find the average rate of change, in simplest form,
of the function over the interval 3 ≤ x ≤ 5

Answer:

1.434 miles

Step-by-step explanation:

if 1.5 miles isnt an option select 1 mile

The area of the walkway is 24π square meters.

To find the area of the walkway, we need to subtract the area of the inner circle from the area of the outer circle.

The inner circle has a radius of 5 meters, so its area can be calculated using the formula for the area of a circle: A_inner = π * \((r_inner)^{2}\).

A_inner = π * \(5^{2}\) = 25π square meters.

The outer circle has a radius equal to the sum of the inner radius and the width of the walkway. In this case, the outer radius is 5 + 2 = 7 meters.

The area of the outer circle can be calculated in the same way: A_outer = π * \((r_outer)^{2}\).

A_outer = π * \(7^{2}\) = 49π square meters.

Now, we can find the area of the walkway by subtracting the area of the inner circle from the area of the outer circle: A_walkway = A_outer - A_inner.

A_walkway = 49π - 25π = 24π square meters.

The area of the walkway is 24π square meters, where π (pi) is a mathematical constant approximately equal to 3.14159.

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Answer:

2x + 18 ≥ 21

x ≥ 2/3

Step-by-step explanation:

Let sum be X

2 times the sum means 2x

the sum of a number and 18 means x + 18

at least -21 means ≥ 21

put them together, and you get, 2x + 18 ≥ 21

If solving for x,

2x + 18 ≥ 21

2x ≥ 3

x ≥ 2/3

Answer:

(B) 36 units²

Step-by-step explanation:

The surface area of a sphere with radius 3 is 36π units², or approximately 113.1 units²

The formula for the surface area of a sphere is 4πr², where r is the radius of the sphere. Plugging in a radius of 3 into this formula gives us 4π(3)² = 36π units²

Answer:

B. 36π units²

Step-by-step explanation:

SA = 4πr²

SA = 4 × π × 3²

SA = 36π units²

Answer:

10

I got it wrong twice and this is right

Step-by-step explanation:

Vertical opposite angles

Construction is a process in which required steps are considered to draw a given shape by the use of construction instruments and materials. Thus to correct the error in the given question, the third arc should be drawn centered at point F. Answer is option A.

Majorly, the use of a straight edge and a pair of compasses to draw the image of a given object is referred to as construction. Which required adhering to some steps.

The construction of a parallel line through a given point to a given line involves following the appropriate procedure. If not, an error would be committed which would result in an inappropriate shape or figure.

Therefore, to fix the error in the given question, it is important that the third arc should be drawn centered at point F. Thus, the correct answer is option A.

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The proper phases for all species within the reaction. {HClO}_{4}({aq})+{CsOH}({ aqueous perchloric acid (HClO4) reacts with aqueous cesium hydroxide (CsOH) to produce aqueous cesium perchlorate (CsClO4) and liquid water (H2O).

To balance the neutralization equation for the reaction between perchloric acid (HClO4) and cesium hydroxide (CsOH), we need to ensure that the number of atoms of each element is equal on both sides of the equation.

The balanced neutralization equation is as follows:

HClO4(aq) + CsOH(aq) → CsClO4(aq) + H2O(l)

In this equation, aqueous perchloric acid (HClO4) reacts with aqueous cesium hydroxide (CsOH) to produce aqueous cesium perchlorate (CsClO4) and liquid water (H2O).

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Answer:

$12.5

Step-by-step explanation:

Since there is a 50% chance of landing on an odd number, the expected payoff is 0.5*25=12.5. Hope this helps!

The bearing of Manchester from Cambridge is 270⁰.

Bearing refers to the direction or angle between two points, usually measured in degrees, that indicates the horizontal angle between a reference point or line and a target point or object.

Bearing is typically expressed as an angle measured clockwise from north, which is known as "true north" or "geographic north".

The bearing of Manchester from Cambridge is the angle made by the plane from Cambridge back to Manchester.

From the diagram the bearing of Manchester from Cambridge is 270⁰.

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The option that best shows "x ≤ 2" is the one where x is less than or equal to 2.

This means that x can be any number that is smaller than or equal to 2, including 2 itself. The symbol "≤" represents "less than or equal to," and it is used to indicate that the value on the left-hand side of the inequality is not greater than the value on the right-hand side.

In this case, x is not greater than 2, and therefore, it is either less than or equal to 2.

This inequality can be represented on a number line by shading the area to the left of 2, including the point 2 itself.

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Answer:

Option D.

Step-by-step explanation:

The given points are (-2,0), (0,1), (0,-4) and (3,0).

In each ordered pair first element is x-coordinate and second is y-coordinate.

For 4 points, the table must have 2 columns and 4 rows.

So, the required table of values is

x         y

-2        0

0       -4

0        1

3        0

Therefore, the correct option is D.

Answer:

for 6 its 9/2,

for 9 its 15

and for 11 its 28

Step-by-step explanation:

Answer:

6. 9/2

9. 15 people can expect a free ticket

11. Jayce sold 28 candy bars

Step-by-step explanation:

6. To find the numerator you have to divide 12 by 2 to get six then divide 54 by six to get 9

9. divide 100 by 20 to get 5 the multiply 3 by 5 to get 15 and that's how many people would get a ticket

11. divide 210 by 84 to get 2.5 then divide 70 by 2.5 to get 28 and that's how many candy bars he sold

Parimal should expect at least 10 bicyclists on the path if the temperature is 0°C. According to the line of best fit equation y = 8x + 15, substituting x = 0 gives y = 8(0) + 15 = 15, indicating that the predicted number of bicyclists is 15. Since 15 is greater than 10, Parimal can expect at least 10 bicyclists on the path.

The line of best fit equation y = 8x + 15 represents the relationship between temperature (x) and the number of bicyclists (y) on the path. In this equation, the coefficient of x is 8, indicating that for every 1-degree increase in temperature, the number of bicyclists is expected to increase by 8.

To determine if Parimal should expect at least 10 bicyclists on the path when the temperature is 0°C, we substitute x = 0 into the equation. This gives y = 8(0) + 15 = 15, which means that the predicted number of bicyclists is 15.

Since 15 is greater than 10, Parimal should expect at least 10 bicyclists on the path if the temperature is 0°C. The line of best fit suggests that as the temperature increases, the number of bicyclists also increases. In this case, the model predicts that even at 0°C, there should be a significant number of bicyclists (15 in this case) on the path.

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Answer:

Quadratic formula – is the method that is used most often for solving a quadratic equation. If you are using factoring or the quadratic formula, make sure that the equation is in standard form.

There are three basic methods for solving quadratic equations: factoring, using the quadratic formula, and completing the square.

Step-by-step explanation:

The height of the sun flower after w weeks is 25 + 3w inches and the height of flower after 9 weeks is 52 inches.

At the beginning of spring, Sophia planted a small sunflower in her backyard. When it was first planted, the sunflower was 25 inches tall.

The sunflower then began to grow at a rate of 3 inches per week.

The height of the flowers after w weeks can be calculated using the equation below:

height of flower after w weeks = 25 + 3w

The height of the flower after 9 weeks can be calculated as follows:

height of flower after 9 weeks = 25 + 3(9)

height of flower after 9 weeks = 25 + 27

height of flower after 9 weeks = 52 inches

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Answer:

x=110.6

Step-by-step explanation:

sin(19)=36/x. x=36/sin(19)=110.6

Answer:

89

Step-by-step explanation:

Given that,

During a promotional weekend, a state fair gives a free admission to every 179th person that enters the fair.

No of people attending the fair on Saturday is 8,633 amd No of people attending the fair on Sunday is 7,400.

We need to find the no of people that received a free admission over the two days.

Dividing 8,633 by 179 gives 48 as quotient and 41 as remainder. It means on Saturday 48 people entered for free.

Dividing 7,400 by 179 gives 41 as quotient and 61 as remainder. It means on Sunday 41 people entered for free.

Total no of people,

T = 48 + 41

T = 89

Hence, there are 89 people for free entries.

Answer:

(a) False

(b) False

(c) True

Step-by-step explanation:

(a) If we had measured the heights of the men and women in centimeters (1 inch= 2.54 cm), the correlation coefficient would have been 2.54 times larger.

No, since changing the units of measurement does not change the correlation coefficient

(b) There is a strong negative association between the heights of men and women because women are always smaller than the men they date.

Negative association means that as one variable increases, the other decreases, Here, we see that as the heights of the men increase, the height of the women do not reliably decrease, hence there is no strong negative asscoiation

(c) There is a positive association between the heights of men and women.

We see from the values given that as the heights of men increase, so do the heights of women and vise versa, so there is a positive association between the heights of men and women

Answer:

14

Step-by-step explanation:

The three conditions for a function to be continuous at a point x=a are:

a) The function is defined at x=a.

b) The limit of the function as x approaches a exists.

c) The limit of the function as x approaches a is equal to the value of the function at x=a.

The continuity of a function can be analyzed by observing its graph. However, as the graph is not provided, a specific discussion about its continuity cannot be made without further information. It is necessary to examine the behavior of the function around the point in question and determine if the three conditions for continuity are satisfied.

The function f(x) = { *** is not defined in the question. In order to discuss its continuity, the function needs to be provided or described. Without the specific form of the function, it is impossible to analyze its continuity. Different functions can exhibit different behaviors with respect to continuity, so additional information is required to determine whether or not the function is continuous at a particular point or interval.

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Answer:

5 bags of candy

Step-by-step explanation:

60/12= 5

Since there are 12 pieces of candy in each bag, 12*5= 60, so each kid can have 1 piece of candy.

Answer:

5<b

Step-by-step explanation:

Answer:

225 cm³

Step-by-step explanation:

Volume of a prism = base area × height

The volume of this prism

\( = 5 \times 5 \times 9\)

\( = 225\)

Answer:

225 cu cm ^3

Step-by-step explanation:

can i be brainliest?

A unit of measurement which is equal to one thousands meters is known as one kilometers.

Therefore, the given units of measurement equal to one thousand meters is called one - kilometers.

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To receive a score on this portion of the final assessment, students should form groups with 1 to 3 members.

The question specifies that groups of 4 members or larger will receive a zero score on this portion of the final assessment. This requirement is set by the Committee on the Status of Endang.

The purpose of this restriction may be to encourage collaboration and ensure fair evaluation by limiting the group size to a manageable number. By restricting group sizes to 1-3 members, it promotes individual and small group participation, allowing each student to actively contribute to the assessment.

The Committee on the Status of Endang likely established this rule to maintain the integrity of the assessment process and prevent potential issues that may arise from larger groups, such as unequal distribution of work, lack of participation, or excessive collaboration. By setting a maximum group size, the committee aims to ensure fairness and maintain the academic standards of the assessment.

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By Using the table to work out the values of a , b , c , and d. X y = 2 x + 1 − 3 a − 2 − 3 − 1 b 0 1 1 c 2 d a = b = c = d =

Therefore, The solutions are : a = -3, b = 0, c = 6, d = 9

Equation:

In mathematics, an equation is an expression that indicates equality of two expressions by connecting them with the equal sign = . The word "equation" and related words in other languages ​​can have slightly different meanings. For example, in French an equation is defined as containing one or more variables, whereas in English a well-formed formula consisting of two expressions connected by an equal sign is an equation.

Given:

This table;

x             y = 3x+3

-3                -6

-2                 a

-1                  b

0                 3

1                  c

2                 d

To Find:

Values of a, b, c and d

Consider the 2nd row,

x = -2, y = a

Putting the values in the equation,

we get,

   a = 3(-2) + 3

⇒ a = -3

Consider the 3rd row,

x = -1, y = b

Putting the values in the equation,

we get,

   b = 3(-1) + 3

⇒ b = 0

Consider the 5th row,

x = 1, y = c

Putting the values in the equation,

   c = 3(1) + 3

⇒ c = 6

Consider the 6th row,

x = 2, y = d

   d = 3(2) + 3

⇒ d = 9

The final answer is,

a = -3, b = 0, c = 6, d = 9.

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Given- Perimeter of square=224cm

perimeter of square = 4*side

4*side=224 cm

side= 224/4=56 cm

side= 56 cm

therefore, area of square = side*side

56*56= 3136 cm²

Answer:

3,136 square cm

Step-by-step explanation:

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

To solve for the length of each side, we can use this equation:

We know this because squares have the same length (4 equal sides). If we also know that the perimeter is the total length around the shape, we can take the total perimeter (224) and divide that by 4 to get the length of each side.

To calculate the area of a square, we can use this equation:

Inserting 56 in for the length:

Therefore, the area of a shape that has a perimeter of 224cm is 3,136 square cm.

The probability in a normal distribution is approximately 90% percent.

According to the statement

we have given that the

Probability of the more three standard deviations and we have to find the percentage  in a normal distribution.

We know that the

A normal distribution is a type of continuous probability distribution for a real-valued random variable.

So,  In the presence of a more than three standard deviations the normal distribution is about 95%.

Because in the normal distribution is 95% due to the empirical rule.

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution.

So, The probability in a normal distribution is approximately 90% percent.

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Answer:

see explanation

Step-by-step explanation:

total parts = 3 + 18 + 6 + 3 = 30

3 grams of silver = \(\frac{3}{30}\) = \(\frac{1}{10}\)

18 grams of copper = \(\frac{18}{30}\) = \(\frac{3}{5}\)

6 grams of aluminium = \(\frac{6}{30}\) = \(\frac{1}{5}\)

3 grams of zinc = \(\frac{3}{30}\) = \(\frac{1}{10}\)