On Sunday 440 people visited a museum that charges $9 for each child and $12.50 for each adult. If the museum earned $5,220 on that day, how many adults visited the museum on Sunday? o A. 360 Exhibits O B. 20 w o C. 80 D. 420​

To find the average rate of change of the function f(x) = 1.85x^2 over the interval 10 ≤ x ≤ 20, we need to find the difference in the function values at the endpoints of the interval and divide by the length of the interval.

The function value at x = 10 is:

f(10) = 1.85(10)^2 = 185

The function value at x = 20 is:

f(20) = 1.85(20)^2 = 740

The length of the interval is:

20 - 10 = 10

So the average rate of change of the function over the interval 10 ≤ x ≤ 20 is:

(f(20) - f(10)) / (20 - 10) = (740 - 185) / 10 = 55.5

Rounding to the nearest tenth, the average rate of change of the function over the interval 10 ≤ x ≤ 20 is approximately 55.5.

The result of the division of polynomial 3.23 + 8x2 + 9x + 10 by x + 2 is; 3x² + 2x +5

According to the question given;

By observation of the procedures in the attached image, we may conclude that the expressions (x+2) and (3x² + 2x +5) are factors of; 3x³ + 8x2 + 9x + 10

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We can integrate this S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

We have,

To find the surface area of the revolution about the x-axis of the function f(x) = 5√x over the interval (1.1 to 4.4), we can use the formula for the surface area of revolution:

S = ∫(a to b) 2πy√(1 + (f'(x))²) dx

In this case,

f(x) = 5√x, so f'(x) = (d/dx)(5√x) = 5/(2√x).

Let's calculate the surface area:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + (5/(2√x)²) dx

Simplifying the expression inside the integral:

S = ∫(1.1 to 4.4) x 2π(5√x)√(1 + 25/(4x)) dx

Next, we can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

To find the surface area of revolution about the x-axis of the function

f(x) = 5√x over the interval (1.1 to 4.4), we need to evaluate the integral:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + 25/(4x)) dx

Let's calculate the integral:

S = 2π ∫(1.1 to 4.4) (5√x)√(1 + 25/(4x)) dx

To simplify the calculation, let's simplify the expression inside the integral first:

S = 2π ∫(1.1 to 4.4) (5√x)√((4x + 25)/(4x)) dx

Next, we can distribute the square root and simplify further:

S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx

Thus,

We can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

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Answer:

Step-by-step explanation:

  tan(A) = a/b = 3.3/1.7

  A = arctan(33/17) ≈ 62.7°

  B = 90° -A = 27.3°

  c = √(a²+b²) = √(3.3² +1.7²) = √13.78

  c ≈ 3.7

However, I can still give you some general steps to solve a math problem in 200 words.

Step 1: Read the problem thoroughly and understand what it's asking you to find. This may involve identifying the given information and what you need to find. Also, identify any constraints on the problem, like time or cost.

Step 2: Plan how to solve the problem. Think about what mathematical operations or formulas you can use to find the answer. Make a list of the steps you need to take to solve the problem. Also, determine the units for your answer.

Step 3: Solve the problem. Use the mathematical operations or formulas you've identified in step 2 to find the answer. Show all of your work, including any calculations, so that you can easily check your work later.

Step 4: Check your answer. Make sure that your answer makes sense and that it satisfies any constraints given in the problem. Also, check that your units are correct. If your answer doesn't make sense, go back and review your work to see if you made an error.

Step 5: Reflect on what you've learned. Think about what you did well and what you could improve upon in future problem-solving situations. This will help you become a more effective problem solver in the future.

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Answer:

13

Step-by-step explanation:

use distance formula \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(7-2)^2+(7-(-5))^2} =13\)

Answer:

720 degrees

Step-by-step explanation:

sum of interior angles of any polygon is given by the equation

\(sum \: = (n - 2) \times 180\)

where n is the number of sides of the polygon. in the question the polygon has 6 sides. hence n = 6 and

\(sum \: = (6 - 2) \times 180 \\ = 4 \times 180 \\ = 720 \: degrees\)

Answer:

the statement 'the dilation changed the orientation of the figure' is NOT true

Step-by-step explanation:

the only transformations that can change a figure's orientation is a reflection, not a dilation like is shown.

the first statement is true because it is an enlargement of the shape

the third is true (look at point I and I', point I is (2,2) and becomes (4,4) which follows 2x 2y)

and the fourth is true because the ratios are 1:1:1:1 for both shapes

\(\bold{\huge{\underline{ Answer }}}\)

Here , We have to create a real life problem which is based on the similar traingle.

There are three conditions that proves the given triangles are similar :-

Suppose your teacher told you that the two apple trees in a school garden are similar to each other. Now, you are curious to know why both the trees are similar to each other. you have asked the same question to your teacher, She told you to work on the similar traingles theorem .

Let consider both the apple trees as tree 1 and tree 2

By using similarity theorem

That is,

\(\sf{\dfrac{ 20}{40}}{\sf{ = }}{\sf{\dfrac{12}{24}}}{\sf{=}}{\sf{\dfrac{ 30}{60}}}\)

\(\sf{\dfrac{ 1}{2}}{\sf{ = }}{\sf{\dfrac{1}{2}}}{\sf{=}}{\sf{\dfrac{ 1}{2}}}\)

From above we can conclude that,

Both the apple trees are similar to each other because all the three sides of both the apple trees are in proportion.

The conclusion is that both of the Orange trees are similar to each other because all the three sides of both the Orange trees are in proportion.

Let consider both the Orange trees as tree 1 and tree 2

If we have:-

Height of the tree 1 = 20 m

Height of the tree 2 = 40 m

The shadow casted by Tree 1 = 12 m

The shadow casted by tree 2 = 24 m

The distance between the height and shadow of Tree 1 = 30 m.
The distance between the height and shadow of Tree 2 = 60 m

By using triangle similarity theorem, we have;

20/40 = 12/24 = 30/60 = 1/2

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(A) The range and IQR for boxplot 1 is 10 and 6 respectively.

(B) The range and IQR for boxplot 2 is 12 and 7 respectively.

The interquartile range defines the difference between the third and the first quartile.

The formula for the interquartile range is given below.

Interquartile range = Upper Quartile – Lower Quartile = Q­3 – Q­1

The range is the difference between the lowest and highest values.

The formula for the interquartile range is given below.

Range = Maximum – Minimum

(A) For boxplot 1, we need to find the range and IQR from the given data set.

So, let 34 be the maximum and 24 be the minimum.

\(\text{Range}=\sf 34-24\)

\(\text{Range}=\sf10\)

Therefore, the range is 10.

Now time to find the IQR.

So, let 33 be Q3 and 27 be Q1.

\(\text{IQR}=\sf 33-27\)

\(\text{IQR}=\sf 6\)

Therefore, the IQR is 6.

(B) Now for boxplot 2, we will do the same thing as from part A.

Let's find the range.

So, let 24 be the maximum and 12 be the minimum.

\(\text{Range}=\sf 24-12\)

\(\text{Range}=\sf12\)

Hence, the range is 12.

Now for the IQR.

So, let 22 be Q3 and 15 be Q1.

\(\text{IQR}=\sf 22-15\)

\(\text{IQR}=\sf 7\)

Hence, the IQR is 7.

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Answer:

Domain = (-∞, ∞) Range = (-∞, ∞)

End Behavior: As X -> -∞, Y -> -∞ | As X -> ∞, Y -> ∞

Inflection Point: (2,0)

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

Perimeter = 2*width + 2*length

So

240 = 2w + 2l

120 = w + l

l = 120 - w

(a) Area = w*l

Substituting for l:

A = w(120 - w)

A = 120w - w^2

(b)

Finding the derivative:

A = 120w - w^2

A' = 120 - 2w

For a maximum area A' = 0, so:

120 - 2w = 0

2w = 120

w = 60 yards for maximum area.

(c)

Maximum area

= 120*60 - 60^2

= 3600 yd^2.

