289 is the same as r divided by 100. As an equation

Answer: The speed of the larger pulley is 242 rpm.

Step-by-step explanation: We can use the fact that for a belt and pulley system, the linear velocity of the belt is constant. This means that the product of the radius and the angular velocity of each pulley must be the same.

Let's call the angular velocity of the 4-inch pulley "w". Then we have:

4w = 1452

Solving for w, we get:

w = 1452/4 = 363 revolutions per minute (rpm)

Now let's use the fact that the product of the radius and angular velocity is constant to find the angular velocity of the larger pulley. We have:

4w = 6x

where "x" is the angular velocity of the larger pulley. Solving for "x", we get:

x = (4/6)w = (2/3)w

Substituting the value of "w" that we found earlier, we get:

x = (2/3)363 = 242 revolutions per minute (rpm)

Therefore, the speed of the larger pulley is 242 rpm.

Answer:

I can explain.  The answer is A

Step-by-step explanation:

Think of it this way: when you write a mixed number, the fraction is out of 100.    If the denominator is 8, find 1/8 of 100 by doing 100 divided by 1/8.  This gives you 12.5.  The entire fraction is 2/8, so we need to multiply 12.5 by 2, since it's only 1/8.  12.5 x 2 gives us 25.  In the decimal, this would be equal to .25.  A is the only answer that represents the mixed number as a decimal correctly.

Answer:

y=-1/3x

Step-by-step explanation:

if it’s going down by one there should be one on top on since it’s going over by 3 it should be 3 on the bottom

The car must achieve an acceleration of 120 mi/hr^2 during the 10-minute interval according to the Mean Value Theorem. To find the acceleration of the car, we can use the Mean Value Theorem, which states that there must be a point in time between 2:00pm and 2:10pm where the instantaneous velocity of the car is equal to the average velocity over that time period.

The average velocity of the car over this time period is: Average velocity = (change in distance) / (change in time)
Average velocity = (70 - 50) / 10 minutes = 2 mi/min
To convert mi/min to mi/hr, we multiply by 60:
Average velocity = 2 mi/min * 60 min/hr = 120 mi/hr
So, there must be a point in time where the instantaneous velocity of the car is equal to 120 mi/hr. Now, we can use the formula for acceleration: Acceleration = (change in velocity) / (change in time)
We know the change in velocity is 70 - 50 = 20 mi/hr, and the change in time is 10 minutes, or 1/6 hour.
Acceleration = (20 mi/hr) / (1/6 hour) = 120 mi/hr^2
Therefore, the acceleration the car must achieve is 120 mi/hr^2.

Using the Mean Value Theorem and the formula for acceleration, we found that the car must achieve an acceleration of 120 mi/hr^2 between 2:00pm and 2:10pm.
Answer: Using the Mean Value Theorem, we can determine the acceleration the car must achieve between 2:00 pm and 2:10 pm. In the given scenario, the car's speed changes from 50 mph to 70 mph over a 10-minute time interval. To apply the Mean Value Theorem, first, we need to convert the time interval to hours. Ten minutes is equal to 1/6 of an hour (10/60). Now, we can find the average rate of change in speed (also known as acceleration) by dividing the change in speed by the change in time. The change in speed is 70 mph - 50 mph = 20 mph. The change in time is 1/6 of an hour. Therefore, the acceleration is: Acceleration = (Change in Speed) / (Change in Time) = 20 mph / (1/6 hr) = 120 mi/hr^2.

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(a) Using the given data, we can verify the calculations as follows: ∑x = 245, ∑x^2 = 14,755, ∑y = 224.

(b) To compute the sample mean, variance, and standard deviation for the percentage success of mallard duck nests (x), we use the formulas:

Sample Mean (x) = ∑x / n

Variance (s^2) = (∑x^2 - (n * x^2)) / (n - 1)

Standard Deviation (s) = √(s^2)

(c) Applying the formulas, we can compute the sample mean, variance, and standard deviation for x as follows:

Sample Mean (x) = 245 / 5 = 49

Variance (s^2) = (14,755 - (5 * 49^2)) / (5 - 1) = 4,285

Standard Deviation (s) = √(4,285) ≈ 65.5

Similarly, for the percentage success of Canada goose nests (y), the calculations can be done using the same formulas and the given values from part (a).

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The solution to the equation cos(x + 2π/3) = √2/2 over the interval

(0, 2π) is [7π/12, 3π/4]

A periodic function has a range that is determined for a fixed interval and a domain that includes all real number values.

