Forensic specialists can estimate the height of a deceased person from the lengths of the person's bones. These lengths are substituted into mathematical inequalities. For instance, an inequality that relates the height h, in centimeters, of an adult female and the length f, in centimeters, of her femur is |h − (2.47f + 54.10)| ≤ 3.72. Use this inequality to estimate the possible range of heights, rounded to the nearest 0.1 centimeter, for an adult female whose femur measures 32.25 centimeters.

Answer:

i think 4 attires

Step-by-step explanation:

Answer:

The number is 8

Step-by-step explanation:

Answer:

2.23606797749979

Midpoint

(2,−4.5)

Slope

0.5

x intercept

11.00

y intercept

−5.50

Step-by-step explanation:

d = √  ((X2-X1)2+(Y2-Y1)2)

d = √ (1-3)2+(-5--4)2

d = √ ((-2)2+(-1)2)

d = √ (4+1)

d = √ 5

The distance between the points is 2.23606797749979

The midpoint of two points is given by the formula

Midpoint= ((X1+X2)/2,(Y1+Y2)/2)

Find the x value of the midpoint

Xm=(X1+X2)/2

Xm=(3+1)/2=2

Find the Y value of the midpoint

Ym=(Y1+Y2)/2

Ym=(-4+-5)/2=-4.5

The midpoint is: (2,-4.5)

Graphing the two points, midpoint and distance

P1 (3,-4)

P2 (1,-5)

Midpoint (2,-4.5)

The length of the black line is the distance between the points (2.23606797749979)

Find the slope of the line connecting the two points

Slope =  (Y2-Y1)  =  (-5--4)  =  (-1)  = 0.5

(X2-X1) (1-3) (-2)

Find the equation of the line passing through the two points

The general equation for a straight line is

y = mx + b

Where m represents the slope of the line which we found in the previous step to be 0.5

y = 0.50x + b

We substitute x and y for the values from one of our points (3,-4)

-4 = .50×3 + b

-4 = 1.50 + b

-4-1.50 = b

-5.50 = b

Knowing both b and m, we can contruct the equation of the line

y= 0.50x-5.50

X and Y intercepts

The x-intercept is a point on the graph where y is zero

Using the equation we found in the previous step and substituting zero for y

y= 0.50x-5.50

0= 0.50x-5.50

-0.50x= -5.50

x= -5.50/-0.50 = 11.00

The x intercept for this straight line is 11.00

The y-intercept is a point on the graph where x is zero

Using the equation we found in the previous step and substituting zero for x

y= 0.50×0-5.50

y= -5.50

The y intercept for this straight line is -5.50

Answer:

111

Step-by-step explanation:

Answer:

111

Step-by-step explanation:

Answer:

44 i believe

Step-by-step explanation:

Answer:

[tex]k(x)=(x-4)(x+6)[/tex]

Step-by-step explanation:

[tex]k(x)=(x+1)^2-25\\\\[/tex]

to factorize it you have to remember the difference of squares that says

[tex]a^2-b^2=(a-b)(a+b)[/tex]

so we have

[tex](x+1)^2\\\\(x+1)^2=a^2\\\\25\longrightarrow 5^2\\\\5^2=b^2\\\\[/tex]

and we apply the formula

[tex](x+1)^2-25=[(x+1)-5][(x+1)+5]\\\\=(x+1-5)(x+1+5)\\\\=(x-4)(x+6)[/tex]

so there you have it

[tex]k(x)=(x-4)(x+6)[/tex]

Step-by-step explanation:

Hey there!

The given points are; (-4,-1) and (4,2).

Use slope formula.

[tex]slope(m) = \frac{y2 - y1}{x2 - x1} [/tex]

Put all values.

[tex]m = \frac{2 + 1}{4 + 4} [/tex]

Simplify it.

[tex]m = \frac{3}{8} [/tex]

Therefore, the slope is 3/8.

Hope it helps...

Answer:

Amy and John both run 3 meters in 1 second

Step-by-step explanation:

Amy: 150/50=3 meters in 1 second

John: 1200/400=3 meters in 1 second

Answer:

$4.20

Step-by-step explanation:

0.15 x $28.00=$4.20.

Answer:

x=11

Step-by-step explanation:

-5x=-4x-11

-5x+4x=-11

-x=-11

x=11

Answer:

Jacky is correct

Step-by-step explanation:

If you look closely, There's another point A which an apostrophe. (A')

This normally means that this is  point A after a dilation was made.

The image got bigger.

Answer:

A

Step-by-step explanation:

Hope this helps!!!!!!!!!!!!!!!!!!:)

Answer:

is it C OR A

Step-by-step explanation:

Answer:

a. 70,000

b. 24,000,000

c. 3,600,000

Step-by-step explanation:

You round all the numbers and multiply the rounded numbers.

