find the volume of the solid generated by revolving about the x-axis the region bounded by the upper half of the ellipse: x^2/a^2 + y^2/b^2 = 1, and the x-axis and thus find the vol of a prolate sph.
spheroid. Here, a and b are positive constants, with a > b. Asks for the volume of the solid of revolution.

Answer:

me

Step-by-step explanation:

Answer:

what is that?

Step-by-step explanation:

Alina has $22.4 if her mother gave her 1/6 more of what she had at first.

To find how much money would Alina has if her mother gave her 1/6 more of what she had at first:

Alina has 3/5 much money as Edna.

Edna has $32.

Alina's mother gave her more 1/6 or 3/5.

So, first, we will find 1/6 of 3/5.

Now, add 3/30 to 3/5.

Hence, Alina has 21/30 as much money as Edna.

Then,

Therefore, Alina has $22.4 if her mother gave her 1/6 more of what she had at first.

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Answer:

we can make some assumptions b/c of the marks. on the sides,  the double marks means they are the same,  and the single marks are also the same length.  because those sides are the same lengths.. we can just add up all the  sides to find the length around the shape... or the perimeter of it.  

Step-by-step explanation:

I'll start with the 14 on the left, and go counter clock wise

14 + 6 + 9 + 5 + 9 + 7 + 14 + (6+7+5)   =  Perimeter

the last numbers in the parenthesis are from the sides opposite of the long top side,  the parts of the other sides adds up to the long top side... sooo,

Perimeter = 82   ( I added in my head , so use a calculator to double check )  

In a case whereby the sum of two consecutive numbers is 25 the largest of the consecutive numbers is 13.

Given that sum of two consecutive numbers is 25 , ans we were required to locatye the  largest of the consecutive numbers. The we can represent the consecutive numbers as x and x+1. According to the problem, the sum of these two consecutive numbers is 25:

x + (x+1) = 25

Simplifying the left side of the equation:

2x + 1 = 25

2x = 24

Dividing both sides by 2:

x = 12

So the first consecutive number is 12. The second consecutive number is 12 + 1 = 13. Therefore, the largest of the consecutive numbers is 13.

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Answer:

$22.5 off

Step-by-step explanation:

Answer:

60mm/s

Step-by-step explanation:

Plz give brianliest and push the thanks button

Answer:

p=2

Step-by-step explanation:

8n + 16 = 8n + 8p

subtract 8n

16=8p

divide both sides by 8

p = 2

To find the value of p that sets the expression equal to each other:

  ⇒ must set both equations equal to each other, like such:

            \(8(n+2)=(n+p)8\\8n+16=8n+8p\\8n+16-8n=8p\\16=8p\\8p=16\\p=2\)

Thus the value of p so that the expression 8(n + 2) is equivalent to (n + p)8​ is 2

Answer: 2

Hope that helps!

A common at-home workout that features high-intensity cardio, and strength-building exercises, and focuses on total body fitness might be a 21-day or 60-day "challenge". Thus, the correct option is C.

Body fitness may be defined as an ability of a person to perform daily physical activities with normal performance, endurance, and strength. This fitness assists the individual in the regulation of disease, fatigue, and stress and reduced inactive behavior.

People who performed high-intensity cardio, and strength-building exercises, in their home and focus on total body fitness must be actively involved in the 21-day or 60-day "challenge".

A 21-day or 60-day "challenge" would be self-selected by an individual in order to maintain their overall physical fitness.

Therefore, the correct option for this question is C.

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Answer:

x=4

AB=19

Step-by-step explanation:

in such a parallelogram the length of AD must be equal to the length of BC.

=>

18x = 17x + 4

x = 4

AB = 4x + 3 = 4×4 + 3 = 19

Answer:

the correct answer is 8.7

Answer:

8.7

Step-by-step explanation:

one way that works the best, since you have your unknown variable ( a ), you will have to move -3.2 over to the side where 5.5 is. after you do that, you have to add together the 3.2 and the 5.5 because whenever you do something like that, you have to do the opposite of that. hope that made sense!

From september to october the stock increased 8%, then, we can calculate the 8% of 74.29, and then add the result to the total:

the total for october is $80.23. Finally, since the price fell by 8% in november, we can find the new total by calculating the 92% of $80.23 (since 100% - 8% = 92%):

therefore, the price in november was $73.81

Answer:

.37

Step-by-step explanation:

2.99 divided by 8 = .37375 rounded up to your hundredths is .37

Altitude and perpendicular bisector of a side are always perpendicular to a side of a triangle.

How do triangles work?

A triangle is a three-sided polygon with three vertices. The angles of the triangle are formed by the three sides' end-to-end connections at a point.

               The triangle's three angles add up to a total of 180 degrees.

In a triangle, what is the altitude?

The perpendicular line drawn from a triangle's vertex to its opposite side is the definition of a triangle's altitude.

                       The altitude forms a right-angle triangle with the base and is also referred to as the triangle's height.

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Answer: I believe it is 2, not -2.

Part of question :

(x-10)^2+(y-10)^2=100

(16-10)^2+(18-10)^2=100

Answer:

Yes, equation of circle is true

Step-by-step explanation:

(x-10)^2+(y-10)^2=100

(16-10)^2+(18-10)^2=100

100=100

plugging the coordinates into the equation of the circle, we observe that the equation is true since both sides of the equation are equal(value on both sides of the equal sign are same). This wouldn't be true if for instance the left side of the equation evaluated to ≠100. Therefore we can conclude that the rose bush lies on circle since the equation is true

To calculate the cash balance at the end of the period, we need to consider the cash inflows and outflows.

Starting cash balance: $4,520

Cash inflows: $1,654 (receivables collected)

Cash outflows: $1,961 (payments to suppliers) + $500 (cash expenses)

Total cash inflows: $1,654

Total cash outflows: $1,961 + $500 = $2,461

To calculate the cash balance at the end of the period, we subtract the total cash outflows from the starting cash balance and add the total cash inflows:

Cash balance at the end of the period = Starting cash balance + Total cash inflows - Total cash outflows

Cash balance at the end of the period = $4,520 + $1,654 - $2,461

Cash balance at the end of the period = $4,520 - $807

Cash balance at the end of the period = $3,713

Therefore, the cash balance at the end of the period is $3,713.

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a) The magnitude of the earthquake is approximately 3.0.

b) The intensity of the earthquake is approximately 1258.925.

(a) To find the magnitude of an earthquake based on the intensity, we can use the following equation:

Magnitude = log10(Intensity) + 1.5

Given that the intensity is 30.25, we can calculate the magnitude as follows:

Magnitude = log10(30.25) + 1.5 ≈ 1.48 + 1.5 ≈ 2.98

Rounding to one decimal place, the magnitude of the earthquake is approximately 3.0.

(b) To find the intensity of an earthquake based on the magnitude, we can use the following equation:

Intensity = 10^(Magnitude - 1.5)

Given that the magnitude is 4.6, we can calculate the intensity as follows:

Intensity = 10^(4.6 - 1.5) ≈ 10^3.1 ≈ 1258.925

Therefore, the intensity of the earthquake is approximately 1258.925.

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Answer:

The stereotypical roles are that men were seen as the provider for the family and women were seen as the caretakers of both the home and the family.

Answer:

Your answer is:

Male: Protect Kids If There Are Any, Makes Sure The House Is Protected As Well, Treat The Wife And Kids With Respect, and Work to Provide Income.

Female: Provide Food, Teach Kids, Help Kids, Fix Food For Husband, Clean, and etc.

Step-by-step explanation:

Hope this helped : )

Answer:

=3±√5

Step-by-step explanation:

Answer:

\( {(x - 3)}^{2} = 5 \\ x - 3 = \sqrt{5} \\ x = 3 + \sqrt{5} \)

Step-by-step explanation:

The plus sign on the right side of the last equation should read "plus or minus".

Answer:

Step-by-step explanation:

a) y=\(x^{2} -4x\)

x=-1 ⇒ y=\((-1)^{2} +4=1+4=5\)

x=1    ⇒  y=\(1^{2} -4=1-4=-3\)

x=2 ⇒   y=\(2^{2} +8=4-8=-4\)

x=4   ⇒  y=\(4^{2} -16=16-16=0\)

b) \(x^{2} -4x\)=\(x^{2} -4x+4-4=(x-2)^{2}-4\)

so the blue one

The probability that bill picks a box with a star in it is 9/15  

Probability :

In Mathematics, Probability is defined as the chances of an event will occur in random experiments. In simple words it is defined as the ratio of the number of favorable outcomes and the total number of outcomes. The Probability of an event is denoted by P(E)

Probability(E) = Favorable Outcomes/Total Outcomes  

Here we have,

In a game, there are 3 jars - i, ii, and iii.

jar i contains 3 small boxes with stars and 2 with marbles,

jar ii contains 2 small boxes with stars and 3 with marbles

jar ii contains 4 small boxes with stars and 1 with marble.  

From the above observations,

the probability of choosing one jar from 3 jars = 1/3

Now find the probability of choosing a box with a star in each jar  

The probability of choosing a box with a star in Jar i = 3/5

The probability of choosing a box with a star in Jar ii = 2/5

The probability of choosing a box with a star in Jar iii = 4/5      

From the above calculations,

The probability that bill picks a box with a star in it

=  \(\frac{1}{3} . \frac{3}{5} + \frac{1}{3} . \frac{2}{5} + \frac{1}{3} . \frac{4}{5}\)  

=  \(\frac{3}{15} + \frac{2}{15} + \frac{4}{15}\)

= \(\frac{9}{15}\)

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Mathematics is a fundamental subject in education that is essential in the development of an individual’s critical thinking and problem-solving skills. It is one of the primary subjects that are taught in elementary schools and must be taught appropriately for children to understand and gain the required skills. One true statement about mathematics teaching in elementary schools is that it should be student-centered.

Teachers should focus on the child's understanding, individual learning abilities and styles, and progress.The learning experience should not be centered on the teacher but on the students. Teachers should also make the subject engaging and interactive to enable students to grasp the content easily and maintain their interest in the subject. Besides, teachers should develop a personalized learning approach that allows students to learn and understand the subject at their own pace while creating opportunities for individual and group learning. Through such learning approaches, students can develop the required mathematical concepts and competencies such as critical thinking, problem-solving, and decision-making skills that will be beneficial in their future endeavors.

In elementary schools, mathematics teaching should be student-centered. It should be engaging and interactive to enable students to grasp the content easily and maintain their interest in the subject.

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Solution;

From the given question, we have

To evaluate the proportion of people that spend at least 5 hours per day on their home computers,

Step 1: Evaluate the z score value.

The z score value is expressed as

In this case,

thus, we have the z score value to be evaluated as

Step 2: Evaluate the probability that people will spend at least 5 hours per day on their home computers,

From the normal distribution table, we have

This implies that

Hence, the proportion that spends at least 5 hours per day on their home computers is evaluated to be

To evaluate the integral ∫ x ds, we need to parameterize the given curves and compute the arc length integral. In part (a), we evaluate the integral for the straight line segment from (0, 0) to (12, 6). In part (b), we evaluate the integral for the parabolic curve from (0, 0) to (2, 12).


(a) For the straight line segment x = t, y = t/2 from (0, 0) to (12, 6), we can parameterize the curve as follows: x = t, y = t/2. The differential arc length element ds is given by ds = √(dx² + dy²). Substituting the parameterizations, we have ds = √(dt² + (dt/2)²) = √(5/4 dt²). Thus, the integral becomes ∫ x ds = ∫ t √(5/4 dt²) = ∫ t (√5/2) dt. Integrating with respect to t from 0 to 12, we get (√5/2) ∫ t dt = (√5/2) (t²/2) evaluated from 0 to 12. Evaluating this expression, we find that the integral is equal to (√5/2) (144/2) = 36√5.
(b) For the parabolic curve x = t, y = 3t² from (0, 0) to (2, 12), we can parameterize the curve as before: x = t, y = 3t². The differential arc length element ds is given by ds = √(dx² + dy²). Substituting the parameterizations, we have ds = √(dt² + (6t dt)²) = √(1 + 36t²) dt. Thus, the integral becomes ∫ x ds = ∫ t √(1 + 36t²)dt. Integrating with respect to t from 0 to 2, we can use techniques like substitution or numerical methods to evaluate the integral and obtain the result.

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Answer:

Step-by-step explanation:

To find the value of y(e), where y(x) is the solution to the initial value problem given by dx/dy = xy^2(lnx)^2, y(1) = 4, we need to solve the differential equation and then evaluate y at x = e.

Let's solve the differential equation step by step:

Separating variables, we have:

dy/y^2 = x(lnx)^2 dx

Integrating both sides:

∫(1/y^2) dy = ∫x(lnx)^2 dx

To integrate 1/y^2 with respect to y, we get:

-1/y = (1/3)(lnx)^3 + C1

Solving for y:

y = -1 / [(1/3)(lnx)^3 + C1]

To find the value of C1, we can use the initial condition y(1) = 4:

4 = -1 / [(1/3)(ln1)^3 + C1]

4 = -1 / [C1 + 0 + C1]

4 = -1 / (2C1)

-8C1 = 1

C1 = -1/8

Substituting this value back into the equation for y:

y = -1 / [(1/3)(lnx)^3 - 1/8]

Now, we can evaluate y at x = e:

y(e) = -1 / [(1/3)(ln(e))^3 - 1/8]

= -1 / [(1/3)(1)^3 - 1/8]

= -1 / (1/3 - 1/8)

= -1 / (8/24 - 3/24)

= -1 / (5/24)

= -24/5

Therefore, y(e) = -24/5.

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To find f(3) given the function f(t) = u(t) - e^(t), the point u(3) = (1, 2, -1), and the vector v(t) = (1, ², ³), we need to substitute t = 3 into the function and perform the necessary calculations.

Substituting t = 3 into f(t) = u(t) - e^(t), we have:

f(3) = u(3) - e^(3)

Since u(3) is given as (1, 2, -1), we have:

f(3) = (1, 2, -1) - e^(3)

To evaluate e^(3), we need to calculate the exponential function e^(3) = e * e * e.

Finally, we subtract e^(3) from (1, 2, -1) to find the value of f(3). The result will be a vector with three components.

Please note that the specific values of e^(3) and the final vector components cannot be provided here as they involve numerical calculations.

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Answer:

Thanks for the pooints

Step-by-step explanation:

And It would be To be smart.

Answer:

To be ultra brainy so I would’ve have to look for easy questions to answer to earn points on brainly

Step-by-step explanation: