1. Find the value of x, y, and mEBF. SHOW ALL WORK.

Evaluating the expression in x = -25 and y = 10 gives the value -25.

Here we have the expression:

x + y - 10

And we want to evaluate it in x = -25 and y = 10, this just means that we need to replace the variables in the expression by the correspondent numbers.

Doing that we get:

-25 + 10 - 10

Now we can just simplify this expression:

-25 + 10 - 10 = -25 + (10 - 10) = -25

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Answer:

12

Step-by-step explanation:

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The van will travel 5 miles in 1/4 hours, if its speed is 20 miles/hour.

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Answer:

  (d)  72.925°

Step-by-step explanation:

You have congruent angles P and Q in triangle PQR, where angle R measures 34.15°. You want to know the measure of angle P.

The angle sum theorem tells you the sum of angles in a triangle is 180°.

  P +Q +R = 180°

  P +P +34.15° = 180° . . . . . substitute equivalents

  2P = 145.85° . . . . . . . . . subtract 34.15°

  P = 72.925° . . . . . . . . divide by 2

The measure of ∠P is 72.925°.

Using the conversion of expanded form, 7 comes tens place, 8 comes in ones place, 6 comes hundredth place after decimal and 3 comes thousandth place after decimal.

In the given question,

We have to check what number is represented by the expanded form.

The given expanded form is

70+8+6/100+3/1000

The tenths place is represented by the first digit following the decimal. The hundredths place is represented by the digit that follows the decimal. Up until there are no more digits, the remaining ones keep the place values filled in. the quantity.

We have to check in which place what number comes.

Firstly we see the number 70. In the number we can see that 7 is in tens place. So in the chart in place of tens 7 come.

Now we can see that 8 is in ones place. So 8 comes in ones place in chart.

Now we check next number 6/100. As we can see that 6 is divide by 100 so it represent decimal value. Since it is divided by 100 so 6 comes in hundredth place after decimal.

Now we check number 3/1000. As we can see that 3 is divide by 1000 so it represent decimal value. Since it is divided by 1000 so 3 comes in thousandth place after decimal.

The completed chart is below.

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23.

f(x) is just a function in terms of x.

where it says 4f(2) all that means is 4 times the function when x is 2.

To work it out, you just need to swap all xs with 2 and calculate what that is. That gives you f(2), then multiply that answer by 4 to get 4f(2)

Same thing for g(x). First step swap xs for 6 to get g(6) then multiply answer to get 6g(6). At that point, you should have 2 numbers with no x's and you can minus the f by g.

24. Is about compound interest which means that after each year a new amount is worked out rather than a flat amount for the whole 8 years.

2 ways to tackle it, you could work out 8% of each year but that would require you to work it out 8 times which is time consuming and possible to make errors.

2nd way is much easier in that regard.

Final Answer = Initial Amount * (1 + interest rate)^amount of years.

Answer = 5000*(1+0.08)^8

Answer:

The factors of 2000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 1000, 2000

&

The multiples of 2000 are 2000, 4000, 6000, 8000, 10000, 12000, 14000, 16000, 18000, 20000, ...

a) The first three terms of the sequence are 21, 24 and 29.

b) There are 6 terms in the sequence are less than 50.

What is Geometric sequence?

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

Given that;

The nth term of a sequence is,

⇒ n² + 20

Now,

Since, The nth term of a sequence is,

⇒ n² + 20

First term of the sequence is,

⇒ n² + 20

⇒ 1² + 20

⇒ 1 + 20

⇒ 21

Second term of the sequence is,

⇒ n² + 20

⇒ 2² + 20

⇒ 4 + 20

⇒ 24

Third term of the sequence is,

⇒ n² + 20

⇒ 3² + 20

⇒ 9 + 20

⇒ 29

Thus, The first three terms of the sequence are 21, 24 and 29.

