Write an equation for the transformation of y=x
vertical compression by a factor of 1/11

If a man drove 14 miles directly east from his home made a left turn at an intersection and then traveled 7 miles due north to his place of work. If a road was made directly from his home, to his place of work what would its distance be is: 15.65 miles.

            (Work)

                                      A

                                    /   ║

                             /          ║                              

                      /                 ║ 7 miles

                 /                      ║  

(Home) B /___________║C

                    14 miles

Using Pythagorean theorem formula to determine the what the distance will be:

Hypotenuse²=√Perpendicular² +Base²

Let plug in the formula

Hypotenuse²=√7²+14²

Hypotenuse²=√49+196

Hypotenuse²=√245

=15.65 miles

Therefore If a man drove 14 miles directly east from his home made a left turn at an intersection and then traveled 7 miles due north to his place of work. If a road was made directly from his home, to his place of work what would its distance be is: 15.65 miles.

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Using arithmetic sequences, it is found that:

a) The sequence is: [tex]a_n = 5 + 3(n - 1)[/tex].

b) 14 blocks will be needed to create the next figure.

c) The sequence means that the number of blocks start at 5 and increase by 3 each figure.

3) The 4th term of the sequence is of -3.

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n - 1)d[/tex]

From the figure, we have that:

Hence the first term and the common ratio are given as follows:

[tex]a_1 = 5, d = 3[/tex]

The sequence is: [tex]a_n = 5 + 3(n - 1)[/tex], hence the sequence means that the number of blocks start at 5 and increase by 3 each figure.

For item b, the amount is:

[tex]a_4 = 5 + 3(4 - 1) = 14[/tex]

14 blocks will be needed to create the next figure.

For item 3, the sequence is given by:

[tex]a_n = 12 - 5(n - 1)[/tex]

Hence the 4th term is:

[tex]a_4 = 12 - 5(4 - 1) = -3[/tex]

The 4th term of the sequence is of -3.

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Answer: 30

Step-by-step explanation:

Slope: y/x

y/x =

+60/+2=

60/2=30

Taking into account the definition of a system of linear equations, the speed of the first train is 363 mph and the speed of the second train is 356.8 mph.

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. In other words, the values ​​of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.

In this case, a system of linear equations must be proposed taking into account that:

So, the system of equations to be solved is

[tex]\left \{ {{F+S=719.8} \atop {F=S+6.2}} \right.[/tex]

It is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, substituting the second equation in the first one you get:

S + 6.2 + S= 719.8

Solving:

2S + 6.2= 719.8

2S= 719.8 - 6.2

2S= 713.6

S= 713.6÷ 2

S= 356.8

Remembering that F= S+ 6.2, then:

F= 356.8 + 6.2

F= 363

In summary, the speed of the first train is 363 mph and the speed of the second train is 356.8 mph.

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Answer:

2/3 < 14/6

3/8 < 8/3

2 1/6 > 5/9

Answer:

Step-by-step explanation:

The simplified form of the expression (3/5)³  = 27/125

Step-by-step explanation:

The given expression is (3/5)³

3/5 is a proper fraction.

(3/5)³ can be written as,

(3/5)³ = 3³/5³

To find  3³ and 5³

3³ = 3*3*3 = 27

5³ =5*5*5 =125

The probability of a random probability of a random student being chosen who is a female and is not between the ages of 18 and 20 will be 0.06.

From the information, 53% of its students are male (M), 37% of its students are between the ages of 18 and 20 (A), and that 31% are both male and between the ages of 18 and 20.

Probability to females = 100% - 53% = 47%

Therefore, the probability of a random student being male or between the ages of 18 and 20 will be:

= 37% - 31%

= 6%

Therefore, the probability of a random student being female or between the ages of 18 and 20 will be 6%.

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The selling price of the bicycle in discuss upon addition of the mark-up which is 33.3% as described in the task content is; $131.63.

The wholesale cost price of the bicycle in discuss is $98.75 as described in the task content while the markup for the bicycle is as given in the task content.

On this note, it follows that the selling price of the bicycle is the sum of its cost price and it's mark-up. Hence, we have;

Selling price = $98.75 + (33.3% of $98.75)

= $98.75 + (0.333 × $98.75)

= 98.75 + 32.88

= $131.63.

Ultimately, selling price of the bicycle in discuss upon addition of the mark-up which is 33.3% as described in the task content is; $131.63.

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Answer:

A∩B = { 3 }

Step-by-step explanation:

A∩B means "the intersection of A and B" as in "all elements that appear in BOTH sets".

Only 3 appears in both sets.

Answer:

I never took the lesson but il try!

Step-by-step explanation:

so if y is 34° and x should be 54° if I am being correct!

The solutions after rounding the numbers are;

a. 80

b. 190

c.780

d. 90

What is Rounding number?

Rounding means making a number simpler but keeping its value close to what it was.

