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Answer:

Step-by-step explanation:

The best interpretation of P(3) = 12 is that if the length of the sides of the square is 3 units, then the perimeter of the square is 12 units.

A square is a two-dimensional figure that has four sides and all four sides are equal.

The area of a square is side²

We have,

The best interpretation of P(3) = 12 is that if the length of the sides of the square is 3 units, then the perimeter of the square is 12 units.

i.e

Since the function P is defined as the perimeter of the square in terms of its side length S,

We can substitute S = 3 into the function and get P(3) = 12.

This means that the sum of the four sides of the square when its length is 3 units is equal to 12 units.

Thus,

The best interpretation of P(3) = 12 is that if the length of the sides of the square is 3 units, then the perimeter of the square is 12 units.

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Answer:

$262.5

Step-by-step explanation:

Given data

Commission earned= 7.5%

Sales for last week=  $3,500

Let us find the amount of the commission

=7.5/100* 3500

=0.075*3500

=$262.5

Hence the commission earned last week is

$262.5

Answer:

Amount of loan pay = $6.840 (Approx.)

Step-by-step explanation:

Given:

Amount of loan borrow = $4,500

Rate of interest = 15% = 0.15

Number of year = 3 year

Find:

Amount of loan pay

Computation:

Future value = Present value[1+r]ⁿ

Amount of loan pay = Amount of loan borrow[1+r]ⁿ

Amount of loan pay = 4,500[1+0.15]³

Amount of loan pay = 4,500[1.15]³

Amount of loan pay = 4,500[1.52]

Amount of loan pay = $6.840 (Approx.)

Answer: A

Step-by-step explanation:

The correct option is A.

In mathematics, an exponential function is a function of form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

Given is that a graph,

So, from the graph we can concluded that it is an exponential and positive function,

Therefore, as x increases y also increases.

We know that the exponential function is given by =

y = abˣ

So, when x = 0, y = 100,

100 = a × b⁰

a = 100

When x = 4, y = 150,

150 = 100 × b⁴

b⁴ = 1.5

b = 1.11

y = 100(1.11)ˣ

Change = 110-100 / 100 × 100% = 10%

Therefore, we can say the value of a $100 stock grows in value by 10% each year.

Hence the correct option is A.

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Answer:

36

Step-by-step explanation:

yes it may be gets 48 flavoure

Answer:

Maybe 74

Step-by-step explanation:

42+64=106

180-106=74

Answer:

The width of the frame must be 12 inches (15in by 12in)

Step-by-step explanation:

Given

See attachment for painting and frame

Required

Determine the dimension of the frame

To do this, we make use of the following scale ratio.

[tex]Scale = Length : Width[/tex]

For the painting,

[tex]Scale = 20: 16[/tex]

For the frame,

[tex]Scale = 15: w[/tex]

Since she wants to maintain the same ratio; both scale must be the same.

i.e.

[tex]15 : w = 20 : 16[/tex]

Express as fraction

[tex]\frac{w}{15} = \frac{16}{20}[/tex]

[tex]\frac{w}{15} = 0.8[/tex]

Make w the subject

[tex]w = 15 * 0.8[/tex]

[tex]w = 12[/tex]

The width of the frame must be 12 inches i.e. 15in by 12in frame

Answer:

1.4073888e+48

Step-by-step explanation:

Answer:

The width is 45 meters

Step-by-step explanation:

P = 2(l + w) =2 · (95 + 45) = 280

all triangles have 180 total degrees, we know this

80 degrees are accounted for, so there's 100 left

3x - 25 = 100

3x = 125

x = 41.67

Answer:

M = 20; R = 40

Step-by-step explanation:

R = 2M

L = R + 10

L = 50

50 = R + 10

(Take away 10 from both sides)

50 - 10 = 40

40 = R

Remember, R = 2M

40 = 2M

(Divide both sides by 2)

40 / 2 = 20

20 = M

Answer:

c

Step-by-step explanation:

Answer:

8x40=320

Step-by-step explanation:

According to the given question we can infer that here are 320 books in the bookcase.

