Find the measure of each arc. For each arc, write two or more complete sentences explaining which theorem or postulate you used to find your answer. Include your equations and calculations in your final answer.

m arcQS

If the ball drops 80 meters in the 4 seconds, the time it takes the ball to drop in the next 8 seconds is; 720 meters

We are told that a ball dropped vertically falls a distance of d in t seconds and that d is directly proportional to the square of t. Thus;

D ∝ t²

Thus;

D = kt²  

where d is the constant of proportionality.

We are given that D = 80 m when t = 4 seconds and as such we have;

80 = k*4²

k = 80/16

k = 5

Therefore, the equation of motion is;

D = 5t²

When t = 8 + 4 = 12 seconds, we have;

D = 5 * 12²

D =  5 * 144

D =  720 m

Therefore, the distance the ball drops in the next 8 seconds

= 720 - 80

= 640 m.

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the answer is 14.28

Step-by-step explanation:

w/1.4_3.7=6.5

w/1.4=6.5+3.7

w/1.4=10.2

w=10.2*1.4

w=14.28

Answer: 14.28!

Step-by-step explanation:

I got a perfect 100% on my exam! This answer was right can i get brainliest?

Answer:

θ = 110.61°

Step-by-step explanation:

It's not that hard :)

Let a = θ/3

Then sin a = 3/5 = 0.6

a = sin⁻¹(a) = 36.87°

=> θ/3 = 36.87°

θ = 3 x 36.87

θ = 110.61°

There are 3 teaspoons in a tablespoon, 15 teaspoons to tablespoons using a ratio table and using a conversion factor will be total as 5 tablespoons.

The consistent relationship between two values is shown in a ratio table. A rate is a unique ratio that is used to compare two quantities with different units of measurement. There are various ways to examine a ratio table.

Equivalent ratios between two quantities are displayed in ratio tables. In order to find an equal ratio, you can make a ratio table by multiplying (or dividing) the quantities in the ratio by the same number.

You can use a ratio table to determine equal ratios and solve difficulties.

A conversion factor is a kind of number that is used to multiply or divide one set of units into another.

If any kind of a conversion is required, it must be done using the proper and correct conversion factor to get an identical value. For instance, 12 inches equals a total of one foot when converting between inches and feet.

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Answer:

9p-0.9p^2

Step-by-step explanation:

WE STILL HAVE TO FIND THE TWO UNKNOWNS FIRST. TO BE ABLE TO GET Z

x°+144°=180°(angles on a straight line)

x°=180°-144°

x=36°

y°+56°=180°(angles on a straight line)

y°=180°-56°

y=124°

z°+y°+x°=180°(sum of angles in a triangle)

z°+124°+36°=180°

z°=180°-124°-36°

z=20°

Answer:

Step-by-step explanation:

I will explain it in a screenshot. That all the way is divided into 5 parts. And 4 of them were by bicycle, and 1 part is by walk. So we divide all the way to 5 and multiply to leftover 1 piece.

The table has an average rate of change of 3

The table represents the given parameter

From the table, we have the following interval is given as

[3, 7]

This can be rewritten as

x = 3 to x = 7

From the attached table, we have

f(3) = 7

f(7) = 19

The average rate of change of the function is then calculated as

Rate = [f(b) - f(a)]/[b - a]

This gives

Rate = [19 - 7]/[7 - 3]

Evaluate

Rate = 3

Hence, the average rate of change is 3

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The inequality that is not part of the system of inequalities that defines a polygonal convex set that includes all points in the interior of a square whose vertices are: A(4, 4), B(4, -4), C(-4, -4) and D(-4, 4) is y ≤ -4. This is option C

given data

A(4, 4)

B(4, -4)

C(-4, -4)

D(-4, 4)

Looking at the given points the coordinates we can see that:

x coordinates has points:

This is basically 4 and -4 which is represented as -4 ≤ x ≤ 4

y coordinates has points:

This is basically 4 and -4 which is represented as -4 ≤ y ≤ 4

The inequality that is different from the one listed above is in option C making it the correct option.