So...

a. 656 = 700

106 = 100

7000*100= 70,000

b. 3108 = 3000

7942 = 8000

3000*8000= 24,000,000

c. 425 = 400

9311 = 9000

400*9000= 3,600,000

Answer:

A (-4,9) B (-4,11) C (-6,10)

Last option is correct

Step-by-step explanation:

To rotate the vertices about the given point at 90 degrees, we follow the procedures below;

Mathematically, if we have a point (m,n) and we want to rotate it 90 degrees about a given point (x,y). Then the new transformation point will be;

( -(n-y) + x , (m-x) + y)

Let’s now take the points individually;

(3,2 ) about (-4,2)

This becomes

(-(2-2) + (-4), (3+4) + 2) = (-4 , 9)

The point (5,2) about (-4,2) becomes

(-(2-2) + -4, (5 + 4) + 2 )= (-4, 11)

and lastly

The point (4,4) about (-4,2) becomes

(-(4-2) + (-4), (4 + 4) + 2) = (-6, 10)

Answer:

y=3/2x+1

Step-by-step explanation:

y=mx+b is the slope-intercept form

y=3/2x+b

we are looking for b now

plug in the points you provided

2=x, 4=y

4=3/2(2)+b

4=3+b

b=1 which is the intercept

Answer:

ok what is it

Step-by-step explanation:

Answer:

15/56

Step-by-step explanation:

5/8 * 3/7 =

15/56

Answer:

15/56

Step-by-step explanation:

5/8 times 3/7

[tex]\frac{5 times 3}{8 times 7}[/tex]= 15/56 which is already in simplest form

Please correct me if I am wrong.

Answer:

A number line with a closed circle on 6 and shaded to the right.

Step-by-step explanation:

Answer:a number line with a closed circle on 6 and shading to the right

Step-by-step explanation:I think I’m right! Good luck

Answer:

Step-by-step explanation:

Part (A).

Angles ABC and CBD are the supplementary angles.

Therefore, m(∠ABC) + m(∠CBD) = 180°

Now substitute the measure of each angle in the equation,

(5x + 12)° + (13x + 24)° = 180°

18x + 36 = 180

18x = 180 - 36

18x = 144

x = 8

Part (B).

m∠ABC = (5x + 12)

             = 5(8) + 12

             = 52°

m∠CBD = (13x + 24)

             = 13(8) + 24

             = 104 + 24

             = 128°

Part (C).

We can check the results by adding measures of these angles.

m∠ABC + m∠CBD = 52 + 128

                               = 180°

Therefore, both the angles are supplementary angles which is already given.

Answer:

9/28

Step-by-step explanation:

just divide by 2

Answer: 9/28

Steps: 18/56

Factor the number:  8 = 2 · 9

Factor the number:  56 = 2 · 28

Cancel the common factor: 2

9/28

Plz mark brainliest:)

Answer:

x = 7/12

Step-by-step explanation:

Write the expression in exponential form with the base of 2

[tex]2x^{3x-3}[/tex]  = [tex]32^{3x-2}[/tex]

[tex]2^{3x-3}[/tex]  = [tex]2^{15x-10}[/tex]

Since the bases are the same, set the exponents equal

x - 3 = 15 - 10

Move variable to the left-hand side and change its sign

3x - 15x - 3 = -10

Move constant the the right-hand side and change its sign

3x - 15x = -10 + 3

Collect like terms

-12x = -10 + 3

Calculate the sum

-12x = -7

Divide both sides o the equation by -12

x = 7/12

Solution

7/12

Alternate form

x = 0.583

infinitely many solutions

Hi there !

3(y - 2) = 3y - 6

3y - 6 = 3y - 6 | + 6

3y = 3y

true ∀ y ∈ R

Good luck  !

Answer:

9 miles, or 47520 feet :)

Step-by-step explanation:

Answer:

47520

Step-by-step explanation:

3x3=9

5280*9=47520

Answer:

It is a Isosceles triangle

Step-by-step explanation:

The name of the triangle is an isosceles triangle.

Option B is the correct answer.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

Right:

A right triangle is a triangle that has one angle measuring 90 degrees (a right angle).

It can have different side lengths and angles, but it must have one right angle.

Isosceles:

An isosceles triangle is a triangle that has at least two sides of equal length and the corresponding angles opposite those sides are equal.

The third side can have a different length, and the third angle opposite that side will be different from the other two angles.

Scalene:

A scalene triangle is a triangle that has no sides of equal length and no angles of equal measure.

All three sides and angles are different.

Obtuse:

An obtuse triangle is a triangle that has one angle that measures greater than 90 degrees (an obtuse angle).

The other two angles will be acute angles, measuring less than 90 degrees.

It can have different side lengths, but it must have one obtuse angle.

So,

The name of the triangle in which two sides have the same length and the corresponding two angles have the same size is an isosceles triangle.

Therefore,

The name of the triangle is an isosceles triangle.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ7

9514 1404 393

Answer:

Step-by-step explanation:

1) Each of the ratios can be reduced to 1 : 5, Since both can be reduced to the same ratio, the do form a proportion.

  4 : 20 = 1 : 5

  6 : 30 = 1 : 5

__

2) The first ratio can be reduced to 1/2. The second ratio is not 1/2 and cannot be reduced. Since they are different ratios, they do not form a proportion.

  9/18 = 1/2

  3/8 = 3/8

Answer:

1= -25

2=  22

3= 0

4= -34.5

Answer:

1 negative

2 positive

3 zero

4 negative

Step-by-step explanation:

Hope this helps :D

Answer:

- 0.000105156(x - 50)² + 0.64008

Step-by-step explanation:

Given the curve function model : -0.000345(x - 50)² + 2.1 ; Which is measured in feets :

To convert the curve model in feets to metres +, using the function :

m(x) = 0.3048x

Multiply m(x) by r(x)

Hence,

m(r(x)) = 0.3048(-0.000345(x - 50)² + 2.1)

m(x) = - 0.000105156(x - 50)² + 0.64008 ; measured in meters

Answer:

The stock is worth $702.5.

Step-by-step explanation:

Giving the following information:

Present Value= $500

Number of periods  (n)= 3 years

Growth rate (i)= 12%

To calculate the value of the stock today, we need to use the following formula:

FV= PV*(1+i)^n

FV= 500*(1.12^3)

FV= $702.5

The stock is worth $702.5.