Amir is starting a stamp collection. After 3 weeks he has collected 35 different stamps, and after 9 weeks he has collected 105 different stamps. What is the constant of proportionality in this direct variation?

Answer:

[see below]

Slope point (also called "Point-slope") form is: [tex]y-y_1=m(x-x_1)[/tex]

[tex](x_1,y_1)\text{ -Coordinate} \\m\text{ -Slope}[/tex]

We need to find the slope of the line given.

Slope is: [tex]m=\frac{y2_-y1}{x_2-x_1}[/tex]

We are given the points (2,-1) and (-2,-2).

[tex]m=\frac{-2-(-1)}{-2-2}=\frac{-1}{-4}=\boxed{\frac{1}{4}}[/tex]

The slope of the line is 1/4.

Replace 'm' with 1/4 and '(x1, y1)' with (2, -1).

[tex]y-y_1=m(x-x_1)\rightarrow\boxed{y+1=\frac{1}{4}(x-2)}[/tex]

[tex]\text{The equation of the graphed line in slope-point form using (2,-1) is:}\\y+1=\frac{1}{4}(x-2)[/tex]

Slope intercept form is: [tex]y=mx+b[/tex]

We can convert our point slope equation into slope intercept form.

[tex]y+1=1/4(x-2)\\\\y+1=1/4x-0.5 \leftarrow \text{Distribute}\\y+1-1=1/4x-0.5-1 \leftarrow \text{Subtraction Property of Equality}\\\boxed{y=\frac{1}{4}x-1.5}[/tex]

The equation of the line in slope intercept form is: [tex]y=\frac{1}{4}x-1.5[/tex] OR [tex]y=\frac{1}{4}x-\frac{3}{2}[/tex].

Answer:

6

Step-by-step explanation:

3 is the bottom the height is 4 because if you go to the top and count it 4 the 3x4 / 2= 6

Answer:

B. 32°

Step-by-step explanation:

Since two of the sides are 10 in length, then we can infer that ∠A and ∠C are congruent. So, both equal 74°. You add 74 + 74 + x = 180, x would equal 32°.

Answer:

B

Step-by-step explanation:

sum of angle in triangle is 180

and since its isosceles triangle, it means <C will be same with <A

so we know that A + C = 148.

so the value of B will be like this

B = 180° - (A+C)° = 180 - 148 = 32°

Answer:

No Solution

Step-by-step explanation:

For one solution;

it will be consistent and independent ( example, x = 1 and y = 2)

For no solution;

it will be inconsistent and independent ( example, 0 = 2)

For many solution;

it will be consistent and dependent ( example, 1 = 1,  2 = 2,  y = y,  x = x)

Given;

        3x - 2y = 3 -------------- equation (1)

        6x - 4y = 1 --------------- equation (2)

6:     18x - 12y = 18 -------------equation (3)

3:     18x - 12y = 3 --------------- equation (4),      subtract (4) from (3)

      --------------------------------------------

        0 - 0      =  15

     -----------------------------------------------

       0 = 15

The solution is inconsistent and independent, because zero (0) cannot be equal to 15

Thus, the system has no solution

Answer:

ONE SOLUTION

3x-5y=8; 5x-3y=2

3x+2y=8; 4x+3y=1

NO SOLUTION

3x-4y=2; 6x-8y=1

3x-2y=3; 6x-4y=1

INFINITELY MANY SOLUTIONS

3x-6y=3; 2x-4y=2

Step-by-step explanation:

i got this right on edge

Answer:

therefore the population of the culture is 2313

The answer choice which could be used to make a bow with the least amount remaining is; 1 2/5 yards.

It follows from the task content that the amount of ribbon remaining in each case can be evaluated as follows;

For 1 2/5 yards: 1 2/5 - 1 1/3 = 1/15. renders only 1/15 a yard to waste.

For 1 and 1/6 yards would render a waste of 1 1/6 yards since it is not possible to make a ribbon out of it.

1 2/10 yards would render a waste of 1 and 1/5 yards since it is not possible to make a ribbon out of it.

