What is a whole number called?

The stretch of an exponential decay function is y = 2(1/5)ˣ

From the question, we have the following parameters that can be used in our computation:

The list of exponential functions

An exponential function is represented as

y = abˣ

Where

In this case, the exponential function is a decay function

This means that

The value of b is less than 1

An example of this is, from the list of option is

y = 2(1/5)ˣ

Hence, the exponential decay function is y = 2(1/5)ˣ

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Complete question

Which is a stretch of an exponential decay function?

Of(x) = -(5)ˣ

Of(x) = 5(2)ˣ

O fix) = 2(1/5)ˣ

Answer:

The angle SQR is half the intercepted arc SR which is 43°

Answer:

it 288

Step-by-step explanation:

if u multiply 24x12 it gives you 288 hope this help you

Answer:

Kate will have left for the park at 1:44.

Step-by-step explanation:

Take the time of arrival, 2:32, and the time it took to arrive at the park, 48 minutes.

From there, work within the span of one hour, because time works in units of 60, and our numbers don't.

So, you have 0:32 - 0:48 = - 16.

We have to "borrow" from the previous hour, 1.

So, 0:60 - 16 = 44.

Which makes our time of arrival 1:44.

The flowerpot goes approximately 0.056448 meters (or 5.6448 cm) above the top of the window.

To determine the height above the window top that the flowerpot reaches, we can use the concept of projectile motion. Since the flowerpot goes up and then down, we can assume it follows a parabolic trajectory.

Let's break down the problem and calculate the height:

Given:

Total time in view (t): 0.48 s

Height of the window (H): 2.12 m

Since the flowerpot goes up and then down, the total time can be divided into two equal halves: the time going up and the time going down. Thus, each half of the time will be t/2 = 0.48 s / 2 = 0.24 s.

We can use the formula for vertical displacement in projectile motion:

Vertical displacement (Δy) = (1/2) × acceleration (a) × time (t)²

Since the acceleration due to gravity (g) acts downwards, we have:

Acceleration (a) = -g, where g ≈ 9.8 m/s²

Now let's calculate the height above the window top:

Calculate the displacement while going up:

Δ\(y_{up}\) = (1/2) × (-g) × (t/2)²

Δ\(y_{up}\) = (1/2) × (-9.8 m/s²) × (0.24 s)²

Calculate the displacement while going down:

Δ\(y_{down}\) = (1/2) × (-g) × (t/2)²

Δ\(y_{down}\) = (1/2) × (-9.8 m/s²) × (0.24 s)²

Calculate the total height above the window top:

Height above window top = Δ\(y_{up}\) + Δ\(y_{down}\)

Now let's substitute the values into the equations and calculate the height:

Δ\(y_{up}\)  = (1/2) × (-9.8 m/s²) × (0.24 s)²

Δ\(y_{up}\)  = -0.028224 m

Δ\(y_{down}\) = (1/2) × (-9.8 m/s²) × (0.24 s)²

Δ\(y_{down}\) = -0.028224 m

Height above window top = Δ\(y_{up}\)  + Δ\(y_{down}\)

Height above window top = -0.028224 m + (-0.028224 m)

Height above window top = -0.056448 m

Therefore, the flowerpot goes approximately 0.056448 meters (or 5.6448 cm) above the top of the window.

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The median is the middle value, which in this case is $175,000. Therefore, the answer is (A) $175,000.

How to solve?

To find the median value of the houses, we need to first determine the new values of each house after the public assessor's determination. We can do this by adding $20,000 to each of the previous values:

$172,000 + $20,000 = $192,000

$163,000 + $20,000 = $183,000

$142,000 + $20,000 = $162,000

$155,000 + $20,000 = $175,000

$191,000 + $20,000 = $211,000

$122,000 + $20,000 = $142,000

$144,000 + $20,000 = $164,000

Now, we need to find the median value of these new values. To do this, we can arrange them in order from least to greatest:

$142,000, $162,000, $164,000, $175,000, $183,000, $192,000, $211,000

The median is the middle value, which in this case is $175,000. Therefore, the answer is (A) $175,000.

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Answer:

(0, - 7 )

Step-by-step explanation:

given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( \(\frac{x_{1}+x_{2} }{2}\) , \(\frac{y_{1}+y_{2} }{2}\) )

here (x₁, y₁ ) = (- 2, - 4 ) and (x₂, y₂ ) = (2, - 10 ) , then

midpoint = ( \(\frac{-2+2}{2}\), \(\frac{-4-10}{2}\) ) = ( \(\frac{0}{2}\) , \(\frac{-14}{2}\) ) = (0, - 7 )

Answer:

Step-by-step explanation:

Answer:

A C E

Step-by-step explanation:

these triangles can be mapped onto eachother. its basically asking which parts of the triangle would line up with eachother.

The required congruences that are true by CPCTC are LN ≅ XZ, ∠M ≅ ∠Y, and ML ≅ XY. Options A, C, and E are correct.

CPCTC stands for "Corresponding Parts of Congruent Triangles are Congruent." It is a theorem in geometry that states that if two triangles are congruent, then their corresponding parts (sides and angles) are also congruent.

More formally, if two triangles are congruent, then the three pairs of corresponding sides are congruent, and the three pairs of corresponding angles are congruent.

Here,
Since the triangle LMN ≅ triangle XYZ,
By CPCTC, we can say that,
∠L ≅ ∠X
∠N≅ ∠Z
∠M ≅ ∠Y
ML ≅ XY
MN ≅ YZ
LN ≅ XZ

Thus, the required congruences that are true by CPCTC are LN ≅ XZ, ∠M ≅ ∠Y, and ML ≅ XY. Options A, C, and E are correct.

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A scale drawing represents an accurate, proportional representation of an object or space in a smaller or larger size.

A scale drawing is a visual representation of an object, structure, or space that is drawn to a smaller or larger scale compared to its actual size. It allows us to see and analyze the proportions, dimensions, and layout of an object or space without physically experiencing it in real life.

The value of a scale drawing lies in its ability to provide an accurate representation of the real world scenario in a more manageable and understandable format. It allows us to visualize and plan designs, constructions, and spatial arrangements with precision and clarity. Scale drawings are commonly used in various fields such as architecture, engineering, cartography, and design, where accuracy and proportionality are crucial.

By using a consistent scale factor, a scale drawing provides a reliable reference that helps us understand the relationships and measurements of objects or spaces in a way that is both practical and informative.

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Vertical lines will not be considered since their slopes are undefined and cannot be considered equal. If the lines are parallel horizontal lines, the slopes are both zero. Now let's consider all lines that are not vertical and not horizontal.

Answer:

18 +2

Step-by-step explanation:

it's like 3x you just add each side 3 then you will get the answer. and the (+2) stays the same.

Step-by-step explanation:

\(s = 2\pi(r)(r + h)\)

\( \frac{s}{2\pi(r)} = r + h\)

\( \frac{s}{2\pi(r) } - r = h\)

No, he should not be surprised. New Jersey Transit claims that the 8:00 a.m. train arrives late in New York on an average of 15 days a month. This means that the probability of the train arriving late on 3 or more days in a month is relatively high.  

To estimate this probability, one can carry out a simulation. First, generate a list of 20 random numbers between 0 and 1. Each number represents a day in the month and the probability of the train arriving late. Next, assign each number a value of 1 if it is less than or equal to 0.15 (the probability of the train arriving late on any given day), and 0 if it is greater than 0.15. This represents the arrival status of the train on each day.

Finally, sum the list of numbers to obtain the total number of days the train arrived late. Repeat this process multiple times and calculate the probability of the train arriving late on 3 or more of the 20 days.

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Answer:

Yes, Amy is right

Step-by-step explanation:

Given that:

Total number of books donated = 4287

Fiction books = 2596

Since the rest of the books are non fiction:

Number of nonfiction books :

Total number of books - number of fiction books

4287 - 2596

= 1691

Answer:

first blank: 15

second blank: 90

Step-by-step explanation:

Obviously, sin and cos are related, but they are not the same thing. In order for them to be equal:

sin(____) = cos(75)

the angles have to add up to 90 (complementary)

What + 75 is 90?

Do a tiny calc:

90 - 75 is 15

The second question is stating the rule generically.

x + (90 - x) is 90

Answer:

A. vertex, (3, 0); y-intercept 4.5

Step-by-step explanation:

Rewrite in vertex form and use this form to find the vertex  

( h , k ) . ( 3 , 0 )

To find the x-intercept, substitute in  0  for  y  and solve for  x . To find the y-intercept, substitute in  0  for  x  and solve for  y .

x-intercept(s):  

( 3 , 0 )

y-intercept(s):  

( 0 , 4.5 )

Answer:

\(81 {d}^{4} {e}^{7} \)

Step-by-step explanation:

Use properties of degrees:

1. When multiplying different degrees on one term, the degree indicators must be multiplied, for example:

\(( { {x}^{2}) }^{3} = {x}^{2 \times 3} = {x}^{6} \)

2. When dividing like terms (with the same base) with different degrees, the degree indicators must be subtracted, for example:

\( \frac{ {x}^{5} }{ {x}^{2} } = {x}^{5 - 2} = {x}^{3} \)

3. When squaring a negative term in parentheses, the minus is eliminated, for example:

\(( { - 3x})^{2} = 9 {x}^{2} \)

.

\( \frac{ {(( { - 3d})^{2} \times {e}^{4} )}^{3} }{ {9d}^{2} \times {e}^{5} } = \frac{729 {d}^{6} \times {e}^{12} }{9 {d}^{2} \times {e}^{5} } = 81 {d}^{4} \times {e}^{7} \)

Answer:

  3 1/2 quarts

Step-by-step explanation:

The fraction of the lemonade that is water can be determined from the ratio of water to lemon juice. That fraction of a gallon is the quantity of interest.

Of the 7+1 = 8 parts that make up the lemonade, 7 of those are water. That is, water is 7/8 of the lemonade.

Of the 4 quarts of lemonade, the quantity that is water will be ...

  (7/8)(4 quarts) = 7/2 quarts = 3 1/2 quarts . . . of water

The symbol ∠ is used to denote an angle. The symbol m ∠ is sometimes used to denote the measure of an angle.

x = 15

∠H = 82

∠I = 49

∠G = 49

Note that side HG and side HI are congruent ( indicated by the little dashed line ) which means that their opposite angles are congruent ( ∠I and ∠G to be more specific. )

Angles in a triangle add up to equal 180°

Hence, 3x + 37 + 2 ( 4x - 11 ) = 180 ( note that the 2 in 2(4x - 11) came from angles I and G being congruent )

We now solve for x

3x + 37 + 2 ( 4x - 11 ) = 180

step 1 distribute the 2 to the 4x and -11

2 + 4x = 8x

-11 * 2 = -22

we now have 3x + 37 + 8x -22 = 180

step 2 combine like terms

3x + 8x = 11x

37 - 22 = 15

we now have 11x + 15 = 180

step 3 subtract 15 from each side

15 - 15 cancels out

180 - 15 = 165

we now have 11x = 165

step 4 divide each side by 11

11x / 11 = x

165 / 11 = 15

we're left with x = 15

Our final step is to find the measures of ∠G, ∠H and ∠I

We can do this by simply replacing x with 15 in their given expression

∠H = 3x + 37

* substitute 15 with x *

3 ( 15 ) + 37

3 * 15 = 45

45 + 37 = 82

Hence, ∠H = 82

∠I = 4x - 11

* substitute x with 15 *

4(15) - 11

4 * 15 = 60

60 - 11 = 49

Hence, ∠I = 49

Like stated previously ∠G and ∠I are congruent

Hence, ∠G = 49

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We have the function:

We must identify the function that:

0. reflects the function across the y-axis,

1. shift it 6 units up.

1) To reflect the function across the y-axis we replace x by -x:

2) To shift the result 6 units up, we sum +6 on the right side:

Plotting both functions, we get:

Answer

Second option

Answer:

Given

distributive property

Subtraction property of equality

Addition property of equality

Division property of equality

Solution

Step-by-step explanation:

Answer:

9.42 (sorry if im late)

Step-by-step explanation:

I believe that if you take the radius and multiply it by pi (3.14), you get the circumfrence

3.14 x 3 = 9.42

The lifting force if the speed is 220 miles per hour is F' = 708.53 N.

The force of light, or simply light, is the sum of all forces on an object that cause the object to move perpendicular to the direction of flow.

The most common type of lift is the wing lift. But there are many other common uses, such as propellers on airplanes and ships, rotors on helicopters, fan blades, sails on sailboats, and wind turbines.

We have,

The lifting force, F, exerted on an airplane wing varies jointly as the area, A, of the wing's surface and the square of the plane's velocity, v. It, means that,

\(F=kAv^{2}\)

Where

k is constant

If, A = 190 Ft², v = 220 mph, F = 950 pounds

Now, find k first from the above data. So,

    \(k=\frac{F}{Av^{2} }\)

⇒ \(k=\frac{950}{190* (220)^2}\)

⇒ k = 0.0001033

It is required to find the lifting force on the wing if the plane slows down to 190 miles per hour.

Let F' is a new force. So,

    F' = 0.0001033 × 190 × (190)²

⇒ F' = 708.53 pounds.

So, the lifting force is 708.53 pounds if the plane slows down to 190 miles per hour.

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The required probability of rolling either 3 or 5 after rolling 12-sided number cube is given by 41.67%.

Number of sides of cube with faces numbered = 12

Sample space = 1,1,2,2,3,3,3,4,4,4,5,5

Probability

= ( number of favourable outcomes )/ (Total number of outcomes)

Probability of rolling either a 3 or 5

= (Number of ways 3 or 5 rolled )/ ( total number of possible outcomes)

Numbers of ways 3 rolled = 3

Number of ways 5 rolled = 2

Total number of ways 3 or 5 rolled = 5

Total number of cube number rolled = 12

Probability of rolling either a 3 or 5 = 5/12

                                                          = 0.41666

                                                        = 41.67% (rounded to the nearest tenth)

Therefore, the probability of rolling either a 3 or 5 is 41.67%( rounded to the nearest tenth).

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Answer:

these are the answers.

A is <

B is >

C is >

Using inequality, we know that the maximum number of students that can visit the amusement park is 30.

So, inequality represents the maximum number of students who can go to the amusement park:

Rounding off: x ≤ 30

Therefore, using inequality, we know that the maximum number of students that can visit the amusement park is 30.

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Parametric Equations

We are given the following equations:

We are required to find a set of parametric equations.

Let's set 't' as the parameter. We need to find x and y as functions of t.

Solving the first equation for x:

Substituting in the second equation:

This corresponds to the second choice