A cell tower is capable of providing a signal to cell phone users within a 30 mile radius.

One-auarter of this area however has device

Round to the Nearest Tenth

Answer:

what's the question.

Step-by-step explanation:

lol

Answer:

whats the question of the test

Step-by-step explanation:

Answer:

A= 10

Step-by-step explanation:

[10 + 2/360˚(10)]

the directional derivative of the given function

\(f(x,y)={x^ 2y^3+2]xy−3}\) in the direction of (3,4) at the point P=(1,−1) is 6.8 units.

It is possible to calculate directional derivatives by utilizing the formula below:

\($$D_uf(a,b)=\frac{\partial f}{\partial x}(a,b)u_1+\frac{\partial f}{\partial y}(a,b)u_2$$\)

\($$f(x,y)\)

=\({(x^ 2)(y^3)+2]xy−3}$$$$\frac{\partial f}{\partial x}\)

=\(2xy^3y+2y-\frac{\partial f}{\partial y}\)

=\(3x^2y^2+2x$$$$\text{Direction vector}\)

=\(\begin{pmatrix} 3 \\ 4 \end{pmatrix}$$\)

To obtain the unit vector in the direction of the direction vector, we must divide the direction vector by its magnitude as shown below:

\($$\mid v\mid=\sqrt{3^2+4^2}=\sqrt{9+16}=\sqrt{25}=5$$\)

\($$\text{Unit vector}=\frac{1}{5}\begin{pmatrix} 3 \\ 4 \end{pmatrix}=\begin{pmatrix} \frac{3}{5} \\ \frac{4}{5} \end{pmatrix}$$\)

Now let us compute the directional derivative as shown below:

\($$D_uf(1,-1)=\frac{\partial f}{\partial x}(1,-1)\frac{3}{5}+\frac{\partial f}{\partial y}(1,-1)\frac{4}{5}$$\)

\($$D_uf(1,-1)=\left(2(-1)(-1)^3+2(-1)\right)\frac{3}{5}+\left(3(1)^2(-1)^2+2(1)\right)\frac{4}{5}$$$$D_uf(1,-1)=\frac{34}{5}$$\)

Hence, the directional derivative of the given function

\(f(x,y)={x^ 2y^3+2]xy−3}\)

in the direction of (3,4) at the point P=(1,−1) is 6.8 units.

To know more about vector visit:

https://brainly.com/question/24256726

#SPJ11

The value of each trigonometric identity is:

3/2

5/6

14/3

We have,

We will use the trigonometric formula and substitute the given values.

So,

Cosec θ

This can be written as,

= 1/ sin θ

= 1/(2/3)

= 3/2

And,

Sin θ

This can be written as,

= 1/ cosec θ

= 1/(6/5)

= 5/6

And,

Sec θ

This can be written as,

= 1/cosθ

= 1/(3/14)

= 14/3

Thus,

The value of each trigonometric identity is:

3/2

5/6

14/3

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

#SPJ1

Answer:

hii there

heres your answer

AB = ?

AC = 48

BC = 14

by applying the pythagoras theorem , we get

(AC)2 = ( AB )2 + ( BC )2

( 48 )2 = ( AB )2 + ( 14 )2

Now we have to take the BC value and minus it with the value of AC coz we dont have the value of AB

we have to do this method when we have to find the value of AB or BC

then we get

( 48 )2 - ( 14 )2 = AB2

( 2304 )2 - ( 196 )2 = AB2

2108 = AB2

Now we have to take square root of 2108 so we will have the value of AB

we get

root 2108 = AB2

AB = 45.91

IT means your length for "c" is 45

hope it helps

have a nice day : )

hi ! I hope this is helpful

Answer:

Step-by-step explanation:

3*2+3*8+2-2*5=6+24-10+2=22

Answer:

0.5844

Step-by-step explanation:

Answer:

0.5844 just use a calculator

Answer:

\(\huge\boxed{\text{To get x on one side of the equation:} \ \ x = ...}\)

Step-by-step explanation:

When we solve for an equation, our goal is to find the value of the variable. Any variable can be used, but for the time being let’s assume we use \(x\).

We can algebraeically solve equations until we get the value of x - in which we will have x equal to something.

Say we have the equation \(5x+5=20\). Our goal is to find the value of \(x\). We can do this by getting x isolated on one side so we have something equal to x.

We can subtract 5 from both sides and divide both sides by 5.

\(5x=15\\\\x=3\)

We now know the value of \(x\) since it’s on one side of the equation.

Hope this helped!

The area of the region under the parabola y = 5x - x^2, where 1 ≤ x ≤ 4, is 14.33 square units.

To find the area under the parabola, we need to integrate the equation y = 5x - x^2 with respect to x over the given interval [1, 4]. The integral represents the area between the curve and the x-axis.

Integrating y = 5x - x^2 gives us the antiderivative F(x) = (5/2)x^2 - (1/3)x^3 + C, where C is the constant of integration. To find the definite integral over the interval [1, 4], we evaluate F(4) - F(1).

F(4) = (5/2)(4)^2 - (1/3)(4)^3 + C = 40 - (64/3) + C

F(1) = (5/2)(1)^2 - (1/3)(1)^3 + C = 5 - (1/3) + C

Substituting these values into the definite integral expression, we have:

Area = F(4) - F(1) = (40 - (64/3) + C) - (5 - (1/3) + C)

= 14.33

The area of the region under the parabola y = 5x - x^2, where 1 ≤ x ≤ 4, is approximately 14.33 square units.

To know more about parabola, visit;
https://brainly.com/question/12793264
#SPJ11

Answer:

the one on the bottom row is that graph that represents a function.

Step-by-step explanation:

Answer:

-44

Step-by-step explanation:

Using distribute property of multiplication

=> \(7\sqrt{5} + (\sqrt{5} )^2-49-7\sqrt{5}\)

(\(7\sqrt{5}\) will be cancelled with each other)

=> 5 - 49

=> -44

For given average temperatures and °C=5/9°F-32 C represents temperature unit in celsius.

What is average?

In Maths, an average of a list of data is the expression of the central value of a set of data. Mathematically, it is defined as the ratio of summation of all the data to the number of units present in the list. In terms of statistics, the average of a given set of numerical data is also called mean. For example, the average of 2, 3 and 4 is (2+3+4)/3 = 9/3 =3. So here 3 is the central value of 2,3 and 4.  Thus, the meaning of average is to find the mean value of a group of numbers.

Average = Sum of Values/Number of Values

Also

Suppose, we have given with n number of values such as x1, x2, x3 ,….., xn. The average or the mean of the given data will be equal to:

Average = (x1+x2+x3+…+xn)/n

Now,

Given formula

°C=5/9°F-32, C represents  where °c is temperature unit in Celsius and

°F represents unit of temperature in Fahrenheit.

To know more about average visit the link

https://brainly.com/question/27193544?referrer=searchResults&source=aidnull

#SPJ1

(a) The system of three inequalities to represent this situation is:

x + y ≤ 10 (maximum of 10 people)

x ≥ 3 (at least 3 women)

y ≥ 4 (at least 4 men)

To represent the given situation, we need to establish the constraints for the number of women (x) and men (y) in the group. The first inequality, x + y ≤ 10, ensures that the total number of people does not exceed 10, as the travel agent can make arrangements for a maximum of 10 people. The second inequality, x ≥ 3, guarantees that there are at least 3 women in the group. Similarly, the third inequality, y ≥ 4, ensures that there are at least 4 men in the group.

(b) To graph the feasible region, we plot the inequalities on a coordinate plane. The feasible region represents the set of points (x, y) that satisfy all the given inequalities simultaneously. In this case, the feasible region would be the area bounded by the lines x + y = 10, x = 3, and y = 4, along with the non-negative axes.

(c) The objective function that represents profit in terms of x and y is:

Profit = 12.25x + 15.40y

(d) To find the combination of men and women that gives the maximum profit, we substitute the coordinates of the vertices of the feasible region into the profit equation and calculate the profit for each vertex. The maximum profit will be obtained at the vertex that yields the highest value. By evaluating the profit equation at three vertices, we can determine the maximum profit and the corresponding number of men and women.

Learn more about Inequalities

brainly.com/question/20383699

#SPJ11

Step-by-step explanation:

e = 129° ( being vertically opposite angle )

Now ,

f + 129° = 180° ( being the angle in linear pair )

Again ,

d + 90° = 180° ( being the angle in linear pair )

d = 180° - 90°

d = 90°

☘️☘️☘️ ...

Answer:

d = 90° , e = 129° , f = 51°

Step-by-step explanation:

d and 90° are a linear pair and sum to 180° , that is

d + 90° = 180° ( subtract 90° from both sides )

d = 90°

e and 129° are vertically opposite angles and are congruent , then

e = 129°

f and 129° are a linear pair and sum to 180° , that is

f + 129° = 180° ( subtract 129° from both sides )

f = 51°

Answer:

the ratio is 12:5

Step-by-step explanation:

48:20 divided in half 24:10 divided in half 12:5

The arithmetic mean annual rate of return for each stock is as follows:

- Stock T: 6.6%

- Stock B: 4.2%

Based on the arithmetic mean annual rate of return, Stock T is more desirable because it has a higher average return compared to Stock B.

To calculate the standard deviation of the annual rate of return for each stock, we can use the following steps:

1. Calculate the difference between each annual return and the mean return for that stock.

2. Square each difference obtained in step 1.

3. Calculate the average of the squared differences.

4. Take the square root of the average obtained in step 3.

After performing these calculations, we find the standard deviations for each stock:

- Stock T: 7.583%

- Stock B: 5.067%

By this measure, Stock B is the preferable stock since it has a lower standard deviation, indicating lower volatility compared to Stock T.

The coefficient of variation for each stock is calculated by dividing the standard deviation by the mean and multiplying by 100. The formula is:

Coefficient of Variation = (Standard Deviation / Mean) * 100

Calculating the coefficient of variation for each stock, we get:

- Stock T: 114.924%

- Stock B: 120.641%

By this relative measure of risk, Stock T is the preferable stock since it has a lower coefficient of variation, indicating relatively less risk compared to Stock B.

Finally, to calculate the geometric mean rate of return for each stock, we multiply all the annual rates of return together and take the nth root, where n is the number of years. The formula is:

Geometric Mean = (1 + r1) * (1 + r2) * ... * (1 + rn)^(1/n) - 1

Calculating the geometric mean rate of return for each stock, we find:

- Stock T: 2.84%

- Stock B: 1.91%

To know more about coefficient of variation, refer here:

https://brainly.com/question/31967480#

#SPJ11

Answer:

c is the correct answer i took the test

Step-by-step explanation:

The gender that shows greater variability in their playing time is C. Girls show greater variability because the interquartile range for girls is 12 for girls but only 8 for boys.

For the males, the interquartile range will be:

= Third quartile - First quartile

= 17 - 9

= 8

For the females, the interquartile range will be:

= Third quartile - First quartile

= 15 - 3

= 12

Therefore, girls show greater variability because the interquartile range for girls is 12 for girls but only 8 for boys.

Learn more about interquartile range on:

https://brainly.com/question/4102829

#SPJ2

Answer:

The numerator is x²+6x+5.

We need to first factorise the expression

The coefficient of x² is 1, and the constant term of the quadratic expression is 5.

the product of coefficient of x² and constant term=5

∴ we break the middle term, 6x, such that,  the product of the coeffcients of  the two terms is 5, while their sum is 6

∴ 6x=5x+x

Now, rewriting the expression,

x²+5x+x+5

Taking x as common factor in x² and 5x,

x(x+5)+x+5

Again, taking x+5 as the common factor,

(x+5)(x+1)

Now, replacing x²+6x+5 with (x+5)(x+6) in the expression,

(x+5)(x+1)/(x+2)

Hence the value of the expression is (x+5)(x+1)/(x+2)

For more on factorisation,

https://brainly.com/question/20293447?referrer=searchResults

https://brainly.com/question/25720112?referrer=searchResults

The correct answer is options 1 and 4: w/x divided by y/z is equivalent to X/w x z/y.

To determine which of the given options is equivalent to w/x divided by y/z, let's simplify each option step by step:

w/x divided by y/z:

(w/x) / (y/z) = (w/x) * (z/y) = wz / xy

X/w x y/z:

(x/w) * (y/z) = xy / wz

X/w x z/y:

(x/w) * (z/y) = xz / wy

W/x x z/y:

(w/x) * (z/y) = wz / xy

X/w divided by z/y:

(x/w) / (z/y) = (x/w) * (y/z) = xy / wz

Comparing the simplified expressions, we can see that options 1 and 4 both simplify to wz / xy, while options 2, 3, and 5 do not.

For more such questions on divided

https://brainly.com/question/25289437

#SPJ8

We can use trigonometry to find the height of the water slide.

Let's call the height of the starting point of the water slide "h". We can then use the tangent function:

tan(49°) = h / 89

We can solve for "h" by multiplying both sides by 89:

h = 89 * tan(49°)

Using a calculator, we get:

h ≈ 94.29 feet

Therefore, the starting point of the water slide is about 94.29 feet above the ground.

Answer:

We can use trigonometry to solve this problem. Let's call the height we want to find "h." Then we can use the tangent function:tan(49) = h/89To solve for "h," we can multiply both sides by 89:89 tan(49) = hUsing a calculator, we get:h ≈ 94.6 feetSo you start your ride about 94.6 feet above the ground.

Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

Answer: I believe is the first one

Step-by-step explanation:  It says animal in hundreds right. so looking at it 200 animals is right. But also x = 2 and y = 12

Hope this helps I'm sorry if it does not help

Answer:

At approximately x = 0.08 and x = 3.92.

Step-by-step explanation:

The height of the ball is modeled by the function:

\(f(x)=-16x^2+64x+5\)

Where f(x) is the height after x seconds.

We want to determine the time(s) when the ball is 10 feet in the air.

Therefore, we will set the function equal to 10 and solve for x:

\(10=-16x^2+64x+5\)

Subtracting 10 from both sides:

\(-16x^2+64x-5=0\)

For simplicity, divide both sides by -1:

\(16x^2-64x+5=0\)

We will use the quadratic formula. In this case a = 16, b = -64, and c = 5. Therefore:

\(\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)

Substitute:

\(\displaystyle x=\frac{-(-64)\pm\sqrt{(-64)^2-4(16)(5)}}{2(16)}\)

Evaluate:

\(\displaystyle x=\frac{64\pm\sqrt{3776}}{32}\)

Simplify the square root:

\(\sqrt{3776}=\sqrt{64\cdot 59}=8\sqrt{59}\)

Therefore:

\(\displaystyle x=\frac{64\pm8\sqrt{59}}{32}\)

Simplify:

\(\displaystyle x=\frac{8\pm\sqrt{59}}{4}\)

Approximate:

\(\displaystyle x=\frac{8+\sqrt{59}}{4}\approx 3.92\text{ and } x=\frac{8-\sqrt{59}}{4}\approx0.08\)

Therefore, the ball will reach a height of 10 feet at approximately x = 0.08 and x = 3.92.

Answer:

49

Step-by-step explanation:

10 to 23 is 13, and 23 to 36 is 13. so you just add 13 to 36 to get 49

The answer is x<20. Hope that helps.

Answer:

x ≤ 20

Step-by-step explanation:

Subtract 66 from both sides.

16 − 6 ≥ x/2.

Simplify  16 − 6 = 10.

10 ≥ x/2.

Multiply both sides by 22.

10 × 2 ≥ x.

Simplifiy 10 x 2 = 20.

20 ≥ x.

Switch sides.  

x ≤ 20.

Answer:

0.027

Step-by-step explanation:

Answer:Speed of the cheetah in miles per hour 28m 1 mile 3600 s 63 miles ... in 2.5 hours. What is the train's average speed? 90 Km/h. 17. An airplane travels 3,260 ...

Step-by-step explanation: