pls help me on this question it is geometry​

Answer:

36 - x²

Step-by-step explanation:

(x-6)(-x-6) = (-1)(x-6)(x+6) = (-1)(x² - 36) = 36 - x²

this is based on the "well known" (a+b)(a-b) = a²-b²

To obtain the function that repreents the final transformation of the solid black function, the following steps are recommended:

Step 1: Express the solid black function as follows:

Step 2: Observe the changes that have occurred from the solid black function to the dotted function, as shown in the graph, and as explained below:

We can see that, to obtain the dotted function, the solid black function was:

1) Translated (moved) 5 units to the right along the x axis

2) Moved one unit downwards along the y axis

Step 3: Interpret the two obervations in mathematical terms, as follows:

Therefore, the dotted function can be mathematically represented as:

The expression to show the total number of songs on Iris's playlist after {w} weeks is → y = 120 + 4w.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that Iris has 120 songs on her playlist. Each week, she downloads 4 new songs.

We can write the expression to show the total number of songs on Iris's playlist after {w} weeks as -

y = 120 + 4w

Therefore, the expression to show the total number of songs on Iris's playlist after {w} weeks is → y = 120 + 4w.

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Answer:

The recent role of the greenhouse effect

Step-by-step explanation:

Answer:

Trigonometry : Law of Sines

Step-by-step explanation:

Have a good day :)

Answer:

6^_7

Step-by-step explanation:

6^7*6^-7=1

Proved

Answer: Steep. Its 50% steep.

The time taken by Amy to travel to the place was t = 4 hours.

A measure of average speed is the amount of distance travelled in a given amount of time. It is determined by dividing the overall mileage by the overall time required to cover that mileage.

In physics and other sciences, average speed is frequently employed to describe how objects move. For instance, it is possible to estimate how long it will take to go a certain distance or assess a car's fuel economy by looking at its average speed over a given distance. By dividing the whole distance travelled by the total time required, average speed may also be used to characterise the speed of an object that is moving at various speeds at different points along its path.

Let the time taken to get back = t + 1.

Now, it took one hour less time to get there thus time = t.

Now, average speed is given as:

average speed = total distance / total time

Substituting the values:

50 km/h = d / t

d = 50t  .........(1)

40 km/h = d / (t + 1)

d = 40(t + 1)......(2)

Setting the value of d as equal we have:

50t = 40(t + 1)

50t = 40t + 40

10t = 40

t = 4

Hence, the time taken by Amy to travel to the place was t = 4 hours.

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Answer: 10/40 or 1/4

Step-by-step explanation:

Add up all the amount of rolls, so 10+6+4+8+6+6=40

then add the probability of rolling a 3 or 6 = 10

divide that quantity out of the whole

answer is 10/40 and simplified is 1/4

hope it helps

All the areas of the circles are illustrated below.

The circumference of a circle is the distance around the circle which is 2πr.

The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.

We know, The area of the circle is πr².

1. The area of the circle with a radius of 2.5 cm is,

= π(2.5)² sq cm.

= 19.625 sq cm.

2. The area of the circle with a radius of 11 in is,

= π(11)² sq in.

= 379.94 sq in.

3. The area of the circle with a radius of 3 mm is,

= π(3)² sq mm.

= 28.26 sq mm.

4. The area of the circle with a radius of 5 in is,

=  π(5)² sq in.

= 78.5 sq in.

5.  The area of the circle with a radius of 6.5 cm is,

= π(6.5)² sq cm.

= 132.665 sq cm.

6.   The area of the circle with a radius of 7.2 yd is,

= π(7.2)² sq yd.

= 162.7776 sq yd.

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Answer:

Step-by-step explanation:

Answer:

the surface area S of the red solid is 90m^2

Step-by-step explanation:

The computation of the surface area of the red solid is shown below:

First find the scale factor i.e.

= 6 ÷ 4

= 1.5

Now the surface area of the red solid is

= 40 × 1.5 × 1.5

= 90m^2

Hence, the surface area S of the red solid is 90m^2

The same would be considered

Step-by-step explanation:

a)

0.00000000007

b)

0.00000001

Answer:

The answer is 21/32

Step-by-step explanation:

took the test

Answer:

the scale factor of RSTU to R'S'T'U' is 1/3

Step-by-step explanation:

look at the graph and count how many squares are needed for the line RS (3) and how many for the line R'S' (9).

this is 1:3 or 1/3

all other sides follow the same ratio.

the point P is diagonally one square down from S and 3 squares down from S'.

Answer:

a) To solve the differential equation y''-2y'-3y= e^4x, we first find the characteristic equation:

r^2 - 2r - 3 = 0

Factoring, we get:

(r - 3)(r + 1) = 0

So the roots are r = 3 and r = -1.

The general solution to the homogeneous equation y'' - 2y' - 3y = 0 is:

y_h = c1e^3x + c2e^(-x)

To find the particular solution, we use the method of undetermined coefficients. Since e^4x is a solution to the homogeneous equation, we try a particular solution of the form:

y_p = Ae^4x

Taking the first and second derivatives of y_p, we get:

y_p' = 4Ae^4x

y_p'' = 16Ae^4x

Substituting these into the original differential equation, we get:

16Ae^4x - 8Ae^4x - 3Ae^4x = e^4x

Simplifying, we get:

5Ae^4x = e^4x

So:

A = 1/5

Therefore, the particular solution is:

y_p = (1/5)*e^4x

The general solution to the non-homogeneous equation is:

y = y_h + y_p

y = c1e^3x + c2e^(-x) + (1/5)*e^4x

b) To solve the differential equation y'' + y' - 2y = 3xe^x, we first find the characteristic equation:

r^2 + r - 2 = 0

Factoring, we get:

(r + 2)(r - 1) = 0

So the roots are r = -2 and r = 1.

The general solution to the homogeneous equation y'' + y' - 2y = 0 is:

y_h = c1e^(-2x) + c2e^x

To find the particular solution, we use the method of undetermined coefficients. Since 3xe^x is a solution to the homogeneous equation, we try a particular solution of the form:

y_p = (Ax + B)e^x

Taking the first and second derivatives of y_p, we get:

y_p' = Ae^x + (Ax + B)e^x

y_p'' = 2Ae^x + (Ax + B)e^x

Substituting these into the original differential equation, we get:

2Ae^x + (Ax + B)e^x + Ae^x + (Ax + B)e^x - 2(Ax + B)e^x = 3xe^x

Simplifying, we get:

3Ae^x = 3xe^x

So:

A = 1

Therefore, the particular solution is:

y_p = (x + B)e^x

Taking the derivative of y_p, we get:

y_p' = (x + 2 + B)e^x

Substituting back into the original differential equation, we get:

(x + 2 + B)e^x + (x + B)e^x - 2(x + B)e^x = 3xe^x

Simplifying, we get:

-xe^x - Be^x = 0

So:

B = -x

Therefore, the particular solution is:

y_p = xe^x

The general solution to the non-homogeneous equation is:

y = y_h + y_p

y = c1e^(-2x) + c2e^x + xe^x

c) To solve the differential equation y" - 9y' + 20y = x^2*e^4x, we first find the characteristic equation:

r^2 - 9r + 20 = 0

Factoring, we get:

(r - 5)(r - 4) = 0

So the roots are r = 5 and r = 4.

The general solution to the homogeneous equation y" - 9y' + 20y = 0 is:

y_h = c1e^4x + c2e^5x

To find the particular solution, we use the method of undetermined coefficients. Since x^2*e^4x is a solution to the homogeneous equation, we try a particular solution of the form:

y_p = (Ax^2 + Bx + C)e^4x

Taking the first and second derivatives of y_p, we get:

y_p' = (2Ax + B)e^4x + 4Axe^4x

y_p'' = 2Ae^4x +

Answer: Acute angle

Step-by-step explanation:

because it is at a 62 I think angle

Answer:

The statements that can be used to compare the characteristics of the functions are:

1. g(x) has the greatest maximum value.

2. All three functions share the same domain.

Explanation:

- The table shows the values of three functions - f(x), g(x), and h(x) - evaluated at different values of x.

