Is 5^x a polynomial?

The area of the figure given below is 56.6 units² .

In the question ,

a figure is given

where there is one rectangle and two semicircles .

the length of the rectangle is given as 11 units

and the breadth of the rectangle is = 4 units

we know that the area of the rectangle is = length × breadth

on substituting the values ,

we get

area = 11 × 4

area = 44 units²

the radius of the semicircle = 2 units

the are of the semi circle = (1/2)*π*r²

since there are two semicircle , the area of the two semi circle will be

= 2 * (1/2)πr²

= π*r²

On substituting , the value of radius = 2 ,

we get the area is = 3.14*(2)² = 12.56       using π = 3.14

so the area of the complex figure is = 44 + 12.56 = 56.56

≈ 56.6

Therefore , The area of the figure given below is 56.6 units²  .

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Answer:

Step-by-step explanation:

Answer:

[tex]y=\frac{3}{2}x+5[/tex]

Step-by-step explanation:

[tex]-6x+4y=20 \\ \\ 4y=6x+20 \\ \\ y=\frac{3}{2}x+5[/tex]

Answer:

y=2x+6

y=2x+6

Explanation:

Given the equation:

The equation written as a system of equations is:

Opening the bracket in the first equation gives:

SOLUTION

The equation of the parabola is defined using

Since the vertex is at the origin the equation becomes

Since the directrix is y=5

The distance from the focus to the vertex is equal to the distance from the vertex to the directrix

It follows

Thus the equation becomes

Therefore the equation of the required parabola is

Answer: Y=-1/20x^2

Step-by-step explanation:

we know that

The domain of a function is the set of all possible values of x

The range of a function is the complete set of all possible resulting values of y

so

In this problem

The domain is the interval {-1,3}

so

The range is the interval {-4,5}

so

answer Option A

The perimeter of the triangle ABC is equal to 36 centimeters. (Correct choice: A)

Triangles are close figures with three sides and three internal angles. Two triangles are congruent when they share sides with same lengths and angle and side distributions, then AC ≅ XZ, BC ≅ YZ and AB ≅ XY. The perimeter is the sum of the lengths of the three sides of the figure, then:

p = 10 cm + 12 cm + 14 cm

p = 36 cm

The perimeter is equal to 36 centimeters.

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Two triangles are congruent if all of their sides are the same. Perimeter of triangle ABC is 36cm.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Two triangles are congruent if all of their sides are the same.

By data triangle ABC and triangle XYZ are congruent.

In triangle ABC, AB = 12 cm and AC = 14

In triangle XYZ,  YZ = 10 cm and XZ = 14

As ABC and XYZ are congruent then the other side of triangle ABC has 10cm.

Perimeter of triangle=Sum of three sides

=10+12+14

=36

Hence perimeter of triangle ABC is 36cm.

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Is should be 50% slope

Answer:

m=0

Step-by-step explanation:

(-2,1) (2,1)

x1=-2,x2=2,y1=1,y2=1

Gradient/slope

m=y2-y1/x2-x1

m=1 - 1/2-(-2)

m=0/2+2

m=0/4

m=0

The fraction of ice cream cones sold that are either chocolate or vanilla is 3/5.

A fraction is a non-integer that is made up of a numerator and a denominator. An example of a fraction is 3/5. 3 is the numerator and 5 is the denominator.

In order to determine the fraction of ice cream cones sold that are either chocolate or vanilla, add the fraction of chocolate cones sold and vanilla cones sold together. Addition is the process of determining the sum of two or more numbers.

Fraction of ice cream cones sold that are either chocolate or vanilla = 3/10 + 3/10 = 6/10 = 3/5.

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Let

y ----> total cost in dollars

x -----> number of miles

we have that

Option B

y=50

Option A

Find out the slope

take two points from the graph

(0,20) and (150,50)

m=(50-20)/(150-0)

m=30/150

m=1/5=$0.20 per mile

therefore

y=0.20x+20

Part A

For x=75 miles

Option A -----> y=0.20(75)+20=$35

Option B ------> y=$50

therefore

Option A costs less

Find out the difference

$50-$35=$15

Cost $15 less than the other option

Part B

Looking at the graph

For x=150 miles

Both options cost the same

If David drives more than this amount option B costs less

The speed of the tennis ball is 6.2 metres per seconds.

Speed is measured as the ratio of distance to the time in which the distance was covered.

