Given: pn = 25 and qn = 75. Find n

The area of the shaded region of the rectangle is approximately 573.92 square feet.

The figure in the image is that of a rectangle with a semi-circle inscribed in it.

The area of rectangle is expressed as:

Area = Length × Width

The area of semi-circle is expressed as:

Area = 1/2 × πr²

To determine the area of the shaded region, we simply subtract the area of the semi-circle from the area of the rectangle.

Area of shaded region = area of rectangle - area of semi-circle

Area of shaded region = ( Length × Width ) - ( 1/2 × πr² )

From the image:

Length = 40 ft

Width = 20 ft

Radius r = 12 ft

Plug the values into the above formula:

Area of shaded region = ( Length × Width ) - ( 1/2 × πr² )

Area of shaded region = ( 40 × 20 ) - ( 1/2 × 3.14 × 12² )

Area of shaded region = ( 800 ) - ( 226.08 )

Area of shaded region = 573.92 ft²

Therefore, the area is approximately 573.92 square feet.

Learn more about area of rectangle here: brainly.com/question/12019874

#SPJ1

Answer:

Chad can divide his rope in 21 pieces. (Answer B)

Step-by-step explanation:

To solve we divide.

15 divided by 5/7 is what we need to know.

When dividing fractions it is the same thing as multiplying by the reciprocal (flipped version of the fraction).

\(15\) ÷ \(\frac{5}{7}\) = 15 × \(\frac{7}{5}\)

\(\frac{15}{1}\)  × \(\frac{7}{5}\) = \(\frac{105}{5}\)

\(\frac{105}{5}\) = 21

Chad can divide his rope in 21 pieces.

Answer:

21 pieces

Step-by-step explanation:

Divide (5/7 yd / piece) into 15 yds:

   15 yds

----------------------- = 21 pieces

(5/7 yd / piece)

Answer:

A, C, E

Step-by-step explanation:

As long as all the 3 letters(D, K, and M) are included, it should be a valid name. These are the 3 points in the triangle afterall.

Social epidemiology is the study of the distribution of health and illness in a population.

Discussion:

Epidemiology by definition is the study of the distribution and determinants of states of health in populations.

In essence, social epidemiology is simply the branch of epidemiology concerned with the influence of social structures, institutions, and relationships on health."

Read More on Epidemiology:

https://brainly.com/question/13509266

According to the information, the three engines would work 70 hours with the same fuel.

According to the information, to find the time that three engines can work, with the same amount of fuel (7200kg) we must carry out the following procedure.

We calculate how much fuel an engine needs per hour

According to the above, each engine needs 34.28kg of fuel per hour. So if only 3 motors are running we would need 102.81kg per hour.

Now we just have to divide the total amount of fuel available into the consumption per hour of the three engines.

Learn more about time in: https://brainly.com/question/28050940

#SPJ1

Answer:

h = 6

Step-by-step explanation:

h is the short leg for AD in ΔADC: AD = 12

h is the long leg for DB in ΔCDB: DB = 3

Hence:

12/h = h/3

3 * 12/h = 3 * h/3  ==> isolate h by multiplying 3 on both sides

36/h = h

h * 36/h = h*h  ==> multiply by h on both sides to remove fractions

36 = h^2

h = \(\sqrt{36}\)

h = 6

Answer:

-1

Step-by-step explanation:

Answer:

7v and 4v are like terms, 9u is a term, and 5 is a constant.

Step-by-step explanation:

Like terms are terms that can be added together, such as numbers being multiplied by the same variable. A term is a number, a variable, or a number and a variable combined. A constant is a number that is not being multiplied or divided by a variable, but just a number on its own.

Option C - y = cos(x + 5π) is the equation that most closely represents the graph. See attached graph.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal.

The graph of y = cos(x + 5π) is a cosine function that is shifted horizontally 5 units to the left compared to the standard cosine function.

The function is a periodic function that oscillates between -1 and 1, with each cycle shifted 5 units to the left compared to the standard cosine function.

Learn more about equation:
https://brainly.com/question/22688504
#SPJ1

The value of x in the triangle is determined as 45.

The value of x in the triangle is calculated by applying the following formula,.

The measure of angle ABD = 0.2x + 52

The measure of angle CBD = 0.2x + 42

From the diagram, we can set-up the following equations;

x + 16 = 0.2x + 52

Simplify the equation above, by collecting similar terms;

x - 0.2x = 52 - 16

0.8x = 36

Divide both sides of the equation by " 0.8 "

0.8x / 0.8 = 36/0.8

x = 45

Thus, the value of x in the triangle is calculated by equating the appropriate values to each other.

Learn more about angles in triangles here: https://brainly.com/question/22262639

#SPJ1

Answer: B. y= 6x -4 and C. 12x -2y=-4

Step-by-step explanation:

I got it wrong on nearpod. but luckily nearpod shows you the correct answer after submitting the answer choices. So these are the actual answers.

Answer:

Ok, ok. It's probably "yes, because the angles add up to 360 degrees. HAPPY?

Answer:

None of those were answers

Answer:

i cant see teh expressions but..

Step-by-step explanation:

341+983=1324

1324 *divided by* 36

35 days :)

Answer:

Distributive Property.

Step-by-step explanation:

You distribute the 2 to each of the terms.

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

learn more about word problem from

https://brainly.com/question/21405634

#SPJ1

Step-by-step explanation:

4+(n+10)=25

4+n+10=25

n+14=25

n=25-14

n=11

Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

https://brainly.com/question/34063927

#SPJ11

Answer:f(x, y) = e

−xy. For the interior of the region, we find the critical points:

fx = −ye−xy

, fy = −xe−xy, so the only critical point is (0, 0), and f(0, 0) = 1.

For the boundary, we use Lagrange multipliers.

g(x, y) = x

2 + 4y

2 = 1 ⇒ λ∇g = h2λx, 8λyi, so setting ∇f = λ∇g we get

−ye−xy = 2λx and −xe−xy = 8λy. The first of these gives e

−xy = −2λx/y,

and then the second gives −x(−2λx/y) = 8λy ⇒ x

2 = 4y

2

. Solving this

last equation with the constraint x

2 + 4y

2 = 1 gives x = ± √

1

2

and y = ±

1

2

√

2

.

Now f

± √

1

2

, ∓

1

2

√

2

= e

1/4 ≈ 1.284 and f

± √

1

2

, ±

1

2

√

2

= e

−1/4 ≈ 0.779.

The former are the maxima on the region and the latter are the minima.

Step-by-step explanation:

Answer:

((2x+5)(2x-5))-((x+2)(x-2))

Step-by-step explanation:

You need to solve for the overall blue rectangle including the white part first, then subtract the area of the white rectangle from the area. That will give you the real area of the blue area.

Newton's method is a quadratic optimization problem. Also, a real function has a minimum at x(x₁, x₂, ... ) if and only if its gradient is zero and Hessian is positive semidefinite at that point.

The Newton method for unconstrained optimization finds local extrema. Given a function f(x): Rₙ→ R that we want to minimize, Newton's method works by finding the root of ∇f(x). Without detailed information about the behavior of f , we cannot know whether Newton's method has found a local minimum or maximum (or saddle point) as it converges to any initial guess. If you write the iterations as

                           Xₙ₊₁ = Xₙ−H⁻¹ ∇f(xₙ)

(where H is Hessian), as you are asking if you can't find the maximum using Xₙ₊₁ = xₙ+ H⁻¹ ∇f(xₙ).

Here we changed the sign of the second term. This is going nowhere, as we are moving away from the still point. To find a maximum using Newton's method in an unconstrained optimization problem, use exactly the same as for finding a minimum, but perhaps with a different initial guess.

On the other hand, the descent method works differently. For example, gradient descent updates each iteration by moving along the direction of decreasing f(x). In this case it makes sense to change the sign of the update if you're looking for the maximum value instead.

Learn more about Newton's Method:

https://brainly.com/question/14865059

#SPJ4

Answer:

\((x + 2.3)^{2} + y^{2} = \frac{36}{49}\)

Step-by-step explanation:

To get the equation of a circle, plug your information into this equation:

\((x - h)^2 + (y - k)^2 = r^2\)

Therefore, the equation of this circle is:

\((x + 2.3)^{2} + y^{2} = \frac{36}{49}\)

The confidence interval for the proportion of millennials that care about Jobs/Economy is (0.22, 0.28).

The term confidence interval refers statistical measure used to indicate the range of estimates within which an unknown statistical parameter is likely to fall.

Here we have given that Jobs/Economy 25%, Immigration 17%, Healthcare 16%, Education 16%, Environment 12%.

And we need to find the confidence interval for the proportion of millennials that care about Jobs/Economy.

As per the formula of confidence interval,

CI = x ± Z× s/√n

CI = 25 ± 1.9600 × 0.03/ √50

CI = 25 ± 0.00832

When we simplify this one then we get the confidence interval for the proportion of millennials that care about Jobs/Economy as

=> (0.22, 0.28)

Therefore, option (3) is correct.

To know more about Confidence interval here.

https://brainly.com/question/24131141

#SPJ4

The probability of observing such an extreme result by chance alone is 0.0124.

To find the P-value for a two-tailed test of hypothesis, we need to first determine the significance level (alpha) of the test. Let's assume a significance level of 0.05, which is a common choice.

Since this is a two-tailed test, we need to find the probability of observing a test statistic as extreme or more extreme than 2.5 in either direction. We can find this probability using a standard normal distribution table or a calculator.

Using a standard normal distribution table, we can find that the probability of observing a z-score of 2.5 or greater is 0.0062. The probability of observing a z-score of -2.5 or smaller is also 0.0062. Therefore, the P-value for the two-tailed test of hypothesis is:

P-value = 2 * 0.0062

P-value = 0.0124

This means that if the true proportion of business students who have personal computers at home differs from 30%, with a significance level of 0.05, and we obtain a test statistic of 2.5, then the probability of observing such an extreme result by chance alone is 0.0124.

To learn more about Probability :

brainly.com/question/24756209

#SPJ11

Answer:

24.5%

Step-by-step explanation:

Given

P(Off-Campus) = 0.30

P(Part-Time Job | Off-Campus) = 0.62

P(Part-Time Job | On-Campus) = 0.65

Inferred

P(On-Campus) = 0.70

P(No Part-Time Job | Off-Campus) = 0.38

P(No Part-Time Job | On-Campus) = 0.35

Calculation

P(No Part-Time Job | On-Campus) = P(No Part-Time Job ∩ On-Campus)/P(On-Campus)

0.35 = P(No Part-Time Job ∩ On-Campus)/0.70

0.245 = P(No Part-Time Job ∩ On-Campus)

Therefore, 24.5% of students that live on campus do not have a part-time job.

a) the expected number of smokers is 21.6, and

b) the standard deviation of the number of smokers is approximately 4.21.

a) To find the expected number of smokers, you need to multiply the probability of a student being a smoker (18% or

0.18) by the number of students surveyed (120). So, the expected number of smokers is:

Expected number of smokers = 0.18 × 120 = 21.6

b) To find the standard deviation of the number of smokers, you can use the formula for the standard deviation of a

binomial distribution, which is:

Standard deviation = √(n × p × (1 - p))

where n is the number of students surveyed, p is the probability of a student being a smoker, and (1 - p) is the

probability of a student not being a smoker. Plug in the values:

Standard deviation = √(120 × 0.18 × (1 - 0.18)) = √(120 × 0.18 × 0.82) ≈ 4.21

for such more question on expected number

https://brainly.com/question/15858152

#SPJ11

Answer:

72

Step-by-step explanation:

First square 6.

6^2=36

Then multiply 26 by 2.

2*36=72