f has a range of (-infinaty, 7),
and a graph that is symmetric
about the line x = 3, and has a
Y-intercept of 4

The rate (in km/h) at which the distance from the plane to the radar station is increasing a minute later is 0 km/h (rounded to the nearest whole number).

To solve this problem, we can use the concepts of trigonometry and related rates.

Let's denote the distance from the plane to the radar station as D(t), where t represents time. We want to find the rate at which D is changing with respect to time (dD/dt) one minute later.

Given:

The plane is flying with a constant speed of 360 km/h.

The plane passes over the radar station at an altitude of 1 km.

The plane is climbing at an angle of 30°.

We can visualize the situation as a right triangle, with the ground radar station at one vertex, the plane at another vertex, and the distance between them (D) as the hypotenuse. The altitude of the plane forms a vertical side, and the horizontal distance between the plane and the radar station forms the other side.

We can use the trigonometric relationship of sine to relate the altitude, angle, and hypotenuse:

sin(30°) = 1/D.

To find dD/dt, we can differentiate both sides of this equation with respect to time:

cos(30°) * d(30°)/dt = -1/D^2 * dD/dt.

Since the plane is flying with a constant speed, the rate of change of the angle (d(30°)/dt) is zero. Thus, the equation simplifies to:

cos(30°) * 0 = -1/D^2 * dD/dt.

We can substitute the known values:

cos(30°) = √3/2,

D = 1 km.

Therefore, we have:

√3/2 * 0 = -1/(1^2) * dD/dt.

Simplifying further:

0 = -1 * dD/dt.

This implies that the rate at which the distance from the plane to the radar station is changing is zero. In other words, the distance remains constant.

for such more question on distance

https://brainly.com/question/7243416

#SPJ8

Answer: A

Step-by-step explanation:

Answer:

1/3 of 60 = 20

2/5 x 3 = 1 1/5

A: 1 1/5 cans of paint

Step-by-step explanation:

Answer:

1st image: -14, 4

2nd image: -0.7, 1.7

3rd image: -5/8, 7/8

Step-by-step explanation:

What I came up with...

\(w^2 - 6w + 4\) is a polynomial that represents how much more profit is earned by selling w apple trees than w pear trees.

The profit earned by selling w pear trees is 2w + 10

To find the difference in profit, we need to subtract the profit earned by selling w pear trees from the profit earned by selling w apple trees:

\((w^2 - 4w + 14) - (2w + 10)\)

Simplifying the expression:

\(w^2 - 6w + 4\)

Therefore, the polynomial that represents how much more profit is earned by selling w apple trees than w pear trees is \(w^2 - 6w + 4\).

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ1

Answer:

\( \displaystyle \large{y = \frac{1}{4} x + 1}\)

Step-by-step explanation:

Whenever you solve a word problem, our first step is to read and gather the information we find.

"A line intersects the point (-8,-1) and has a slope of 1/4. What is the slope-intercept equation for this line?"

After reading the question, I am going to highlight or bold the contexts that are important to our problem-solving.

"A line intersects the point (-8,-1) and has a slope of 1/4. What is the slope-intercept equation for this line?"

First, let's understand that slope-intercept equation is in the form of y = mx+b where m = slope and b = y-intercept

After reading the context, what do we know?

We finally have the information — our first step is to write our slope-intercept equation.

\( \displaystyle \large{y = mx + b}\)

We know that m is slope which is 1/4 — substitute in the equation.

\( \displaystyle \large{y = \frac{1}{4} x + b}\)

We have used the two information which are a slope of 1/4 and slope-intercept equation.

That only leaves to one information which is a line that passes through (-8,-1).

Since the graph has to pass through the point, we substitute x = -8 and y = -1.

\( \displaystyle \large{ - 1= \frac{1}{4} ( - 8)+ b}\)

After using all information, it seems that we are solving for b-term or y-intercept.

