\y=\frac{-2x+19}{-3} \\y=\frac{2}{3} x-\frac{19}{3}\)

From here, we can see the slope of the line is \(\frac{2}{3}\).

Answer: 2/3

Step-by-step explanation:

2x-3y=19

minus 2x from both sides

-3y=-2x+19

divide both sides by -3

y=2/3x-19/3

slope is 2/3

The ratio of their volumes is,

⇒ 125: 8.

We have to give that,

The ratio of surface areas of two similar right cylinders is 25 to 4.

Consider r and R as the radii of two spheres.

Hence,

4πr²/ 4πR² = 25/4

(r/R)² = (5/2)²

(r/R) = 5/2

Consider V₁ and V₂ as the volumes of the spheres So we get;

V₁/V₂ = (4/3πr³)/ (4/3πR³)

(r/R)³ = (5/2)³ = 125/8

Therefore, the ratio of their volumes is 125: 8.

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In a binomial distribution, the number of ways of arranging all trials to be failures is 1. This means that there is only one way to have all trials result in failures, as each trial can only have one possible outcome - a failure.

1. In a binomial distribution, each trial can result in either a success or a failure. Let's assume that there are n trials in total.

2. To arrange all trials to be failures, we need to ensure that no trial results in a success. Therefore, for each trial, there is only one possible outcome - a failure.

3. The number of ways of arranging all trials to be failures can be calculated using combinations. In this case, we need to select 0 successes from n trials. The number of ways to do this is given by the combination formula: C(n, 0) = 1, where C represents the combination.

Therefore, the number of ways of arranging all trials to be failures in a binomial distribution is given by the combination formula, C(n, k) = n! / (k! * (n-k)!).

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The number of ways of arranging all trials to be failures in a binomial distribution is always 1. This is because there is only one way to have no successes in a set of trials.

Regardless of the number of trials or the probability of success, the number of ways of arranging all trials to be failures in a binomial distribution is always 1.

The number of ways of arranging all trials to be failures in a binomial distribution can be determined using the formula for the binomial coefficient.
The binomial coefficient, often denoted as nCk or n choose k, represents the number of ways to choose k items from a set of n items, without considering their order. In the context of a binomial distribution, n represents the total number of trials and k represents the number of successes (in this case, 0).
To find the number of ways of arranging all trials to be failures, we can use the binomial coefficient formula:
nCk = n! / (k!(n-k)!)
In this case, since we want all trials to be failures, k is equal to 0. Thus, the formula simplifies to:
nC0 = n! / (0!(n-0)!) = n! / (0! * n!) = 1

For example, if we have 5 trials and we want all of them to be failures, there is only one possible arrangement: FFFFF, where F represents a failure.

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Answer:

wrong

Step-by-step explanation:

10 /5 = 2

5/10 = 0.5

Answer:

Step-by-step explanation:

1) Let width = x

One side of the rectangle is covered by river. So only, 3 sides to be covered.

length = 100 - ( x + x) = 100 - 2x

Area of rectangle = length *width

                              =  (100 - 2x)*x

f(x) = 100x - 2x^{2}

\(2)f(x) =2x+1\\\\f(1.5)=2*1.5+1=3+1=4\\\\3)g(x)=x^{2}-2x+2\\\\g(1.5)=1.5^{2}-2*1.5+2\\\\=2.25-3+2\\\\=1.25\\\\4)g(x)=\sqrt{x+1}\\\\g(1.5)=\sqrt{1.5+1}=\sqrt{2.5}=1.58\\\\5)r(x)=\dfrac{2x+1}{x-1}\\\\r(1.5)=\dfrac{2*1.5+1}{1.5-1}\\\\=\dfrac{3+1}{0.5}\\\\=\dfrac{4}{0.5}\\\\=\dfrac{4*10}{0.5*10}\\\\=\dfrac{40}{5}\\\\=8\)

Answer:

The answer is b

Step-by-step explanation:

By applying Fundamental counting principle, it can be concluded that there are 2560 different shoe combinations that can be created.