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Answer:

[tex]x + 8 \times 16 \\ 8 - 16 = 8[/tex]

The probability of selecting a female student with long hair is 45%

Let there be a total of 100 students in the class

Since 60% of the students are female, therefore out of 100 students 60 will be female students

Now, out of these 60 students, 75% have long hair, As a result, = 75% of 60 = 45 female students will have long hair

Probability of selecting female student with long hair = Number of female students with long hair/ Total number of students in the class

= 45/100

So, there is a 0.45 or 45% chance that a female student with long hair is selected

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Answer:

[tex]y = - \frac{ {4x}^{2} }{5} + \frac{7x}{5} [/tex]

Answer: it was changed by 9 members per week.

Step-by-step explanation:

Answer:

the first is a function and the parabola is not a function

Step-by-step explanation:

A simple way to know why is the vertical line test.

Draw a vertical line and see whether if there are more than one point in the vertical line. If there's more than one point in the line then it's not a function, but if only one point on the vertical line it IS a function.

In the first graph, you'll notice that any vertical line you'll draw won't pass through two points ever. On the other hand, second graph will have two points found in the vertical line drawn by you, for example: (-2, 3);(-2, -3)

Wish you've enjoyed my answer because the more you enjoy maths, taste it, love it, and understand it, the more you will be successful in it. Good luck

Answer:30.6452% decrease

Step-by-step explanation:

-Subtract starting value(original price) minus final value

-Divide that amount by the absolute value of the starting value

-Multiply by 100 to get percent decrease

-If the percentage is negative, it means there was an increase and not an decrease.

Answer:

The scientific notation for 500000000000 is 5 × 1011

Step-by-step explanation:

The 11 is going to be a superscripts(meaning its going to be placed at the top right corner of the 10)

The slope of g(x) is [tex]\frac{-2}{5}[/tex] times the slope of f(x)

The x-intercept of f(x) is 8 more than the y-intercept of g(x)

As x approaches -∞, f(x) approaches ∞ and g(x) approaches -∞

Given,

f(x) = 10-5x

g(x) = -6+2x

The slope of f(x) = -5

The slope of g(x) = 2

Hence the slope of g(x) is [tex]\frac{-2}{5}[/tex] times slope of f(x)

For x-intercept assign zero value to f(x). Thus,

10-5x = 0

=> x = 2

So intercept of f(x) = 2

y-intercept of g(x) = -6

Hence x-intercept of f(x) is 8 more than y-intercept of g(x)

As x approaches -∞, f(x) = 10-(5 times (-∞)) = ∞

As x approaches -∞, g(x) = -6 + 2x = -6 + 2(-∞) = -∞

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IF THE SLOPE IS 0 IT MEANS THAT THERE IS NO CHANGE IN THE Y COORDINATE OF THE LINE.FOR ANY VALUE OF X GIVEN

THEREFORE THE EQUATION WILL BE

[tex]y = (0)( - 6) - 2 \\ y = - 2[/tex]

THE EQUATION IS

[tex]y = - 2[/tex]

HOPE THIS HELPS

Answer:

The slope-intercept form would be: y = 0x - 2

Arithmetic sequences, often known as the common difference, are patterns of numbers that rise or fall at a consistent rate.

What is the formula for calculating the average difference between two arithmetic sequences?

D is equal to a(n) - a(n - 1), where a(n) is the last term and a(n - 1) is the term before it in the series.

Answer and justification ,A common difference exists in every arithmetic sequence. We can enter the values of an, a1, and n into the arithmetic sequence formula and find the common difference if a problem offers us an, a1, and n but not the common difference.

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The solution to the questions are

The general formula is given as

A = Pe^rt

In this case, we have

P = Initial number of people

r = rate

t = time

From the question, we have

P = 8

r = 12% = 0.12

So, we have

A = 8 * e^0.12t

This means that t = 5

So, we have

A = 8 * e^(0.12 * 5)

Evaluate

A = 15

This means that A = 3,700,00

So, we have

8 * e^0.12t = 3,700,00

Divide by 8

e^0.12t = 46250

Take the logarithm of both sides

0.12t = log(46250)

This gives

0.12t = 4.7

Divide

t = 39

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For the given,  F, G and H are the midpoints of the sides of ΔJKL, FG = 37, KL = 48, and GH = 30, then measure of FH = 24, measure of JL = 74, measure of KJ = 60 and measure of FJ = 30.

As given in the question,

F, G, and H are the midpoints of the sides of ΔJKL.

F is the midpoint of KJ, G is the midpoint KL, H is the midpoint of JL

Measure of the required sides are as follow:

FH = (KL / 2)                         (by midpoint theorem)

     = (48/2)

     = 24

JL = 2 x FG             (by midpoint theorem)

   = 2 x 37

   = 74  

KJ = 2 x GH             (by midpoint theorem)

    = 2 x 30

    = 60

FJ = GH = 30            (by midpoint theorem)

Therefore, for the given,  F, G and H are the midpoints of the sides of ΔJKL, FG = 37, KL = 48, and GH = 30, then measure of FH = 24, measure of JL = 74, measure of KJ = 60 and measure of FJ = 30.

The complete question is:

If F, G, and H are the midpoints of the sides  KJ, KL, and JL respectively of ΔJKL, FG = 37, KL = 48, and GH = 30, find each of the following measures. FH= JL= KJ= FJ=​

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The circumference of circle with radius 9.7inch is 60.916 inch.

The perimeter of a circle is known as its circumference. It is the length of the circle's whole perimeter. The diameter of a circle and the constant are multiplied to get the circumference of the circle. This measurement of a circle's circumference is necessary for someone to cross a circular park or for a circle-shaped table to have a border. The units of the circumference are the same as the units of length and it is a linear value.

A circle is a closed round object whose border points are all equally spaced apart from the center, which is a fixed point.

Given that :the circle with a radius of 9.7 inches

Circumference of a circle is [tex]2\pi r[/tex]

2 ×3.14×9.7 = 60.916

The circumference of circle with radius 9.7inch is 60.916 inch.

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Answer:

 3⁶

------

 4¹⁵

Step-by-step explanation:

(        4⁻³      )³

(  -------------  )

(   3⁻² × 4²   )

Switch numbers with negative exponents

(         3²     )³

(  -------------  )

(   4³ × 4²   )

(         9     )³

(  -------------  )

(   64 × 16  )

(       9         )³

(  -------------  )

  (   1024  )

Multiply 9 and 1024 by the 3rd power

    729  

 -------------  

1,073,741,824

Simplified would be:

 3⁶

------

 4¹⁵

I hope this helps!

Answer:

Gross Income = $ 43400

Adjusted Gross Income=$40500

Taxable Income = $33840

Step-by-step explanation:

given that-

Income paid to man

Wages = $41,500

Savings Interest = $1900

Tax Def Contribution=$2900

Deductions= $6660

personal exemption =$4050

Gross Income = Income paid to man = 41500 + 1900 = $ 43400

Adjusted Gross Income = Income - Tax Def Contribution =  $43400-$2900=$40500

Taxable Income = AGI - Deductions  = 40500 - 6660 = $33840

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Answer:

4 hours :)

Step-by-step explanation:

Lets multiply to solve :)

1 hr: 2 1/2

2 hrs: 5

3 hrs: 7 1/2

4 hrs: 10 hrs

it will take 4 hours to walk 10 miles :)

Have an amazing day!!

Please rate and mark brainliest!

Answer:

sqrt(39) is between 6 and 7

Step-by-step explanation:

Start by looking at perfect squares

1^2 =1

2^2 = 4

3^2 = 9

4^2 = 16

5^2 = 25

6^2 = 36

7^2= 49

39 is between 36 and 49  

so sqrt(39) is between 6 and 7

These two functions' graphs do indeed intersect:

Formula 1: F(X)=2X+5

The formula 2=H(X)=3X+2

INTERSECT=(3,11)

a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).Everywhere in mathematics are functions, which are essential for building physical connections in the sciences.

The first step is to generate two linear functions. I created the linear functions f(x)=2x+5 and h(x)=3x+2 (without a quadratic term). Then

You substitute a number for the x:

F(X)=2X+5 in Table 1 (H(X)=3X+2) Table 2

X=1——->Y=2+5=7 X=1------> Y=3·1+2=5

X=2---->

Y=2·2+5=9 X=2-----> Y=3·2+2=8

X=3---->

Y=3·3+5=11 X=3-----> Y=3·3+2=11

The two - dimensional functions will intersect at the X=3/Y=11 location, as demonstrated by both data tables, which is the answer.

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Answer: 3.825, 3.180, 3.090, 3.008

Step-by-step explanation:

Answer: 3.008, 3.09, 3.18, 3.825

Step-by-step explanation: Least to greatest just means smallest to largest.