- We cannot determine the domain of f(x) or h(x) from the given table but we can see that g(x) has a domain of all real numbers.

- We can see that g(x) has the highest maximum value among the three functions, which is 8.

- We cannot determine the range of f(x) or g(x) from the given table but we can see that h(x) has a range of all negative numbers.

- We cannot say anything about the domain or range of f(x) based on the given table.

- Therefore, the two statements that can be used to compare the characteristics of the functions are: g(x) has the greatest maximum value and all three functions share the same domain.

The given statement in the question , if a sequence of uniformly bounded functions uniformly converges then its limit function must also be uniformly bounded is true.

It is true that a sequence of uniformly convergent bounded functions must converge to a bounded function. A uniformly convergent series of unbounded functions is difficult to describe.

On the real line, for example, f n (x) = x converges uniformly to f (x) = x.

In mathematics, a family of bounded functions is said to be uniformly bounded if all of its members can have their boundaries defined by the same constant.

This constant is greater than or equal to the absolute value of any of the family's functions.

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Answer:

The cost of a card is 4 dollars

The cost of a baseball is 18 dollars

Step-by-step explanation:

13c + 9b = 214

 3c + 8b = 156

(13c + 9b = 214) × -8

( 3c + 8b = 156) × 9

-104c - 72b = -1712

  27c + 72b = 1404

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

-77c = -308

÷-77      ÷-77

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

c = 4

3c + 8b = 156

3(4) + 8b = 156

12 + 8b = 156

-12             -12

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

8b = 144

÷8     ÷8

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

b = 18

I hope this helps!

Answer:

120=2*2*2*3*5

160=2*2*2*2*2*5

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

1.   120 = 12  * 10

= 2*2*3*2*5

= 2*2*2*3*5

2.  160 = 10 * 16

= 2*5*2*2*2*2

= 2*2*2*2*2*5

Answer:

$336

Step-by-step explanation:

$24 x 14 = $336

Answer:

Ok

14+14 =28

24×28= $672

Because if they have already stayed 14 nights and if they stay an additional 14 nights..

You will have to add 14 +14 to get 28 and then

multiply 24×28 to get the answer equal $672.00 for the nights of staying on rhe camp..

Answer:

(3m+2)

Step-by-step explanation: trust me I gotchu

Answer:

\( \frac{40}{4} \)

Step-by-step explanation:

The model shows that there are 40 tiles which were divided into 4 per group. This results into 10 groups. That is:

\( \frac{40 tiles}{4} = 10 groups \)

Therefore, the expression modeled by the arrangement of the tiles is \( \frac{40}{4} \)

Answer:

C

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

did the test

Answer:

Therefore, the constant of proportionality for the given proportional relationship is 5.

Step-by-step explanation:

To determine the constant of proportionality in the given proportional relationship, we can use the formula:

Constant of Proportionality = Tickets / Games

Let's plug in the values from the table:

For the first set of values (4 games and 20 tickets):

Constant of Proportionality = 20 / 4 = 5

For the second set of values (7 games and 35 tickets):

Constant of Proportionality = 35 / 7 = 5

For the third set of values (10 games and 50 tickets):

Constant of Proportionality = 50 / 10 = 5

In all three cases, the constant of proportionality is equal to 5.

Therefore, the constant of proportionality for the given proportional relationship is 5.

Answer:

16.364 miles

Step-by-step explanation:

Speed of Claire = 6 miles per hour

Speed of Megan= 5 miles per hour

Distance from camp site to out post = 18 miles

Time for Claire to travel=18/6= 3 hours

Time for Megan to travel = 18/5 = 3.6 hours

The time they meet will be equal

Claire distance= 18 + x

Megan distance = 18-x

Claire time =( 18+x)/6

Megan Tim =( 18-x)/5

(18+x)/6 =(18-x)/5

5(18+x)= 6(18-x)

90 +5x = 108-6x

11x=18

X=18/11

X=1.636 Miles

So the distance from the Outpost to where they meet = 18-1.636

= 16.364 miles