which value for s will make this equation true?
s(11 - 3) = 24

answer:

(5,5).

explanation:

ordered-pair: (8,8) (2,2)

x1 (8), y1 (8). x2 (2), y2 (2)

x: (8+2/2)= 5.
y: (8+2/2)= 5.

midpoint formula:

Given the following second order differential equation as:(1-2x-x^2)y''+2(1-x)y'-2y=0 Also, given the first solution of the equation as: y1 is equal to x+1 Here, we will make use of the method of reduction of order to obtain the second solution as follows

As per the method of reduction of order, the second solution of the given equation can be represented as: y2= v(x) and y1 is equal to xv(x) Differentiating the above expression with respect to x, we have: y2=v+xv' Differentiating the above expression again with respect to x, we have: y''=2v'+xv'' Plugging in the above values into the given differential equation, we get: (1-2x-x^2)(2v'+xv'')+2(1-x)(v+xv')-2xv=0.

Simplifying the above equation, we get:$2v'+(1-x)v''=0 The above differential equation is now a linear first order differential equation, which can be solved by the method of variables separable as: 2v'+(1-x)v''=0 \frac{2v'}{v''+1}=-x+C Where C is the constant of integration. Substituting v=xu, we get: 2u'+2xu''+(1-x)(u''x+u) is equal to 0 Simplifying the above equation, we get: 2xu''+2u'+u=0 The above differential equation is now linear, which can be solved by the method of undetermined coefficients. As the characteristic equation is given as: 2r^2+2r+1=0.

The roots of the above quadratic equation can be given by: r=\frac{-2\pm \sqrt{4-8}}{4}=\frac{-1\pm i}{2} Thus, the complementary solution of the above differential equation is given by: yc=e^{-x}(C_1\cos \frac{x}{2}+C2\sin \frac{x}{2}) The particular solution can be assumed as: yp=u1(x)e^{-x}\cos \frac{x}{2}+u2(x)e^{-x}\sin \frac{x}{2} Differentiating the above expression with respect to x, we get: yp'=(u1'-\frac{1}{2}u1+\frac{1}{2}u2)e^{-x}\cos \frac{x}{2}+(u2'+\frac{1}{2}u2+\frac{1}{2}u1)e^{-x}\sin \frac{x}{2} Differentiating the above expression again with respect to x, we get: yp''=-(u1''-u1'+\frac{1}{2}u2'-\frac{1}{2}u1)e^{-x}\cos \frac{x}{2}-(u2''-u2'-\frac{1}{2}u1'-\frac{1}{2}u2)e^{-x}\sin \frac{x}{2} Plugging in the above values in the particular solution of the given differential equation, we get: 2x(-u1''+u1'+\frac{1}{2}u2'-\frac{1}{2}u1)+2(u2'+\frac{1}{2}u2+\frac{1}{2}u1)+u1e^x\cos \frac{x}{2}+u2e^{-x}\sin \frac{x}{2}=0 Simplifying the above equation, we get: u1''-u1'+(\frac{u1}{x}+\frac{u2}{x})=0 Assuming u1=x^r, we get: u1''-u1'=\frac{u1}{x} Substituting the above values, we get: r(r-1)x^r-rx^r=\frac{1}{x^2}x^r Simplifying the above equation, we get: r^2-2r+1=0

r=1.

Thus, the second solution of the given differential equation is given by:y2=u_1(x)x^{-1}e^{-x}\cos \frac{x}{2}+u_2(x)x^{-1}e^{-x}\sin \frac{x}{2}where u1(x) and u2(x) can be obtained by solving for the differential equation u1''-u1'=-\frac{u_2}{x}.

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Good evening,

Answer: 13.

Step-by-step explanation:

8/2=x+3/4

4=x+3/4

4x4=x+3

16-x=3

-x=3-16

-x=-13

x=13

For any given event, the probability of that event and the probability of the non-occurrence of the event must sum to one.

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

The probability of occurrence formula, also known to some as the “probability of occurrence formula PMP” is a tool for determining the chance that a given risk will occur. The formula requires two data points: number of favourable events possible and the total number of events possible.

Non occurrence patterns identifies the absence of events when detecting a pattern.

