The Cleveland City Cable Railway had a 14-foot-diameter pulley to drive the cable. In order to keep the cable cars moving at a linear velocity of 16 miles per hour, how fast would the pulley need to turn (in revolutions per minute)? (1 mi = 5,280 ft. Round your answer to the nearest tenth.)

Answer:

[tex]86.5=2l+2(2l-40.75)\\86.5=2l+4l-81.5\\6l=86.5+81.5\\6l=168\\l=28[/tex]

l=28

Answer:

21

Step-by-step explanation:

just took the test

Answer

I believe D or C

Step-by-step explanation:

A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair.

Answer:

10 cm

Step-by-step explanation:

the perpendicular from centre bisect the chord in equal halves. hence you can use pythagoras therom as

r^2 = 6^2 + 8^2

Answer:

The probability that an individual has this disease given that the test indicates its presence is 0.1

Step-by-step explanation:

Let A be the event which indicates Having disease

Let B be the event in which test indicates that disease presence

Now we are given that 10% of the individuals in this age group suffer from this form of arthritis

So, P(A)=0.1

We are also given that the proposed test was given to individuals with confirmed arthritics disease, and a correct test result was obtained in 85% of the cases.

P(B|A)=0.85

Now we are given that. When the test was administered to individuals of the same age group who were known to be free of the disease, 4% were reported to have the disease

So,P(B|A')=0.04

We are supposed to find  the probability that an individual has this disease given that the test indicates its presence i.e. P(A|B)

So we will use Bayes theorem

[tex]P(A|B)=\frac{P(B|A) P(A)}{\sum P(B|A) P(A)}[/tex]

[tex]P(A|B)=\frac{0.85 \times 0.1}{0.85 \times 0.1+0.85 \times 0.9}=0.1[/tex]

Hence the probability that an individual has this disease given that the test indicates its presence is 0.1

Answer:

Step-by-step explanation:

Ordered Pair1: (8,2)

2:(8*2,2*2)=(16,4)

3:(8*3,2*3)=(24,6)

4: (8*4,2*4)=(32,8)

5: (8*5,2*5)=(40,10)

Answer:

the answer is 64 because you need to multiply all of them together to get the cubic volume. first you multiply 8 x 4 and that leaves you with 32. 32 x 2 is 64 and there are no numbers left to that means 64 is the cubic volume.

Answer:

(-2, -3)

Step-by-step explanation:

To solve this problem, we use the midpoint formula.

M = [tex]\frac{x1 + x2}{2} , \frac{y1+ y2}{2}[/tex]

Plug your coordinates in:

M = [tex]\frac{-7 + 3}{2} , \frac{-8 + 2}{2}[/tex]

Simplify:

M = [tex]\frac{-4}{2} , \frac{-6}{2}[/tex]

M = (-2,-3)

Answer:

B.

Step-by-step explanation:

-6<x<6

Answer:

Figure of the function is included below as attachment.

Step-by-step explanation:

Let [tex]y = \cos x[/tex]As first step we have to find x intercepts, maxima and minima from 0 to 2π, which are needed to plot given function. Cosine is a trigonometric function bounded between -1 and 1 with a periodicity of 2π.

x-Intercepts

x-intercepts are those points of the function such that [tex]y = 0[/tex]. That is:

[tex]\cos x = 0[/tex]

In this case, there is a periodicity of π for [tex]y = 0[/tex]. The x-intercepts are in the following set:

[tex]S = \{\forall\,x\in\mathbb{R}|x=0.5\pi\pm\pi\cdot i,i\in\mathbb{N}_{O} \}[/tex]

Maxima

Maxima are those points of the function such that [tex]y = 1[/tex]. That is:

[tex]\cos x = 1[/tex]

In this case, there is a periodicity of 2π for [tex]y = 1[/tex]. Maxima are in the following set:

[tex]S = \{\forall\,x\in\mathbb{R}|x=0\pm2\pi\cdot i,i\in\mathbb{N}_{O} \}[/tex]

Minima

Minima are those points of the function such that [tex]y = -1[/tex]. That is:

[tex]\cos x = -1[/tex]

In this case, there is a periodicity of 2π for [tex]y = -1[/tex]. Minima are in the following set:

[tex]S = \{\forall\,x\in\mathbb{R}|x=\pi\pm2\pi\cdot i,i\in\mathbb{N}_{O} \}[/tex]

Lastly, we proceed to plot the function as well as its x-intercepts, maxima and minima with the help of a plotting tool.

Answer:

See Below

Step-by-step explanation:

We are given 3 equations.

3x + 8

5x - 20

and

5x + 4y

First lets solve for x using the first two

3x + 8 = 5x -20

Move the variables to one side

3x + 8 = 5x -20

-3x        -3x

8 = 2x -20

+20     +20

28 =2x

28/2 =2x /2

14 = x

Now we have x = 14

Lets plug this into the second equation to solve for the angle

3(14) + 8

42 + 8 = 50

5(14) - 20

70 - 20 =50

Now, lets plug the x and the angle into the third equation to find y

5 (14) +4y = 50

70 + 4y = 50

-70           -70

4y = -20

4y/4 = -20/4

y = -5

So now we have:

x = 14

y = -5

and the angle = 50

Hope this helps!

Answer:

7in. in length and 6in. in width.

Step-by-step explanation:

Divide the number of feet by 3.

