In the diagram shown below, triangle ABC is drawn along with point D.(a) Plot triangle A'B'C', the image of triangle ABC after a clockwise rotation of 90 degrees about Point D. Give the coordinates of the new vertices below.

Answer:

\(a(1) = 144\)

\(a(n) = 144{( - \frac{1}{6} )}^{n - 1} \)

\(a(n) = - \frac{1}{6} a(n - 1)\)

The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.

The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.What is the meaning of the inequality symbols?The inequality symbols are mathematical symbols that are used to compare two values.

They indicate the relationship between two values that are not equal to each other. Here are the inequality symbols:

< (less than)≤ (less than or equal to)> (greater than)≥ (greater than or equal to)What is the meaning of the sequence?

A sequence is a set of numbers arranged in a particular order. The order of the numbers in a sequence can be from smallest to largest or largest to smallest.

The sequence D. 2.14 < 2.8 < 3.16227766017 is arranged from smallest to largest because the first number in the sequence, 2.14, is the smallest, and the last number in the sequence, 3.16227766017, is the largest.

To learn more about : sequence

https://brainly.com/question/7882626

#SPJ8

Answer: banana- 88

Orange-55

Apple-143

Step-by-step explanation:

220 divided by 5, times 2,

that’s the banana trees

220 divided by 4, that’s the oranges

Add the answers together

Take the answer away from 220 that’s the apples

The value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is π/4 radians or 45 degrees.

The value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is π/4 radians or 45 degrees.What is inverse sine?

The inverse sine function or arc sine function is the inverse function of the sine function. It is defined as follows:If y = sin x, then x = sin-1 y, where x is the angle whose sine is y.

The range of the inverse sine function is from -π/2 to π/2 radians or from -90 to 90 degrees. It is denoted by sin-1 or arcsin.What is the value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction)?

Given that the value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is to be determined.

Using the formula, sin θ = opposite side/hypotenuse= (StartRoot 2) / 2= 0.707The angle whose sine is 0.707 can be found using a calculator or a unit circle.

The inverse sine of 0.707 is π/4 radians or 45 degrees.

To learn more about : value

https://brainly.com/question/843074

#SPJ8

Answer: 0.17666....

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

c.  8√(2^4 )

given 2^(4/8)  can be written as 2^(4×1/8)  

eg: 2^(1/2) is √2 hence same rule we can apply here and since 2^(1/8) we can write as 8√2 and given 2^4

further knowledge: so if asked to expand more we can write it as 8√16 simplifying this further we get 2^(1/2) which is actually √2

for more on square roots: https://brainly.com/question/29286039

Answer: 23.76 sq yds

Step-by-step explanation:

0.5*9.9*4.7=23.76

Area of triangle: 0.5*b*h

Answer:

\(ax \: \: \: \: \: \: \: \:xb\)

Answer:

There is no sufficient evidence to support  the claim that the boards are either too long or too short

Step-by-step explanation:

From the question we are told that

   The  population mean is \(\mu = 2599.0\)

    The sample size is  \(n = 23\)

     The  sample mean is  \(\= x = 2600.3 \ mm\)

    The  standard deviation is  \(\sigma = 13.0\)

     The  level of significance is  \(\alpha = 0.05\)

The  null hypothesis  is  \(H_o : \mu = 2599.0\)

  The  alternative  hypothesis is \(H_a : \mu \ne 2599.0\)

Generally the test statistics is mathematically represented as

            \(t = \frac{ \= x - \mu }{ \frac{\sigma}{ \sqrt{n} } }\)

=>          \(t = \frac{ 2600.3 - 2599.0 }{ \frac{13}{ \sqrt{ 23} } }\)

=>            \(t = 0.3689\)

Now from the normal distribution table  the critical value  of  \(\alpha\) is  

    \(Z_{\alpha } = 1.645\)

Hence from the evaluated and obtained value we see that

    \(t < Z_{\alpha }\)

Hence we fail to reject the null hypothesis  

  Thus we can conclude that there is no sufficient evidence to support  the claim that the boards are either too long or too short