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Answer:

-30, 210 and 330 degrees

Step-by-step explanation:

Given the expression Sin x = - 1/2

x = arcsin(-1/2)

x = -30 degrees

Since sin is negative in the third and fourth quadrant

x = 180 + 30

x = 210 degrees

In the fourth quadrant

x = 360 - 30

x = 330

Hence the value of x within the interval -360 < x < 360 are -30, 210 and 330 degrees

The predicted number of adults in Oak City whose main source of news is newspapers or the radio is 85

To predict the number of adults in Oak City whose main source of news is newspapers or the radio, we need to add the number of adults who answered "Newspapers" to the number of adults who answered "Radio".

According to the sample data

Number of adults who answered "Newspapers": 64

Number of adults who answered "Radio": 21

Therefore, the predicted number of adults in Oak City whose main source of news is newspapers or the radio we have to use the addition

64 + 21 = 85

Rounding this answer to the nearest whole number, we get

85 ≈ 85

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The given question is incomplete, the complete question is:

There are 44,000 adults living in Oak City. In examining attitudes toward the news, a research group asked a random sample of Oak City adults "What is your main source of news?" The results are shown below. Main Source of News Newspapers Number of Adults 64 Internet 80 Television 126 Radio 21 Other 40 Based on the sample, predict the number of adults in Oak City whose main source of news is newspapers or the radio. Round your answer to the nearest whole number.

Answer:

use Pythagoras theorem formula   \(C^{2}\) = \(A^{2}\) + \(B^{2}\)

Step-by-step explanation:

\(C^{2}\) =  \(24^{2}\) + \(18^{2}\)

\(C^{2}\)  = 576 + 324

\(C^{2}\) = 900

C = \(\sqrt{900}\)

C = 30

Does that make sense?  :|

Answer:

\(\sf D) \quad s=8 \frac{1}{4}t\)

Step-by-step explanation:

Therefore, if the rate of cleaning is 8 1/4 square feet per hour, the relationship between s and t is:

\(\sf s=8 \frac{1}{4}t\)

There are the number of pods of peas are  = 38

A number is split in the straightforward action of division. It's simpler to visualize it as a set of items being distributed to a certain group of individuals, as in the scenario given above. Naturally, in the interest of fairness, you should always offer each person the same amount.

One of the four fundamental operations of arithmetic, or how to mix numbers to create new ones, is division. Addition, subtraction, and multiplication are the other operations.

total number of peas = 288

peas have per pod  = 6

total number of pods required  = 288/6

                                                    = 38

there are the number of pods of peas are  = 38

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I understand that the question you are looking for is:

George Mendel is examining peas to try to understand how traits are passed from parents to offspring. Today Gregor has 228 peas to examine . The pods have 6 peas per pod. How many pods of peas are there?

No, events A (the number is even) and B (the number is a multiple of 3) are not independent.

For events A and B to be independent, the probability of event A occurring should be unaffected by the occurrence or non-occurrence of event B, and vice versa. To determine if events A and B are independent, we examine the probabilities of each event separately.

Event A: The probability of selecting an even number from the given range is 25/50 = 1/2, as there are 50 integers in the range and half of them are even. Event B: The probability of selecting a multiple of 3 from the range is 16/50, as there are 16 integers in the range that are divisible by 3.

If events A and B are independent, then the probability of both events occurring should be equal to the product of their individual probabilities. However, in this case, the probability of both events occurring is (1/2) * (16/50) = 8/50, which is not equal to the product of their individual probabilities. Therefore, we can conclude that events A and B are not independent.

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The measure of other 3 angles comes out to be 78°, 102° and 102°.

Here, we are given that Two streets intersect at a traffic light and one of the angles formed by the intersecting streets is 78°.

This scenario can be drawn as depicted in the image below. A and B are the two streets.

Now, we need to find the other three angles.

As we can see that A'OA is a straight line,

⇒ ∠AOB + ∠A'OB = 180

∠A'OB = 180 - ∠AOB

∠A'OB = 180 - 78

∠A'OB = 102

Now, as we know that vertically opposite angles are equal.

∠A'OB = ∠AOB' = 102

and ∠AOB = ∠A'OB' = 78

Hence, the measure of other 3 angles comes out to be 78°, 102° and 102°.

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Using vertical angles, it is found that the measures of the other three angles are of: \($78^{\circ}, 102^{\circ}, 102^{\circ}$\).

What are vertical angles?

Vertical angles are when two segments are intersected, containing four angles that:

Are congruent in pairs, that is, two angles measure $x$ and two angles measure y.

