in a study reported in the news, "researchers found that adults who used headphones with a screen, for more than one hour per day were at a 13% higher risk for hearing loss compared to those who used headphones with their screens less than one hour. the research team randomly surveyed 3,506 people in california about their screen/headphone behaviors, as well as information about ear infections and other noises a person may encounter at work and in daily life. participants were also given physical check-ups, including a hearing test and a physical exam of the ears and eyes. the increased likelihood of hearing loss remained, even after the researchers adjusted for risk factors such as construction noise and inner ear anatomy. the researchers found no increased risk among people who used headphones with a screen less than one hour per day.

Reason:

The 24 needs to be changed to a 10 for it to be in scientific notation.

The template for scientific notation is [tex]a * 10^b[/tex] where [tex]0 \le |a| < 10[/tex]

So for example, [tex]1.23 \times 10^4[/tex] is in scientific notation.

Answer:

Step-by-step explanation:

draw an open circle on point -11 and a line going towards the left. Because it is less than -11 and not equal.

Point ( open circle ) on 0 going to the right because it is greater and does not including 0.

The slope of the line which passes through the points (4, 18) and (6x, 2k) is (k - 9)/(3x - 2).

According to the given question.

A line passes through points (4, 18) and (6x,2k).

Which means we have two points (4, 18) and (6x,2k).

As we know that, the slope of a line is the ratio of the amount that y increases as x increases some amount.And the slope formula is m=(y2-y1)/(x2-x1) if a lines passes through the point (x2, y2) and (x1, y1).

Therefore, the slope of the line which passes through the points (4, 18) and (6x,2k)

= 2k - 18/ 6x - 4

= 2[k - 9]/2[3x - 2]

= (k-9)/(3x - 2)

Hence, the slope of the line which passes through the points (4, 18) and (6x, 2k) is (k - 9)/(3x - 2).

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We calculate the right side of the equation : 47 - 17 = 30

2p = 30

Divide both side by 2, we have : p/2 = 30/2 -> p = 15.

Answer:

P=15

Step-by-step explanation:

2p = 47-17

2p = 30

Divide both sides by the coefficient of p which is 30

[tex]\frac{2p}{2} =\frac{30}{2}[/tex]

P= 15

The perimeter of a polygon is 24 units.

In this question, we have been given the coordinates of a polygon.

we need to find the perimeter of a polygon.

Let A= (-3,2), B = (2,2), C = (2,-4), D = (-1,-4), E = (-1,-2), F = (-3,-2)

First we find the length of each side of a polygon.

|AB| = √5² + 0²

|AB| = 5

|BC| = √0² + (-6)²

|BC| = 6

|CD| = √(-3)²+0²

|CD| = 3

|DE| = √0²+2²

|DE| =  2

|EF| = √(-2)²+0²

|EF| = 2

|FA| = √0²+4²

|FA| = 4

The perimeter of a polygon would be,

P = AB + BC + CD + DE + EF + FA

P = 5 + 6 + 3 + 2 + 2 + 4

P = 24 units

Therefore, the perimeter of a polygon is 24 units.

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Answer:

[tex]|4x+3|+7 < 10[/tex]

Step-by-step explanation:

When you evaluate the expression, you get [tex]-\frac{3}{2} < x < 0[/tex]

The distance AD is 49 miles.

As per the given values of speed and time, we will calculate the distance AC. Firstly equalising the units.

As per the known fact, 60 minutes = 1 hour

30 minutes = (1/60)×30

30 minutes = 0.5 hour

Now, speed, distance and time are related as -

Speed = distance ÷ time

Distance = speed × time

Distance = 62 × 0.5

Distance = 31 miles

So, AC = 31 miles and BC = 25 miles.

Therefore, AB = AC - BC

AB = 31 - 25

AB = 6 miles

The distance AD = AC + CD

AD = 31 + 3 × AB

AD = 31 + 3 × 6

AD = 31 + 18

AD = 49 miles

Therefore, the distance between AD is 49 miles.

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The complete question is attached.

Answer:

4

Step-by-step explanation:

2/9 + 2/9 + 2/9 + 2/9 =  8/9

Answer:

Step-by-step explanation:

-2x^6-9

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The four factors were used to create this Product Game board are  {2, 3, 5, 7} and the product missing from the grid is 25

To see what are factors are used in the given list, we just need to write each of the numbers, as a product of prime factors such as 2, 3, 5, 7 .

9 = 3* 3

15 = 3 *5

18 = 3 *2*3

21 = 7*3

30 = 5*3*2

35 = 7*5

36 = 3*3*2*2

42 = 2*3*7

49 = 7*7

As we can see, the 4 factors used to product the numbers in the given list are {2, 3, 5, 7}

for the second part that is to find the missing number between 21 and thirty we first need to write all the numbers between 21 and thirty and check which number is having the only factors of at least one of (2,3,5,7)

the numbers are 22 , 23 ,24, 25 ,26 ,27 ,28, 29

After checking the missing number is 25(5*5) because there has to be at least 4 products who have same factor and 5 is the factor who has appeared only three times

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endpoint y would be

(7,-4)

because when you graph all 3 points

(7,-4) adds nicely to the line that the other 2 make

Answer:

x = 5

Step-by-step explanation:

from the diagram

∠ AOB + ∠ BOC + ∠ COD = ∠ AOD ( substitute values )

8x + 7x + 6x = 105

21x = 105 ( divide both sides by 21 )

x = 5

Answer:

5

Step-by-step explanation:

AOB+BOC+COD=AOD

6x+8x+7x=105

21x=105

x=105÷21

x=5

Answer:

x=12 y=10 z=-12

Step-by-step explanation:

Simple Interest is the method of finding the interest amount for a particular principal amount of money at a particular rate of interest.

The simple interest for $900 at an interest rate of 6% is $108.

Simple Interest is the method of finding the interest amount for a particular principal amount of money at a particular rate of interest.

We have,

Principal = $900

Rate of interest = 6%

Time = 2 years.

Remember that time should always be in years.

The formula for simple interest is given by:

SI = PRT / 100

Where,

P = principal

R = rate of interest

T = Number of years

So,

SI = 900 x 6 x 2 / 100

SI = $108

Thus the simple interest for $900 at an interest rate of 6% is $108.

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Answer:

D.MSN

Step-by-step explanation:

Supplementary angles complete each other to 180° and they are on a straight line.

We are asked to find the supplementary angle to angle LSM on figure 2.

Amongst given options we see angle LSM and angle MSN make a straight line therefore they are supplementary angles.

Answer:

18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

18 boys + 11 girls = 29 students

18-11=7

The height of the ball after 1.5 seconds is 15.5 meters so option (C) will be correct.

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

Given the function as the height of ball f(x) and time x

f(x) = -10x² + 20x + 8

At x = 1.5

f(1.5) = -10(1.5)² + 20(1.5) + 8

f(1.5) = 15.5

Hence "The height of the ball after 1.5 seconds is 15.5 meters".

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Given question is incomplete complete question is attached below image ;

Answer: w can be 1,2,4,5

Step-by-step explanation:

Let's recap the formula of Area:
Area = width x length = w x l
Area = 40 = w x l

The definition of a whole number: is a number without fractions; an integer such as 0, 1, 2, 3, 4, 5, 6,...

Let's start with 0. 0 times anything is equal to 0, so we cannot make 40 out of zero. Cross this out.

Next, let's try with 1:

a. 1x40 = 40

Then, applying the same concept to the rest we have these multiplications:

b. 2x20 = 40

c. 4x10 = 40

d. 5x8 = 40

e. 8x5 = 40

f. 10x4 = 40

g. 20x2 = 40

h. 40x1 = 40

Let's recap the formula of Perimeter:

P = 2 x (w + l)

So, we have the calculated perimeters (according to the above finding):
a. P= 2x(1+40)=82

b. P= 2x(2+20)=44

c. P= 2x(4+10)=28

d. P= 2x(5+8)=26

The below answers do not fit the [width < length]

e. P= 2x(8+5)=26 [not an answer]

f. P= 2x(10+4)=28 [not an answer]

g. P= 2x(20+2)=44 [not an answer]

h. P= 2x(40+1)=82 [not an answer]

Answer:

$37.50

Step-by-step explanation:

The telephone pole is 35ft tall .

