A bicycle wheel with diameter 16 inches rides over a screw in the street. The screw is on level ground before it
punctures the bike's tire. After the bike has moved forward another 56 inches, how high above the ground is the
screw? Round to the nearest tenth of an inch.
O 4 inches
O 8 inches
O 12 inches
O 16 inches

Answer:

(0, - 23 )

Step-by-step explanation:

Find the equation of the line in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 72, 25) and (x₂, y₂ ) = (- 36, 1) ← 2 ordered pairs from the table

m = [tex]\frac{1-25}{-36+72}[/tex] = [tex]\frac{-24}{36}[/tex] = - [tex]\frac{2}{3}[/tex] , thus

y = - [tex]\frac{2}{3}[/tex] + c

To find c substitute any ordered pair into the equation

Using (- 54, 13 ) , then

13 = 36 + c ⇒ c = 13 - 36 = - 23 ← y- intercept

Thus coordinates of y- intercept = (0, - 23 )

[tex]11v+9=11\cdot5+9=55+9=64[/tex].

Hope this helps.

Answer:

64

Step-by-step explanation:

9v + 9 + v + v

Combine like terms

11v+9

Let v = 5

11*5+9

55+9

64

Answer:

-5.5 and 0.4 (first option in your list)

Step-by-step explanation:

Please see attached image where we have graphed the expression [tex]y=6x^2+31x\\[/tex]  and the expression [tex]y=12[/tex]  and looked for the two points of intersection of the parabola (representing the first expression) with the horizontal line (second expression)

From the graphing we extract that one solution for "x" is approximately -5.5, and the other one around 0.36, which can be rounded to one decimal to: 0.4. then the closest solution is that one shown as the first option in your list.

Hey There!!~

Answer: 42

Because, 55 + 72 = 127. After you should do 3 ÷ 127. The divisor (3) goes into the first digit of the dividend (1), 0 times. Therefore, put 0 on top. Then you should Multiply the divisor by the result in the previous step (3 × 0 = 0) and write that answer below the dividend. After that Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.  Move down the 2nd digit of the dividend in the below. The divisor (3) goes into the bottom number (12), 4 time(s). Therefore, put 4 on top... Subtract the result in the previous step from the number written above it. (12 - 12 = 0) and write the answer at the bottom. Move down the last digit of the dividend in the below. The divisor (3) goes into the bottom number (7), 2 time(s). Therefore put 2 on top, Multiply the divisor by the result in the previous step (3 x 2 = 6) and write the answer at the bottom... Subtract the result in the previous step from the number written above it. (7 - 6 = 1) and write the answer at the bottom.  The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 127 divided by 3 calculated using Long Division is

Answer: 42 and Remainder 1.

Hope This Helps!!~

[tex]Itsbrazts[/tex]

Hey There!! ~

The answer to this is: 79. Because, First you need to add fiifty five and seventy two which that will be 127 Then, Add fifity five and seventy two Plus, Divide three Then. you should get the answer 79.

Hope It Helps!~                                                                                          [tex]ItsNobody[/tex]~  

Answer:

the answer would be 16 to 3 which can also be shown as 16:3

Step-by-step explanation:

this is because it is asking for candles first so you put 16 next they ask for books so that is why you put 3 next

Answer: (1, -2)

Step-by-step explanation:

The original coordinate of S is (-2, 1)

As mentioned, also in the hint, exchange the position of x and y coordinate to get the new coordinate that is reflected after y=x

(basically in the 4th quadrant)

The new coordinate of S' is (1, -2)

Hope this helps!! :)

Please let me know if you have any question

Answer:

The answer is B.

Step-by-step explanation:

HOPE THIS HELPS U!!!

Answer:

3rd number = 30

2nd number = 7

1st number = 15

Step-by-step explanation:

(T) total of three numbers = 52

let 3rd number = 2 x

let 2nd number = x - 8

let 1st number = x

T = 1st + 2nd + 3rd

52 = 2x + (x - 8) + x

52 + 8 = 4x

60 = 4x

x = 60 / 4

x = 15

therefore,

let 3rd number = 2 (15) = 30

let 2nd number = 15 - 8 = 7

let 1st number = 15

Answer:

3rd = 30

2nd  = 7

1st  = 15

Step-by-step explanation:

(T) total = 52

3rd  = 2 x

2nd = x - 8

1st = x

T = 1st + 2nd + 3rd

52 = 2x + (x - 8) + x

52 + 8 = 4x

60 = 4x

x = 15

so

3rd = 2 (15) = 30

2nd  = 15 - 8 = 7

1st  = 15

Answer:

