Graph y = x^5 and y = x^6

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)

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

Answer:

21.25 inches.

Step-by-step explanation:

I'm guessing that you want to find how many inches a pond is if 1 in. = 4 ft.

To do this, we have to take our feet 85.

Then, we divide by how many feet equals one inch.

85/4 = 21.25 inches.

Answer:

B

subtract 20

80,60,40.....

Step-by-step explanation:

it's the arithmetic sequence having difference of 20

Answer:

Step-by-step explanation:

5/6 - 2/5 = 25/30 - 12/30 = 13/30

Answer:

Step-by-step explanation:

To subtract two fractions, we need a common denominator. The smallest number that 6 and 5 both divide into is 30.

Converting the fractions to have 30 as the denominator, we get:

5/6 = 25/30

2/5 = 12/30

Now we can subtract:

25/30 - 12/30 = 13/30

Therefore, 5/6 - 2/5 = 13/30 in simplest form.

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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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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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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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.

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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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.

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)

The equation [tex]\sqrt{x} +\sqrt{8}=\sqrt{x+8}[/tex] is an example of the square root property. The square root property states that for any real number a, b, and c, if and only if a + b = c. This property can be used to simplify and solve equations involving square roots.

What does square root mean?

The square root of a number is the number that, when multiplied by itself, produces the original number. For instance, the square root of 16 is 4, because 4 multiplied by itself (4 x 4) equals 16.

The equation [tex]\sqrt{x} +\sqrt{8}=\sqrt{x+8}[/tex] is true because it satisfies the square root property. To see this, note that [tex]\sqrt{x} +\sqrt{8}=\sqrt{x+8}[/tex] implies that x+8=x+8, which is true. Therefore, the equation is true.

To solve for x, we will use the square root property. We know that [tex]\sqrt{x} +\sqrt{8}=\sqrt{x+8}[/tex], so we can rewrite the equation as [tex]\sqrt{x} +\sqrt{8}-\sqrt{x+8}=0[/tex]. We can then use the square root property to simplify the equation to [tex]\sqrt{x} -\sqrt{x}=0[/tex], which implies that x=0. Therefore, the solution to the equation [tex]\sqrt{x} +\sqrt{8}=\sqrt{x+8}[/tex] is x=0.

In conclusion, the equation [tex]\sqrt{x} +\sqrt{8}-\sqrt{x+8}=0[/tex] is an example of the square root property, and the solution to the equation is x=0.

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Step-by-step explanation:

he should have multiplied

The slope of the equation is -2/3 and the y-intercept is 14/3.

A y-intercept is the place where a line or curve crosses, or touches, the y-axis the vertical, often darkened line in the center of a graph.

Since, the equation is not clear, let us consider the equation, 2x+3y = 14

The slope intercept form of a line is given by =

y = mx+c, where m is the slope and the c is the y-intercept.

Converting the assumed equation into slope intercept form,

2x+3y = 14

3y = -2x+14

y = -2x/3+14/3

Here we get the slope = -2/3 and y-intercept = 14/3

Hence, the slope of the equation is -2/3 and the y-intercept is 14/3.

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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 height of the parallelogram is 5.4 units.

What is area ?

In mathematics, the area is the measure of the size of a two-dimensional surface or region, usually expressed in square units, such as square inches or square meters. The area of a flat shape or planar figure is the amount of space inside its boundary, or the surface of the object, that is covered by a two-dimensional geometric shape.

One way to find the height is to draw a perpendicular line from point B to line segment AD, forming a right triangle. Let's call the length of this perpendicular line h.

Now we can see that the base of the parallelogram is 10 units (from A to D), and the height is h units (from B to the perpendicular line we drew). The area of the parallelogram is given as 54 units², so we can set up the following equation:

Area = base x height

54 = 10h

Solving for h, we get:

h = 54/10 = 5.4

Therefore,  the height of the parallelogram is 5.4 units.

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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:

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 answer of the given question based on the  length in each isosceles right triangle is given below,

An isosceles right triangle is right triangle in which two legs have the same length, making it isosceles triangle, and one of angles is right angle, making it right triangle.  an isosceles right triangle,  two acute angles are congruent, each measuring 45 degrees, and  hypotenuse is equal in length to legs multiplied by √2.

The isosceles right triangle is special case of  45-45-90 triangle, where  angles measure 45 degrees, 45 degrees, and 90 degrees, respectively. In  45-45-90 triangle, the hypotenuse is equal in length to  legs multiplied by √2.

a. If the hypotenuse is 102√, then each leg is the same length as the hypotenuse divided by √2. Therefore:

Leg = 102√/√2 = 102

b. If one leg is 92√, then the hypotenuse is the length of that leg multiplied by √2. Therefore:

Hypotenuse = 92√ * √2 = 92 * 2 = 184.

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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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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

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!

Answer:

x=65

Step-by-step explanation:

So how I would think the equation would be would be 108 + x = 173. So how I would solve this is subtracting 108 from both sides to get x = 65. There is most likely a different way to set this up but thats what comes to mind with me.

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.