What are the differences between a recursive
and explicit rule?

Step-by-step explanation:

a could be 3580 X 1.25^n

b could be 6992.19

dk c

44

Step-by-step explanation:

let boys be x and girls be y

x/y=5/6

x=5y/6....(1)

if 6 boys join the club that will be x+6

Therefore:

(x+6)/y=13/12

13y=12x+72

13y-12x=72

Recall x=5y/6

Therefore:

13y-12(5y/6)=72

13y-(2*5y)=72

13y-10y=72

3y=72

y=24 people

Therefore:

x=(5*24)/6

x=20 people

Therefore people in the club before are 20+24=44

Answer:

(1,3)

Step-by-step explanation:

Answer:

8:10

Step-by-step explanation:

If Timothy has some coins in a jar. He has 6 pennies,8 nickels,10 dimes, and four quarters. Then 4:5 is the ratio of the number of nickels to the number of dimes

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

Timothy has some coins in a jar.

The number of Pennies = 6

The number of Nickels = 8

The number of dimes =10

The number of quarters =4

We need to find the ratio of  the number of nickels to the number of dimes

8/10

4/5

Hence 4:5 is the  ratio of  the number of nickels to the number of dimes

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Answer:

31

Step-by-step explanation:

73 - 11 = 62

62 / 2 = 31

Answer:

b is your answer (:

Answer: each ticket cost 5 dollar

Step-by-step explanation: if you do 80 divide 16 you will get 5. So if you did 5x16 you would get 80.

Answer:

Step-by-step explanation:

They're asking for what other information is needed.

We were given triangle ABC is congruent to triangle DEF. We know for certain line AB and line DC are congruent to each other as well as lines BC and EF.

The additional information we need to know is if line AC is congruent to line DF to absolutely be sure.

Remember SSS by definition is:  Triangles are congruent if all three sides in one triangle are congruent to the corresponding sides in the other. If all three sides in one triangle are the same length as the corresponding sides in the other, then the triangles are congruent.

SSS congruence of triangles is proved when all three sides of considered two triangles are congruent(that is, of equal measures).

Thus, the needed answer is:

Line segment DF is congruent to line segment AC

or [tex]\overline{DF} \cong \overline{AC}[/tex]

If two considered triangles have corresponding side pairs congruent(for all three sides), then both the triangles are congruent. This proof of congruence is triangle is done by SSS congruence of triangles (Side Side Side congruence)

Since it is given that the sides CB and FE are congruent,

and since it is given that sides AB and DE are congruent too,

thus, for SSS congruence of both considered triangles, we need the third side pair of the given triangles to be congruent too.

Thus, we need the line segment DF congruent to the line segment AC.

We can write it symbolically as:

[tex]\overline{DF} \cong \overline{AC}[/tex] (remember that order doesn't matter here. You could've written [tex]\overline{AC} \cong \overline{DF}[/tex] too.)

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Answer:

a

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Subtract x from each side so you get

2y = -x-6

Then divide them by 2 to get

y = -x-6/2

Answer:

[tex]m=6[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (1, 5)

Point (0, -1)

Step 2: Find slope m

Answer:

She can cut 180 (9 - inch) pieces

Step-by-step explanation:

A dressmaker needs to cut 9-inch pieces of ribbon from rolls of ribbon that are 9 feet in length. How many 9-inch pieces can the dressmaker cut from 15 of these rolls of ribbon? Before you try that problem, answer the question below.

Step 1

How many inches of ribbon does the dressmaker have, in total?

1 roll of ribbon = 9 feet

15 rolls of ribbon = x feet

x = 15 roll × 9 feet

x = 135 feet

Converting from Feet to inches

1 foot = 12 inches

135 feet = x inches

Cross Multiply

x = 135 × 12 inches

x = 1620 inches

The dress maker cuts 9 inches each

How many 9-inch pieces can the dressmaker cut from 15 of these rolls of ribbon?

15 rolls of ribbon = 1620 inches of ribbons

Hence: = 1620 inches/9

= 180 pieces

She can cut 180 (9 - inch) pieces

Answer:

c

Step-by-step explanation:

Answer:

c is the answer and that's a good tung twister math problem

Answer:

i told you in the comment it equals 7

Step-by-step explanation:

Answer:

y=1.5x+2.5 ,

y=32x+52 ,

y=32x+2.5 ,

or

y=1.5x+52

The equation in slope-intercept form to model the cooking time in minutes, y, for x patties is y = (3/2)x + 1.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given,  On a box of chicken patties state that one patty should be cooked for 2.5 minutes in the microwave.

If more than one patty is cooked, an additional 1.5 minutes should be added per patty.

So,  The equation in slope-intercept form to model the cooking time in minutes, y, for x patties.

If we write this as y = 1.5x + 2.5 and put x = 0 , y = 2.5 which is not satisfying the given statement.

∴ y  = 1.5x + (2.5 - 1.5). (the additional patty cooking time).

y = 1.5x + 1.

y = (3/2)x + 1.

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Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

A’ (6,-2)

B’ (1,3)

Step-by-step explanation:

Here, we want to give the coordinates after a counterclockwise rotation of 90 degrees

Given a point with coordinates (x,y)

A counterclockwise rotation at 90 degrees to the origin will yield the coordinates (-y,x)

So A (-2,-6) will be A’ (6,-2) while B (3,-1) will be B’ (1,3)

Answer: 23.74625 miles

Answer:

88 hrs

Step-by-step explanation:

1/3/4 = 7/4hr ; 7/4 = 1.75hr (the number of hours used to travel for 154km)

154/1.75 = 88 (the number of km van travels per hour)

Answer:

(-4,6)

Step-by-step explanation:

graph in second quadrant

Answer:

BEcause the sign is a greater than its gonna have a hollow circle. greater than or equal too would have a filled in circle. To solve, divide by -1/3 each side to find the answer

-4>-4/3s

-4/ -4/3>2

-4/-4/3=3

3>s

Therefore

3>S

So you are going to put a hollow circle at 3 and draw an arrow going to the left of 3.

Step-by-step explanation:

Answer:

s>3

Step-by-step explanation:

place it on 3, it may be an open circle. :)

You’re welcome :)

Answer:

Potential Energy = 8550 Joules

Step-by-step explanation:

The potential energy of the body is the energy possessed by it due to its position therefore:

Potential energy = mgh

m = mass of the body measured in kg

g= acceleration due to gravity

h= height or distance measured in meters

But in the question asked we are not given mass but weight so

w= mg   measured in newtons

We have

w= 190 N

h= 45m

PE= mgh

PE  = w h= 190 * 45 =  8550 J

The unit of energy is Joule.

Answer: 6 1/2

Step-by-step explanation:

six and 1 half of a hour

Answer:

Vectors are usually described in terms of their components in a coordinate system. Even in everyday life we naturally invoke the concept of orthogonal projections in a rectangular coordinate system. For example, if you ask someone for directions to a particular location, you will more likely be told to go 40 km east and 30 km north than 50 km in the direction 37° north of east.

In a rectangular (Cartesian) xy-coordinate system in a plane, a point in a plane is described by a pair of coordinates (x, y). In a similar fashion, a vector

→

A

in a plane is described by a pair of its vector coordinates. The x-coordinate of vector

→

A

is called its x-component and the y-coordinate of vector

→

A

is called its y-component. The vector x-component is a vector denoted by

→

A

x. The vector y-component is a vector denoted by

→

A

y. In the Cartesian system, the x and y vector components of a vector are the orthogonal projections of this vector onto the x– and y-axes, respectively. In this way, following the parallelogram rule for vector addition, each vector on a Cartesian plane can be expressed as the vector sum of its vector components:

Step-by-step explanation:

Answer:

approximately 85 m

Step-by-step explanation:

use the law of cosines

x²=120²+90²-2(120)(90)cos(45)

*120 & 90 are given values

*45 is from 25+20; bcuz of alternate interior angles, the other angle from mirror 1 is 25 degrees, making the total 45 degrees

x=√120²+90²-2(120)(90)cos(45)

x=85, the distance btwn origin point and mirror 2

Answer:

16

Step-by-step explanation:

3+5×5-9÷3×4

3+25-3×4

3+25-12

3+13

16

Answer:

Value of a =3

Value of b =5

Step-by-step explanation:

[tex]If\ the\ polynomial\ p\left(x\right)\ =\ 2x^3\ +\ ax^{2\ }-\ 7x\ +b,\ p\left(1\right)\ =\ 3\ and\ p\left(2\right)\ =\ 19,\ find\ a\ \&\ b[/tex]

We are given p(1)=3 and p(2)=19

Putting x =1 to find p(1)

[tex]p\left(x\right)\ =\ 2x^3\ +\ ax^{2\ }-\ 7x\ +b\\p(1)=2(1)^3+a(1)^2-7(1)+b\\We \ know \ p(1)=3\\3=2+a-7+b\\3=-5+a+b\\a+b=3+5\\a+b=8[/tex]

Now putting x=2 as p(2)=19

[tex]p\left(x\right)\ =\ 2x^3\ +\ ax^{2\ }-\ 7x\ +b\\p(2)=2(2)^3+a(2)^2-7(2)+b\\We \ know \ p(2)=19\\19=2(8)+4a-14+b\\19=16+4a-14+b\\4a+b=19-16+14\\4a+b=17[/tex]

Solving these equations to find values of a and b

[tex]a+b=8---eq(1)\\4a+b=17---eq(2)[/tex]

Subtract both equations

[tex]a+b=8\\4a+b=17\\-\ \ \ - \ \ \ -\\------\\-3a=-9\\a=\frac{-9}{-3}\\a=3[/tex]

So, value of a =3

Now finding value of b bu putting value of a in equation 1

[tex]a+b=8\\3+b=8\\b=8-3\\b=5[/tex]

So, Value of b =5

Answer:

42 degrees

Step-by-step explanation:

Answer:

x=42°

Step-by-step explanation:

In any triangle, when all three angles are added together, their sum will always be 180°:

∠1+∠2+∠3=180

Insert any known values:

[tex]29+109+x=180[/tex]

Simplify the addition:

[tex]138+x=180[/tex]

Use inverse operations to find angle three. Subtract 138 from both sides:

[tex]138-138+x=180-138\\\\x=42[/tex]

Therefore, the unknown angle is 42°.

:Done