Please help
Find the area in square units of ABC△ plotted below.

Substitute [tex]y=4+5\sqrt x[/tex] and [tex]dy=\frac5{2\sqrt x}\,dx[/tex]. Then the integral is

[tex]\displaystyle \int \frac5{\sqrt x (4+5\sqrt x)^2} \, dx = 2 \int \frac{1}{(4+5\sqrtx)^2} \frac{5}{2\sqrt x} \, dx = 2 \int y^{-2} \, dy[/tex]

By the power rule,

[tex]\displaystyle \int y^{-2} \, dy = -y^{-1} + C[/tex]

so that

[tex]\displaystyle \int \frac5{\sqrt x (4+5\sqrt x)^2} \, dx = \boxed{-\frac2{4+5\sqrt x} + C}[/tex]

The inequality will not have a shared solution set with the graphed linear inequality is y > five-thirds x + 2.

Linear inequalities are inequalities that involves at least one linear algebraic expression, that is, a polynomial of degree 1.Linear inequalities are the expressions where any two values are compared by the inequality symbols such as, '<', '>', '≤' or '≥'. These values could be numerical or algebraic or a combination of both.

Hence, the inequality will not have a shared solution set with the graphed linear inequality is y > five-thirds x + 2.

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Answer:

C

Step-by-step explanation:

answer is C

The copy over algorithm algorithm scans a list from left to right and copies every legitimate value into a new list that it creates.

According to the statement

We have given that the there is a algorithm which is used to data cleanup problem of removing 0 values from a data set, and scans a list from left to right and copies every legitimate value into a new list.

and we have to explain about that algorithm.

So,

Here we given that the algorithm copies and paste the values in the new files then

the algorithm is called the copy over algorithm.

So, The copy over algorithm is a a single specimen of something that occurs in a multiple edition, such as a book, article, etc. a matter to be reproduced in print or an imitation or reproduction of an original.

So, The copy over algorithm algorithm scans a list from left to right and copies every legitimate value into a new list that it creates.

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Lakisha's total job benefits per year are (D) $58,196.

To find  Lakisha's total job benefits:

If Lakisha's employer pays $2,150 in health insurance and $86 in life insurance per year, and she also gets $3,520 in paid time off per year, then Lakisha's total job benefits per year are equal to:

Total Benefits = Health Insurance + Life Insurance + Paid Time Off + Annual Gross Pay

Therefore,  Lakisha's total job benefits per year are (D) $58,196.

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Answer The answer is D

Step-by-step explanation:

I got it correct on edg

Answer:

x1 = 5-3squareroot 5/2 x2= -5+3 squareroot 5 / 2

Step-by-step explanation:

Answer:

140°

Step-by-step explanation:

The exterior angle is equal to the sum of the 2 remote interior angles. (The 2 angles farthest from the angle on the outside of the triangle)

20 + 120 = 140

Answer:

y= 140

Step-by-step explanation:

first you find x by using the sum of angles in a triangle(180-120-20). so x is 40.and then you do 180-40 ( adjustment angles on a straight line. let me know if it makes sense.

Answer:

y = 2x + 7

Step-by-step explanation:

When a line is parallel to another line, then the slopes of the lines are equal. If line A has an equation y = 3x + 5, then line B, parallel to line A, must also have a slope of 3. Therefore, we know that m (slope) is 2 in this case.

Next, let’s substitute the x and y coordinates and the slope value into y - y1 = m(x - x1). In this case, -4 is x1, and -1 is y1.

y - y1 = m(x - x1)

y + 1 = 2(x + 4)

Finally, simplify the equation and transform it into the slope intercept form, y = mx + b.

y + 1 = 2(x + 4)
y + 1 = 2x + 8

y = 2x + 7

Answer:

7   1/5

Step-by-step explanation:

Answer:

4/9

Step-by-step explanation:

.44444.. = 4/9

0.nnnnnnnn.... = n/9

0.mnmnmnmnmn.... = mn/99

and so on

The solution of the given logarithmic equation is x = 28.1

Here we have the logarithmic equation:

4*ln(x - 8) = 12

And we want to solve this for x.

Remember the relations:

[tex]ln(e^x) = x\\e^{ln(x)} = x[/tex]

First, we divide both sides by 4:

[tex]ln(x - 8) = 12/4 = 3[/tex]

Then, if we apply the exponential equation to both sides of our equation, we get:

[tex]e^{ln(x - 8)} = e^{3}\\\\x - 8 = e^3\\\\x = e^3 + 8 = 28.1[/tex]

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Answer:

Even

Step-by-step explanation:

The equation y=[tex]-1/2\sqrt{x^{3} }[/tex] does not give result to y=-2/[tex]x\sqrt{x}[/tex].

