the blueprints at addison circle is a sculpture that took 18,000 worker-hours to construct using over 410,000 pounds of steel. The piece of art is placed within a traffic circle with a diameter of 133 feet. find the area of the circle. Round to the nearest tenth of a square foot.

Answer:

the answer is 180cm for the rectangle

the answer is 126cm for the triangle.

the answer is 880ml for the rectangle.

Step-by-step explanation:

first diagram (rectangle)

area=l×b

15×12

180cm

second diagram(triangle)

area =

\( \frac{1}{2} \times l \times b \\ \frac{1}{2} \times 14 \times 18 \\ = 7 \times 18 \\ 126cm\)

third diagram( rectangle)

area=

\(l \times b \\ \\ 44 \times 20 \\ 880ml\)

The mass of 5600 paper clips is 5.6 kilograms.

Here we use the unitary method to solve the problem. The unitary method is a mathematical technique used to solve problems.

It involves finding the value of one unit of a given quantity and then using that value to determine the value of other units of the same or different quantities.

Here we have

One paperclip has a mass of 1 gram.  

Mass of 1000 paperclips = 1 kilogram  

The mass of 1 paperclip in kilogram = 1/1000 = 0.001 kg

Similarly

Mass of 5600 paperclips = 0.001 kg × 5600 = 5.6 kg

Therefore,

The mass of 5600 paper clips is 5.6 kilograms.

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Answer:

it on web I had this question once

Step-by-step explanation:

put it in web and you be find

The amount that Sam get (the share of Sam) is £120

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b or \(\dfrac{a}{b}\)

We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).

Suppose that we've got a = 6, and b= 4, then:

\(a:b = 6:2 = \dfrac{6}{2} = \dfrac{2 \times 3}{2 \times 1} = \dfrac{3}{1} = 3\\or\\a : b = 3 : 1 = 3/1 = 3\)

Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.

Same thing happens for 3 quantities and more such quantities.

So if its given that Oli, Sam, and Tim's share (total  £360) are in the ratio 3:2:1, that means some common factor (lets call it 'x') must be cancelled off as 3+2+1 don't equate to 360.

So, we have:

Their total evaluates to 360 (in euros).

(we don't write symbols like of currency generally, and understand it from context. Also, sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)

Thus, we get:

\(3x + 2x + x = 360\\(3+2+1)x = 360\\6x = 360\\\\\text{Dividing both the sides by 6}\\\\\dfrac{6x}{6} = \dfrac{360}{6}\\\\x = 60\)

Thus, we get:

Thus, the amount that Sam get (the share of Sam) is £120

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Jamela is Distance away from her house than Yujin is, which is calculated as (4 - (2/3)t / (1 - (1/192)t).

An object's entire motion, independent of direction, is its distance. the distance that something has covered.

We can multiply the numerator and denominator of this expression by the LCD, which is 24 in order to make it simpler:

J(t) / Y(t) = [(12 - (2/3)t) * 8] / [(3 - (1/8)t) * 8]

J(t) / Y(t) = (96 - (16/3)t) / (24 - (1/8)t)

J(t) / Y(t) = (96/24 - (16/3)t/24) / (24/24 - (1/8)t/24)

J(t) / Y(t) = (4 - (2/3)t) / (1 - (1/192)t)

Jamela is farther away from her house than Yujin is, which is calculated as (4 - (2/3)t / (1 - (1/192)t).

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Answer:

  5

Step-by-step explanation:

The ratio of the desired length to the starting length can give you a clue as to the number needed.

  (3/8)/12 = (3/12)/8 = (1/4)(1/8) = 1/32 = 1/(2^5)

The denominator of 2^5 means you need to cut the 12-inch length in half 5 times. (Each cut multiplies the length by 1/2, so 1/2^5 = (1/2)^5 = 5 cuts.)

You would need to construct 5 bisectors.

The standard deviation of the number of residents in the sample who were born in Colorado is 7.82

PC = Indicates the real population of residents born in Colorado  

PC = 0.427 shows estimated proportion for residents born in Colorado

nC = 250 sample size selected

Let X = random variable of interest

n = 250 , p = 0.427

Now the probability mass function is given by

P(X) =  (nCx)(p)^x(1-p)^n-x

Here (nCx) means combinatory and its formula is:

nCx = n! / (n-x)!x!

Let's calculate the expected value by the given formula.

E(X) = np = 250 x 0.427 = 106.75

The standard deviation for the random variable is given by:

sd(X) = √np(1-p)

sd(X) = √250 x 0.427 x (1-0.427) = 7.82

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Answer:

$888

Step-by-step explanation:

I=P×T×R/100

=600×8.25×0.5/100 [8 year 3 months=99 months = 8.25 year ]

=1237.5/100

I =12.375

A= I +P

=600+12.375

A =612.375

hence the total amount will be $ 612.375

Answer:

total pupils are 256

Step-by-step explanation:

Boys : Girls = 5:3

160/5 = 32

Girls = 32 × 3 = 96

Total pupils are 160 + 96 = 256

Using quantifiers; a) ∀ student ∈ this class, ∃ exactly 2 mathematics classes ∈ this school that the student has taken and b) ∃ person, ∀ country ∈ the world (country ≠ Libya), the person has visited that country.

a) "Every student in this class has taken exactly two mathematics classes at this school."

