The wheels on jason's dirt bike messure 19 inches in diameter. How many revolutions will the wheels make when jason rides for 500 ft? Use 3.14 for pi. Round to the nearest whole number.

Answers

Answer 1
Answer:     101 revolutions

========================================================

Explanation:

C = circumference

C = pi*d

C = 3.14*19

C = 59.66

The distance around the wheel's edge is roughly 59.66 inches. This corresponds to the distance the bike travels after the tire spins one full revolution. It might help to imagine that there's wet paint on his tire, and that paint is being transferred to the flat ground.

Let x be the number of revolutions. After those x revolutions happen, the bike has moved forward 59.66x inches. Set this equal to 6000 (because 500 ft = 500*12 = 6000 inches) and solve for x

59.66x = 6000

x = 6000/59.66

x = 100.569896077774

x = 101

After 101 revolutions, Jason has traveled about 500 ft.

Note how x = 100 is too small because 59.66*x = 59.66*100 = 5966 which is 34 inches short of 6000 inches.

And also notice that x = 101 works because 59.66*x = 59.66*101 = 6,025.66 which is over the target mark we're after.

Answer 2
Radius 8.5

Circumference 2 pi r^2
=2(3.14)(8.5)^2
=6.28*72.25
= 453.73 in

12in=1ft
(453.73)/12
= 37.81083333333333
≈38

500/38
= 13.15789473684211
≈14

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Step-by-step explanation:

Answer:

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Answers

Answer:

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Step-by-step explanation:

y=ax+b

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Answer:

It is y = -4/5x - 2 because you go left 4 and down 5 which makes both negative. And of course it is minus two.

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Maria needs to be at the airport terminal at 15:20. It will take

2 1/3






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Answer:

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Step-by-step explanation:

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Answer:

Y=40 X=75

Step-by-step explanation:

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The answer is:

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Answer:

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The product of two numbers is 1008 and their HCF is 12. The LCM of these numbers is (a) 75 (b) 78 (c) 84 (d) 96​

Answers

Answer:

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A. 14 ft
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sun that is shown with the help of lane

The image of a parabolic lens is projected onto a graph. The image crosses the x-axis at –2 and 3. The point (–1, 2) is also on the parabola. Which equation can be used to model the image of the lens?

y = (x – 2)(x + 3)
y = (x – 2)(x + 3)
y = (x + 2)(x – 3)
y = (x + 2)(x – 3)

Answers

Given:

The image of a lens crosses the x-axis at –2 and 3.

The point (–1, 2) is also on the parabola.

To find:

The equation that can be used to model the image of the lens.

Solution:

If the graph of polynomial intersect the x-axis at c, then (x-c) is a factor of the polynomial.

It is given that the image of a lens crosses the x-axis at –2 and 3. It means (x+2) and (x-3) are factors of the function.

So, the equation of the parabola is:

[tex]y=k(x+2)(x-3)[/tex]          ...(i)

Where, k is a constant.

It is given that the point (–1, 2) is also on the parabola. It means the equation of the parabola must be satisfy by the point (-1,2).

Putting [tex]x=-1, y=2[/tex] in (i), we get

[tex]2=k(-1+2)(-1-3)[/tex]

[tex]2=k(1)(-4)[/tex]

[tex]2=-4k[/tex]

Divide both sides by -4.

[tex]\dfrac{2}{-4}=k[/tex]

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Putting [tex]k=-\dfrac{1}{2}[/tex] in (i), we get

[tex]y=-\dfrac{1}{2}(x+2)(x-3)[/tex]

Therefore, the required equation of the parabola is [tex]y=-\dfrac{1}{2}(x+2)(x-3)[/tex].

Note: All options are incorrect.

Which table represents exponential growth?

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Step-by-step explanation:

the second is ur answer

x|y

1|2

2|4

3|8

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Answers

The scale factor is 1/3.

To find this scale factor, choose a set of sides to compare lengths. For example, taking the left sides of the triangles, which is 9 and 3. 9 is 3 times bigger than the triangle on the right, so that gives us the scale factor of 1/3.

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Answers

Answer:

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Answer:

The slope is -3, also written as -3/1.

Answer:

-3

Step-by-step explanation:

it is simply the (m) in y = mx + b

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Answer:

6.)

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7.)

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We can observe that there are no real outliers that would heavily influence the data and so we can just take the mean

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The mean of student B is: (74+73+73+74)/4=73.5

We can see that student A, on average, is closer to 70 than student B and can therefore conclude that student A is more percise

In one city, 24% of adult smoke. In groups of size 130 of adults , what is the variance of the number that smoke ?

Answers

Answer:

[tex]X=24[/tex]

Step-by-step explanation:

From the question we are told that:

Probability of  having a smoker [tex]P(s)=0.24[/tex]

Sample size [tex]n=130[/tex]

Generally the equation for Variance X is mathematically given by

 [tex]X= np(1-p) =[/tex]

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 [tex]X = 23.712[/tex]

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Joanne is playing a game with her friends. She is
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points. On her next turn she loses another 30
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Answers

Answer:

390 points

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Previous points = 420 pointsPoints she lost = 30 points

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Pat bought 6 shirts that were all the same price. He used a traveler's
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Answers

Answer:

Each shirt costs $18.50

Step-by-step explanation:

Questions such as these usually involve quite simple calculations, but they are important in being able to convert a scenario described in words into math calculations.