And, The fourth term of the sequence is,

⇒ n² + 20

⇒ 4² + 20

⇒ 16 + 20

⇒ 36

And, The fifth term of the sequence is,

⇒ n² + 20

⇒ 5² + 20

⇒ 25 + 20

⇒ 45

The sixth term of the sequence is,

⇒ n² + 20

⇒ 6² + 20

⇒ 36 + 20

⇒ 56

So, There are 6 terms in the sequence are less than 50.

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The number of 8 adults will supervise 48 children, 66 children will be supervised by 11 adults and 15 adults will supervise 90 children.

According to the question,

We have the following information:

1 adult supervises 6 children.

Now, for the first one, we have to find number of children to be supervised by 8 adults.

1 adult = 6 children

8 adults = 8*6 children

8 adults = 48 children

Now, for the second one, we have to find the number of adults for 66 children:

1 children = 1/6 adult

66 children = 66/6 adults

66 children = 11 adults

Now, for the third one, we have to find number of children for 15 adults:

15 adults = 15*6 children

15 adults = 90 children

Hence, the number of 8 adults will supervise 48 children, 66 children will be supervised by 11 adults and 15 adults will supervise 90 children.

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Answer: First is 48 Second is 11 Third is 90

Step-by-step explanation: I did it on Khan ✔

Answer:

216, 343

Step-by-step explanation:

1, 8, 27, 64, 125 ← are perfect cubes , that is

1³ = 1 × 1 × 1 = 1

2³ = 2 × 2 × 2 = 8

3³ = 3 × 3 × 3 = 27

4³ = 4 × 4 × 4 = 64

5³ = 5 × 5 × 5 = 125

continuing the pattern for 6 and 7

6³ = 6 × 6 × 6 = 216

7³ = 7 × 7 × 7 = 343

thus the next 2 terms in the sequence are 216, 343

Solutions for the given expression in the given interval will be {0, π/2, 3π/2}.

What are trigonometric expressions?

Trigonometric identities are, by definition, reciprocal. These formulas show the connections between the sine/cosine functions and tangents.

Refer to the attachment for the Question:

[tex]\sin^2{(\theta)}=2\sin^2{(\frac{\theta}{2})}[/tex]

[tex][2\sin{(\frac{\theta}{2})}\cos{(\frac{\theta}{2})}]^2=2\sin^2{(\frac{\theta}{2})}[/tex]

[tex][4\sin^2{(\frac{\theta}{2})}\cos^2{(\frac{\theta}{2})}]=2\sin^2{(\frac{\theta}{2})}[/tex]

[tex][4\sin^2{(\frac{\theta}{2})}\cos^2{(\frac{\theta}{2})}]-2\sin^2{(\frac{\theta}{2})}=0[/tex]

[tex]2\sin^2{(\frac{\theta}{2})}[2\cos^2{(\frac{\theta}{2})}-1]=0[/tex]

[tex]\sin{(\frac{\theta}{2})}=0[/tex]

[tex]{(\frac{\theta}{2})}=n\pi[/tex]

[tex]\theta=2n\pi[/tex] [Here, n = integer]

[tex]\theta=0,\pi,2\pi,....[/tex]

Therefore,[tex]\theta=0[/tex]  [Since,[tex]0\le \theta < 2\pi[/tex] ]

[tex][2\cos^2{(\frac{\theta}{2})}-1]=0[/tex]

[tex]\cos{\theta}=0[/tex]

[tex]x=\frac{\pi}{2}+\pi n[/tex]  [Here, n = integer]

Therefore,[tex]\theta=\frac{\pi}{2}, \frac{3\pi}{2}[/tex]  [Since, [tex]0\le \theta < 2\pi[/tex]]

Hence, solutions for the given expression will be  {0, π/2, 3π/2}.

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According to the given coordinates, there are 4 set of points will appear on the Kelsey’s graph and the graph is attached below.

Coordinates.

Coordinates refers the locations of points on a grid known as the cartesian plane or coordinate plane.

Given,

Kelsey is going to graph the ordered pairs that are represented by this table on a coordinate plane.

Here we need to find the number of points should appear in Kelsey’s graph.

In order to find the number of points, first we have to plot the table vales on the graph.

Once we plotted the values on the graph then the graph is look like the following graph.

While we looking through the graph we have identified that the points are (-6,-4), (-4, -6), (3, -6) and (5, 0) are presented on the graph.

Therefore, there are 4 points are plotted on Kelsey’s graph.

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The axis of symmetry has the equation x=2, and the vertex is (2,4). The chart is displayed below.

For example,

Find the vertex of y = x^2 - 4x + 8 and sketch its graph.

Solution

Completing the square, we have

y  = x^2 - 4x + 8

= (x-2)^2+4 .

Hence the vertex is (2,4) and the axis of symmetry has equation x=2.

The graph is shown below.

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The answer would be...

R + 7

Step-by-step explanation:

collect like terms

10r - 2r - 7r + 4 - 3 =

= r + 1

The value of y-coordinate of the solution of the system of equation

2x + 3y = 6 and 2x + y = -2 is y = 4.

Given, a system of equation

2x + 3y = 6 and 2x + y = -2

On subtracting both the equations, we get

3y - y = 6 - (-2)

2y = 6 + 2

2y = 8

On dividing both the sides by 2, we get

2y/2 = 8/2

y = 4

So, the value of y-coordinate of the solution is y = 4.

Hence, the value of y-coordinate of the solution of the system of equation 2x + 3y = 6 and 2x + y = -2 is y = 4.

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Answer:

X= 1/2 y= -2/5. X+2y= -1/5.

The equation of the line passing through the point with coordinates (1/2, -2/5) and having slope -1/2 is:

y = -1/2x + b.

Substituting coordinates of the point in the equation, we get:

-2/5 = -1/2(1/2) + b => b = 1/5.

Therefore, the equation of the line is:

y = -1/2x + 1/5.

Step-by-step explanation:

Answer:

0.89

Step-by-step explanation:

31.95 is about 32

36.05 is about 36

32/36 is 0.888...

rounded is 0.89

Answer:

.89

Step-by-step explanation:

Answer: 243

Step-by-step explanation: the thing that happens every time is the number gets multiplied by 3. 1/3, 1, 3, 9, 27, 81, 243

hope this helps!

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Answer:243

Step-by-step explanation:The terms are being multiplied by 3. 1/3 times 3 is 1, 1 times 3 is 3, 3 times 3 is 9.

Camron (E) = 20h, she earns $300 for 15 hours.

acc to our question-

Hence,Camron (E) = 20h, she earns $300 for 15 hours.

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As per the slope intercept form, the value of r is 66.

Slope intercept form:

In order to find the slope intercept form, we have to use the formula,

y = mx + c

where

(x, y) refers the point

m refers the slope

c refers the y-intercept.

Given,

Here we have the pair of points (12, 10), (−2, r) and the value of slope which is m = -4.

Now, we need to find the value of r.

We know that the general form of the slope intercept form is

y = mx + c

First we have to use the slope and the point (12, 10), to find the intercept of the line,

So, we have to apply the value on the formula, then we get,

10 = -4(12) + c

10 = -48 + c

c = 58

So, the slope intercept form equation is

y = -4x + 58

In order to find the value of r, we have to apply the point (-2,r) on the equation, then we get,

r = -4(-2) + 58

r = 8 + 58

r = 66

Therefore, the value of r is 66.

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The value of b in the equation  4.2g+ 5 =2.2g + 11 is g = 3   .

In the question ,

it is given that ,

the equation is  4.2g+ 5 =2.2g + 11

on arranging like terms together , we get

4.2g - 2.2g = 11 - 5

2g = 6

g = 6/2

g = 3

the value of g is = 3 .

to check whether the value g = 3 is correct  ,

we substitute g = 3 , in the equation

4.2(3)+ 5 =2.2(3) + 11

12.6 + 5 = 6.6 + 11

17.6 = 17.6

So , the answer that g = 3 is correct .

Therefore , The value of b in the equation  4.2g+ 5 =2.2g + 11 is g = 3   .