Fundamental counting principle states that if the first event can be done in k₁ different ways, the second event can be done in k₂ different ways, and so on until the \(n^{th}\) event, then the number of different ways of all these events is K, where:

K = k₁ x k₂x . . . x kₙ

The following table shows the design components and how many options Lamar has for each:

Design component      Number of options

   Primary color                        8

 Secondary color                     8

      Sole color                           8

      Lace color                          5

Then we can calculate the number of different combinations that can be created as follows:

Number of combinations = number of option₁ x number of option₂ x

                                             number of option₃ x number of option₄

                                          = 8 x 8 x 8 x 5

                                          = 2560

Thus there are 2560 different shoe combinations that can be created.

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Answer:

The smaller integer is -4 and the larger integer is 7. To solve this problem, we can use a system of equations. Let x represent the smaller integer and y represent the larger integer. We can then set up two equations, one for the sum of the integers and one for the sum of their squares:

x + y = 3

x2 + y2 = 29

Solving these equations gives us:

x = -4

y = 7

Answer:

48units

Step-by-step explanation:

Find the diagram of the rhombus attached

From the diagram, LM = MN

Hence;

3x - 3 = x + 7

Find x

Add 3 to both sides

3x - 3 + 3 = x + 7 + 3

3x = x + 10

3x - x = 10

2x = 10

x = 10/2

x = 5

LM= 3x - 3

LM = 3(5) - 3

LM = 12

Since LM = MN, then MN = 12

Since all the sides of the rhombus are equal then;

Perimeter of the rhombus = LM + MN + NO + OL

Perimeter of the rhombus = 12 + 12 +1 2 + 12

Perimeter of the rhombus = 48units

Answer:

48 Units is the answer

Step-by-step explanation:

EDGE2021

The option that shows that the derivative of a function as well as its intervals is decreasing is option C (Image attached).

A derivative is known to be a tool that help us to know the altering relationship that between two variables. The derivative formula is known to be ddx. xn=n.

Note that:

F¹(x) =  e^sinx - cosx - 1

Set:

F¹(x) > 0

e^sinx  > cosx - 1

0.633 < x < 4.155  and 6,916 < x < 9

So, if you look at the equation, the option that fits into the equation is option c:

Therefore, The option that shows that the derivative of a function as well as its intervals is decreasing is option C (Image attached).

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Most correlational studies use d)relative data, which compares two variables.

This means that one variable is being measured against another, often in the form of ratios or percentages. For example, one might compare the number of people who smoke cigarettes with the number of people who develop lung cancer, in order to determine whether there is a correlation between the two.

Relative data allows researchers to examine the relationship between variables, allowing them to assess the strength of the relationship between them.

In order to compare variables, correlational studies rely on either primary or secondary data. Primary data is collected through direct observation and experimentation, while secondary data is obtained from existing sources.

In most cases, correlational studies use secondary data, such as survey results or statistics from public databases. This data is often in the form of relative data, such as percentages or ratios.

By using relative data, correlational studies can determine the strength of the relationship between two variables. This information can be used to better understand how the variables are related, as well as to draw conclusions about their relationship. For example, the relationship between smoking and lung cancer can be examined using relative data, allowing researchers to identify patterns and draw conclusions about the correlation between the two variables.

Hence Option D is correct.

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Answer:

A

Step-by-step explanation:

-7-(3)/4-(-1)=-10/5 which is -2

Use the slope formula y2-y1/x2-x1 to solve

Answer:

yes

Step-by-step explanation:

2 bases 3 rectangles, folds properly.

sorry, you took space in my question place just to get points for it and i think it's only fair if i do so back :) i hope you don't do this to other people though because it's really frustrating to not get your question answered and just write random stuff ^^ have a great day.

Answer:

The answer is in the attachment.

Step-by-step explanation:

When you write y = -2 as an equation, there are many examples, like:

y + 4 = 2

2y = -4 and many more.