The height of any object is define as the distance measurement of that object from the top to its base. In geometry it is also called as altitude.

Height can be measured in various quantities such as feet, inches, centimeters etc.

Some of measurements are as below.

          1 feet = 12 inches

          1 feet = 30.48 cm

          1 inch = 2.54 cm

          1 feet = 3.28 feet

In the given question,

Convert 60 inches to feet ,

60 inches = 60/12 feet = 5 feet

Given, pole shadow = 50ft

child height =3.5ft

now, Set up  proportion between the ratios of the child and his shadow and the telephone pole and its shadow.

[tex]\frac{child \ height}{child \ shadow \ length} =\frac{pole \ height}{pole \ shadow \ length}[/tex]

Let, x be pole height

=> [tex]\frac{3.5}{5} =\frac{x}{50}[/tex]

now solve the equation,

3.5 ×50 = x × 5

x = 35

Thus, the pole is 35 feet tall.

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Square root of one hundred and seventy is greater than square root of one hundred and sixty eight.

A perfect square number is a number which when taken square root comes out as an integer.Every number which is not a perfect square when taken square root of it is irrational number.We can obtain square root of a perfect square number by prime factorisation method.

Given we have to compare [tex]\sqrt{170}[/tex] and [tex]\sqrt{168}[/tex].

We know that if the square roots are not given then we have easily concluded that 170 > 168.Same in the case of square root:

[tex]\sqrt{170} > \sqrt{168}[/tex].

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The area of the piece of paper is;

Area = length x width

⇒ a = l w unit square.

Here,

Given that;

The width of piece of paper = w

The length of piece of paper = l

We have to find the area of piece of paper by using a.

What is Area of rectangle?

The area A of a rectangle is given by the formula, A=lw , where l is the length and w is the width.

Now,

Consider the shape of piece of paper is rectangular.

The width of piece of paper = w

The length of piece of paper = l

Since, we know that;

Area of rectangle = length x width

Then, The Area of piece of paper 'a' = length x width

⇒ a = l * w

Where, a = Area of rectangle, l = length of piece of paper and

          w = width of rectangle.

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Answer:

2 - 5 = -3.

Step-by-step explanation:

I subtracted two from five and got negative three lol

Answer:

I think it's B (or A?)

Step-by-step explanation:

For alternate interior, they are alternate interior angles

Then for 2, they are equal and congruent, but they are SUBSTITITUING the angle numbers to the equation.

pls brainliest if I'm right :D

The  total money   Caroline would  have to pay for parking if she left her car in the lot for 3 hours is $11

For t hours the Caroline would pay 5+2t

What is algebraic expression?

Algebraic expression is a  mathematical statement  which points to when operations such as addition, subtraction, multiplication as well as division, are used for variables and constants, in essence, using algebraic expression, we can derive the equation that gives the total cost of Caroline driving and using the parking lot at the concert

There is a  fixed charge of $5, there is also an additional $2 for every spent, if represent hours spent by t, then she would pay 2t in total for using the parking lot.

Total cost=5+2t

when t=3 hours

total cost=5+(2*3)

total cost=$11

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Using a linear function, one constraint on the inequality is given by:

y < -0.5x.

A linear function is modeled by:

y = mx + b

In which:

Given two points, the slope is given by change in y divided by change in x.

For the line in the inequality, the points are:

(-2,1) and (0,0).

Hence the slope is given by:

m = (0 - 1)/(0 - (-2)) = -1/2 = -0.5.

Hence:

y = -0.5x + b.

When x = 0, y = 0, meaning that the y-intercept is of b = 0, and:

y = -0.5x.

Everything below the line is shaded, meaning that the values of y that are less than the line are shaded, and the inequality is:

y < -0.5x.

The inequality is only less, not less or equal, because the line is dashed and not solid.

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