Use a tree diagram to find how many ways you can arrange the letters in the word FARM.
A) 16
B) 24
C) 256
D) 12

The degree of the polynomial will be equal to 3 for the given data.

polynomial an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).

The highest exponent of a polynomial function is the degree, which specifies the maximum number of solutions a function can have and the maximum number of times a function will cross the x-axis when graphed.

So in the given function the highest power of the variable is three so the

degree of the polynomial will be equal to 3 for the given data.

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You plan to construct a brick wall measuring 14.5 ft. in length, 5.5 ft. high, and 0.5 ft. in width. If a brick measures 6 in. x 4 in. x 2 in. you will need 3,240 bricks.

The volume of the cuboid is the product of the length, breadth, and height of the given prism.

Volume of cuboid = (length x width x height)

We have given that

Dimensions of a brick wall is given by

Length = 14.5 feet

Width = 0.5 feet

Height = 5.5 feet

Dimensions of a brick is given by

Length = 6 inch

Width = 4 inch

Height = 2 inch

First of all, we will convert the dimensions of a wall from feet into inches.

1 feet = 12 inch

15 feet = 12*15 inch = 180 inch

6 feet = 12*6 inch = 72 inch

We know that volume of a brick wall will be equal to the volume of 'n' bricks, so we can set an equation;

The volume of a brick wall = the volume of 'n' bricks

180 x 72 x 12 = n x 6 x 4 x 2

155520 = n x 48

n = 3240

Therefore, you will need 3,240 bricks.

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Answer:

(a)  As time increases, the amount of water in the pool increases.

     11 gallons per minute

(b)  65 gallons

Step-by-step explanation:

From inspection of the table, we can see that as time increases, the amount of water in the pool increases.

We are told that Ann adds water at a constant rate.  Therefore, this can be modeled as a linear function.  

The rate at which the water is increasing is the rate of change (which is also the slope of a linear function).

Choose 2 ordered pairs from the table:

[tex]\textsf{let}\:(x_1,y_1)=(8, 153)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(12,197)[/tex]

Input these into the slope formula:

[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{197-153}{12-8}=\dfrac{44}{4}=11[/tex]

Therefore, the rate at which the water in the pool is increasing is:

11 gallons per minute

To find the amount of water that was already in the pool when Ann started adding water, we need to create a linear equation using the found slope and one of the ordered pairs with the point-slope formula:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]\implies y-153=11(x-8)[/tex]

[tex]\implies y-153=11x-88[/tex]

[tex]\implies y=11x-88+153[/tex]

[tex]\implies y=11x+65[/tex]

When Ann had added no water, x = 0.  Therefore,

[tex]y=11(0)+65[/tex]

[tex]y=65[/tex]

So there was 65 gallons of water in the pool before Ann starting adding water.

#a

Take 2 points

Slope=Rate of water flow

The water increases with respect to time as slope is positive.

It's

#2

We need amount of water when time is 0

So

Let that be y and point is (0,y) and comaparing with (8,153)

The difference in what you would pay in taxes is $16,706.55

The given parameters are:

The difference in tax is:

Difference = 2.4% - 0.27%

Evaluate

Difference = 2.13%

The amount is then calculated as:

Amount = 2.13% *  $784,345

Evaluate

Amount = $16,706.55

Hence, the difference is $16,706.55

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Answer:

Step-by-step explanation:

HOPE ITS HELP

Answer:

x = -7 and x = 5

Step-by-step explanation:

First, make the problem easier by taking out the common factor (6).

6x² - 12x - 210 -----> 6(x² - 2x - 35)

What two numbers multiply to -35 and add to -2? These two numbers are -7 and 5. You can now write the factored form of the expression.

6(x² - 2x - 35) -----> 6(x - 7)(x + 5)

Finally, find the x's by making each term with x equal to zero.

x + 7 = 0 -----> x = -7

x - 5 = 0 ----->  x = 5

The x's are x = -7 and x = 5

[tex]~~~~~~~a(2y+3z) = d(2x+3y)\\\\\implies 2ay+3az= 2dx+3dy\\\\\implies 2ay -3dy = 2dx -3az\\\\\implies (2a-3d)y = 2dx-3az\\\\\implies y = \dfrac{2dx-3az}{2a-3d}~~~~~~~~~~~~;[2a-3d \neq 0][/tex]

Answer:

B

Step-by-step explanation:

Answer:

3 vertices

Acute

Step-by-step explanation:

Question

Three polygons are still use the drop-down menus to describe the polygons use a protractor click the protractor button below

answer: 3 vertices first drop down

acute second drop down

The surface area of the cube-shaped wooden chest which has the side edges of 4 feet shown is 96 square inches.

Surface area of cube is the sum of the area of each face by which it is enclosed. The surface area of cube can be calculated with the following formula;

[tex]A=6a^2[/tex]

Here, (a) is the length of side of the cube.

You want to stain the lateral faces of the wooden chest shown. Find the area that you want to stain in square inches.

A cube-shaped wooden chest with side edges of 4 feet. Thus the surface area of it is,

[tex]A=6a^2\\A=6(4)^2\\A=96\rm\; ft^2[/tex]

Thus, the surface area of the cube-shaped wooden chest which has the side edges of 4 feet shown is 96 square inches.

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The expected value for the given experiment is:

E = -0.5

For an experiment with the possible events {x₁, x₂, ..., xₙ}, each with the correspondent probability {p₁, p₂, ..., pₙ}, the expected value is defined as:

E = x₁*p₁ + ... + xₙ*pₙ

In this case, all the probabilities are equal to 1/6 (assuming that the dice is fair), then we have:

E = (1/6)*(1 - 2 + 3 - 4 + 5 - 6) = (1/6)*(-3) = -0.5

We conclude that the expected value for the experiment is -0.5

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Answer:

B) -0.5

Step-by-step explanation:

The magnitude of the vector v is 5, while the direction of the vector v from the positive x-axis is 135°.

In physics, a vector is a quantity that has both magnitude and direction. It is often represented by an arrow with the same direction as the amount and a length proportionate to the magnitude of the quantity. A vector, although having magnitude and direction, does not have a location.

Given the value of the vector v is 5(cos135° i + sin135° j). Therefore, The magnitude of the vector v is 5, while the direction of the vector v from the positive x-axis is 135°.

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Answer:

8.4 x 10

Step-by-step explanation:

Scientific notation

Answer:

8.4 x 10^1

You do not have to use the 1st power that is just the official way of writing it  :)

Step-by-step explanation:

scientific notations

Ratio of mild wings to hot wings

=3:2

3+2=5

mild wings = 90/5×3

=54

hot wings =90/5×2

=36

The value of cos(z), when the sides of the triangle are WX is 6, XY is 8 and WY is 10, is 0.8.

In a right angle triangle, the ratio of the opposite side to the base side is equal the tangent angle made opposite to the opposite side.

[tex]\tan \theta =\dfrac{b}{a}[/tex]

Here, (b) is the opposite side, (a) is the base side.

The two similar right angle triangle are shown in the image in which  WX=6, XY=8, WY=10.

For the similar triangle, the ratio of two sides of a triangle is equal to the ratio of corresponding sides of the other triangle. Thus,

[tex]\dfrac{YZ}{WY}=\dfrac{XY}{WX}\\\dfrac{YZ}{10}=\dfrac{8}{6}\\YZ=\dfrac{8}{6}\times10\\YZ=13.33[/tex]

By the right angle property,

[tex]\tan Z=\dfrac{WY}{YZ}\\Z=\tan^{-1}( \dfrac{10}{13.33})\\Z=36.9^o[/tex]

The value of cos(Z) is,

[tex]\cos Z=\cos 36.9\\\cos Z=0.8[/tex]

Thus, the value of cos(z), when the sides of the triangle are WX is 6, XY is 8 and WY is 10, is 0.8.

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Answer:

3x^2 - x - 2 (simplified)

3x^2 - x = 2 (standard form)

Step-by-step explanation:

Answer:

[tex]3x^2 - x - 2[/tex]

Step-by-step explanation:

Step 1:  Combine like terms

[tex](2x^2- 4x + 5) + (x^2 + 3x - 7)[/tex]

[tex]2x^2 - 4x + 5 + x^2 + 3x - 7[/tex]

[tex](2x^2 + x^2) + (-4x + 3x) + (5 - 7)[/tex]

[tex]3x^2 - x - 2[/tex]

Answer:  [tex]3x^2 - x - 2[/tex]

Higher Order Thinking There are points on a grid at (0, 0) and (3, 0).

a. What is a possible coordinate of the third vertex if the triangle has

a perimeter of 11 units? Explain.

b. Is there another point that could be the third vertex? Explain.

par poib

signe

Answer:

  a.  57.2

  b.  scalene

Step-by-step explanation:

The lengths of the sides can be found from the coordinates of the vertices using the distance formula. The perimeter of the triangle is the sum of the side lengths.

__

The distance formula is ...

  d = √((x2 -x1)² +(y2 -y1)²)

The length of EF is ...

  d = √((24 -28)² +(27 -24)²) = √(16 +9) = √25 = 5

The length of FG is ...

  d = √((0 -24)² +(24 -27)²) = √(576 +9) = √585 ≈ 24.2

The points E and G lie on the same horizontal line, so the distance between them is the difference of their x-coordinates:

  d = 28 -0 = 28 . . . . length of EG

The perimeter is the sum of side lengths:

  P = EF +FG +GE

  P = 5 +24.2 +28 = 57.2

The perimeter of the figure is about 57.2 units.

