In a classroom 1/6 of the students are wearing blue shirts and 2/3 are wearing white shirts. There are 12 students in the classroom. How many students are wearing shirts other than blue shirts or white shirts.

The value of the x-coordinate of point A is  -0.342

If we measure the angle from the x-axis, we will get:

angle = 90° + 20° = 110°

Now remember that the rectangular coordinates are for a point with radius R and defined by an angle a are given by the expressions below:

x = R*cos(a)

y =R*sin(a)

Where in this case we can see that we have an unit circel, thus, R = 1, and a is the angle, in this case 110° as we saw above.

Then the x-coordinate of point A is:

x = 1*cos(110°) = -0.342

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Mary's monthly payments will be approximately $117.50.

The total instalment price is the price of the furniture plus the interest charged. Since Mary made a down payment of 15%, the amount that is subject to interest is 85% of the total price. Therefore:

Total price = (100% / 85%) * $750 = $882.35

The interest charged is 6% of the total price over the 8-month payment period. Therefore:

Interest charged = 6% * $882.35 * (8 / 12) = $35.29

The total installment price is the sum of the total price and the interest charged:

Total installment price = $882.35 + $35.29 = $917.64

To find the monthly payments, we can use the formula for the present value of an annuity:

Payment = [tex]\mathrm{PV \times (r / (1 - (1 + r)^{(-n)}))}[/tex]

where PV is the present value (total installment price), r is the interest rate per month (6% / 12 = 0.005), and n is the number of payments (8).

Substituting the values:

Payment = $917.64 × (0.005 / [tex](1 - (1 + 0.005)^{(-8)}[/tex] ≈ $117.50

Therefore, Mary's monthly payments will be approximately $117.50.

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When you accrue interest, it means that A. monetary value is added to your account.

Accruing interest means computing, determining or adding the interest amount due on the principal (sometimes on the principal and accumulated interest) fora period.

When a person accrues interest, it does not mean that they get discounts off their monthly charges or have to pay extra.  It does not mean that people want to be involved in your account.

Thus, when a person accrues interest, it involves adding additional monetary value to the account.

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Answer:

A = 273 m^2

Step-by-step explanation:

We have two shapes:

One Triangle and One Rectangle

Area of Triangle: A = 1/2*B*H

Area of Rectangle: A = L*W

Area of Triangle:

A = 1/2 * 6 * 7

A = 3 * 7

A = 21 m^2

Area of Rectangle:

A = 18 * 14

A = 252 m^2

Now add Area of Triangle and Area of Rectangle to get the whole area of the shape.

A = 21 + 252 = 273 m^2

AnB and AUB have been labelled in the attached image.

Venn diagrams are the diagrams used to visually describe sets, relationships between sets, and operations carried out on them. John Venn (1834–1883) invented the Venn diagram, which makes use of circles (overlapping, intersecting, and non–intersecting) to show the relationship between sets. A Venn diagram can also be referred to as a set diagram or a logic diagram that illustrates various set operations including the intersection, union, and difference of sets. Subsets of a set are also represented using it.

A subset of whole numbers, which is a subset of integers, is a collection of natural numbers, as an example. The Venn diagram can demonstrate the relationship between the sets of whole numbers, integers, and natural numbers.

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Answer:

To determine how many Pokémon cards Mary can buy, we need to divide the amount of money she has by the cost per card:

$4,032 ÷ $4 = 1,008

Mary can buy 1,008 Pokémon cards.

Answer:

I would say "not proportional" only because it's graphed on a dotted line.

If I were you, I would wait on a second opinion.

Answer:

Step-by-step explanation:

Let's call the length of the pen perpendicular to the barn "w", and the length parallel to the barn "l".