\( \displaystyle \large{ - 1= \frac{1}{1} ( - 2)+ b}\)

From above — cross-division.

\( \displaystyle \large{ - 1= 1( - 2)+ b} \\ \displaystyle \large{ - 1= - 2+ b}\)

Add both sides by 2 to isolate b-term.

\(\displaystyle \large{ - 1 + 2= - 2 + 2+ b} \\ \displaystyle \large{ 1= b}\)

Therefore, the value of b is 1. From the equation:

\( \displaystyle \large{y = \frac{1}{4} x + b}\)

Substitute b = 1 in the equation.

\( \displaystyle \large{y = \frac{1}{4} x + 1}\)

And we're done!

ANSWER

EXPLANATION

The slope-intercept equation of a straight line is of the form\(\sf{}y = mx + b\)

Where,

'm' is the slope

'b' is the y-intercept

From the question we have slope to be

\(\sf{}m = \frac{1}{4}\)

We substitute the slope into the slope-intercept equation and obtain:

\(\sf{}y = \frac{1}{4}x + b\)

To find the value of 'b' we plug in the point (-8,-1) into our current equation.

\(\sf- 1= \frac{1}{4}( - 8)+ b\)

\(\sf- 1= - 2+ b\)

\(\sf- 1 + 2 = b\)

\(\sf{}b= 1\)

The complete equation is

Answer:

your answer is C) A negative radius does not make sense.

Step-by-step explanation:

hope it helps  ^_^

Answer:

24

Step-by-step explanation:

9514 1404 393

Answer:

  11 1/9%

Step-by-step explanation:

1/9 × 100% = (100/9)% = (11 1/9)%

The value that would have the most dots on a line plot is given as follows:

4.25.

The dot plot gives a dot to each measure for each time that it appears, hence it says the same thing as a table, in a different format.

A line plot is built from the dot plot, in which:

Hence the value 4.25 is the value in this problem that would have the most dots in a line plot, as it is the value that appears the most times in the data-set (only value to appear three times).

More can be learned about dot plot at brainly.com/question/29660457

#SPJ1

There will be no change in the price of the car.

A number line is a representation of a graduated straight line used to abstract real numbers in elementary mathematics. Its points are considered to correspond to real numbers and vice versa.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Let the sticker price = x, Price reduced by $300

Hence the new price is,

N= x-$300

The cost of additional features = $900

Hence the new price for selling will be.

=x-$300+$900

=x+$600

Dealer also provides a discount of $600

Hence Final  selling price will be

=x+$600-$600

Hence there seems to be no change in the sticker price as the sticker price and the final selling price are the same.

To know more about number line follow

https://brainly.com/question/24644930

#SPJ1

Answer:

C on edge 2021

Step-by-step explanation:

Answer:

3/6=1/2

Step-by-step explanation:

There are 3 ways you can roll an even number on a 6-sided die: 2, 4, and 6

Therefore, the probability of rolling an even number is 3/6 or 1/2.

i don't know how to explain it I can just tell you that 7 is (1,5) 8 is (1,40) 9 is (-16,-7) and 10 is (8,5)

Answer:

I think the answer is C, interest is a fee charged for borrowing money, dept is the total amount of money owed.  

Answer:

Functions =

in the next step, we can do that :

f(-2) = -3(-2) + 3

f(-2) = 6 + 3

f(-2) = 9

answer f(-2) = 9

note :

if the number is negative, multiply by a negative number as well, then the result is a positive number.

1/2=1/2=1/2.is the value for the given equivalent fraction, by putting the value 3.4 in the numerators respectively

The fractions with distinct numerators and denominators but the same value are said to be equivalent fractions.

For instance, since 2/4 and 3/6 both equal the 1/2, they are identical fractions. An element of a whole is a fraction. The same amount of the whole is represented by equivalent fractions.