__

The three sides have three different lengths. This makes the triangle a scalene triangle.

Answer:

The domain is all real numbers, x, such that x ≤ 4/3.

The range is all real numbers, y, such that y ≥ 0.

Step-by-step explanation:

The domain is the set of values that can be substituted for x.

The expression inside the square root cannot be negative; therefore, it must be zero or positive.

4 - 3x ≥ 0

-3x ≥ -4

x ≤ 4/3

The domain is: x ≤ 4/3

The range is the set of value that can be substituted for y.

When all numbers of the domain are used for x, and then the square root is taken, the smallest value that the square root can have is zero. Therefore, y can be all real numbers greater than or equal to 0.

The range is: y ≥ 0

Answer:

25 ÷ 5 + 7 - (4 × 3)

First Brackets :

4 x 3

= 12

Now division :

25 ÷ 5

= 5

So now this is our equation :

5 + 7 -12

Work From left to right:

5 + 7

= 12

12 - 12

==> 0

Hope it helps :))

Answer:

0

Step-by-step explanation:

1. Calculate within the parenthesis:

25 ÷ 5 + 7 - 12

2. Divide:

5 + 7 - 12

3. Add and subtract:

12 - 12

= 0

hope this helps!

Answer:

6minutes

Step-by-step explanation:

There is 60minutes in an hour sooo using an online calculator 10% of 60minutes is 6minutes
10% because when you add up everything other than research you get 90%. 90% for everything other than research so 10% for research. They then want it in minutes and they let us know that she spent an hour on her iphone so as stated that's how it works


I dont mind brainlest

Answer:

100 / (22+3)

=100/25

=4

Step-by-step explanation:

Answer:

5: A

6: B

Step-by-step explanation:

Step-by-step explanation:

the slope is always the ratio "y coordinate charge / x coordinate change" when going from one point on the line to another.

so, when going from (-2, 1) to (4, -3)

x changes by +6 (from -2 to 4).

y changes by -4 (from 1 to -3).

therefore, the slope is

-4/+6 = -4/6 = -2/3

Using the probability concept, it is found that the sentence that describes this situation is given as follows:

Theoretical probability of spinning in on number is equal to 5/9. The probability of spinning a number is equal to 2/3. Therefore the theoretical probability of being a number is less than the experimental probability of spelling and odd number.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For an experimental probability, these number of outcomes are taken from previous trials, while for a theoretical probability, they are considered before the trials.

From 1 to 9, there are 5 out of 9 odd numbers, hence the theoretical probability is given by:

pT = 5/9 = 0.5555.

Out of the 12 trials, 8 resulted in an odd number, hence the experimental probability is given by:

pE = 8/12 = 2/3 = 0.666.

Hence the sentence is:

Theoretical probability of spinning in on number is equal to 5/9. The probability of spinning a number is equal to 2/3. Therefore the theoretical probability of being a number is less than the experimental probability of spelling and odd number.

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Answer:

2 miles

Step-by-step explanation:

Add the first 2 terms (2 1/6 and 1 3/6) by adding the whole term and fractional term to get 3 4/6, then subtract 1 4/6 by subtracting 1 from 3 and 4/6 from 4/6 to get 2 0/6, which is just 2.

It shows that the values of the mileages are close to 24 mpg. Hence statistics refes 24 as the mean.

Mean is one of the measure of dispersion and is the avearage of a set of data.

According to the question, the magazine reports that the most common gas mileage was 24 mpg. This shows that reports have published several gas mileages for cars and truck and the average of this mileage is 24mpg

It shows that the values of the mileages are close to 24 mpg. Hence statistics refes 24 as the mean.

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Characteristics of vectors:

Moving up 5 units and then back down 5 units you would be in the original starting location.

Answer (2,-2)

The cartesian form of planes perpendicular to the z-axis have in spherical coordinates is z = r cosФ.

Spherical coordinates, also known as spherical coordinates, are a type of curvilinear coordinate system that is useful for defining locations on a sphere or spheroid.

The conversion of cartesian coordinate to spherical coordinate will be

x = r cosθ sinФ

y = r sinθ sinФ

z = r cosФ

The cartesian form of planes perpendicular to the z-axis have in spherical coordinates is z = r cosФ.

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Let x be the total number of student tickets sold.

Then, x - 25 is the number of adult tickets sold.

660 = 3x + 6(x - 25)

660 = 3x + 6x - 150

9x = 810

x = 90

Thus, 90 student tickets were sold.

Answer:

B

Step-by-step explanation:

The number of ways to choose a combination of 7 objects from a group of 15 objects is 15! / (7! 8!)