In the broken wagon wheel CD=48 OY, the perpendicular bisector of CD=7. what is the diameter of the wagon wheel

Answers

Answer 1

Answer: The diameter would be 2r or 50 since units were not provided I would assume 50 in.

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What's the answer too x+7/7x+35*x^2-3x-40/x-8

Answers

$(x+7)/(7x+35)\cdot(x^2-3x-40)/(x-8)=(*)\n\nx^2-3x-40=0\na=1;\ b=-3;\ c=-40\n\Delta=b^2-4ac;\ x_1=(-b-\sqrt\Delta)/(2a);\ x_2=(-b+\sqrt\Delta)/(2a)\n\n\Delta=(-3)^2-4\cdot1\cdot(-40)=9+160=169;\ \sqrt\Delta=√(169)=13\n\nx_1=(3-13)/(2\cdot1)=(-10)/(2)=-5;\ x_2=(3+13)/(2\cdot1)=(16)/(2)=8\n\nx^2-3x-40=(x+5)(x-8)\n\n(*)=(x+7)/(7(x+5))\cdot((x+5)(x-8))/(x-8)=(x+7)/(7)=(x)/(7)+(7)/(7)=(1)/(7)x+1\n\nD:x\neq-5\ \wedge\ x\neq8$

Jen ran 9 miles in 117 minutes , if her speed remained the same throughout the run , what was her pace?

Answers

Jen's pace is approximately 13 minutes per mile.

To calculate Jen's pace, we need to determine the time it took her to run 1 mile.

Jen ran 9 miles in 117 minutes, so we divide the total time by the number of miles:

Pace = Total time / Number of miles

Pace = 117 minutes / 9 miles

To simplify the pace, we can convert 117 minutes into hours by dividing it by 60:

Pace = (117 minutes / 60) hours / 9 miles

Pace ≈ 1.95 hours / 9 miles

Now, to find the pace in minutes per mile, we can convert 1.95 hours to minutes by multiplying it by 60:

Pace ≈ (1.95 hours × 60) minutes / 9 miles

Pace ≈ 117 minutes / 9 miles

Therefore, Jen's pace is approximately 13 minutes per mile.

Learn more about time here

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117 ÷ 9 = 13

Hope this helps!

Let the numbers m, n, p, and s be defined as: m = 0.1212121212... n = 0.1221221221... p = 0.1122112211... s = 0.1112221112... Which choice shows the correct ordering of these numbers?A) m < n < p < s
B) s < p < m < n
C) n < m < s < p
D) p < s < n < m
E) s < p < n < m

Answers

Short Answer: B
Comment
The < symbol means that the number on the left is smaller than the number on the right. When I was first stumbling through < or > the point goes to the smallest number and the open end goes to the most generous (largest) number.

So in this question, the smallest number is on your left, and the largest number is on your right.

Working it out
Method One
But which number is smallest and which way is biggest? You can get your calculator to tell you the answer. You can subtract one number from the other. Like m and p. Try m - p.
If you get a plus answer m>p
If you get a minus answer m<p
m = 0.12 p = 0.11
m - p = 0.12 - 0.11 = 0.01 and it is positive.
Conclusion m>p
Conclusion 2: A and C are both wrong.

Method Two
You can just scan the numbers with your eye and pick out the biggest one.
Start with m.
It is 0.12 Is there anything bigger?
n is but you have to go to the third decimal place. n = 0.122 m = 0.121 n is bigger than m (and of course p).

So what does that do? Anything?
Yes it picks out the answer. B. Nothing is bigger than n so it should be on the far right. Only B shows that.

A car is moving at a rate of 28 miles per hour and the diameter of its wheels is about 2 1/3 feet. Find the angular speed of the wheel in radians per minute.

Answers

The diameter of the wheel is 2 1/3 ft. So d = 2 + 1/3
Circumference
C = pi*d
C = 3.14*(2 + 1/3)
C = 7.326667

The circumference is roughly 7.32666 feet.
-------------------------------------------------------

Convert 7.32666 feet to miles

(7.32666 feet)*(1 mile/5280 feet) = 7.32666/5280 = 0.001387625 miles

7.32666 feet = 0.001387625 miles (approximate)

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

(28 miles/1 hour)*(1 revolution/0.001387625 miles) = 28/0.001387625 = 20,178.3623097019 revolutions per hour

Now convert from "revolutions per hour" to "revolutions per minute"

(20,178.3623097019 rev/1 hour)*(1 hour/60 minutes) = 20,178.3623097019/60 = 336.306038495031

The final answer for part A) is 336.306038495031 revolutions per minute (this is approximate).

336.306038495031 rev/1 minute)*(2pi radians/1 rev) = 336.306038495031*2pi = 336.306038495031*2*3.14 = 2,112.0019217488

So the angular speed is roughly 2,112.0019217488 radians per minute

Y=x+5
y=-2x-4
solve by substitution

Answers

Answer:

x = − 3

Step-by-step explanation:

Let's solve your equation step-by-step.

− 2x − 4 = x + 5

Step 1: Subtract x from both sides.

− 2x − 4 − x = x + 5 − x

− 3x − 4 = 5

Step 2: Add 4 to both sides.

− 3x − 4 + 4 = 5 + 4

−3x = 9

Step 3: Divide both sides by -3.

−3x / −3 = 9 / −3

x = − 3

Hope it helps,

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Thank you

Suppose a normal distribution has a mean of 222 and a standard deviation of 16. What is the probability that a data value is between 174 and 238? Round your answer to the nearest tenth of a percent.A. 66.9%
B. 53.3%
C. 84.0%
D. 91.0%

Answers

P(174 < x < 238) = P(x < 238) - P(x < 174) = P[z < (238 - 222)/16] - P[z < (174 - 222)/16] = P(z < 1) - P(z < -3) = 0.84134 - 0.00135 = 0.83999 or 83.999%

Answer: 84.0% to the nearest tenth.

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