Recall that the formula for the area of a rectangle is, A = l×w where l represents the length of the rectangle and w represents its width.

Find the area of a rectangle that has a length of 3.5 centimeters and a width of 2.2 centimeters. The answer is 7.7

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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Answer:

70

Step-by-step explanation:

Proportional means in a ratio.

Picking any L/W from the table works. Set that equal to 42/W.

[tex]\frac{6}{10} =\frac{42}{W}[/tex]

Solve for W.

6W = 42 * 10

6W=420

W=70

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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Answer:

area of trapezium → 1/2 × Sum of parallel sides × Distance between them.

Area → 15in² {given}

B1 → 4in

B2 → 6in

15 = 1/2 × ( 4+6 ) × h

h = 15 × 2 ÷ 10

h = 3in

I hope it's helpful

Answer:

i wouldd but likee

Step-by-step explanation:

i didnt pay a single second of attention in math

Answer:

£94

Step-by-step explanation:

24+ (14×5) = £94

p.s pls give brainliest answer :)

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.

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).

Answer:

(a)

[tex] log_{2}(7) + log_{2}(3) = log_{2}(21) [/tex]

(b)

[tex] log_{9}(7) - log_{9}(8) = log_{9}( \frac{7}{8} ) [/tex]

(c)

[tex] log_{2}( \frac{1}{9} ) = - 2 log_{2}(3) [/tex]

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

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 equation of line is y = -x + 6

What is Equation of line ?

A straight line's general equation is y = mx + b, where m denotes the gradient and y = b denotes the point at which the line crosses the y-axis. On the y-axis, this value b is referred to as the intercept.

The given point are (5, 1) and (7, 11)

We know, the equation of line is,

y = mx + b

where, m = slope

            b = y-intercept

First, find slope i.e m

we know the formula of slope (m) = (y2 - y1) / (x2 - x1)

The points, (x1, x2) = (5, 1) and,

                   (y1, y2) = (7, 11)

put these values in slope formula,

m = (11 -7) / (1 - 5)

   = 4 / -4

m = -1

we get the slope is -1

Next, find y-intercept i.e 'b'

for that, take any one point I'm taking (5, 1) and put these in equation ,

y = mx + b

1 = -1 * 5 + b

1 = -5 + b

b = 6

Now, put slope (m) and y-intercept (b) value in ,

y = mx + b

we get,

y = -x + 6

Hence, the equation of line is y = -x + 6

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Answer:

1: figures a and b

2: figures a and b

3: figure a

Step-by-step explanation:

2 & 3:

all squares are rectangles, but not all rectangles are squares

Hope this helps!

The perimeter of the given triangle is the sum of the following segments:

Perimeter = PD + DO + OP

based on the given graph, you have that the coordinates of the points PDO are:

P: (1,-6)

D: (4,3)

O: (7,-6)

use the following formula for the distance in between two points:

d = √((x2 - x1)²+(y2 -y1)²)

where (x1,y1) and (x2,y2) are two points on the cordinate system.

For segement PD you have:

PD = √((1-4)²+(-6-3)²) = √(100) = 10

For segemtn DO:

DO = √((4-7)²+(-6-3)²) = √(100) = 10

For segment OP:

OP = √((1-7)²+(-6+6)²) = √36 = 6

then, the perimeter of the triangle is:

perimeter = 10 + 10 + 6 = 26

The distance between the ordered pairs is 4 units

What is distance formula?

Distance formula calculates the distance between two coordinates. it calculates the straight line distance between two points. The formula can be given as [tex]distance=\sqrt{(c-a)^{2}+(d-b)^{2} }[/tex] for the coordinates (a, b) (c, d)

We are given the ordered pair (w+2,m) and (2t,c-3)

We are given the value w = 6, m = 3, t = 4 and c = 10.

Substituting the values in the pairs

We get,

(6+2,3),(2(4),10-3)

(8,3),(8,7)

We use distance formula to find the distance

[tex]d=\sqrt{(8-8)^{2} +(7-3)^{2} }\\ d=\sqrt{4^{2} }\\ d=4[/tex]

Hence the distance between the ordered pairs is 4 units.

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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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Answer:

Step-by-step explanation:

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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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:

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.

The next three terms for the pattern will be 12, 48, 192 and 768.

It is important to note that a pattern is used to show the sequence of events.

In this case, the first term of a pattern is 12 and the pattern follows the rule "multiply by 4."

This will be:

First term = 12

Second term = 12 × 4 = 48

Third term = 48 × 4 = 192

Fourth term = 768

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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

Answer:

His commission is 104$.

Step-by-step explanation:

1. Find 20% of 520$, which is 104$.

That's the answer! Please mark me as the brainliest!

The equation will be used for solving the retail price is y = 1.8x

Given,

The equation will be used for solving the retail price is y = 1.8x

A local shoe store buys shoes at a wholesale price.

and mark up 80%

The table is:

Quantity                                              Wholesale Price

0-20 pairs                                                  $25.00

21-40 pairs                                                 $23.00

41-60 pairs                                                 $21.00

61-80 pairs                                                 $19.00

81 or more pairs                                         $17.00

To find the retail price for each range.

Now, According to the question:

An equation will be used :

the equation for all of them would be :

y = new price

x = wholesale price

y = 1.8x

Quantity of :0 - 20 pairs.

= 25 x 1.80

= $45.00

Quantity of: 21 - 40 pairs

= 23 x 1.80

= $41.40

Quantity of: 41 - 60 pairs

= 21 x 1.80

= $37.80

Quantity of: 61 - 80 pairs

= 19 x 1.80

= $34.20

Quantity of: 81 or more pairs

= 17 x 1.80

= $30.60

Hence, The equation will be used for solving the retail price is y = 1.8x

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The ratio of the pole's height to its shadow is 1:4.

So, the ratio of height:shadow:

The ratio will be:

Therefore, the ratio of the pole's height to its shadow is 1:4.

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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

Answer: [tex]x=-\frac{1}{2}, y=\frac{9}{2}[/tex]

Step-by-step explanation:

[tex]5x+7=7x+8\\\\2x=-1\\\\x=-\frac{1}{2}\\\\\implies y=5\left(-\frac{1}{2} \right)+7=\frac{9}{2}[/tex]