If Trey has a bookcase with 8 shelves, and each shelf has 40 books, the total number of books in the bookcase can be calculated by multiplying the number of shelves by the number of books per shelf.

Total number of books = Number of shelves × Number of books per shelf

Total number of books = 8 shelves × 40 books per shelf

Calculating the multiplication:

Total number of books = 320 books

Therefore, there are 320 books in the bookcase.

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Answer: Formula: ½ x base x height or ½ b x h or ½ bh The base is measured by length The height is measured by length The height and the base must form a 900 angle. 900 angle is a right angle.

Step-by-step explanation:

Answer:

The area of triangle AED = (x^2-xy)/2

Step-by-step explanation:

Mathematically, the area of a square is the product of its side lengths

Thus, if the area is x^2; then the side of the square measures x

So each of the side of the square has a measure x units

Now, for the base of the square;

EC = ED + DC

x = ED + y

ED = x - y

Mathematically, the area of a triangle is the product of the base and the height of the triangle divided by 2

The height here is x and the base is (x-y)

We have this as;

Area of triangle AED =

1/2 * x * (x-y)

= (x(x-y))/2

= (x^2-xy)/2

Answer:

10x + 15

Step-by-step explanation:

x - 1 = 1 (2).

x + 4 x 10x + 15 / 2.445

x + 4 (2) / 2.445 = x1 - 4

10x + 15

Answer:

AC=2.35

Step-by-step explanation:

tan25=AC/BC

0.47=AC/5

AC=2.35

hope it helps

have a great day!!

The triangle ΔBAD is congruent to the triangle ΔCDA by SSS postulates.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

If the corresponding sides of the triangles are equal. Then the triangles will be a congruent triangles. And it is known as SSS postulates.

BD = AC and AB = CD

In triangles ΔBAD and ΔCDA, we have

BD = AC             (Given)

AB = CD             (Given)

AD = AD             (Common side)

Then the triangle ΔBAD is compatible with the triangle ΔCDA by SSS proposes.

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Answer:

Solve it, you can do it!

Step-by-step explanation:

Multiply 4 2/3 and then divide what you get with 7

Answer:

1.5 or 1 1/2

Step-by-step explanation:

4 2/3 / 7

14/3 / 7

3 * 7 = 21

21/14 =

1.5

edit 1: i changed the / to an or to make it less confusing

Answer:

[tex]y=\frac{-4}{3} +9[/tex]

Step-by-step explanation:

Slope-intercept form is y-mx+b. To find slope-intercept form solve for y.

First, subtract 4x from both sides,

3y=-4x+9

Then, divide both sides by 3,

y=-4/3x+3

u need to do 111111155151515151515151515151

Answer:

v = 7

Step-by-step explanation:

So, I used a go.ogle calculator for this, so I don't evidence, but here

hope this helps:)

Answer:

v=7

Step-by-step explanation:

[tex]3(3v-4)=51\\9v-12=51\\9v=51+12\\9v=63\\v=\frac{63}{9}\\v=7[/tex]

Answer:

Given: BC || AD and AB || CD. Prove: AB = CD. Complete the ... 4. 5. △ABC ≅ △CDA. 5. 6. AB = CD. 6. ______ a) Transitive Property b) Given c) CPCTC.

Step-by-step explanation:

Answer:

C. -26=x

Step-by-step explanation:

3(3x-2)=5(2x+4)

9x-6=10x+20

9x-10x=20+6

-x=26

-x/-1=26/-1

x= -26

Answer:

672.12

Step-by-step explanation:

Answer:

Step-by-step explanation:

We see the relationship is closer to linear in the interval 30 to 40

Approximate points:

The slope of the line:

The line is:

At x = 40, the value of y would be:

The closet option is B

Answer:

9x = 120

x= [tex]\frac{43}{3}[/tex]

Step-by-step explanation:

Answer:  A≈314.16

Step-by-step explanation: A=πr2=π·102≈314.15927