How far will the snail be from the rock after 9 minutes?

Answer data gathering

The amount of material needed = the surface area of the cylindrical can which is approximately calculated as: 332 square centimeters.

The material used = surface area of cylindrical can = 2πr(h + r).

Given the dimensions of the cylindrical can, we have:

radius (r) = 7/2 = 3.5 cm

height of cylindrical can (h) = 11.6 cm

π = 3.14

Amount of tin used = surface area = 2 * 3.14 * 3.5 * (11.6 + 3.5)

≈ 332 square centimeters

Learn more about the surface area on:

https://brainly.com/question/28776132

#SPJ1

The original recipe had 0.9 cups of bananas.

Using only fresh ingredients, strawberry banana smoothie is a simple, nutritious dish. It is creamy, sweet, nutritious, and dairy- or dairy-free can be used to make it. The ideal summertime smoothie. Putting the strawberries, frozen banana, milk, and yoghurt in a blender and mixing until smooth and creamy is all that is required to make it.

Cups of strawberries = 1.75

No. of cups added of banana = 1/2

                                            = 0.5

No. of cups of banana smoothie have = 14.

The original recipe had = 1.4 - 0.5

                                   = 0.9

Hence, the original recipe had 0.9 cups of bananas.

Correct Question :

to make a strawberry banana smoothie, a recipe calls for 1.75 cups of strawberries and some bananas. to make the recipe taste more like banana, 1/2 cup more banana was added to the blender. the smoothie now has 1.4 cups of bananas. how many cups of bananas were in the original recipe?

To learn more about cups here:

https://brainly.com/question/18443055

#SPJ4

The correct format of the question is

If f(x)= \(\frac{1}{3}x^3 -4x^2+12x -5\) and the domain is the set of all x such that 0≤x≤9 , then the absolute maximum value of the function f occurs when x is

Answer:

The absolute maximum value of the function F(x) occurs when x is 9

Step-by-step explanation:

F'(x) = \(x^2 -8x +12= 0\)

      = (x-6)(x-2) = 0

      x = 2,6

so we have boundary points 0 , 9 and 2,6

The value of function at these four points

  x =     0    2       6     9

F(x) =  -5    17/3   -5     22

So the absolute maximum value of the given function is x = 9 and F(x) is 22.

The absolute maximum value of the function f occurs when x is 9 and this can be determined by differentiating f(x) and then equating it to zero.

Given :

In order to determine the absolute maximum value of function f(x), differentiate f(x) and then equate it to zero.

\(\rm f'(x)=\dfrac{1}{3}\times(3x^2)-8x+12\)

Now, equate the above equation to zero.

\(x^2-8x+12 = 0\)

Factorize the above quadratic equation.

\(x^2-6x-2x+12=0\)

x(x - 6) - 2(x - 6) = 0

(x - 6)(x - 2) = 0

Now, determine the value of f(x) at x = 0, 2, 6, 9

f(0) = -5

f(2) = 1/3.(8) - 4(4) + 12(2) - 5

f(2) = 17/3

f(6) = 72 - 144 + 72 - 5

f(6) = -5

f(9) = 243 - 324 + 108 - 5

f(9) = 22

So, the absolute maximum value of the function f occurs when x is 9.

For more information, refer to the link given below:

https://brainly.com/question/24898810

The radius of curvature (r) is -100 cm and Magnification (m) is 11.26. The mirror is a concave mirror.

Given Data: Object distance, u = -1.03 cm; Image distance, v = 11.6 cm

To find: The radius of curvature (r) and Magnification (m).

Formula used:

1/f = 1/v - 1/u;

Magnification, m = -v/u

Calculation:

Using the formula,

1/f = 1/v - 1/u

1/f = 1/11.6 - 1/-1.03 = -0.02

f = -50 cm

The radius of curvature,

r = 2f

r = 2 × (-50) = -100 cm

Since the radius of curvature is negative, the mirror is a concave mirror.

Magnification, m = -v/u= -11.6/-1.03= 11.26

Hence, the radius of curvature (r) is -100 cm and Magnification (m) is 11.26.

