NO LINKS!! URGENT HELP PLEASE!!

28. You are skiing on a mountain with an altitude of 1000 feet. The angle of depression is 19°. Find the distance you ski down the mountain. Draw a diagram to represent the situation. Round final answer to the nearest tenth.

The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).

The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.

To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.

For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.

Therefore, the practical domain of the situation is x ≥ 0.

For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.

Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.

Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).

To summarize:

- The practical domain of the situation is x ≥ 0.

- The practical range of the situation is [140, ∞).

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Answer:

\(-12\)

Step-by-step explanation:

Let that number be \(x\). We can build an equation, and solve for \(x\).

\(4\) less than half of \(x\) is \(x/2-4\).

\(2\) more than \(x\) is \(x+2\).

We are given that the two quantities are equal, so we have that \(x/2-4=x+2\).

Adding \(4\) to both sides gives \(x/2=x+6\).

Multiplying both sides by \(2\) gives \(x=2(x+6)=2x+12\).

Subtracting \(2x\) from both sides gives \(-x=12\).

Multiplying both sides by \(-1\) gives \(x=-12\).

So, the number is \(\boxed{-12}\) and we're done!

The check is left as an exercise to the reader.

The area of the kite is A = 48 units²

Given data ,

Let the area of the kite be represented as A

Now , the value of A is

Let the first diagonal of the kite be d₁ = 12 units

Let the second diagonal of the kite be d₂ = 8 units

Now , Area of kite = ( 1/2 ) d₁ x d₂

On simplifying , we get

A = ( 1/2 ) ( 12 ) ( 8 )

A = 48 units²

Therefore , the value of A is A = 48 units²

Hence , the area of the kite is A = 48 units²

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Answer:

In Picture

Step-by-step explanation:

Brainliest please~

Answer:

20 4/5

Step-by-step explanation:

13/5 times 8/1

104/5

which is simplify

to 20 4/5\

hope this helps

4^2= 16

3^3= 27

27-16=11 so Alia has 11 jelly beans

The equation is an illustration of a linear function

The rate of change is 10 and the initial value is 25

The equation is given as:

\(C = 25 + 10m\)

A linear equation is represented as:

\(y = b + mx\)

Where:

By comparison:

b = 25

m = 10

Hence, the rate of change is 10 and the initial value is 25

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Here we have a dilation of scale factor 2.

We can see that bot figures we have the same slope, so we just have a dilation of scale factor K to go from figure A to figure B.

To find the value of K, notice that for some side length L in figure A, the correspondent length L' in figure B must be:

L' = K*L

Here if we use the left sides, we will get:

for figure A; L= 2

for figure B: L = 4

4 = K*2

4/2 = K

2 = K

So this is a dilation of scale factor k = 2.

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Answer:

57.6 km per hr

Step-by-step explanation:

Let us assume the horizontal distance between the ship is constant = x

= 70 Km

The ship A sails south at 40km/h is denoted as 40t

The Ship B sails north at 20 km/h is denoted as 20t

Now the vertical distance separating the two ships is

=  20t + 40t

= 60t

And, the Distance between the ship is changing

\(D^2 = y^2 + x^2\)

As x is constant

\(\frac{\partial x}{\partial t}$ = 0\)

Now differentiating

\(2D \frac{\partial D}{\partial t}$ = 2y $\frac{\partial y}{\partial t}$\)

The distance between two ships is at 4

So,  

vertical distance is

\(= 60\times 4\)

= 240

And, the horizontal distance is 70

\(D = \sqrt{240^2 + 70^2} = 250\)

\(2 \times 250 \frac{\partial D}{\partial T}$ = 2 \times 240 \times 60\)

So, the distance between the ships is  57.6 km per hr

So,the value of the 30th percentile of the given data will be =P30=4

The cumulative distribution function of a real-valued random variable X, or simply the distribution function of X, assessed at x, is the likelihood that X will have a value less than or equal to x in probability theory and statistics.

Using the Cumulative Distribution Function to Calculate Probabilities

F(x) is a cumulative distribution function that calculates the likelihood that the random variable X is smaller than or equal to x:

To get the cumulative probability that X is less than or equal to 1, multiply P(X=0) by P(X = 0) by (P=1):

First, we will determine the value of the cumulative probability P(X<=x):

x         f(x)       P(X<=x)

1       0.02          0.02

2       0.01          0.03

3       0.2          0.23

4       0.17           0.4

5       0.39           0.79

6       0.2           0.99

7 0.01 1

30th percentile will be the x value,

below which less than or equal to 30% of the data falls.

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Answer:

6 + -2x

Step-by-step explanation:

(4x+8)-(6x-2)

move the 6x to the 4x ()and the 8 to the 2()or the other way round

(4x-6×)(-2+8)

-2x+6

Answer:

164

The 982 part seems wrong. Are you sure it isn't 981?

around 436 if I use 981 instead. 982 would give a decimal and that would be kinda weird for a part human.

Step-by-step explanation:

You can divide the 205 by 5 to simplify the ratio down. 205/5 = 41. Then you can multiply by 4 to find then number of boys.

981

So you can add the 5 and 4 together to 9 and then divide 981 by 9 to get 109. Then you can multiply by 4 to get 436.

Hope this helps!

Answer:

1/20

Step-by-step explanation:

1/20 +x = ⅒

multiply through by 20

1+20x=2

1-2=-20x

-1= -20x

1/20=x

Answer:

i think its 28

Step-by-step explanation:

because i passed this level of math on luck

Hence, the likelihood that one of the two clients will actually hire someone else is 0.495

Define probability?

Probability is the research of probabilities, which also are based on the ratio of favourable events to likely circumstances. One of the areas of probability theory is the estimation of the chance of experiments occurring. With a probability, we can calculate any number of things, from the probability of obtaining a head or a tail when flipping a coin towards the likelihood of generating a research error, for example.

We can solve this problem by using the binomial distribution, which models the probability of a certain number of successes in a fixed number of trials, where each trial has only two possible outcomes (success or failure) and the probability of success is the same for each trial.

In this case, we have a binomial distribution with n=2 (two customers) and p=0.55 (the probability that a customer plans to hire someone else). We want to find the probability that exactly one of the two customers is planning to hire someone else, which can happen in two ways: either the first customer plans to hire someone else and the second does not, or vice versa.

The probability of the first customer planning to hire someone else and the second not is:

P(1 hires, 2 does not) = p(1-p) = 0.55(1-0.55) = 0.2475

The probability of the first customer not hiring someone else and the second one hiring is the same:

P(1 does not hire, 2 hires) = (1-p)p = (1-0.55)0.55 = 0.2475

The probability of either of these two events happening is the sum of their probabilities:

P(exactly one hires) = P(1 hires, 2 does not) + P(1 does not hire, 2 hires) = 0.2475 + 0.2475 = 0.495

Therefore, the probability that exactly one of the two customers is planning to hire someone else is 0.495, rounded to three decimal places.

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The length of 2 sides and an angle between them is given A = ½ × b × c × sin(α) If two angles and the length between them is given A = For an isosceles right triangle A = ½ × a.

If the height (i.e. the altitude) and base of an isosceles triangle are known, the area can be easily calculated. The area of the isosceles triangle is calculated by multiplying the height by the base and dividing by two. As a result, an isosceles triangle has two equal sides and two equal angles. The name is derived from the Greek words iso (same) and skelos (skull) (leg). An equilateral triangle has all of its sides equal, whereas a scalene triangle has none of its sides equal.

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Answer:

D

Step-by-step explanation:

When rounding, the number 5 is rounded up. So the number 387.352 will be rounded up 387.4. Other options are not suitable. Correct answer is "D"

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Try this option, the answer is marked with red colour.

The series of rigid motion transformations that map polygon A to Polygon A''' are;

A rigid transformation is a transformation in which the distance between all pairs of points on the pre-image is preserved following the transformation.

The series of rigid motion transformations that map polygon A to polygon A''' are;

Transformation from A to A'

Transformation from A' to A''

Transformation from A'' to A'''

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The the length of LJ is approximately 3.5.OptionD) is correct.

To find the length of LJ, we can use the Law of Sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides of the triangle.

Let's denote the length of JL as x. Then, we can set up the following proportion:

sin(23°) / LJ = sin(89°) / KL

where KL is given as 9.

We can simplify this proportion by using the fact that sin(89°) = cos(1°) (since the sine of the complement of an angle is equal to the cosine of the angle), and by using a calculator to find the values of sin(23°) and cos(1°):

0.3919 / LJ = 0.0175 / 9

Multiplying both sides by x and then dividing both sides by 0.0175, we get:

LJ = 0.3919*9/ 0.0175

x ≈ 3.5

Therefore, the length of LJ is approximately 3.5.OptionD) is correct.

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Step-by-step explanation:

it seems you solved the tricky part yourself already.

just to be sure, let's do the first derivative here again.

the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...

f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =

= 3t⁴ + 18t³ + 24t² + 18t + 21

f'(t) = 12t³ + 54t² + 48t + 18

and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).

we simply put the input number (2) at every place of the input variable (t).

so,

f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =

= 426

==============================================================

Explanation:

f(x) is equal to both x^2-2x+3 and also -6x at the same time. Set those two expressions equal to one another and solve for x.

x^2-2x+3 = -6x

x^2-2x+3+6x = 0

x^2+4x+3 = 0

(x+3)(x+1) = 0 .... see note below

x+3 = 0 or x+1 = 0

x = -3 or x = -1

Note: 3 and 1 multiply to 3, and also add to 4.

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

Once we get the x values, we plug them into either equation to find the y value.

So if x = -3, then

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

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

f(-3) = 9 + 6 + 3

f(-3) = 18

or we could say

f(x) = -6x

f(-3) = -6(-3)

f(-3) = 18

Both versions produce the same output when x = -3.

The second version is easier to work with.

Since x = -3 leads to y = 18, we know that (-3, 18) is one of the solutions. That explains where your teacher got (-3, 18) from.

-----------

We'll use this idea for x = -1 now

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

f(-1) = (-1)^2-2(-1)+3

f(-1) = 1 + 2 + 3

f(-1) = 6

or we could say

f(x) = -6x

f(-1) = -6(-1)

f(-1) = 6

Like before, both versions of f(x) produce the same output when the input is x = -1.

The other solution is (-1, 6)

The expression that represent the perimeter of the triangle is 3d² - 4d + 1.

The perimeter of any two-dimensional figure is simply the distance around the figure.

Hence, the perimeter of the triangle is the sum of all its 3 side lengths.

From the diagram:

Side length 1 = ( d² + 3 )

Side length 2 = ( 4d² + 3d - 2 )

Side length 3 = ( -2d² - 7d )

Hence, the perimeter of the triangle will be:

Perimeter = side length 1 + side length 2 + side length 3

Plug in the expressions

Perimeter = ( d² + 3 ) + ( 4d² + 3d - 2 ) + ( -2d² - 7d )

Collect and add like terms:

Perimeter = d² + 3 + 4d² + 3d - 2 + -2d² - 7d

Perimeter = d² + 4d² - 2d² + 3d - 7d + 3 - 2

Perimeter = 3d² - 4d + 1

Therefore, the perimeter is 3d² - 4d + 1.

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Answer:

x = 25, CD = 7

Step-by-step explanation:

angle CBA and angle CDA are congruent, so you make them equal to each other and solve for x.

segment CD and segment BA are also congruent, so you make the equal to each other and solve for y. you then plug y into the expression for CD to get the measurement.

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(I need one more to move up a rank lol)

here's my work if you need it

Answer:

True:

D.

E.

F

Step-by-step explanation:

First, you should know that the square of any odd number is also odd.

The easiest way to go about this is to plug in an odd number for n. Lets use 3:

Plug 3 into A:

\(3^{2} -1=9-1=8\)

Plug 3 into B:

\(3(3-1)=9-3 = 6\)

Plug 3 into C:

\((3-2)^{2} = 2^{2} = 4\)

Plug 3 into D:

\(3^{2} +2 = 9+2=11\)

Plug 3 into E:

\(3(3-2) = 9-6 = 3\)

Plug 3 into F:

\((3-2)^{2}=1^{2} =1\)

Answer:

(a)  325

(b)  350

(c) The online retailer has a better deal.

Step-by-step explanation:

250 * 130% = 325

25- * 140% = 350

325 is less than 350, so its the better deal.

The perimeter and area of a rectangle are (5,6) and (6,5).

The perimeter method for a rectangle states that P = (L + W) × 2, where P represents perimeter, L represents length, and W represents width. when you are given the size of a square form, you may simply plug within the values of L and W into the formula that allows you to clear up for the fringe.

A perimeter is a closed course that encompasses, surrounds, or outlines either a two-dimensional shape or a one-dimensional period. The perimeter of a circle or an ellipse is known as its circumference. Calculating the perimeter has several practical programs.

The perimeter P of a rectangle is given by means of the method, P=2l+2w, in which l is the period and w is the width of the rectangle. The place A of a rectangle is given with the aid of the components, A=lw, wherein l is the length and w is the width.

The perimeter of the rectangle:

P=2l+2w=22

divide 2 into both sides

l+w=11 -------------> (1)

w=11-l

Area of the rectangle:

l*w=30

l(11-l)=30

11l-l^2-30=0

l^2-11l+30=0

By factor method,

(l-5)(l-6)=0

l=5,6.

Substitute this value in w,

l=5 implies w=6

l=6 implies w=5

There we have two solutions.

The length and breadth of the rectangle is

(5,6) and (6,5).

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