Given two equations y=[tex]-1/2\sqrt{x^{3} }[/tex] and y=-2/[tex]x\sqrt{x}[/tex].

We are required to find that how the first equation will result in second equation.

Equation is like a relationship between two or more variables that are expressed in equal to form.Equation of two variables look like ax+by=c. It may be a linear equation,cubic or quadratic equation or many more depending on the power if variable.

Taking the first equation.

y=[tex]-1/2\sqrt{x^{3} }[/tex]

Interchange the power of x.

y=-1/2[tex]\sqrt{x} ^{3}[/tex]

Now multiply [tex]\sqrt{x}[/tex] three times.

y=-1/2[tex]\sqrt{x} \sqrt{x} \sqrt{x}[/tex]

Now [tex]\sqrt{x} \sqrt{x}[/tex] will result in x.

y=-1/2x[tex]\sqrt{x}[/tex]

You can see our result is not matching the second equation.

Hence the equation y=[tex]-1/2\sqrt{x^{3} }[/tex] does not give result to y=-2/[tex]x\sqrt{x}[/tex].

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The probability that knife will hit assistant exactly 3 out of 20 times is  0.001425.

According to the given question.

Number of times a kinfe is thrown = 20

Let p denotes the probability that knife will hits the assistant. And q denotes the probability that knife will not hit the assistant.

so,

p = 1/20

q = 1 - 1/20 = 19/20

Therefore,

The probability that knife will hit assiant exactly 3 out of 20 times

[tex]= ^{20}C_{3} ( \frac{1}{20}) ^{3} (\frac{1}{19} )^{17}[/tex]

= [tex]\frac{20!}{3!17!} (0.05)^{3} (0.0526)^{17}[/tex]

=

Hence, the probability that knife will hit assistant exactly 3 out of 20 times is  0.001425.

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The 45th term of the arithmetic sequence is 178. Option C

Given the arithmetic sequence formula as;

an = 2 + 4(n − 1)

we have n = 45

Let's substitute the value of 'n' into the formula;

a = 2 + 4( 45 - 1)

expand the bracket

a = 2 + 4(44)

a = 2 + 176

a = 178

The 45th term is 178

Thus, the 45th term of the arithmetic sequence is 178. Option C

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Answer:

By the definition of midpoints, AX and CX are congruent. By the definition of segment bisectors, X is the midpoint of BD, and therefore BX and DX are congruent. Since angle AXD and CXB are vertical angles, they are congruent by the vertical angles theorem. By SAS, triangles AXD and CXB are congruent. By CPCTC, angles A and C are congruent. By converse of alternate interior angles theorem, AD is parallel to CB.

It costs $0.50 to mail a postcard to Canada, cost of mailing a one ounce letter to Canada is $0.60 and Ahmad wrote to 21 friends and spent $12.00 for postage. This means that he wrote 15 letters and 6 postcards.

Given Information:

Cost of mailing a postcard = $0.50

Cost of mailing a letter = $0.60

Total number of friends Ahmad wrote to = 21

Total cost of postage = $12.00

Let the number of postcards written by Ahmad be x and that of letters be y.

Then, x + y = 21 ............... (1)

0.50x + 0.60y = 12 ................ (2)

Multiplying equation (1) by 0.50, we get,

0.50x + 0.50y = 10.5 ................. (3)

Subtracting equation (3) from (2), we get,

0.1y = 1.5

⇒ y = 15

From equation (1), x = 21 - y

x = 21 - 15

x = 6

Thus, Ahmad wrote 6 postcards at a mailing cost of $0.50 each and 15 letters at a mailing cost of $0.60 each.

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Answer:

y = 56/3

Step-by-step explanation:

We need to write equations to solve

Let the two numbers be x and y

The sum is 56

x+y = 56

The first number is 2 times greater than the second number.

x = 2*y

Substitute this into the first equation

x+y = 56

2y+y=56

3y = 56

y = 56/3

Step-by-step explanation:

Let the numbers be x and y

The sum of the two numbers is 56 :

Step 1:

X + Y = 56.......... (1)

Also, the first number is 2 times greater than the second number:

Step 2:

2X + Y = 0........... (2)

By substitution method, make Y the subject from (2)

Step 3:

Y = -2X .......... (3)

Put (3) into (1)

Step 4

X - 2X = 56

-X = 56

[tex] \frac{ - x}{ - 1} = \frac{56}{ - 1} [/tex]

X = -56

Put X=56 into (3)

Step 5

[tex]y = - 2( - 56)[/tex]

[tex]y = 112[/tex]

The second number is now 112.