Learn more about magnification visit:

brainly.com/question/21370207

#SPJ11

Answer:

11

Step-by-step explanation:

An exponential has the base at the bottom or top

Answer:

Step 1 - Find Whole Number

Calculate out how many times the denominator goes into the numerator. To do that, divide 385 by 6 and keep only what is to the left of the decimal point:

385 / 6 = 64.1667 = 64

Step 2 - Find New Numerator

Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.

385 - (6 x 64) = 1

Step 3 - Get Solution

Keep the original denominator and use the answers from Step 1 and Step 2 to get the answer. 385/6 as a mixed number is:

64 1

     ___

       6

Step-by-step explanation:

Answer:

684

Step-by-step explanation:

Trust

Answer:165degrees

Step-by-step explanation

Use formula N-2 × 180 N is the number of sides

24-2=22

22x180=3960 total

for each angle divide total by 24=165 degrees

1. The height of the cone is equal to

2. You can solve for the slant height, s by applying Pythagorean's theorem.

3. To get from the base of the cone to the top of the hill, an ant has to crawl 29 mm.

In Mathematics and Geometry, the volume of a cone can be calculated by using this formula:

Volume of cone, V = 1/3 × πr²h

Where:

By substituting the given parameters into the formula for the volume of a cone, we have the following;

8792 =  1/3 × 3.14 × 20² × h

26,376 =  3.14 × 400 × h

Height, h = 26,376/1,256

Height, h = 21 mm.

Question 2.

In order to solve for the slant height, s, we would have to apply Pythagorean's theorem since the height of the cone has been calculated above.

Question 3.

By applying Pythagorean's theorem, we have the following:

r² + h² = s²

20² + 21² = s²

400 + 441 = s²

s² = 841

Slant height, s = √841

Slant height, s = 29 mm.

Read more on cone here: https://brainly.com/question/27604827

#SPJ1

Answer: $66.20; close

Step-by-step explanation:

The down arrow indicates the stock price has decreased from yesterday’s price of $ 66.20  at the close of the market day.

Answer:

31 and 37

Step-by-step explanation:

Those are the only two numbers

Answer:

The two numbers between 30 and 40 which have only 2 factors are -

31 and 37

Hope it helps you.

Answer:

i don't know this one!

Step-by-step explanation:

sorry!

The attached graph describes the relationship between the amount of money raised and the number of students who attend the dance

The parameters that will help us to determine the graph are

Decorations for the dance cost $80,

The club is charging $10 per student that attends

This forms a linear equation:

y = mx + b

y = 10x - 80

Plotting the graph:

That is the full solution of the equation

Learn more about the graphs on https://brainly.com/question/17267403

#SPJ1

The product of (4 x 10⁶) ×  (2 x 10⁶) is 8 × 10⁶.

Scientific notation is similar to shorthand for writing extremely large or extremely small numbers. Rather than writing a number in decimal form, it is reduced to a number multiplied by ten.

Now, as per the given question;

The product of the given two number are-

= (4 x 10⁶) ×  (2 x 10⁶)

= 8 × 10⁶

Therefore, the scientific notation of the product of the give two numbers is 8 × 10⁶.

To know more about scientific notation, here

https://brainly.com/question/1767229

#SPJ4

The correct question is-

Find the product of (4 x 10⁶) and (2 x 10⁶). write the final answer in scientific notation. write the final answer in scientific notation.

Answer:

2^(3/7)

Step-by-step explanation:

For these types of questions, what is inside the root is the numerator, and what is on top is the denominator.

3 is in the root, so it is the numerator

7 is outside the root, so it is the denominator

Therefore, The answer is 2^(3/7)

The person can get 3 fives, 2 sixes, and 1 two in 336 ways.

To find the number of ways to roll 3 fives, 2 sixes, and 1 two in 6 rolls of a standard six-sided die, we can use the formula for combinations with repetition:

\(C(n + k - 1, k) = C(6 + 3 - 1, 3) * C(3 + 2 - 1, 2) * C(1 + 1 - 1, 1)\)

where n is the number of possible outcomes (in this case, 6), k is the number of choices to make (in this case, 3 for fives, 2 for sixes, and 1 for twos), and C(n + k - 1, k) represents the number of combinations with repetition.

Using this formula, we can calculate:

\(C(8, 3) * C(4, 2) * C(1, 1) = 56 * 6 * 1 = 336\)

Therefore, there are 336 ways to roll 3 fives, 2 sixes, and 1 two in 6 rolls of a standard six-sided die.

You can learn more about combination at

https://brainly.com/question/28065038

#SPJ11

In triangle JKL the measurement of line segment KJ is obtained as 22 units.

What are triangles?

Triangles are a particular sort of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure shown here. An example of a 3-sided polygon is a triangle. The total of a triangle's three angles equals 180 degrees. One plane completely encloses the triangle.

Two triangles - ΔJKL and ΔPQR is given.

It is given that both the triangles are similar.

In ΔJKL, the ∠LJK = 35° and in ΔPQR, the ∠RPQ = 35°.

In ΔJKL, the measurement of line segment LJ is = 28 units

In ΔJKL, the measurement of line segment KJ is = x units

In ΔPQR, the measurement of line segment RP is = 42 units

In ΔPQR, the measurement of line segment QP is = 33 units

To find the value of x use the method of indirect measurement.

According to the rule of indirect measurement -

LJ/RP = KJ/33

Substituting the values into the equation -

28 / 42 = x / 33

28 × 33 = 42x

x = (28 × 33) / 42

x = 924 / 42

x = 22 units

Therefore, the measurement of x is 22 units.

To learn more about triangles from the given link

https://brainly.com/question/25215131

#SPJ1

Option 234 cm is the correct option.

The measurement equivalent to 2.34 meters is: 234 cm

To convert meters to centimeters,

you multiply the number of meters by

100.

So, 2.34 meters multiplied by 100 is equal to 234 centimeters.

An object is only identified or classified using numbers on a nominal scale, which is a measuring scale. Only non-numeric (quantitative) factors or situations where numbers have no meaning are often addressed by this assessment.

By increasing the number of metres by 100, one may convert measurements from metres to centimetres. One metre equals one hundred centimetres, or 1 m = 100 cm, as is common knowledge.

Cm is used to represent it in writing. It may also be described as the unit of length in the current metric system, the International System of Units (SI). It is equal to one hundredth of a metre.

For such more question on measurement

https://brainly.com/question/28012687

#SPJ4

Answer:

Step-by-step explanation:

PART A. Graph the linear equation

- Look at the Graph below as an attachment

PART B. Interpret the slope and the y-intercept

- The slope-intercept form in the linear equation is: y=mx+b

Solve

y=mx+b

y=-15x+375

slope=-15

y-intercept=375

Hope this helps!! :)

Please let me know if you have any questions

Answer:

20

Step-by-step explanation:

since the sign is pointing to the "greater number"

any number over 13 is fine

The value of x can be 14, 15, .... and so on.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

For example, In the 12U Softball division, Olivia gets chosen. What is Olivia's age? Olivia's age is unknown to you because the word "equals" is missing. However, since you are aware that she should be under or equal to 12, you can write  Olivia's Age ≤ 12. This is a real-world example of an inequality.

Given:

13< x

So, we have to choose the value which are greater than 13.

The value of x cannot be 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13.

Thus, the value of x can be satisfies by 14, 15, .... and so on.

Learn more about Inequality here:

https://brainly.com/question/28823603

#SPJ2

1.The simplified expression is ∛\(x^5\).

2.The simplified expression is ∛\(2^(1/12)\).

3.The simplified expression is 81y^8z^20.

4.The simplified expression is 200x^5y^18

1. (∜x^3)*(√x)

Using the property of fractional exponents, we can rewrite the expression as:

(x^(3/4)) * (x^(1/2))

Applying the law of raising powers, we can multiply the two terms:

x^((3/4) + (1/2))

Simplifying the exponents:

x^(3/4 + 2/4)

x^(5/4)

Therefore, the simplified expression is ∛x^5.