Answer:

[tex]x\geq-1.\overline{756}[/tex]

Step-by-step explanation:

[tex]1 2 (8x -4) -23 (9x + 6)\leq 9\\\\96x-48-207x-138\leq9\\\\(96-207)x+(-48-138)\leq9\\\\-111x-186\leq9\\\\-111x\leq9+186\\\\-111x\leq195\\\\111x\geq-195\\\\x\geq\frac{-195}{111}\\\\x\geq-\frac{65}{37}\\\\x\geq-1.\overline{756}[/tex]

Answer:

The probability that exactly 2 don't grow is 0.075 or 7.5%

Step-by-step explanation:

Binomial Distribution

Let's consider a random experience with only two possible outcomes. Call p to the probability that the event has a successful outcome and q to the unsuccessful outcome.

It's clear that p+q=1, or q=1-p.

Now repeat the random experience n times. We want to calculate the probability of getting x successful outcomes. This can be done with the following formula:

[tex]\displaystyle P_{x} = {n \choose x} p^{x} q^{n-x}[/tex]

Where  

[tex]\displaystyle {n \choose x}[/tex]

Is the number of combinations:

[tex]\displaystyle {n \choose x} =_nC_x=\frac{n !}{x ! (n-x) !}[/tex]

For the problem to solve, each seed has a p=0.95 probability of growing into a healthy plant. The value of q=1-0.95=0.05.

The experience is repeated n=10 times and we want to estimate the probability that 2 of them don't grow. Note this last data is not directly the value of x because it's not related to success but with no success. The value of x is x=10-2=8. That means, 8 out of 10 seeds grow.

Apply the formula:

[tex]\displaystyle P_{8} = {10 \choose 8} \cdot 0.95^{8} \cdot 0.05^{10-8}[/tex]

[tex]\displaystyle P_{8} = 45\cdot 0.95^{8} 0.05^{2}[/tex]

[tex]\displaystyle P_{8} = 0.075[/tex]

The probability that exactly 2 don't grow is 0.075 or 7.5%

Answer: what answer???

Step-by-step explanation: there's no equation

Answer:

6p

Step-by-step explanation:

Answer: 6p

Explanation: The word "product" is a

keyword that tells us to use multiplication.

So your answer can be written as 6 · p or just 6p.

Don't write your answer as p6.

Even though it's technically correct, I would always put

the number before the variable as a matter of form.

Answer:

so basically you want a drawing identical to that just with different colours?

Answer: -2/3

Step-by-step explanation:

y2 - y1/ x2 - x1

6-0/-5-5

-6/9

-2/3

Answer:

y=-2/3x+10 1/3

Step-by-step explanation:

y=mx+b (m = slope)

(Equation) y2-y1/x2-x1

= 6-0/-5-4

= -6/9

= -2/3

y-y1 = m(x-x1)

y-6 = -2/3 +5

y-6 = 4 1/3

y = 10 1/3

Answer:

The value of x is 63° ⇒ B

Step-by-step explanation:

The rule for finding the sum of the interior angles of a polygon with n sides is S = (n - 2) × 180°

In the given figure

There is a polygon with 5 sides

∵ n = 5

∴ S = (5 - 2) × 180°

∴ S = 3 × 180°

∴ S = 540°

→ We have the measure of 4 angles of them    

∵ The sum of the 4 given angles =  119° + 100° + 88° + 116°

∴ The sum of the 4 given angles = 423°

→ To find the 5th angle subtract 423° from 540°

∵ The measure of the fifth angle = 540° - 423°

∴ The measure of the fifth angle = 117°

→ x and 117° are linear pair angles, then their sum is 180°

∵ x + 117° = 180° ⇒ linear pair angles

→ Subtract 117 from both sides to find x

∴ x + 117 - 117 = 180 - 117

∴ x = 63°

Answer:

y=x-10

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

To add fractions, they must have common denominators

convert them to common denominators

4/7 × 4/4 = 16/28

now their denominators are the same

16/28 + 5/28

add the numerators

16 + 5 = 21

21/28

Both the numerator and the denominator can be divided by 7

3/4 is the simplest form

Answer:

Little late but its 10

Step-by-step explanation:

Answer:

3 weeks Late my bad, but why let the question go to waste, the answer is 10

Answer:

It has a steady line the entire way

Step-by-step explanation:

Answer:

1.1102 * 10^4

Step-by-step explanation:

11102

= 1.1102 * 10^4

Answer:

14

Step-by-step explanation:

The base two number one one one zero is equal to one times eight, plus one times four, plus one times two, plus zero times one, which simplifies to fourteen.

Answer:

This is how you simplify them

Step-by-step explanation:

1) 1/90

2) 1/2

3) 7/20

Answer: true false some true

Step-by-step explanation:

Answer:

350

Step-by-step explanation:

pretty easy just dived

You pay $350 to Grandma.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Grandma  pays upfront for you to go on an overnight trip with the school, which costs $340.

And, You make a deal that you’ll give her $25 per month until you pay it all back.

Now,

Let the number of months to pay Granma = x

Then, we can formulate;

$25x = $340

x = 13.6

After rounding,

x = 14

So, We pay 14 months to grandma;

Hence, The cost to pay grandma in 14 months = 14 x $25

                                                                        = $350

Therefore, You pay $350 to Grandma.

Learn more about the multiplication visit:

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Answer: The answer is B, 23,483

Step-by-step explanation:

If you multiply 23,000 times 1.021 you get 23,483. Your welcome

The Lily's estimate population in 8 years is 187864.

It is required to find the population in 8 years.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

The function f(x)= 23,000(1.021) X( power) to model the future annual population growth of the city.

According to given question we have,

To put x= 8 years

Lily's estimate population in 8 years are

f(x)= 23,000*(1.021) *8

f(x)= 187864

Therefore, the Lily's estimate population in 8 years is 187864.

Learn more about arithmetic here:

brainly.com/question/18607048

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