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Answer: not very sure but i think that may be 5

Step-by-step explanation:

Answer:

50pi circumference

96pi area

Step-by-step explanation:

The outer pathway is a circle of radius 25, so the circumference is

2*pi*25 or 50pi

The are is pi*r^2 or 625 pi - pi*23^2 = 96pi

Answer:

(-9,9) or (-9,-7) are the possible coordinates

Step-by-step explanation:

We can use the formula for the distance between two points to get this

Mathematically, this can be;

d = √(x2-x1)^2 + (y2-y1)^2

Now let our point A be (x1,y1) = (-9,n)

let’s say y1 is n for now

For point B, we have (x2,y2) = (3,2)

and our d is 15 units

Inputing the values, we have

15^2 = (3+9)^2 + (2-n)^2

225 = 144 + (2-n)^2

225-144 = (2-n)^2

(2-n)^2 = 81

(2-n) = √(81)

2-n = -9

or 2-n = 9

n = 11 or n = -7

Now the possible coordinate values of point A are;

(-9,9) or (-9,-7)

Answer:

Step-by-step explanation:The distance between points is given by the following equation:

 d = root ((x2-x1) ^ 2 + (y2-y1) ^ 2)

 Substituting we have:

 15 = root ((- 9 -3) ^ 2 + (a-2) ^ 2)

 We clear the value of a:

 (15) ^ 2 = (root ((- 12) ^ 2 + (a-2) ^ 2)) ^ 2

 225 = (- 12) ^ 2 + (a-2) ^ 2)

 Rewriting:

 225 = 144 + (a-2) ^ 2

 225-144 = (a-2) ^ 2

 81 = (a-2) ^ 2

 a-2 = +/- root (81)

 a = +/- 9 + 2

 The possible values are:

 a1 = 9 + 2 = 11

 a2 = -9 + 2 = -7

 Then, the possible coordinates of point a are:

 (-11, 11)

 (-11, -7)

 Answer:

 the possible coordinates of point a are:

 (-11, 11)

 (-11, -7)

Answer:

no

Step-by-step explanation:

because even going back to back it would take you about one or two days

Answer: 3 years

Step-by-step explanation:

Interest = 1740 - 1200 = 540

SI = prt / 100

540 = 1200 x 0.15 x t

540 = 180t

t = 540 / 180 = 3

Find the interest amount.

[tex]I=1740-1200=540[/tex]

Use the formula for simple interest.

[tex]I=prt/100[/tex]

Solve for t.

[tex]540=1200 \times 15\% \times t[/tex]

[tex]540=1200 \times \frac{15}{100} \times t[/tex]

[tex]540=180t[/tex]

[tex]t=\frac{540}{180}[/tex]

[tex]t=3[/tex]

Answer:

S(x)= 10+2^x

Step-by-step explanation:

The correct function which represents the number of members in the science club after x weeks is,

S (x) = 10 + 2ˣ

We have,

The science club is experiencing a growth in membership.

On average, they are seeing 2 new members sign up each week.

Here, they started with 10 members.

Hence, The function S (x) which represents the number of members in the science club after x weeks is,

S (x) = 10 + 2ˣ

Where, x is number of weeks.

Therefore, The function is,

S (x) = 10 + 2ˣ

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Answer:

10.62

Step-by-step explanation:

20- 9.38 = 10.62

Answer:

Step-by-step explanation:

These are the values we will need:

  f(-5) = (-5)^2 -7(-5) +6 = 25 +35 +6 = 66

  f(4) = 4^2 -7(4) +6 = 16 -28 +6 = -6

  g(-5) = -5 -1 = -6

  g(4) = 4 -1 = 3

__

(f+g)(-5) = f(-5) +g(-5) = 66 +(-6)

(f+g)(-5) = 60

__

(f-g)(4) = f(4) -g(4) = -6 -3

(f-g)(4) = -9

Answer:

0 < x  < 3

Step-by-step explanation:

3 < x + 3 < 6

Subtract 3 from all sides

3-3 < x + 3-3 < 6-3

0 < x  < 3

Steps to solve:

3 < x + 3 < 6

~Subtract 3 to all sides

3 - 3 < x + 3 - 3 < 6 - 3

~Simplify

0 < x < 3

Best of Luck!