In this statement, we have two main quantifiers:

Universal quantifier (∀): This quantifier denotes that we are making a statement about every individual student in the class. It indicates that the following condition applies to each and every student.

Existential quantifier (∃): This quantifier indicates the existence of something. In this case, it asserts that there exists exactly two mathematics classes at this school that each student has taken.

So, when we combine these quantifiers and their respective conditions, we get the statement: "For every student in this class, there exists exactly two mathematics classes at this school that the student has taken."

b) "Someone has visited every country in the world except Libya."

In this statement, we also have two main quantifiers:

Existential quantifier (∃): This quantifier signifies the existence of a person who satisfies a particular condition. It asserts that there is at least one person.

Universal quantifier (∀): This quantifier denotes that we are making a statement about every individual country in the world (excluding Libya). It indicates that the following condition applies to each and every country.

So, when we combine these quantifiers and their respective conditions, we get the statement: "There exists at least one person who has visited every country in the world (excluding Libya)."

In summary, quantifiers are used to express the scope of a statement and to indicate whether it applies to every element or if there is at least one element that satisfies the given condition.

Therefore, Using quantifiers; a) ∀ student ∈ this class, ∃ exactly 2 mathematics classes ∈ this school that the student has taken and b) ∃ person, ∀ country ∈ the world (country ≠ Libya), the person has visited that country.

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Answer

x=3

Step-by-step explanation:

We have to subtract 4 from 7, while will equal to 3. Therefore, x = 3

hope it's right

Answer:

Step-by-step explanation:

So, the question is, what s the slope of y = 5x -1? This equation is in slope-intercept form (also known as y = mx + b) and the coefficient in front of the x (also known as "m") is the slope. So this line has a slope of 5. The line parallel to it, also has the slope of 5

Answer:

0.125

Step-by-step explanation:

khan

Answer:

y= -3/5x+5

Step-by-step explanation:

im not sure if this is right but i know that perpendicular means opposite so basically just swtich the slope and if its positive make it negative, vice versa

\(y=\stackrel{\stackrel{m}{\downarrow }}{-1}x+\underset{\underset{\textit{\small b }}{\uparrow }}{5}\implies y=-x+5\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

Answer:

y = -2x + 3

Step-by-step explanation:

If you use the formula to find slope, which is y2-y1 over x2-x1, you can find the slope is -2. the only equation that has -2 as the slope is the first one, y = -2x + 3. hope I helped!

Answer:wish i could help

Step-by-step explanation:......

The time taken by the ball to hit the ground is required.

The time taken by the ball to hit the ground is 2 seconds.

u = Initial velocity = 30 feet per second

h = Initial height = 4 feet

t = Time taken

g = Acceleration due to gravity = \(-32\ \text{feet/s}^2\)

From the equations of kinematic motion we get

\(0=h+ut+\dfrac{1}{2}gt^2\\\Rightarrow 0=4+30t+\dfrac{1}{2}(-32)t^2\\\Rightarrow -32t^2+60t+8=0\\\Rightarrow t=\dfrac{-60\pm \sqrt{60^2-4\left(-32\right)\times8}}{2\left(-32\right)}\\\Rightarrow t=-0.125,2\)

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The formula for the area of a trapezoid is given as, a = 1/2 h (a + b) Where, a and b are the measures of two bases of the trapezoid and h is the height of the trapezoid. The area of the trapezoid is given as 24 square inches and the two bases of the trapezoid measure 4 inches and 6 inches.

We need to find the height of the trapezoid. Using the given formula, we can find the height of the trapezoid as below: 24 = 1/2 h (4 + 6)

Simplifying the above expression, we get: 24 = 5h

Hence, the height of the trapezoid is 24/5 or 4.8 inches.

Trapezoid is a quadrilateral with only one pair of parallel sides. The bases of the trapezoid are those parallel sides and the height of the trapezoid is the perpendicular distance between the two bases. In this question, the area of the trapezoid is given as 24 square inches and the two bases of the trapezoid measure 4 inches and 6 inches. We need to find the height of the trapezoid.

Simplifying the above expression, we get:24 = 5h

Hence, the height of the trapezoid is 24/5 or 4.8 inches.

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Answer: A.

Explanation

Given:

As we want to move the vertex 3 units to the right, this means we have to make a transformation on x (not y). Then, we have to make x = 3 when y = 0, meaning:

Thus:

We have to subtract 3 inside the parenthesis because if we add/subtract 3 outside, it would have an impact on y.

Answer:

50%

12.5%

1%

10%

37.5%

87%

Answer:

27)50%

28)12.5%

29)1%

30)10%

31)38.4%

32)87%

To find the recurrence relation for the coefficients of the power series solution of the given differential equation y" + y' - 2y = 0, we substitute the power series form y(x) = Σ∞n=0 cnx^n into the differential equation and equate coefficients of like powers of x.

First, we compute y'(x) and y"(x) as given in the question. Then we substitute these expressions into the differential equation:

y" + y' - 2y = Σ∞n=0 [(cn+2(n+2)) + (cn+1(n+1)) - 2(cn)]x^n

To make the terms vanish, we set the coefficient of each power of x to zero:  cn+2(n+2) + cn+1(n+1) - 2cn = 0

Simplifying this equation, we obtain the recurrence relation for the coefficients:

cn+2 = -cn+1(n+1) / (n+2)

This recurrence relation allows us to compute the coefficients cn in terms of cn+1 and cn+2 for each value of n.

In summary, the recurrence relation for the coefficients of the power series solution of the given differential equation is given by cn+2 = -cn+1(n+1) / (n+2) for n = 0, 1, 2, ...

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RP is an arc of a circle with radius 10 cm and central angle of  36⁰. The length of arc RP is 2π  cm

An arc of a circle is defined as a segment of the circumference of a circle.

Suppose the arc is facing a central angle θ, then the length of this arc is given by:

arc's length = (θ/360⁰) x C

Where:

C = circle circumference = 2πr

r = radius of the circle.

Hence,

arc's length = (θ/360⁰) x  2πr

In the given problem, the radius is the length of OR. Therefore,

r = 10 cm

θ = central angle = 36⁰

Plug these parameters into the formula:

length of arc RP = (36⁰/360⁰) x  2π x 10

                           = (1/10) x  2π x 10

                           = 2π  cm

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Answer:

The answer is "12.426 in".

Step-by-step explanation:

\(\to b+2c=30\\\\\to b = 15 \times \tan 22.5 \\\\\)

      \(= 15 \times 0.414213562\\\\=6.21320343 \times 2 \\\\=12.4264069 \ in \\\\\)

Answer: The number of miles increases as time increases.

The number of hours causes a change in the number of miles ridden.

The variable h is the independent variable.

The variable m is the dependent variable.

Step-by-step explanation:

For queuing system B, the average time in queue ids going to change significantly as a result of increased utilization.

This is because queuing system B is initially heavily loaded and has less capacity to handle more requests. As a result, an increase in utilization can cause a significant increase in average queue latency on system B compared to system A.

Average Queue Time is a measure of the time a customer or request spends being processed by a server. It is affected by several factors such as server load, customer or request arrival rate, and server service rate. As the load on the queuing system increases, it means that the server is being used more frequently and is no longer available to process incoming requests. This will increase the average time in the queue as more requests accumulate and have to wait to be processed. The greater the increase in occupancy, the greater the impact on average latency.

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Answer:

:-f(x)=x²-2x-24

Step-by-step explanation:

according to the rules of polynomial

f(-4) is the same thing as (x+4)

f(6) is the same thing as (x-6)

how?

x+4=0; x=-4

x-6=0; x=6

(x+4)(x-6)

x²-6x+4x-24

x²-2x-24

:-f(x)=x²-2x-24

award me

Answer:

1 1/2

Step-by-step explanation:

2 - 1/2 = 1 1/2

2 - .5 = 1.5 as a decimal

is this what u wanted

Hope you understand :)

Answer: C=59° b=5.5 c= ??

Step-by-step explanation:

Answer:

T23=a+22d

d=T2-T1

d=8-10=-2

a(first term)=10

T23=10+22×-2

=10+(-44)

=10-44

=-34

therefore:T23=-34

Answer:

-34

Step-by-step explanation:

Set rule

T = -2(n) + 12

T23 = -2 × 23 + 12

= -34

Two variables are said to be positively associated when both the variables increase simultaneously. Two variables are said to be negatively associated when with the increase in one variable, the other decreases.

When we say that two variables are positively associated, it means that as one variable increases, the other variable also tends to increase. In other words, there is a direct variation between the two variables. For example, if we look at the relationship between height and weight, we would expect to see a positive association because taller people generally weigh more than shorter people.

On the other hand, when we say that two variables are negatively associated, it means that as one variable increases, the other variable tends to decrease. In other words, there is a inverse variation between the two variables. For example, if we look at the mathematical variation between studying and test scores, we would expect to see a negative association because the more someone studies, the lower their test anxiety and the better they are likely to perform on the test.

Understanding whether two variables are positively or negatively associated is important in many areas, including social sciences, healthcare, and business. By identifying these associations, we can better predict outcomes and make informed decisions based on data.

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