Which of the following situations represent linear growth? Check all of the boxes that apply

Answer:  b=46

Step-by-step explanation:

b+33 = b-13 +  b    the exterior angle  is the sum of two interior angles.

                            so they have to equal each and solve for b

b+33=b -13 + b  

b +33 = 2b -13      

   + 13         +13

b+ 46 = 2b

-b          -b

  46 = 1b

b=46

Answer:

a) y = 5x

b) y = 60

Step-by-step explanation:

a) Standard equation of direct proportion:

y = kx

We need to find k. We can use the given values of x and y to find k.

x = 6; y = 30

30 = k * 6

k = 30/6 = 5

Now we use k = 5 in the standard equation to get this problem's direct proportion equation.

y = 5x

b)

x = 12

y = 5x

y = 5 (12)

y = 60

Answer:

the y intercept is same for both

Step-by-step explanation:

that is the only answer

Answer:

Last 2 choices

Step-by-step explanation:

Points on the graph:

(-2, 4) and (0, -4)

To find b, using the first point

So the equation for the graph is:

=============

1. The slope is positive. no, it is -4 for both

2. Lines are same, so answer is no

3. yes

4. yes

Answer: Stephan's cuboid has 90 cubes more than that of Amina

Step-by-step explanation: As stated in the question, Amina's cuboid has dimensions given as 4 cm by 6 cm by 3 cm. That means Amina's cuboid has a total volume of

Volume = L x W x H

Volume = 4 x 6 x 3

Volume = 72 cm³

A cube by standard has the length, width and height all measuring the same. This means, the in a cuboid with a volume of 72 cubic centimetres, you can find a cube with each side measuring 2 centimetres as follows;

Volume of cube = 2 x 2 x 2

Volume of cube = 8 cm³

Therefore,

Number of cubes = Volume of cuboid / Volume of cube

Number of cubes = 72/8

Number of cubes = 9

However, Stephan's cuboid now has each side measuring 5 centimetres more than each side of Amina's cuboid, hence Stephan's cuboid has the following dimensions,

L = 9 (4 + 5)

W = 11 ( 6 + 5)

H = 8 (3 + 5)

The volume of Stephan's cuboid therefore is derived as,

Volume = L x W x H

Volume = 9 x 11 x 8

Volume = 792 cm³

The number of cubes (with each side measuring 2 cm) in Stephan's cuboid is now derived as;

Number of cubes = Volume of cuboid / Volume of cube

Number of cubes = 792/8

Number of cubes = 99

From the results derived above, Stephan's cuboid has 99 cubes while Amina's cuboid has 9 cubes. The difference between both is 90 cubes.

Answer:

Hey there!

6(7-4n)

42-24n

-24n+42

Hope this helps :)

Answer:

42-24n

Step-by-step explanation:

(7-4n)6

42-24n

-24n+42

Hope this helps ;) ❤❤❤

Answer:

No solution

Step-by-step explanation:

2(x-3)+9=3(x+1)+x     Distribute on both sides

2x-6+9=3x+3+x        Combine like terms on both sides

2x+3=4x+3

   -3       -3               Subtract 3 from both sides

2x=4x                      

-2x  -2x                    Subtract 2x

0=2x                        There is no solution because there is no value of x to make the equation true.

Hey there! :)

Answer:

0.3.

Step-by-step explanation:

Looking at the row for "Less than 80° F", the column for "Rain" shows a 0.3 probability in the table. Therefore:

The probability of rain on a day less than 80°F is 0.3.

I'm assuming that you want me to solve for v, so I'll do that.

-6/5 - 2/3v + 4/15 + 1/3v

step 1: we have to make sure that the two fractions have the same denominator, so when they have the same denominator, the equation will look like this:

-18/15-2/3v+4/15+1/3v

step 2: so now, we can solve and say that -18/15+4/15 = -14/15

step 3: our equation now looks like this: -14/15 - 2/3v + 1/3v. we can tell that the two v's have the same denominator so you can solve them.

-2/3v + 1/3v = -1/3v

step 4: -14/15 - 1/3v = 0

-14/15 - 1/3v + 1/3v = 1/3v (we're doing this because we need to get -1/3 to the other side of the equal sign and as soon as we do, the sign switches).

Please make this the Brainliest if it helped! Thanks :)

Answer:

A

Step-by-step explanation:

edge 2020

The function shown in graph (A) has a constant additive rate of change is -1/4 option (A) is correct.

It is defined as the change in values of a dependent variable with respect to the independent variables.

As we know,

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

From the first graph:

The line goes through the points:

(-2, 2) and (2, 1)

y - 1 = (1-2)/(2+2)[x -2]

y - 1 = (-1/4)[x -2]

y = -x/4 + 1/2 + 1

y = -x/4 + 3/2

The constant additive rate of change = -1/4

Thus, the function shown in graph (A) has a constant additive rate of change is -1/4 option (A) is correct.

Learn more about the rate of change here:

brainly.com/question/12786410

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Answer:

12 mph

Step-by-step explanation:

If she travels 3 miles in 15 minutes she travels 3 * 4 = 12 miles in one hour so the answer is 12 mph.

Answer:

Your average speed was 12.0 Miles per hour (mph)

Step-by-step explanation:

Time spent

0

hours

15

minutes

0

seconds

How much distance did you cover during that time?

3

By taking the quotient between the total distance and the distance traveled with one tank, we conclude that the correct option is B.

We know that the car holds 25 gallons, and gets 18 miles per gallon.

Then, with one tank, the distance that the car can travel is:

25*18mi = 450mi

The number of times that the tank must be filled is equal to the quotient between the total distance of the trip, and the distance traveled with one tank, it is:

1350mi/450mi = 3

This means that the tank must be filled 3 times, so the correct option is B.

If you want to learn more about quotients, you can read:

https://brainly.com/question/7068223

Answer:

b:)

Step-by-step explanation:

Answer:

18.84 meters.

Step-by-step explanation:

The formula for a circle is πr^2.

πr^2 = 28.26

3.14 * r^2 = 28.26

r^2 = 9

r = plus or minus 3.

But since this deals with the area of a circle, there is no way a radius can be negative. So, the radius is 3 meters.

The formula for the circumference is 2πr.

2 * 3.14 * 3 = 6 * 3.14 = 18.84.

So, the circumference of the circle is 18.84 meters.

Hope this helps!

Answer:

A is approximately 201 cm^2

Step-by-step explanation:

The diameter of the circle is 16 so the radius is 1/2 of the diameter

1/2 * 16 = 8

The area of the circle is

A = pi r^2

A = 3.14 * 8^2

A =200.96 cm^2

A is approximately 201 cm^2

Answer:

it should be 201.062

Step-by-step explanation:

area of a circle is pi times the radius to the power of 2.

Answer:

The answer is

Step-by-step explanation:

[tex]( {5x}^{7} {y}^{2} )( { - 4x}^{4} {y}^{5} ) = - 20 {x}^{a} {y}^{b} [/tex]

Multiply the terms on the left side of the equation

That's

[tex] - 20 {x}^{11} {y}^{7} = - 20 {x}^{a} {y}^{b} [/tex]

Since the bases are the same we can equate the exponents

That's

[tex] {x}^{11} = {x}^{a} [/tex]

a = 11

And

[tex] {y}^{7} = {y}^{b} [/tex]

b = 11

Therefore

a = 11 and b = 7

Hope this helps you

Answer:

y = -3/2x-9/2

Step-by-step explanation:

We have two points ( -3,0) and (-1,3)

The slope is

m = (y2-y1)/(x2-x1)

   = (-3-0)/(-1- -3)

   = (-3-0)/(-1+3)

    = -3/2

Using slope intercept form

y = mx+b where m is the slope and b is the y intercept

y =-3/2x+b

Using the point (-3,0)

0 = -3/2(-3) +b

0 = 9/2+b

b = -9/2

y = -3/2x-9/2

Answer:

49 degrees

Step-by-step explanation:

first, you add 90 and 41, as in right angle= 90 degrees.

=131 degrees

then you subtract,

180-131= 49 degrees.

hope this helps!

The measurement of the third angle in the given triangle is 49°. Therefore, the correct answer is option A.

Given that, one angle of a triangle is a right angle.

The second angle measures 41 degrees.

Let the measurement of the third angle be x.

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

Here, 90°+41°+x=180°

131°+x=180°

x=180°-131°

x=49°

Therefore, the correct answer is option A.

To learn more about the angle sum property of a triangle visit:

https://brainly.com/question/8492819.

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Answer:

23,4

Step-by-step explanation:

Answer:

36:12. 36 is the teeth on the front socket and 12 is the teeth on the rear socket. All you need to do is simplify by finding the greatest common factor (GCF) of 36 and 12-which is 12, then divide by the GCF. This gives you 3:1. The gear ratio for the bike is 3 teeth on the front socket for every 1 teeth on the rear socket (3:1)

If you want to add friends on brainly click their profile picture you will see send friend request click on it and then boom you are friends with that person but you have to wait until the person add you back.

Step-by-step explanation:

Mark me as brainliest

The ratio would start as 36:12

The front number (36) can be divided by the back number (12)

The 36:12 can be reduced to 3:1

The ratio is 3:1

I think when you click on someone name and go to their profile there is a button to request as a friend.

Answer:

The y-intercept is 1/3

Step-by-step explanation:

The y-intercept of the function is 1/3 because if u put into form y=mx+b then the b is the y-intercept.

Answer:

1/3

Step-by-step explanation:

For this formula you look at the b value from the formula y = mx + b where in this case b = 1/3

Answer:

Tan B = AC/ BC

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp side/ adjacent side

Tan B = AC/ BC

Answer:

y = 0

z = 5

Step-by-step explanation:

Since you cannot have a zero in the denominator (divide by 0 or undefined error), you have to exclude values that can turn the bottom into a zero. If you plug in 0 for y, you would get an error, and if you plugged in z for 5, you would get another error because you would be multiplying 0 in the denominator, so those 2 values must be excluded.

Answer:

0.865

Step-by-step explanation:

To solve for the probability we would be using the formula:

F(x) = 1 - e^−λx

Therefore, P(x > 2000) = F(x) = 1 - e^−λx

Mean = 1000 hours

λ = 1/mean = 1/1000 hours

x= 2000 hours

F(x) = 1 - e^−(1/1000)2000

F(x) = 1 - e^−2

= 0.8646647168

Therefore, the probability the the circuit will last at least 2000 hours = 0.865

Hey there! :)

Answer:

y = 4x + 48

Step-by-step explanation:

Original equation:

y = 1/4x -12

Switch 'x' and 'y' to solve for the inverse:

x = 1/4y - 12

Add 12 to both sides:

x + 12 = 1/4y - 12 + 12

x + 12 = 1/4y

Multiply both sides by 4:

4(x+12) = y

4x + 48 = y

The inverse is y = 4x + 48

Answer:

4x + 48

Step-by-step explanation:

f(x) = 1/4x - 12

y = 1/4x - 12

Add 12 to both sides.

y + 12 = 1/4x

Multiply both sides by 4.

4y + 48 = x

Switch variables.

4x + 48 = y

Answer:

(ab+a-b+1)(ab-a+b+1)

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

when multiply fraction you multiply the fration across so in this case

1/2x1/2 = 1/4

Answer:

Explanation:

Use this rule: a/b*c/d=ac/bd

[tex] \frac{1 \times 1}{2 \times 2} [/tex]

Simplify 1*1 to 1

[tex] \frac{1}{2 \times 2} [/tex]

Simplify 2*2 to 4

[tex] \frac{1}{4} [/tex]

Hope this helps...

Good luck on your assignment..

Answer:

48

Step-by-step explanation:

The formula for finding the area of a rectangle is: l * w = a

So 12*4 = 48.

Answer:

in 1st sequence put 1 instead of n

i.e

a1=3×1+2

=3+2

=5

Step-by-step explanation:

now do all the 50 terms by placing 1 to 50 instead of n

Answer:

-1, 1

Step-by-step explanation:

what is 1/3 of -3 and 3