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The calculated distance is approximately 14.21 miles, which is less than the 15-mile radius of the cell tower. Therefore, you are within the region served by the tower.

To determine if you are within the region served by the cell tower, we can calculate the distance between your location and the tower using the Pythagorean theorem. According to the given information, you are 9 miles east and 11 miles north of the cell tower.

Using the Pythagorean theorem, the distance from your location to the cell tower can be calculated as follows:

Distance = √((east distance)^2 + (north distance)^2)

        = √((9 miles)^2 + (11 miles)^2)

        = √(81 + 121)

        = √202

        ≈ 14.21 miles

The calculated distance is approximately 14.21 miles, which is less than the 15-mile radius of the cell tower. Therefore, you are within the region served by the tower.

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The actual average time spent playing outdoors by 10-year-old American children could be 2.67 minutes higher or lower than the reported range of 20.02 to 25.36 minutes.

The margin of error in the report stating that a 10-year-old American child spends an average of 20.02 to 25.36 minutes playing outdoors per day can be calculated by subtracting the lower value from the higher value and dividing by 2. In this case, the margin of error is :

To find the margin of error, we need to calculate the halfway point between these two values.
(25.36 - 20.02) / 2 = 2.67

Therefore, the margin of error is approximately 2.67 minutes. This means that the actual average time spent playing outdoors by 10-year-old American children could be 2.67 minutes higher or lower than the reported range of 20.02 to 25.36 minutes.

Thus, the actual average time spent playing outdoors by 10-year-old American children could be 2.67 minutes higher or lower than the reported range of 20.02 to 25.36 minutes.

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Answer:

The third answer is correct.

Step-by-step explanation:

You are going to translate the smaller quadrilateral (4 sided figure) to the larger quadrilateral.  Then you need the scale factor from the smaller figure to the larger.  

Side EF times the scale factor will give you side AB.  Let's call the scale factor s then our equation would be:

EF x s = AB  To find s divide both sides by EF

\(\frac{EF(s)}{EF}\) = \(\frac{AB}{EF}\)

s = \(\frac{AB}{EF}\)  This is our scale factor.

Helping in the name of Jesus.

Answer:

the number 3 is being subtracted from it because you want to get by itself

Answer:

T' = (-5,1)

R' = (-1,-1)

Step-by-step explanation:

(x-4,y+2)

T(-1,-1)=(-1-4,-1+2)=(-5,1)

T'=(-5,1)

R(3,-3)=(3-4,-3+2)=(-1,-1)

R'=(-1,-1)

hi I'm from shadow Ridge and I'm smart.

Answer:

The given expression in simplified form is: \(15x^2+10x\)

Step-by-step explanation:

Simplifying the expression involve reducing the number of terms to minimum and making the expressions in standard form.

This may involve addition, subtraction and multiplication of variables.

Given expression is:

\(5x(3x+2)\)

Distributing 5x will give us:

\(= 5.3.x.x + 5.2.x\\=15x^2+10x\)

Hence,

The given expression in simplified form is: \(15x^2+10x\)

Answer:

2500

so first you have to 100x 10 then times 2.5

Step-by-step explanation:

Finding the union of the sets A and C is the first step in solving P(A U C). Since set C only contains the number 6, the union of A and C has the elements 1, 2, 3, 4, and 6. A U C thus equals 1, 2, 3, 4, and 6.

The power set of A U C, which comprises all conceivable subsets of 1, 2, 3, 4, and 6, must then be located. If all conceivable subsets are listed, the power set of A U C, designated as P(A U C), will be discovered.

P(A U C) = { {}, {1}, {2}, {3}, {4}, {6}, {1,2}, {1,3}, {1,4}, {1,6}, {2,3}, {2,4}, {2,6}, {3,4}, {3,6}, {4,6}, {1,2,3}, {1,2,4}, {1,2,6}, {1,3,4}, {1,3,6}, {1,4,6}, {2,3,4}, {2,3,6}, {2,4,6}, {3,4,6}, {1,2,3,4}, {1,2,3,6}, {1,2,4,6}, {1,3,4,6}, {2,3,4,6}, {1,2,3,4,6}}.

There are 31 subsets in the power set P(A U C) that result from the union of sets A and C.

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Answer:For random variable X~N(3,0.75), what is the probability that X takes on a value within two standard deviations on either side of the mean?

Step-by-step explanation:

The values of a= 2, b= -12 and c= 5.

Quadratics are polynomial equations of the second degree, which means that they contain at least one squared term.

Quadratic equations are another name for it.

The general form of the quadratic equation is: ax² + bx + c = 0. where x is an unknown variable and a, b, c are numerical coefficients.

Given:

Equation: 2x² = 12x - 5

Rewriting the equation

2x² - 12x + 5 =0

We know that the standard form of Quadratic Equation is

ax² + bx + c = 0

where a, b, and c are integers and a ≠ 0.