The total amount of fencing available is 400 feet. The side against the barn will be of length l, and the other two sides will each be of length w. Therefore, the total length of fencing required is:

l + 2w

This length of fencing must equal 400 feet:

l + 2w = 400

We want to maximize the area of the pen. The area of a rectangle is given by:

A = lw

We can use the equation l + 2w = 400 to solve for l:

l = 400 - 2w

Substituting this expression for l into the equation for the area, we get:

A = w(400 - 2w)

Simplifying:

A = 400w - 2w^2

So the equation to model the area of the pen in terms of w is:

A = 400w - 2w^2

30% or 3/10

Bob is 4/5

His sister is 1/2

convert to percents so 80% and 50%

he ran 30% more of a mile (3/10)

Answer:

Let's break down the cost and revenue for Jack's toy car sales:

The cost to Jack is the website fee of $30.

The revenue for Jack is the number of toy cars he sells (c) multiplied by the selling price of each toy car, which is $4 per toy car.

To make a profit of at least $50, Jack's revenue must be at least $80 ($30 website fee + $50 profit). Therefore, we can set up the following inequality:

4c - 30 ≥ 50

Solving for c, we get:

4c ≥ 80

c ≥ 20

So, Jack must sell at least 20 toy cars to make a profit of at least $50. The correct answer is option B: 34c ≥ 50.

Answer:

B

Step-by-step explanation:

34c < 50 = 136 (136 is greater than 50 wrong sign) x

B 34c > 50 = 136 (136 is greater than right sign)

C 4c-30 > 50 = -14 > 50 (wrong)

D 4c + 30 > 50 = 46 > 50 ( 46 is not greater than 50)

Therefore , the solution of the given problem of graph comes out to be the graph is a symmetric wave that oscillates between 5 and 5.

Mathematicians use graphs to logically chart or illustrate claims rather than values in an interesting visual way. Usually, a graph point shows the connection between two or more objects. A graph is a particular kind of non-linear railway assembly composed of nodes and lines. The nodes, also known as the borders, should be joined together with glue. The node numbers in this network included 1, 2, 3, and 5, while the edge numbers included 1, 2, 3, and 4, along with (2.5), (3.5), (4.5), but also (4.5). (4.5).

Here,

Plotting a few important spots will help us later when we sketch the graph of f(t) = 5 cos(t).

Since the function has a phase of 2, we can concentrate on the range from 3/2 to 3/2. We possess

=> f(−3/2) = 5 cos(−3/2) ≈ 4.515

=> f(−π) = 5 cos(−π) = −5

=> f(−1/2) = 5 cos(−1/2) ≈ 4.045

=> f(0) = 5 cos(0) = 5

=> f(1/2) = 5 cos(1/2) ≈ 4.045

=> f(π) = 5 cos(π) = −5

=> f(3/2) = 5 cos(3/2) ≈ 4.515

Using these coordinates, we can create the following f(t) graph:

With maximum positions at t = /2 and t = /2, and minimum points at t = 3/2, t = 1/2, t = 1/2, and t = 3/2,

the graph is a symmetric wave that oscillates between 5 and 5.

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Cοnsequently, a 270° center angle's sectοr has an area οf 37.7 feet².    A: 37.7 feet².

A circle is a clοsed, twο-dimensiοnal οbject that can be described as the cοllectiοn οf all pοints in a plane that are equally spaced frοm the circle's center. The diameter οf a circle is equal tο the distance traveling thrοugh its center, while the radius is the distance frοm the center tο any lοcatiοn οn the circle. A circle's area is the rοοm it enclοses, while its circumference is the distance it spans.

given

We must apply the fοllοwing algοrithm tο determine the sectοr's area:

Sectοr area is equal tο (angle at center/360°) * radius * 2

Radius is 4 feet, and the center angle is 270 degrees. By replacing these numbers, we οbtain:

Sectοr area equals (270/360) * * 42.

Sectοr area equals (0.75) * 3.14 * 16

Sectοr size: 37.7 square feet (rοunded tο the nearest tenth)

Cοnsequently, a 270° center angle's sectοr has an area οf 37.7 feet².    A: 37.7 feet².

