There's a roughly linear relationship between the length of someone's femur (the long leg-bone in your thigh) and their expected height. Within a certain population, this relationship can be expressed using the formula h=2.35f+54.7h, where h represents the expected height in centimeters and ff represents the length of the femur in centimeters. What is the meaning of the ff-value when h=149h

Answers

Answer 1

Answer:

The desired value of [tex]f=-0.0002937[/tex]

Step-by-step explanation:

The relationship between [tex]h[/tex] and [tex]f[/tex] is given as,

[tex]h=2.35f+54.7h[/tex]

Here, [tex]h[/tex] represents the expected height in centimeters, and [tex]f[/tex] represents the length of the femur in centimeters.

The meaning of [tex]f[/tex] value when [tex]h=149h[/tex]

For obtaining the result for the above condition, substitute [tex]h=149h[/tex] in the relation function between [tex]h[/tex] and [tex]f[/tex].

Therefore,

[tex]\begin{aligned}149h&=2.35f+54.7(149h)\\-8001.3h&=2.35f\\f&=-0.0002937\end{aligned}[/tex]

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Related Questions

0.4(5x-15)=2.5(x+3) what is the value of x?

Answers

[tex]0,4(5x-15)=2,5(x+3)\\\\2x-6=2,5x+7,5\\\\2x-2,5x=7,5+6\\\\-0,5x=13,5 \ \ /\cdot(-2)\\\\\huge\boxed{x=-27}[/tex]

Answer:

Answer:

x=−27

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

0.4(5x−15)=2.5(x+3)

(0.4)(5x)+(0.4)(−15)=(2.5)(x)+(2.5)(3)(Distribute)

2x+−6=2.5x+7.5

2x−6=2.5x+7.5

Step 2: Subtract 2.5x from both sides.

2x−6−2.5x=2.5x+7.5−2.5x

−0.5x−6=7.5

Step 3: Add 6 to both sides.

−0.5x−6+6=7.5+6

−0.5x=13.5

Step 4: Divide both sides by -0.5.

−0.5x

−0.5

=

13.5

−0.5

x=−27

Answer:

x=−27

plzz help. what's the distance between 4.1 and -5.2 on a number line​

Answers

Answer:

4.1 + 5.2 = 9.3

distance can never be negative

Step-by-step explanation:

what is the value of a?
what is the value of x?
what is the value of z?
what is the value of b? what is the value of y?

Answers

Answer:

A = ( - 27)

Y = 3

X = 3

B = 8

Z =9

Step-by-step explanation:

Hope that helps

The solution to the equation [tex](\frac{-3jk^3}{2k^2m^3})^3=\frac{Aj^xk^{y}}{Bm^z}[/tex] is a = -27, x =3, y = 9, B = 8k⁶ and z = 9.

Equation

An equation is an expression used to show the relationship between two or more numbers and variables.

Given the equation as shown in the question:

[tex]\frac{-3jk^3}{2k^2m^3})^3\\ \\Simplifying\ the\ equation:\\\\=\frac{-27j^3k^{9}}{8k^6m^9} \\\\Comparing \ with\ \frac{Aj^xk^{y}}{Bm^z}\ gives:\\a=-27,x=3,y=9,B=8k^6,z=9[/tex]

The solution to the equation is a = -27, x =3, y = 9, B = 8k⁶ and z = 9.

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Vijay bought a camera that was marked down 80% from an original price of $355. If he paid 4% sales tax what was the total cost of the camera? ​

Answers

The total cost of the camera is $73.84

Since Vijay bought a camera that was marked down 80% from the original price of $355, then the amount paid will be:

= $355 - (80% × $355)

= $355 - (0.8 × $355)

= $355 - $284

= $71

Since there is a 4% sales tax, then the total amount paid will be:

= $71 + (4% × $71)

= $71 + (0.04 × $71)

= $71 + $2.84

= $73.84

The total cost of the camera is $73.84

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How do I solve:
1/6x - 4 =5/6x + 2​

Answers

Answer:

The answer is x=-9

Step-by-step explanation:

I hope this helps you!

PLS I NEED HELP IM STUCKKKKK

Answers

Answer:

D

Step-by-step explanation:

We can cross off a because it is impossible to have negative of a material.

Now lets get into the System of equations. First subtract both of them to have one common variable(we will find the second one later)

- P + N = 134

- P + 3.1N = 241.10

2.1N = 107.1

107.1/2.1 = 51

Now we know that n = 51

lets substitute,

P + 51 = 134

P = 83

Lets check

83  + 51 = 134

Great! The asnwer is D

Answer:

D.

. . . . .. . . . . . .. . .. . . . . . . . ..

7. Paula reduced the size of a rectangle to a height of 2 inches.
What is the new width if it was originally 24 inches wide and 12
inches toll?
& Simplify the expression, if possible. If not possible
in

Answers

Answer: if the width was not effected then the width is still 24 inches

if the area stayed the same, then

find area

area=legnth times width

288=12 times 24

so the new height./legnth =2

288=2 times width

divide by 2

144=width'

the new width =144

Three times a number w is less than 18. how would u type thi s

Answers

Equation - 3w < 18
Solve - w < 6

Plz Help (ASAP) Thanks

Answers

Answer:

x^4 - 3x^2 + x^2 - 4

Step-by-step explanation:

hope it helps

Represent the following sentence as an algebraic expression, where "a number" is the
letter x. You do not need to simplify
The cube of the difference of a number and 4.

Answers

Answer:

The difference of a number and 4:

x - 4

The cube of the difference:

(x - 4)³

Leaving this as is since no simplification is required.

Step-by-step explanation:

[tex]here \: number = x \\ difrence \: of \: number \: and \: 4 \\then \: its \: x - 4 \\ cube \: of \: this = {(x - 4)}^{3} \\ thank \: you[/tex]

Which expression fits the description

Answers

Can't see full image

Answer:

28:12

Step-by-step explanation:

When we take 7 and 3 and multiply them both by 4 we get 28 and 12.

hope this helps!

Josie left an $8.00 tip at the restaurant. How much was her total bill , is the tip was 20% of the total?

A $32
B $40
C $48
D $64

Answers

Answer:

c $48

Step-by-step explanation:

8 x 5 is 40 which is the price of the meal then plus the tip its 48

40 x 3 x 100 ? What is the product

Answers

Answer:

12,000

Step-by-step explanation:

40*3 = 120

120*100 = 12,000

Round 249798.828806 to the nearest ten.

Answers

249798.8

The nearest ten

Answer: the answer is like it is

Step-by-step explanation:

You just round the number in the tenths 0 is closer to 0 then to 10!

Leyla rides her bike 81 miles each week. How many miles does she ride in 11 weeks

Answers

Answer:

891 miles

Step-by-step explanation:

You can either multply 81*11 or add 81 to itself 11 times

1 week: 81 miles

2 weeks: 81+81=162 miles

3 weeks: 162+81=243 miles

4 weeks: 243+81=324 miles

5 weeks: 324+81=405 miles

6 weeks: 405+81=486 miles

7 weeks: 486+81=567 miles

8 weeks: 567+81=648 miles

9 weeks: 648+81=729 miles

10 weeks: 729+81=810 miles

11 weeks: 810+81=891 miles

Which fraction is more than 1/2?
O 7/12
05/12
0 5/10
O 3/7

Answers

Only 7/12 is greater than 1/2.

If you consider the each denominator, for the fraction to be greater than 1/2, then the numerator needs to be greater than 1/2 the denominator.

For example, with “something”/12: 6 is 1/2 of 12, so 6/12 is the same as 1/2. For a fraction of “something” / 12 to be greater than 1/2, the numerator needs to be greater than 6.
7/12 is.

With 5/12, 5 < 6, so 5/12 < 6/12, so 5/12 < 1/2.

With 5/10, half of 10 is 5, so 5/10 = 1/2

With 3/7, half of 7 is 3.5, so 3.5/7 is 1/2. Since 3<3.5, 3/7 < 1/2.


Write an absolute value equation that has the solutions x= -10 and x = -5

Answers

Answer:

∣x + 7.5∣ = 2.5

Step-by-step explanation:

∣x + 7.5∣ = 2.5

x + 7.5 = -2.5  OR  x + 7.5 = 2.5

   -7.5      -7.5             -7.5     -7.5

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

x = -10                         x = -5

As you can see, the equation ∣x + 7.5∣ = 2.5, satisfies both of the x values, x=-10 and x=-5.