Now, Comparing the standard equation with Given equation we get

a= 2, b= -12, c= 5

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Answer:

7 cm to 1 decimal place

Step-by-step explanation:

We need to know one formula in order to solve this question and it's the volume of a cylinder formula which is π × r² × h where 'r' is the radius and 'h' is the height, we want to work out the radius not the volume so we have to set up an equation to solve for the radius given the information that the volume of the cylinder is 4620 cm³ and the height is 30cm so

→ Step 1 form the equation

π × r² × h = 4620

→ Step 2, substitute in the values in this case we only need to substitute in the height

π × r² × 30 = 4620

→ Step 3, divide 30 from both sides to isolate π and r²

π × r² = 154

→ Step 4, divide both sides by π to isolate r²

r² = 154 ÷ π

r² = 49.0197224723

→ Step 5, square root both sides to isolate 'r'

r = 7.0014086063

So the radius of the cylinder is 7 cm to 1 decimal place

Answer:

7.00 cm.

Step-by-step explanation:

V = π r^2 h so

r^2  = V / π h

r = +√(V / πh)

r =  +√( 4620 / 30π)

r = 7 .00cm.

Answer:

SA = 94 ft²

Step-by-step explanation:

To find the surface area of a rectangular prism, you can use the equation:

SA = 2 ( wl + hl + hw )

SA = surface area of rectangular prism

l = length

w = width

h = height

In the image, we are given the following information:

l = 4

w = 5

h = 3

Now, let's plug in the information given to us to solve for surface area:

SA = 2 ( wl + hl + hw)

SA = 2 ( 5(4) + 3(4) + 3(5) )

SA = 2 ( 20 + 12 + 15 )

SA = 2 ( 47 )

SA = 94 ft²

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The measure of length RQ and RS are 3.

We have,

∠QRS = 90

QS = 3√2

Now,

In ΔQRS,

From trigonometry,

Where the two angles are 45 and one angle is 90.

We know that,

RS = 1

QS = √2

RQ = 1

But,

QS = 3√2

This means,

We multiply 3 on all sides.

So,

RS = 3

QS = 3√2

RQ = 3

Thus,

The measure of length RQ and RS are 3.

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The annuity could pay $221.19 per month.

ANNUITY FORMULA: \(P_t=\frac{d\left[\left(1+\frac{s}{n}\right)^{n t}-1\right]}{\frac{s}{n}}\)

Where,

So,

Loren anticipates having $500,000 when he retires.

He establishes a 30-year payout annuity at a 10%interest.

Each month, the annuity could provide

In the formula, replace the above values as follows:

Now, divide both sides by: 2260.487925

Therefore, the annuity could pay $221.19 per month.

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The limit does not exist.

In order for such a limit to occur, the fraction \(\frac{x^{2} }{x^{2} +y^{2} }\) must be comparable to the same value \(L\), regardless of the way we take to get there \((0,0)\).

Try approaching \((0,0)\) along the x-axis.

This means setting \(y=0\) and finding the limit \(lim_{x-0} \frac{x^{2} }{x^{2} +y^{2} }\).

We obtain:

\(lim_{x-0,y=0}\frac{x^{2} }{x^{2} +y^{2} } =lim_{y=0}}\frac{x^{2} }{x^{2} +0 }\\=lim_{x-0}} \frac{x^{2} }{x^{2} } \\\\=lim_{x-0}}1\\=1\)

Now evaluate approaching \((0,0)\) along the y-axis.

This means setting \(x=0\) and finding the limit \(lim_{y-0} \frac{x^{2} }{x^{2} +y^{2} }\).

\(lim_{y-0,x-0} \frac{x^{2} }{x^{2} +y^{2} } =lim_{y-0} \frac{0}{0+y^{2} } \\=lim_{y-0} \frac{0}{y^{2} } \\=lim_{y-0} 0\\=0\)

Approaching the origin via these two methods results in distinct limits.

\(lim_{x-0,y-0} \frac{x^{2} }{x^{2} +y^{2} }\) ≠ \(lim_{y-0,x-0}\frac{x^{2} }{x^{2} +y^{2} }\)

Therefore the limit does not exist.

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The correct question is given below:

Find the limit, if it exists, or show that the limit does not exist.

\(lim_{(x,y) -(0,0)} \frac{x^{2} }{x^{2} +y^{2} }\)

Answer:

Step-by-step explanation:

Sale price = 5994

Loss % = 7.5%

Remaining % = 92.5%

Purchase price should be = 5994 / 92.5%

Purchase price will be = 6480

Loss is price will be = 6480 - 5994

Loss = 486

Answer:

the distance is 7 units

Step-by-step explanation:

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The cost of one kit is \((180+58.5p)\) dollars.

The \(3\)D printing industry has enjoyed great innovation and development over the years. One such innovation is the \(3\)D printing pen. It brings fun and usability to children, artists, hobbyists, and professional designers.

The gadget seems almost magical because you can literally draw a \(3\)D physical object in the air. Still, one still wonders, is the \(3\)D pen a toy or a serious tool? The real answer is that it can be either or both!

\(3\)D pens are not controlled by a computer or software, instead, they are controlled by your hand as you create a model taken from your imagination. Most \(3\)D printing pens are powered by batteries or a cable running into a USB port or wall outlet.

Given: An art club buys \(6\) identical sets \((180+58.5p)\) for dollars

We have to divide \((180+58.5p)\) by \(6\) to get the price of one set

=(180+58.5p)/6

=(30*6+9.75*p)/6

=6(30+9.75p)/6

=30+9.75p

Hence, the cost of one kit is \((180+58.5p)\) dollars.

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Answer:

106,624, hope this helps you :)

Step-by-step explanation:

Volume is multiplying

So you do 8 by 8 by 14 by 17 by 7.3 in

so the answer is

106,624

Answer: 1 1/2

Step-by-step explanation:

3/4+3/4=6/4=1 2/4=1 1/2

Answer:

1 1/2

Step-by-step explanation:

3/4+3/4 = 6/4 = 1 2/4 = 1 1/2

Lisa needs 39 cards to sell on Friday to make a profit.

Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.

Given that,

Lisa makes a profit when sells 140 cards.

Number of cards sold by Lisa from Monday to Thursday are 15, 7, 14, 45.

Total number of cards sold by Lisa from Monday to Friday = 15 + 7 + 14 + 45 = 81

Since, Lisa makes profit after selling 140 cards.

Therefore, Lisa needs to sell cards on Friday = 140 - 81 = 39

Hence, Lisa needs to sell 39 cards to make a profit.

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Answer:

A 13

Step-by-step explanation:

Add all the electoral votes together (266)

266 / 21 = 12.666 ~ 13

The median number of given electoral votes is equal to 15, as it is the value at the 5th position in the ordered data set.

To find the median number of electoral votes for the 21 states,

first need to arrange the data in ascending order:

Electoral votes: 10, 11, 12, 13, 15, 17, 20, 21, 27, 31, 34, 55

Frequency: 4, 4, 1, 1, 3, 1, 1, 2, 1, 1, 1, 1

Next, need to calculate the cumulative frequency (CF) by adding up the frequencies from the lowest electoral vote to the highest:

Cumulative frequency: 4, 8, 9, 10, 13, 14, 15, 17, 18, 19, 20, 21

The median is the middle value of the data set when it is arranged in ascending order.

Since we have 21 states, which is an odd number, the median will be the value at the 11th position (or 11/2 = 5.5th position).

To find the median, we look for the value at the 5th position (11/2 = 5.5):

Electoral votes: 10, 11, 12, 13, 15, 17, 20, 21, 27, 31, 34, 55

Position: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12

Therefore, the median number of electoral votes is 15.

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The function y(x) = c₁ cos 2x + c₂ sin 2x is a valid solution to the differential equation y'' + 4y = 0. The solution is valid for all values of x, unless specific initial conditions or constraints are given that limit its interval.

To verify if the given function y(x) = c₁ cos 2x + c₂ sin 2x is a solution to the differential equation y'' + 4y = 0, we need to substitute the function into the differential equation and check if it satisfies the equation for all values of x.

First, let's find the first and second derivatives of y(x):

y'(x) = -2c₁ sin 2x + 2c₂ cos 2x

y''(x) = -4c₁ cos 2x - 4c₂ sin 2x

Now, substitute y(x), y'(x), and y''(x) into the differential equation:

y''(x) + 4y(x) = (-4c₁ cos 2x - 4c₂ sin 2x) + 4(c₁ cos 2x + c₂ sin 2x)

= -4c₁ cos 2x - 4c₂ sin 2x + 4c₁ cos 2x + 4c₂ sin 2x

= 0

As we can see, the expression simplifies to zero, which means that y(x) = c₁ cos 2x + c₂ sin 2x is indeed a solution to the differential equation y'' + 4y = 0.

The maximum interval over which this solution is valid depends on the initial conditions or any other constraints provided in the problem. In general, since the given solution contains periodic functions (cosine and sine), it can be defined for all real values of x.

The complete question is:

For Problems 7-21, verify that the given function is a solu- tion to the given differential equation c₁ and c₂ are arbitrary constants), and state the maximum interval over which the solution is valid.

8. y(x) = c₁ cos 2x + c₂ sin 2x,  y'' + 4y = 0

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Answer:

Ohhh fancy Smart im not that smart LOL

Step-by-step explanation:

Have A Wonderful Day !!

Answer:

The model is made in a 1:40 ratio

Step-by-step explanation:

How many times is 4 multiplied to be equal to 160?

4(x) = 160

X = 160 / 4

X = 40

The proportion, rate, and ratio are almost the same.

They represent the correspondence between the parts and the whole since they all express a binary relationship between the quantities, that is, objects, people, tablespoons.

If the ratio is 1: 2 it could be read that for every 1 there are 2.

For example 1: 2 cups; For every cup of something there are 2 cups of something else.

In this case, 1:40; For every inch of the model, there are 40 feet in the playground.