Is 9/10 more than 78/100

The vertices after transformation are N′(1, 2), M′(−2, 1), O′(−1, 3).

We have,

N(−5, 2), M(−2, 1), O(−3 , 3).

We know the rule to reflect over a vertical line x =a is

(x, y) --> (-x-2a, y)

So, for x=2 the rule will be

(x, y) --> (-x-4, y)

Now, the vertices after transformation are

M(-2, 1) -> M'(-2, 1)

N(-5, 2) -> N'(1, 2)

O(-3, 3) -> O'(-1, 3)

Learn more about Transformation here:

https://brainly.com/question/29184180

#SPJ1

Answer:

Step-by-step explanation:

-119

Answer:

Step-by-step explanation:

As it was a non-liquidating distribution of investment land worth $510,000 to Topolino, it reduces his stock basis by the same amount, resulting in a negative basis of ($40,000) after the distribution. The answer is (b) ($40,000).

The distribution of the investment land with a fair market value of $510,000 to Topolino is a non-liquidating distribution, which means that it reduces Topolino's stock basis by the amount of the distribution ($510,000).

Topolino's basis in the stock immediately after the distribution will be the sum of his basis in the stock before the distribution ($470,000) minus the amount of the distribution ($510,000), which results in a negative basis of ($40,000). The correct answer is (b) ($40,000).

To know more about stock:

https://brainly.com/question/29992015

#SPJ1

Being a student and preferring logo A are dependent events.

We have,

Being a student and preferring logo A are not independent events because they are related to each other.

If a student prefers logo A, then they belong to the group of students who prefer logo A.

On the other hand, if a student belongs to a different group, such as the group of students who prefer logo B or are undecided, then they cannot be said to prefer logo A.

In general, two events are considered independent if the occurrence of one event does not affect the probability of the other event occurring.

However,

In this case, knowing whether someone is a student does affect the probability of them preferring logo A.

Thus,

Being a student and preferring logo A are dependent events.

Learn more about independent events here:

https://brainly.com/question/30905572

#SPJ1

When x = 7, what is the second coordinate in a scatter plot is: D. 112.8.

The approximate value x=4 to the nearest whole number is; C. 1,168.

In this scenario, the x-values would be plotted on the x-axis (x-coordinate) of the scatter plot while the y-values would be plotted on the y-axis (y-coordinate) of the scatter plot through the use of Microsoft Excel.

On the Microsoft Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an exponential equation for the line of best fit (trend line) on the scatter plot.

From the scatter plot (see attachment) which models the relationship between the x-values and y-values, an exponential equation for the line of best fit is given by

[tex]y = 31.86e^{0.18x}[/tex]

when x = 7, the second coordinate in this scatter plot is given by;

[tex]y = 31.86e^{0.18(7)}[/tex]

y = 112.8

logy = 0.75821x+0.03442

logy = 0.75821(4) +0.03442

logy = 3.03284 +0.03442

logy = 3.06726

y = log⁻¹(3.06726)

y = 1167.5084 ≈ 1,168

Read more on scatter plot here: brainly.com/question/28605735

#SPJ1

The probability that exactly 3 out of 4 people chosen at random favor the new building project is 0.2904.

This problem can be solved using the binomial probability formula. Let X be the number of people who favor the new building project out of the 4 chosen at random. Then X follows a binomial distribution with parameters n = 4 and p = 0.45.

The probability of having exactly k people who favor the new building project out of 4 is given by:

P(X = k) = (4 choose k) * [tex]0.45^{k}[/tex] * [tex]0.55^{4-k}[/tex]

where (4 choose k) is the binomial coefficient.

To find the probability that exactly 3 of the 4 people favor the new building project, we substitute k = 3 in the above formula and evaluate:

P(X = 3) = (4 choose 3) * [tex]0.45^{3}[/tex] * [tex]0.55^{1}[/tex]

= 0.290384375

To learn more about probability here:

https://brainly.com/question/30034780

#SPJ1

Answer:

The height of the desk is 8 cubic inches.

