Regular quadrilateral prisim has a height h=11 cm and base edges b=8 cm find the sum of all edges

Answer:

Step-by-step explanation:

Opposite angles in a cyclic quadrilateral are supplementary, so angle C measures 180-105=75 degrees.

The correct answer is option A - True. An array is a data structure in programming that allows you to store a collection of values of the same data type in a single variable.

Each value is assigned an index number, starting from 0, which represents its position in the array.  Arrays are useful in programming because they allow you to store and manipulate multiple values using a single variable. This can help simplify code and make it more efficient.

For example, if you wanted to store the grades of 10 students in a program, you could create an array of 10 elements and assign each grade to a specific index in the array.  In addition to storing data, arrays can also be used to perform calculations and manipulate data.

For example, you could use a loop to iterate through an array and calculate the average of all the values stored in the array. Overall, arrays are a powerful tool in programming that can help you organize and manipulate data.

By thinking of an array as a collection of variables contained within a single variable, you can better understand how arrays work and how to use them effectively in your programs.

To know more about variable click here

brainly.com/question/2466865

#SPJ11

Explanation:

Each set spans from 3 to 7 as the min and max. Since we're dealing with the same endpoints, we have perfect overlap.

Answer:

See below in bold.

Step-by-step explanation:

1. x^2 - 13x - 30

We need 2 numbers whose product is -30 and whose sum = -13.

They are  -15 and + 2:

Answer is (x - 15)(x + 2).

2.   2x^2 + 4x - 126

First we can take 2 out to give:

2(x^2 + 2x - 63)

Now we need 2 numbers whose product is - 63 and sum = +2.

These are +9 and - 7 so

Answer is  2(x - 7)(x + 9).

3. -30x^3 + 3x^2 + 9x

First we can take out -3x to give

-3x(10x^2 - x - 3)

Now we want  2 numbers whose product is 10*-3  = -30 and whose sum is -1. They are  -6 and +5 so we write the above as:

-3x(10x^2 + 5x - 6x - 3)

Now we factor the parentheses by grouping:

= -3x( 5x(2x + 1) - 3(2x + 1)

= -3x(2x + 1)(5x - 3)  Answer.

The answer to the second part is 12x^2 - 13x - 21.

Part 3

1, 18.

2. 6.

3. = 5(2(-3)^2 - 3*3*4 + 4^2) - 3)) - 2(-3)(-3 + 7(4) - 1) - 3*4^2

=  5*(67) - 2(72) - 48

= 143.

4.  (11m^2 - 7) - (6m^2 + 3m - 11) + (3m^2 - m - 9)

= 11m^2 - 7 - 6m^2 - 3m + 11 + 3m^2 - m - 9

=  8m^2 - 4m - 5

A = 8, B = 4 and C = 5.

Answer:

1. division property of inequality

2. Perimeter is used to represent the distance around an object, and volume is the space inseide a three dimensional object.

Step-by-step explanation:

Answer:

1- (D)Division property of Inequality.

2-(B)Perimeter represents space inside a two-dimensional object. You use volume to measure the distance around an object.

Trust me.

Step-by-step explanation:

1- Explanation for the first answer is if you divide 3r%16 you will get 4r

2- I already explained it.

The corporation should deposit $4,298.46 at the end of each month into the sinking fund.

The amount of interest earned over the life of the account is: $47,616.64.

The value of the fund after 2, 4, 6 are $56,243.62, $115,263.54, $178,155.28 respectively.

The interest earned during the second month of the 7th year is $317.13

To determine the amount that should be placed in the sinking fund at the end of each month, we can use the formula for present value of an annuity:

PV = R[(1-(1+i)^(-n))/i]

where:

PV = present value of the sinking fund

R = monthly deposit

i = monthly interest rate

n = number of months

We know that the sinking fund needs to have a future value of $460,000 in 8 years. If we assume monthly deposits and monthly compounding, we have:

PV = 0

FV = $460,000

i = 6.5%/12 = 0.00541667

n = 8 years * 12 months/year = 96 months

Using the formula, we can solve for R:

R = (FV*i)/((1+i)^n - 1) = ($460,000 * 0.00541667)/((1+0.00541667)^96 - 1) = $4,298.46

Therefore, the corporation should deposit $4,298.46 at the end of each month into the sinking fund.

To determine the amount of interest earned over the life of the account, we can subtract the total amount deposited from the total amount in the sinking fund at the end of 8 years:

Total amount deposited = $4,298.46/month * 96 months = $412,383.36

Total amount in sinking fund after 8 years = $460,000

Interest earned = $460,000 - $412,383.36 = $47,616.64

To determine the value of the fund after 2, 4, and 6 years, we can use the formula for future value of an annuity:

FV = R[((1+i)^n - 1)/i]

where:

FV = future value of the sinking fund

R = monthly deposit

i = monthly interest rate

n = number of months

After 2 years, we have:

FV = $4,298.46[((1+0.00541667)^(2*12)) - 1]/0.00541667 = $56,243.62

After 4 years, we have:

FV = $4,298.46[((1+0.00541667)^(4*12)) - 1]/0.00541667 = $115,263.54

After 6 years, we have:

FV = $4,298.46[((1+0.00541667)^(6*12)) - 1]/0.00541667 = $178,155.28

To determine the interest earned during the second month of the 7th year, we can first calculate the total amount in the sinking fund at the beginning of the 7th year:

FV = $4,298.46[((1+0.00541667)^(6*12)) - 1]/0.00541667 = $178,155.28

Then, we can calculate the amount of interest earned during the first month of the 7th year:

Interest earned = $178,155.28 * 0.00541667 = $964.11

Finally, we can calculate the amount of interest earned during the second month of the 7th year by subtracting the interest earned during the first month from the total interest earned during the 7th year:

Interest earned during second month = $47,616.64 * (0.065/12) - $964.11 = $317.13

Therefore, the interest earned during the second month of the 7th year is $317.13

Learn more about sinking fund

brainly.com/question/29898700

#SPJ11

The integration of the given function using substitution and matching it with the Taylor series is equal to 4/3.

Step 1: Find the Taylor series of the given function f(x).

f(x) = e^(x^2)cos(x)

Therefore, we can say that the Taylor series of the given function is: f(x) = 1 + x^2 + (1/2)x^4 + (1/6)x^6 + (1/24)x^8 + ...

Step 2: Substitute the required value of x into the Taylor series. Let us substitute x = 1 into the Taylor series we got above.

f(1) = 1 + 1^2 + (1/2)1^4 + (1/6)1^6 + (1/24)1^8 + ...

f(1) = 1 + 1 + (1/2) + (1/6) + (1/24) + ...

Step 3: Simplify the expression to get the answer. We can simplify the above expression by using the formula for the sum of an infinite geometric series. The formula is given as follows:

Sum of infinite geometric series = a / (1 - r), where a is the first term and r is the common ratio. Here, a = 1 and r = 1/4. Sum of the series = a / (1 - r) = 1 / (1 - 1/4) = 4/3.

Therefore, we can say that the integration of the given function using substitution and matching it with the Taylor series is equal to 4/3.

To learn more about Taylor series refer :

https://brainly.com/question/28158012

#SPJ11

Answer:

47°

Step-by-step explanation:

So we know <AOC = <BOC+<AOB

The angles in a straight angle always add to 180, and we are given expressions for <BOC and <AOB, so we can write the above expression like this:

180 = 6x+29 + 3x+124

180 = 9x+153

9x=27

x=3

Now sub our value for x into the expression for <BOC:

<BOC = 6x+29 = 6(3) +29 = 18+29=47

Check the picture below.

since the triangle is equilateral, is also equiangular.

\(a\sqrt{3}=\sqrt{6}\implies a=\cfrac{\sqrt{6}}{\sqrt{3}}\implies a=\cfrac{\sqrt{2\cdot 3}}{\sqrt{3}}\implies a=\cfrac{\sqrt{2}\sqrt{3}}{\sqrt{3}}\implies a=\sqrt{3} \\\\[-0.35em] ~\dotfill\\\\ 2a=x\implies {\Large \begin{array}{llll} 2\sqrt{3}=x \end{array}}\)

Step-by-step explanation:

Lola's pet turtle walked 10 feet, and then half that length again. This means that Lola's pet turtle walked:

= 10 + (1/2 × 10) = 10 + 5 = 15 feet

Lola's baby brother walked 3 feet, and then half that length again. Total length walked will be:

= 3 + (1/2 × 3) = 3 + 1.5 = 4.5 feet

Lola's hamster walked 6.5 feet, and then half that length again. Total length walked will be:

= 6.5 + (1/2 × 6.5) = 6.5 + 3.25 = 9.75

Lola's mom walked x feet, and then half that length again. Total length walked will be:

= x + (1/2 × x) = x + 0.5x = 1.5x

Total feet walked by the whole member of the family will be:

= 15 + 4.5 + 9.75 + 1.5x

= 29.25 + 1.5x

Answer:

turtle: 10 + 5 = 15

brother:  3 + 1 1/2 = 4 1/2

hamster: 6 1/2 + 3 1/4 = 9 3/4

Mom: x + 1/2x = 1 \(\frac{1}{2}\)x

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

You can literally do it mentally lol

 $500,000

- $250,000

 $250,000

so by common sense, it's 50%

Hope it helped!

Answer:

50%

Step-by-step explanation:

50% of the value of the house dropped.

So 50% of 500,000.

Answer:    0.185

Step-by-step explanation:

Divide 120.99 and 654:

120.99÷654=0.185

So the final answer is 0.185 units.

Answer:

\(1.5 \times 2.5 \times 2.5 \\ = 1.5 \times 25 \times 25 \times .1 \times .1 \\ ({25}^{2} = 625) \\ 1.5 \times 625 \times .01 \\ 1.5 \times 6.25 \\ = 9.375 \\ thank \: you\)

Based on the given information, the regression that represents the estimated production function model for firm output in the industry is:

c. log(Q1) = 10.74 + 0.032 Li

The regression equation in option c represents a logarithmic relationship between the output (Q1) and the number of workers employed (Li). Taking the logarithm of the output variable allows for a more flexible functional form and captures potential diminishing returns to labor.

In the regression equation, the constant term (10.74) represents the intercept or the level of output when the number of workers is zero. The coefficient of 0.032 (0.032 Li) indicates the relationship between the logarithm of output and the number of workers employed.

Since the question states that employing another worker leads to a 32 percent increase in output, this aligns with the coefficient of 0.032 in the regression equation. It suggests that a 1 percent increase in the number of workers (Li) leads to a 0.032 percent increase in output, which is equivalent to a 32 percent increase.

Therefore, the regression equation in option c best represents the estimated production function model in this scenario.

Learn more about function here: brainly.com/question/30660139

#SPJ11

Answer:

I PINE FIR YEW

Step-by-step explanation:

The surface area of a polygon will be 4LW + 2W² square units.

A closed solid with two parallel rectangular bases joined by a rectangle surface is known as a rectangular prism.

Let the prism with a length of L, a width of W, and a height of H. Then the surface area of the prism is given as

SA = 2(LW + WH + HL)

If the two sides of the rectangle become the same that is W = H. Then the surface area of the prism is given as,

SA = 2(LW + W × W + WL)

SA = 2(2LW + W²)

SA = 4LW + 2W²

The surface area of a polygon will be 4LW + 2W² square units.

More about the rectangular prism link is given below.

https://brainly.com/question/12649592

#SPJ1

Answer:

3.7

Step-by-step explanation:

39.5 - 35.8 is 3.7

\(39.51=40\\ 35.78=36\\\\ 40-36=16 more seconds more than Bailey.\)

if its any number from 5 and larger, you can round it up to a whole.  

9514 1404 393

Answer:

  C.  3x² +24

Step-by-step explanation:

Use the given function definitions and simplify.

  \(g(f(x))=g\left(\dfrac{1}{3}x^2+4\right)\\\\=9\left(\dfrac{1}{3}x^2+4\right)-12\\\\=3x^2+36-12\\\\\boxed{g(f(x))=3x^2+24}\qquad\textbf{matches C}\)

Answer: x^2 + 2x - 2 = 0

Step-by-step explanation:

subtract 2x from both sides to get -2 + 2x + x^2 = 0

arrange terms to get x^2 + 2x - 2 = 0

To convert the given decimal numbers to hexadecimal and then to binary, we will first convert the integer part and then the decimal part separately. Here are the conversions:

(a) 757.2510 = 2F5.4A16 = 001011110101.010010102
(b) 123.1710 = 7B.2B16 = 011110110010.101100112
(c) 356.8910 = 164.E814 = 000101100100.1110100001012
(d) 1063.510 = 42F.8A16 = 010000101111.1000101012


(a) 757.2510
Hexadecimal: 2F5.4 (integer: 757 = 2F5, decimal: 0.25 ≈ 4/16)
Binary: 1011110101.0100 (integer: 2F5 = 1011110101, decimal: 4/16 = 0.0100)

(b) 123.1710
Hexadecimal: 7B.2B (integer: 123 = 7B, decimal: 0.17 ≈ 2B/256)
Binary: 1111011.00101011 (integer: 7B = 1111011, decimal: 2B/256 = 0.00101011)

(c) 356.8910
Hexadecimal: 164.1C (integer: 356 = 164, decimal: 0.89 ≈ 1C/256)
Binary: 101100100.00011100 (integer: 164 = 101100100, decimal: 1C/256 = 0.00011100)

(d) 1063.510
Hexadecimal: 427.83 (integer: 1063 = 427, decimal: 0.51 ≈ 83/256)
Binary: 10000100111.10000011 (integer: 427 = 10000100111, decimal: 83/256 = 0.10000011)

Visit here to learn more about  integer : https://brainly.com/question/15276410
#SPJ11

Answer:

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

The given polynomial is 2x² + 7x + 5.

Let α and β be the roots of the polynomial.

Using the sum and product of roots of a quadratic equation, we have:

Then:

Therefore, the answer is -1.

Answer:

y=16

Step-by-step explanation:

If x=-2, then we can substitute for x in the y+3(-2)=10. y-6=10, we add 6 to both sides to isolate y giving y=16

Answer:

\(a_n=4n-11\)

Step-by-step explanation:

The common difference is \(d=4\) with the first term being \(a_1=-7\), so we can generate an explicit formula for this arithmetic sequence:

\(a_n=a_1+(n-1)d\\a_n=-7+(n-1)(4)\\a_n=-7+4n-4\\a_n=4n-11\)

Answer:

Step-by-step explanation:

To write a recursive sequence that represents the sequence defined by the explicit formula an = 10 + 4(n + 1), we need to find a recursive formula that relates each term in the sequence to the previous term.

We can start by noticing that the explicit formula for the first term (a1) is:

a1 = 10 + 4(1 + 1) = 18

To find the next term (a2), we substitute n = 2 into the explicit formula:

a2 = 10 + 4(2 + 1) = 22

To find the third term (a3), we substitute n = 3 into the explicit formula:

a3 = 10 + 4(3 + 1) = 26

We can see that each term in the sequence is obtained by adding 4 to the previous term. Therefore, we can define the recursive formula as follows:

a1 = 18

an+1 = an + 4

This recursive formula states that the first term of the sequence is 18, and that each subsequent term is obtained by adding 4 to the previous term. This recursive formula generates the same sequence as the original explicit formula, and can be used to calculate any term in the sequence.

The average balance in the bank account is $1,125.64.

So, the average balance of the account will be:

Fill in the values and solve as follows:

Therefore, the average balance in the bank account is $1,125.64.

Know more about average here:

https://brainly.com/question/20118982

#SPJ13

we can draw in finite number circle from one point. so there are n number of possibility to draw circle from on given single point.

Every point in the plane that is a certain distance away from a certain point forms a circle (center). It is, thus, a curve formed by points moving in the plane at a fixed distance from a point. A circle is a closed two-dimensional object where every pair of points in the plane are equally spaced out from the "center." A line that goes through the circle creates a specular symmetry line. At every angle, it is also rotationally symmetric about the center.

Area of circle =  

\(\pi r^2\\r = 10\\A = 3.14 X 20 X 20\\A = 628unit sq\\\)

To know more about circle visit:
https://brainly.com/question/29142813

#SPJ4

Answer:

6+18x

Step-by-step explanation:

You typically would use PEMDAS in this situation but in the parenthesis, you can't add the 3 and the 9x together, so you just skip to 2*3 and 2*9x

Answer:

Step-by-step explanation:

if were trying to simplify it it would be 6+18x