Have measures adding to \(360^{\circ}$.\)

For this problem, we have that one of the angles is of \(78^{\circ}$,\) hence there is another angle that also measures \($78^{\circ}$\), and two other angles measuring x, considering that:

\($2\left(78^{\circ}\right)+2 x=360^{\circ}$\) (as they are congruent in pairs and have measures adding to \(360$)^{\circ}$\)

Then we solve for x as follows:

156+2 x=360

2 x=360-156

x=(360-156) / 2

\(x=102^{\circ}\)

Hence two other angles with a measure of  \(102^{\circ}\)

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Answer:

See explanation

Step-by-step explanation:

The graph of y = |x| is a graph of the absolute value function, which is a piecewise defined function. The graph of this function is a V-shaped curve, with the vertex of the V at the origin (0,0). The graph of y = |x + 1| + 4 can be obtained by shifting the graph of y = |x| to the right by 1 unit, and then shifting it up by 4 units.

The resulting graph of y = |x + 1| + 4 will be a V-shaped curve with the vertex at the point (1,4). The curve will be shifted to the right and up compared to the graph of y = |x|, and it will have the same general shape as the original graph.

Answer:

\( \frac{x}{4} + \frac{1}{2} = \frac{1}{8} \)

\( \frac{x}{4} = - \frac{3}{8} \)

\(x = - \frac{3}{2} = - 1 \frac{1}{2} \)

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

Consider the equation, we have only one x term, so taking all the terms without x to the other side and terms with x on one side.

x/4 + 1/2 = 1/8

Take the 1/2 term on the other side,

x/4=1/8 - 1/2

Taking the LCM on the Right side,

x/4 = (1-4) / 8

x/4 = -3/8

Now, we have x/4 so what we can do is, shift the 4 to the other side too, we get,

x = ( -3/8) * 4

x = -3/2

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

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The 390 ml of pure water will you need to add to obtain the desired solution.

It is required to find how much pure water will you need to add to obtain the desired solution.

A part of a whole expressed in hundredths a high percentage of students attended. Also the result obtained by multiplying a number by a percent the percentage equals the rate times the base.

Given:

You know that the current solution is 70% alcohol, so the amount of alcohol present is 70% of 520 = 364

Let x be the amount of water to add.  Then the new total amount would be 520 + x.  To arrive at a solution that is 40% alcohol, you would want the amount of alcohol to be 40% of the new total.

So...

364 = .40 * (520 + x)

By simplify we get,

364=208+0.40x

364-208=0.40x

156=0.40x

x=390 ml

we must add 390 ml of water to get the 40% solution.

Therefore, the 390 ml of pure water will you need to add to obtain the desired solution.

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The Solution using two methods are 323, .291, the correct option is B`.

Probability of an event is a measurement of how likely an event can occur as an outcome of a random experiment.

Probability ranges from 0 to 1, both inclusive. Events whose probability is closer to 0 are rarer to occur than those whose probabilities are closer to 1 (relatively).

When converted to percentage, we just need to multiply its decimal representation by 100. In percentage form, the probability ranges from 0% to 100%.

Given;

Frank is a champion fish charmer who can charm fish with .62 probability of success

He attempts to charm 100 fish, what's the probability he'll charm

between 60 and 80 inclusive

Now, probability out of 100

=62

This is between 60 and 80

So, 323

Therefore, the probability will be 323 and .291

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Answer:

Step-by-step explanation:

Answer:

Yes, they could use a $100 gift certificate to buy 12 tickets.

Step-by-step explanation:

Going by 3 tickets

3 tickets is $23.25

6 tickets is $46.05 ($23.25 x 2 = $46.05)

9 tickets is $69.75 ($23.25 x 3 = $69.75)

12 tickets is $93.00 ($23.25 x 4 = $93 or $93.00)

Hope this helps!

Answer:

5 : 7

Step-by-step explanation:

groom's side: 40

bride's side: 56

ratio groom to bride = 40/56 = 20/28 = 10/14 = 5/7

Answer: 5 : 7

A. The base and height of a parallelogram are not inherently related to a circle. They are properties of the parallelogram itself, while the circle has its own properties such as radius, diameter, circumference, and area.

B. A parallelogram cannot be used to directly justify the formula for the area of a circle, which is A = πr^2 (where A is the area and r is the radius). However, it is possible to use a parallelogram to derive an approximate value of π.

