A publishing company creates a book for young children. To find the number of pictures on the page, the book says to multiply the page number by 3 and add 1. She discovers this pattern:

Which would best complete the pattern?
A. 4 x 3 = 12, 4 + 12 = 16, 16
B. 4 x 3 = 12, 12 + 1 = 13, 13
C. 4 x 3 = 12, 12 = 3, 3
D. 4 + 3 = 7, 7 x 3 = 21, 21

Answer:

32%

Step-by-step explanation:

(126060$-95500)/ 95500

30560/95500×100%

32%

Answer:

From looking at the graph, we can already tell it's a negative slope because it's tilting down, so we can eliminate A and D. Where the line intersects the y-axis is the y-intercept or b. Since it intersects at (0,2), the equation should be y=-2x+2.

Answer:

Multiply the length times the width

Step-by-step explanation:

First one finds diameter, third one finds diameter, and fourth one finds triangle. The second one finds the area of a rectangle.

Answer:

I think it is b or length times width

Answer:

the answer is b

Step-by-step explanation:

bc they are not both equivalent.

The pair (B) is not equivalent after using the property of logarithm option (B) is correct.

It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

[tex]\rm a^b = c\\log_ac =b[/tex]

It is given that:

The expression is given in the options.

As we know, the expression can be defined as the combination of constants and variables with mathematical operators.

It is required to find the equivalent pairs:

A) In(x) = y and [tex]\rm x = e^y[/tex]

As we know from the log property:

logₙm = a

[tex]\rm \rm n^a = m[/tex]

The pairs are equivalent.

B) [tex]\rm log_p N = b \ and \ b^p = N[/tex]

Again using the log property:

logₙm = a

[tex]\rm \rm n^a = m[/tex]

The pairs are not equivalent.

C) [tex]\rm x = \sqrt y \ and \ x = y^{\dfrac{1}{2}}[/tex]

Using the property of exponent we can write the above expression:

The pairs are equivalent.

D) [tex]\rm log_b N = p \ and \ b^p = N[/tex]

logₙm = a

[tex]\rm \rm n^a = m[/tex]

The pairs are equivalent.

Thus. the pair (B) is not equivalent after using the property of logarithm option (B) is correct.

Learn more about the Logarithm here:

brainly.com/question/163125

#SPJ2

Answer:

966 joules

Step-by-step explanation:

Step one:

given data

mass of car= 950kg

angle of incline= 15°

Applied force= 200N

displacement = 5m

If we apply a force on an object through a distance work is done, hence Mechanical work is the product of a force applied on an object and its displacement while that force is applied

Step two:

Work done= Force * distance

Since the car is moved on an inclined plane, the expression for the work done is

Work-done= Frcos∅

where r is the distance moved

Work-done= 200*5cos 15

Work-done= 200*4.83

Work-done= 966 joules

Answer:

y=-2.5x-8.5

Step-by-step explanation:

Answer:

M = 36

Step-by-step explanation:

Since SAM = ZYX

We can assume that all angles on SAM will equal the same as ZYX.

There are 180° total in a triangle, so you add 60 + 84, which equals 144, then you subtract 144 from 180 to find the remaining angle.

Therefore M = 36°

Answer:

We have the relation:

aₙ = 10 + 2*(n - 1)

And we want to write this in fuction form:

y = f(n)

first we have:

aₙ = y =  10 + 2*(n - 1)

We can rewrite this as:

y = 10 + 2*n - 2

y = 2*n + (10 - 2)

y = 2*n + 8

Now we want to find the y-intercept, this is the value of the function when the variable is equal to zero.

Then if we take n = 0, we get:

y = 2*0 + 8

y = 8

The y-intercept is 8.

Answer:

ye

Step-by-step explanation:

sorry!

Answer:

4x+3=27

Step-by-step explanation:

So there are 4 x so the first part of the 3quation should be 4x then you have 3 so you add three. Your equation should now be 4x+3, and then the sum of all that should equal 27. So therefore the equation is 4x+3=27

Answer:

Step-by-step explanation:

Here you go mate

Step 1

6x-8=5x+4  Equation/Question

Step 2

6x-8=5x+4  simplify

6x-8=5x+4

Step 3

6x-8=5x+4  Subtract

x-8=4

Step 4

x-8=4  Add 8

answer

x=12

Hope this helps

Answer:

The answer is x = 12

Step-by-step explanation:

So, first you're going to add 8 on both sides

6x - 8 +8 = 5x + 4 + 8

Then simplify

6x = 5x + 12

Then subtract 5x from both sides

6x - 5x = 5x + 12 - 5x

Then simplify again and you get

x = 12

Hope this helped!

Answer:

[tex]x=\frac{c^2y^2}{4}[/tex]

Step-by-step explanation:

[tex]\frac{2\sqrt{x}}{c}=y\\\\2\sqrt{x}=cy\\\\\sqrt{x}=\frac{cy}{2}\\\\x=\frac{c^2y^2}{2^2}\\\\x=\frac{cy}{4}[/tex]

Answer:

       c²y²

x = ----------

         4

Step-by-step explanation:

Let's isolate √x:  Multiply both sides of this equation by c/2.  We get:

          c*y

√x = ---------

            2

To find an expression for x, square both sides of this result:

      cy

x = {------ }²

         2

This is equivalent to:

       c²y²

x = ----------

         4

Answer:

sides are 17 cm and 27 cm

Step-by-step explanation:

let the side be x then the adjacent side is x + 10

The perimeter is then

x + x + x + 10 + x + 10 = 88, that is

4x + 20 = 88 ( subtract 20 from both sides )

4x = 68 ( divide both sides by 4 )

x = 17

and x + 10 = 17 + 10 = 27

The sides of the parallelogram are 17 cm and 27 cm

Answer:

No Tyler and Cassie will not earn equal amounts

Step-by-step explanation:

Answer:

d = 97 m

Step-by-step explanation:

Given that,

The dimensions of the rectangular ceiling is 65 meters by  72 meters.