Therefore, speed can be represented mathematically as follows;

speed = distance / time

Hence, the table tennis travels 12.4 metres south in 2 seconds.

The speed of the tennis can be computed as follows:

distance = 12. 4 metres

time = 2 seconds

Therefore,

speed = 12.4 / 2

speed = 6.2 meters per seconds.

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If Katie and her best friend Liam play tennis every Saturday morning. When Katie serves the ball to Liam, it travels 12.4 meters south in 2 seconds. Then the speed of tennis ball is 6.2 m/s

Speed is the time rate at which an object is moving along a path, while velocity is the rate and direction of an object's movement.

Given that,

Katie and her best friend Liam play tennis every Saturday morning.

When Katie serves the ball to Liam, it travels 12.4 meters south in 2 seconds.

The speed of the tennis can be found by using formula

speed=distance/time

distance = 12. 4 metres

time = 2 seconds

Now speed=12.4/2

speed=6.2

Hence speed of the tennis ball is 6.2m/s

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Answer:

x=-2 y=-5

x=5 x=2

Step-by-step explanation:

lo siento, no tengo idea de cómo explicarte esto. Ummm, hay una aplicación que puedes descargar en tu teléfono para tomar una foto de la hoja de trabajo o el papel y luego la traducirá para ti. Se llama buena traducción o algo en. buena suer

Answer:

(2, 3)

Step-by-step explanation:

the work is all in the pic go check it out I am so sorry if it's incorrect also have a nice day:)

Step-by-step explanation:

Meow island get's their population multiplied by 3 per year

Purr island get's and additional 4 cats per year

The population of cats on each island in the mathematical form is:

Meow island:

f(0) = 2

And,

f(x) = 3f(x - 1)

Where x is the number of years from x = 1, 2, 3 ,,,,

Purr island:

y = 4x + 2

Where x is the number of years from x = 0, 1, 2, 3 ,,,,

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

We will make ordered pair of number of years x and number of cats y as

(x, y).

Meow island:

We see that the number of cats is increasing 3 times the previous number of cats.

So,

f(0) = 2

And,

f(x) = 3f(x - 1)

Where x is the number of years from x = 1, 2, 3 ,,,,

Purr island:

(0, 2), (1, 6), (2, 10), (3, 14) ....

The equation for the table.

y = mx + c

m = (6 - 2) / (2 - 1) = 4/1 = 4

(0, 2) = (x, y)

2 = 4 x 0 + c

c = 2

Now,

y = 4x + 2

Thus,

The population of cats on each island in mathematical form is given above.

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The Interquartile range i.e 1.5 (IQR) is used to identify outliers in a set of data which is the correct answer would be option (A).

We may build up a "fence" outside of Q1 and Q3 by using the Interquartile range (IQR) method of spotting outliers. Outliers are values that fall outside of this range.

To construct this barrier, we take 1.5 times the IQR, deduct it from Q1, and add it to Q3. This provides us with the lowest and maximum fence posts against which we will compare each observation.

Outliers are observations that are greater than 1.5 IQR below or above Q1. Minitab's default strategy for identifying outliers is this.

Therefore, the Interquartile range (IQR) is used to identify outliers in a set of data.

Hence, the correct answer would be option (A).

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Answer:

D. 1.75

Step-by-step explanation:

Absolute value cannot be negative, so that gets rid of A & B. The point is at -1.75 so it has to be D.

The correct statement will be:

A. The rate of change is the number of inches grown per month, and the initial value is the starting height.

We can form the following equation from the given data:

H(m) = 13 + 41m,

Where H ( Height ) is a function of the number of months ( m ).

We can see that the height changes with respect to months i.e. as the number of months increases, the height of the sunflower also increases.

The initial value or the initial height of the sunflower remains constant throughout and has less impact on its height.

So, option A will be the ultimate explanation for the data given.

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Answer:

Step-by-step explanation:

This is a linear function of time, as mentioned.

A linear function is always in the form of:

[tex]y=mx+b[/tex]

The 'sunflower's height is a linear function of time', so the [tex]x[/tex] variable represents the time (which is in terms of months here), and the [tex]y[/tex] would represent the sunflower's height after time has passed.

The initial value is when [tex]x=0[/tex].

[tex]x=0[/tex] means at the very beginning.

At the very beginning, the height would be the starting height, so the initial value would be the starting height.

The rate of change means the change in [tex]y[/tex] in respect to [tex]x[/tex].

Since [tex]y[/tex] represents the height after [tex]x[/tex] months, the rate of change would be the change in height per month.

You could also write it as the number of inches grown per month.

The initial value is the starting height, and the rate of change is the number of inches grown per month, so the correct answer is (A).

In plan B the price rises by 10%.

Thus the price rise is per week is $0.8

In plan A the price rise per week is $0.1

In plan C the price rise per week is

In plan D the price rise per week is $0.25

Considering all the plan the maximum price rise for each week is 0.8.

So the plan that would lead to $12 fastest is plan B.

The answer is plan B.

The time taken to completely fill the pool is 5/4 hour

From the question, the given parameters are:

Time =3/4 hour

Size of the pool = 3/5

The time to fill the pool is then calculated as

Time = Given time/Proportion of the pool

Substitute the known values in the above equation

So, we have the following equation

Time = 3/4 hour ÷ 3/5

Express the quotient as product

So, we have the following equation

Time = 3/4 hour x 5/3

Evaluate the products

Time = 5/4 hour

Hence, the time taken is 5/4 hour

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Answer:

£94

Step-by-step explanation:

24+ (14×5) = £94

p.s pls give brainliest answer :)

The rate of pounds per hour of the machine is 1.5 pounds per hour

From the question, we have the following parameters:

Pounds of nails = 2 1/4 pounds of nail

Number of hours = 1 1/2 hour

From the above parameters, the rate of pounds per hour can be calculated using the following formula of constant of proportionality

The constant of proportionality is calculated as

Constant of proportionality = Pounds of nails/Number of hours

In this case, we have

Rate of pounds per hour = Pounds of nails/Number of hours

Substitute the known values in the above equation

Rate of pounds per hour = (2 1/4)/(1 1/2)

So, we have

Rate of pounds per hour = 1.5

Hence, the rate is 1.5 pounds per hour

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Answer:

1 1/2

Step-by-step explanation:

2 1/4 divide 1 1/2 is 1 6/12

1 6/12 simp —-> 1 1/2 (1.5)

Answer:

20 times

Step-by-step explanation:

Digit 2 appears 20 times in first 100 natural numbers

The formula for M₁ in terms of [tex]F_{g}[/tex] , G , M₂ , r is  M₁ = ( [tex]F_{g}[/tex]*r² ) /(G*M₂ ) .

in the question ,

it is given that the

formula to find , "gravitational  force" between two objects is

[tex]F_{g}[/tex] = (G*M₁*M₂)/r²

to express the formula in terms of M₁ ,

we first multiply both the sides by r² ,

on multiplying , we get

[tex]F_{g}[/tex]*r² = G * M₁ * M₂

On dividing both sides by G ,
we get

( [tex]F_{g}[/tex]*r² ) /G = M₁ * M₂

we have to find the formula for M₁ ,

we divide both sides  by M₂,

So , on dividing both  sides by M₂ , we get

( [tex]F_{g}[/tex]*r² ) /(G*M₂ ) = M₁

hence M₁ = ( [tex]F_{g}[/tex]*r² ) /(G*M₂ )

Therefore , the formula for M₁ in terms of [tex]F_{g}[/tex] , G , M₂ , r is  M₁ = ( [tex]F_{g}[/tex]*r² ) /(G*M₂ ) .

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An inscribed circle is the largest circle contained in the polygon (triangle):

• Bisects two angles of the triangle.

• The angle bisector will intersect at the intercenter.

Procedure

To draw the inscribed circle, we have to use the intercenter (O, in our case) as the center, pointing one of the compass points in O, and draw the circle touching the edges.

Answer:

Classification by Angles: Obtuse

Classification by Sides: Scalene

Step-by-step explanation:

    ➜ This triangle has an obtuse angle, or an angle greater than 90°, so it is an obtuse triangle. This is the classification by angles.

    ➜ This triangle's sides are all different lengths, as shown by the three different angle measurements. This means this triangle is scalene, and scalene is the classification by sides.

Answer:

2

Step-by-step explanation:

512÷2=256

256÷2=128

128÷2=64

64÷2=32

32÷2=16

16÷2=8

8÷2=4

4÷2=2

2÷2=1

=(2^2)+(2^2)+(2^2)+(2^2)+2

When 2 is multiplied it will make it a perfect square.

512×2=1024

√1024

=32