A bike wheel as a radius of 13 inches. About how far does the bike wheel travel in:
a. 1 rotation?
b. 5 rotations?
c. 30 rotations?

Answer:

34

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ 1, 6 ]

f(b) = f(6) = 6³ - 9(6) = 216 - 54 = 162

f(a) = f(1) = 1³ - 9(1) = 1 - 9 = - 8, thus

average rate of change = [tex]\frac{162-(-8)}{6-1}[/tex] = [tex]\frac{170}{5}[/tex] = 34

Final answer:

The average rate of change of the function f(x) = x^3 - 9x over the interval (1,6] is 34.

Explanation:

The average rate of change of a function f(x) over an interval is calculated by taking the difference in the function values at the end points of the interval divided by the length of the interval. For the function f(x)=x^3-9x over the interval (1,6], we calculate the function values at x=1 and x=6, then find the difference, and divide by the interval length, which is 6-1=5. So f(1)=1^3-9(1)=-8 and f(6)=6^3-9(6)=216-54=162. Therefore, the average rate of change is (162-(-8))/5 = 170/5 = 34.

Answer:

1.75 or 1 3/4

Step-by-step explanation:

Answer:

1 3/4

Step-by-step explanation:

Find a common denominator for both fractions

9 1/12 - 7 4/12 = 1 9/12 = 1 3/4

Answer: 6.824%

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The rate of interest is 4% and this can be determined by using the formula of simple interest.

Given :

The formula of simple interest can be used in order to determine the rate of interest. The formula of simple interest is given by:

A = P(1 + rt)

where A is the final amount, r is the rate of interest, t is the time period in year and P is the principal amount.

Now, substitute the values of all the known terms in the above formula.

2295 = 2250(1 + 0.5r)

Simplify the above expression in order to determine the value of 'r'.

2295 = 2250 + 1125r

45 = 1125r

r = 0.04

r = 4%

The rate of interest is 4% and this can be determined by using the formula of simple interest.

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Answer:

could you explain more?

Answer:

C

Step-by-step explanation:

Slope = rise / run

in this case, rise is 17 yd and run is 295 yd.

so its 17/295

Answer:

There is 2600 combinations possible.

Step-by-step explanation:

The combinations for the first lock has 10 combinations

The combinations for the second lock has 10 combinations

The combinations for the third lock has 26 combinations

The total combinations is the product of all the locks.

There is 2600 combinations possible.

Answer:

c: line sr is a secant of circle p

Step-by-step explanation:

The true statement is (c) line SR is a secant of circle P

From the diagram, we can see that line SR passes through the circle, without passing through the center (i.e. point P) of the circle

This indicates that line SR is a secant

Given that the center of the circle is point P

Hence, the true statement is (c) line SR is a secant of circle P

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Answer:

<2, <3, <6, <7

Step-by-step explanation:

Interior angles are just angles between two transversals(p and q).

Answer:

Geometric mean: 6.8399037867068

Step-by-step explanation:

Answer:

B=7x

Step-by-step explanation:

5(x+2)+2(x-5)

5x+10+2x-10

since 10-10=0, it just won't show, there's no need to say "0"

5x+2x+10-10

7x+0

so just

7x

Answer:7x

Step-by-step explanation:

5 times x 5 times 2 = 5x + 10

2 times x 2 times -5 = 2x -10

5x +2x = 7x

10- 10= 0

Answer:

hope this helps you to understand

[tex] {10}^{2} + {7}^{2} = {c}^{2} \\ \sqrt{100 + 49} = c \\ c = \sqrt{149} [/tex]

but c=12. 12^2=144

Answer: It isnt a right triangle

Answer:

x = 19°

y = 53°

Step-by-step explanation:

First we can find the value of x, then the value of y.

For x, we can observe from the figure that x is complementary to the angle of 71°, that is, they both summed have 90°.

So, we have that:

x + 71 = 90

x = 19°

Now we can solve for y.

From the figure we have that y is supplementary to the angle (37° + 71° + x°), that is, they summed form a angle of 180°.

So we have that:

y + 37 + 71 + 19 = 180

y = 180 - 37 - 71 - 19 = 53°

The angles x and y lie on a straight line at the intersection point of two lines and are therefore supplementary. Therefore, they add up to 180 degrees. Without further information, it's impossible to find the exact values of X or Y.

Given that two lines intersect at a common point, and this point is also the end point of two rays, we create four angles around the intersecting point. Let's denote the angles formed by the intersecting lines as angle x and angle y. According to the properties of intersecting lines, adjacent angles are supplementary. Therefore, the measures of x and y add up to 180 degrees. We set up the equation as x + y = 180. Without any additional information, we cannot find the specific values of x and y. However, we can say that whatever the value of x is, y will be 180 - x, and vice versa.

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Hope this will help u....:)

Answer:

4.5 kg m/s

Step-by-step explanation:

[tex]Momentum = mass \times velocity \\ \hspace{60 pt} = 1.5 \times 3.0 \\\hspace{60 pt} = 4.5 \: kg \: m/s[/tex]

Final answer:

The momentum of a 1.5-kg ball rolling at 3.0 m/s is calculated by multiplying the mass by the velocity, resulting in 4.5 kg*m/s.

