If the density of the man is 1.0321 grams per cubic cm. Then the body fat percentage will be 28.59%.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
An older method of estimating body fat percentage was to measure a person's average density (total mass divided by total volume) and apply a formula to convert it to a body fat percentage.
[tex]\rm BF = \left (\dfrac{4.57}{p} - 4.142 \right) \times 100[/tex]
where BF = body fat and p = density in g/cm3 A man weighs 175 pounds.
A man weighs 175 pounds.
His total body volume is modeled by a cylinder with a height of 170 cm and a radius of 12 cm.
Then the density will be
[tex]\rm p = \dfrac{175 \times 453.592}{\pi \times 12^2 \times 170}\\\\p = \dfrac{79378.7}{76906.19}\\\\p= 1.0321 \ g/cm^3[/tex]
Then the Body fat percentage will be
[tex]\rm BF = \left (\dfrac{4.57}{1.0321} - 4.142 \right) \times 100 \\\\\\BF = 0.2859 \times 100\\\\\\BF = 28.59\%[/tex]
More about the function link is given below.
https://brainly.com/question/5245372
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30 points
A. Transform F using the rule (x, y) → (-x, y)
B. Describe the transformation precisely.
C. Does the transformation result in a a congruent figure?
Answer:
A: You plot these points (-3,4) (-3,6) (-5,6) (-7,4)
B: The transformation would be described as a reflection over the y axis
C: The transformation does result in a congruent figure because the shape doesn't change in size or shape and in length or width
Step-by-step explanation:
So our plots from the figure are: (3,4) (3,6) (5,6) (7,4)
So using the rule (x, y) → (-x, y) are new points would be:
(-3,4)
(-3,6)
(-5,6)
(-7,4)
This rule (x, y) → (-x, y) is used for the type of transformation that is a reflection but over the y axis.
Simplify.........................
[tex] \sqrt{50} \times \sqrt{20} \times \sqrt{100} [/tex]
Answer:
316.03
Step-by-step explanation:
[tex] \hookrightarrow \sf \sqrt{50} \times \sqrt{20} \times \sqrt{100} [/tex]
[tex]\hookrightarrow \sf 7.07 \times 4.47 \times 10[/tex]
[tex]\hookrightarrow \sf 316.03[/tex]
Therefore, [tex] \rm \sqrt{50} \times \sqrt{20} \times \sqrt{100} [/tex] ≈ 316.03
find the area for the shaded region
Answer:
610m^2 because that's math
Step-by-step explanation:
42x25 - 20x22
Step-by-step explanation:
S SOLUTION:
THE VOLUME OF CUBIOD IS 25 X 22 X 42=23100. M 3
VOLUME OF CUBIOD ; LENGTH X WIDTH X HEIGHT.
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this answer is correct
brain less this answer
Molly's alarm clock fell to the floor and the glass face was broken. Molly measured the glass face so that she could order a new one.
The radius of the circle-shaped glass face is 8 centimeters. What is the approximate area of the glass face? (Use 3.14 for .)
Answer:
200.96 cm^2
Step-by-step explanation:
πr^2 is the formula for the area of a circle
π*8^2
64π
substitute pi with 3.14
64 * 3.14 = 200.96
200.96
mark brainliest please!
Find the perimeter of the figure below
Answer:
60 ft.
Step-by-step explanation:
The missing side length would be 6 ft.
14-8=6
Add up all the sides: 14+16+6+9+8+7=60
Hence, the perimeter is 60 ft.
Hope this helps!
7th Grade Math:
A library keeps track of the number of overdue items at the end of each month.
* At the end of April, there were x overdue items.
* At the end of May, the number of overdue items was 3% less than the number of overdue items at the end of April.
The expression x - 0.03x represents the number of overdue items at the end of May. Which sentence best explains how to simplify the expression that represents the number of overdue items at the end of May?
A. Combine x and 0.03x, since they are like terms, by cancelling out the x.
B. Combine c and 0.03x, since they are like terms, by subtracting 1 - 0.03 to find the new coefficient.
C. Factor out an x, since it appears in both terms, leaving 1 in the first term and 0.03x in the second term.
D. Factor out an x, since it appears in both terms, eliminating the first term and leaving 0.03 in the second term.
Answer:
(Mostly) C. Or D
Step-by-step explanation:
Because you first have to factor out the equation by factoring the x . The this will leave you with the terms. Hopefully This Helps.
