The length of human hair is proportional to the number of months it has grown.



a. what is the hair length in centimeters after 6 months? round your answer to the nearest hundredth.



the hair length is about blank


centimeters.



question 2


b. how long does it take hair to grow 8 inches?



it takes blank


months.



question 3


c. use a different method than the one in part (b) to find how long it takes hair to grow 20 inches.



it takes blank


months.

Answer:

The answer is A. 10

Step-by-step explanation:

The two angles are alternate interior angles so they are congruent. Since they are congruent, you can write it in an equation.

5x - 25 = 3x - 5

subtract 3x from each side

2x - 25 = -5

add 25 to each side

2x = 20

divide 2 from each side

x = 10

Also, if you want to check your answer, you can plug 10 back into the equation to see if they're equal.

The relation between the given angles is given by the alternate interior

angles theorem.

If lines p and q are parallel then the value of x is A. 10°

Reason:

The given parameters are;

Condition; Line p, and line q, are parallel.

The angles (3·x - 5)° and (5·x - 25)° are alternate interior angles.

According to alternate interior angles theorem, we have the alternate

angles are congruent, where line p, and line q are parallel.

Therefore;

(3·x - 5)° ≅ (5·x - 25)° By alternate interior angles

(3·x - 5)° = (5·x - 25)° By definition of congruency

Solving, we get;

(3·x - 5)° + 25° = (5·x - 25)° + 25°

3·x + 20° - 3·x = 5·x - 3·x = 2·x

20° = 2·x

\(x = \dfrac{20^{\circ}}{2} = 10^{\circ}\)

The correct option is A. 10°

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We can conclude that triangle 2 is congruent to triangle 1 because a translation is a rigid motion.

8.3 x is the distance from the base of the wall to the bottom of the ladder

Using the sum of the areas of three intersecting squares, the Pythagorean Theorem shows how to get the side lengths of a right triangle. This theorem is an extremely useful technique that forms the basis for more complicated trigonometry concepts like the inverse of the Pythagorean theorem.

To determine the undiscovered side of a right-angled triangle, utilize the Pythagoras theorem. The hypotenuse (third side) of a right-angled triangle, for instance, can be determined using the formula c2 = a2 + b2, where 'c' stands for the hypotenuse and 'a' and 'b' are the two legs.

In two dimensions, the Pythagorean Theorem is helpful for navigation. You may calculate the shortest distance using it and two lengths. The two legs of the triangle will be north and west, and the diagonal will be the shortest line separating them. Air navigation can be done using the same ideas.

Therefore,

x =8.3 feet

Detailed explanation:

13² = 10² + x² according to the Pythagorean Theorem.

169 - 100= 69

69 = x²

8.3 = x

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Answer:

RECT and ANGL are similar triangles with a ratio of 9:16, and for TR, we have TR:24 in the ratio 9:16 so TR = 13.5

Hope this helps!

Given the word problem, we can deduce the following information:

1. The total amount is $12.07.

To determine the bills and coins equal to $12.07, we must follow the steps below:

Total = $12.07

So,

We subtract $10 bill since it is the largest bill not larger than the total ($12.07):

$12.07-$10.00= $2.07

We subtract $1.00 since it is the largest bill not larger than the total ($2.07):

$2.07-$1.00= $1.07

We subtract $1.00 since it is the largest bill not larger than the total ($1.07):

$1.07 -$1.00=$0.07

We subtract $0.05(Nickle) since it is the largest bill not larger than the total ($0.07):

$0.07-$0.05= $0.02

We subtract $0.01 (Dime) since it is the largest bill not larger than the total ($0.02):

$0.02-$0.01=$0.01

We subtract $0.01 (Dime) since it is the largest bill not larger than the total ($0.01):

$0.01-$0.01 =0

Therefore, the bills and coins are:

$10 bill =1

$1.00 bill =2

$0.05(Nickle) =1

$0.01 (Dime)=2

x < 9

_

Step-by-step explanation:

I am not sure if this is correct. but i think the answer is x with closed circle so that will mean underlined.

Answer:

4 feet × 16 feet × 25 feet

4 feet × 20 feet × 20 feet

and 4 feet × 40 feet × 10 feet

Answer:

(-2,4) is the point of intersection according to the graph

Displacement at t = 0 :

Displacement at t = 1 :

Displacement between t = 0 and t = 1 :

∴ The displacement between t = 0 and t = 1 is -4√2 meters.

Answer:

\(-4\sqrt{2} m\)

Step-by-step explanation:

Similar question to the previous one you asked, and I swear I will not make the same mistake again :)

First we will find the displacement at t = 0 and t = 1 to find both displacements.

t = 0,

\(x(0)=4cos(\pi (0)+\frac{\pi }{4} )=4cos(\frac{\pi }{4} )\\=4(\frac{\sqrt{2} }{2} )\\=2\sqrt{2} m\)

t = 1,

\(x(1)=4cos(\pi (1)+\frac{\pi }{4} )=4cos(\pi +\frac{\pi }{4} )\\=4(-\frac{1}{\sqrt{2} } )\\=-\frac{4}{\sqrt{2} }\)

Total Displacement = Final Position - Initial Position

= x(1) - x(0)

= \(-\frac{4}{\sqrt{2} } -2\sqrt{2} \\=-4\sqrt{2} m\)

Step-by-step explanation:

To dilate the figure by a factor of 2, I will multiply the x and y-value of each point by 2. I plotted all the new points to find the new triangle. To dilate the figure by a factor of 2, I will multiply the x-value of each point by 2.

Answer:

Kindly check explanation

Step-by-step explanation:

Sale before fundraiser = 32

Sale on the day of fundraiser = c

Cost of each carnation sold = 0.25

(Cost * sale before fundraiser) + cost * sale on day of fundraiser

(0.25 * 32) + 0.25 * c

8 + 0.25c

Or

Total carnation sold * cost per carnation

(sale before fundraiser + sale on day of fundraiser) * cost per carnation

(32 + c) * 0.25

Using a ruler and compasses, draw PQ (7.5cm), locate R using a 6.1cm radius from P, then connect PR. To measure ∠PQR, use a protractor with Q as the center.

To construct triangle PQR with sides PQ = 7.5 cm, QR = 6.1 cm, and ∠PQR = 45 degrees, follow these steps:

1. Draw a line segment PQ of length 7.5 cm using a ruler.

2. Place the compass at point P and draw an arc with a radius of 6.1 cm to intersect PQ. Label this point of intersection as R.

3. Set the compass to a radius of 7.5 cm and draw an arc with center Q.

4. Without changing the compass width, draw another arc with center R to intersect the previous arc. Label this point of intersection as P.

5. Connect points P and Q with a straight line segment to complete triangle PQR.

6. To measure the angle ∠PQR, use a protractor and place it on line segment QR such that the center of the protractor aligns with point Q. Then measure a 45-degree angle starting from the line segment QR and mark the point of intersection on line segment PQ. Label this point as S.

7. Connect points P and S to form the line segment PS.

8. Measure the length of line segment PS using a ruler.

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Answer:

okkk

Step-by-step explanation:

Answer:

I'm gonna say either 3/4 or 7/8. Don't quote me on it tho?!

Step-by-step explanation:

Answer:

9 spoons knives =12

9 spoons cost= £ 82.80

total no of 1 knife = 12x9 = 108

1 knife = 82.80 x 108 = 8,94, 240

so, 1 knife Cost's =£ 8,94,240

If the sample has the same mix of people, in the same proportions, as the population being studied then sociologists know if the sample they are using is representative. So the option c is correct.

No subject is off-limits when sociologists use the sociological lens and start asking questions. Every facet of human behaviour has the potential to be studied. Sociologists cast doubt on the society that people have built and inhabit. They observe behavioral patterns as individuals navigate that world.

Sociologists have uncovered workplace patterns that have revolutionized industries, family patterns that have educated parents, and educational patterns that have supported structural changes in classrooms by using sociological methodologies, methodical research, and a scholarly interpretive approach.

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The complete question is;

How do sociologists know if the sample they are using is representative?

a. If the people in the sample freely volunteered to serve as representatives

b. If the sample has an even number, decided by the researcher, of people from several different categories or backgrounds

c. If the sample has the same mix of people, in the same proportions, as the population being studied

d. If the participants have been interviewed to reveal possible bias.

Answer:

r = 4.

Step-by-step explanation:

0.4r = 1.6

4r = 16

2r = 8

r = 4.

0.4(4) = 1.6

1.6 = 1.6

Hope this helps!

Answer:

Step-by-step explanation:

\(\frac{2}{3}\)(y + 57) = 178

distribute \(\frac{2}{3}\) into the parentheses

\(\frac{2}{3}\)y + 38 = 178

      -38    -38

\(\frac{2}{3}\)y = 140

multiply both sides by the reciprocal of \(\frac{2}{3}\) which is \(\frac{3}{2}\)

( \(\frac{3}{2}\) ) \(\frac{2}{3}\)y = 140(     \(\frac{3}{2}\) )

\(\frac{2}{3}\) is cancelled out with only y remaining on the left side

y = 210

Step-by-step explanation:

f(3)= -2*3^2 +3 -5

= -2*9 +3 -5

= 16

Answer:

20

Step-by-step explanation:

= 0.25 (20−(22) (3) (\(\frac{2}{5}\)(25)

= 0.25 (20−(4) (3) (\(\frac{2}{5}\)(25)

= 0.25 (20−12) (\(\frac{2}{5}\)(25)

= (0.25) (8) (\(\frac {2} {5}\)(25)

= 2 (\(\frac {2} {5}\)(25)

= (2) (10)

= 2 x 10 = 20

The probability of a prison sentence greater than 18 years for a person convicted of second-degree murder is 0.1056 or about 10.56%.

We must normalize the variable using the following method in order to determine the likelihood that a person convicted of second-degree murder will serve a jail term longer than 18 years:

\(z = (x - μ) / σ\)

where: mean of the distribution (15 years), delta: standard deviation, and x: value of interest (18 years in this example) (2.4 years).

When we enter the values, we will get that:

z = (18 - 15) / 2.4 = 1.25

Then, we can use a calculator or table of the standard normal distribution to determine the probability associated with this z-score. The likelihood of a sentence longer than 18 years is represented by the region to the right of the value z = 1.25. We determine that the region to the right of 1.25 is roughly 0.1056 using a common normal distribution table.

Hence, the likelihood that a person convicted of second-degree murder will serve a sentence in jail longer than 18 years is 0.1056 or roughly 10.56%.

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If 15 employed women are randomly select:

(A) The probability that exactly 2 of them have never been married is 0.0476

(B) At most 2 of them have never been married is 0.0617

(C) At least 13 of them have been married is 0.2884

Permutations and combinations are methods used to calculate the number of possible outcomes in various situations. Permutations are understood as permutations and combinations are understood as select.

According to the Question:

(A) the probability of:

P( at most  2 have been married)

P(X ≤ 2) = P(X=0) + P(X =1) +P(X=2)

            = \(\frac{15!}{0!15!} (0.57)^0 (0.43)^{15} + \frac{15!}{11!14!} (0.57)^1 (0.43)^{14}\)

            = 0.0476

(B)  P( at most  2 have never been married)

P(X ≤ 2) = P(X=0) + P(X =1) +P(X=2)

             = 0.0617

(C) 1 - 35% = 65%

  0.65¹³ × (13×12/ 1×2)

= 0.2884

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Hi there!

\(\large\boxed{x \leq -9}\)

3x - 7 ≥ 4x + 2

Subtract 3x from both sides:

3x - 3x - 7 ≥ 4x - 3x + 2

-7 ≥ x + 2

Subtract 2 from both sides:

-7 - 2 ≥ x + 2 - 2

-9 ≥ x

x ≤ -9

(a) The critical points of f(x) are x = 1 and x = -4.(b) f(x) is increasing in the interval (1, ∞).  (c) At x = -4, This indicates a local minimum at x = -4.

At x = 1, This indicates a local maximum at x = 1.

To find the critical points of the function f(x), we need to find the values of x where the derivative f'(x) is equal to zero or undefined.

(a) Critical Points:

To find the critical points, we set the derivative equal to zero and solve for x:

f'(x) = (x - 1)²(x + 4) = 0

Setting each factor equal to zero, we get:

x - 1 = 0  =>  x = 1

x + 4 = 0  =>  x = -4

So the critical points of f(x) are x = 1 and x = -4.

(b) Increasing/Decreasing Intervals:

To determine where f(x) is increasing or decreasing, we can use the first derivative test. We need to examine the sign of the derivative in the intervals between and outside the critical points.

Interval (-∞, -4):

Choosing a test point x = -5, we can evaluate f'(-5):

f'(-5) = (-5 - 1)²(-5 + 4) = (-6)²(-1) = 36(-1) = -36

Since f'(-5) is negative, f(x) is decreasing in the interval (-∞, -4).

Interval (-4, 1):

Choosing a test point x = 0, we can evaluate f'(0):

f'(0) = (0 - 1)²(0 + 4) = (-1)²(4) = 1(4) = 4

Since f'(0) is positive, f(x) is increasing in the interval (-4, 1).

Interval (1, ∞):

Choosing a test point x = 2, we can evaluate f'(2):

f'(2) = (2 - 1)²(2 + 4) = (1)²(6) = 1(6) = 6

Since f'(2) is positive, f(x) is increasing in the interval (1, ∞).

(c) Local Maximum and Minimum:

To determine the local maximum and minimum values of f(x), we need to examine the behavior of the function at the critical points and the endpoints of the intervals.

At x = -4, f(x) changes from decreasing to increasing. This indicates a local minimum at x = -4.

At x = 1, f(x) changes from increasing to decreasing. This indicates a local maximum at x = 1.

Please note that these local maximum and minimum values are based on the information provided and assume that there are no other critical points or endpoints to consider beyond the given function and intervals.

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answer:

a.add 2

Step-by-step explanation:

A function rule describes how to convert an input value (x) into an output value (y) for a given function. An example of a function rule is f(x) = x^2 + 3. A function table is another name for an input-output table, a table that shows how a value changes according to a rule.

According to the Triangle Inequality Theorem, the sum of the lengths of two sides of a triangle is greater than the length of the third side of the triangle.

In this case, you know the lengths of two sides of the triangle, and you also know that "x" represents the length of the third side. Then, you can set up the following:

Solving the inequality, you get:

You can rewrite it as:

Hence, the answer is:

Answer: The answer is C

Step-by-step explanation:

Answer:

0 power

Step-by-step explanation:

Hello, any number to the 0 power is 1 because there is no product for the number at all so it would be identified as 1.

Answer:

0

Step-by-step explanation:

Any number raised to the power of one equals the number itself. Any number raised to the power of zero, except zero, equals one. This multiplication rule tells us that we can simply add the exponents when multiplying two powers with the same base.

Answer:

(x-3)^2 - 8, so a is 3 and b is 8

Step-by-step explanation:

use completing the square

hope this works :)