Hope this helps!

Step-by-step explanation:

The formula for the volume of a rectangular prism is Width × Length × Height or Base × Height.

Because the Base is already given ( 400 in² ), that means the height of the desk can be found by dividing 3200 by 400.

3200 ÷ 400 = 8

The height of the desk will be 8 cubic inches.

The equation to calculate an object's speed is Speed = Distance ÷ Time.

Option A is the correct answer.

We have,

Speed is the ratio of distance and time.

Mathematically,

It can be written as,

Speed = Distance / Time

Speed = Distance ÷ Time

Thus,

The equation to calculate an object's speed is Speed = Distance ÷ Time.

Learn more about speed here:

https://brainly.com/question/7359669

#SPJ1

In the context of this problem all the solutions to the polynomial equation is correct because they all make sense.

The given polynomial equation  can be expressed as ;

x³ + 6x² - 40x = 192 and the given solutions can be written as ; x = -8, x = -4, and x = 6

We can test if the solution is the best for the given euation because this will help us to know if these valueas are the solution for the equation

x = -8

[(-8)³ + 6(-8)² - 40(-8)]

= 192

[-512 + 384 + 320]

= 192

x = -4,

[(-4)³ + 6(-4)² - 40(-4)]

[-64 + 96 + 160 ]

= 192

x = 6

[(6)³ + 6(6)² - 40(6) ]

216 + 216 - 240

= 192

Learn more about polynomial equation at:

https://brainly.com/question/19837586

#SPJ1

Answer:

Step-by-step explanation:

A,B

x = –8

x = –4

If the helicopter flies 200 mph from the station nearest, the time it will it take to reach the ship is 0.52 hours

The numerical measurement between two entities or locations is defined as the distance, recorded in units such as kilometers, feet, meters, and miles. Determining the direct geometric line from point to point requires distinct models of calculation for both 2D and 3D geometry, most notably utilizing the Pythagorean theorem or the distance formula, respectively.

Physical sciences heavily rely on this notion, as it aids with computing rates that include: displacement, velocity, and acceleration. However, multiple factors - involving speed, direction, and time - can alter measured distances traveled by an object.

Read more about distance here:

https://brainly.com/question/2854969

#SPJ1

According to the given function.

There were approximately 24.9 million international Netflix subscriptions in the year 2012.

There were approximately 167.7 million international Netflix subscriptions in the year 2020,

We have,

a.

Since the function N(x) gives the number of international Netflix subscriptions x years after 2012, to find the number of Netflix subscriptions in the year 2012,

We need to set x = 0.

So,

N(0) = 24.9(1.736)^0

       = 24.9 million

b.

To estimate the number of Netflix subscriptions in the year 2020, we need to set x = 8 (since 2020 is 8 years after 2012).

N(8) = 24.9(1.736)^8

       =  167.7 million

Thus,

According to the given function.

There were approximately 24.9 million international Netflix subscriptions in the year 2012.

There were approximately 167.7 million international Netflix subscriptions in the year 2020,

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ1

7 + 4 = 11 kites

So you add the kites together because they ask you how much Khalid and Annie got together.

The solution is, the simplification of the expression is:

{16 - 9x^2 + 14x}

Here, we have,

given that,

the expression:

{√49 + [√81 - x (9x - 14)]}

now, we have to simplify this expression:

{√49 + [√81 - x (9x - 14)]}

={7 + [9 - x (9x - 14)]}

={7 + [9 - 9x^2 + 14x]}

={7 +9 - 9x^2 + 14x}

={16 - 9x^2 + 14x}

Hence, The solution is, the simplification of the expression is:

{16 - 9x^2 + 14x}

To know more about expression follow

brainly.com/question/723406

#SPJ1

The recursive relation of the data distribution a(n) = a ( n - 1 ) x n - ( n - 1 ).

A sequence of values is defined by a mathematical equation termed as a recursive relation, also known as recursive relation. It derives current value(s) through specified initial value(s) and previous value dependent rule(s). In essence, it generates numeric sequences.

Note that every individual unit can be derived by multiplying the preceding one with a rising integer, and subsequently subtracting a descending integer:

1 x 1 - 0 = 1

1 x 2 - 1 = 1

1 x 3 - 2 = 5

5 x 4 - 3 = 17

17 x  5 - 4 = 71

71 x 6 - 5 = 247

We can deduce the relation of a(n) = a ( n - 1 ) x n - ( n - 1 ).

Find out more on recursive relations at https://brainly.com/question/4082048

#SPJ1

The height and width of the prism are x and 3x - 2

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

V(x) = 3x^3 + x^2 - 2x + 3

Length = x + 1

This means that

Side area = Volume/Length

So, we have

Side area = (3x^3 + x^2 - 2x + 3)/(x + 1)

When evaluated, we have

Side area = 3x^2 - 2x + 3/(x + 1)

Ignoring the remainder, we have

Side area = 3x^2 - 2x

Factorize

Side area = x(3x - 2)

This means that

height = x and width = 3x - 2

Read more about polynomial at

https://brainly.com/question/7693326

#SPJ1

The volumes of the following shapes include:

728.00 m³.

135.78 yd³.

1260.00 cm³.

452.39 in³.

1344.00 m

1. Pyramid:

The formula for the volume of a pyramid is:

V = (1/3) × B × h

where B is the area of the base and h is the height.

For a pyramid with a rectangular base, the area of the base is:

B = l × w

where l and w are the length and width of the base, respectively.

Using the given measurements:

l = 13 m

w = 8 m

h = 21 m

Therefore, the area of the base is:

B = l × w = 13 m × 8 m = 104 m²

And the volume of the pyramid is:

V = (1/3) × B × h = (1/3) × 104 m² × 21 m ≈ 728 m³

Rounded to the nearest hundredth, the volume of the pyramid is 728.00 m³.

2. Cylinder:

The formula for the volume of a cylinder is:

V = πr²h

where r is the radius of the base and h is the height.

Using the given measurements, we have:

r = 3.5 yd / 2 = 1.75 yd

h = 10 yd

Therefore, the volume of the cylinder is:

V = πr²h = π × (1.75 yd)² × 10 yd ≈ 135.78 yd³

Rounded to the nearest hundredth, the volume of the cylinder is 135.78 yd³.

3. Cuboid:

The formula for the volume of a cuboid is:

V = l × w × h

Using the given measurements, we have:

l = 14 cm

w = 18 cm

h = 5 cm

Therefore, the volume of the cuboid is:

V = l × w × h = 14 cm × 18 cm × 5 cm = 1260 cm³

Rounded to the nearest hundredth, the volume of the cuboid is 1260.00 cm³.

4. Cone:

The formula for the volume of a cone is:

V = (1/3) × πr²h

where r is the radius of the base and h is the height.

Using the given measurements:

r = 12 in / 2 = 6 in

h = 37 in

Therefore, the volume of the cone is:

V = (1/3) × πr²h = (1/3) × π × (6 in)² × 37 in ≈ 452.39 in³

Rounded to the nearest hundredth, the volume of the cone is 452.39 in³.

5. Prism:

The formula for the volume of a prism is:

V = Bh

where B is the area of the base and h is the height.

Using the given measurements:

B = 6 m × 16 m = 96 m²

h = 14 m

Therefore, the volume of the prism is:

V = Bh = 96 m² × 14 m = 1344 m³

Rounded to the nearest hundredth, the volume of the prism is `1344.00 m

Find out more on shapes here: https://brainly.com/question/28008161

#SPJ1

Answer:

6600 is the answer

Step-by-step explanation:

The area of the enclosed region is  16√2 - 8 squared units

We have,

The region enclosed between the curves y = 4 sin(x) and y = 4 cos(x) from x = 0 to x = 0.9π consists of two parts, one above the x-axis and one below the x-axis. We can find the area of each part separately and then add them to get the total area.

First, let's find the x-coordinates of the points where the curves intersect. These are the points where 4 sin(x) = 4 cos(x), or sin(x) = cos(x), which occurs when x = π/4 + kπ/2 for any integer k. Since we are only interested in the intersection points between x = 0 and x = 0.9π, we only need to consider the case k = 0. So the intersection point is x = π/4.

Now, let's consider the part of the region above the x-axis. We need to find the area between the curves y = 4 sin(x) and y = 4 cos(x) from x = 0 to x = π/4. This is given by the integral:

A1 = ∫[0, π/4] (4 sin(x) - 4 cos(x)) dx

Using the identities sin(x) = cos(x - π/2) and cos(x) = sin(x + π/2), we can rewrite this as:

A1 = ∫[0, π/4] (4 sin(x) - 4 sin(x + π/2)) dx

 = ∫[0, π/4] (4 sin(x) + 4 sin(x)) dx   (since sin(x + π/2) = sin(x))

 = 8 ∫[0, π/4] sin(x) dx

 = 8 [-cos(x)] [0, π/4]

 = 8 (1 - 1/√2)

 = 8√2 - 8

Next, let's consider the part of the region below the x-axis. We need to find the area between the curves y = 4 cos(x) and y = 4 sin(x) from x = π/4 to x = 0.9π. This is given by the integral:

A2 = ∫[π/4, 0.9π] (4 cos(x) - 4 sin(x)) dx

Using the identities sin(x) = cos(x - π/2) and cos(x) = sin(x + π/2), we can rewrite this as:

A2 = ∫[π/4, 0.9π] (4 cos(x) - 4 cos(x - π/2)) dx

 = ∫[π/4, 0.9π] (4 cos(x) + 4 sin(x)) dx   (since cos(x - π/2) = sin(x))

 = 4 ∫[π/4, 0.9π] (2 cos(x) + 2 sin(x)) dx

 = 4 [2 sin(x) - 2 cos(x)] [π/4, 0.9π]

 = 4 (2/√2 + 2) - 4 (1 - 1/√2)

 = 8√2

So the total area of the region enclosed between the curves y = 4 sin(x) and y = 4 cos(x) from x = 0 to x = 0.9π is:

A = A1 + A2

A = 8√2 - 8 + 8√2

A = 16√2 - 8 squared units

Learn more on area of an enclosed region here;

brainly.com/question/29187598

#SPJ1

Answer:y=4/3x-14/3

Step-by-step explanation:

1. Find the slope of the original line

3/4x-y=7/2

-y=-3/4+7/2

y=3/4x-7/2

2. Using this find the negative reciprocal

3/4 -------- -4/3

3. Now insert -2,-2 in the equation y=-4/3x

-2=-4/3(-2)

-2=8/3

4. Find the needed intercept to make true.

-2=8/3-14/3

Therefore, y=-4/3x-14/3

Answer:

KL=45

Step-by-step explanation:

Step-by-step explanation:

If radius is 8cm    then diameter =  16 cm

circumference of a circle = pi * d = pi * 16 cm = ~ 50.27 cm

The value of expression √6 would be,

⇒ √6 = 2.4

We have to given that;

To find the value of number √6.

Now, We get;

⇒ √6 = 2.44

⇒ √6 = 2.4

Thus, The value of expression √6 would be,

⇒ √6 = 2.4

Learn more about the rational numbers visit:

https://brainly.com/question/12088221

#SPJ1

Answer: To solve for x in the equation x/9 = 7/15, we can cross-multiply to get:

15x = 9 * 7

Simplifying the right side, we get:

15x = 63

To solve for x, we can divide both sides by 15:

x = 63/15

Simplifying the fraction on the right side, we get:

x = 4 3/5 or x = 4.2 (rounded to one decimal place)

Therefore, the solution to the equation x/9 = 7/15 is x = 4.2 or x = 4 3/5.