Any function that has a positive real integer p such that f (x + p) = f (x), with all x being real values, is said to be periodic.

The given function is cos(x + 2π/3) = √2/2 over the interval (0, 2π).

(x + 2π/3) = cos⁻1(√2/2).

x + 2π/3 = π/4  or 21π/12   (As cos is +ve on I and IV)

Now,

x + 2π/3 = π/4.

x = π/4 - 2π/3.

x = (3π - 8π)/12.

x = - 5π/12.

x = π - 5π/12.

x = (12π - 5π)/12.

x = 7π/12.

And,

x + 2π/3 = 21π/12.

x = 21π/12 - 2π/2.

x = (21π - 12π)/12.

x = 9π/12.

x = 3π/4.

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Answer:

-11

Step-by-step explanation:

You need to find the difference in y-coordinates and divide that difference into a 7:3 ratio. Then you add that to the y-coordinate of point J.

Difference in y:

-20 - 10 = -30

7 + 3 = 10

7/10 * (-30) = -21

Add -21 to 10:

10 + (-21) = -11

The y-coordinate is -11.

Answer:

90

Step-by-step explanation:

Formula is:

2(wl + hl +wh)

plug in values and calculate

Answer:

y=-\(\frac{1}{2}\)x+1

Step-by-step explanation:

So the first number after the y= is the slope which is - 1/2 then you add an X after that. Then you add the y-intercept point which on this graph is 1.

The scale of the shopping center drawing is 1 : 72.

The drawing scale is the ratio of drawing size to actual size. To determine the scale of the drawing, we need to know about the formula first which is given by :

scale = drawing size : actual size

From the question above we know :

drawing size = 7 inches

actual size = 42 feet

Before substituting the parameter, we need to change the unit of size to inches.

actual size = 42 feet = 504 inches

Substitute the parameter

scale = drawing size : actual size

scale = 7 : 504

scale = 1 : 72

Hence, the scale of the shopping center drawing is 1 : 72.

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Jane should land 1.5 mi down the shoreline and walk the remaining 4.5 mi to the village to minimize her travel time.

Let x = distance travelled along the shore over water.

Then, 6 − x = distance travelled along the shore over land.

Let T = the total time taken to reach the destination.

T = distance/velocity = √(4 + x²)/3 + (6-x)/5 on [0, 6].

Note that T must be non negative and that x = 6 means the destination

is reached solely by rowing and without the benefit of faster land

travel. In actual fact, T is valid over [0, ∞) but [0, 6] is reasonable here.

T' = x/3√(4 + x²) - 1/5 = 5x - 3√(4 + x²) = 0

⇒5x = 3√(4 + x²)

⇒25x² = 9(4 + x²)

⇒16x² = 36

⇒x = ±6/4 = ±1.5

The negative x value is discarded since it does not belong to [0,6].

T(0) = 28/15 = 1.8667

T(1.5) = 1.733

T(6) = 2.1082

Therefore, Jane should land 1.5 mi down the shoreline and walk the

remaining 4.5 mi to the village to minimize her travel time.

Her minimum travel time will be T(1.5) = 1.733 hrs. or 1hr 44 min.

--The given question is incomplete, the correct question is

"Jane is 2 mi, offshore in a boat and wishes to reach a coastal village 6 mi, down a straight shoreline from the point nearest the boat. She can row at 3mph and can walk at 5 mph. Where should she land her boat to reach the village in the least amount of time?"--

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Answer:

y-int = (0,-3)

slope = 2

Step-by-step explanation:

The slope is found by the number before x. If its just x then the slope is 1. The y-int is found by the number all the way at the end. In this case its -3. So the y-int is (0,-3)

Answer:

Step-by-step explanation:

y

=

2

x

+

3

The slope-intercept form is

y

=

m

x

+

b

, where

m

is the slope and

b

is the y-intercept.

y

=

m

x

+

b

Find the values of

m

and

b

using the form

y

=

m

x

+

b

.

m

=

2

b

=

3

The slope of the line is the value of

m

, and the y-intercept is the value of

b

.

Slope:

2

y-intercept:

(

0

,

3

)

Answer:

2 yards.

Step-by-step explanation:

If you do what was stated in the problem, you would be left at -2. So, you would need to move up 2 yards to get back to 0.

Answer:

He must move two yards to get back to zero.

Step-by-step explanation:

He started at 0.

Moved forward 5 on the number line which puts him at 5

Then he moved back 7 which puts him at -2 on the number line

So from -2 on the number line he has to move 2 spaces to the right to get back to 0.

Hope this helps!! And good luck!

The relationship between the amounts loaned from each bank be, x + y = 9000

and the relationship between the interests earned for the first year be, 3x + 8y = 60000

Given, John is taking out student loans from two banks.

The first bank offers 3% apr compounded annually.

The second bank offers 8% apr compounded annually.

John took out a combined total of $9000 in loans and the total interest for the first year was $600.

Let x represent the amount of money loaned at 3%. let y represent the amount loaned at 8%. a.

(i) amount from first bank be, x

and the amount from second bank be, y

so, x + y = 9000

(ii) interest for the first year from first bank is,

3x/100

and the interest for the first year from second bank is,

8y/100

so, 3x/100 + 8y/100 = 600

3x + 8y = 60000

Hence, the relationship between the amounts loaned from each bank be, x + y = 9000

and the relationship between the interests earned for the first year be, 3x + 8y = 60000

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Answer:

Temperature at midnight is \(-15.9\) °F.

Step-by-step explanation:

Given: The temperature at noon was \(43.6\) °F. By midnight, the temperature has decreased by \(15.3\) degrees.

To find: The temperature at midnight.

Solution:

The temperature at noon was \(43.6\) °F.

Now, by midnight, temperature has decreased by \(15.3\) degrees.

So, first we need to convert the temperature in °F.

We know that, \(F=\frac{9}{5}C+32\), where F is temperature in Fahrenheit and C is temperature in Celsius.

So, \(F=(\frac{9}{5} \times 15.3)+32\)  

\(\implies F=59.5\)

So, by midnight, temperature has decreased \(59.5\) °F

Therefore, temperature at midnight is \(43.6-59.5=-15.9\) °F

Hence, temperature at midnight is  \(-15.9\) °F.

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

According to me , independent is the word which is associated with multiplication when computing probabilities . Because when the events are independent then we multiply the probabilities .

According to the multiplication rule of probability, the probability of occurrence of both the events A and B is equal to the product of the probability of B occurring and the conditional probability that event A occurring given that event B occurs.

The probability of the union of two events is equal to the sum of individual probabilities. The union of two set contains all the elements of previous sets. The union is denoted by ∪. The equation for the students earnings will be expressed as P(A∪B). The occurrence of event A changes the probability of B then the events are dependent. If the probability of two events happening together is zero then the events are mutually exclusive.

Therefore,

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

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The area of the region enclosed by the curve r = 9cos(3θ) is (27/2)π.

What is integration?

In mathematics, and notably in calculus, integration is a fundamental notion. It is a mathematical process that seeks to determine a function's integral. The accumulation or total of all infinitesimally small changes in a quantity is represented by the integral.

To find the area of the region enclosed by the curve r = 9cos(3θ), we can set up a double integral in polar coordinates.

In polar coordinates, the area element is given by dA = r dr dθ. To determine the limits of integration, we need to find the values of θ where the curve intersects itself and encloses a region.

The polar curve r = 9cos(3θ) completes one loop for every 2π/3 radians, so we can integrate over the range 0 ≤ θ ≤ 2π/3. The corresponding limits for r can be determined by setting r = 0 and solving for θ.

At r = 0, we have:

0 = 9cos(3θ)

cos(3θ) = 0

The equation cos(3θ) = 0 has solutions at θ = π/6, π/2, 5π/6. These values divide the interval [0, 2π/3] into three subintervals.

Now we can set up the double integral:

Area = ∬R dA

Using polar coordinates, we have:

dA = r dr dθ

The limits of integration are:

0 ≤ r ≤ 9cos(3θ)

0 ≤ θ ≤ 2π/3

Thus, the double integral becomes:

Area = ∫[0 to 2π/3] ∫[0 to 9cos(3θ)] r dr dθ

Now we can evaluate this double integral:

Area = ∫[0 to 2π/3] (1/2)r² ∣[0 to 9cos(3θ)] dθ

Area = (1/2) ∫[0 to 2π/3] (81cos²(3θ)) dθ

Using the trigonometric identity cos²(3θ) = (1 + cos(6θ))/2, we can simplify further:

Area = (1/2) ∫[0 to 2π/3] (81/2)(1 + cos(6θ)) dθ

Area = (81/4) ∫[0 to 2π/3] (1 + cos(6θ)) dθ

Now we can integrate term by term:

Area = (81/4) [(θ + (1/6)sin(6θ)) ∣[0 to 2π/3]]

Area = (81/4) [(2π/3 + (1/6)sin(4π) - (1/6)sin(0))]

Simplifying further:

Area = (81/4) [(2π/3 + 0 - 0)]

Area = (81/4) (2π/3)

Area = (27/2)π

Therefore, the area of the region enclosed by the curve r = 9cos(3θ) is (27/2)π.

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Answer:

B=30,000

Y=The Plane's altitude

M= -2,000

X= Minutes

Equation: y=-2,000x+30,000

Slope= ?

Y-intercept= the point where you start at

what is the altitude after 10 minutes?=10,000

How Long does it take to get to 0 altitudes?=15 (Minutes)

Step-by-step explanation:

What are the choices for slope

If the length of OB was 3/4, then the length of OB' after dilation is; Option B: 3 units.

Dilation of an object simply means enlarging or shrinking the object by a scale factor.

We are told that Triangle ABC was dilated to Triangle A'B'C' using the rule D₀,₄. What this means is that it was enlarged by a scale factor of 4 with point O as the centre of dilation.

Now, if the length of OB is 3/4, it means that the new dilated length is gotten from;

                    Scale factor = new dilated length OB'/(3/4)

                    New dilated length OB' = (3/4) × 4

                    New dilated length OB' = 3 units

The question is incomplete. The complete question:

"Triangle ABC was dilated using the rule DO,4. Triangle A'B'C' is the result of the dilation. Point O is the centre of dilation. Triangle A B C is dilated to create triangle A prime B prime C prime. The length of O B is three-fourths. What is OB'?"

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Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. The median weight of the players on the football team is 160 pounds.

The box plot shows that the median weight of the players is the middle value of the distribution. In this case, the median weight is halfway between the 26th and 27th players, which is 160 pounds.

The box plot also shows that the minimum weight of the players is 150 pounds and the maximum weight is 212 pounds. The interquartile range, which is the range of the middle 50% of the data, is 20 pounds.

In conclusion, the median weight of the players on the football team is 160 pounds. This means that half of the players on the team weigh more than 160 pounds and half of the players weigh less than 160 pounds.

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Answer:

yes!

Step-by-step explanation:

hi, that is correct. 3800 is a constant, meaning it is consistent and the initial height of the plane before it starts its descent.

Send your request via email on the company mail, include your name, employee ID number, and the W2 you are asking for the particular year.

For more than a century, Walgreens has operated on the same set of values: Honesty, Trust, and Integrity with Our Customers, Our Shareholders, Our Suppliers, The Communities We Serve, and Among Ourselves.

Quality via dependable and consistent advice, goods, and services at all points of contact and through all channels.

kind, sensitive, and motivated to provide excellent service and a positive patient and customer experience in order to achieve healthy outcomes.

via service, knowledge, and the personal engagement of each member of the Walgreen team, a strong commitment to and presence in the community.

All products under the Walgreens brand come with a 100% satisfaction guarantee! Return the unused amount if you're not entirely happy, and we'll refund the entire purchase price.

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Answer: 12%

Step-by-step explanation:

21/175=

(21/7)/(175/7)=

3/25=

12/100=0.12

0.12*100=12%

Answer:

C

Step-by-step explanation:

100/500=0.2

0.2=20%

Answer:

C

Step-by-step explanation:

500÷100=20%

since the change is 100 and the first amount is 500 we do 500÷100=20% which is the percentage it changed

Answer:

He is 7 decades old.

Step-by-step explanation:

The neighbor is 7 decades old

Answer:

x 2 − 6 x + 9

x ^2 − 16

x^ 2 − 9

Step-by-step explanation:

91 x y , ( 3 x + 1 ) ( 4 x + 2 ) ÷ 13 x , 4 x + 2-divided

the top answer is factorised

The standard form of a hyperbola with center (h,k) is

We know the vertices are at (5,0) and (-5,0)

The vertices are at (h+a,k) and ( h-a,k)

The center must be at (0,0) and the a value is 5

The coordinates of the foci are at ( h+c,k) and ( h-c, k) and we know one of the foci is at (6,0)

c is equal to 6

We know that c^2 = a^2+b^2

6^2 = 5^2 + b^2

36 = 25+b^2

11 = b^2

We can write the equation