1/2 =    /6 =   /8.

a. Multiply numerator and denominator by 3 for equivalenting the equation    /6

Therefore,

3*3/6*3

=9/18

=1/2

therefore:1/2=1/2.

b. Multiply numerator by 4

Therefore,

4/8

=1/2.

Therefore:

1/2=1/2.

1/2=1/2=1/2.

Learn more about equivalent fraction here:

https://brainly.com/question/29775885

#SPJ1

The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.

Tο cοmplete the assignment, use the tried-and-true straightfοrward methοdοlοgy, the real variables, and any pertinent details frοm the preliminary and specialized questiοns. In respοnse, custοmers might be given anοther οppοrtunity tο range sample the prοducts. In the absence οf such changes, majοr advances in οur knοwledge οf prοgrammes will be lοst.

Here,

We must divide the tοtal cοst by the quantity οf cupcakes in οrder tο determine the unit cοst οf each οptiοn:

Twelve cupcakes:

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=>  Unit cοst: $29 fοr 12 cupcakes.

=>  $2.42 is the unit cοst per cupcake.

Tο make 24 cupcakes:

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=> 24 cupcakes equals $56 fοr the unit.

=>  $2.33 is the unit cοst per cupcake.

50 cupcakes =

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=>  $129 fοr a unit οf 50 cupcakes.

=>  Unit cοst: $2.58 fοr each cupcake

As a result, 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.

To know more about unitary method  visit:

brainly.com/question/28276953

#SPJ1  

Answer:

(x = 0, y = 0) and (x = 3, y = 0)

Step-by-step explanation:

Let's test out each pair by substituting the values into the inequalities.

Case 1: x = 0, y = 0

0 <= 6

0 < 6

It works!

Case 2: x = -5, y = -15

-15 <= 10 + 6 = 16

-5 + 15 = 10 < 6

It doesn't work.

Case 3: x = 4, y = -2

-2 <= -8 + 6 = -2

4 + 2 = 6 < 6

It doesn't work.

Case 4: x = 3, y = 0

0 <= -6 + 6 = 0

3 < 6

It works!

Case 5: x = 10, y = 0

0 <= -20 + 6 = -14

From here we can already see that it doesn't work

Case 1 and 4 work!

Answer:

data:image/png;base64,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

As a result, the isosceles triangle has a circumference of about 38.7 inches.

They apply stress and compression in various locations. Trusses can be built using triangles. Many structures, including roofs, bridges, and buildings, utilise trusses. Trusses' vertical and diagonal beams are joined to form triangles.

The isosceles triangle is split into two equal right triangles by the altitude because it bifurcates the base of the triangle. Let's name the hypotenuse of several of the right trapezoid "h" and the two equivalent sides of a isosceles triangle "x."

We can link the sides of both the right triangle using the Pythagorean theorem:

h² = x² + 21²

The other leg of the each right - angled triangle has length because the right and left triangles are congruent. (18/2) = 9 inches.

We can now link x and h using the Pythagorean theorem once more:

h² = 9² + x²

When we equalize these two equations, we obtain:

x² + 21² = 9² + x²

When we simplify this equation, we obtain:

21² = 9²

441 = 81 + x²

x² = 360

x = √360 = 6 × √10

Hence, the triangle's perimeter is as follows:

P = 2x + 18

P = 2 (6 × √10) + 18

38.7 inches for P (rounded to the nearest tenth of an inch).

To know more about Triangles visit:

https://brainly.com/question/2773823

#SPJ1

Answer:

The answer is 6

Step-by-step explanation:

First nothing us negative, so multiply 8/4 times 9/3,which is 72/12=6, 6×12 is 72.The reason why it is 9/3 instead of 3/9 is because you are dividing so KCF, keep change flip.

Answer:

Positive 6

Step-by-step explanation:

What you do is:

8 x 9 = 72

-4 x (-3) = 12

72 / 12 = 6

Hope this helps!

- 28allemm

The area of the smaller rectangle (KLMN) is 16.

Since rectangles ABCD and KLMN are similar, their corresponding sides are proportional.

Let's assume the length of side AB in rectangle ABCD is x, and the length of side KL in rectangle KLMN is y.

We can set up the proportion:

(x/y) = (20/16)

To find the area of the smaller rectangle, we need to determine the ratio of their areas.

Since the area of a rectangle is given by the product of its length and width, the ratio of the areas will be equal to the square of the ratio of their sides:

(Area of ABCD)/(Area of KLMN) = (x²)/(y²)

We are given that the area of ABCD is 25, so we have:

25/(Area of KLMN) = (x²)/(y²)

To find the area of KLMN, we need to substitute the values of x and y from the proportion:

25/(Area of KLMN) = (20/16)²

Simplifying the right side:

25/(Area of KLMN) = (5/4)²

25/(Area of KLMN) = 25/16

Cross-multiplying:

25 × 16 = 25 × (Area of KLMN)

400 = 25 × (Area of KLMN)

Dividing both sides by 25:

16 = Area of KLMN

Therefore, the area of the smaller rectangle (KLMN) is 16.

Learn more about similarity click;

https://brainly.com/question/26451866

#SPJ1

Julio will be 30 years old when his father is twice his age.

To determine the age at which Julio will be twice his father's age, we need to find the age difference between them and then add that difference to Julio's current age.

Currently, Julio is 12 years old, and his father is 42 years old. The age difference between them is 42 - 12 = 30 years.

For Julio to be twice his father's age, the age difference needs to remain the same as it is currently. Therefore, when Julio is x years old, his father will be x + 30 years old.

Setting up an equation to solve for x:

x + 30 = 2x

Simplifying the equation, we subtract x from both sides:

30 = x

Thus, when Julio is 30 years old, his father will be 30 + 30 = 60 years old. At this point, Julio will indeed be twice his father's age.

Therefore, Julio will be 30 years old when his father is twice his age.

Note : the translated question is Julio is 12 years old and his father is 42 years old. How old will Julio be when his father is twice his age?

For more such question on age. visit :

https://brainly.com/question/30994122

#SPJ8

The model of the total cost of the Family Plan will be 90 + 30P.

It should be noted that Family Plan has $90 monthly fee, unlimited talk and text on up to 5 lines, and data charges of $30 for each device for up to 2 GB of data per device.

Therefore, the model will be:

= 90 + 30P

where p = number of devices

In conclusion, the model of the total cost of the Family Plan will be 90 + 30P.

Learn more about equations on:

brainly.com/question/13763238

#SPJ1

A number that can only be divided by 1 or 0 is prime. A composite number is a number that can be divided by 0, 1, 2, etc. I couldn't really get the question that you were trying to type, but this is what I came up with.

Hope this helps and just remember you are loved!

Answer:

4.8

Step-by-step explanation:

3:5  

3/5 : 1

8(3/5):1(8)

4.8:8

The radical equation has a solution set of ±√41

Given the radical equation below

√(x²-5)+6=0​

We need to determine the unknown parameter

Subtract 6 from both sides

√(x²-5)+6-6=0​ - 6

√(x²-5) = -6

Square both sides

(x²-5) = 36

x² = 36 + 5

x² = 41

x= ±√41

Hence the solution to the given radical equation is ±√41

Learn more on radical equation here: https://brainly.com/question/8606917

#SPJ1

Answer:

36/5 or 7 1/5

Step-by-step explanation:

4 divided by 5/9

4 x 9/5.        change the divide to multiply & the fraction to the reciprocal

=36/5 or 7 1/5

The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively

Given the function :

Substitute the given value of x to obtain the corresponding f(x) values :

x = -0.6

f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358

x = -0.51

f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350

x = -0.501

f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967

x = -0.5

f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959

x = -0.4999

f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958

x = 0.499

f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951

x = -0.49

f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188

x = -0.4

f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125

Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013

Learn more on functions : https://brainly.com/question/12634120

#SPJ1