Answer:

f(x) = 2x³ - 5x² + 7x - 7

Step-by-step explanation:

In the division statement: m ÷ n = q + \(\frac{r}{n}\)

Let us use the fact above to solve the question

∵ f(x) is divided by (2x - 3), the quotient is x² - x + 2 and the remainder is -1

∴ f(x) is the dividend ⇒ m

∴ (2x - 3) is the divisor ⇒ n

∴ (x² - x + 2) is the quotient ⇒ q

∴ -1 is the remainder ⇒ r

→ Use the rule above to find f(x)

∵ f(x) = (x² - x + 2) × (2x - 3) + -1

∴ f(x) = (x² - x + 2)(2x - 3) - 1

→ Multiply the 2 brackets at first

∵ (x² - x + 2)(2x - 3) = x²(2x) + x²(-3) + -x(2x) + -x(-3) + 2(2x) + 2(-3)

∴ (x² - x + 2)(2x - 3) = 2x³ - 3x² - 2x² + 3x + 4x - 6

→ Add the like terms

∴ (x² - x + 2)(2x - 3) = 2x³ + (-3x² - 2x²) + (3x + 4x) - 6

∴ (x² - x + 2)(2x - 3) = 2x³ + (-5x²) + 7x - 6

∴ (x² - x + 2)(2x - 3) = 2x³ - 5x² + 7x - 6

→ Substitute it in f(x)

∴ f(x) = 2x³ - 5x² + 7x - 6 - 1

→ Add the like term

∵ f(x) = 2x³ - 5x² + 7x + (- 6 - 1)

∴ f(x) = 2x³ - 5x² + 7x + (-7)

∴ f(x) = 2x³ - 5x² + 7x - 7

EXPLANATION

We need to use the Compounding Interest Equation as shown as follows:

Where P=Principal = 14,000 r=rate in decimal form = 3.4/100 = 0.034 n=number of times interest is compounded per unit 't' = 1 t= time = 2029 - 2011 = 18 years

Plugging in the terms into the expression:

Adding numbers:

Computing the power:

Multiplying numbers:

In conclusion, in the year 2029 the value will be $14,476

Answer:

z= 40

y=140

x= 115

Step-by-step explanation:

look at the pics

Answer:

191 ft

Step-by-step explanation:

If it's 45.5ft x 50ft, we'll need to put fence around two 45.5ft sides and two 50ft sides.

2*45.5ft + 2*50ft = 91ft + 100ft = 191ft

Answer:

A. Reflection across the y-axis

Step-by-step explanation:

Answer:

yes I just checked it

Step-by-step explanation:

Check the picture below.

\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{2}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{7})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~5 - 2~~)^2 + (~~7 - 1~~)^2} \implies d=\sqrt{( 3 )^2 + ( 6 )^2} \\\\\\ d=\sqrt{ 9 + 36 } \implies d=\sqrt{ 45 }\implies d\approx 6.7\)

Answer:

Hola, supongo que estás preguntando si hay una forma de conversar con otras personas en privado en Brainly.

Actualmente, no hay forma de conversar en privado con otras personas. Muchas personas conversan en los comentarios de preguntas o respuestas, pero Brainly es un sitio web educativo y le recomendaría que use Brainly solo con fines educativos.

¡Espero que esto te ayude! Que tengas un buen día.

Answer:

im pretty sure its G

Step-by-step explanation:

Answer:

It would be F. Each point of a figure will be reflected across the y-axis.

Step-by-step explanation:

If we were to test with random coordinates, like (1,-3) and (1,3), everything gets reflected over the y-axis.

Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

To find the x-intercept, substitute in  0  for  y yand solve for  x . To find the y-intercept, substitute in  0  for  x and solve for  y .

x-intercept(s):  ( 6 , 0 )

y-intercept(s):  ( 0 , − 2 )

Use the slope-intercept form  y = m x + b to find the slope  m and y-intercept  b .

Slope: \(\frac{1}{3}\)

graph in pic

(Credit: M a t h w a y)

Answer:

maria ran 3 miles 3 days a week for 3 weeks

so number of miles she ran in total will be;

3x3x3 that is 27 miles, exponential form is 3^3

Answer:

715000

Step-by-step explanation:

1300000 • 55%,

55% = 0.55

1300000 • 0.55 = 715000

Answer:

10π in.

Step-by-step explanation:

circumference of a circle = 2πr

=2*π*5

=10π in.

Answer:

x = 49

Step-by-step explanation:

The sum of angles is 360

(x + 84) + 80 + 3x = 360

x + 3x = 360 - 84 - 80

4x = 196

x = 196/4 = 49

Answer:

base = 19.1 km

Step-by-step explanation:

start with formula:

A = bh/2

plug in what's known:

114.6 = 12b/2

114.6 = 6b

b = 114.6/6

b = 19.1