2. ∛2 ÷ ∜2

Using fractional exponents, we can express the expression as:

2^(1/3) ÷ 2^(1/4)

Applying the law of raising powers, we can subtract the exponents:

2^((1/3) - (1/4))

Simplifying the exponents:

2^((4/12) - (3/12))

2^(1/12)

Therefore, the simplified expression is ∛2^(1/12).

3. ((3y^2)z^5)^4

Using the law of raising powers, we can apply the exponent to each term inside the parentheses:

(3^4)(y^(2*4))(z^(5*4))

Simplifying:

81y^8z^20

Therefore, the simplified expression is 81y^8z^20.

4. ((5xy^3)^2) * ((2xy^4)^3)

Using the law of raising powers, we can apply the exponent to each term inside the parentheses:

(5^2)(x^2)(y^(3*2)) * (2^3)(x^3)(y^(4*3))

Simplifying:

25x^2y^6 * 8x^3y^12

Multiplying the coefficients and combining like terms:

200x^5y^18

Therefore, the simplified expression is 200x^5y^18.

For more such questions on expression

https://brainly.com/question/30350742

#SPJ8

Answer:

it should be the negative repirocal of -2 so 1/2

Answer:

mPerpendicular= 1/2

Step-by-step explanation:

The child passes through 18π radians in the course of the carousel ride.

To determine the number of radians the child passes during the 6-minute ride on the carousel, we need to know the distance traveled in terms of radians.

Since there are 20 horses spaced evenly around the carousel, each horse is separated by an angle of 360/20 = 18 degrees or π/10 radians.

Therefore, during one rotation of the carousel, the child passes through 20π/10 = 2π radians. And since the carousel completes one rotation every 40 seconds, the angular velocity is 2π/40 = π/20 radians per second.

To find the total distance traveled in radians during a 6-minute ride, we need to multiply the angular velocity by the time elapsed.

6 minutes is equal to 360 seconds,

so the child passes through π/20 x 360 = 18π radians during the ride.

To learn more about : radians

https://brainly.com/question/29058626

#SPJ8

Answer:

Solve using the supplement of the angles.

Step-by-step explanation:

For the first page, you should use the supplement of the angles. This means, on a straight line, you can subtract the known angle from 180 degrees to find the missing angle. The top angle, for example, will be 180 - 46 resulting in the interior angle being 134 degrees.

You can do this until you find all of the known interior angles, then using the sum of interior angles and the current known interior angles you can find the last known interior angle. If they are asking you to solve for an exterior angle, you can once again subtract the known interior angle from 180 degrees to find the exterior angle.

For the second page, you can refer to exterior angles again. Knowing that all exterior angles add to 360 degrees, and since we are given all of them, we can set the sum of the exterior angles to 360 degrees.

9x + 4x + (5x + 10) + (5x + 25) = 360

Simplify.

23x = 325.

Solve for x.

The correct answers are: 1. Z-scores are useful because they provide a standardized way of indicating how unusual an observation is. 2. The standard deviation is a natural ruler for comparing values to the mean. 3. Z-scores and the standard deviation are applicable to both symmetric and skewed distributions.

These answers accurately describe the benefits of using Z-scores and the standard deviation in statistical analysis. Z-scores allow us to determine how many standard deviations away from the mean a particular observation is, providing a measure of how unusual or extreme that observation is compared to the rest of the data set.

The standard deviation serves as a measure of dispersion, representing the average amount by which data points vary from the mean. It provides a useful reference point for comparing individual values to the mean. Additionally, both Z-scores and the standard deviation can be applied to distributions with varying shapes, including both symmetric and skewed distributions.

Learn more about standard deviation here:

https://brainly.com/question/13498201

#SPJ11

Select all of the answers that apply. Z-scores are useful because it is a standardized way of saying how unusual an observation is ZZZZZzzzzzzzzzzz <snore snore> WAKE UP you're almost done. the standard deviation is a natural ruler for comparing values to the mean they are applicable to both symmetric and skewed distributions.

Answer:

n=63°

Step-by-step explanation:

the angle around the point needs to add up to 360°

360°-297°=63°

Answer:

63

Step-by-step explanation:

When you have questions like this you get 360 and subtract 297 and get 63. 360-297=63