find the perimeter of the figure below composed of a rectangle and a semi circle round to the nearest tenths place

Answer:

The common ratio of the geometric sequence is -4

Step-by-step explanation:

Geometric Sequence

A geometric sequence is defined as a series of numbers that follow a fixed pattern: Each term equals the previous term times a fixed number called the common ratio. The recursive formula is:

[tex]a_n=a_{n-1}*r[/tex]

Where r is the common ratio.

We are given three terms of a geometric sequence:

18,-72,288,...

To find the common ratio, just divide each term by the previous term:

[tex]\displaystyle r=\frac{-72}{18}=-4[/tex]

Make sure it's a fixed number and test with the third term:

[tex]\displaystyle r=\frac{288}{-72}=-4[/tex]

Since both numbers coincide, the common ratio of the geometric sequence is -4

Answer:

The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48

so the 3rd option is correct

Answer:

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

C

Step-by-step explanation:

got it right on test

Answer: 8 / 12 = x

Step-by-step explanation:

:D Hope its right

Answer: bonds/safety/income based on an interest rate ​

Step-by-step explanation:

:)

(2/5) (-5/7)

To simplify the equation

Step 1:

[tex] \blue{= \dfrac{2}{5} \times \dfrac{ - 5}{7} }[/tex]

[tex]\green{so \: after \: simplifying \: the \: equation \: it \: will \: look \: like \: this}[/tex]

Step 2:

[tex] \blue{= \dfrac{2}{1} \times \dfrac{ - 1}{7} }[/tex]

Step 3:

[tex] \blue{=\dfrac{ - 2}{7} }[/tex]

Step 4:

[tex]\blue{=−0.28571✓}[/tex]

With regards!

★Dull Star★

Total number of parts = 3 + 2 = 5 parts

[tex]each \: part \: = \frac{(540 \div 5)}{2} \: m[/tex]

[tex] \\ each \: part \: = \frac{108}{2} m \: \\ \\ each \: part \: = 54 \: m[/tex]

Then , the length of this triangle :

[tex]54 \times 3 \: m[/tex]

[tex] = 162 \: m[/tex]

Then , the width of this triangle will be :

[tex]54 \times 2 \: m[/tex]

[tex]108 \: m[/tex]

∴ The length of this rectangle is 162 m and the width of this rectangle is 108 m .

Answer:

FV= $38,735.32

Step-by-step explanation:

Giving the following information:

Monthly deposit= $100

Number of periods= 18*12= 216 months

The interest rate is confusing. I will assume an interest rate of 6%. If it is not correct, just change it in the formula.

Monthly interest rate= 0.06/12= 0.005

To calculate the future value, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

FV= {100*[(1.005^216) - 1]} / 0.005

FV= $38,735.32

Answer: positive 7

Step-by-step explanation:

Cardinal number of the set containing all negative integers greater than −8 is 7.

In mathematics,cardinal numbers or cardinals for short, are generalization of the natural numbers used to measure the cardinality of sets. The cardinality of a finite set is a natural number: the number of elements in the set.

Now the given set is all negative integers greater than -8.

Let S be the set,so

S = {-7,-6,-5,-4,-3,-2,-1}

now to find the cardinality, we see that set S has 7 elements.

Cardinality of Set S is 7.

Hence, cardinal number of the set containing all negative integers greater than −8 is 7.

More about Set and Cardinality :

https://brainly.com/question/27965678

#SPJ2

Answer:

a. the data is skewed to the left

Step-by-step explanation:

on the left most of the data is lower than the data on the right + i took the quiz

Answer:

A

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

0 = x -3

-x = -3

change the sign to positive so x= 3

Answer:

answer

Step-by-step explanation:

step by step explanation

Answer:

477

Step-by-step explanation:

I hope this helps!

Answer:

Length = 74 feet,

Width = 65 feet

Step-by-step explanation:

If length = l, width = w;

l = 9 + w (Given)

2l + 2w = 278 (Definition of perimeter)

Substitute "9 + w" for l in the second equation;

2(9 + w) + 2w = 278 -> Distribute the "2"

18 + 2w + 2w = 278 -> Combine like terms

18 + 4w = 278 -> Subtract 18 on either side

4w = 260 -> Divide either side by 4

w = 260/4 = 65 feet

l = 9 + 64 = 74 feet

Answer:

no they are not

Step-by-step explanation:

9:7 / 2:1 = 4.61904762

Answer:

9:7 and 2:1 should not be equivalent.

Step-by-step explanation:

Ratios are similar to fractions, if the ratios, 9:7 and 2:1 are to be put into fraction form, they would not equal the same thing.

9:7 = [tex]\frac{9}{7}[/tex]

2:1 = [tex]\frac{2}{1}[/tex] = 2

As shown above, they do not equal the same thing, this also goes for their decimal form and so on.

Given:

Height of box = 5 inches

Breadth (width) of box = 4 inches

Length of box = 3 inches

Volume of box = 5 • (3 • 4) cubic inches

To find:

The explanation for the parentheses in the expression 5•(3•4)

Solution:

We know that,

Volume of a box is

[tex]Volume = length \times breadth \times height[/tex]

Area of a rectangle is

[tex]Area = length \times width[/tex]

Now,

Volume of box = 5 • (3 • 4) cubic inches

In this expression, (3 • 4) represents the product of length and with of the box. So, it means represents area of the base of box and after multiplying the base area with height we get the volume of the box.

Therefore, the parentheses in the expression 5•(3•4) represents the base area of the box.

Answer: r= 5/2 or r= 2 1/2

Step-by-step explanation:

Answer:

a

   Since the integral has an infinite discontinuity, it is a Type 2 improper integral

b

   Since the integral has an infinite interval of integration, it is a Type 1 improper integral

c

  Since the integral has an infinite interval of integration, it is a Type 1 improper integral

d

     Since the integral has an infinite discontinuity, it is a Type 2 improper integral

Step-by-step explanation:

Considering  a

          [tex]\int\limits^4_3 {\frac{x}{x- 3} } \, dx[/tex]

Looking at this we that at x = 3   this  integral will be  infinitely discontinuous

Considering  b    

        [tex]\int\limits^{\infty}_0 {\frac{1}{1 + x^3} } \, dx[/tex]

Looking at this integral we see that the interval is between [tex]0 \ and  \  \infty[/tex] which means that the integral has an infinite interval of integration , hence it is  a Type 1 improper integral

Considering  c

       [tex]\int\limits^{\infty}_{- \infty} {x^2 e^{-x^2}} \, dx[/tex]

Looking at this integral we see that the interval is between [tex]-\infty \ and  \  \infty[/tex] which means that the integral has an infinite interval of integration , hence it is  a Type 1 improper integral

Considering  d

        [tex]\int\limits^{\frac{\pi}{4} }_0  {cot (x)} \, dx[/tex]

Looking at the integral  we see that  at  x =  0  cot (0) will be infinity  hence the  integral has an infinite discontinuity , so  it is a  Type 2 improper integral

Answer:

g(x) = f(x) + 5

Step-by-step explanation:

C

Answer: g(x) = f(x) - 5

Step-by-step explanation:

y = mx + b

The Graph of g(x) is 5 units down from the graph of f(x)

Answer:

Step-by-step explanation:

-x + 9x = -4

8x = -4

x = -4/8

x = -1/2

Answer:

In M/n(x) x cannot be 0

Step-by-step explanation:

If any number is divided by 0, then that number is undefined and has no answer, so in math this is always avoided by not dividing with 0.

Answer:

B. 61

Step-by-step explanation:

Given:

∆PQR ≅ ∆PQS

PQ = 2x + 41

QS = 7x - 24

QR = 3x + 16

Required:

Numerical value of PQ

SOLUTION:

First, create an equation to find the value of x as follows:

Since both triangles are congruent, therefore:

QS = QR

7x - 24 = 3x + 16 (Substitution)

Collect like terms

7x - 3x = 24 + 16

4x = 40

Divide both sides by 4

4x/4 = 40/4

x = 10

Find PQ by plugging x = 10 into PQ = 2x + 41

PQ = 2(10) + 41

PQ = 20 + 41

PQ = 61

Answer:

-6x+3

Step-by-step explanation:

23............hope this helps

Answer:

the answer is -33.28

Step-by-step explanation:

Answer:

q=9

Step-by-step explanation:

5q+1+44=90

5q+45=90

5q=45

q=9

Answer:  No solutions.

============================================

Work Shown:

4c + 5 < 4c + 3

4c+5-4c < 4c+3-4c ... subtract 4c from both sides

4c-4c+5 < 4c-4c+3

0c+5 < 0c+3

0+5 < 0+3

5 < 3 ... statement is false

Since that statement is false, this means the original inequality is false regardless of what you pick for c.

There are no solutions.

If x is in the nullspace of A, then Ax = 0. Consider the augmented matrix

[tex]\left[\begin{array}{ccc|c}1&-1&2&0\\0&1&-3&0\end{array}\right][/tex]

Add row 2 to row 1 to get this into reduced-row echelon form:

[tex]\left[\begin{array}{ccc|c}1&0&-1&0\\0&1&-3&0\end{array}\right][/tex]

Then x = [x₁, x₂, x₃]ᵀ such that

x₁ - x₃ = 0

x₂ - 3 x₃ = 0

If you let x₃ = 1, you end up with x₁ = 1 and x₂ = 3, so x = [1, 3, 1]ᵀ.

More generally, if you let x₃ = y, then any vector of the form [y, 3y, y]ᵀ would belong to the nullspace.

Check that this is orthogonal to the rows of A :

[1, -1, 2] • [1, 3, 1]ᵀ = 1•1 + (-1)•3 + 2•1 = 1 - 3 + 2 = 0

[0, 1, -3] • [1, 3, 1]ᵀ = 0•1 + 1•3 + (-3)•1 = 0 + 3 - 3 = 0

Answer:

$16

Step-by-step explanation:

if 5=20 then 20÷5=4 and 4x4=16

Answer:

16

Step-by-step explanation:

$20/5notebooks=$4 each

4$*4notebooks=16$