The absolute value equation that has solutions x= -10 and x = -5 is             | x + 7.5 | = 2.5.

What is an absolute function ?

Absolute value function is always positive |x| = a implies  x = a Or - x = - a

According to the given question we have to write a equation we have to write an absolute value equation that has solution x = -10 and x = - 5.

Let the absolute value be ∣x + 7.5∣ = 2.5.

∴ x + 7.5 = 2.5 OR - ( x + 7.5 ) = 2.5

x + 7.5 = 2.5

x = 2.5 - 7.5

x = - 5.

OR

- ( x + 7.5 ) = 2.5

- x - 7.5 = 2.5

- x = 2.5 + 7.5

- x = 10

x = - 10.

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Donovan is measuring the angles of a triangle. He uses the first two angles and gets 10° and 120° what should be the measurement of the third angle

Answers

Answer:

50°

Step-by-step explanation:

The sum of a triangles' angles is 180°

Now set up an equation:

180 - (10 + 120) = ___

180 - 130 = 50°

Store employees are handing out coupons. Every 5th customer gets a free bagel coupon. Every 9th customer gets a free drink coupon. Which customer is the first to receive both coupons? the 30th customer the 45th customer the 60th customer the 90th customer

Answers

Step-by-step explanation:

hope you will understand ( ´ ▽ ` )ノ

Answer:

its 45 bc i searched up the answer and chose the other persons response and turns out its 45 not 60th

Step-by-step explanation:

the box plot represents the distribution of speeds, in miles per hour, of 100 cars as they pass thru

Answers

Could you fill out the rest of the question

Please help me fast this question​

Answers

Answer:

64÷16+[12x{16÷(16-10)}]

64÷16+[12x{16÷6}]

64÷16+[12x2.66666666667]

64÷16+32

4+32

36

plz help me from d no no need to do a,b,c !!!!​

Answers

Answer:

triangles unfold into a 180 degree angle so...

Step-by-step explanation:

Alright so the two dashes in a line means they are equivalent so if I only give one final answer use it for both...

D: 180-52=128 now divide by two since equal angles so 64 degrees for the angles

E: 180-90=90, 90/2 so 45 degrees for those angles

F: okay interesting 180-130= 50 degrees so that's the inside angle there for x and y so to find z its 180- 100 which is 80 x&y is 50 while z's 80

G: 180-36=144 divide that by two and viola 72 is the answer

H: the angle of 86 is correct since mirrored. so x is 86. now for the unlisted angle 180-124= 66 so to find y 86+66=152 so 180-152=28. So x=86 y=28 and the unlisted is 66.

(Sorry for my chaotic explanations but I saw the time crunch "!!!!")

need help on precalculus

Answers

Answer:

arc = 15π

Step-by-step explanation:

The arc is calculated as

arc = circumference of circle × fraction of circle

     = 2πr × [tex]\frac{225}{360}[/tex] ( r is the radius )

given diameter = 24 then r = 24 ÷ 2 = 12

arc = 2π × 12 × [tex]\frac{5}{8}[/tex]

     = 24π × [tex]\frac{5}{8}[/tex]

     = 3π × 5

    = 15π

what's 4 divided by 5/7 as a mixed number in its simplest form

Answers

Answer:

8[tex]\frac{1}{7}[/tex] (in mixed fraction)

Step-by-step explanation:

4 ÷ [tex]\frac{5}{7}[/tex]

can also be written as

[tex]\frac{4}{1}[/tex] ÷ [tex]\frac{5}{7}[/tex]

[tex]\frac{4}{1}[/tex] ×[tex]\frac{7}{7}[/tex]       [tex]\frac{5}{7}[/tex] × [tex]\frac{1}{1}[/tex]   (to do the denominators same)

[tex]\frac{28}{7}[/tex] ÷ [tex]\frac{5}{7}[/tex]

= [tex]\frac{28/5}{7}[/tex]

= [tex]\frac{5.6}{7}[/tex]  

=  [tex]\frac{5.6}{7}[/tex] × [tex]\frac{10}{10}[/tex]  (to remove the decimal point)

= [tex]\frac{56}{7}[/tex]

= 8[tex]\frac{1}{7}[/tex] (in mixed fraction)

What is the solution to this equation?

