Fluffy the bunny ate 1/2 of a carrot in the morning, and he ate some more at night. By the end of the day, he still had 1/3 of the carrot left to eat. How much of the carrot did Fluffy the bunny eat at night?

Step-by-step explanation:

hope it helps you understand

½ 0r 50% is the probability that the student studies Art and biology.

Probability is a branch of mathematics that deals with the occurrence of a random event . i.e. Probability  means possibility.

According to the question,

Total number of students in the group;

n = 25 students

No. of students that study both art and biology;

n(P u Q) = 6

No. of students that study biology but not art;

n(Q u P') = 10

No. of students that study none of the 3 subjects;

n(P' u Q') = 3

So,

No. of students that study only arts is;

n(P n Q') = 25 - 6 - 10 - 3 = 6

Since,  n(P u Q) = 6

Therefore by using formula;

n(P) = n(P u Q) + n(P n Q')

n(P) = 6 + 6

n(P) = 12

Hence,

Probability of the students who studies Art and biology is;

P(P n Q) = [tex]\frac{6}{12}[/tex]

P(P n Q) = ½  i.e. 50%

The probability the student study art & biology ½  i.e. 50%.

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The Area of carpet for the given dimension is 72m².

Area of rectangle is the region occupied by a rectangle within its four sides or boundaries. The area of a rectangle depends on its sides.

Let the width of the room w = x m

     and the length, L = 1.5x

Length of carpet + 6 = length of room

2(x-6)+6=1.5x

2x-12+6=1.5x

0.5x=6

  x = 6 / 0.5

  x = 12

length of room x = 12 m

width of room = 18 m

18-6 by 12-6    =    12 by 6 dimensions of carpet

Area of carpet = 12 X 6=72 m²

Thus, the Area of carpet for the given dimension is 72m².

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[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: f = \cfrac{9}{a}+7[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \:a = \cfrac{9}{f - 7} [/tex]

[tex]\qquad \tt \rightarrow \:a(f - 7) = 9[/tex]

[tex]\qquad \tt \rightarrow \:(f - 7) = \cfrac{9}{a}[/tex]

[tex]\qquad \tt \rightarrow \:f = \cfrac{9}{a} + 7[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

The distance traveled is 62.8 inches.

We know that the gear is rigidly attached to the center of the wheel. This means that in one complete rotation of the gear, we also have a complete rotation of the wheel.

Then the distance that the bicycle travel with a single rotation of the gear is equal to the circumference of the wheel, which is:

C = 2*pi*R

Where pi = 3.14 and R is the radius, which we know is 10inches.

Then:

C = 2*3.14*10in = 62.8in

The distance traveled is 62.8 inches.

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Answer:

A = -12

B = -8

C = -4

Step-by-step explanation:

[tex]y=2x-8[/tex]

x = -2

[tex]y=2(-2)-8=-4-8=-12[/tex]

A = -12

x = 0

[tex]y = 2 (0)-8=-8[/tex]

B = -8

x = 2

[tex]y = 2 (2) -8 = 4-8 = -4[/tex]

C = -4

Hope this helps

A number written in scientific notation has a Negative Exponent that indicates the digits used in the number and is always written with 1 digit to the left of the decimal place.

The coefficient is always a number larger than or equal to one and less than ten in scientific notation. There is an integer exponent. When using scientific notation to write integers bigger than ten

As a result, when a number is smaller than 1, it will have a negative exponent in scientific notation.

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Answer:

100

Step-by-step explanation:

The square root of 10000 can be written as (10000)1/2. Thus,

(10000)^/2 = (100 × 100)^1/2

(10000)^1/2 = [(100)2]^1/2

(10000)^1/2 = (100)^2/2

(10000)^1/2 = (100)^1

So,

√10000 = 100

The correct answer is option C which is the given expression is cubic.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given expression

5x³ + 2x − 3

The cubic expression is one in which the highest power of the variable is three or we can say that the degree of the expression is three so the expression will have three solutions.

Therefore the correct answer is option C which is the given expression is cubic.

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Answer:

the right answer is the first one

2x+2 over x >0

This is not a good minimum quota for this survey. For us to have a good minimum quota, there must be equality. i,e 50% for cell phone respondents and 50% for landline respondents.

Survey methodology is the study of the sampling of discrete units or groups from a population and the procedures used to gather survey data, including the design of questionnaires and approaches for increasing survey response rates and precision.

A good minimum quota for this survey should be 50% for cell phone respondents and 50% for landline respondents.

It implies that the quota for cell phone respondents should be 10% lower and 10% higher for landline respondents.

For us to answer Part D, kindly provide or repost the complete question since we cannot see any link added.

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The years in which Tina's raise was more than $0.50 an hour over the previous year are

2002

2004

2005

2006

2007

From the question, we are to determine the years in which her raise was more than $0.50 an hour over the previous year

Considering the graph

Her raise was $6.50 - $5.50 = $1.00

Her raise was $7.00 - $6.50 = $0.50

Her raise was $7.75 - $7.00 = $0.75

Her raise was $8.50 - $7.75 = $0.75

Her raise was $10.50 - $8.50 = $2.00

Her raise was $11.50 - $10.50 = $1.00

Hence, the years in which Tina's raise was more than $0.50 an hour over the previous year are

2002

2004

2005

2006

2007

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Answer:

(10+4/2, 6+9/2)

(7, 7.5)

The Midpoint is (7, 7.5)

Step-by-step explanation:

I just added the x values and divided them by 2 and then the same for the y values.