The method involves inscribing a circle inside a regular polygon (such as a hexagon or an octagon), and then approximating the area of the circle as being equal to the area of the polygon. As the number of sides of the polygon increases, the approximation becomes more accurate and eventually converges to the true value of π.

C. Dividing a circle into 16 congruent triangles will form a new shape that resembles a polygon rather than a parallelogram. The area of this shape can be used to estimate the area of the circle, but it is not necessarily a better estimate than using the original parallelogram method. The accuracy of the estimate will depend on the size and shape of the triangles, as well as the accuracy of the calculations used to determine the area of the shape. In general, using a larger number of smaller triangles will provide a more accurate estimate of the area of the circle.

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The linear relationship between the total cost C and the time at the Cafe, t indicates that Ariana can use the computer for 7.5 minutes if she only has $15.75

A linear relationship is used to describe relationships between variables that form a straight line when ordered pairs are plotted as a graph on the coordinate plane.

The ordered pair of points for the linear relationship from the table are; (1, 9.9) and (7, 15.30)

The equation of a linear function is of the form, y = m·x + c

Where;

m = The slope of the function

c = the y-intercept

The slope of the function from the given pair of points is therefore;

\(m= \dfrac{15.30 - 9.90}{7 - 1} = 0.9\)

The equation of the function in point-slope form is therefore;

C - 9.9 = 0.9·(t - 1)

y = 0.9·x - 0.9 + 9.9 = 0.9·x + 9

The equation for the function in slope-intercept form is; C = 0.9·t + 9

Where;

C = The total cost the computer for t minutes

t = The duration of using the computer in minutes

When C = $15.75, we have;

15.75 = 0.9·t + 9

\(t = \dfrac{15.75-9}{0.9} = 7.5\)

The number of minutes Ariana can use the computer if she only has $15.75 is 7.5 minutes

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Answer:

B. 1.00 x 10 to the 4th power

Step-by-step explanation:

Answer:

x + y =2

-x         -x

y = -1x + 2

Perpendicular is y= 1x + 2

Step-by-step explanation:

A triangle's internal angles add up to a total of 180°. This indicates that a triangle's complete turn from one angle to another is equivalent to 180 degrees. Regardless of the triangle's size or shape, there is a link between the measurements of its internal angles.

The sum of the two angles' measurements would also equal 180° if we think of a straight line as a degenerate triangle with two of its angles each measuring 180°. So, the equation for the connection between two angles' measurements is:

Mangle1 + Mangle2 = 180°

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The optimal solution for the amount of cash to withdraw each time to minimize transportation costs and maximize interest earnings is determined by calculating the Economic Order Quantity (EOQ) using the formula Q = √((2 * C * T) / r), and rounding the result to a convenient amount.

The Economic Order Quantity (EOQ) model is typically used for inventory management, not for optimizing cash withdrawals. However, if we assume that the question is seeking an optimal withdrawal strategy to minimize transportation costs and maximize interest earnings, we can approach it as follows:

Let's denote:

C = Annual cash need ($5,000)

T = Transportation cost per visit ($5)

r = Annual interest rate (5%)

To find the optimal solution for the amount of cash to withdraw each time, we can consider the trade-off between transportation costs and interest earnings. The objective is to minimize the total cost.

Calculate the optimal order quantity (Q) using the EOQ formula:

Q = √((2 * C * T) / r)

Round the calculated Q to the nearest convenient amount, such as multiples of $100 or $500.

The optimal solution would be to withdraw the rounded Q amount each time to minimize transportation costs while still meeting the annual cash need.

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Answer:

The answer to your problem is, 161

Step-by-step explanation:

(9+8+6) = 23

7 x 23 =

161

Thus the answer is 161

The cost of installing a fence around an 80 ft. wide and 120 ft. deep rectangular lot, with the fence priced at $3.25 per linear foot, will be $1,300.

To determine the cost of installing a fence around a rectangular lot, you need to calculate the total length of the fence required and then multiply that by the cost per linear foot. The given dimensions of the lot are 80 feet wide and 120 feet deep.
First, calculate the perimeter of the rectangular lot. The perimeter of a rectangle is given by the formula P = 2L + 2W, where L is the length (or depth) and W is the width. In this case, the perimeter is P = 2(120) + 2(80) = 240 + 160 = 400 feet.
Next, multiply the total length of the fence by the cost per linear foot, which is $3.25. So, the cost of installing the fence is 400 feet × $3.25 per linear foot = $1,300.

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