Rewrite the expression with rational as a radical expression 5x

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Answer: 9$

Explanation:

5 + 3 + 1 + x + 2 = 20

Subtract all those numbers

x = 9

5 + 3 + 1 + 9 + 2 = 20

20 / 5 = 4

I hope this helped!

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The equation of the line is represented in table number 2. Then the correct option is B.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

From the graph, the y-intercept is 5. Then the equation is given as,

y = mx + 5

From the graph, the equation passes through (-4, -3). Then we have

- 3 = (-4)m + 5

- 8 = - 4m

m = 2

Then the equation is given as,

y = 2x + 5

The equation of the line is represented in table number 2. Then the correct option is B.

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Answer:

E' = (-3, -4)

F' = (-2, -5)

G' = (0, -1)

Step-by-step explanation:

Given vertices of quadrilateral DEFG:

A translation is a type of transformation and moves a figure left, right, up or down.  

Every point on the original figure is translated (moved) the same distance in the same direction.

Therefore, to calculate the mapping rule that translates DEFG to D'E'F'G', compare the coordinates of D with the coordinates of D'.

The x-coordinate has be translated 1 unit to the left.

The y-coordinate has been translated 4 units down.

Therefore, the mapping rule is:

To find the coordinates of E', F' and G', apply the mapping rule to the given vertices of the pre-image:

⇒ E' = (-2-1, 0-4) = (-3, -4)

⇒ F' = (-1-1, -1-4) = (-2, -5)

⇒ G' = (1-1, 3-4) = (0, -1)

Answer:

The value of y is - 11

Step-by-step explanation:

The first statement is written as

6y + x = -62.......... equation 1

The second statement is written as

x - y = 15 ........ equation 2

To find y make x the subject in the second equation and substitute it into the first equation

That's

x = 15 + y

6y + x = - 62

6y + 15 + y = -62

7y = -62 - 15

7y = - 77

Divide both sides by 7

y = - 11

Hope this helps you.

The eligible amount of work-related daycare expenses will be $2600

Married filing jointly is a filing status for married couples, allowing them to file joint tax returns. When filing taxes under married filing jointly status, a married couple can record their respective incomes, deductions, credits, and exemptions on the same tax return.

Given here wages of the cliff are $16,228 and if the deb is  $2,600

now the mfj is 35% hence cliffs credit is 35% ×  $16,228 = $5679.8

and daycare yearly expenses are = $250×12

                                                        = $3000

but deb's income is $2600 and thus credit cannot exceed deb's wages therefore the revised credit would be $2600

Hence, the eligible amount of work-related daycare expenses will be  $2600

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Answer: The figure is made up of two parts, the front and the back. Each part has a volume of 8 blocks, so the total volume is 16 blocks.

Alternatively, we can find the volume by adding up the volumes of each layer. The top layer has a volume of 2 blocks, the second and third layers have a volume of 8 blocks each, and the bottom layer has a volume of 8 blocks. So the total volume is 2 + 8 + 8 + 8 = 26 cubic units. However, we need to subtract the volume of the blocks that are hidden from view. The blocks that are hidden in the front view are the two blue blocks in the front of the third layer, and the blocks that are hidden in the back view are the two red blocks in the back of the first layer. So the total volume of the figure is 26 - 2 - 2 = 22 cubic units.

Step-by-step explanation:

Answer:

380 dollars

Step-by-step explanation:

John earns $437 a week after a 15% pay rise.

Let the initially pay of John be x

x + (15% of x) = 437

x + 0.15x = 437

1.15x = 437

x = \frac{437}{1.15}

1.15

437

x = 380

9514 1404 393

Answer:

  t(n) = -n^2 -n +102

Step-by-step explanation:

We can use the first 3 terms to find a, b, c.

  a(1)^2 +b(1) +c = 100

  a(2)^2 +b(2) +c = 96

  a(3)^2 +b(3) +c = 90

Subtract the first equation from the other two:

  3a +b = -4 . . . . . . [eq4]

  8a +2b = -10 . . . . [eq5]

[eq5] can be reduced to

  4a +b = -5 . . . . . . [eq6]

Subtracting [eq4] from [eq6] gives ...

  (4a +b) -(3a +b) = (-5) -(-4)

  a = -1 . . . . . . . . simplify

Filling that into [eq4], we get

  3(-1) +b = -4

  b = -1 . . . . . . . add 3

Putting the values for 'a' and 'b' into the first equation gives ...

  -1 +-1 +c = 100

  c = 102

Then the n-th term t(n) of the sequence is ...

  t(n) = -n^2 -n +102

_____

Additional comment

As you might guess, there is a generic solution for quadratic sequences. In terms of the first term (a1), first first difference (d1), and second difference (d2), the coefficients can be written as ...

This sequence has first differences of -4, -6, -8, -10, and second differences of -2. Putting the sequence values into the above formulas, we find ...

Answer:

a) £320

b) £720

c) 2 days

Step-by-step explanation:

The question is all about inputting values and finding a result or rearranging and finding a result.

a) d = 6. C = 50(6)+20      = 320

b) d = 2x7 (7 days a week)  C = 50(2x7) + 20     = 720

c) C = 120 ... 120 = 50d+20

100 =50d      d = 100/50      = 2

Answer: B

Step-by-step explanation: the value of it is 5 its simple

Triangle ABC

3cm 4cm 6cm

Triangles DEF

10cm 24cm 26 cm

Triangle GHI

8cm, 17 cm 19 cm

The triangle is a right triangle if we have a solution for a Phytogoras theorem

c= greater side

a and b= the other sides

for triangle ABC

c=6

c is not 5 so the ABC triangle is not a right triangle

For triangle DEF

c=26cm

the triangle DEF is a right triangle

For the triangle GHI

c=19

the triangle GHI is not a right triangle

the answer is the triangle DEF

Given:

Vertices of a parallelogram ABCD are A(7,-4), B(-1,-4), C(-1,-12), D(7, -12).

To find:

Whether the parallelogram ABCD is a rhombus, rectangle or square.

Solution:

Distance formula:

\(D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Using distance formula, we get

\(AB=\sqrt{(-4-(-4))^2+(-1-7)^2}\)

\(AB=\sqrt{(-4+4)^2+(-8)^2}\)

\(AB=\sqrt{0+64}\)

\(AB=8\)

Similarly,

\(BC=\sqrt{(-1-(-1))^2+(12-(-4))^2}=8\)

\(CD=\sqrt{(7-(-1))^2+(-12-(-12))^2}=8\)

\(AD=\sqrt{(7-7)^2+(-12-(-4))^2}=8\)

All sides of parallelogram are equal.

\(AC=\sqrt{(-1-7)^2+(-12-(-4))^2}=8\sqrt{2}\)

\(BD=\sqrt{(7-(-1))^2+(-12-(-4))^2}=8\sqrt{2}\)

Both diagonals are equal.

Since, all sides are equal and both diagonals are equal, therefore, the parallelogram ABCD is a square.

We know that, a square is special case of rectangles and rhombus.

So, parallelogram ABCD is a rhombus, rectangle or square. Therefore, the correct option is c.

The given sequence does not follow a simple arithmetic or geometric pattern, making it challenging to determine an explicit rule based on the given terms.

To identify the type of sequence and write the explicit rule, we need to examine the pattern of the given sequence: -39, -45, 51, 57, ...

By observing the differences between consecutive terms, we can determine if it follows an arithmetic or geometric pattern.

Arithmetic sequences have a common difference between each term, meaning that by adding (or subtracting) the same value repeatedly, we can generate the sequence. Geometric sequences, on the other hand, have a common ratio between each term, meaning that by multiplying (or dividing) by the same value repeatedly, we can generate the sequence.

Let's calculate the differences between consecutive terms:

-45 - (-39) = -6

51 - (-45) = 96

57 - 51 = 6

From the differences, we can see that the sequence is not arithmetic since the differences are not constant. However, the differences alternate between -6 and 6, indicating a possible geometric pattern.

Let's calculate the ratios between consecutive terms:

-45 / (-39) ≈ 1.1538

51 / (-45) ≈ -1.1333

57 / 51 ≈ 1.1176

The ratios are not constant, indicating that the sequence is neither geometric nor arithmetic.

Therefore, the given sequence does not follow a simple arithmetic or geometric pattern, and it is difficult to determine the explicit rule based on the given terms. It is possible that the sequence follows a more complex pattern or rule that is not apparent from the given terms.

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Answer:

The probability is 0.33

Step-by-step explanation:

Please find the attachment for detail

Answer:

Step-by-step explanation:

Given function

Let's try point x = 0

So the vertex moves right

See attached

Answer :

percentage decrease = {(2.89-2.82)/2.89}x100 = 2.42%

The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is  (APR / 365) x 30 days x adjusted balance.

The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.

The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.

Credit card interest method = adjusted balance method

Beginning balance = $780

Purchase = $170

Payment = $210

Adjusted balance, AB = $740 ($780 + $170 - $210)

APR = 17% = 0.17 (17/100)

The interest charged = (APR / 365) x 30 days x adjusted balance

= $10.34 [(0.17/365) x 30 x $740]

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According to the unitary method,

A) The time taken for Peter to finish the job alone is 4 hours, 48 minutes.

B) The time taken for Emily and Peter to finish the job together is 2 hours, 36 minutes.

Unitary method:

In math, unitary method refers the process of finding the value of a single unit, and based on this value.

Given,

Emily, Ashley and Peter can clean a warehouse in 2 hours. If Emily does the job alone, she can finish it in 6 hours. If Ashley does the job alone she can finish it in 8 hours.

Here we need to find the following:

A) The time take for Peter to finish the job alone

B) The time taken for Emily and Peter to finish the job together

Let us consider x be the time taken for Peter to finish the job alone.

So, based on the given question we can write it as,

=> 1/6 + 1/8 + 1/x = 1/2

=> (8 + 6)/48 + 1/x = 1/2

=> 14/48 + 1/x = 1/2

=> 7/24 + 1/x = 1/2

=> 1/x = 1/2 - 7/24

=> 1/x = 12 -7/24

=> 1/x = 5/24

=> x = 24/5

=> x = 4.8

So, the time taken for Peter to finish the job alone is 4 hours, 48 minutes.

Then the time taken for Emily and Peter to finish the job together is calculated as,

=> 5/24 + 1/6

=> 5 + 4/ 24

=> 9/24

=> 3/8

Therefore, the time taken for Emily and Peter to finish the job together 2 hours, 36 minutes.

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Answer:

umm i think u asked the question wrong or its incompleate if you need help on anything tell me or conment on this plz

The angle on the unit circle is solved to be

56.01 degrees (to the nearest tenth)

To find the angle of the terminal side through the given point on the unit circle, we can use the inverse trigonometric functions.

given that P = ((√5)/4, (√11)/4)

θ = arctan ((√11)/4 / (√5)/4)

θ = arctan((√11)/(√5))

θ ≈ 56.01 degrees

hence to the nearest tenth of a degree, the angle of the terminal side through the point P = ((√5)/4, (√11)/4) on the unit circle is approximately 56.01 degrees.

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Answer: 18.35259

Hope it helps!

Answer:

10-5g >80

Step-by-step explanation:

10-5g >80

This is the    statment if u want it.

Answer:

(-1,-4)

Step-by-step explanation:

(2, -1)

Moving down 3 means subtract 3 from the y value

Left 3 means subtract 3 from the x value

(2-3, -1-3)

(-1,-4)

Step-by-step explanation:

All the answers which apply are D and F

Answer:

I think it is d but I am now overthinking it so don't put too much trust in that

Answer:

question 1

the ticket price which results in the greatest revenue is 14+8=22$

question 2

the greatest revenue we get is 22*(7500-250*8)= 22*5500=121000$

Step-by-step explanation:

the cost of a ticket to music concert is 14$

capacity of people for concert = 7500

for every increase in price attendance decreases by 250

so the required equation for getting revenue is
                         y =   (14+x)(7500-250x)
                            = 105000+7500x-3500x-250x^2

by differentiating the above equation with respect to x we can find the local maxima which gives us the price for getting more revenue

      dy/dx = 7500 -3500 - 500x =0

                      4000=500x

                          x= 8

from the above equation we got that if the increase in price was 8$ we will be getting the most revenue out of the concert

question 1

the ticket price which results in the greatest revenue is 14+8=22$

question 2

the greatest revenue we get is 22*(7500-250*8)= 22*5500=121000$

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Answer:

C

Step-by-step explanation:

Subtract like-terms. -2y is the only variable that has a y and is therefore unaffected. 8x - x - x = 6x.

--- > 6x - 2y

In hyperbolic geometry, the angle sum of a triangle is always less than 180 degrees.

A lune is a wedge of a sphere with angle θ, represented by L(θ) in the proof.

α, β, and γ are the three angles of the triangle.

4πr²+4area[αβγ]=2L(α)+2L(β)+2L(γ)

2(2πr²+2area[αβγ])=2(L(α)+L(β)+L(γ))

2πr²+2area[αβγ]=L(α)+L(β)+L(γ)

At this point, we need to use a theorem that states that a lune whose corner angle is θ radians has an area of 2θr².

2πr²+2area[αβγ]=2αr²+2βr²+2γr²

2πr²+2area[αβγ]=2r²(α+β+γ)

π+area[αβγ]r²=α+β+γ

At this point, it is clear that the sum of the angles is equal to π plus the area[αβγ]r² (which cannot be zero).

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Here we want to find an area equation as a function of the width for a given rectangle, and evaluate it in different values.

The image of the rectangle is missing, I think that I found the correct image online, and I will post it at the end of the answer.

We will get the table:

\(\left[\begin{array}{ccc}w&A\\1m&9m^2\\2m&16m^2\\3m&21m^2\\4m&24m^2\\5m&25m^2\\6m&24m^2\\7m&21m^2\\8m&16m^2\\9m&9m^2\end{array}\right]\)

Let's see how to find this.

We know that for a rectangle of length L and width W, the perimeter is given by:

P = 2*(W + L)

In this case, we have that the width is w, and the other side measures 10m - w

Then the perimeter will be:

P = 2*(w + 10m - w) = 2*10m = 20m

Which is the amount of fencing that you have, 20m.

Now that we saw that, we can write the area as the product of the two measures, so we have:

A(w) = w*(10m - w) = 10*w - w^2

What we want to do, is evaluate the function in different values of w, and complete a table of w vs A(w).

Where evaluate means, for example for w = 1m, we get:

A(1m) = 10m*1m - (1m)^2 = 10m^2 -1m^2 = 9m^2

And we want to do that for w from 1m to 9m.

Then we just compute:

A(2m) = 10m*2m - (2m)^2 = 20m^2 - 4m^2 = 16m^2

A(3m) = 10m*3m - (3m)^2 = 30m^2 - 9m^2 =  21m^2

A(4m) = 10m*4m - (4m)^2 = 40m^2 - 16m^2 =  24m^2

A(5m) = 10m*5m - (5m)^2 = 50m^2 - 25m^2 =  25m^2

A(6m) = 10m*6m - (6m)^2 = 60m^2 - 36m^2 =  24m^2

A(7m) = 10m*7m - (7m)^2 = 70m^2 - 48m^2 =  21m^2

A(8m) = 10m*8m - (8m)^2 = 80m^2 - 64m^2 = 16m^2

A(9m) = 10m*9m - (9m)^2 = 90m^2 - 81m^2 =  9m^2

Now that we got all the values, we put them in the table:

\(\left[\begin{array}{ccc}w&A\\1m&9m^2\\2m&16m^2\\3m&21m^2\\4m&24m^2\\5m&25m^2\\6m&24m^2\\7m&21m^2\\8m&16m^2\\9m&9m^2\end{array}\right]\)

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Answer:

The answer is below

Step-by-step explanation:

International system of unit (SI unit) are standard units which are universally accepted. There are 7 basic SI units which are meter (m), second (s), kilogram (kg), mole (mol), ampere (A), candela (cd) and kelvin (K).

The SI unit of flow rate is the m³/s.

The conversions needed are:

1 minute = 60 seconds,

1 cm³ = 1 ml = 0.001 ml,

1000000 cm³ = 1 m³,

1 L = 0.001 m³

We have to convert 5.0 liters of blood per minute. to m³/s. Therefore:

\(5\ L/minute=\frac{5\ L*0.001\ m^3}{1\ min*60\ s}=8.33*10^{-5} \ m^3/s\)

Answer:

1. 10/7, 2/1, 1,5

2. 5/8 * 3/2

Step-by-step explanation:

(:

Answer:

Which part exactly.. Or which number exactly