First, read the information carefully and then summarize what you are given in short sentences. Pat bought  6  shirts.  He paid using a check and cash.

The total amount paid was  $ 25  +  $ 86  =  $ 111

The shirts all cost the same price.

The cost of each shirt was:  111  ÷  6  =  $ 18.50

Answer:

Each shirt was 18.50

Step-by-step explanation:

The total cost of the 6 shirts was 25+86 = 111

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Answers

Answer:

They shared GHC16.2

Step-by-step explanation:

Here, we want to get the amount shared

Let us call the amount x

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I Need help with thistle...

Answers

Anthony was the one who read more.

Answer:

Anthony

Step-by-step explanation:

Mehod I - Common denominator

Use common denominator of 5 * 8 = 40

Cody

3/5  = 24/40

Anthony

5/8 = 25/40

-----------------------------

Method II - convert to decimal

Cody

3/5 = 0.6

Anthony

5/8 = 0.625

------------------------

Either way

Anthony read a greater fraction

2) Find the remainder when x3 + x2 - 20 is divided by
(x + 2) by using remainder theorem.
{ANS: R = -24}​

Answers

Answer:

Remainder = –24

Step-by-step explanation:

x³ + x² – 20 divide by x + 2

We can obtain the remainder when

x³ + x² – 20 is divided by x + 2 using the remainder theorem as follow:

We'll begin by calculating the value of x from x + 2. This is illustrated below:

x + 2 = 0

Collect like terms

x = 0 – 2

x = –2

Finally, we shall determine the remainder by substituting –2 for x in

x³ + x² – 20. This is illustrated below:

x³ + x² – 20

x = –2

Remainder = (–2)³ + (–2)² – 20

Remainder = –8 + 4 – 20

Remainder = –24

Therefore, the ramainder when

x³ + x² – 20 is divided by x + 2 is –24

Can someone please help me get surface area and lateral surface area

Answers

Answer:

Step-by-step explanation:

suface area of base=1/2×9×7.8=9×3.9=35.1 yd²

lateral surface area=3×1/2×9×10=135 yd²

total surface area=135+35.1=170.1 yd²

i assumed it is an equilateral triangular base.

as √(7.8²+4.5²)=9.0049≈9

PLS HELP! I WILL GIVE BRAINLIEST!! AND THE REST OF MY POINTS!

Last week the number of bacteria in a petri dish was 2.25×102. This week the number of bacteria in the petri dish is 2.75×105. How many times more bacteria are in the petri dish this week?

Round the decimal to the nearest tenth.

Answers

(2.75 x 10⁵ ) / (2.25 x 10² )

= (2.75 / 2.25) x 10⁵⁻²

= 1.2 x 10³ times .

(That's 1,200 times as many.)

I hope this helps!

Answer:

1221.2 times more

Step-by-step explanation:

number of bacteria last week = [tex]2.25*10^2[/tex]

= [tex]2.25*100[/tex]

= [tex]225[/tex]

number of bacteria this week = [tex]2.75*10^5[/tex]

= [tex]2.75*100000[/tex]

= [tex]275000[/tex]

[tex]275000 - 225 = 274775[/tex]

[tex]274775 / 225 = 1221.2[/tex]

Please help me, Please

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Answer:

7th graders in the school

Step-by-step explanation:

if she wants to know what 7th graders like, ask 7th graders since no one els would know as good as 7th graders themselves

Answer:

A.7th graders in the school

Step-by-step explanation:

Because she specifically wants to find the favorite activity of 7th grade students she should sample only 7th grade students to get the best and most accurate results.

The table below shows the typical hours worked by employees at a company. A salaried employee makes $67,000 per year. Hourly employees get paid $25 per hour, but get $37.50 per hour for each hour over 40 hours.

Answers

c) Salaried pay. Salaried employees make more per week than hourly employees.

Answer:

C. Salaried pay. Salaried employees make more per week than hourly employees.

Step-by-step explanation:

edge 2021

I don’t understand help

Answers

You can see that the MNO triangle is similar to MKL  then  [tex]\displsystyle\ \frac{NO}{KL} =\frac{x}{ML} => \frac{12}{22} =\frac{x}{27,5} => x=\frac{12\cdot 27,5}{22} =15[/tex]                                                                  [tex]\displaystyle\ Answer: \boxed{x=15}[/tex]

 

What is the cube root of 216x^9y^18 ?


A: 4x^3y^6
B: 6x^3y^6
C: 72x^6y^15
D: 213x^6y^15

Answers

[tex]4 {x}^{3} {y}^{6} [/tex]

OPTION A

Answer:

option B

Step-by-step explanation:

Cube root of x means  [tex]x^{\frac{1}{3}[/tex]

Formulas used :

[tex](a^x)^y = a^{xy}[/tex]

[tex](b^3)^{\frac{1}{3}} = b[/tex]

Therefore cube root of :

                   [tex](216 x^9 y^{18})^{\frac{1}{3}} = (6^3 \times (x^3)^3 \times (y^6)^3)^{\frac{1}{3}}[/tex]

                                     [tex]= (6^3)^{\frac{1}{3}} \times ((x^3)^3)^{\frac{1}{3}} \times ((y^6)^3)^{\frac{1}{3}}[/tex]

                                     [tex]= 6 \times x^3 \times y^6[/tex]

                                     [tex]=6x^3y^6[/tex]

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