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Answer:

Step-by-step explanation:

To solve this system of equations by substitution, we need to solve one of the equations for one of the variables, and then substitute that expression into the other equation. Here's how we can do that:

y = x - 6 (equation 1)

We can solve equation 1 for y by adding 9x to both sides:

9x + y = x - 6 + 9x

y = -8x - 6 (equation 2)

Now we can substitute equation 2 into equation 3 and solve for x:

-8x - 6 = -9x + 14

Adding 8x to both sides, we get:

y = -x + 8

Subtracting 14 from both sides, we get:

-x = -6

Dividing both sides by -1, we get:

x = 6

Now that we have found the value of x, we can substitute it back into equation 1 or equation 2 to find the value of y. Let's use equation 2:

y = -8(6) - 6

y = -54

Therefore, the solution to the system of equations is:

x = 6, y = -54

We can check this by substituting these values into the original equations:

-9(6) + 14 = -54

6 - 6 = 0

So the values of x and y satisfy both equations, and therefore they are the solution to the system.

The probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years IS 0.528.

The binomial probability formula is used to calculate the probability of getting exactly k successes in n independent trials, where each trial has only two possible outcomes (success or failure) and the probability of success is denoted as p. The formula is:

Here we have  

39.6​% of consumers believe that cash will be obsolete in the next 20 years.

Let p be the probability that a consumer believes that cash will be obsolete

=> p = 39.6% or 0.396.

Then, the probability that a consumer does not believe that cash will be obsolete is q = 1 - p = 0.604.  

We need to find the probability that less than 3 of the selected consumers believe that cash will be obsolete.

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

Using the binomial probability formula, we have:

[tex]P(X = k) = C(n,k) \times p^k\times q^{(n-k)[/tex]

=> P(X = 0) = C(6, 0) × (0.396)⁰ × (0.604)⁶ = 0.048

=> P(X = 1) = C(6, 1) × (0.396)¹ × (0.604)⁵ = 0.18

=> P(X = 1) = C(6, 2) × (0.396)² × (0.604)⁴ = 0.3

P(X < 3) = 0.048 + 0.18 + 0.3 = 0.528        

Therefore,

The probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years IS 0.528.

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Answer:1,051,200 minutes.

Step-by-step explanation:

To analyze how many minutes there are in a year will allow us to multiply that number by two to get how many minutes there are in two years.

There are 365 days in a year.

There are 24 hours in a day.

There are 60 minutes in an hour.

365 days x 24 hours x 60 minutes

= 525, 600 minutes in one year

525, 600 minutes x 2 (year)

= 1, 051, 200 minutes

There are 1, 051, 200 minutes in 2 years.

Answer:

Step-by-step explanation:

HI:

Area of rectangle: 8*8= 64

Area of triangle: 4*8=32/2= 16

64+16= 80

Answer: 80ft^2

The value of x in the given arrangement of equilateral triangle and isosceles triangle is 88°

An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.

Given that,

A arrangement which contains,

one equilateral triangle ABE &

one isosceles triangle CDE

It is known that sum of all the angles in each direction is 180°.

ΔAEB is equilateral triangle,

so angle will be of 60°

∠AEB = 60°

And in isosceles triangle,

∠EDC = ∠ECD

∠ADC = 90°

∠ADC = ∠ADE + ∠EDC

90°  =  62°  + ∠EDC

∠EDC  = 28°  = ∠ECD

It is known that sum of all the interior angles of the triangle is 180°.

∠EDC  + ∠ECD + ∠DEC   = 180°

28° + 28° + ∠DEC   = 180°

∠DEC   = 124°

Now sum of all the angles around point E is 360°

∠AED + ∠DEC + ∠BEC + ∠AEB  = 360°

x   +  124°  + x  + 60°  = 360°

2x  = 176°

x = 88°

Hence, the value of x is 88°

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The blank in the sentence can be filled by the word "date." The date appears on correspondence, such as invoices and statements, to indicate the day on which the document was issued or created.

Multiplying, dividing, adding, and subtracting are all mathematical operations. As an example, consider the following expression: Expression, mathematics, and a numeric value Numbers, parameters, and functions are the components of an expression in mathematics. Using opposing words and phrases is possible. An expression, sometimes referred to as an algebraic expression, is any mathematical statement that includes variables, numbers, and a mathematical action between them. For instance, the expression 4m + 5 is made up of the expressions 4m and 5, as well as the variable m from the previous equation, all of which are separated by the mathematical symbol +.

The blank in the sentence can be filled by the word "date." The date appears on correspondence, such as invoices and statements, to indicate the day on which the document was issued or created.

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Graph B is the one which can best convince others that the average minimum temperature in San Francisco is much colder in January than in August.

Basically, a temperature refers to measurement of hotness or coldness expressed in terms of any of several scales, including Fahrenheit and Celsius. The level of temperature falls between the maximum and minimum temperatures or between the highest and lowest mean temperatures during a specified time interval.

The Graph A in this context, shows that there is a linear temperature level from January to August, but the Graph B, is different because it shows that the temperature level is at lowest (coldest) in January and rises as the year proceeds. Therefore, the Graph B must be used to convince others that the average minimum temperature in San Francisco is much colder in January than in August.

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14 ft³ is equal to 104,720 fluid ounces.

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

We have to convert 14 ft³ to fluid ounces

we need to use the conversion factor: 1 ft³ = 7,480 fluid ounces

Multiplying both sides by 14, we get:

14 ft³ = 14 x 7,480 fluid ounces

= 104,720 fluid ounces

Therefore, 14 ft³ is equal to 104,720 fluid ounces.

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The triangle will have a perimeter of 19 units.

Triangle perimeter: The circumference of any two-dimensional figure is referred to as its perimeter. By adding the lengths of the sides, we can determine the perimeter of any closed shape. You will first learn what the perimeter is in this article.

For a triangle, the perimeter is the sum of all the sides of the triangle. To calculate the perimeter add all the sides of the triangle as below,

Perimeter = 4 + 6 + 9

Perimeter = 19 units

Therefore, the perimeter of the triangle is 19 units.

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The complete question is given below.

The sides lengths 4, 6, and 9 can be used to form the size of a triangle. Find the perimeter of the triangle.

a. Find (A(2)-A(0))/2, (B(2)-B(0))/2, and (C(2)-C(0))/2.

b. Find (A(12)-A(10))/2, (B(12)-B(10))/2, and (C(12)-C(10))/2. Compare the rates of change between the three loans for each interval.

a. To find the average rate of change per year between the start of the loan and the end of the second year, we need to calculate the difference in the amount owed after two years and the amount owed at the start of the loan, and then divide by two.

For loan A:

Average rate of change = (A(2) - A(0))/2

For loan B:

Average rate of change = (B(2) - B(0))/2

For loan C:

Average rate of change = (C(2) - C(0))/2

b. To find the average rate of change per year between the end of the tenth year and the end of the twelfth year, we need to calculate the difference in the amount owed at the end of the twelfth year and the amount owed at the end of the tenth year, and then divide by two.

For loan A:

Average rate of change = (A(12) - A(10))/2

For loan B:

Average rate of change = (B(12) - B(10))/2

For loan C:

Average rate of change = (C(12) - C(10))/2

2. We can compare the average rates of change for the three loans in each of the two-year intervals by comparing their values. If the average rate of change is positive, it means the amount owed is increasing, while if it is negative, it means the amount owed is decreasing. We can compare the rates to see which loan is increasing or decreasing at a faster rate in each interval.

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Answer: Move it to the the left

Step-by-step explanation: 180 degrees is the left straight  line

The x intercept is (2, 0) and the y intercept is (0, 8)

x-intercept and y-intercept are the two main intercepts. The line's x-intercept and y-intercept are located where the line crosses the x and y axes, respectively.