5x + 9 - 3x = 18 + 15

A. x = 8

B. x = 21

C. x = 3

D. x = 12

ANSWER: D (x = 12)

Answers

Answer:

x = 12

Step-by-step explanation:

5x + 9 - 3x = 18 + 15

2x + 9 = 33

2x (+ 9 - 9) = 33 - 9

2x/2 = 24/2

x = 12

[tex] \huge\boxed{\mathfrak{Question} \downarrow}[/tex]

What is the solution to this equation?

5x + 9 - 3x = 18 + 15

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex] \sf5 x + 9 - 3 x = 18 + 15[/tex]

Combine 5x and -3x to get 2x.

[tex] \sf2x+9=18+15 [/tex]

Add 18 and 15 to get 33.

[tex] \sf2x+9=33 [/tex]

Subtract 9 from both sides.

[tex] \sf2x=33-9 [/tex]

Subtract 9 from 33 to get 24.

[tex] \sf2x=24 [/tex]

Divide both sides by 2.

[tex] \sf \: x=\frac{24}{2} \\ [/tex]

Divide 24 by 2 to get 12.

[tex] \boxed{ \boxed{ \bf \: x=12 }}[/tex]

The value of x is 12. Yes, the option you clicked is correct. D. x = 12 (✓)

−3,12,27, what is the answer

Answers

Answer:

The next term is 42

Step-by-step explanation:

Let's use Arithmetic Progression

a₁ = - 3

a₂ = 12

a₃ = 27

Now,

The Formula of Common Difference d is

d = a₂ - a₁

= 12 - (-3)

= 12 + 3

d = 15

d = a₃ - a₂

= 27 - 12

d = 15

Here, the common difference is same

aₙ = aₙ₋₁ + d

a₄ = a₄₋₁ + 15

a₄ = a₃ + 15

a₄ = 27 + 15

a₄ = 42

So, The next term is 42

-TheUnknownScientist

R 3. The mean of 4 numbers is 8. Three of the numbers add up to 22. What is the last number?​

Answers

Solution :

let the last number be x

we know,

[tex] \boxed{mean = \frac{sum \: \: of \: \: all \: \: observations}{number \: \: of \: \: observations} }[/tex]

So,

[tex] \hookrightarrow \: 8 = \dfrac{22 + x}{4} [/tex]

[tex] \hookrightarrow \: 8 \times 4 = 22 + x[/tex]

[tex] \hookrightarrow \: 32 = 22 + x[/tex]

[tex] \hookrightarrow \: x = 32 - 22[/tex]

[tex] \hookrightarrow \: x = 10[/tex]

therefore, the last number is 10.

State the domain and range and state if it is a function or not​

Answers

The domain and range are correctly stated in your photo.

It is a function, because it passes the vertical line test.

A car travelling at 30 km/h takes 6/5 hours to travel a certain distance. How many minutes less will the car take to cover the same distance if its speed is now 45 km/h?

Answers

[tex] \large \mathfrak{Solution : }[/tex]

Time taken when traveling at 30 km/h :

[tex] \dfrac{6}{5} \: \: hr[/tex]

[tex] \dfrac{6}{5} \times 60 \: min[/tex]

[tex]6 \times 12 \: min[/tex]

[tex]72 \: min[/tex]

Distance travelled :

[tex]30 \times \dfrac{6}{5} [/tex]

[tex]6 \times 6[/tex]

[tex]36 \: km[/tex]

now, if the speed is 44 km/h it will take :

[tex] \dfrac{36}{45} \: \: hr[/tex]

[tex] \dfrac{4}{5} \times 60 \: min[/tex]

[tex]48 \: min[/tex]

The car will take 72 - 48 = 24 less minutes to cover same distance at an speed of 45 km/h .

Determine which of the following are functions. Select all that apply,
X
{(-4,2), (-2, 1), (1,3)
(-1,4), (0,5), (2,5)}
y 4.45X 9
-6
y
17
13
13
-2
D
Sicco
9
2.
6
oo
5
3
10
1
4
7
Intro
Done

Answers

Answer:

Try incerting a picture it might help me

Step-by-step explanation:

Answer:

a and d

Step-by-step explanation:

got it right.

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