Heather drove 265 miles using 10 gallons of gas. At this rate, how many gallons of gas would she need to drive 424 miles?
Answer:
Step-by-step explanation:
Next bit of info that we have is 424 miles. Miles go on the numerator, and gallons, which we will call "x" will go on the denominator. It should be set up like this: 265/10 = 424/x Once you cross multiply you should get 265x=4240. Divide 265 by both sides and the answer is 16 gallons. Sorry if its wrong
2x +2y-16x+4y+20=0 solve by completing the square
Answer
7/3
Step-by-step explanation:
Find f of x and f of y
F(x,y) = 2x + 27 - 16x + 4y + 20, f of x = -14
F(x,y) = 2x + 2y - 16x + 4y + 20, f of y = 6
Find the fist partial derivative
f of x = -14
f of y = 6
Subsitude f of x = 14 and f of y = 6 into dy/dx = - f of x / f of y
reduce the fraction
dy/dx = - 14/6 = - - 7/3 = 7/3
Darcy pays $37.95 for a 25.3-kilometer taxi ride.
How much does Darcy pay, in dollars, per kilometer?
Answer:
1.5 per kilo
Step-by-step explanation:
Answer: That would be $1.50
Explanation: I took a test and I got it right
find the diffrence between x+5 and 2x+3
Answer:
-x + 2
Step-by-step explanation:
collect the like terms of x and 2x . So subtract 1-2 = -1
so 1x - 2x = -1x or -x . Then just subtract 5-3 and you have your answer
The regular price of a sofa, in dollars, is represented by . The sale price of the sofa is 30%off the regular price. Select alltrue statements.
A. The sale price of the sofa can be represented by −0.3.
B. The sale price of the sofa can be represented by 0.7.
C. The sale price of the sofa can be represented by 0.3
D. The dollar amount of the discount for the sale price can be represented by 0.3.
E. The dollar amount of the discount for the sale price can be represented by −0.3.
Answer:
BEStep-by-step explanation:
The sale price of the sofa is given as :
Original Price (100% - 30%)Original Price (70%)Original Price (0.7)The dollar amount for the discount
- 30% [discount]-0.3Please Help - Find the Volume
I know the answer is 1982.0 ft³. However, I don't know how to get to that answer. I keep getting 2112ft³.
Answer:
1982 ft^3 ( rounded)
Step-by-step explanation:
The cube bottom is 12 x 12 x 12 = 1728
The pyramid top is 1/3 ( 12*12) * sqrt 28 = 253.99
added together = ~ 1982
( you have to use the HEIGHT of the pyramid for the volume calculation V = 1/3 * base area * height height = sqrt (28) )
Answer:
1,982 ft³
Step-by-step explanation:
Solving
Volume of rectangular prism (below)
lbh12 x 12 x 12144 x 121728 ft³Volume of square pyramid
1/3Bh1/3 x 144 x √2848 x 5.29253.92Total Volume : 1728 + 253.92 = 1,981.92 ft³ ≅ 1,982 ft³
Which of the x values are solutions to the inequality 4(2 – x) > –2x – 3(4x + 1)? Check all that apply.
Step-by-step explanation:
[tex]4(2 - x) > - 2x - 3(4x + 1)[/tex]
[tex]8 - 4x > - 2x - 12x - 3[/tex]
[tex]8 - 4x > - 14x - 3[/tex]
[tex] - 4x + 14x > - 3 - 8[/tex]
[tex]10x > - 11[/tex]
[tex]x = - 1.1[/tex]
Answer:
[tex]x > \frac{-11}{10}[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex]4(2 - x) > -2x - 3(4x + 1)[/tex]
[tex](4*2)+(4 * (-x)) > -2x + (-3 * 4x) + (-3 * 1)[/tex]
[tex]8 - 4x > -2x - 12x - 3[/tex]
Step 2: Combine like terms
[tex]8 - 4x > (-2x - 12x) - 3[/tex]
[tex]8 - 4x > -14x - 3[/tex]
Step 3: Add 14x to both sides
[tex]8 - 4x + 14x > -14x - 3 + 14x[/tex]
[tex]8 + 10x > -3[/tex]
Step 4: Subtract 8 from both sides
[tex]10x + 8 - 8 > -3 - 8[/tex]
[tex]10x > -11[/tex]
Step 5: Divide both sides by 10
[tex]\frac{10x}{10} > \frac{-11}{10}[/tex]
[tex]x > \frac{-11}{10}[/tex]
Answer: [tex]x > \frac{-11}{10}[/tex]
8 ≤ 2m Find variable of m
Please show your work
Answer:
m ≥ 4
Step-by-step explanation:
8 ≤ 2m
8/2 ≤ m
4 ≤ m
m ≥ 4
Question in picture below
Answer:
f(x) = 3sin(3.1416(x +4)/7)
Step-by-step explanation:
You want the equation of a sine function with an amplitude of 3 and having one cycle between the points (-11, 0) and (3, 0), where it has negative slope.
EquationThe equation will generally be of the form ...
f(x) = (amplitude)·sin(2π/(period)·(x-(horizontal translation)))
ApplicationHere, the amplitude is 3 units, the period is (3 -(-11)) = 14 units, and the horizontal translation from the origin to the positive-going midline crossing is 4 units to the left.
Then f(x) is ...
f(x) = 3·sin(2π/14(x -(-4))
f(x) = 3·sin(3.1416/7(x +4))
<95141404393>
surface area of a rectangular prism that has 12 5 3
Answer:
The surface area of a rectangular prism calculator gives us the answer: A = 2*1* w+2*1*h+2*w *h = 2*8 ft 6 ft + 2*8 ft* 5 ft + 2*6 ft * 5 ft = 236 ft².
The population standard deviation for the heights of dogs, in inches is 3,7 inches. If we want to be 95% confident that the sample mean is within 2 inches of the true population mean, what is the minimum sample size that can be taken?
there are c cyclist in a cycle race 3/4 of the cyclist finish the race how many cyclist did not finish give a algebraic formula
1/4
if 3/4 cyclists finish then that leaves 1/4 of the group that did not finish
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
x=18
Step-by-step explanation:
In this question we can use the Geometric mean of leg theorem
The theorem states that the hypotenuse/leg 2 = leg 2/part 2
In this problem, leg 2 is x+18, the hypotenuse is 72, and part 2 is x.
Plugging the given values in, we get
72/x+18=x+18/x
We can then simplify it.
(x+18)^2=72x
x^2+36x+324=72x
x^2-36x+324=0
That is equal to (x-18)^2
So, x=18
whats 1 added up to 1?
How would I solve I need to know Asap and what is the answer
Answer:
All of them are true.
Step-by-step explanation:
The symbol ≅ is used to show congruence between two shapes.
Congruency means that the shapes have the same shape and size.
This means that the two shapes are the same.
This means that all sides are going to be the same, so the first two statements are true.
This also means that the angles are the same, so the last two statements are also true.
mark brainliest please!
Answer:
1 and 3 are correct.
Step-by-step explanation:
You can just look at the order of the letters in the triangle congruence statement and see if they correspond with the answer choices.
For example... OC is congruent to JA because for both segments, it's the first letter, then the second letter from the beginning triangle congruence statement.
The playground pictured here is having rubber flooring installed to help protect children against injuries from falls. If the cost, including installation, is $8.00 per square foot, what is the total cost of installing the surface?
Answer:
$6,672
Step-by-step explanation:
Area of Playground
Area (rectangle) + 2 x Area (semicircle)26 x 20 + 2 x 3.14 x 10² x 1/2520 + 314834 square feetCost
$8.00 per square feet$8 x 834$6,672Answer:
Using π: $6,673.27 (nearest cent)
Using π = 3.14: $6,672
Step-by-step explanation:
Separate the figure into a rectangle and two semicircles.
Area of a rectangle = width × length
= 20 ft × 26 ft
= 520 ft²
Area of a semicircle = 1/2 π r²
= 1/2 π · 10²
= 50π ft²
⇒ Total area = area of rectangle + (2 × area of semicircle)
= 520 + (2 × 50π)
= (520 + 100π) ft²
⇒ Total cost = area × cost
= (520 + 100π) × $8
= $6,673.27 (nearest cent)
**using π = 3.14**
Total cost = (520 + 100 × 3.14) × $8 = $6,672
What is the surface area of the cylinder with height 3 yd and radius 4 yd? Round your
answer to the nearest thousandth.
A≈175.93yd²
A=2πrh+2πr2=2·π·4·3+2·π·42≈175.92919yd²
Therfore the surface area of the cylinder with height 3 yd and radius 4 yd is 175.93
Hoy do you write 75% as a fraction
Step-by-step explanation:
[tex] = \frac{75}{100} \\ [/tex]
[tex] = \frac{75 \div 5}{100 \div 5} \\ [/tex]
[tex] = \frac{15 \div 5}{20 \div 5} \\ [/tex]
[tex] = \frac{3}{4} \\ [/tex]
Can someone help me please
Answer:
7⅞
Step-by-step explanation:
NO.OF HATS TO BE MADE= 9
YARD OF YARN NEEDED TO MAKE EACH HAT= 7/8
THEN,
TOTAL YARDS OF YARN= 9*7/8
= 63/8
Given to write answer in mixed form= 7⅞
ThankYouPlease mark me as brainliest
Box A contains only 20-cent coins and Box B contains only 50-cent coins. The number of coins in Box A is twice the number of coins in Box B. The amount of money in Box B is $1.60 more than the amount of money in Box A. How many 20-cent coins are there in Box A?
Answer: C
Step by Step Explanation:
20¢ 50¢ Box A : Box B Diff Box B -- Box A 2 : 1 0.50--0.40 = $1.600.20 * 2 : 0.50 0.104 = 1.600.40¢ u = 1.60 ------16, 0.40¢ Coins Box A 0.1032, 0.20¢ Coins Box A u = 16 The answer choice is C
(1) 8
(2) 16
(3) 32
(4) 48
Answer:
find out and discuss drawbacks that campaigners should avoid in order to run a successful social media campaign against human rights violations
Mean:median:mode:range
Answer: Hi there ^^ oki so ima explain what these are/mean
So for starters this is used in math and isnt really useful but u got to do the work sadly so.
the mean is the arithmetic average of a set of given numbers.
the median is the middle in sorted numbers (after u sort the given numbers), ascending or desending, list of numbers can be more descripited of that data set than the average.
the mode is the value that appears most frequently, for example "the mode of {4,2,4,3,2,2} is 2 because it accurs 3 times, so in short words the mode is the number used the Most,
And lastly the Range is the differance between the highest and the lowest values in a set of numbers.
i hope this helps u out! ^^ ~xlXCherryColaXlx
There is a pair of parallel sides in the following shape. 9, 4, and 5. What is the area of the shape?
Answer:
28
Step-by-step explanation:
The formula for trapezoid area is [(b1+b2)/2]h where the b's are the bases and the h is the height. Plugging the values in, you get 28. Have a good day!
Mate I’ve got it! 28 is our answer.
To make a small vase, Elisa uses no more than 4.5 ounces of clay. To make a large vase, she uses at least 12 ounces of clay. Which compound inequality represents the number of ounces of clay, c, that Elisa uses to make one vase of either size?
4.5 < c < 12
4.5 ≤ c ≤ 12
c < 4.5 or c > 12
c ≤ 4.5 or c ≥ 12
Answer:
last one is the answer of the following question
Answer:
D
Step-by-step explanation:
Can any math experts please help me out with this? Thank you,
Answer:
13) x = 19
14) x = 12.4
Step-by-step explanation:
So, for 13, we know that the whole thing is 90 degrees, a right angle.
So, (4x - 17) + 31 = 90
Now, we'll subtract 31 from 90 to figure out the other angle.
4x - 17 = 59
Now, add seventeen to both sides to get 4x alone...
4x = 76
Divide each by four!
x = 19
Now, to check, we plug this x value into our first equation:
(4(19) - 17) + 31 = 90
(76 - 17) + 31 = 90
(59) + 31 = 90
90 = 90 :: true!
________________________________________
For 14, we know that the total must be 180, because it's a straight angle.
So, (5x + 22) + 96 = 180
Again, subtract the known angle from each side:
5x + 22 = 84
Subtract 22 from each side to get the exponent by itself...
5x = 62
Divide each side by 5:
x = 12.4
Now, plug it in to check.....
(5*12.4) + 22 + 96 = 180
62 + 22 + 96 = 180
84 + 96 = 180
180 = 180 :: true!