24) The radius of a circle is 6 inches. What is the area of a sector that has a central angle of 100 degrees 

Answer:

Factor the numerator and denominator and cancel the common factors.

Step-by-step explanation:

3x² + 5x - 1

The inequality of the situation is |x - 87| <= 25

From the question, we have the following parameters that can be used in our computation:

Attendance to number within 25 of last year’s 87 students.

Represent the attendance with x

Using the above as a guide, we have the following:

|x - Last year| <= Within

Substitute the known values in the above equation, so, we have the following representation

|x - 87| <= 25

See attachment for the inequality

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The inverse of the function f(x) = x + 4 is given as f⁻¹(x) = x - 4

An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by f-1 or F-1.

In this problem, the function given is f(x) = x + 4;

We can find the inverse of the function as;

y = x + 4;

Let's switch the variables by replacing x as y and y as x;

x = y + 4

Solving for y;

y = x - 4

f⁻¹(x) = x - 4

The graph of the function is attached below

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Answer:18

Step-by-step explanation:

Answer:

b,d,c

Step-by-step explanation:

y = 1 4 x calculates the number of eggs, y, for x crepes. The constant of proportionality is 1 4 . Ella needs 15 eggs to make 60 crepes. y = kx, where k is the constant of proportionality → y = 5 eggs 20 crepes x → y = 1 4 x; thus, k = 1 4 y = 1 4 (60) = 15 eggs

For 60 creps, 15 eggs will be needed.

Given is that the number of eggs used in the recipe is proportional to the number of crepes being made. The recipe calls for 5 eggs per 20 crepes. Sixty crepes will be served

Now, for 20 creps, 5 eggs are needed.

Then for 1 crep, (5/20) eggs are needed.

For 60 creps, (5/20) x 60 = 15 eggs will be needed.

Therefore, For 60 creps, 15 eggs will be needed.

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Answer:

You will have 3 apples left because 5 - 2 = 3.

(Hope this helps! Btw, I am the first to answer. Brainliest pls! :D)

Answer:

Step-by-step explanation:

4x + 10

C.

4-7(x+5)

4-7x+5

-7x+9

B. 2+5(x-7)

7(x-7)

7x-49

D. 7-3(x - 5)

7-3x-15

-3x-8

its 1,002

golly gee this is hard... um take the one put it in the box..? maybe 7?

The area of the shaded portion in the equilateral triangle with sides 6 is 9√3 - 36π.

To find the area of the shaded portion in the equilateral triangle, we need to determine the area of the three arcs and subtract it from the area of the equilateral triangle.

First, let's find the area of one arc. Each arc has a radius equal to the length of the side of the equilateral triangle, which is 6. The formula for the area of a sector is A = (θ/360)πr², where θ is the central angle in degrees.

In an equilateral triangle, each interior angle measures 60 degrees, so the central angle of the arc is 120 degrees (360 degrees divided by 3). Plugging these values into the formula, we get A_arc = (120/360)π(6)² = (1/3)π(6)² = 12π.

Since there are three identical arcs, the total area of the arcs is 3 times the area of one arc, which is 3(12π) = 36π.

Now, let's find the area of the equilateral triangle. The formula for the area of an equilateral triangle is A_triangle = (√3/4)s², where s is the length of a side.

Plugging in the value of the side length, we have A_triangle = (√3/4)(6)² = (√3/4)(36) = 9√3.

Finally, we subtract the area of the arcs from the area of the equilateral triangle to find the shaded portion's area: A_shaded = A_triangle - A_arc = 9√3 - 36π.

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11. Angle KEF = 40°, Angle KEJ = 50°

12. Angle HEF = 115°, Angle KED = 140°

13. Angle JEF = 90°, Angle KEF = 90°

14.   Angle DEF = 180°

The study of points, lines, and shapes in two and three dimensions, as well as their properties and relationships, is the focus of the mathematical discipline known as geometry.

11.  Acute angles: Those angles are less than 90 degree angles.

     Angle KEF = 40°

     Angle KEJ = 50°

     Angle KEH = 75°

     Angle JEH = 25°

     Angle HED = 65°

12. Obtuse angles: Those angles are more than 90 degree angles.

     Angle HEF = 115°

     Angle KED = 140°

13. Right angle: Those angles are 90 degree angle.

     Angle JEF = 90°

     Angle KEF = 90°

14. Straight angle: Those angles make 180 degree angle.

     Angle DEF = 180°

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Answer:

  (a)  twenty-eight ninths, square root of nineteen, cube root of eighty-eight

Step-by-step explanation:

When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.

The attachment shows the ordering, least to greatest, to be ...

