Hamilton's rule is "Add 4." If he starts with 8, which number would be the 5th number in his pattern?

A. 28
B. 24
C. 20
D. 12

First make note of the domain of the left hand side.

• √(x + 1) is defined for x + 1 ≥ 0, or x ≥ -1.

• √(2 + √(x + 1)) is defined for 2 + √(x + 1) ≥ 0. If x ≥ -1, then this condition is satisfied.

• √(7 + √(2 + √(x + 1))) is defined for 7 + √(2 + √(x + 1)) ≥ 0. This condition is also satisified automatically if x ≥ -1.

Now solve the equation. Taking the square of both sides of

√(7 + √(2 + √(x + 1))) = 3

yields

7 + √(2 + √(x + 1)) = 3² = 9

√(2 + √(x + 1)) = 2

Squaring both sides again gives

2 + √(x + 1) = 2² = 4

√(x + 1) = 2

And once more,

x + 1 = 2² = 4   ⇒   x = 3

Answer:

the rise is 6 and the run is 4

Answer:

The rise is 6 and the run is 4

Answer:

17,984,000

Step-by-step explanation:

because it is

Answer:

-5+.3

Step-by-step explanation:

eeeeeeee

Answer:

0% chance

Step-by-step explanation:

there are no green marbles

Marbles no

There is no green marbles

So it will never occur(impossible event)

Hello there! :)

We are given that the line passes through the point (4,5) and that it's perpendicular to the line y=2x-3.

Perpendicular lines have slopes that are opposite reciprocals.

This means we take a number, make it negative, and flop it over:

2

-2

-1/2

So the slope of the line perpendicular to y=2x-3 is -1/2.

Now, we have the slope and a point that the line passes through, so we can write the equation in point-slope form, which looks like so:

y-y1=m(x-x1)

Where

y1 is the y-coordinate of the point

m is the slope

x1 is the x-coordinate of the point

Now, let's plug our values into the equation:

y-y1=m(x-x1)

y-5=-1/2(x-4)

y-5=-1/2x+2

y=-1/2x+2+5

y=-1/2x+7

Hence, that is the equation of the line.

Hope it helps.

~A lonely teen who helps others with a smile

-Grace :-)

Good luck.

Answer:

x+5/x+6

Step-by-step explanation:

The linear function must be represented in the form y = mx + b,  where y and x are variables.

A linear function is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the y intercept

From the table, the linear function must be represented in the form y = mx + b,  where y and x are variables.

Find out more on linear function at: https://brainly.com/question/4025726

Answer:

10

Step-by-step explanation:

8 ÷ 4/5 = 10

I hope this helps!!

Difference between relation and function?

So

Check option A

2 is repeated in domain

Hence table A is a relation.

Table B is a function

Explanation:

30 ÷3 of [37-{30÷(13-20+12)}-26]

= 30÷3 × [37-{30÷(25-20)}-26]

= 30÷3 × [ 37-{30÷(5)}-26]

= 30÷ 3 × [37-{30÷5}-26]

= 30÷3 × [ 37 - {6}-26]

= 30÷3 × [ 37-6 - 26]

= 30÷3 × [ 37 - 32]

= 30÷3 × [5]

= 30÷3 ×5

= 30÷15

= 2Ans.

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Answer:

[tex] \rm \: Given,30 ÷3 \: of \: [37-{30÷(13-20+12)}-26][/tex]

[tex] \rm \: The \: operation \: 'of'[/tex]

[tex] \rm \: The \: expressions \: like \: twice \: of,one \: fifth \: of, eight \: percent \: of,the \: meaning \: 'of' \: is \: multiplication \: with.[/tex]

[tex] \rm \: 30 ÷3 \times [37-{30÷(13-20+12)}-26][/tex]

[tex] \rm \: 30 ÷3 \times [37-{30÷(13 + 12 - 20)}-26][/tex]

[tex] \rm30 ÷3 \times [37-{30÷(25-20)}-26][/tex]

[tex] \rm30 ÷3 \times [37-{30÷(5)}-26][/tex]

[tex] \rm \: 30 ÷3 [37-{30÷5}-26][/tex]

[tex]30 ÷3 [37-{6}-26][/tex]

[tex] \rm \: 30 \div 3\times [31 - 26][/tex]

[tex] \rm30 \div 3 \times 5[/tex]

[tex] \rm \: 10 \times 5[/tex]

[tex] \rm \: 50[/tex]

Answer:

C

Step-by-step explanation:

This function starts at point (1, 2), so 2 is inclusive. Therefore the range of this function is:

[tex]y \geq 2[/tex]

Answer:

The first one:

Equation n+(n+1) +(n+2)=36

3n+3=36

the numbers are 11, 12,13

Step-by-step explanation:

So if you plug ll for n you get 36

So if you plug 12 in for in u get 39

Then in you plug 13 in for n u get 41

I hoped that helped

Answer: First option

The numbers are 11, 12, 13

11+12+13 = 36

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

Explanation:

Here's one way to solve for n

n+(n+1)+(n+2) = 36

3n+3 = 36

3n = 36-3

3n = 33

n = 33/3

n = 11

That leads to n+1 = 11+1 = 12 and n+2 = 11+2 = 13

So the three numbers are 11,12,13

11+12+13 = 23+13 = 36 which confirms the answer

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

For the second option, it's not clear how the student got n = 15. If I had to guess, they probably divided both sides by 3, then added 3 to both sides.

As a quick check, 15+16+17 = 31+17 = 48 which doesn't match up with the 36.

Or you could note that the units digits add to 5+6+7 = 11+7 = 18. That 8 doesn't match with the 6 in 36. So this is an even quicker way to rule out the second option.

Answer:

[tex]\frac{3^{12}}{3^{10}}[/tex]

Step-by-step explanation:

+ or x you plus the indices

- or divide you minus the indices

so 3^8 x 3^4 would be 3^12

and 3^2 x 3^8 would be 3 ^10

According to the table, f(x) = 9 when x = -5. So if g(x) is the inverse of f(x), it follows that g(9) = -5.

By the inverse function theorem,

[tex]g'(9) = \dfrac1{f'(g(9))} = \dfrac1{f'(-5)} = \boxed{-\dfrac14}[/tex]

Answer:

below

Step-by-step explanation:

1 day = 580g

2weeks(14days)= 580×14g

= 8,120g

1g= 0.001kg

8,120g= 8,120 × 0.001(kg)

=8.12kg

Answer:

Reduction: new dimensios are 1.5ft x 2.5ft

Step-by-step explanation:

Since he is using a scale factor of 1/2, we merely multiply everything by 1/2

3 ft * 1/2 = 1.5 ft

5 ft * 1/2 = 2.5 ft

It is obviously a reduction first since the scale factor is less than one, but you can also see that the dimensions decreased.

Answer:

The new dimensions are 1.5 ft wide and 2.5 ft long. The picture would be a reduction.

Step-by-step explanation:

Since the scale factor is less than 1 we know that the dimensions are smaller than the original. So we multiply 3 and 5 by 0.5. We get the new dimensions of 1.5ft wide by 2.5 ft long. Knowing this information we can conclude that the new picture is a reduction.

Answer:

I think its 21 But if its times then its 240

Step-by-step explanation:

Hope this helped

Answer:

120

Step-by-step explanation:

formula for volume is area×height

so

v=1 /2b×h×l

v=1/2×5×4×12

v=2.5×4×12

v=10×12

[tex]v= {120cm}^{3} [/tex]

Answer:

The number 3 is more accurate

Answer:

Since the cost for each pie is $5 and $9, the first equation should be 5x+9y=133

Since there are fewer 8-inch pies, the second equation should be x=2y to balance the values.

Step-by-step explanation:

Answer:

The answer would be A

Step-by-step explanation:

a. the pumpkins maximum height is 204.06 feet and it hits the ground after 7.01 seconds.

Answer:

62.8 ft

Step-by-step explanation:

Circumference = 2πr

2 * 3.14 * 10 = 62.8

The equation of a line in point-slope form is expressed as:

y = mx + b

Given the inequality -2y > 7x + 4, this can also be expressed as:

-2y > 7x + 4

y < -7/2x -4/2

y< -7/2x - 2

This shows that the line will be a dashed line and cuts the y-axis at y= -2

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Answer:

cant even see the screen good

Step-by-step explanation:

2055

I think cuz when u substitute 170 min for x which is min and solve u get 2055

(feet) y = 8.19(170) + 663

y = 1392.3 + 663

y = 2055.3 (round to nearest WHOLE number)

y = 2055 ft

hope this helps!

137 - 16X = Y

Since Lorraine is picking blackberries in her backyard at a rate of 15 berries per minute, and after 16 minutes of picking, there are still 137 blackberries left to pick, to determine an equation that models how many berries are left (y) after x minutes of picking, the following calculation must be performed:

137 - 16X = Y

Thus, for example, after 5 minutes the calculation would be as follows:

Learn more about maths in https://brainly.com/question/25989509

Answer:

138485.1

Step-by-step explanation:

35% of 213,054 = 74568.9

213,054 - 74568.9 = 138485.1

36.)B

37.)C

38.)C

39.)C

40.)A

hoped that helped :)

Answer:  8.6

Step-by-step explanation:

8.57142857143 -->     8.6

Answer:

regan ate more than maggie