The equation which shows the commutative property of addition is (A) 4+3=3+4.

So,

The commutative property for addition states that, a + b = b + a .

Where a, b is any number.

The above condition is satisfied by the equation

Therefore, the equation which shows the commutative property of addition is (A) 4+3=3+4.

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The correct question is given below:

Which equation shows the commutative property of addition?

A. 4+3=3+4

B. 1(3)=3

C. (2+7)+12=2+(7+12)

D. 4+0=4

The volume of the parallelopiped is 1 cubic units.

In this question,

A parallelepiped is a three-dimensional shape with six faces, that are all in the shape of a parallelogram. It has 6 faces, 8 vertices, and 12 edges. The volume of a parallelepiped is the space occupied by the shape in a three-dimensional plane.

Let the parallelepiped be PQRS.

The vertices of parallelepiped are P(0, 1, 0), Q(1, 1, 1), R(0, 2, 0), S(3, 1, 2).

The volume of parallelopiped can be found by using following steps.

PQ = Q - P = (1,0,1)

PR = R - P  = (0,1,0)

PS = S - P  = (3,0,2)

Now, the volume of parallelopiped is

[tex]v=\left\begin{vmatrix}1&0&1\\0&1&0\\3&0&2\end{vmatrix}[/tex]

The determinant the matrix is

⇒ 1(2-0) - 0(0-0) + 1(0-3)

⇒ 1(2) - 0 + (-3)

⇒ 2 - 3

⇒ -1

Hence we can conclude that the volume of the parallelopiped is 1 cubic units.

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The term that is not possible in the domain of a sequence is:

-5

The domain of a function is the set that contains all possible input values for the function. For a sequence, the domain is the set that contains all the indexed of the terms, starting at 0 and going until the nth term.

For example, suppose we have the following sequence: 3, 5, 7, ...

From what was explained above, which also can be visualized with the example, an index term of a sequence cannot be negative, hence the term that is not possible in the domain of a sequence is:

-5.

Which is the only negative number of the options.

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Considering the definition of a right triangle and its properties, the value of the third angle of a triangle with two angles measuring 79 degrees and 23 degrees is 78 degrees.

A triangle is a polygon that is determined by three line segments called sides, or by three non-aligned points called vertices.

In other words, a triangle is a polygon made up of three sides, as well as three vertices and three interior angles.

One of the properties of any triangle is that the sum of the interior angles is equal to 180°.

In this case, you know that:

So the value of the missing angle can be calculated by:

79° + 23° + missing angle = 180°

Solving:

102° + missing angle = 180°

missing angle= 180° - 102°

missing angle= 78°

Finally, the value of the third angle of a triangle with two angles measuring 79 degrees and 23 degrees is 78 degrees.

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Answer:

The answer is 78.

Step-by-step explanation:

Person above is right and I'm also taking the test!!

Answer:

C 20

Step-by-step explanation:

we need the distance between both points, then, as this is the side of a square, we square it and get the area of the square.

the distance we get via Pythagoras (the distance is the Hypotenuse of a right-angled triangle with the coordinate differences in x and y being the legs) :

distance² = (-1 -3)² + (1 - -1)² = (-4)² + 2² = 16+4 = 20

distance = sqrt(20)

the area of the square is the side², so again distance², and therefore the area is 20.

The number of different batting orders are possible using the starting lineup is 3628800

The given parameter is

Players, n = 10

The different batting orders are possible using the starting lineup is calculated using the following permutation expression

Ways = nCn

Substitute the known values in the above equation

Ways = 10P10

Apply the permutation formula

Ways = 10!/(10 - 10)!

Evaluate the difference

Ways = 10!/0!

0! = 1

So, we have:

Ways = 10!/1

Evaluate

Ways = 10!

Expand

Ways = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1

Evaluate the product

Ways = 3628800

Hence, the number of different batting orders are possible using the starting lineup is 3628800

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A sample consists of only the 25th student in a group of 1,000 students, called Systematic sampling.

A sample consists of only the 25th student in a group of 1,000 students, called Systematic sampling.

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Answer:

C

Step-by-step explanation:

You are dividing BOTH sides by 3.

"The division property of equality states that when we divide both sides of an equation by the same non-zero number, the two sides remain equal."

Answer:

Step-by-step explanation:

F starts at 200 and ends at 900

V starts at 0 and ends at 100

points(0,200) and (100,900)

200-900/0-100

= -700/-100

=7 which means every 7 it goes you another 100

this is all I got hope it helps

Answer:

The cable length will have to be at least 30.51936ft

Step-by-step explanation:

[tex]c= \frac{25}{ \sin( 55 ) } = 30.51936[/tex]

C = Cable