Answer:

(7,7.5)

Step-by-step explanation:

midpoint formula:

(X1,X2) divided by two and (Y1,Y2) also divided by two.
so you get

10+4/2 and 6+9/2

Add it all up you get

14/2 and 15/2

divide it:

(7,7.5)

Answer: 1

Step-by-step explanation:

[tex]2x-\sqrt{5}=2x^{1}-\sqrt{5}[/tex], and thus the highest exponent of x is 1

Answer:

A

Step-by-step explanation:

both numbers are negative, you can rearrange them in any order provided you keep the sign

Reason:

An expression in the form -a-b is the same as -a + (-b)

Recall we can add two numbers in any order we want. For instance, 2+3 = 3+2 since both sides are equal to 5. This is the commutative property of addition.

Therefore, the -a + (-b) is the same as -b + (-a) which in turn becomes -b - a

In short:  -a - b = -b - a

This rule lets us say that -71n - 29 = -29 - 71n

Answer:

Subtraction will happen in this case.
14ft-5ft= 9ft
10 inches-8 inches= 2 inches
So, it grew 9ft. and 2 inches.

Answer: None of the above

Step-by-step explanation:

Complementary Angles add up to 90

Supplementary Angles add up to 180

Parallel Angles are Supp., Comp., or Congruent

If I am driving the train , the colour of the eye will be my eye colour.

The questions that do not need critical reasoning while only need logical thinking to find the answer.

It is given that the "If you are driving a train and your going over 180 mph, and you pass 20 houses, 10 stores, 3 gas stations, and 1 hospital per every ten minutes"

If I am driving the train , the colour of the eye will be my eye colour.

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Answer: Since they have the some points in common we can just plot them and seeing ang. DBC would just be a straight line and angle ABC would be 90 degrees and half of that angle so they would be equal

Answer:

a: 1
b: -1
c: -3

Step-by-step explanation:

You can rearrange the terms and make the equation become:
x - y - 3
There, you can see that the values are the following:
a: 1
b: -1
c: -3

The unit rate of change of y with respect to x is less in the graph

The attached graph represents the missing information in the question

The graph passes through the following points

(0,0) and (5,1)

The rate of change of the graph is then calculated as:

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

This gives

[tex]m = \frac{1-0}{5-0}[/tex]

Evaluate

m = 0.2

The equation is given as:

y = 6.5x

The slope of the above equation is 6.5

By comparison, 6.5 is greater than 0.2

Hence, the unit rate of change of y with respect to x is less in the graph

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Answer:

The equation

Step-by-step explanation:

i did it on khan academy

The equivalent expression is: .[tex]3\frac{3}{8}[/tex]

An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division)

Given:

(- 2 1/4)/(- 2/3)

=-9/4÷ (-2/3)

= -9/4 * (-3/2)

= 27/8

= [tex]3\frac{3}{8}[/tex]

Hence, the equivalent fraction is [tex]3\frac{3}{8}[/tex].

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The coordinates of the image of point B after the triangle is rotated 270° about the origin is (4, 2)

The complete question is added as an attachment

From the attached image, we have the following coordinate

B = (-2, 4)

When the triangle is rotated by 270 degrees, the rule of rotation is:

(x, y) ⇒ (y, -x)

For point B, we have:

B' = (4, 2)

Hence, the coordinates of the image of point B after the triangle is rotated 270° about the origin is (4, 2)

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2400 - 40x = 600

As she has not studied 600 flashcards still, we subtract unit rate from total.

40x - 600 = 2400

Here 'x' represent per hour. As he rents studio space for 600, subtracting this from total he earns by charging his students gives us the profit.

(600 + 40)x = 2400

Here 'x' represent mass. As masses are same for both. They can be joined.

Step-by-step explanation:

[tex] = {3}^{0} \times {3}^{ - 3} [/tex]

[tex] = 1 \times \frac{1}{ {3}^{3} } [/tex]

[tex] = \frac{1}{3 \times 3 \times 3} [/tex]

[tex] = \frac{1}{27} [/tex]

Answer:

The third graph

Step-by-step explanation:

The third graph depicts the function f(x) = -1/2x because for every 1 unit decrease along the y-axis, you travel 2 units on the x-axis.

Also, the two points on the third graph can satisfy the equation.

Point 1: (-2,1)

f(-2) = (-1/2)(-2)

f(-2) = 1

Point 2: (0,0)

f(0) = (-1/2)(0)

f(0) = 0

Using the vertex of a quadratic function, it is found that:

a) The revenue is maximized with 336 units.

b) The maximum revenue is of $56,448.

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

Considering the coefficient a, we have that:

The demand function is given by:

p(x) = 336 - 0.5x.

Hence, the revenue function is:

R(x) = xp(x)

R(x) = -0.5x² + 336x.

Which has coefficients a = -0.5, b = 336.

Hence, the value of x that maximizes the revenue, and the maximum revenue, are given, respectively, as follows:

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Answer:

I believe the answer would be option D

Step-by-step explanation:

the distance formula is

[tex] \sqrt{(x - x1)^{2} + (y - y1)^{2} } [/tex]

So, substituting the values of the coordinates, you will get the answer of D

Answer:

The answer is 2

p³ = 8

p = ³√8

p = 2.