Give a geometric description of the set of points in space whose coordinates satisfy the given pairs of inequalities.
y\leqx2 , z\leq0
x\geqz2 , -5\leqy\leq0

Answer:

Step-by-step explanation:

angleNOP AND anglePOQ

anglePOQ AND angleQOR

The sample is 3, 71, 139, 207, and 275.

The procedure for systematic random sampling involves first dividing the population size by the sample size and rounding the result down to the nearest whole number, m. This value of m is known as the sampling interval. For the given population size of 341 and sample size of 5, the value of m is 68.

Next, a random number, k, between 1 and m is chosen. The given random-number table contains the values 03184, 61921, 87377, 97729, and 79151. Reading the two-digit number at the top left, we get 03, which is equal to 3. Therefore, k = 3.

Finally, the sample is taken from the population in intervals of m. In this case, the sample consists of members of the population numbered 3, 71, 139, 207, and 275. Therefore, the sample is 3, 71, 139, 207, and 275.

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Answer:

4

Step-by-step explanation:

1h

2hrs

10 mins before

wait 30mins

total: 3h 40mins

so has to buy 4hrs

Answer:

she has to pay for 3 hours and 40 minutes worth of parking so 4 or 3 if its rounded or not

Step-by-step explanation:

Answer:

answer is 1

Step-by-step explanation:

12-y/6y-36

and other you can see by photo

Hence, we can say that the weight of a person of 75 Kg in lbs will be equal to 165.3465lbs.

We know that the conversion factor for lbs to kg is

1 kg = 2.20462lbs

Now, to convert 75 Kg into lbs, we need to multiply the 75 with the conversion factor. That is,

75kg = 75×2.20462lbs = 165.3465lbs

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The volume of the solid obtained by rotating the region bounded by the curves y = 5[tex]x^5[/tex] and y = 5x about the x-axis is -(8π/21) cubic units.

We have,

To find the volume of the solid obtained by rotating the region bounded by the curves y = 5[tex]x^5[/tex] and y = 5x about the x-axis, we can use the method of cylindrical shells.

The region bounded by the curves is between x = 0 and x = 1.

Let's consider an infinitesimally thin strip of width dx at a distance x from the y-axis.

The height of this strip will be the difference between the two curves:

(5[tex]x^5[/tex]) - (5x).

The circumference of the shell at this distance x is 2πx (since we are rotating about the x-axis).

Therefore,

The volume of this infinitesimally thin shell is given by:

dV = (2πx) x [(5[tex]x^5[/tex]) - (5x)] x dx.

To find the total volume, we integrate this expression over the interval [0, 1]:

V = ∫(0 to 1) (2πx) x [(5[tex]x^5[/tex]) - (5x)] dx.

Simplifying the expression inside the integral:

V = 2π ∫(0 to 1) [(5[tex]x^6[/tex]) - (5x²] dx.

Integrating term by term:

V = 2π [([tex]x^7[/tex])/7 - (x³)/3] evaluated from 0 to 1.

Substituting the limits of integration:

V = 2π [(([tex]1^7[/tex])/7 - (1³)/3) - (([tex]0^7[/tex])/7 - (0³)/3)].

Simplifying:

V = 2π [(1/7 - 1/3) - (0 - 0)].

V = 2π [(3 - 7)/21].

V = 2π (-4/21).

V = -(8π/21).

Therefore,

The volume of the solid obtained by rotating the region bounded by the curves y = 5[tex]x^5[/tex] and y = 5x about the x-axis is -(8π/21) cubic units.

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Save store sold 100/3.

Two or more expressions with an Equal sign is called as Equation.

In figure A there are 12 stores

Now each store sells 200/12

If save store is 2

Save store sells =200/12×2

=100/3

Hence, save store sold 100/3.

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The amount Casey invested in the certificate of deposit is; $60,000.

An equation is an expression that shows the relationship between two or more numbers and variables.

Assume that

0.01c -  0.02s = $250---equation 1

c + s = $10,000 ------ equation 2

Where: c = amount invested in the certificate of deposit

s = amount invested in the savings account

Now Multiply equation 2 by 0.01:

0.01c + 0.01s = 100 equation 3

Subtract equation 3 from equation 1:

0.01s = 100

Divide both sides of the equation by 0.01:

s = 100 / 0.01

s = 10,000

Substitute for s in equation 2:

c + 10,000 = 70,000

c = 70,000 - 10,000

c = 60,000

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Approximately 86.5% of customers will be served in less than 10 minutes and only 13.5% of customers will take more than 10 minutes to check out.

To find the proportion of customers who take more than 10 minutes to check out, we need to calculate the cumulative distribution function (CDF) of an exponential distribution at 10 minutes and subtract it from 1. The CDF for an exponential distribution with mean (lambda) 5 minutes is given by:

CDF = 1 - e^(- λ * x)

Plugging in λ = 0.2 (1/mean) and x = 10, we get:

CDF = 1 - e^(-0.2 * 10) = 1 - e^(-2) = 1 - 0.135 = 0.865

So, approximately 86.5% of customers will be served in less than 10 minutes and only 13.5% of customers will take more than 10 minutes to check out.

