Write an equation and find the 10th term of the sequence 4500, 1500, 500, 166.67...

Answer:

The area of the piece of paper is 466 cm²

Step-by-step explanation:

First you would want to find the area of the rectangle

39x20=780 cm²

Both semi-circles are the same, so you can just find the area of the whole circle

The diameter is 20 cm so you would use 10 as the radius

A=πr²

A=3.14x10²

A=3.14x100

A=314

Then you have to subtract the area of the circle from the area of the rectangle.

780-314=466

The area of the piece of paper is 466 cm²

Answer:

Amount left for gift C = \(4\frac{19}{20}\) dollars

Step-by-step explanation:

Given that:

Amount Cora have to spent on gifts = $20

Amount spent on gift A = \(11\frac{1}{4}=\frac{45}{4}\) dollars

Amount spent on gift B = \(3\frac{4}{5}=\frac{19}{5}\) dollars

Amount spent on gift C = x

Total amount = Gift A + Gift B + Gift C

20 = \(\frac{45}{4}+\frac{19}{5}+x\)

20 = \(\frac{225+76+20x}{20}\)

\(400=301+20x\\400-301=20x\\99=20x\\20x=99\\\)

Dividing both sides by 20

\(\frac{20x}{20}=\frac{99}{20}\\\\x=4\frac{19}{20}\)

Hence,

Amount left for gift C = \(4\frac{19}{20}\) dollars

Data set 1:

Data set 2:

Dot plot for data set 1:

29  32  40  49  54  62  70

Dot plot for data set 2:

1  2  3  3  3  6  6  9  15  28

To find the mean, add up all the numbers in the data set and divide by the total number of values in the set.

mean = (49 + 32 + 62 + 40 + 29 + 32 + 70 + 54) / 8

     = 46.375

Lower quartile (Q1): To find the lower quartile (Q1), first arrange the data set in ascending order, and then find the median of the lower half of the set.

29  32  32  40  49  54  62  70

Q1 = median of first 4 values = (32 + 32 + 40 + 49) / 4 = 37

Upper quartile (Q3): To find the upper quartile (Q3), first arrange the data set in ascending order, and then find the median of the upper half of the set.

29  32  32  40  49  54  62  70

Q3 = median of last 4 values = (54 + 62 + 70) / 4 = 62

Read more about interquartile here:

https://brainly.com/question/17083142

#SPJ1

To find the differential equation for a family of curves, we need to find an equation that relates the variables involved in the curves. For example, consider the family of curves given by:

y = mx + c

where m and c are constants. To find the differential equation for this family of curves, we can take the derivative of both sides with respect to x:

dy/dx = m

This is the differential equation for the family of curves.

To find the family of orthogonal trajectories, we need to find a new family of curves that intersect the original family of curves at right angles. We can use the fact that the product of the slopes of two perpendicular lines is -1. So, if the differential equation for the original family of curves is:

dy/dx = f(x, y)

then the differential equation for the family of orthogonal trajectories is:

dy/dx = -1/f(x, y)

To find a specific orthogonal trajectory, we need to solve this differential equation for y as a function of x.

Learn more about curves here:

https://brainly.com/question/31389331

#SPJ11

The number from the grid that fulfills all the given clues is; 12

The grid is shown in the attached image.

Now, we are told that Manju and Arif are thinking of a number on the grid and the clues are;

It is a multiple of 3.

It is even.

It is in the third row.

Now, looking at the third row, we see the numbers as;

11, 12, 13, 14, 15

Now, the only number that fulfills all the given clues is 12.

Read more about Multiple of a Number at; https://brainly.com/question/10749076

#SPJ1

Answer:

$1.27

$9030.56

$2,210.34

Step-by-step explanation:

The formula for calculating future value:

FV = P (1 + r/n)^nm

FV = Future value  

P = Present value  

R = interest rate  

m = number of compounding

N = number of years  

1. 1( 1 + 0.24 /12)^12 = $1.27

2. 5000 ( 1 + 0.12 /4)^( 5 x 4) = $9030.56

the formula for calculating future value when there is continuous compounding is : A x e^r x N

A= amount e = 2.7182818 N = number of years r = interest rate

3. 1000 x e^0.1 x 2 = $2,210.34

Answer:

The type of number that represents -4/2 is:

Choice B) Integer

Choice C) Rational

Step-by-step explanation:

The number -4/2 is an integer because it represents a whole number (-2) and it is also a rational number because it can be expressed as a fraction of two integers.

-4/2 is an :

Solution:

Before we make any decisions about the type of number -4/2 is, let's simplify it first.

It's the same as -2. Now, let's familiarize ourselves with the sets of numbers out there. Where does -2 fit in?

______________

This set incorporates only positive numbers and zero. So -2 doesn't belong here.

This set incorporates whole numbers and negative numbers. So -2 belongs here.

This set has integers, fractions, and decimals. So -2 does belong here too.

This is a set for numbers that cannot be written in fraction form (a/b, where b ≠ 0). So -2 doesn't belong here.

-4/2 belongs in the integer and rationals set.

Answer:

  5x³ -13x² -13x +21

Step-by-step explanation:

The distributive property is used to eliminate parentheses. Then like terms are combined.

  (x -3)(5x² +2x -7) = x(5x² +2x -7) -3(5x² +2x -7)

  = 5x³ +2x² -7x -15x² -6x +21

  = 5x³ -13x² -13x +21

The Laplace transform of the given function is,

L{f(t)} = (8/s) - 4e^{-3s/2}/s - 6e^{-2s}/s

Given function is f(t) = {8 12 1 Jo, 0 ≤ t < 3/2, 3/2 ≤ t < 2, 2 ≤ t < ∞ respectively.

We have to find Laplace transform of the given function.

For first interval 0 ≤ t < 3/2,

f(t) = 8u(t) - 8u(t-3/2)

For second interval 3/2 ≤ t < 2,

f(t) = 12u(t-3/2) - 12u(t-2)

For third interval 2 ≤ t < ∞,

f(t) = Jo(u(t-2))

Hence, we can write the Laplace transform of the given function as,

L{f(t)} = L{8u(t) - 8u(t-3/2)} + L{12u(t-3/2) - 12u(t-2)} + L{Jo(u(t-2))}

Where, L is Laplace transform.

Let's calculate each Laplace transform stepwise,

1. L{8u(t) - 8u(t-3/2)}L{8u(t)} = 8/L{u(t)}L{u(t)}

= 1/sL{u(t-3/2)}

= e^{-3s/2}/s

Therefore,

L{8u(t) - 8u(t-3/2)} = 8[1/s - e^{-3s/2}/s]

2. L{12u(t-3/2) - 12u(t-2)}L{12u(t-3/2)}

= 12e^{-3s/2}/sL{12u(t-2)}

= 12e^{-2s}/s

Therefore,

L{12u(t-3/2) - 12u(t-2)} = 12[e^{-3s/2}/s - e^{-2s}/s]

3. L{Jo(u(t-2))}L{Jo(u(t-2))} = ∫_{0}^{∞}δ(t-2)e^{-st}dtL{Jo(u(t-2))}

= e^{-2s}

Hence, the Laplace transform of the given function is,

L{f(t)} = 8[1/s - e^{-3s/2}/s] + 12[e^{-3s/2}/s - e^{-2s}/s] + e^{-2s}

= (8/s) - 4e^{-3s/2}/s - 6e^{-2s}/s

To know more about Laplace visit:

https://brainly.com/question/30759963

#SPJ11

Answer:

You didn't tell me which one is the base or height

Step-by-step explanation:

Area of a triangle: \(\frac{1}{2} bh\)

Answer:353.4

Step-by-step explanation: V= 3.14 R2 H so  3.14 x 32 (2 is squared) x 12.5 = 353.42917

round to the nearest 10th which is 353.4

The parent function of a quadratic equation is f(x) = x². The function that is transformed to the right and down from the parent function with a minimum is given by f(x) = a(x - h)² + k.

The equation has the same shape as the parent quadratic function. However, it is shifted up, down, left, or right, depending on the values of  a, h, and k.

For a parabola to have a minimum value, the value of a must be positive. If a is negative, the parabola will have a maximum value.To find the vertex of the parabola in this form, we use the vertex form of a quadratic equation:f(x) = a(x - h)² + k, where(h, k) is the vertex of the parabola.The vertex is the point where the parabola changes direction. It is the minimum or maximum point of the parabola. In this case, the parabola is transformed to the right and down from the parent function, f(x) = x². Therefore, h > 0 and k < 0.

Know more about quadratic equation here:

https://brainly.com/question/12186700

#SPJ11

Answer: A = 15cm squared

Step-by-step explanation:

I think :)

Given that the base of the prism is 4 cm by 3 cm and the height is 5 cm, the volume can be calculated as:

The volume of the prism = (length x width x height)

By applying the given values:

Volume of prism = 4 cm x 3 cm x 5 cm

The volume of the prism = 60 cubic cm

That implies the volume of the rectangular prism is 60 cubic cm.

We know that the pyramid's base measures 4 by 3 cm and its height is 5 cm, the base's area may be calculated as follows:

Area of base = length x width

Area of base = 4 cm x 3 cm

Area of base = 12 square cm

The volume of the pyramid can now be calculated as:

Volume of pyramid = (area of base x height) / 3

Volume of pyramid = (12 square cm x 5 cm) / 3

The volume of the pyramid = 20 cubic cm

Therefore, the volume of the square pyramid is 20 cubic cm.

To learn more about the volume of the pyramid:

https://brainly.com/question/17615619

https://brainly.com/question/16177070

Of those four options, only the third one is a function.  

The one with x-values of -11, -14, -17, and -20.

This is the only relationship between x and y values where all x-values are paired with no more than one y-value.

The first two graphs fail the vertical line test.

The last diagram has the x-value of 22 paired with two different y-values.

60mph = 3 hrs long

45mph = 4 hrs long

sorry i took so long i had a brain fart for a sec!

have a luvly day

The correct sequence of project phases is Definition - Planning  - Performance. The correct answer is B.

This is the typical order of project phases in a traditional project management approach. It starts with the definition phase, where the project's goals, the scope, and the requirements are established.

Then comes the planning phase, where the project plan is developed, including the allocation of resources, scheduling, and budgeting.

Finally, the performance phase begins, during which the project activities are executed, monitored, and controlled to ensure the successful project completion.

Therefore the sequence of project phase is  Definition - Planning  - Performance The correct answer is B.

Learn more about project phase at https://brainly.com/question/8963262

#SPJ11

Answer:

\(y = \frac{1}{8} x - 3\)

Step-by-step explanation:

Formula for straight lines:

\(y = mx + b\)

where m = slope, b = constant

Given:

y-intercept = -3 (0, -3)

m = ⅛

Substitute into formula to find b.

\( - 3 = \frac{1}{8} (0) + b \\ - 3 = 0 + b \\ b = - 3\)

Substitute b into original formula

\(y = mx + b \\ y = \frac{1}{8} x + ( - 3) \\ y = \frac{1}{8} x - 3\)

Answer:

13^2 = 12^2 + X^2

Step-by-step explanation:

The side with the 13^2 is the longest side so we need add the shortest side  X^2 and the second longest side 12^2

Answer: D) Increase the sample size and decrease the confidence level.

Step-by-step explanation:

A reduced interval width means that the data is more accurate. This can only be achieved if the sample size is increased because a larger sample size is able to capture more of the characteristics of the variables being tested.

A smaller confidence interval will also lead to a reduced interval width because it means that the chances of the prediction being correct have increased.

Answer: 0.0625

Step-by-step explanation:

Answer:

0.031

Step-by-step explanation:

Just trust me on this. It's right

The expression that has a term with a coefficient greater than 1 is

3) 5 + 3m.

A quantity or number that is combined with a variable is known as a coefficient. The variable is often multiplied by an integer, which is then printed next to it.