Answer:

180°

Step-by-step explanation:

In bearing the protractor is placed in the North-South direction(eastside) thus directly north is on a bearing of 0°.After you mark the point B. A will be directly south which is on a bearing of 180°

[tex]answer = 136 °\\ solution \\ x + 44 = 180(opposite \: angles \: of \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: a \: cyclic \: quadrilateral \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: are \: supplementary) \\ or \: x = 180 - 44 \\ x = 136° \\ hope \: it \: helps[/tex]

Answer:

look on symbolab got my answer from there'

Step-by-step explanation:

Answer:

[tex]\frac{11}{13}[/tex]

Step-by-step explanation:

There are 4 aces and 4 kings.

[tex]\frac{8}{52} =\frac{2}{13}[/tex]

Now just subtract that from 1.

[tex]\frac{11}{13}[/tex]

Answer:

9 students

Step-by-step explanation:

5/9 of 18 is 10

Step-by-step explanation:

position your compass at point A and using the same distance mark arcs on line AB(mark the point it meets the line D)and AC(mark the meeting point of the arc and the line E).Place your compass at D and draw an arc at the middle of the angle,using the same measurements position your compass at point E and draw an arc.Where the two arcs meet label F using a ruler draw a straight line from F to meet point A.

Note;the width of the compass when making the arcs should be the same always

Answer:

Mehmut is 8 years old.

Step-by-step explanation:

From the statement we can get the following information, let M be Mehmut's age and b brother's age:

M = 4 * b

M + 1 = 3 * (b + 1)

We replace the first equation in the second and we are left with:

4 * b + 1 = 3 * b + 3

4 * b - 3 * b = 3 - 1

b = 2

Now, we replace to calculate M:

M = 4 * b

M = 4 * 2

M = 8

Mehmut is 8 years old.

Answer: angleAOB = 40°

Step-by-step explanation: Drawing these angles, we see that angle AOC is the sum of angle AOB and angle BOC, so:

angleAOC = angleAOB + angleBOC

108 = 3x + 4 + 8x - 28

108 + 24 = 11x

11x = 132

x = 12

Knowing x, to find angleAOB, just substitute and calculate:

angleAOB = 3x+4

angleAOB = 3.12 + 4

angleAOB = 40°

The angle AOB is 40°.

Answer:

7

Step-by-step explanation:

LB of d = 186.5

UB of d = 187.5

LB of p = 27.5

UB of p = 28.5

186.5/28.5 = 6.54

187.5/27.5 = 8.81

The answer is 7 since both bounds round up to 7.

The value of c for the David journey is 7.

Since David drove a distance (d) of 187 km

So here the 3 significant figures should be

LB of d = 186.5

UB of d = 187.5

And,

LB of p = 27.5

UB of p = 28.5

Now the average should be

[tex]186.5\div 28.5[/tex] = 6.54

And,

[tex]187.5\div 27.5[/tex] = 8.81

So, The value of c for the David journey is 7.

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Answer:

The missing factor is (9s+1)

Step-by-step explanation:

The missing factor is (9s+1) because of the following

(9s^2 + s) + (18s+2)

If we factor out s from 9s^2+s, we get s(9s+1).

If we factor out 2 from 18s+2, we get 2(9s+1)

putting these together, we get s(9s+1) + 2(9s+1). Factoring out the common term of 9s+1, we get (9s+1)(s+2). therefore, the missing factor is 9s+1

Answer:

The area of the rectangle is 880 cm

Step-by-step explanation:

Lenght = 55cm

Breadth/width=16cm

Area of rectangle= lenght×breadth

Area= 55×16

Area= 880

Hence, area of rectangle is 880cm

P.S - Mark me as the brainliest :D

Answer: B) 4

Step-by-step explanation:

Using the formula

Standard deviation = √( (Σ ( x - π)²)/n)

To get the standard deviation, first we workout the Mean which is the simple average of the data set

n = 4

(13 + 17 + 9 + 21) / 4 = 60/4 = 15

Mean(x) = 15

Then (x-π)²

13 - 15 = (-2)² = 4

17 - 15 = (2)² = 4

9 - 15 = (-6)² = 36

21 - 15 = (6)² = 36

Σ ( x - π)² = (4 + 4 + 36 + 36) = 80

Standard deviation = √( (Σ ( x - π)²)/n

= √ (80/4)

=√20

= 4.47

= 4

Answer:

1.15 m³

Step-by-step explanation:

i hope its correct and i hope its helpful

Step-by-step explanation:

hey can yuh show work by step by step...since its hard plzz