  \(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)

__

Additional comment

We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.

One way to do the comparison is to convert these to values that need to have the same root:

  √19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)

  ∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)

The roots will have the same ordering as 19³ and 88².

Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...

  19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859

  88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744

Then the ordering is ...

  28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Answer:

the ordering is

28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Step-by-step explanation:

Answer:

17u+15

Step-by-step explanation: 15u+2u=17u add 8+7=15

Answer:

17u+15

Step-by-step explanation:

2u+15u+7+8

17u+15

Answer: To the nearest dollar,  you should invest $84,639

Step-by-step explanation:

First, we need to calculate the number of compounding periods in a year.

For the first 18 months, the compounding period is monthly, so there are 18 x 12 = 216 compounding periods

For the next 6 months, the compounding period is quarterly, so there are 6 x 4 = 24 compounding periods

For the last 12 months, the compounding period is semi-annual, so there are 12 x 2 = 24 compounding periods

The total number of compounding periods is 216 + 24 + 24 = 264

Next, we need to calculate the effective annual interest rate for the entire 3-year period.

The effective annual interest rate is (1 + (8%/216))^216 x (1 + (1.5%/24))^24 x (1 + (2%/24))^24 - 1

Now we can calculate the principal amount (P) required to achieve the desired maturity value (F) using the formula:

P = F / (1 + r)^n

where F is the maturity value, r is the effective annual interest rate and n is the number of compounding periods

P = 100,000 / (1 + r)^264

Explanation: To receive $100,000 on the maturity date, the principal amount has to be invested such that it earns the effective annual interest rate for the entire 3-year period. The principal amount was calculated using the formula for future value of an investment, where the maturity value, effective annual interest rate and the number of compounding periods are known.

A recurrence relation is a mathematical expression that expresses the value of a sequence or function at smaller inputs. Recurrence relations are commonly used in computer science to describe the running time of algorithms that use a divide-and-conquer approach.

T(n) represents the running time of an n-dimensional problem. If the problem size is small enough, n c, where c is a constant, the simple solution takes constant time, denoted as (1).

When the problem size is not small, the algorithm divides it into n/b sub-problems. The required time to solve the problem is a. T(n/b), where an is a constant(n) is the time required for division, and C is the time required for combining the results of subproblems (n).

The recurrence relation is a mathematical expression that describes the algorithm's running time, taking into account the time required for division, the time required for sub-problem solving, and the time required for combining the results. T(n) = D(n) + a.T(n/b) + C represents the recurrence relation (n).

This recurrence relation can be used to compare the time complexity of divide-and-conquer algorithms to other algorithms.

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Answer:

$15.48

Explanation:

100 ÷ 6.46 = 15.479876

The vertex of the parabola is ( 0, -4). The correct option is F.

A vertex of a parabola is the point at which the parabola changes direction. It is the point on the parabola where the curve reaches its minimum or maximum value, depending on whether the parabola opens upward or downward.

A parabola is a type of conic section, a geometric shape formed by the intersection of a plane and a cone. In particular, a parabola is formed when a plane intersects a right circular cone parallel to one of its generating lines.

From the given graph the vertex of the parabola is,

Vertex = ( 0, -4 )

Therefore, the vertex is (0,-4).

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The statement that is not correct, obtained from the box plot is the option C.

C. The Wild Viper has a larger range of wait times than the Red Racer

A box plot is a diagram displaying of the five number summary of a dataset.

The box plot indicates that we get;

The median wait time is the time indicated as the second quartile or the 50th percentile

The data on the box plot indicates that the median wait time for both rides is 35 minutes

The maximum wait time for the Red Racer = 55 minutes

The maximum wait time for the Wild Viper = 60 minutes

Therefore, the Red Racer has a shorter maximum wait time than the Wild Viper

The range of wait time for the Wild Viper is; 60 - 15 = 45 minutes

The range of wait time for the Red Racer = 55 - 10 = 45 minutes

The interquartile range for the Red Racer = 45 - 20 = 25 minutes

The interquartile range for the Wild Viper = 50 - 30 = 20 minutes

The Red Racer has a larger Interquartile range than the Wild Viper;  

The statement that is not true is therefore;

C. The Wild Viper has a larger range of wait times than the Red Racer

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Answer:

x = 2

y = 15

Step-by-step explanation:

As the triangle is split with a line that is parallel to the base:

\(\implies x:6=6:18\)

\(\implies \dfrac{x}{6}=\dfrac{6}{18}\)

\(\implies x=\dfrac{6\cdot 6}{18}\)

\(\implies x=\dfrac{36}{18}\)

\(\implies x=2\)

Similarly:

\(\implies y:20=6 : (6+x)\)

\(\implies y:20=6:8\)

\(\implies \dfrac{y}{20}=\dfrac68\)

\(\implies y=\dfrac{6 \cdot 20}{8}\)

\(\implies y=\dfrac{120}{8}\)

\(\implies y=15\)

Answer:

x= 5.18

y= 16.97

Step-by-step explanation:

Solve Y first-

trigonometric theorems-

\(c^2 =a^2 + b^2\\\\b^2 =c^2 - a^2\)

\(y^2 =18^2-6^2 \\y^2 =324 - 36\\y^2= 288\\\sqrt{2} = \sqrt{288} \\ y=16.97\)

solve x-

20-16.97=3.03

x=5.18

(I'm not sure if the answers are correct. I tried my best. I was confused to solve x though. )

The smallest positive debt that can be paid off using sticker trading is $7$ dollars.

To find the smallest positive debt that can be paid off using sticker trading, we need to consider the values of the stickers (in dollars) and find the smallest positive amount that can be reached through a combination of these values.

Given that a Harry Potter sticker is worth $49 and a Twilight sticker is worth $35, we can approach this problem using the concept of the greatest common divisor (GCD) of these two values.

The GCD of $49$ and $35$ is $7$. This means that any multiple of the GCD can be represented using these sticker values.

In other words, any positive multiple of $7$ dollars can be paid off using sticker trading.

Therefore, the smallest positive debt that can be paid off using sticker trading is $7$ dollars.

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Based on the information, the Stafford loan will have a lower balance by $527.14 at the time of repayment

Using the formula for compound interest, the total cost of the loan can be calculated as follows:

Total cost of Stafford loan = $11,650 x (1 + 0.0595/12)^(12*0.5) = $12,652.14

Total cost of PLUS loan = $12,436.41 x (1 + 0.0655/12)^12 = $13,179.28

Therefore, the Stafford loan will have a lower balance at the time of repayment by $527.14 ($13,179.28 - $12,652.14).

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Answer:

Line of reflection → x = 1

Step-by-step explanation:

Coordinates of B → (3, 2)

Coordinates of B' → (-1, 2)

If point B is reflected across a vertical line x = a, both the points B and B' will be equidistant from the line of reflection.

Coordinates of the midpoint of the segment joining B and B'

= \((\frac{x_+x_2}{2},\frac{y_1+y_2}{2})\)

= \((\frac{3-1}{2},\frac{2+2}{2})\)

= (1, 2)

Line of reflection will pass through this midpoint (1, 2)

Therefore, equation of the line of reflection will be,

x = 1

Answer:

(b+2)/3 I hope this helps you! Have a great day :)

Answer C -16 is the answer

Answer:

I think it's A, if not it's b, i tried-

it's a, if not, b

Step-by-step explanation:

Answer:

8 ≤t≤16

Step-by-step explanation:

We know the low temperature was 8

8≤ t

And the high was 16

8 ≤t≤16

Answer:

what is the question?

Step-by-step explanation:

Answer: \(23^{\circ}\)

Step-by-step explanation:

Angles around a point add to 360 degrees.

The surface area of the cylinder is 131.88 in².

A cylinder is a three-dimensional figure that has a radius and a height.

The volume of a cylinder is given as:

Example:

The volume of a cup with a height of 5 cm and a radius of 2 cm is

Volume = 3.14 x 2 x 2 x 5 = 62.8 cubic cm

We have,

The surface area of the cylinder = 2B + P h

Where B is the base area and P is the perimeter.

B = πr² and P = 2πr

Now,

We will assume that,

The radius of the cylinder = 3 in.

The height of the cylinder = 4 in.

So,

The surface area of the cylinder.

= 2B + P h

= 2πr² + 2πrh

= 2 x 3.14 x 3² + 2 x 3.14 x 3 x 4

= 56.52 + 75.36

= 131.88 in²

Thus,

131.88 in² is the surface area of the cylinder.

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Answer:

Lafayette Square is about 5688.89 square yards  

Step-by-step explanation:

The scale factor( ratio between the two sides) is 8 inches long to 4 inches wide or 2 to 1;  2 inches to one 1

Given the actual park is 160 feet wide ( need this measurement in inches).

so the actual part is 160 · 12 = 1920 inches wide.

Using the ratio long/ wide = long/ wide 2/1 = ?/1920.  The part is 3840 inches long.

Answer need to be in yards:  divide by 36 because 36 inches = 1 yard.

Long = 3840/36 = 320/3 yards

wide = 1920/36 = 160/3 yards

Actual area = L · W

                   = (320/3)·(160/3)

                   = 51200/9

                    = 5688.89 square yards