Explanation:

The momentum of an object is calculated using the formula momentum (p) = mass (m) * velocity (v). Applying this formula to the given problem, where a 1.5-kg ball is rolling at a speed of 3.0 m/s, the momentum can be found by multiplying the mass of the ball by its velocity.

So, the momentum p is given by:

p = 1.5 kg * 3.0 m/s = 4.5 kg*m/s.

Therefore, the momentum of the 1.5-kg ball rolling at 3.0 m/s is 4.5 kilogram meters per second (4.5 kg*m/s).

Answer:

73.025

Step-by-step explanation:

i just looked it up if this helps give me brainliest plz (it'll be my first)

Jillian has 73.025 centimeters of ribbon.

It is the conversion of one unit to another unit with its standard conversion.

Examples:

1 hour = 60 minutes

1 minute = 60 seconds

1 km = 1000 m

We have,

To convert inches to centimeters, we can multiply the length in inches by 2.54, since 1 inch is equivalent to 2.54 centimeters.

So, to find the length of the ribbon in centimeters, we can multiply 28.75 inches by 2.54 centimeters/inch:

= 28.75 inches x 2.54 centimeters/inch

= 73.025 centimeters

Therefore,
Jillian has 73.025 centimeters of ribbon.

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Answer:

6 x 4

24 ÷ 6

Step-by-step explanation:

6 x 4 – There are 6 boxes with 4 stars in each box. When something looks like this, it mean multiplication.

24 ÷ 6  – There are 24 stars in total. Those 24 stars are being divided by 6 boxes. In the end there are 4 stars in each box.    (So basically, 24 ÷ 6 = 4)

Answer:

should be 24

Step-by-step explanation:

x+3=27

  -3   -3       take away 3 on both sides to leave the variable by itself

x = 24

Answer: A. -17 , 19

Step-by-step explanation:

Move all terms to one side.

z^2-2z-323=0

​

​​z^2 −2z−323=0

Factor : z^2-2z-323

​​ z^2−2z−323.

(z-19)(z+17)=0(z−19)(z+17)=0

Solve for z.

z=19,−17

Answer:

Explanation:

To estimate the value, you can work with friendly numbers: numbers closed to the given numbers and with which you can perform easy mental calculations.

For example 4.55 may be rouned to 5, 4.85 may be rounded to 5, and 3.25 may be rounded to 3. That yields 5 + 5 + 3 = 13

Then, it seems you have about 13 liters. Is the final number equal or greater than 12 for sure?

To round 4.55 to 5 you increased the amount in 0.45, to round 4.85 to 5 you increased the amount by 0.15, and to round 3.25 to 3 you decreased the amount in 0.25.

What was the net change in your values: 0.45 + 0.15 - 0.25 = 0.60 - 0.25 = 0.35. Those are easy calculations that you can perform in your mind.

That means that you increased your total in less than 1 liter. Meaning that the final total is overestimated by 0.35, and that if you used the real amounts to make the calculations, the total will be still more than 12.

Answer:

[tex]m\angle WYX=46^o[/tex]

[tex]m\angle YWX=63^o[/tex]

Step-by-step explanation:

The complete question in the attached figure

we know that

A scalene triangle has three different interior angles and three different length sides

In this problem

[tex]m\angle WYX=46^o[/tex] ----> by vertical angles

[tex]m\angle WXY=71^o[/tex] ----> is given

Find the measure of the third angle ∠YWX

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

[tex]46^o+71^o+m\angle YWX=180^o[/tex]

[tex]m\angle YWX=180^o-117^o=63^o[/tex]

Verify each statement

1) [tex]m\angle WYX=46^o[/tex] ---> is true (see explanation)

2) [tex]m\angle YWX=63^o[/tex] ---> is true (see explanation)

3) [tex]m\angle WXY=46^o[/tex] ---> is not true because ∠WXY is given and is 71 degrees

4) [tex]m\angle YWX=46^o[/tex] ---> is not true because [tex]m\angle YWX=63^o[/tex]

5) [tex]m\angle WYX=134^o[/tex] --> is not true because [tex]m\angle WYX=46^o[/tex]

The question seems to contain an error - a triangle's angles cannot sum to more than 180 degrees. Assuming the triangle issue is corrected, principles like the Triangle Sum Theorem, and laws of sines and cosines would be applied to solve it.

The question refers to a diagram depicting scalene triangle WXY, which suggests a problem in geometry, a branch of mathematics. However, the information about the measure of angle ZWXY being 710 degrees seems incorrect since the sum of angles in any triangle cannot exceed 180 degrees. It appears there's a typographical error or a misunderstanding in the transcription of the problem. In a triangle, the measures of the three interior angles always add up to 180 degrees, and no single angle can measure more than 180 degrees because it would no longer be a triangle.

Without a correct diagram or clarification of the angle measures, providing a step-by-step solution to this geometric problem is not feasible. Nonetheless, if the problem was corrected and it involves solving for missing angles or sides of a scalene triangle, one could apply geometry principles and theorems such as the Triangle Sum Theorem, the Law of Sines, and the Law of Cosines depending on the given information.

The total number of pairs of vertical angles formed by five distinct lines that have a common point of intersection is: 10 pairs.

To find how many pairs of vertical angles are formed by five distinct lines that all intersect at a common point, we need to understand a few key concepts about vertical angles and intersecting lines.

[tex]\binom{n}{2} = \frac{n(n-1)}{2}[/tex]

Where [tex]n[/tex] is 5 in this case.

Calculation: Plugging in the values, we get:

[tex]\binom{5}{2} = \frac{5 \cdot 4}{2} = 10[/tex]

So, there are 10 pairs of intersecting lines.

Vertical Angle Pairs per Intersection: For each of these 10 intersections, there is exactly one pair of vertical angles.

Each intersection of two lines forms one pair of vertical angles, and with 10 intersections, we have 10 pairs of vertical angles.

The greatest number of crates that a crane with a breaking strain of 6400 kg can safely lift at one time (with the crate weight marked to the nearest 90 kg) is 71 crates.

In this problem, we need to determine the maximum number of crates a crane can lift without breaking its cable. The breaking strain of the cable can be interpreted as the maximum weight, or load, the cable can safely support. This is given as 6400 kg. Each crate the crane is lifting is said to weigh 90 kg.

To find the maximum number of crates that can be safely lifted, we divide the breaking strain (the total load the cable can bear) by the weight of each individual crate. Therefore:

6400 kg (total load) / 90 kg (load per crate) = 71 crates

However, since we can't lift fractions of a crate, we should round down to the nearest whole number, which gives us a maximum of 71 crates that can be lifted safely without the cable breaking.

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To find the maximum number of crates that can be lifted without exceeding the cable's breaking strain of 6400 kg, divide the breaking strain by the weight of one crate (90 kg) and round down to the nearest whole number, which results in 71 crates.

To determine the greatest number of crates that a crane cable with a breaking strain of 6400 kg can lift at one time, you perform a simple division. The weight of each crate is given as 90 kg (measured to the nearest 10 kg).

To ensure safety, you take the total breaking strain of the cable and divide it by the weight of one crate:

Breaking strain of cable = 6400 kg

Number of crates = Breaking strain of cable / Weight of one crate

Number of crates = 6400 kg / 90 kg/crate

Number of crates = 71.111...

Since you cannot lift a fraction of a crate, round down to the nearest whole number.

The greatest number of crates that can be lifted without breaking the cable is 71 crates.

Answer:

5.44x 10^4

Step-by-step explanation:

hello :

2.12 x 10^4 + 3.24 x 10^4 = (2.2+3.24)10^4 = 5.44x 10^4

Final answer:

To find the acceleration, we subtract the initial velocity from the final velocity and then divide by the time. For the given values, this results in an acceleration of 0.833 m/s² for the walker.

Explanation:

The student has asked about the acceleration of a person who starts at 0 m/s and reaches 5 m/s in 6 seconds. To find acceleration, we use the formula:

acceleration = (final velocity - initial velocity) / time

Inserting the given values:

acceleration = (5 m/s - 0 m/s) / 6 s = 5/6 m/s²

Therefore, the acceleration of the walker is 0.833 m/s².

Answer:    

Similarities: same size, and same orientation  

Differences:  different location, and different points

Step-by-step explanation:

When your doing a translation, the only thing that changes is the location. For example if you for your pencil, the location changes not size.

Thank you :D

I Hope This Helps You And Stay Safe!

Answer:

1, 3, 5

Step-by-step explanation:

Let the number be n

1.Twice a number minus nine and two tenths is the same as the number plus four fifths.

Twice a number is 2n. nine and two tenth = 9.2. Therefore twice a number minus nine and two tenths = 2n - 9.2. the number plus four fifths = n + 4/5

The resulting equation is 2n-9.2 =n+4/5

2.Nine point two decreased by double a number is the same as the number added to four fifths.

Nine point two = 9.2, double a number = 2n. Therefore, Nine point two decreased by double a number is 9.2 - 2n

The resulting equation gives  9.2 - 2n = n + 4/5

3.Nine point two less than twice a number is equal to the number added to four fifths.

Nine point two = 9.2, twice a number = 2n. Therefore Nine point two less than twice a number = 2n - 9.2

The resulting equation is 2n-9.2 =n+4/5

4.Two times the difference of a number and nine and two tenths is equal to the number plus four fifths.

The difference of a number and nine and two tenths is given by n - 9.2. Therefore, Two times the difference of a number and nine and two tenths is 2(n - 9.2).

The resulting equation is 2(n - 9.2) = n + 4/5

5.Double a number decreased by nine and two tenths is the same as the sum of four fifths and the number.

Double a number decreased by nine and two tenths is 2n - 9.2

The resulting equation is 2n-9.2 =n+4/5

Answer:

1 Twice a number minus nine and two-tenths is the same as the number plus four-fifths.

3 Nine point two less than twice a number is equal to the number added to four-fifths.

5 Double a number decreased by nine and two-tenths is the same as the sum of four-fifths and the number.

Step-by-step explanation: