The area of this rectangle is 30 m2 Which is the perimeter of the rectangle? A. 3 m B. 13 in C. 20 in D. 26 in E, 30 in

Answer:

To get the population of the bacteria at a time t, we just plug in the given value of t

so in this case, we will put 5 in the place of t

f(t) = \(e^{t}\)

f(5) = \(e^{5}\)

we know that the value of e is about 2.7. So the population of the bacteria after 5 hours will be 2.7 to the power 5

which will be equal to:

b) 148.413

note: using 2.7 in the calculation will give slightly different answer since it is an estimated value, i suggest using 'e' in the actual calculation

The domain and range of function p for the intervals (0, 14) and (0, 80) respectively.

The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.

We have been given a graph that has Function p representing the number of people in the library on a Monday as a function of hours since the library opened.

Based on the graph and the situation, the required solution would be as:

The domain at intervals (0, 14) and range at intervals (0, 80) for function p.

Learn more about the domain and the range here:

brainly.com/question/21027387

#SPJ1

Answer:

d i think

Step-by-step explanation:

Answer:

\(p=\frac{d}{2}+4x\)

Step-by-step explanation:

In this case because we have an absolute value we have two cases

Therefore the number line that represents the solution set is

Answer:

There is only 1 solution

\((x,y) = (1,4)\)

Step-by-step explanation:

Given

Lines A and B

Required

The number of solution for a pair of A and B

From the graph, lines A and B have only one point of intersection.

This point of intersection represents the solution

Since, there is only 1 point, there is only one solution.

And the solution is:

\((x,y) = (1,4)\)

According to the angle sum property, the measure of the missing angle is, 3°

Angle sum property

Basically, the angle sum property of a triangle states that the sum of interior angles of a triangle is 180°.

Given,

Here we have the two connected triangle.

Now, we have to find the missing angle of the triangle.

Let us consider x be the missing angle of the triangle.

Then according to the angle sum property it can be calculated as,

=> 39° + 89° + x = 180°

=> 128° + x = 180°

=> x = 52°

So, now we have to calculated the required angle y as,

=> 52° + 125° + y = 180°

=> 177° + y = 180°

=> y = 3°

Therefore, the missing angle is 3°.

To know more about Angle sum property here.

https://brainly.com/question/4316040

#SPJ1

Answer:

constant is - 19

Step-by-step explanation:

the constant is the term in an expression with no variable attached to it.

12r + \(\frac{r}{2}\) - 19

the only term without the variable r attached to it is - 19

then the constant term is - 19

Answer:

S₂₇ = 1188

Step-by-step explanation:

using the given formula for \(S_{n}\) , that is

\(S_{n}\) = \(\frac{n}{2}\) (a₁ + \(a_{n}\) )

with a₁ = 5 and \(a_{n}\) = a₂₇ = 83 , then

S₂₇ = \(\frac{27}{2}\) (5 + 83) = 13.5 × 88 = 1188

By combination and permutation, 28 different tests are required for every possible test of 2 wires.

What are permutation and combination?

In mathematics, there are two alternative methods for dividing up a collection of components into subsets: combination and permutation. The components of the subset may be arranged in any order when combined.

                            The subset's components are listed in a permutation in a certain order. Combinations are a mathematical method for calculating the number of alternative arrangements in a collection of objects when the order of the selection is irrelevant. You are free to choose any combination of the things.

Here we are chossing two different wires out of 2. ie its a distinct combination of two different wires out of 8 wires = 8C2

     C(n,r ) = C(8 , 2)

             = 8!/2! (8- 2)!

              = 8!/2! * 6!

               = 28

Learn more about combination and permutation

brainly.com/question/13387529

#SPJ1

Answer:

  4 minutes

Step-by-step explanation:

You want to know how long it takes to drain a cylindrical tank 1.8 ft in diameter and 3 ft long at the rate of 1.7 ft³/minute. (π = 3.14)

The volume of a cylinder can be found using the formula ...

  V = (π/4)d²h . . . . . . . diameter d, height h

Then the volume of the oil tank is ...

  V = 3.14/4(1.8 ft)²(3 fft) = 7.6302 ft³

The time it takes to empty the tank is found by dividing the volume by the rate:

  (7.6302 ft³)/(1.7 ft³/min) ≈ 4.49 min ≈ 4 min

It will take about 4 minutes to empty the tank.

<95141404393>

Answer: recantagle

Step-by-step explanation:

Answer:

4/15

Step-by-step explanation:

Answer:

2/5 * 2/3= 4/15, cannot be simplified.

Step-by-step explanation:

Multiply the numerators, 2*2

Denominators 5*3

Answer:

61

Step-by-step explanation:

aₙ = a₁ + (n - 1)d

aₙ = 4 + (20 - 1)3

aₙ = 4 + (19)3

aₙ = 4 + 57

aₙ = 61

If Q is an orthogonal matrix with an eigenvalue λ1 = 1, then x, the eigenvector corresponding to λ1, is also an eigenvector of QT with an eigenvalue λ2 = λ1 * (QT * x).

To show that x is also an eigenvector of QT, we need to demonstrate that QT * x is a scalar multiple of x.

Given that Q is an orthogonal matrix, we know that QT * Q = I, where I is the identity matrix. This implies that Q * QT = I as well.

Let's denote x as the eigenvector corresponding to the eigenvalue λ1 This means that Q * x = λ1 * x.

Now, let's consider QT * x. We can multiply both sides of the equation Q * x = λ1 * x by QT:

QT * (Q * x) = QT * (λ1 * x)

Applying the associative property of matrix multiplication, we have:

(QT * Q) * x = λ1 * (QT * x)

Using the fact that Q * QT = I, we can simplify further:

I * x = λ1 * (QT * x)

Since I * x equals x, we have:

x = λ1 * (QT * x)

Now, notice that λ1 * (QT * x) is a scalar multiple of x, where the scalar is λ1. Therefore, we can rewrite the equation as:

x = λ2 * x

where λ2 = λ1 * (QT * x).

This shows that x is indeed an eigenvector of QT, with the eigenvalue λ2 = λ1 * (QT * x).

In conclusion, if Q is an orthogonal matrix with an eigenvalue λ1 = 1, then x, the eigenvector corresponding to λ1, is also an eigenvector of QT with an eigenvalue λ2 = λ1 * (QT * x).

for more such question on matrix visit

https://brainly.com/question/2456804

#SPJ8

Zeros, of a radical function using the radical general rules is:

f(x)=n√P(x) f (x) = P (x) n.

A number's radical and root are the same thing. A cube root, a square root, or an nth root could be the root. Therefore any number or phrase that uses a root is a radical. The number that comes before the radical is known as the index number or degree.

Using these rules to determine the intercepts, or zeros, of a radical function f(x)=n√P(x) f (x) = P (x) n. t

Now, to determine the x -intercepts, set f(x)=0 f (x) = 0 and solve for x.

This is equivalent to solving P(x)=0

x = 0.

To know more about radicals, visit:

https://brainly.com/question/1597269

#SPJ1

If Sergio must now deduct depreciation from his cost to determine his adjusted basis.  The amount he must deduct for depreciation is: C. $24,787

Depreciation can be defined as the way assets tend to reduce in value over time. Depreciation is often calculated as cost of asset - Salvage value divide by the useful life of asset.

The amount that must be deducted as depreciation is $24,787 since we were told that he only claimed the amount of $24,787 in depreciation over the years in which he failed to claim  $1,342 as depreciation.

Therefore the correct option is C.

Learn more about depreciation here:https://brainly.com/question/25785586

#SPJ1

The complete question is:

Sergio sold a rental house he had owned for several years. He claimed $24,787 in depreciation over the years. he claimed the allowable depreciation deduction each year except the first year he owned the house., when he could have claimed $1,342 but failed to do so. in order to determine his gain or loss on the sale, Sergio must now deduct depreciation from the cost to determine his adjusted basis. While other events (such as improvements and casualty losses) may also affect Sergio's basis, what is the amount he must deduct for depreciation?

A) $1,342

B) $23,445

C)$24,787

D)$26,129

Answer:

Area of shaded region=[6×(5x+1)]-[4×(2x+3)]

=(30x+6)-(8x+12)

=30x+6-8x-12

=30x-8x+6-12

=24x-6

Answer:

If f(x) = 3x, and y is a function of x (i.e. y = f(x) ), then the value of y when x is 4 is f(4), which is found by replacing x"s by 4"s .

Step-by-step explanation:

Answer:

24w - 21

Step-by-step explanation:

-8(2 - 3w) - 5

We first expand the -8

-16 + 24w - 5

We then add -16 to -5

-16 + -5

= -21

We get the 24w, put in in the equation and get 24w - 21

Answer:

24w−21

Step-by-step explanation:

Factoring  24w2+10w-21

The first term is,  24w2  its coefficient is  24 .

The middle term is,  +10w  its coefficient is  10 .

The last term, "the constant", is  -21

Step-1 : Multiply the coefficient of the first term by the constant   24 • -21 = -504

Step-2 : Find two factors of  -504  whose sum equals the coefficient of the middle term, which is   10 .

     -504    +    1    =    -503

     -252    +    2    =    -250

     -168    +    3    =    -165

     -126    +    4    =    -122

     -84    +    6    =    -78

     -72    +    7    =    -65

     -63    +    8    =    -55

     -56    +    9    =    -47

     -42    +    12    =    -30

     -36    +    14    =    -22

     -28    +    18    =    -10

     -24    +    21    =    -3

     -21    +    24    =    3

     -18    +    28    =    10    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -18  and  28

                    24w2 - 18w + 28w - 21

Step-4 : Add up the first 2 terms, pulling out like factors :

                   6w • (4w-3)

             Add up the last 2 terms, pulling out common factors :

                   7 • (4w-3)

Step-5 : Add up the four terms of step 4 :

                   (6w+7)  •  (4w-3)

            Which is the desired factorization

Answers:

=============================================================

Explanation:

If a set has n elements inside it, then it has 2^n different subsets.

Consider a set like {a,b,c}. It has n = 3 elements.

It has 2^n = 2^3 = 8 subsets

Those 8 subsets are...

As you can see, each subset consists of items that are selected from the original set {a,b,c}. We can't have any repeat letters.

In that list, items 2 through 4 represent subsets with exactly two things inside it. Items 5 through 7 are known as singletons as they only have one item inside each set. The empty set can be written with the symbol \(\varnothing\) or you could have a pair of braces with nothing inside them. The empty set is a subset of any set.

--------------

Note how I included {a,b,c} as a subset. Any set is a subset of itself.

A proper subset will ignore the original set and only look at smaller subsets. If we say B is a proper subset of A, then set B will have fewer items compared to set A. Without the "proper" in there, it's possible that A = B.

So all we've done really is kick out one set which drops 2^n to (2^n)-1 when counting the number of proper subsets. I'm using parenthesis to indicate the "-1" is not part of the exponent. If you wrote this on your paper, then you would likely write \(2^{n} - 1\)

--------------

For this problem, n = 11

This means there are 2^n = 2^11 = 2048 subsets and (2^n)-1 = 2048-1 = 2047 proper subsets.

The number of subset of a set containing 11 elements is 2,048

And, number of proper subset of a set containing 11 element is 2,047.

Here,

A set containing 11 elements.

We have to find number of Subsets and number of Proper subsets.

What is Proper subset of a set?

Set A is considered to be a proper subset of Set B if Set B contains at least one element that is not present in Set A.

Now,

Let a set containing n elements.

then, Number of subsets = \(2^{n}\)

And, Number of proper subsets = \(2^{n} -1\)

Hence,

A set containing 11 elements.

Number of subsets = \(2^{11} = 2,048\)

And, Number of proper subsets = \(2^{11} -1 = 2,048 - 1 = 2,047\)

Hence, The number of subset of a set containing 11 elements is 2,048

And, number of proper subset of a set containing 11 element is 2,047.

Learn more about the proper subsets visit:

https://brainly.com/question/23602382

#SPJ2

Answer:

Where is the numbers dude? LOL

Step-by-step explanation:

The expression representing the perimeter of the polygon is given as follows:

7mn³/3 + 4m² + 3mn².

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

Hence the perimeter for the polygon in this problem is given as follows:

mn³(1/3 + 2) + m²(1 + 3) + mn²(1 + 2) = 7mn³/3 + 4m² + 3mn².

More can be learned about the perimeter of a polygon at https://brainly.com/question/3310006

#SPJ1

Answer:

x+7)^2=x^2+2*7x+7^2= x^2+14x+49

Step-by-step explanation:

Answer:

2x-14

From: iOE your friend :D :)

* Be awesome Be you*

Answer:

Z = 22.5, Y = 81, X = 26.7

Step-by-step explanation:

Using the lengths you do know compare them to the copy, the only two lengths available that are for the same side length are 33 and 22, divide them together and you get 1.5. Thats the scale factor. Everything else you can figure out by multiplying or dividing by this scale factor.

\(Z = (15)(1.5) = 22.5\\Y = (54)(1.5) = 81\\X = (40)/(1.5) = 26.7\)

Answer:

The weight for an object with a velocity of 12 meters per second is 600 kilograms

Step-by-step explanation:

Formula of linear momentum : p = mv

where p is the momentum

m = mass

v = velocity

If the velocity is 16 meters per second  and the object weighs 450 kilograms

Substitute the values

\(p = 16 \times 450\)

We are supposed to find the weight for an object with a velocity of 12 meters per second

So, p = 12m

We are given that The linear momentum is a constant when the mass varies inversely of the velocity.

So,\(16 \times 450 = 12 m\)

\(\frac{16 \times 450}{12}=m\)

600 = m

So,the weight for an object with a velocity of 12 meters per second is 600 kilograms

The probability of choosing a blue marble is 0.59.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

The jar contains 7 red marbles and 10 blue marbles.

The probability of choosing a blue marble will be:

= Number of blue marbles / Total marbles

= 10/17

= 0.59

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

The functions are f(x) = 600 - 10x & g(x) = 20/3x, and the graphs are added as attachments

From the question, we have the following parameters that can be used in our computation:

The table of values

For the membership application, we have the following features

So, the function is

f(x) = 600 - 10x

For the membership available, we have the following features

So, the function is

g(x) = 20/3x

So, the functions are f(x) = 600 - 10x & g(x) = 20/3x

Read more about linear relation at

https://brainly.com/question/30318449

#SPJ1

The area of the trapezoid is \(\frac{1}{2}(b1+b2)*h\)

Therefore the area is:

   \(\frac{1}{2}*(3+5)*9 =\frac{1}{2}*(8)*9=4*9=36km^2\)

Area: 36 square kilometers

Hope that helps!