A biker cycles 9 miles in 2 3 of an hour. b The distance here varies directly with time. What is the constant of variation? (It is the hikers’ rate .)

Answer:

x - 9

Step-by-step explanation:

That should be it, and let me know if I'm wrong. x is by itself and if you were to add 3 and 6 you'd get 9. So x - 9

Answer:

y = 3x + 1

Step-by-step explanation:

Parallel lines have the same slope:

Given  ax + by = c  the slope is m = -a/b

**********************************

3x - y = 5

x-intercept is where y = 0

3x = 5

x = 5/3

x-intercept at (5/3, 0)

y-intercept is where x=0

-y = 5

y = -5

y-intercept at (0, -5)

To graph this line just plot the two points and draw the connecting line.

If not comfortable plotting (5/3, 0) just plug in a different value for x

and find the corresponding y value...

If x=1 then  3-y=5 ..., -y = 2 ... y = -2 ...

The point (1, -2) is on the line

**************************************

3x – y = 5  ..  m = -3/(-1) = 3

The parallel line will also have slope m = 3

You need equation of the line with slope 3 through (2,7)

Point slope form:  y - y1 = m(x-x1)

y - 7 = 3(x-2)

y - 7 = 3x - 6

y = 3x + 1

As above, to find x-intercept set y=0 and solve for x

To find y-intercept set x=0 and solve for y

Then just plot the two points and draw the second line

Answer:

y < 3

Step-by-step explanation:

Answer:

y=3 i believe

cant see answers

The length of the arc is 8π cm (option B)

Arc length is the distance between two points along a section of a curve.

An arc is a part from the circumference of a circle. The area formed by the arc and two radii is called a sector.

The length of an arc is expressed as :

l = (tetha)/360 × 2πr

tetha = 240°

l = 240/360 × 2 × π × 6

l = 240 × 12π/360

l = 2880π/360

l = 8π cm

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Answer: 19

Step-by-step explanation: j trust me

As per the number of gym machines, the type of data is b. quantitative discrete data.

A discrete quantitative variable has a distinct quantitative meaning but can only take particular integer values rather than any value within a period. The number of needle sticks, the number of births, and the number of hospitalisations are a few examples of discrete numeric factors.

Similarly to that, the information given in the question refers to the quantity of gym equipment, which qualifies as quantitative data because it is a numerical assessment. Furthermore, rather than representing a continuous range of values, the data is discrete, which means that it reflects a limited collection of whole integers such as 10, 12, 15, 20, and 22. These numbers are the total number of gym machines that are available.

Complete Question:

the data are the number of machines in a gym. you sample five gyms. one gym has 12 machines, one gym has 15 machines, one gym has ten machines, one gym has 22 machines, and the other gym has 20 machines. what type of data is this?

a. Qualitative data

b. Quantitative discrete data

c. Discreet data

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The initial amount and rate of interest will be $150 and 10%. Then the amount at n = 4 will be $219.62.

A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.

We know that the compound interest is given as

A = P(1 + r)ⁿ

Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.

The rate of interest is given as,

r = [(181.50 - 165) / 165] x 100

r = (16.5 / 165) x 100

r = 0.10 x 100

r = 10%

Then the equation is given as,

A = P(1 + 0.10)ⁿ

A = P(1.10)ⁿ

At n = 1, the amount is $165. Then we have

$165 = P x (1.10)

P = $150

A = $150 (1.10)ⁿ

At n = 4, the amount is given as,

A = $150 (1.10)⁴

A = $219.62

The initial amount and rate of interest will be $150 and 10%. Then the amount at n = 4 will be $219.62.

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Answer:

i think its C

Step-by-step explanation:

hope this helped:)

Answer:

1=27

2=34

Step-by-step explanation:

1)9y power 2÷3

or, y=9 power 2÷3

or, y=9×9÷3

or, y=81÷3

or, y=27

2) (8x power 2+4x)÷2

=(8x×8+4x)÷2

=(64x+4x)÷2

=68x÷2

or, x=68÷2

or, x=34

hope this helped buddy

Peace

Therefore, there are 8820 groups of 9 that contain 5 women and 4 men using combination formula.

To solve part (b)(i), we need to use the combination formula. The number of ways to choose 5 women out of 9 is given by the combination C(9,5), which is:

C(9,5) = 9! / (5! * 4!)

= 126

Similarly, the number of ways to choose 4 men out of 8 is given by the combination C(8,4), which is:

C(8,4) = 8! / (4! * 4!)

= 70

To get the total number of groups of 9 that contain 5 women and 4 men, we need to multiply these two numbers:

126 * 70 = 8820

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Answer:

a = 7

Step-by-step explanation:

» Solution

Step 1: Add 2 to both sides.

Step 2: Divide both sides by -3.

Therefore, a = 7.

The percentage decrease is the change with respect to the original thus the percentage decrease of Juanita will be 20%.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths.

As per the given,

The original number of tickets = 45

Number of tickets left = 36

Percentage decrease = (45 - 36)/45 x 100

⇒ 20%

Hence "Juanita will experience a 20% percentage decline, where percentage refers to the change from the original".

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The probability to answer 5 questions correctly from 14 true or false questions is 0.1222

The given situation represents a binomial experiment, where there are only two possible outcomes for each trial: success (answering correctly) and failure (answering incorrectly). To find the probability of a particular number of successes, we use the binomial probability formula:

P(x)= nCx × p^x × q^(n-x)

Where, n is the total number of trials, p is the probability of success on each trial, q is the probability of failure on each trial (1-p), and x is the number of successes desired.

n = 14 (total number of questions)

p = 1/2 (probability of answering correctly when guessing randomly), and q = 1/2 (probability of answering incorrectly when guessing randomly).

To find P(5), we substitute these values in the formula

P(5) = 14C5 * (1/2)^5 * (1/2)^9= 2002 * (1/32) * (1/512)= 2002 / 16384≈ 0.1222

Therefore, the answer is option D, 0.1222.

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Answer:

p≤19-2

p≤17

Step-by-step explanation:

this is the maening of equaliry

Answer:

m = 9/4 and b = -12

Step-by-step explanation:

the slope is always given by the number in front of x (the number is called a coefficient and x is called a variable).

the y-intercept is the number without an x or a y. that is -12.

so, m = 9/4 and b = -12

Answer:

9 is a coefficient

Step-by-step explanation:

9x-11.9

A coefficient is the number in front of the variable

9 is a coefficient and -11.9 is a constant

Step-by-step explanation:

When we multiply or divide both sides of an inequality by a negative number, what happens to the inequality symbol?

Answer:

The sign flips.

≤ becomes ≥

and ≥ becomes ≤

The period of the pendulum is the time for one complete cycle of the pendulum of a right swing and a left swing. The value of the length of the pendulum is 2 feet.

Given information-

The period of the pendulum is given as,

\(T = 2\pi \sqrt\frac{L}{32}\)

Here L  is the length of the pendulum is feet.

The value of the pi is 3.14.

The period of the pendulum is 1.57 seconds.

Period of the pendulum

The period of the pendulum is the time for one complete cycle of the pendulum of a right swing and a left swing.

The given period of the pendulum is,

\(T = 2\pi \sqrt\frac{L}{32}\)

Put the values,

1.57 = 2 × 3.14 √L/32

1.57 = 6.28 × √1/32 × √L

1.57 = 6.28 × 0.1768 × √L

Solve the equation for L,

√L = 1.57 / 1.11

√L = 1.414

L = 1.414²

L = 2

Thus the value of the length of the pendulum is 2 feet.

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Answer:

3:a 4:b

Step-by-step explanation:

if 5^2 x 5^4 you add the exponents so then it would be 5^6

Answer:

A

Step-by-step explanation:

reminder that y = f(x)

Locate y = 1 on the y- axis, then go horizontally across to meet the line at (- 2, 1 )

Thus when f(x) = 1 , x = - 2

Answer:

p = 6

Step-by-step explanation:

(a) The distance of P from O when it is instantaneously at rest is 40 metres. (b) The values of t are 5 and 1 second. (c) The average velocity = 2/2 = 1 m/s. (d) The total distance travelled in the first 6 seconds is -234 meters.

Velocity is defined as the displacement of the object in a given amount of time and is referred to as velocity.

a) To find the distance of P from O when it is instantaneously at rest, we need to find the value of s when t = 0.

s = t³ - 9t² + 15t + 40

s = 0 - 9(0)² + 15(0) + 40

s = 40

So the distance of P from O when it is instantaneously at rest is 40 metres.

b) To find the values of t when the acceleration has a magnitude of 9 ms, we need to find the roots of equation 3t² - 18t + 15 = 0.

We can solve this equation by factoring or using the quadratic formula.

3t² - 18t + 15 = 0

(t-5)(t-1) = 0

t = 5, 1

So the values of t are 5 and 1 seconds.

c) To find the average velocity of P during the first 2 seconds, we can use the formula for average velocity:

average velocity = (distance travelled)/(time taken)

We can find the distance travelled by finding the value of s at t = 2 and t = 0 and subtracting them.

s = t³ - 9t² + 15t + 40

s(2) = 8 - 36 + 30 + 40 = 42

s(0) = 0 - 9(0)² + 15(0) + 40 = 40

distance = 42 - 40 = 2 metres

time = 2 - 0 = 2 seconds

average velocity = 2/2 = 1 m/s

d) To find the total distance travelled in the first 6 seconds, we can find the value of s at t = 6 and t = 0 and subtract them.

s = t³ - 9t² + 15t + 40

s(6) = 216 - 540 + 90 + 40 = -194

s(0) = 0 - 9(0)^2 + 15(0) + 40 = 40

distance = -194 - 40 = -234 metres

So the total distance travelled in the first 6 seconds is -234 meters.

Note that distance travelled is negative, which means that the particle is moving in the opposite direction of O.

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Answer:

Should be : The Ball Pushing On The Person

Step-by-step explanation:

while the Air resistance answers have a point this question is asking about the reaction and the only reaction answer is the ball pushing on the person. every action has a reaction,

The ball wants to stay still so it pushes back on the person with all it's force, but the person pushes the ball with more force then the ball has so the ball rolls.

(may have explained it to much or weirdly sorry)

The interval of increase for the function f(x) = ex x8 is (0, ∞).

To determine the intervals of increase or decrease for the given function, we need to analyze the sign of the derivative.

Let's find the derivative of f(x) with respect to x:

f'(x) = (ex x8)' = ex x8 (8x7 + ex)

To determine the intervals of increase, we need to find where the derivative is positive (greater than zero).

Setting f'(x) > 0, we have:

ex x8 (8x7 + ex) > 0

The exponential term ex is always positive, so we can ignore it for determining the sign. Therefore, we have:

8x7 + ex > 0

Now, we solve for x:

8x7 > 0

Since 8 is positive, we can divide both sides by 8 without changing the inequality:

x7 > 0

The inequality x7 > 0 holds true for all positive values of x. Therefore, the interval of increase for the function is (0, ∞), which means the function increases for all positive values of x.

The function f(x) = ex x8 increases in the interval (0, ∞).

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The maximum earning is v(r,b)

Let v(r,b) be the expected value of the game for the player, assuming optimal play, if the remaining deck has r red cards and b black cards.

Then v(r,b) satisfies the recursion

and

The stopping rule is simple: Stop when v(r,b)=0.

To explain the recursion . . .

If r,b>0, and the player elects to play a card, then:

Thus, if r,b>0, electing to play a card yields the value f(r,b).

But the player always has the option to quit, hence, if r,b>0, we get v(r,b)=max(0,f(r,b)).

Implementing the recursion in Maple, the value of the game is

v(26,26)=41984711742427/15997372030584

v(26,26)  ≈2.624475549

and the optimal stopping strategy is as follows . . .

So, The maximum earning is v(r,b)

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Answer:

a) 6 × (-3) = – 18

b) (-5) × 4 = – 20

c) (-9) × (-2) = 18

Step-by-step explanation:

** Note;

\(( - ) \times ( - ) = ( + ) \\ ( + ) \times ( - ) = ( - )\\ ( - )\times ( + ) = ( - ) \\( + ) \times ( + ) = ( + )\)

I hope I helped you^_^