Answer:

P represents the population in year 0

Step-by-step explanation:

The exponential growth function is f(x) = a (1 + r)^t, where a is the initial

amount (at t = 0), (1 + r) is the factor of growth , r is the rate of growth

in decimal ant is the time of growth

the function C(t) = P(1 + r)^t represents the population of

centerville at year t, where P is the initial population and r is the

rate of increase

If your investment is increased 10% annually, then that means

each year, your total has multiplied itself by 110% (the growth factor

is 1 + 10/100 = 1.1)

(1 + r) is the factor grows each year

C(t) = P(1 + r)^t

C depends on P(starting population) , r(the increasing rate and

t(the time in year)

r is the rate of increase means the percentage of increasing , then

0 < r < 1

r is not less than 0

P is the initial amount when t = 0

P represents the population in year 0

Answer:

P represents the population in year 0

Step-by-step explanation:

Answer:

3.76 is 8% of 47

Step-by-step explanation:

1. We assume, that the number 47 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 47, so we can write it down as 100%=47.

4. We know, that x% equals 3.76 of the output value, so we can write it down as x%=3.76.

5. Now we have two simple equations:

1) 100%=47

2) x%=3.76

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=47/3.76

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.76 is what percent of 47

100%/x%=47/3.76

(100/x)*x=(47/3.76)*x       - we multiply both sides of the equation by x

100=12.5*x       - we divide both sides of the equation by (12.5) to get x

100/12.5=x

8=x

x=8

now we have:

3.76 is 8% of 47

Here is one solution to the puzzle:

Squares: 2, 8, 16

Circles: 5, 7, 14

Total: 26

You can verify that each row of three numbers adds up to 26: 2 + 8 + 16 = 26, 5 + 7 + 14 = 26.

An even number is a number that can be divided into two equal groups. An odd number is a number that cannot be divided into two equal groups. Even numbers end in 2, 4, 6, 8 and 0 regardless of how many digits they have. Odd numbers end in 1, 3, 5, 7, 9.

Therefore, the correct answer is as given above

learn more about odd and even numbers: https://brainly.com/question/2263958

#SPJ1

Answer:

1

Step-by-step explanation:

The tenths place is the first place to the right of the decimal.

Ex:

1.39

3 is in the tenths place

Your ex:

20,407.1859

1 is in the tenths place

Answer:

First is.

Step-by-step explanation:

20 is in the tenths place,, this is like 3rd grade math

Answer:

Step-by-step explanation:

The top is rectangular pyramid

The second a sphere

The third is a cube

Triangular pyramid is the last

Answer: The last option. X is greater than or equal to -3

Step-by-step explanation:

If you are searching for all of the values highlighted in red, then it must be every single value greater than x=-3 including the value itself (the dot located on the value is shaded, therefore you must include it within the domain).

Answer:

21

Step-by-step explanation:

15-(-6)=21

Answer:

21

Step-by-step explanation:

Since (-6) is a negative number, we will have to cancel it out with positive 6 to get to 0. Then you add 6 and 15 to get 21.

The sum of expected marks is given as follows:

9375.

Each question has four choices, hence the probability of choosing the correct choice is given as follows:

p = 1/4 = 0.25.

Then the expected number of correct answers is given as follows:

E(X) = 0.25 x 150

E(X) = 37.5.

Then the expected grade for a single student is given as follows:

37.5 - 0.25(150 - 37.5) = 9.375.

The expected sum for the 1000 students is then given as follows:

1000 x 9.375 = 9375.

Learn more about the concept of probability at https://brainly.com/question/24756209

#SPJ1

The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

for such more question on temperature

https://brainly.com/question/14820864

#SPJ8

The general formula for a exponential function is:

Where:

A0 = initial amount

b = growth factor

k = growth rate

t = time

Answer

A0 best describes the initial amount

Answer:

4m = 56

Step-by-step explanation:

4 * m = 56

4m = 56

4/4m = 56/4

m = 14

Answer: 35.0 units long.

Step-by-step explanation:

You can treat a rhombus as four right triangles, where there is a short side, a long side, and a hypotenuse.

The hypotenuse of a right triangle inside a rhombus will always be on the exterior.

To find the hypotenuse of one of the right triangles, use the Pythagorean theorem:

\(a^2 + b^2 = c^2\)

We are given that a = 9 and b = 15, but in order to get the values needed for the theorem, we must divide them by 2 in order to get the sides for the triangles.

9 / 2 = 4.5, 15 / 2 = 7.5

Then, you can substitute your values into the Pythagorean theorem:

\(4.5^2 + 7.5^2 = c^2\\\\20.25 + 56.25 = 76.5\\\\c^2 = 76.5\\c = 8.7464\)

Knowing that one of the external sides is 8.7464 units long, you can then multiply that value by 4 to get your perimeter, as there are four identical sides forming the perimeter:

8.7464 * 4 = 34.9856. Rounded: 35.0

8.6 or 9

Step-by-step explanation:

2 3 4 6 7 8 9 9 9 10 13 15 18

\(2 + 3 + 4 + 6 + 7 + 8 + 9 + 9 + 9 + 10 + 13 + 15 + 18 = 113 \\ 113 \div 13 = 8.6\)

Answer:

Here, we are required to determine the value of f(-4) given the graph of a function f(x) as in the attached image.

The value of f(-4) given the graph of the function f(x) as in the attached image is; f(-4) = 2.

The graph of the function f(x) is a curve, where x is the independent variable and f(x) is dependent on the value of x.

By observation, each box on the represents 1 unit on the x- and f(x) axis.

Ultimately, the point f(x) which corresponds to the point where x = -4 is; f(-4) = 2.

Therefore, f(-4) = 2 according to the graph of the function f(x) as given in the attached image.

Step-by-step explanation:

Answer:

M_ -6f

T_ -4f ( T+W= -2F= 6-2=4 = -4f (changing it the greater change would be -4 cause it is meaning as in it changed from 6 to 4 and it didn't talk about if Sunday to Monday temp was sooo (btw if your teacher takes a quick glance of your hw just write down a correct answer on two questions in bolder pencil to catch her eyes to only that)

Step-by-step explanation:

Answer:

The first number: 11;

The second number: 22;

The third number: 33

Step-by-step explanation:

The first number: 11

The second number: 11 x 2 = 22

The third number: 11 x 3 = 33

11 + 22 + 33 = 66

Answer:

11 and 22

Step-by-step explanation:

let the first number ne x then second is 2x and third is 3x and sum is

x + 2x + 3x = 66 , that is

6x = 66 ( divide both sides by 6 )

x = 11

2x = 2 × 11 = 22

first number is 11 and second number is 22

Answer:

An = 32 - (4*(n-1))

Step-by-step explanation:

the starting term for this pattern is 32 (which you will need to include in the "rule")

you also know that the next term is the previous term - 4

so!

we can write this pattern as

An = 32 - (4*(n-1))

An = any number of term in the pattern

- ex). A2 = 28, A3 = 24, etc

n = the nth term

- the 3rd term = 24, the fourth term = 20, etc

Answer:sum: -1/6

Step-by-step explanation:

a. In interval notation, Increasing intervals: (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm). Decreasing intervals: (8am, 9am) U (11am, 12pm). Constant intervals: (9am, 10am) U (10am, 11am)

b. The increase in cost between 12 noon and 3 pm is $2.

c. Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

Interval notation is used to represent continuous intervals of numbers or values, like ranges on a number line.

The graph shows that from 8-9am, and 11-12pm, the cost from Swift Ride decreases.

We can represent it as (8am, 9am) U (11am, 12pm).

It increases at these times (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm).

And stays constant at : (9am, 10am) U (10am, 11am)

We simply deduct the 12pm's cost from 3pm's cost.

So, we have

Cost increase = $3.5 - $1.5

Evaluate the difference

Cost increase = $2

Hence, the cost increase is $2

When you plot the points provided for Yellow cab, you'll notice that Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

Find more exercises on Interval notation;

https://brainly.com/question/17249352

#SPJ1