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Answer: 0

Step-by-step explanation:

ƒ(x) = −x² – 10x – 9

Putting value of x as -1

the function is as followed:

ƒ(-1)  = -(-1)^2  - 10 (-1) - 9

ƒ(-1)  = -1 +10-9

ƒ(-1)  = 9-9

         = 0

The answer choice which should fill the blank in the task content is; Sometimes.

The maximum value of a linear objective function sometimes occurs at exactly one vertex of the feasible region.

It follows from the task content that the maximum value of a linear function is established as occuring at the vertex of the feasible region; however, it is required to determine if this is always, never or sometimes.

When the graph of a system of inequalities, usually the constraint inequalities forms a region that is closed, the region is said to be bounded and the region is termed the feasible region as all constraints are satisfied in this region.

Furthermore, If the linear programming problem can be optimized, an optimal (minimum or maximum) value will occur at one of the vertices of the region representing the set of feasible solutions.

However, more than one vertex may produce the maximum value; hence, the correct answer choice is; sometimes.

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Answer:

-6

Step-by-step explanation:

3(-4)/-2+(-12)

=-12/-2+(-12)

=6-12

=-6

The multiple of I is the imaginary portion. It is customary to write z = a + bi, where a represents the real part and b represents the imaginary part, to represent complex numbers. where b is the imaginary part and a represents the real part. Sum of Real parts and sum of imaginary parts i is (1 + 3i) 

A and b are referred to as the "real component" and "imaginary part," respectively, of the complex number z=a+bi. If a=0, the complex number is "purely imaginary," and if b=0, it is a real number.

Real components add up to 1, while imaginary parts add up to 3i.

A complex number is stated in its standard form as z = x + iy, where x represents the real part and y represents the imaginary part because it is connected to the imaginary axis.

Considering the formula (3 - 5i) + (-2 + 8i).

Collect similar phrases into real and fictitious parts as follows: 

= (3 - 5i) + (-2 + 8i)

= (3 - 2 - 5i + 8i)

=(1 + 3i) 

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The coordinates of the triangle before and after transformations is below

preimage       image (dilation)         image (translation)

D (3, -1)               D' (12, -4)                       D''(4, -8)

E (2, 0)                E' (8, 0)                         E''(0, -4)

F (1, -2)                F' (4, -8)                        F''(-4, -12)

Dilation is a method of transformation that magnify or shrink the preimage depending on the scale factor

The transformation rule for dilation is as follows

(x, y) for a scale factor of r → (rx, ry)

The translation is down 4 units and left 8 units, the transformation rule is

(x, y)  → (x - 8, y - 4)

The transformation rule is applied as shown

preimage                        image (dilation)                   image (translation)

D (3, -1)  → (3 * 4, -1 * 4) → D' (12, -4)   → (12 - 8, -4 - 4) → D''(4, -8)

E (2, 0)  → (2 * 4, 0 * 4) → E' (8, 0)      → (8 - 8, 0 - 4)   → E''(0, -4)

F (1, -2)  → (1 * 4, -2 * 4) → F' (4, -8)     → (4 - 8, -8 - 4)  → F''(-4, -12)

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The value of [tex]x_4[/tex] = 5.8284.

Given:

An iterative formula:

[tex]x_{n+1} = 19/x_n + 3[/tex]

and [tex]x_1[/tex] = 9

for x_2 n = 1 substitute

[tex]x_{1+1} = 19/x_1 + 3[/tex]

[tex]x_{2} = 19/9 + 3[/tex]

= 19 + 3*9 / 9

= 19+27 / 9

= 46/9

[tex]x_3 = 19/x_2 + 3\\[/tex]

= 19/46/9 + 3

= 19*9 / 46 + 3

= 171+138 / 46

= 309/46

[tex]x_4 = 19/x_3 + 3[/tex]

= 19/309/46 + 3

= 19*46+3*309 / 309

= 1801/309

= 5.8284

Therefore The value of [tex]x_4[/tex] = 5.8284.

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Answer:

5q+5q+5

Step-by-step explanation: