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Nadya [2.5K]
3 years ago
14

can you guys try to use only 4 fours in this operation ( multiplication, brackets ,addition, subtraction, division and can you f

ind these answers 11 13 and 19 please can you anser
Mathematics
1 answer:
Readme [11.4K]3 years ago
7 0

9514 1404 393

Answer:

  not possible

Step-by-step explanation:

Among the first 20 natural numbers, the numbers 10, 11, 13, 14, 18, 19 are not possible to make using four 4s and the four basic arithmetic operations.

__

Below are listed the numbers that can be made and one possible way to do it.

{1, ((4*4)/4)/4}, {2, (4/(4+4))*4}, {3, ((4*4)-4)/4}, {4, ((4-4)*4)+4},

{5, ((4*4)+4)/4}, {6, ((4+4)/4)+4}, {7, (4-(4/4))+4}, {8, ((4*4)-4)-4},

{9, ((4/4)+4)+4}, {12, (4-(4/4))*4}, {15, (4*4)-(4/4)}, {16, ((4*4)*4)/4},

{17, (4*4)+(4/4)}, {20, ((4/4)+4)*4}

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Help with num 4 please.​
kati45 [8]

Answer:

y=1/2(x-1)

Step-by-step explanation:

If x=t^2 and t>0, then t=sqrt(x).

If t=sqrt(x) or x^(1/2) and y =1-1/t, then y=1-x^(-1/2).

The x-intercept is when y=0.

So we need to solve 0=1-x^(-1/2) to find point P.

Add x^(-1/2) on both sides: x^(-1/2)=1.

Raise both sides to -2 power: x=1

So point P is (1,0).

Let's find tangent line at point (1,0).

We will need the slope so let's differentiate.

y'=0+1/2x^(-3/2)

y'=1/(2x^(3/2))

The slope at x=1 is y'=1/(2[1]^(3/2))=1/(2×1)=1/2.

Recall point-slope form is y-y1=m(x-x1).

So our line we are looking for is y-0=1/2(x-1)

Let's simplify left hand side y=1/2(x-1)

4 0
3 years ago
Calculate the slope of a line with a run of 3 and a rise of 9.
Mrrafil [7]

Answer:

<u>Slope = 3</u>

Step-by-step explanation:

Slope is calculated as the "Rise/Run" of a straight line.  The Rise is the change in the value of y, or the amount y changes per change in x.  Run is the change in the x value.  A line with a run of 3 and a rise of 9 is calculated as:

Rise/Run = 9/3 or 3

This means that the value of y will increase by 3 for every increase of 1 in the value of 3.

Slope in "m" in the slope-intercept form of a straight line equation:  y = mx + b

The line y = 3x + 2 tells us the it has a slope of 3 and intercepts the y axis at x = 2.

Example points (y = 3x + 2)

(0,2)

(1,5)

(4,14)

Note that y changes by 12 when x changes by 4.  Rise/Run = 12/4 or 3.

4 0
2 years ago
Bad gums may mean a bad heart. Researchers discovered that 81% of people who have suffered a heart attack has periodontal diseas
IgorC [24]

Answer:

0.405 or 40.5%

Step-by-step explanation:

Let event A=having a periodontal disease

event B=having a heart attack

we are given

P(A)=P(having a periodontal disease)=0.30

P(B)=P(having a heart attack)=0.15

P(A/B)=P(have a periodontal disease/have a heart attack)=0.81

P(B/A)=P(have a heart attack/have a periodontal disease)=?

P(A/B)=P(A∩B)/P(B)

P(A∩B)=P(B)*P(A/B)=0.15*0.81=0.1215

P(B/A)=P(A∩B)/P(A)=0.1215/0.3=0.405

There is 40.5% probability that if someone has periodontal disease will have a heart attack.

7 0
3 years ago
11 minutes left please help
Zanzabum

Answer:

C -16x + 74/5

Step-by-step explanation:

2(x + 7) - 18x + (4/5)

Expand the brackets.

2x + 14 - 18x + (4/5)

Combine like terms.

(2x - 18x) + (14 + (4/5))

-16x + 14 4/5

Convert 14 4/5 to an improper fraction

14 4/5 = ((14 * 5) + 4) / 5 = 74 / 5

Answer = -16x + 74/5

5 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!!!! ALSO SHOW WORK
Dimas [21]

Answer: a) 92 yards, b) 29.29 yards and 672.99 sq. yd.

Step-by-step explanation:

Since we have given that

Area of square pen = 529 sq. yd

Let the length of each side be 'a'.

As we know the formula for "Area":

Area=a^2\\\\529=a^2\\\\\sqrt{529}=a\\\\a=23\ yd

So, the perimeter of the square pen is given by

4\times s=4\times 23\\\\=92\ yd

So, perimeter of square pen = Perimeter of round pen

92=2\pi r\\\\92=2\times 3.14\times r\\\\\dfrac{92}{2}=3.14\times r\\\\\dfrac{46}{3.14}=r\\\\14.64=r

So, the diameter of round pen is 2\times r=2\times 14.64=29.29\ yd

And the area of round pen is

\pi r^2\\\\=3.14\times (14.64)^2\\\\=672.99\ sq.\ yd

Hence, a) 92 yards, b) 29.29 yards and 672.99 sq. yd.

3 0
3 years ago
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