What is the perimeter of this figure?

Answer:

The expression of the area of rectangle ABCD as simplified polynomial will  be:

[tex]A=16x^2-8x[/tex]

Hence, the 2nd option is correct.

Step-by-step explanation:

As we know that the area of a rectangle can be obtained by multiplying the length by the width.

i.e.

[tex]A=l\times w[/tex]

Given

The length of a rectangle ABCD = [tex]l[/tex] = [tex](x+5) + (3x) + (4x-9)[/tex]

The width of a rectangle = [tex]w[/tex] = [tex]2x[/tex]

so the expression of the area of rectangle ABCD as simplified polynomial will  be:

[tex]A=l\times w[/tex]

[tex]A=\left[\left(x+5\right)\:+\:\left(3x\right)\:+\:\left(4x-9\right)\right]\:\times \left[2x\right][/tex]

   [tex]=\left(\left(x+5\right)+\left(3x\right)+\left(4x-9\right)\right)\left(2x\right)[/tex]

   [tex]=\left(x+5+3x+4x-9\right)\times \:2x[/tex]

   [tex]=2x\left(8x-4\right)[/tex]

    [tex]=16x^2-8x[/tex]

Therefore, the expression of the area of rectangle ABCD as simplified polynomial will  be:

[tex]A=16x^2-8x[/tex]

Hence, the 2nd option is correct.

Answer:

(a) The deposits to be 21.68, 42.09, and 65.44 and the withdrawals to be -4.64, -23.11 and -9.78

(b) [tex]Order: -23.11, -9.78, -4.64, 21.68, 42.09, 65.44[/tex]

(c) [tex]Final\ Balance = \$219.68[/tex]

Step-by-step explanation:

Given

Deposits:  $21.68, $42.09, and $65.44

Withdrawals: $4.64, $23.11 and $9.78

Solving (a): Write out the deposits as positive and the withdrawals as negatives

From (given) above, we have

The deposits to be 21.68, 42.09, and 65.44

and

The withdrawals to be -4.64, -23.11 and -9.78

Solving (b): Order from least to greatest.

Since the withdrawals are negative, the arrangement will start from there because negative numbers are lesser than positives.

Arranging the withdrawals from least to greatest, we have:

-23.11, -9.78, -4.64.

Arranging the deposits from least to greatest, we have:

21.68, 42.09, 65.44

Combine both together;

[tex]Order: -23.11, -9.78, -4.64, 21.68, 42.09, 65.44[/tex]

Solving (c):

[tex]Initial\ Balance = \$128[/tex]

Required

Determine the final balance

First we need to get the total deposits:

[tex]Total\ Deposits = \$21.68 + \$42.09 + \$65.44[/tex]

[tex]Total\ Deposits = \$129.21[/tex]

Next, we determine the total withdrawals:

[tex]Total\ Withdrawals = \$4.64 + \$23.11 + \$9.78[/tex]

[tex]Total\ Withdrawals = \$37.53[/tex]

The final balance is then calculated as:

[tex]Final\ Balance = Initial\ Balance + Total\ Deposits - Total\ Withdrawals[/tex]

[tex]Final\ Balance = \$128 + \$129.21 - \$37.53[/tex]

[tex]Final\ Balance = \$219.68[/tex]

Answer:

I got 3

Step-by-step explanation:

If you do 8 x 1/2 x 3 You would get 12. Keep that 12 for later. then for the bottom half do 2 x 1/2 x 4 and I got 4. so do 12/4 and then that goes to 3.

Answer:

(A.) 0.19687 (B.) 0.82444

Step-by-step explanation:

a.

P(N=0) = 10C0(0.15)0(0.85)10 = 0.19687

b.

P(N > 1) = 1 - P(N=0) - P(N=1)

P(N=0) = 20C0(0.15)0(0.85)20 = 0.03876

P(N=1) = 20C1(0.15)1(0.85)19 = 0.1368

P(N > 1) = 1 - 0.03876 - 0.1368 = 0.82444

Answer:

the answer to your question is 50.

Answer:

3n−6

Step-by-step explanation:

n−8−(−2−2n)

Distribute the Negative Sign:

=n−8+−1(−2−2n)

=n+−8+(−1)(−2)+−1(−2n)

=n+−8+2+2n

Combine Like Terms:

=n+−8+2+2n

=(n+2n)+(−8+2)

=3n+ (−6 )

ANSWER:

3n−6

Answer:

Step-by-step explanation:

A. when you multiply exponents with a common base you keep the base and add the exponents. In this case you would keep the 6 and add the -5 and 2 so the answer would be:

6^-3 which is not equivalent

B. You can distribute the exponent in to the parenthesis.

(1^5)/(6^2)^5

when you have an exponent to an exponent you mutliply. so the answer would be:

1^5/6^10

1^5 is always going to be 1 so you actually have:

1/6^10

when the exponent is on the bottom you can bring it to the top by making it negative, so the final answer for B is:

6^-10 which is equivalent

C. Same rules as B, multiply an exponent to an exponent.

6^(-5*2) = 6^-10 which is equivalent

D. When you are dividing exponents with a common base you subtract the top and bottom exponents. So in this case you have:

6^(-3-7) = 6^-10 which is equivalent

E. Using the rules from eariler the numerator can be simplified by adding the exponents.

6^5 * 6^-3 = 6^(5-3) = 6^2

which leaves you with:

6^2/6^-8

From there you can either bring the 6^-8 to the numberator to make it positive which simplifies to:

6^2 * 6^8 = 6^(2+8) = 6^10 which is not equivalent

or you can subtract the top and bottom exponents:

6^2/6^-8 = 6^(2-(-8))

the double negative cancels to a positive and you getL

6^(2+8) = 6^10 which is not equivalent

so B, C, and D are equal to 6^-10

Answer:

You can also use tables to represent functions. Instead of using two ovals with circles, a table organizes the input and output values with columns. ... Remember, a function can only assign an input value to one output value. If you see the same x-value with more than one y-value, the table does not represent a function. so yeah it does represent a function.