Terms that have the same variables raised to the same power are referred to as like terms. The only difference is in the numerical coefficients.

We know a coefficient is a constant term that is with a variable.

By observing the given options we conclude that the expression

5 + 3m has a coefficient which is 3 and it is greater than 1.

Q. Which expression has a term with a coefficient greater than 1?

1) m -5×3.

2) 5 + m.

3) 5 + 3m.

4) 5/6m + 3.

learn more about coefficients here :

https://brainly.com/question/30066987

#SPJ1

The  Trigonometric Identity sin² x + cos²x = 1 is: A. Pythagorean Identity.

The Pythagorean Identity which  tend to asserts that for every angle x, the sum of the squares of the sine and cosine of x is equal to one  is known as or called a  trigonometric identity.

The  Pythagorean identity can be expressed as:

sin² x + cos² x = 1

This identity is crucial to understanding trigonometry and tend to have several uses in numerous branches of science and engineering.

Therefore the correct option is A.

Learn more about Pythagorean Identity here:https://brainly.com/question/24287773

#SPJ1

.no lo sé, pero como necesito puntos, ¿sí?

In the picture there is a prism. The volume of the prism is 120 yards³. The prism stands 8 yards height.

Given that,

In the picture there is a prism.

The volume of the prism is 120 yards³.

The base is 6 yards and the length is 5 yards.

We have to find the height of the prism.

Take the height of the prism as h.

The volume of a prism is the space that it occupies.

The formula for volume of the prism is (base×height×length)/2

120=(6×h×5)/2

120×2=30×h

240=30h

h=240/30

h=8

Therefore, The prism stands 8 yards height.

To learn more about height visit: https://brainly.com/question/10726356

#SPJ13

Answer:

The asnwer in the bottom right corner is correct. When multiplying exponents with the same base all you do is add the exponent for example: For 9 to the 6 power times 9 to the 4 power the answer is 9 to the 10 since we just add 4 and 6

Step-by-step explanation:

Answer:    

29 feet in lenght, 5 feet in width and 12 feet in height

Step-by-step explanation:

that shou

ld be your answer

The probability of selecting a permutation in which 1 precedes 2 among all permutations of {1, 2, ..., n} (where n ≥ 4) is 31​.

To find the probability, we need to determine the total number of permutations in which 1 precedes 2 and divide it by the total number of permutations of {1, 2, ..., n}. Let's consider the condition that 1 precedes 2. In any permutation, there are (n-2)! ways to arrange the remaining numbers {3, 4, ..., n}. Once we fix the positions of 1 and 2, we have 2! ways to arrange them among themselves. Therefore, the total number of permutations in which 1 precedes 2 is (n-2)! * 2!.

The total number of permutations of {1, 2, ..., n} is n!.

Hence, the probability of selecting a permutation where 1 precedes 2 is ((n-2)! * 2!) / n!.

Let's substitute n = 4 into the equation. In this case, we have ((4-2)! * 2!) / 4! = (2! * 2!) / 4! = 4 / 24 = 1/6 = 31​.

Therefore, the probability of selecting a permutation in which 1 precedes 2 is 31​.

Learn more about probability here:

https://brainly.com/question/32117953

#SPJ11

Option 234 cm is the correct option.

The measurement equivalent to 2.34 meters is: 234 cm

To convert meters to centimeters,

you multiply the number of meters by

100.

So, 2.34 meters multiplied by 100 is equal to 234 centimeters.

An object is only identified or classified using numbers on a nominal scale, which is a measuring scale. Only non-numeric (quantitative) factors or situations where numbers have no meaning are often addressed by this assessment.

By increasing the number of metres by 100, one may convert measurements from metres to centimetres. One metre equals one hundred centimetres, or 1 m = 100 cm, as is common knowledge.

Cm is used to represent it in writing. It may also be described as the unit of length in the current metric system, the International System of Units (SI). It is equal to one hundredth of a metre.

For such more question on measurement

https://brainly.com/question/28012687

#SPJ4