Step-by-step explanation:

For a first order decay, fraction remaining = 0.5n where n = number of half lives elapsed.

fraction remaining = 55% = 0.55

0.55 = 0.5n

log 0.55 = n log 0.5

-0.2596 = -0.301 n

n = 0.8625 = # of half lives elapsed

0.8625 half lives x 2.5 billion years/half live = 2.16 billion years have elapsed = age of the rock

b)  0.15 = 0.5n

log 0.15 = n log 0.5

-0.824 = -0.301 n

n = 2.74 half lives

2.5 billion years/half life x 2.74 half lives = 6.85 billion years = age of rock

Answer:

d

Step-by-step explanation:

The speed is the independent variable because when it changes all the others change because it changed

The correct option is D. speed.

Given, As a person increases cycling speed, the rate of calorie burned, distance traveled, and energy also increase.

We have to find the Independent variable.

Since, Calories burned, distance traveled and Energy generated all are dependent on the speed of cycling. As the speed increases calories burned will be more.So speed is the independent variable here and the other variables all are dependent variable.

Hence the correct option is D. speed.

For more details follow the link:

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Answer:

-13

Step-by-step explanation:

An additive inverse of a number (x) is a number which when added to x results in being 0.

The given problem is -3 - (-6)

The additive inverse of -6 is 6

-3 -(-6) = -3 + 6 = 3

Communities property: 6-3 = 3

The answer is:

Because -3+6 is an equivalent expression, the answer is 3

Answer:

[tex] \sqrt{49} \\ \sqrt{50} \\ \sqrt{63} [/tex]

Step-by-step explanation:

[tex] \sqrt{50} = 5 \sqrt{2} = 7.07 [/tex]

[tex] \sqrt{49} = 7[/tex]

[tex] \sqrt{63} = 3 \sqrt{7} = 7.94[/tex]

Answer:

x^ (21/5)

Step-by-step explanation:

[tex]\sqrt[5]{x ^7}[/tex]  ^ 3

Rewriting as a fraction

x ^ 7/5  ^3

We know that a ^b^c = a^ ( b*c)

x ^ ( 7/5 *3)

x^ (21/5)

Answer: That would be x and 21/5 ths

Step-by-step explanation:

Answer: D. Simple Random Sampling

Step-by-step explanation: When selection is made or based on chance which is equal or the same for all members within a population. In the scenario described above, there is no prior shuffling, arrangement or segregation of members within the population into groups or subgroups, rather the interviewed voters were chosen at random directly from within the larger population based on equal chance. Therefore voters already have their numbers, then using a random number generator, voters whose number corresponds were interviewed is a clear scenario of simple Random Sampling.

Using sampling concepts, it is found that the correct option is:

d. simple random sampling

Samples are classified as:

In this problem, a random number is generated to select each voter, hence it is a simple random sampling, and option d is correct.

To learn more about sampling concepts, you can take a look at https://brainly.com/question/25122507

The next number in the sequence is 8

Answer:

The value of Cov (X, Y) is 25/6.

Step-by-step explanation:

It is provided that:

[tex]X\sim U(0,10)\\\\Y|X\sim U(0,x)[/tex]

The probability density functions are as follows:

[tex]f_{X}(x)=\left \{ {{\frac{1}{10};\ 0<X<10} \atop {0;\ \text{otherwise}}} \right. \\\\f_{Y|X}(y|x)=\left \{ {{\frac{1}{x};\ 0<Y<x} \atop {0;\ \text{otherwise}}} \right.[/tex]

Then the value of f (x, y) will be:

[tex]f_{X,Y}(x,y)=\left \{ {{\frac{1}{10x};\ 0<X<10,\ 0<Y<x} \atop {0;\ \text{Otherwise}}} \right.[/tex]

Then f (y) is:

[tex]f_{Y}(y)=\int\limits^{10}_{y} {\frac{1}{10x}} \, dx[/tex]

         [tex]=\frac{1}{10}\times [\log x]^{10}_{y}\\\\=\frac{1}{10}[\log 10-\log y][/tex]

Compute the value of E (X) as follows:

[tex]E(X)=\frac{b+a}{2}=\frac{10+0}{2}=5[/tex]

Compute the value of E (Y) as follows:

[tex]E(Y|X)=\frac{b+a}{2}=\frac{x+0}{2}=\frac{x}{2}\\\\\text{Then,}\\\\E(E(Y|X))=E(\frac{x}{2})\\\\E(Y)=\frac{1}{2}\times E(X)\\\\E(Y)=\frac{5}{2}[/tex]

Compute the value of E (XY) as follows:

[tex]E(XY)=\int\limits^{10}_{0}\int\limits^{x}_{0} {xy\cdot \frac{1}{10x}} \, dx dy[/tex]

             [tex]=\int\limits^{10}_{0}\int\limits^{x}_{0} {\frac{y}{10}} \, dx dy\\\\=\frac{1}{10}\times \int\limits^{10}_{0}{\frac{y^{2}}{2}}|^{x}_{0} \, dx \\\\=\frac{1}{10}\times \int\limits^{10}_{0}{\frac{x^{2}}{2}}\, dx\\\\=\frac{1}{10}\times [\frac{x^{3}}{6}]^{10}_{0}\\\\=\frac{100}{6}\\\\=\frac{50}{3}[/tex]

Compute the value of Cov (X, Y) as follows:

[tex]Cov (X, Y)=E(XY)-E(X)E(Y)[/tex]

                 [tex]=\frac{50}{3}-[5\times\frac{5}{2}]\\\\=\frac{50}{3}-\frac{25}{2}\\\\=\frac{100-75}{6}\\\\=\frac{25}{6}[/tex]

Thus, the value of Cov (X, Y) is 25/6.

Answer:

24 marbles

Step-by-step explanation:

P( purple) = 2/3 = purple/total

                   2/3 = 16/total

Using cross products

                  2 * total = 3 *16

                    2 * total  = 48

                            total = 24

There are 24 marbles

Given :

[tex]F(x)=3(x^2-1)[/tex]

To Find :

the absolute minimum and absolute maximum values of f on the given interval

[-1,2] .

Solution :

Now , getting first order differential equation and equating its equal to zero.

[tex]\dfrac{d(3x^2-3)}{dx}=0\\\\6x=0\\x=0[/tex]

So , x=0 is critical point .

Now , coefficient of [tex]x^2[/tex] is positive .

Therefore , it is increasing function after  x=0 .

So , min value will be at , x=0.

[tex]Min = (0^2-1)\times 3=-3[/tex]

And maximum value will be the maximum at the x=2 because it is increasing function .

[tex]Max=(2^2-1)\times 3=9[/tex]

Therefore , max and min value is 9 and -3 respectively .

Hence , this is the required solution .

Answer: the arc elasticity percentage change from 80 to 100 is 22%

Step-by-step explanation:

formula for arc-elasticity percentage change is given as;

{ [Xₙ - X₀]  / [ (X₀+Xₙ) / 2] } × 100

X₀ is old value, Xₙis new value

Now from our question

old value X₀ = 80

new value Xₙ = 100

WE SUBSTITUTE

Arc-Elasticity = { [100 - 80]  / [ (80+100) / 2] } × 100

Arc-Elasticity = { [20]  / [ 180 / 2] } × 100

Arc-Elasticity = (20/90)  × 100

Arc-Elasticity = 22.22 ≈ 22%

Therefore the arc elasticity percentage change from 80 to 100 is 22%

In this exercise we have to use the percentage knowledge, in order to calculate the arc elasticity, so:

the arc elasticity percentage is 22%

First, we have that the formula for the elastic arc is:

[tex]([X_n - X_0] / [ (X_0+X_n) / 2] } * 100[/tex]

Informed the exercise data as:

Substituting the values ​​in the formula given above, we find that:

[tex]Arc-Elasticity = { [100 - 80] / [ (80+100) / 2] } * 100\\Arc-Elasticity = { [20] / [ 180 / 2] } * 100\\Arc-Elasticity = (20/90) *100\\Arc-Elasticity = 22%[/tex]

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Answer:

9x

Step-by-step explanation:

6x + 3x

6 + 3 = 9

add the x and you get 9x

i hope this helps

Answer:

6x + 3x = 9x

Step-by-step explanation:

6 and 3 have the same coefficient meaning you can combine them and add them to get 9x.

Answer:  -1≥ x > 7    or x>7  and x ≤ -1

Step-by-step explanation:

-6x + 14 < -28      

           -14  -14

-6x < -42

  x> 7        

AND

3x + 28 ≤ 25

      -28   -28

3x ≤ -3

x ≤ -1

x>7 and x≤ -1    

Answer

x>7 and x<-1

Step-by-step explanation:

1a.) -6x+14<-28

2a.) subtract 14 from 14 and -28 (what you do to one you do to other)

3a.) you are left with -6x<-42

4a.) divide by -6 eache side of "<"

5a.) you HAVE to flip the sign when you divide by a negative

6a.) x>7

1b.) 3x+28<25

2b.) subtract 28 from 28 and 25 (what you do to one you do to other)

3b.) 3x<-3

4b.) divide both sides by 3

5b.) x<-1

Answer:

v=w/y

Step-by-step explanation:

If w=y+v, and solving for v, then simply just divide both sides by y, and you get v=w/y.