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Let's call the length of the bottom side of the triangular banner "b". When Alice reaches her arm up above the ground, the height of the banner changes from its original height of "h" to a new height of "h'". The area of the banner can be calculated using the formula:

A = (b * h') / 2

The new height "h'", can be calculated using the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side (the hypotenuse).

In this case, the two shorter sides are the original height "h" and the difference between the length of Alice's arm and the original height, which we will call "d". The longest side is the distance between the two anchors, which we will call "a".

So:

h^2 + d^2 = a^2

We can solve for "d" using this equation:

d = sqrt(a^2 - h^2)

And then we can find "h'" using:

h' = h + d

So the area of the banner can be calculated as:

A = (b * (h + sqrt(a^2 - h^2))) / 2

The solution assumes that the banner is a right triangle, with one vertex at the top, one vertex at the bottom, and a straight side along the ground connecting the two bottom vertices.

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Answer:

1) 40%, increase

2) a)20%

3) True

Step-by-step explanation:

Answer:

(I) The nearest whole number is 317.5 meters per minute.

(ii) One decimal place is 317.5 meters per minute.

(iii) Two decimal places is 317.47 meters per minute.

(iv) Three significant figures is 317 meters per minute.

Note: To find the average velocity, divide the distance traveled by the time it took to travel that distance. 1500 meters / 4.67 minutes = 322.2 m/min. But since you want the answer rounded to different degrees, you can round the answer accordingly.

Using Pythagoras' theorem, we can conclude that we can put a 79.65 inches TV in the TV cabinet.

We have been given that a TV -cabinet is 64 inches long and 52 inches high.

After leaving 2 inches on all sides, our new dimensions would be:

Length = 66 - 2 - 2 = 66 - 4 = 62 inches

Height = 54 - 2 - 2 = 54 - 4 = 50 inches  

Using Pythagoras' theorem, we can find the diagonal of the television

Diagonal² = 62² + 50²

Diagonal² = 3844 + 2500

Diagonal² = 6344

Take square root of both sides:

Diagonal = √6344

Diagonal = 79.65 inches

Hence, we can put a 79.65 inches TV

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Answer:

Step-by-step explanation:

its number 3

Answer:

Step-by-step explanation:

let the common ratio be x.

boy 1 share= 6x

boy 2 share= 7x

boy 3 share= 8x

-------------------------------

                    21x= 10500.00

              => x= 10500/21

                   x= 500

6 x 500= $3000

7x 500= $3500

8 x 500= $28000

therefore,  boy 3 has the largest share of $28000.

Andrew is correct because 60 is the highest whole number that can round to 60. Any number higher than 60 will round up to a higher number. For example, 61 will round up to 70, and 62 will round up to 70. Therefore, 60 is the greatest whole number that rounds to 60.

The highest whole number is infinity, as there is no limit to how high a number can be. Whole numbers are all the numbers that are greater than or equal to 0, including 0 itself. The highest whole number is therefore infinity, as this is the highest possible number.

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Answer:

B

Step-by-step explanation:

Δy = -10-10= -20

Δx = -12-(-6) = -6

-20/-6= 10/3

Answer:

Step-by-step explanation:

If Damien can get to 70% maximum ranking in 56 hours, then we can make this equation:

0.7x(representing 70%)=56 (Amount of time Damien has played)

0.7x=56

Divide 0.7 on both sides we get:

x=80

Damien will have to play 80 hours to get to 100% Rank.

There will be 17 students voted for the famous athlete.

You can calculate this by multiplying the number of students in the grade (85) by the percentage who voted for the athlete (20% or 0.20).

85 x 0.20 = 17

The method used here is called "Percentage calculation." The method of percentage calculation is generally applicable to many situations where you want to find the proportion of a number relative to another number. It can be used to solve problems in various fields such as mathematics, finance, statistics, and more.

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The number of kilogram in 40 lb would be 18.1437.

A pound is an imperial unit used to measure bulk or weight. A kilogram is a metric measuring unit. The letters lb and lbm stand for pounds. Kilo or kg are used to denote kilograms. 0.4535 kilograms make up one pound.

In both the British imperial system and the United States' customary system, weight is measured in pounds. Measuring a person's weight is one common application of pounds.

The weight of a kilogram is 2.2046 pounds. We convert kilograms (kg) to pounds (lb) using the formula 1 kg = 2.2 lb. By multiplying by 2.2, we may convert a kilogram to a pound. We divide by 2.2 to change a pound into a kilogram.

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The equation of the parabola with focus at (-7,9) and directrix at y = 11 is given as follows:

(x + 7)² = -4(y - 10)

The equation of a vertical parabola is given as follows:

(x - h)² = 4p(y - k)

In which:

A parabola can be drawn given a focus of (-7, 9), hence:

Directrix of y = 11, hence:

k - p = 11.