We need to find how much garland will Hector need to reach from one corner of the ceiling to the  opposite corner. Let it is d. It will be the diagonal of the rectangle. We can find it using Pythagoras theorem as follows :

[tex]d=\sqrt{65^2+72^2} \\\\d=97\ m[/tex]

So, 97 m of garland Hector will needed to reach from one corner of the ceiling to the opposite corner.

Answer:

19y - 34x = 376

Step-by-step explanation:

We are to write the linear equation of a line passing through the points

(-20, -16), (-1, 18)

Using the points slope form of the equation expressed as;

y-y0 = m(x-x0)

m is the slope

(x0,y0) is any point on the line

m = y2-y1/x2-x1

m = 18-(-16)/-1-(-20)

m = 18+16/-1+20

m = 34/19

Substitute the slope m =34/19 and the point (-1, 18) into the expression given

y- 18 =34/19(x-(-1))

19(y-18) = 34(x+1)

19y - 342 = 34x+34

19y-34x = 34+342

19y - 34x = 376

Hence the required equation is 19y - 34x = 376

Answer:

$9.55

Step-by-step explanation:

4/100=0.04

0.04x9.95=0.40

9.95-0.40=9.55

4% of 9.95 is 0.398, so you would add about $0.40 to the original amout.

Answer:

First, let's find the equations for our lines:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

f(x) passes through (5,0) and (10, 10), then the slope is:

a = (10 - 0)/(10 - 5) = 10/5 = 2.

then we have:

y = 2*x + b

And when x = 5, we have y = 0.

0 = 2*5 + b

0 = 10 + b

b = -10

Then the equation for f(x) is:

y = f(x) = 2*x - 10.

Now for g(x) we have the points:

(3, 0) and (2, 10)

a = (10 - 0)/(2 - 3) = -10

y = -10*x + b

0 = -10*3 + b

b = 30.

y = g(x) = -10*x + 30.

A) Ok, the transformations:

Transformation 1 or T1.

f(x) = 2*x - 10

g(x) = -10*x + 30.

Then, we start with f(x):

First, we can move f(x) up 4 units and get:

f'(x) = 2*X - 6

Now we can dilate f(x) with a scale factor of -5 from the origin, now we get:

f''(x) = -5*f'(x) = -10*x + 30.

And this is g(x).

Transformation 2 or T2.

Move f(x) up 10 units, so now we have:

f'(x) = 2*x

Do a reflection over the x-axis, so the sign of y changes, and now we get:

f''(x) = -2*x

Do a dilation of scale factor 5

f'''(x) = 5*-2*x = -10*x

Now do a vertical translation of 30 units up.

f''''(x) = -10*x + 30 = g(x).

These are two transformations that start with f(x) and end with g(x).

B) Ok, as i was writting the transformations i already solved them, so this part is already done.

C) the equation for the transformations are:

T1) g(x) = -5*(f(x) + 4)

T2) g(x) =  -(f(x) + 10)*5 + 30

Answer:

14 cm

All you have to do is add the four sides up and you're good to go! :)

Answer:

The answer is 14

Step-by-step explanation:

perimeter - means to add . You add all the sides

area - means multiplication . You multiply the two numbers on the bottom so for an example is this was area the answer would've been (A-10)

Answer:15

Step-by-step explanation:

distance = Sqrt((x2-x1)^2 +(y2-y1)^2)

15-3 =12

16-7=9

12^2 = 144

9^2 = 81

144+81 = 225

square root of 225 = 15

the distance is 15

Answer:

area= 50.2654825

dssssss

Answer:

48 if pi is equal to 3

50.48 if pi is equal to 3.14

Step-by-step explanation:

Answer:

20 weeks

Step-by-step explanation:

If 20 kilograms of paper have already been recycled, and the goal is 40 kilograms, subtract the 20 kg from the 40 kg. You are left with a remaining 20 kg to recycle. If the new plan has the office recycling 1 kg a week, mulitply that by 20 kg to get 20 weeks.

It will take the office 20 weeks to reach the total 40 kg of recycled paper.

Answer:

40 minutes

Step-by-step explanation:

47-7 is 40

Answer:

Slope is 1

Step-by-step explanation:

(-4,-1) (-3,1)

m =  y2 - y1 / x2 - x1

Answer:

2

Step-by-step explanation:

Slope is defined as change in y over change in x

if we count, we can tell that the change in y is up 2 boxes for every 1 box you take to the right. We count 1 box right every time so we are always going in the positive direction.

Since slope is change in y over change in x, then you get 2/1 = 2.

Answer:

4%

Step-by-step explanation:

The percentage of the people polled like playing golf =( people that liked playing golf / total number of people polled) x 100

(4/100) x100 = 4%