Answer:

y= 407.54654 ft

Step-by-step explanation:

This is an exponential decay functions

y = ab^x  where a is the initial value and b is ( 1 - rate of decay)

a = 520

b = 1- 3%

y = 520 ( 1- .3) ^x

y = 520 ( .97) ^x

We want x to be 8 weeks

y = 520 ( .97) ^8

y= 407.54654 ft

Answer:

Step-by-step explanation:

[tex]Midpoint = (\frac{x_2+x_1}{2} , \frac{y_2+y_1}{2} )\\[/tex]

6.

[tex](5.8) =(x_1,y_1)\\(-1,-4) =(x_2,y_2)\\\\Midpoint =\left(\frac{-1+5}{2},\:\frac{-4+8}{2}\right)\\\\Midpoint =( \frac{4}{2} , \frac{4}{2} )\\\\Midpoint = ( 2 , 2)[/tex]

8.

[tex](-3 ,-7) =(x_1 ,y_1)\\(3,-5)=(x_2,y_2)\\\\\left(\frac{3-3}{2},\:\frac{-5-7}{2}\right)\\ \\Midpoint = (\frac{0}{2} , \frac{-12}{2} )\\\\Midpoint = ( 0, -6)[/tex]

10.

[tex]L(-9 ,4) =(x_1 ,y_1)\\K(2 , -1 ) = (x ,y )\\M(x_2 ,y_2 )=?\\ \\x = \frac{x_2+x_1}{2}\\ 2 = \frac{x_2 +(-9)}{2}\\ 2 = \frac{x_2-9}{2}\\ Cross\:Multiply\\\\4 =x_2-9\\4+9=x_2\\13 =x_2\\\\y = \frac{y_2+y_1}{2}\\ -1 = \frac{y_2 +4}{2} \\-1 \times 2= y_2+4\\-2 =y_2+4\\-2-4 =y_2\\-6 =y_2\\\\(x_2 ,y_2) = (13 , -6)\\[/tex]

Answer:

Step-by-step explanation:Let Ali's number of sweets be x

so let Steve's number of sweet be x + 30

hence the equation is x/(x  + 30)= 2/7

or, 7x = 2(x + 30)

or, 7x= 2x +60

or,7x-2x=60

or, 5x=60

or, x=60/5

or, x=12

Alif gets 12 sweets

x+30

or, 12+30

=42

Ans:Steve gets 42 sweets.

Answer:

93 degrees

Step-by-step explanation:

To find the angle, we need to find the angles inside of the triangle. The triangle is formed from the two lines with angles 127 and 146 at the base. It is surrounded by the 127, 146 and the ? angle.

We know that the line at the base is 180, so we need to find the supplementary angles that correspond to 127 and 146.

180-127= 53

180-146=34

We now know the two bottom angles inside the triangle are 53 and 34 degrees. The angles in a triangle always add up to 180 degrees.

180-53-34=93

We know the top angle is 93 degrees. The ? angle is vertical to 93. Vertical angles are always congruent. That means ? is 93 degrees

Answer:

93 degrees

Step-by-step explanation:

Focus on the small triangle at the lower right.

The supplement of the 127 degree angle is (180 - 127) degrees, or 53 degrees.  The supplement of the 146 degree angle is (180 - 146) degrees, or 34 degrees.

The interior angles of this small triangle must add up to 180 degrees.  The third angle of this small triangle is the "vertical angle" of the unknown angle:  

? + 53 + 34 = 180, so:  ? = 93

The unknown angle is now known to be 93 degrees.

The area of a 2D form is the amount of space within its perimeter. The measure of the side of the canvas is closest to 9 inches. The correct option is B.

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

Given that Elias completely covered a square canvas using 77.8 in.² of fabric without any overlap. Therefore, the area of the canvas will be equal to the area of the fabric. Thus, we can write,

Area of the canvas = Area of the fabric

Since the area is square, therefore,

Area of the canvas = Area of the fabric

Area of the canvas = 77.8 in.²

Side of the canvas = √(77.8 in.²)

Side of the canvas = 8.82 inches ≈ 9 inches

Hence, the measure of the side of the canvas is closest to 9 inches.

Learn more about the Area here:

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Answer:97.54

Step-by-step explanation:

Answer:

97.54

Step-by-step explanation:

  1 1

63.55

 31.99

+  2.00

________

97.54