The questions are given as;

a. -28 - 53

b. 514 + -321

c. -888 - - 111.

d. -61.1 + -29.3

Now, solve and rounding the numbers as;

a. -28 - 53 = 81

After rounding it we get;

81 ≈ 80

Hence, -28 - 53 = - 80

b. 514 + -321 = 514 - 321

                   = 193

After rounding it we get;

⇒ 193 ≈ 190

Hence, 514 + -321 ≈ 190

c. -888- - 111 = - 888 + 111

                  = - 777 ≈

After rounding it we get;

- 777 ≈ - 780

d. -61.1 + -29.3 = -61.1 - 29.3

                      = - 90.4

After rounding it we get;

- 90.4 ≈ - 90

So, The solutions are;

a. 80

b. 190

c.780

d. 90

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Answer: 3/-4

The slope is measured in terms of rise over run. Rise is how many units you go up or down from the point (0, 0). Run is how many units you go left to right from the point where rise left off.  For this question, we go up 3 and to the left 4. SO that's a 3 on top and a -4 on the bottom.

I hope this helps! :) I'm a huge Algebra nerd!!! I love Algebra. :)

I think they're for posting questions

The equation that shows the amount Christa and Megan each had in sales in July is 630 + 0.03x = 609 + 0.035x

An equation is used to show the relationship between numbers and variables. An equation can be linear, quadratic depending on the degree.

Let x represent the amount Christa and Megan each had in sales in July. Hence:

For Christa = 18(35) + 0.03x

For Megan = 21(29) + 0.035x

630 + 0.03x = 609 + 0.035x

The equation that shows the amount Christa and Megan each had in sales in July is 630 + 0.03x = 609 + 0.035x

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The number of gallons that would be saved after the recycling 4 tons of paper would be 27, 812

Proportion can be defined as the mathematical comparison of two numbers.

It is also said to be an equation defining two given ratios as equivalent to each other.

From the information, we have that;

By recycling 1 ton of paper, 6, 953 gallons of water was saved

To determine the gallons of water that would be saved after recycling 4 tons of paper, we have to;

If 1 ton of paper = 6, 953 gallons of water

Then 4 tons of paper = x

cross multiply

x × 1 = 6953 × 4

multiply through

x = 27, 812 gallons

The number of gallons that would be saved after the recycling would be

27, 812 gallons

Thus, the number of gallons that would be saved after the recycling 4 tons of paper would be 27, 812

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The correct answer is 8 cm.

Given the surface area = 518 cm²

breadth of the cuboid = 11 cm

height of the cuboid = 9 cm

Now let l be the length of the cuboid,

The total surface area (TSA) of a cuboid is provided by the sum of the areas of its six rectangles, where l, b, and h are the length, width, and height, respectively

Cuboid's total surface area formula,

Thus the surface area of the cuboid = 2(lb+bh+lh)

518 = 2 ( l × 11 + 11 × 9 + l × 9 )

518 = 2 (11l + 99 + 9l)

259 = 11l +99 +9l

259 - 99 = 20 l

160/20 =l

length = 8 cm

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Answer:

6 trips

Step-by-step explanation:

divide by 3

17/3

5.66666666

now round it off and say 6

Answer:

Step-by-step explanation: the coat was reduced by 12 dollars for 3 months so take 12x3= 36. So the coat was reduced by 36 dollars.

Answer:

y=x+6

Step-by-step explanation:

First, write out the slope intercept equation.

y=mx+b

Ok, the first step for finding a linear equation is finding the y-intercept. The line crosses the y-axis at 6, so the y-intercept is 6. Plug that into the slope-intercept Equation:

y=mx+6

Then, slope is rise over run, and the line goes up 1 and right 1 to get to the next point, so divide those numbers.

1/1=1

Then plug that into your slope intercept equation:

y=1x+6

Since the one won't do anything, it will just be this:

y=x+6

The equations of each line are:

a. y = -3x + 3

b. y = -2/3x - 3

In slope-intercept form, the equation of a line is written as, y = mx + b, given that:

Note: the slope values of parallel lines are the same.

a. The slope of y = -3x - 1 is, -3. The line that is parallel to it will have the same slope (m) of -3.

Substitute m = -3 and (x, y) = (2, -3) into y = mx + b to find b:

-3 = -3(2) + b

-3 = -6 + b

-3 + 6 = b

3 = b

b = 3

Substitute b = 3 and m = -3 into y = mx + b

y = -3x + 3

b. Rewrite 2x + 3y = 6 in the slope-intercept form

3y = -2x + 6

y = -2/3y + 2

The slope of y = -2/3y + 2 is, -2/3. The line that is parallel to it will have the same slope (m) of -2/3.

Substitute m = -2/3 and (x, y) = (0, 5) into y = mx + b to find b:

5 = -2/3(0) + b

-3 = 0 + b

-3 = b

b = -3

Substitute b = -3 and m = -2/3 into y = mx + b

y = -2/3x - 3

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Answer: Find [tex]2^{21} = (2y)^{3}[/tex] then the solution of [tex]y^{3}[/tex] = [tex]2^{7}[/tex]

Step-by-step explanation:

Given data,

                     [tex]2^{21}[/tex] = [tex](2y)^{3}[/tex]

[tex](a^{m)^{n} }[/tex] = [tex]a^{m*n}[/tex] says that when you take a number, a , and multiply it by itself m times, then multiply that product by itself n times, it's the same as multiplying the number a by itself m * n times.

we can use formula,

                    [tex](a^{m)^{n} }[/tex] = [tex]a^{m} a^{n}[/tex]

So,

we can write,

                       [tex]2^{21}[/tex] = [tex]2^{3} y^{3}[/tex]

                        [tex](2^{7} )^{3}[/tex] = [tex]2^{3} y^{3}[/tex]

                          [tex]2^{7} 2^{3}[/tex] = [tex]2^{3} y^{3}[/tex]

cancel the [tex]2^{3}[/tex] in both sides,

Then,

                       [tex]2^{7}[/tex] = [tex]y^{3}[/tex]

Therefore,

                      [tex]y^{3}[/tex] = [tex]2^{7}[/tex]

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Answer:

The slope is 1

Step-by-step explanation:

(3-0)/(3-0) = 3/3 = 1

Answer:

Is there any more information than that? if there Is I might be able to help

Based on the results, the below  list shows a comparison of the overall performance of the portfolios, from best to worst:

Portfolio 2, Portfolio 3, Portfolio 1

What is weighted average ROR?

The weighted average ROR is the sum of rate of returns of the assets in the portfolio multiplied by the portion of the portfolio invested in each security

Portfolio 1:

total investment=$700+$2,575+$220+$1,000+$1,430

total investment=$5925

weighted average ROR=(-3.8%*$700/$5925+2.1%*$2575/$5925+11.3%*$220/$5925+5.8%*$1000/$5925+1.6%*$1430/$5925)

weighted average ROR=2.25%(third)

Portfolio 2:

total investment=$1,250+$1,700+$1,515 +$1,345+$1,675

total investment=$7485

weighted average ROR=(-3.8%*$1,250/$7485+2.1%*$1,700/$7485+11.3%*$1,515 /$7485+5.8%*$1,345/$7485+1.6%*$1,675/$7485)

weighted average ROR=3.53%(first)

Portfolio 3:

total investment=$1,025+$500+$790+$250+$2,500

total investment=$5065

weighted average ROR=(-3.8%*$1025/$5065+2.1%*$500/$5065+11.3%*$790/$5065+5.8%*$250/$5065+1.6%*$2,500/$5065)

weighted average ROR=2.28%(second)

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Based on the area of T, the area of U can be calculated to be 272 cm²

When you have an object that is enlarged and have the area of the object before it was enlarged, the area of the enlarged object is:

= Area of original object x Scale factor of enlargement ²

The scale factor is:

= Side of U / Corresponding side of T

= 12 / 3

= 4

The scale factor is 4.

The area of U is therefore:

= 17 x 4²

= 272 cm²

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James defines that an angle is a figure consisting of two rays.

The statement of James is not precise enough because he should specify that the rays must be collinear.

The two rays coming from the same point will form collinear rays which will form an angle at the end point. The common end point is the vertex of the angle. And each ray will known as an arm of an angle.

From the figure, we can see that the vertex is the corner of the angle, i.e.,  O is the vertex in the given figure.

OA and OB are the two arms of the angle. The line OB is also known as reference line which is the line where an angle is drawn.

Also, the line OA will be considered as terminal line. Terminal line is the side up to which an angle measurement done.

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Using a transformation of the parent function y = x², the graph of f(x) = (x + 5)² is given at the end of the answer.

Transformations in the graph of a function involve operations such as multiplication/division or sum/subtraction, either in the domain of the function, involving values of x, or the range, involving values of y.

Examples of transformations are as follows:

For this problem, the parent function is given by:

f(x) = x².

Which has a parabolic graph with vertex at (0,0).

For f(x) = (x + 5)², we have that x -> x + 5, meaning that the function is shifted 5 units left, meaning that the parabola has a vertex at (0,-5), and the graph is given at the end of the answer.

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Answer:4

5

÷

10

Rewrite the division as a fraction.

4

5

10

Multiply the numerator by the reciprocal of the denominator.

4

5

⋅

1

10

Cancel the common factor of

2

.

Tap for more steps...

2

5

⋅

1

5

Multiply

2

5

by

1

5

.

2

5

⋅

5

Multiply

5

by

5

.

2

25

The result can be shown in multiple forms.

Exact Form:

2

25

Decimal Form:

0.08

Step-by-step explanation:

The amount Reiko invested in x shares is 1,700,000 based on 8% annual dividend

How do represent the amounts invested in each share?

The fact that Reiko invested 200,000 more on x shares means that if we assume that he invested Z on y shares then the amount invested in x shares is Z+200000

return on x shares=(Z+200,000)*8%

return on x shares=0.08Z+16000

return on y shares=Z*9%=0.09Z

total return=0.08Z+16000+0.09Z

total return=0.17Z+16000

total earnings=271000

271000=0.17Z+16000

271000-16000=0.17Z

255000=0.17Z

Z=255000/0.17

Z=1,500,000

Z+200,000=1,500,000+200,000=1,700,000

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