Adding the equations of the y-coordinate of the focus and of the directrix, the value of k is obtained as follows:

2k = 20

k = 20/2

k = 10.

Hence the value of p is of:

p = k - 11

p = -1.

Meaning that the equation is:

(x + 7)² = -4(y - 10)

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The smallest sample standard deviation

Confidence Level: 95%; Confidence Interval: 42 to 48.

Assume that x  ±   y represents the confidence interval at P% for the values of some parameter.

In other words, the parameter's projected value is P% likely to fall within the range.

[x - y, x + y]

Data on how quickly a brand-new iron skillet rusts were gathered by four research teams using various techniques.

Assume that everyone is in agreement with the sample size and sample mean (in days).

Choose the team with the smallest sample standard deviation using the (confidence level; confidence interval) pairs below.

Then we have

= 48 - 42 = 6

Then we have

= 6/2

=3, which is smallest

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The question you have uploaded is seems to be incomplete, the complete question is

A. Confidence Level: 99.7%; Confidence Interval: 40 to 40

B. Confidence Level: 95%; Confidence Interval: 40 to 50

C. Confidence Level: 68%; Confidence Interval: 43 to 47

D. Confidence Level: 95%; Confidence Interval: 42 to 48

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{ASSUMING:}[/tex]

[tex]\mathsf{\dfrac{3}{2}(4x + 6)}[/tex]

[tex]\huge\textbf{If so, distribute \boxed{\rm{\bf \dfrac{3}{2}}} within the}\\\\\huge\textbf{parentheses}[/tex]

[tex]\mathsf{\dfrac{3}{2}(4x + 6)}[/tex]

[tex]\mathsf{= \dfrac{3}{2}(4x) + \dfrac{3}{2}(6)}[/tex]

[tex]\mathsf{= \dfrac{3}{2}\times \dfrac{4}{1}x + \dfrac{3}{2} \times \dfrac{6}{1}}[/tex]

[tex]\mathsf{= \dfrac{3\times4}{2\times1}x +\dfrac{3\times6}{2\times1}}[/tex]

[tex]\mathsf{= \dfrac{12}{2}x +\dfrac{18}{2}}[/tex]

[tex]\mathsf{= 6x + 9}[/tex]

[tex]\huge\textbf{Therefore your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{6x + 9}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Radioactivity decay, half-life, and population decay are only a few of the forms of decay that may be calculated using the exponential decay formula.

The term "exponential decay" describes a process in which a quantity diminishes over time at a pace that reduces proportionally as the quantity shrinks.

The population decline and radioactive decay are two examples of exponential decay. The data obtained can be used to make predictions about the population of a city or colony in the future as well as the half-life of radioactive materials.

The exponential decay formula aids in determining the rapid decline over time, or exponential decline. The exponential decay formula is used to calculate various types of decay, including radioactivity decay, half-life, and population decay.

The exponential decay formula is used to calculate various types of decay, including radioactivity decay, half-life, and population decay. The standard form of the equation be f(x) = a (1 - r)x.

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None of the aforementioned goods loads upon P1Q45. This is so that they cannot be loaded onto the same amount since each item is linked to a different one.

None of the aforementioned goods loads upon P1Q45. This is so that they cannot be loaded onto the same component since each item is linked to a different one. For instance, P1Q45 is connected to a particular component, like a printer, whereas P1Q7 is connected to a different component, like a monitor. Likewise, P2Q23 is connected to a third element, such a scanner. Therefore, it is not possible to load these items onto the same component as P1Q45. Furthermore, each of the three objects would need to be loaded separately into the component even if they were all linked to the same one. This is due to the fact that for the component to work effectively, each item needs to be put onto it securely and accurately. The answer to the question is therefore none of the aforementioned options.

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The correct answer is option is option d) not exact but having an integrating factor x c e.

Integrating factor is defined as the function which is selected in order to solve the given differential equation. It is most commonly used in ordinary linear differential equations of the first order. When the given differential equation is of the form; dy/dx + P(x) y = Q(x)

We have, (x2+y2)dy= -xydx

⇒dxdy= -(x2+y2xy)

Substitute y=vx

⇒ - dxdy=v+xdxdv

⇒v+xdxdv= -(1+v2v)

⇒ xdxdv= -(1+v2v−v)

            = -(−1+v2v3)

⇒v31+v2dv =xdx

Integrating both sides we get, −2v21+logv= logx-logc, where c is constant

⇒−2v21+log(cvx)=0

⇒y=cex2/2y2

Now using y(1)=1⇒c=e−1/2

Also y(x0)=e

⇒e=e−1/2+x02/2e2⇒1=−1/2+x02/2e2

⇒x02=3e2

⇒x0=[tex]\sqrt{3}[/tex]e

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