Hope this helps, have a great day/night and stay safe!

Answer:

quotient = 12 remainder = 6

Step-by-step explanation:

Answer:

12 with a remainder of 6

Answer:

[tex]\frac{3x + 4 }{x^{2}}[/tex]

Step-by-step explanation:

[tex]\frac{3}{x}+ \frac{4}{x^{2}} = \frac{3*x}{x*x} + \frac{4}{x^{2}}[/tex]

          [tex]= \frac{3x}{x^{2}} + \frac{4}{x^{2}}\\\\\\=\frac{3x + 4 }{x^{2}}[/tex]

Answer:

125

Step-by-step explanation:

82 percent of 65.6 is 125

Answer:

I hope I got your question correctly.

82% of 65.6 is 54.

Step-by-step explanation:

Consider this equation:

P%=[tex]\frac{x}{y}[/tex]

The value of P% here is 82, which is 0.82 in decimal form.

x is unknown

y is 65.6

Simply cross-multiply 65.6 and 0.82.

The result is 53.8 or 54.

Answer:

Step-by-step explanation:

6x+12≥48

    -12   -12

6x   ≤   36

6           6

 x≤6

Answer:

Absolute value equations are equations where the variable is within an absolute value operator, like |x-5|=9. The challenge is that the absolute value of a number depends on the number's sign: if it's positive, it's equal to the number: |9|=9. If the number is negative, then the absolute value is its opposite: |-9|=9.

Answer:

Miguel's distance covered = 10 + 14.29 * t

Gabby's distance covered =  17.40 * t

Step-by-step explanation:

Recall that in order to convert km to miles we do:

1 km = 0.62137 mi. therefore the conversion of speeds from km to miles, so we write the distance covered for each biker in miles, we have:

23 km/h = 14.29 mi/h

and  28 km/h = 17.40 mi/h

For Miguel, the distance (D1 in miles) covered will be represented by:

D1 = 10 + 14.29 * t

where t is t the variable that represents the time in hours, and D1 is the distance covered in miles.

For Gabby the distance D2 equation is given by:

D2 = 0 + 17.40 * t

1/12

24 divided by 2 = 12

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I took the test on edge

What's your question?

Answer:

It's c

Step-by-step explanation:

The length of BC is 14.

Because according to pytheorem

H = p +b

Answer:

Step-by-step explanation:

-5/-5

Answer:

Expression = -23 + 26i

Step-by-step explanation:

Given the following data;

x = -5 + 6i

y = 3 - 2i

Expression = 4x - y

Substituting the values of "x" and "y" into the equation, we have

4(-5 + 6i) - (3 - 2i)

Expanding the bracket, we have;

Expression = -20 + 24i - 3 + 2i

Expression = -23 + 26i

Answer:

15 green pieces.

Step-by-step explanation:

8x = 24

x = 3.

So you need 3 times the amount of green pieces for every yellow piece.

3 * 5 green pieces = 15 green pieces

The indicated function y1(x) is a solution of the given differential equation, the second solution is mathematically given as

[tex]y2=\frac{-1}{5x^2}[/tex]

Generally, the equation for the differential equation is mathematically given as

x^2y^2+2xy1-6y=0

Where

p(x)=2/x

[tex]y_2=y_1\inte\frac{p(x)dx}{y1^2}dx\\\\\int{1/y1^2e^{\intp(x)dx}}dx=\int1/x^4.xe^{-2/x dx}dx\\\\\int{1/y1^2e^{\intp(x)dx}}dx=\int1/x^4.xe^{-2logx}dx\\\\\int{1/y1^2e^{\intp(x)dx}}dx=\int1/x^4.x * x^{-2}dx[/tex]

y2=x^2*-1/5x^5=-1/5x^3

[tex]y2=\frac{-1}{5x^2}[/tex]

Read more about differential equation

https://brainly.com/question/14620493

#SPJ1

Answer:

$475.00

Step-by-step explanation:

Subtract $822.00 and $347.00 then you'll get $475.00

Answer:

480

Step-by-step explanation:

multiply all together

Brainliest plz

Answer: m∠5 = m∠7 = 67°

because a//b => m∠4 + m∠5 = 180°

⇔ 113° + m∠5 = 180°

⇔ m∠5 = 180 - 113 = 67°

because ∠5 and ∠7 are  2 opposing angles

=>  m∠5 = m∠7 = 67°

Step-by-step explanation:

Answer:

Step-by-step explanation:

Angles 4 and 5 are same side interior angles and their measures add up to 180° as per definition:

Angles 5 and 7 are vertical angles and they have equal measure as per definition of vertical angles:

Answer:

7:13

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

1. 0.2083

2. 1.875

3. 0.16666667

4. 0.275

5. 5.26

Brainliest Please! :)