As per the given data:

The function is [tex]f(x) = -3^x + 9[/tex].

For the x intercept, f(x) = 0:

[tex]0 = -3^x + 9\\3^x = 9\\x = 2[/tex]

The x intercept is 2.

For the y intercept, x = 0:

[tex]y = -3^0 + 9\\y = -1 + 9\\y = 8[/tex]

The y intercept is 8.

Hence, The x intercept is (2, 0) and the y intercept is (0, 8)

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For the mapping diagram 1, we have that the domain and the range are given as follows:

It does not represent a function, as the input of 10 is mapped to different outputs.

For the mapping diagram 2, we have that the domain and the range are given as follows:

It represents a function, as each value of the input is mapped to a single output.

The concepts for the domain and the range of the diagram are defined as follows:

The mapping diagram will represent a function if each value of the input is mapped to a single output.

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Answer:

Step-by-step explanation:

yes

Yes, Jeff is correct.

Using the chain rule, the value for dz/dt is obtained as [tex]dz/dt = 2(2t + (4 - t^2)e^{(4-t^2)}) ((1 - t)e^{(4-t^2)})[/tex].

What is chain rule?

The chain rule is the formula used to determine the derivative of a composite function, such as cos 2x, log 2x, etc. Another name for it is the composite function rule. Only composite functions are subject to the chain rule.

To find dz/dt using the chain rule, we need to differentiate each term of z with respect to t, then multiply by the derivative of the inner function with respect to t.

First, we have -

x = 2t

Taking the derivative with respect to t, we get -

dx/dt = 2

Next, we have -

y = 4 - t²

Taking the derivative with respect to t, we get -

dy/dt = -2t

Using the chain rule, we have -

[tex]dz/dt = (x + y)e^y \times (\frac{dx}{dt} + \frac{dy}{dt}e^y)[/tex]

Substituting x and y into this equation, we get -

[tex]dz/dt = (2t + (4-t^2))e^{(4-t^2)} \times ((2 - 2t) e^{(4-t^2)})[/tex]

Simplifying this expression, we get -

[tex]dz/dt = 2(2t + (4 - t^2)e^{(4-t^2)}) ((1 - t)e^{(4-t^2)})[/tex]

Therefore, the value is obtained as [tex]dz/dt = 2(2t + (4 - t^2)e^{(4-t^2)}) ((1 - t)e^{(4-t^2)})[/tex].

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Answer:

The result of subtracting 3 km 500 m from 10 km is 6500 m (Or expressed in kilometers: 6.5 km).

Step-by-step explanation:

Hi,

We need to convert both measurements to the same unit (either km or meters) and then subtract:

Reminder:

1 km = 1000 m

=> 10 km = 10 * 1000 = 10000 m

=> 3 km 500 m = 3 * 1000 + 500 = 3500 m

Now we can subtract:

10000 m - 3500 m = 6500 m

The result of subtracting 3 km 500 m from 10 km is 6500 m (Or expressed in kilometers: 6.5 km).

Good luck!

The slope of f(x) = x² - x + 2 at x = 3 is 6.

The limit definition of a derivative is given by:

f'(x) = lim(h->0) [f(x+h) - f(x)] / h

To find the slope of f(x) = x² - x + 2 at x = 3, we need to evaluate this expression at x = 3.

f'(3) = lim(h->0) [f(3+h) - f(3)] / h

f'(3) = lim(h->0) [(3+h)² - (3+h) + 2 - (3² - 3 + 2)] / h

f'(3) = lim(h->0) [(9 + 6h + h² - 3 - h + 2 - 9 + 3 - 2)] / h

f'(3) = lim(h->0) (6h + h²) / h

f'(3) = lim(h->0) (h(6 + h)) / h

f'(3) = lim(h->0) (6 + h)

Now we can evaluate the limit by plugging in h = 0:

f'(3) = 6 + 0 = 6

Therefore, the slope of f(x) = x² - x + 2 at x = 3 is 6.

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