in april 2005, roland mailed a package from his local post office in Albermarle, NC ro a friend in fishers, Indiana for $2.76 per ounce. The first class domestic rate at the time was $.23 per ounce. Write and solve an equation to determine the weight of the package

Answer:

D

Step-by-step explanation:

the figure is composed of a rectangle and a right triangle ( top )

calculate the hypotenuse h of the right triangle using Pythagoras' identity

h² = 6² + 8² = 36 + 64 = 100 ( take square root of both sides )

h = [tex]\sqrt{100}[/tex] = 10

the base of the rectangle is equal to h , then perimeter (P) of pentagon is

P = 10 + 4 + 6 + 8 + 4 = 32 cm

Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

What does the problem want:

 ⇒ the dimensions or the perimeter of the pentagon

What information do we need to find the perimeter:

 ⇒ the unknown side length

Let's find the unknown side length:    

[tex]\hookrightarrow \text{split the pentagon into two shapes as shown in the image below}\\\hookrightarrow \text{the hypotenuse of the right triangle is equal to the length of the unknown side}\\\hookrightarrow\text{hypotenuse}=\sqrt{6^2+8^2}= \sqrt{36+64}=\sqrt{100}=10\\[/tex][tex]\hookrightarrow \text{the unknown side length is 10}[/tex]

Perimeter = 6 + 8 + 4 + 4 + 10 = 32

Answer: 32 or (D)

Hope that helps!

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Answer:

m = -x

Step-by-step explanation:

The equation BEST represents the relationship between velocity and time is y = 2.2x + 6.

According to the statement

we have given some data in the form of graph according to the velocity per time and we have to find the relationship between the velocity and time.

So, for this purpose,

we know that the best method show the relationship is a slope intercept form.

So,

The slope intercept form is a the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.

And

Using the coordinate points on the plane (0, 6) and (10, 28)

now we Determine the slope

Slope = 28-6/10-0

Slope = 22/10

Slope = 2.2

And then Determine the y-intercept

6 = 2.2(0) + b

b = 6

And now we have to put in the general form of the slope intercept form which is y = mx + b

Then the equation become

y = 2.2x + 6

So, The equation BEST represents the relationship between velocity and time is y = 2.2x + 6.

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This would be the least common multiple of 3, 4, 5, and 9. We can start by listing the multiples of the biggest number, 9, and seeing if each of the numbers can be divisible by the smaller numbers.

9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180

180 would be the answer because it is the first number in our list that is divisible by 3, 4, 5, and 9.

Answer:

D 0.0353

Step-by-step explanation:

a= 0.05. p= 0.65. n=700

S N P = 700 × 065 = 45575

1 n ( 1 - p ) = 700× ( 1 - 0.65 ) = 24575

get the sample is big ,. p~ N ( π. √ π ( 1-π ) p - π

-----------. ------- ~ ( o. 1

n Ñ 1 ~ñ

the margin of error ∆ = Z a

-----. =. √ π ( 1 - π )

2 --------

n

according to the standard normal distribution,

Z d

---. = zo.o25 = 1.96

2

∆=1.96×√p ( 1 - p ). =. 1.96 × √ 0.65× ( 1 - 65)

---------. ---------

π. 700

= 0.0353

The area of the rhombus is 100 mm². The correct answer is D.

A rhombus is one type of parallelogram and has 4 sides and 4 vertices.

Every side is equal in length and opposite angles are equal.

Given:

A rhombus with horizontal diagonal length 25 millimeters,

and vertical diagonal length 8 millimeters.

Let d₁ = 25 mm and, d₂ = 8 mm.

Let A be the area of rhombus.

To find the area of rhomus:

Using diagonals,

A = (1/2) × d₁× d₂.

Substituting the values of diagonals,

A = 1/2 x 25 x 8

A = 200/2

A = 100 mm².

Therefore, 100 mm² is the area of the rhombus.

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The coordinates of point J' in the quadrilateral F'G'H'J' is J'(-2, -4)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

Rigid transformation is a transformation that preserves the shape and size of a figure such as translation, reflection and rotation.

Quadrilateral FGHJ is dilated according to the rule Do,Two-thirds(x,y) to create the image quadrilateral F'G'H'J', which is not shown. Quadrilateral FGHJ has points F(-5, -4), G(-3, -2), H(-1, -4) and J(-3, -6).

The coordinates of point J' in the quadrilateral F'G'H'J' is J'(-2, -4)

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Answer:

(-2,-4)

Step-by-step explanation:

Geometry B E2020!! :3

The amount spent by Seedevi is $66

From the question, the given parameters are:

Seedevi = half as much money as Georgia,

Seedevi = $6 more than Amy

The three of them = $258

To solve this question, we use the following representations

x = Seedevi

y = Georgia

z = Amy

So, we have the following equations

x = 0.5y

x = 6 + z

x + y + z = 258

Make y and z the subjects

y = 2x

z = x - 6

Substitute y = 2x and z = x - 6 in x + y + z = 258

x + 2x + x - 6 = 258

Evaluate the like terms

4x = 264

Divide by 4

x = 66

Hence, the amount spent by Seedevi is $66

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Using the Laplace transform to solve the given integral equation  f(t) = t, 0 ≤ t < 4 0, t ≥ 4 is [tex]\frac{4(1-2e^-5s)/}{s}[/tex]

explanation is given in the image below:

Laplace remodel is an crucial remodel approach that's particularly beneficial in fixing linear regular equations. It unearths very wide programs in var- areas of physics, electrical engineering, manipulate, optics, mathematics and sign processing.

The Laplace transform technique, the function inside the time domain is transformed to a Laplace feature within the frequency area. This Laplace function could be inside the shape of an algebraic equation and it may be solved without difficulty.

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Answer:

$591.10

Step-by-step explanation:

First, add up $475.88 and $609.00 together. Then, subtract it from $1675.88. They need $591.10 more for their vacation.

The correct option is D.

An equation to determine the area, a, of the patio that will be painted :

a = (x + 25)(x + 15) - 30

Geometric shapes are the mathematical figures that show how ordinary objects in our world are shaped. Shapes in geometry are the configurations of things with boundary lines, angles, and surfaces.

Length of the rectangular patio is (x+25).

Width of the rectangular patio is (x+15).

Length of bench is 5.

Width of the bench is 1.

Area of a rectangle is:

A = Length x Width

Area of rectangular patio is:

A[tex]_1[/tex] = (x + 25)(x + 15)

Area of bench is:

A[tex]_2[/tex] = 10 x 3

   = 30

The painting area is:

A = A[tex]_1[/tex] - A[tex]_2[/tex]

A = (x + 25)(x + 15) - 30

Therefore, the correct option is D.

An equation to determine the area, a, of the patio that will be painted :

a = (x + 25)(x + 15) - 30

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The amount to be invested​ now, or the present value​ needed, is $22873.75

We solve the problem using the compound interest formula for amount

A = P(1 + r)ⁿ where

Making P subject of the formula, we have

P = A/(1 + r)ⁿ

Given that

Substituting the values of the variables into the equation, we have

P = A/(1 + r)ⁿ

P = 50000/(1 + 0.07)¹⁴

P = 50000/(1.07)¹⁴

P = 50000/1.7317

P = 22873.75

So, the amount to be invested​ now, or the present value​ needed, is $22873.75

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The numeric value of ms within is = 19.

To find the numeric value of ms within:

Given: Swithin = 70, sample size = 17 and number of groups = 3.

So, 17 × 3 = 51

70 - 51 = 19

Therefore, the numeric value of ms within is = 19.

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Answer:

Ten thousands place

Step-by-step explanation:

84 530 216

Frm here u can see that the 3 is in the ten thousands place

The end behavior of a polynomial function is as x tends to infinity, f(x) tends to negative infinity.

In this question,

The power function is f(x) =-2x^3

The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.

The degree and the leading coefficient of a polynomial function determine the end behavior of the graph.

The graph below shows the behavior of the function f(x).

The above equation has the degree of 3, which is odd and the leading coefficient has the negative coefficient.

Then the end behavior is

As x -> ∞,

[tex]\lim_{x \to \infty} f(x)[/tex]

⇒ [tex]\lim_{x \to \infty} -2x^{3}[/tex]

⇒ [tex]-2(\infty)^3[/tex]

⇒ - ∞

Hence we can conclude that the end behavior of a polynomial function is as x tends to infinity, f(x) tends to negative infinity.

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Answer:

he will earn 32$ worth of commision

Step-by-step explanation:

so if the commission is 9$ and 9 is 5% of 180$ then commission percentage is 5% so to find how much commission he got selling 640$ worth of phones we just have to find 5% of 640$  which is 32$

Answer:

-1

Step-by-step explanation:

n^2+2n = -1

n(n+2) = -1

The answer choice which represents statements which are correct regarding the datasets described in the task content is; Choice C; i and ii only.

It follows from the task content that the universal set M is described to contain all positive integers less than 20 while the collection of numbers N is created randomly by choosing five numbers from it.

Consequently, it follows that since 5 number are to be chosen, the range must be at least 4 as this follows from the extreme case scenario of selecting consecutive numbers. Hence, statement i is correct.

Also, the median must be at least three as the extreme case scenario in which numbers 1,2,3,4 and 5 are chosen still renders the median to be 3.

The mean of the five numbers cannot be above 17 because, when when numbers, 15,16,17,18 and 19 are chosen, the mean is 17 and does not exceed 17. Hence, statement iii is incorrect.

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The lateral surface area of a right circular cone is 234.09 [tex]cm^2[/tex]

Given that volume = [tex]320cm^3[/tex]

Radius = 8cm

we know that

The volume of the right circular cone = [tex]V = \frac{\pi r^2h}{3}[/tex]

[tex]320 = \frac{22 \times 8^2h}{3 \times 7}[/tex]

after solving the equation we get

h =  4.77cm

now, the lateral surface area of the cone = [tex]A = \pi \times r \times \sqrt{h^2 + r^2}[/tex]

now putting the values in the above equation

[tex]A = \pi \times 8 \times \sqrt{4.77^2 + 8^2}[/tex]

A = 234.09 [tex]cm^2[/tex]

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The sponge function in cryptography takes a string of any length as input and returns a string of any requested variable length.

According to the statement

we have to explain about the function in which cryptography takes a string of any length as input and returns a string of any requested variable length.

So, For this purpose,

we know that the

A sponge function or sponge construction is any of a class of algorithms with finite internal state that take an input bit stream of any length and produce an output bit stream of any desired length.

So from definition and its working process it is clear that for this purpose the sponge function is used.

this function returns the string of any variable length.

So, The sponge function in cryptography takes a string of any length as input and returns a string of any requested variable length.

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Answer: A. 33

Step-by-step explanation:

Step-by-step explanation:

i)I=PRT/100

I=1800*12*1/100

I=$216

ii) amount to be paid =1800+216

=$2016

iii) monthly installments=2016/12

=$168

b)I=PRT/100

I=

If a trader took a loan of 1,800.00 at an interest of 12 percent per annum

a.  Interest on the loan is $216.

Amount to be paid at the end of the year is $2016

Monthly Installment is $168

b. She took  $2184 to the nearest dollar.

a) i) Interest on the loan:

Interest = Principal × Rate × Time

Interest = $1800 × 0.12 × 1

Interest = $216

ii) Amount to be paid at the end of the year:

Amount = Principal + Interest

Amount = $1800 + $216

Amount = $2016

iii) Monthly installment:

Number of monthly installments = 12

Monthly Installment = Total Amount / Number of Installments

Monthly Installment = $2016 / 12

Monthly Installment ≈ $168

b) Let's X represent the amount she took

Total Payment = Monthly Installment × Number of Months

Total Payment = $200 × 12

Total Payment = $2400

So

Total Payment = X + $216

$2400 = X + $216

Subtract $216 from both sides:

$2400 - $216 = X

$2184 = X

Therefore she took approximately $2184 to the nearest dollar.

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ANSWER: 22.5 and 67.5

let, one angle be x then the another one is 3×(90-x)

x = 270 - 3x

x + 3x = 270

4x = 270

x = 270/4

x = 67.5 (first angle)

then, another angle = 90- 67.5 = 22.5

Answer:

[tex]\Large\boxed{a)~4\sqrt{3} }[/tex]

[tex]\Large\boxed{b)~10\sqrt{10} }[/tex]

Step-by-step explanation:

Given term

[tex]\sqrt{48}[/tex]

Factorize 48 inside the radical sign

[tex]\sqrt{2\times2\times2\times2\times3}[/tex]

Combine terms to form squares

[tex]\sqrt{2^2\times2^2\times3}[/tex]

Simplify the radical sign

[tex](2\times2)\sqrt{3}[/tex]

[tex]\Large\boxed{4\sqrt{3} }[/tex]

Given term

[tex]\sqrt{1000}[/tex]

Factorize 1000 inside the radical sign

[tex]\sqrt{2\times2\times2\times5\times5\times5}[/tex]

Combine terms to form squares

[tex]\sqrt{2^2\times5^2\times2\times5 }[/tex]

Simplify the radical sign

[tex](2\times5)\sqrt{2\times5}[/tex]

[tex]\Large\boxed{10\sqrt{10} }[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

11.692945103

Step-by-step explanation:

take out a calculator divide 1016 by 86.89

The meaning of the y-intercept exists in the time required for the plane to cover 2,000 kilometers at a speed of 900 kilometers per hour (kph) with no wind.  [tex]$2 \frac{2}{9}$[/tex] hours required for the plane to cover 2,000 kilometers at a speed of 900 kilometers per hour with no wind.

The time it takes the plane to travel 2,000 kilometers with the tailwind, t(x), exists determined by the function

[tex]$t(x)=\frac{2,000}{900}+x $$[/tex]

where x exists the increase in speed when the plane travels with the wind (tailwind).

The y-intercept exists at x=0, then

[tex]$&t(0)=\frac{2,000}{900}+x \\[/tex]

[tex]$&t(0)=\frac{20}{9}=2 \frac{2}{9}[/tex] hours

[tex]$2 \frac{2}{9}$[/tex] hours required for the plane to cover 2,000 kilometers at a speed of 900 kilometers per hour with no wind.

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Answer:

5x-11<-11

group like terms

5x<11+11

5x<22

divide both sides by 5

Step-by-step explanation:

let's name the variables for the age of the people as the people themselves :

orlando = omar + 12

carl = 3×orlando

carl + orlando + omar = 68

using the first equation in the second equation, and then that result and the first equation in the third equation :

carl = 3×(omar + 12)

3×(omar + 12) + (omar + 12) + omar = 68

3×omar + 36 + omar + 12 + omar = 68

5×omar + 48 = 68

5×omar = 20

omar = 4

orlando = omar + 12 = 4 + 12 = 16

carl = 3×orlando = 3×16 = 48

the ratio omar : carl : orlando

4 : 48 : 16 = 1 : 12 : 4