What are prime multiples of 10?.

Plastic, wood, and rubber are the three materials that do not conduct electricity.

Conductors are materials that conduct heat or electricity. Insulators are the materials that do not allow to conduct heat or electricity.

Electrical insulators are materials that do not allow to pass electricity  through them.

Glass,  wood, rubber and plastic are examples of these materials. Air also acts as an insulator.

Thus,these non-conductors/insulators are useful in a variety of applications.

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Answer:

Step-by-step explanation:

a

2/2 x^2 = 24/2

x^2 = 12

x = √12

x = 3.464102 = 3.46

x = -√12 = -3.46

b

x^2 = 14 + 4

x^2 = 18

x = √18

x = 4.242641 = 4.24

x = -√18 = -4.24

The four ways to care for our nervous system are exercise, meditation, proper sleep and healthy food.

There are many ways to care and protect our nervous system. But some of the basics and the most important ways to care for our nervous system are to follow a basic routine which includes regular exercise, practicing meditation daily, having proper sleep for at least seven hours a day and having healthy food mostly.

Now, doing exercise means that we are constantly engaged in some kind of physical activity and healthy food also means to have a balanced lifestyle.

Hence, the four ways to care for our nervous system are exercise, meditation, proper sleep and healthy food.

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The closest object that she is going to be able to see clearly is going to be situated at a distance of 20 cm from her eyes.

Here, it has been given that the lens-to-retina distance of her eye is = 2.00 cm (i)

The normal power for distant vision is 50.00 Dioptres. This woman has the ability to increase lens strength by 10%. The new power for this is going to be -

= P1 = 50.00 + 10% of 50

= P1 = 55.00 D (ii)

Now, the power of a lens, P = 1/f = 1/u + 1/v where f = focal length of the lens, u = object distance from eye lens, and v = image distance from eye lens.

We are aware of the formula = P1 = 1/u + 1/v

Using the values of (i) and (ii) and the formula, we get -

= 1/u = P'- 1/v

= 1/u = 55.0 D - 1/0.02 m

= 1/u = 5.0 m⁻¹

= u = 1/5.0 m⁻¹

= u = 20 cm

Hence, we have found out that the woman can see objects at a distance of 20 cm.

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Maura's driveway is 4.7 meters long and the distance from the garage into the lot is 3.6 meters

The length of Maura's drive way is solved using SOH CAH TOA

Sin = opposite / hypotenuse - SOH

Cos = adjacent / hypotenuse - CAH

Tan = opposite / adjacent - TOA

The information in the question describes a right angle triangle of

opposite = 3 meters

adjacent = distance into the lot = ?

hypotenuse = Maura's drive way = ?

angle of depression = 40

The length of the drive way

sin 40 = 3 / hypotenuse

hypotenuse = 3 / sin 40

hypotenuse = 4.667 m

The distance from the garage to the lot

tan 40 = 3 / adjacent

adjacent = 3 / tan 40

adjacent = 3.575 m

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The correct equation is tan θ = 6 / 13, and the value of angle θ will be 24.775°. Then the correct option is C.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The right-angle triangle is shown below.

The length of the perpendicular is 6 cm and the length of the base is 13 cm. Then the angle θ is written as,

tan θ = P / B

tan θ = 6 / 13

Simplify the equation to get the value of the angle θ will be given as,

tan θ = 6 / 13

tan θ = 0.4615

θ = 24.775°

The correct equation is tan θ = 6 / 13, and the value of angle θ will be 24.775°. Then the correct option is C.

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The percent of men are between 64 and 66. 5 inches tall is 13.59%

The distribution of heights of adult american men is approximately normal with mean 69 inches

Standard deviation 2. 5 inches.

13.59%.  66.5 inches is 1 standard deviation shorter than the mean, while 64 inches is 2 standard deviations from the mean.  looking at a graph of the normal distribution, 13.59% of samples will fall between 1 and 2 standard deviations below the mean.

Therefore, the percent of men are between 64 and 66. 5 inches tall is 13.59%

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[tex]2^{10}\cdot 2^{15}\implies 2^{10+15}\implies 2^{25}\implies 2^{5\cdot 5}\implies (2^5)^5\implies {\Large \begin{array}{llll} 32^5 \end{array}}[/tex]

Answer:

the answer is 88.36 inches

Step-by-step explanation:

because he wants a square painting and the painting each side length is 9.4 so, we use the formula l square and we get the answer

The volume of a pyramid with a square base, where the area of the base is 8. 3m² and the height of the pyramid is 9. 8 m is 222.7m³

Given,

Each length (l) of the base of the pyramid = 8.3 m

Height(h) of the pyramid = 9.8m

We need to find the volume of the pyramid.

Formula

Volume of the pyramid = 1/3 ×area of the base×height

Area of the base =  l²

Now,

The volume of the pyramid = 1/3 ×l²×h

= 1/3 ×8.3²×9.8 cube inch = 222.7 cube meter(approx)

Therefore, the volume of a pyramid with a square base, where the area of the base is 8. 3m² and the height of the pyramid is 9. 8 m is 222.7m³

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The rate of change of area is given as 27 π. The time at which radius of circle is increasing is 1.386 sec and change in radius is 3 cm.

What is rate of change?

The rate of change function is defined as the rate at which one quantity is changing with respect to another quantity. In simple terms, in the rate of change, the amount of change in one item is divided by the corresponding amount of change in another.

a) Given, radius of circle = 9 cm

rate of change of radius = 3/2

We know area of circle = πr^2

change in area =2πrr'

we get  2×π×9×2/3=27π

B) Given,

g(t) = 12 - 12e^0.5t

derivate it

g'(t) =-12×-1/2e^t/2

g'(t)=3

3= 6e^t/2

t = 1.386

c) f1(t) = t2-4t+4.

Integrate it we get

radius =3.

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Any two triangles must meet a number of requirements in order for congruence to be established. In order for two triangles to be similar:

Investigation is required to determine whether the triangles in the preceding diagram, ABC and CDA, are congruent. Considering the diagram

The two triangles share side AC.

Side BC equals Side AD (given)

Angle DAC equals angle ACD (alternate angles as depicted in the diagram)

Therefore, ABC and CDA are congruent because both triangles' two sides and an included angle (SAS) are equivalent.

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The question is incomplete. Completed question is given below;

Based on the given information in the figure at the right, how can you justify that triangle ABC is congruent to triangle CDA?ASA, SSS, AAS, SAS

Figure is attached

The density function for the distance between the ambulance and the accident is  equal to  2(l-a) / l².

As given in the question,

Let 'x' and 'y' represents the position of the ambulance and location of the accident on the road.

Both variables are independent .

f(x, y)=  [tex]F_{x} (x) F_{y} (y)[/tex]

        = ( 1/l² ) for ( x, y ) ∈ 9 0, l²

Distance between the ambulance and the accident is

Z : ( x- y)

P ( z≤ a) = 1 -P ( z >a)

            = 1 - ( l - a)² / l²

Density function is given  y :

[tex]f_{z}(a)[/tex] = d/da [ 1 - ( l - a)² / l² ]

        = -2( l - a) / l² ( -1)

        = 2( l - a) / l²

Therefore, for the given condition the distance between the  ambulance and the accident is given by [tex]F_{z}(a)[/tex] = 2(l-a) / l².

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Answer:360ml

Step-by-step explanation:

400/10=10%=40

400-40=360ml

The probability that the sample contains 1 or more rotten oranges be, 1/8.

Given, a customer at cavallaro's fruit stand picks a sample of 3 oranges at random from a crate containing 40 oranges, of which 5 are rotten.

we have to find the probability that the sample contains 1 or more rotten oranges,

first we will find the probability that the sample contains no rotten oranges,

P(E) = 35/40

P(E) = 7/8

Now, the probability that the sample contains 1 or more rotten oranges be,

1 - 7/8

P(E) = 1/8

Hence, the probability that the sample contains 1 or more rotten oranges be, 1/8.

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The main advantage of using a graphic calculator is that it speeds up the process of solving more difficult arithmetic problems for students.

A graphing calculator, often known as a graphics calculator or graphic display calculator, is a portable computer that can plot graphs, solve many equations at once, and carry out other variable-related activities. The most common graphing calculators are programmable calculators, which let the user design unique programs, generally for scientific, technical, or educational purposes. They feature big screens that show computations and several lines of text.

Numerous graphing calculators may be connected to sensors such as accelerometers, electronic thermometers, pH meters, weather stations, decibels, light meters, and other devices to operate as data recorders and as monitoring, polling, and communication tools with teachers. The use of such data in student laboratory tasks improves their understanding of math, particularly statistics and mechanics. 

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The percentage of 2000 from 50000 is 4%.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.

The percentage of 2000 from 50000 will be:

= 2000/50000 × 100

= 4%

The percentage is 4%.

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The maximum absolute values of the shear and bending moments are

Cy = 1800 lbs

Ay = 4800 lbs

Max absolute BM = 14400 lbs-feet

Given,

Draw the shear and bending moment diagrams for the beam and the indicated loading, and then figure out the highest absolute values of the shear and bending moment.

(a) The shears and bending-moment diagrams,

Ay + Cy = 800 * 9 - 600

Ay + Cy = 6600 lbs

Ay

∑Ma = 0

Cy * 15 + 600 * 9 = 800 * 9²/2

Cy = 1800 lbs

Ay = 4800 lbs

(b) Determine the maximum absolute values of the shear and bending moment,

Map absolute B.M:

Map positive B.M occurs, when SF = 0 is at 'x'

4800 - 800x = 0

     x = 6ft

Positive map = 4800 * 6 = 800 * 6²/2

Max absolute BM = 14400 lbs-feet and it developed at 6ft from support A.

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Answer:

x = 6

Step-by-step explanation:

3x - 1 = 34/2

3x - 1 = 17

3x = 17 + 1

3x = 18

3/3 x = 18/3

x = 6

The problem is saying there are two distinct zeros, and both are strictly lie between 0 and 1. The least positive integer value of "a" is 5 for which such a polynomial exists.

Let f(x) = ax² - bx + c , be our polynomial.

where a,b are integers coefficient and c constant. It has two distinct real roots lying between 0 and 1. f(x) can be written as, f(x) = a(x−α)(x−β)

where α and β are the roots of the equation.

we can be observed that f(0)f(1) > 0

As a,b and c are integers f(0)f(1) > 1

f(0) = aαβ , f(1)=a(1−α)(1−β)

=> a²(α)(1−α)(β)(1−β) > 0 -------(1)

Using A.M ≥ G.M, we get

(α+1−α+β+1−β)/4 > (αβ(1−α)(1−β))¹/⁴

Arithmetic Mean and Geometric Mean cannot be equal because the equation has distinct roots.

a²/16 > a²(αβ(1−α)(1−β)).

=> a²/16 > 1

=> a > 4

Therefore, the minimum value of 'a' is 5

The discriminant of the equation,

Δ = b²−4ac ≥ 0

=> b² >20c

consider the minimum value of c = 1,

we get b² >20

=> Minimum Value of b = 5.

Hence, the least positive integer of 'a' is 5.

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Answer: A) Juan buys 3 packs of markers. Each pack has 6 markers. How many markers does Juan buy in all?

Answer: A) Juan buys 3 packs of markers. Each pack has 6 markers. How many markers does Juan buy in all?

The decay rate for the resale price of laser cutting tool will be -121000[tex]e^{-0.22t}[/tex]

Let R is the resale value of a particular type of laser cutting tool after years

Where, R(t) = 550000[tex]e^{-0.22t}[/tex]

Rate at which the resale value is changing will be dR/dt = 550000[tex]e^{-0.22t}[/tex](-0.22)= -121000[tex]e^{-0.22t}[/tex]

Initial value of the laser cutting tool, at time ‘t’ =0 will be 550000[tex]e^{-0.22t}[/tex]x0 = 550000

At time ‘t’ resale value is 550000 [tex]e^{-0.22t}[/tex]

Therefore, the decay in resale price = 550000 - 550000 [tex]e^{-0.22t}[/tex]

Therefore, the decay rate = (550000 - 550000 [tex]e^{-0.22t}[/tex])/t = 550000(1-[tex]e^{-0.22t}[/tex])/t

As we have dR/dt = R’ = -121000[tex]e^{-0.22t}[/tex]

Therefore, R’(10) = -121000[tex]e^{-2.2}[/tex] = -13407.18

Therefore, after 10 years the resale price will be -13407.18

R’(20) = -121000[tex]e^{-4.4}[/tex]= -1485.55

Therefore, after 20 years the resale price will be -1485.55

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The value of x is 128, for equations x/2=y² and x/4=4y

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

Given,

x/2=y²...(1) and

x/4=4y ...(2)

We need to find value of x and  x not equal to zero

x=2y²

Substitute in equation 2

2y²/4=4y

y²/2=4y

y/2=4

y=8

Now substitute in equation 2

x/4=4(8)

x/4=32

x=128

Hence the value of x is 128, for equations x/2=y² and

x/4=4y

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Option A, which states that the ordered pair of point P' will be, is the appropriate response (-8.75, 5.25).

Given,

A scaling factor of 7/4 is used to enlarge the pentagon in the OPQRS.

In order to generate O'P'Q'R'S, we must identify the ordered pair of point P'.

Here,

To obtain the coordinates of P', multiply the coordinates of point P by the scale factor 7/4.

P(-5,3)

P' (x, y) = P (-5 x 7/4, 3 x 7/4).

= P(-8.75, 5.25) 

As a result, option A, which states that the ordered pair of point P' will be, is the appropriate response (-8.75, 5.25).

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The question is improper. Proper question is given below;

If pentagon OPQRS is dilated by a scale factor of 7/4 from the origin, to create O’P’Q’R’S’, what is the ordered pair of point P’?

A. (-8.75, 5.25)

B. (-1.25, 0.75)

C. (-3.5, 8.75)

D. (-1.75, 3.5)

The probability of choosing a person at random who is a junior and plays video games is of:

0.32 = 32%.

These are non-independent events.

A probability in the context of a problem is given by the division of the number of desired outcomes by the number of total outcomes.

For the probability in the context of this problem, the outcomes are given as follows:

Hence the probability is of:

p = 48/150 = 0.32 = 32%.

The probability of being a junior is of:

60/150 = 6/15.

The probability of playing videogames is of:

99/150

The multiplication of these probabilities is of:

6/15 x 99/150 = 0.264.

Different than 0.32, hence these two events are not independent.

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The quotient of of x³ + 1 divided by x² - x + 1 is x + 1

Given,

The polynomial function; x³ + 1 and x² - x + 1

We have to find the quotient of x³ + 1 divided by x² - x + 1

Polynomial function;-

In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1.

Here,

Divide x³ + 1  by x² - x + 1

x² - x + 1 ) x³ + 1        (x + 1 ⇒ Quotient

               x³ - x² + x

             0 + 1 + x² - x

            0 + 1 + x² - x

                          0   ⇒ Remainder

That is,

The quotient of of x³ + 1 divided by x² - x + 1 is x + 1

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As per the given differential equation, the minimum radius of convergence R of power series solutions about the ordinary point x = 0 is 9 and that about the ordinary point x = 1 is 10 units.

Differential equation:

Differential equation refers the equation which contains one or more terms and the derivatives of one variable with respect to the other variable

And it can be written as,

=> dy/dx = f(x)

Given,

The given differential equation is  (x² - 81)y"+ 7xy' + y = 0 R = 9 (x = 0) R = (x = 1).

Now we have to find the minimum radius of convergence R of power series solutions about the ordinary point x = 0 and x = 1.

Here we know that the minimum radius of convergence is defined as the distance between the ordinary point and the singularity of the differential equation.

And the Singularity point is the root of the polynomial attached with the second derivative. So, the singularity points will be calculated as,

=> x² - 81

=> (x + 9) (x - 9)

=> x = 9, - 9

So, the singularity points are 9, - 9.

So, the minimum radius of convergence can be calculated as,

Now, the ordinary points are 1 + 0i  and 1 - 0i.

So,

=> r1 = | 1 + 0i - 9|

=> r1 = 9

=> r2 = | 1 + 0i + 9|

=> r2 = 10

Therefore, the minimum radius of convergence R of power series solutions about the ordinary point x = 0 is 9 and that about the ordinary point x = 1 is 10 units.

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The loop will be written in Matlab.

Simply setting the years' range will allow the for loop to run its course and complete the task. To allow the loop to iterate from 1 to the number of years, we add the expression 1:number years.

function savingsBalance = CalculateBalance(numberYears,savingsBalance)

% numberYears: Number of years that interest is applied to savings

% savingsBalance: Initial savings in dollars

interestRate = 0.025;  

% 2.5 percent annual interest rate

% Complete the for loop to iterate from 1 to numberYears (inclusive)

for n = 1:numberYears

savingsBalance = savingsBalance + (savingsBalance * interestRate);

end

end

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By using the formula for the distance between the two points, it is found that S could lie on the perpendicular bisector QR.

Distance between points:

The distance between two points, (x1,y1) and (x2,y2) is calculated as,

D = √(x2 - x1)² + (y2 - y1)²

Given,

Here we have the coordinates: Q(-5, 4), R(8, -3), S(-2,-5)

Now, we have to determine if S could lie on the perpendicular bisector of QR with the given coordinates.

Here we have the endpoints are: Q(-5, -1), R(3, 7)

Point S is (4,-2).

The distance of S to Q is calculated as,

D = √(4 - (-5))² + (-2 - (-1))²

D = √82

Now, the distance of S to R is calculated as,

D = √(4 - 3)² + (-2 - 7)²

D = √82

Both have the Same distance, thus states the S could lie on the perpendicular bisector QR.

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Yes, you can be confident that your portfolio will not lose more than 30% in value over the next year.

the reason is

For this question, the portfolio has an average return of 12.5% ​​with a standard deviation of 19.5%. It is estimated that next year will be a 30% loss. Confidence intervals are 95%.

Range = Average return ± 2 x Standard deviation Low aid = 12.5% - (2 x19.5%) =12.5% -39% = -26.5%

High end = 12.5% +(2 x19.5%) =12.5%+39% = 51.5%

Thus, the low end is 26.5%

Returns range from -26.5% to 51.5% with 95% confidence intervals

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