Step-by-step explanation: kinda easy ngl lol but hope this helps :D

The coordinates of the vertices for the image triangle after a translation 3 units up are A'(-3, 6), B'(0, 10), and C'(-3, 3). (option b)

Let's first visualize the given triangle ABC with vertices at A(-3, 3), B(0, 7), and C(-3, 0). We can plot these points on a coordinate plane and connect them to form the triangle. Now, let's consider the translation that moves the triangle 3 units up. This means that we need to add 3 to the y-coordinate of each vertex to get the coordinates of the image.

So, the coordinates of the vertices of the image triangle, let's call it A'B'C', will be:

A' = (-3, 3+3) = (-3, 6)

B' = (0, 7+3) = (0, 10)

C' = (-3, 0+3) = (-3, 3)

Now, we can plot these points and connect them to form the image triangle A'B'C'. We can see that the image triangle is simply the original triangle translated 3 units up.

Hence the correct option is (b).

To know more about triangle here

https://brainly.com/question/8587906

#SPJ1

Answer:

Option B

Step-by-step explanation:

Answer:

2 students play both

Step-by-step explanation:n(u)=28

n(b)=7,n(b)=5,n(who play neither sport)=18

HERE,

n(u)=n(b)+n(b)-n(BnB)+n(who play neither sport)

28=7+5-n(BnB)+18

28=30-n(BnB)

n(BnB)=30-28

 =2 answer

Answer:

The answer to your problem is, D. The range is the best measure of variability, and it equals 32.

Step-by-step explanation:

We know the scores earned in a flower-growing competition are represented in the stem-and-leaf plot.

The key will equal 2|1 means 21

Which we conclude to 17, 19, 21, 25, 29, 30, 31, 32, 46, 49.

Quartile:

Median, Minimum, Maximum, & Range:

Thus the answer to your problem is, D. The range is the best measure of variability, and it equals 32.

The information from the histogram are as follow,

Students exercised for 4 or more hours are 14.

Students exercised for 9 or fewer hours are 13.

Mean of the data = 7.3.

median of the data = 6.33.

The histogram provides information about the distribution of hours students spent exercising in a week.

The number of students who exercised 4 hours or more,

= adding up the counts in the first and second bins.

= 9 + 5

= 14 students

The number of students who exercised 9 hours or fewer,

= adding up the counts in the first and second bins

= 9 + 4

= 13 students

The mean hours of exercise is not provided by the histogram

use the formula,

Mean = Σ[tex]x_{i} y_{i}[/tex] / N

where

[tex]x_{i}[/tex] is the midpoint of the ith bin

[tex]y_{i}[/tex] is the frequency of the ith bin

N is the total sample size

Mean = [(2)(4)  + (7)(9) + (12)(5)] / 18

          = 7.3

The median hours of exercise is not provided by the histogram.

Median = L + ( (n/2 – F) / f ) × w

where

L=The lower limit of the median group

n = The total number of observations

F = The cumulative frequency up to the median group

f =The frequency of the median group

w = The width of the median group

median = 5 + ( ( 14/2 - 4 ) /9 × 4

             = 6.33

Therefore, from the histogram the number of students exercised for ,

4 hours or more are 14.

9 hours or fewer are 13.

mean = 7.3

Median = 6.33

learn more about histogram here

brainly.com/question/9696858

#SPJ1

You would have an open circle. A way to remember it is that < and > is open and ≥ and ≤ mean closed circle. A way to also remember which way to go is remembering this cool strategy.

<ess than

>greater than

Less means left. Greater means right. So your graph would look like something along the lines of:

Answer:

V = π(5^2)(11) = 275π cubic miles

= 863.9 cubic miles