A bicyclist accelerates at a constant rate from a standstill to 40 km/hr in 90 sec. a) How fast is the bicyclist traveling after 55 sec? b) How far has the bicyclist traveled after 90 sec? ... km/hr. a) After 55 sec, the bicyclist is traveling (Round to two decimal places as needed.) km. b) After 90 sec, the bicyclist has traveled (Round to four decimal places as needed.)

Answer:

≈4715.56

Step-by-step explanation:

The value of the quantity after one day to the nearest hundredth will be 4715.56.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that:-

The expression for the final value will be:-

Final quantity = 5500( 0.95 )³

Final quantity = 4715.56

Therefore the value of the quantity after one day to the nearest hundredth will be 4715.56.

To know more about Expression follow

https://brainly.com/question/723406

#SPJ2

In either instance, once we've located the point of rotation, we can test it triangle by seeing if rotating any point in A'B'C' by 90 degrees around this point gives us the matching point in A"B"C".

A triangle is a polygon because it has four or more sections. It features a simple rectangular shape. A triangle ABC is a rectangle with the edges A, B, and C. When the sides are not collinear, Euclidean geometry produces a single planar and cube. A square is a rectangle if it has three functions and three angles. The corners are the points where the three edges of a triangle meet. The sides of a triangle sum up to 360 °.

Triangle A'B'C' denotes the reflection of triangle ABC across the line y = x. The point is obtained by reflecting a point (x,y) across the line y = x. (y,x). As a result, by swapping the x and y coordinates of A, B, and C, the coordinates of A', B', and C' may be determined.

Consider the 90-degree rotation of triangle A'B'C' around an unknown point.

In either instance, once we've located the point of rotation, we can test it by seeing if rotating any point in A'B'C' by 90 degrees around this point gives us the matching point in A"B"C".

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ1

Answer:35

Step-by-step explanation:

The volume of a cylinder is calculated by multiplying the area of its base by its height. The formula for the volume of a cylinder is V = πr²h, where r is the radius of the base and h is the height.

The volume of a cone is calculated by multiplying the area of its base by its height and then dividing by 3. The formula for the volume of a cone is V = (1/3)πr²h, where r is the radius of the base and h is the height.

Since Sonequa’s two containers have equal radii and equal heights, it can be concluded that the volume of the cylinder is three times the volume of the cone. This means that if Sonequa fills the cone with water and pours it into the cylinder, she will need to repeat this process three times to fill the cylinder completely.

So, the claim that is most likely to be supported using the result of Sonequa’s investigation is: “The volume of a cylinder with the same radius and height as a cone is three times greater than the volume of the cone.”

Answer:

b

Step-by-step explanation:

The ratios that could be the lengths of the two legs in a 30-60-90 triangle are √3:3 (option E) and 12√3 (option D).

In a 30-60-90 triangle, the angles are in the ratio of 1:2:3. The sides of this triangle are in a specific ratio that is consistent for all triangles with these angles. Let's analyze the given options to determine which ones could be the ratio between the lengths of the two legs.

A. √2:√2

The ratio √2:√2 simplifies to 1:1, which is not the correct ratio for a 30-60-90 triangle. Therefore, option A is not applicable.

B. 15

This is a specific value and not a ratio. Therefore, option B is not applicable.

C. √√√√5

The expression √√√√5 is not a well-defined mathematical operation. Therefore, option C is not applicable.

D. 12√3

This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which simplifies to √3:3. Therefore, option D is applicable.

E. √3:3

This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which is equivalent to √3:3. Therefore, option E is applicable.

F. √2:√5

This ratio does not match the ratio of the sides in a 30-60-90 triangle. Therefore, option F is not applicable. So, the correct option is D. 1 √2.

For more such questions on lengths

https://brainly.com/question/28322552

#SPJ8

The coordinates of m with respect to the basis b are  x = [x1 x2 x3]T = [−7/3 −1/3 −1/2]T

To find the coordinates of m = [5 −8 01] with respect to this basis, we must first write the basis elements as matrices.

Therefore, we have b = {[−1 −3 0],[0 −1 1],[0 0 −2]}

The given matrix is  m = [5 −8 01]

To obtain the coordinates of m with respect to the basis b, we perform the following steps. In this context, we are trying to represent the given matrix in terms of the basis matrices.

As a result, we have to utilize the solution for the linear system that is formed by combining the basis matrices and the given matrix.

We set up a linear system of equations with the basis matrices as coefficients and the given matrix as a constant vector.

In this case, we have [b1 b2 b3][x1 x2 x3]T = m

This can be expressed in the following matrix equation form.

[−1 −3 0 0 −1 1 0 0 −2][x1 x2 x3]T = [5 −8 01]

Rearranging the equation, we have

−x1 − 3x2 + 5 = 0

− x2 − 8x3 − 8 = 0

x2 + x3 = 1 − 2x3 = 0

Solving the system of equations, we get

x1 = −7/3

x2 = −1/3

x3 = −1/2

Thus, the coordinates of m with respect to the basis b are  x = [x1 x2 x3]T = [−7/3 −1/3 −1/2]T

Know more about the coordinates

https://brainly.com/question/31293074

#SPJ11

The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.

The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.

In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Learn more about hypothesis on:

brainly.com/question/15980493

#SPJ12

Answer:

26,37,50

Step-by-step explanation:

Answer:

26,37,50

Step-by-step explanation:

ok so if you look at it you will see there is a pattern and it is going by odd numbers so from 2 to 5 it adds 3 from 5 to 10 it adds five from 10 to 17 it adds 7 so from there 17 to 26 is 9 from 2 to 37 is 11 from 37 to 50 is 13.

Answer:

x=24-1

x=9+1

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

Multiply base with height

Answer:

20 square inches

Step-by-step explanation:

the formula is

\(a = bh\)

Multiply the base and height

10 x 2 = 20

D. The energy used is the same for both segments, the power while running is greater.

Walking and running both require energy, but the distance covered and the time taken are different. In this case, the person covers the same distance of 1 km in both segments.

Therefore, the energy used is the same for both. However, since running involves covering the same distance in less time, the power while running is greater. Power is the rate at which energy is used, and since running takes less time, the power output is higher.

D. The energy used is the same for both segments, the power while running is greater.

To know more about Energy click here.

brainly.com/question/1932868

#SPJ11

Answer:

no

Step-by-step explanation:

no because there is 2 fours in x

The extrema of the function f(x, y) = 2cos(x\(^2\) - y\(^2\)) subject to x\(^2\) + y\(^2\) = 1 are as follows: Maximum = 2, Minimum = DNE.

To find the extrema of the function f(x, y) = 2cos (x\(^2\) - y\(^2\)) subject to x\(^2\) + y\(^2\) = 1, we can use the method of Lagrange multipliers. First, let's define the Lagrangian function L(x, y, λ) as follows:

L(x, y, λ) = 2cos(x\(^2\) - y\(^2\)) - λ(x\(^2\) + y\(^2\) - 1)

Now, let's find the critical points by taking partial derivatives and setting them to zero:

∂L/∂x = -4xsin(x\(^2\) - y\(^2\)) - 2λx = 0

∂L/∂y = 4ysin(x\(^2\) - y\(^2\)) - 2λy = 0

∂L/∂λ = x\(^2\) + y\(^2\) - 1 = 0

Solving these equations simultaneously, we can find the critical points. However, in this case, it is not possible to find a closed-form solution for the extrema. Therefore, the minimum or maximum does not exist (DNE).

Hence, the answer for the minimum is DNE.

Learn more about  function

brainly.com/question/30721594

#SPJ11

Answer:

1

Step-by-step explanation:

m=2

3m²- 2m- 7

3(2)² -2(2) -7

3(4)- 4- 7

12- 4- 7= 1

To calculate this, you need to first convert centimeters to meters by dividing it by 100. 5.019 feet is equivalent to approximately 5 feet and 1 inch. This means that 153 cm is equal to 5 feet and 1 inch.

One meter is equivalent to 100 cm, so we can first convert 153 cm to meters by dividing it by 100: 153 cm / 100 = 1.53 m.

Next, we know that 1 m is equivalent to approximately 3.28084 feet. So, to convert 1.53 m to feet, we multiply it by the conversion factor: 1.53 m * 3.28084 feet/m = 5 feet 0.473 inches.

Therefore, 153 cm is equivalent to approximately 5 feet 0.473 inches.

Here you can learn more about cm to meters

https://brainly.com/question/16188715#

#SPJ11

Answer:

1/9

Step-by-step explanation:

Sum = 4: (1,3) (2,2) (3,1)

Sum = 12: (6,6)

4/36 = 1/9 or 0.111

hope that helps

Conservation of number, which is the understanding that the quantity of an object remains the same even if its appearance or arrangement changes.

Four-year-old Dimitri has not acquired the concept of conservation.

Conservation refers to the understanding that certain properties of objects, such as quantity, remain the same even when their appearance changes, as long as nothing is added or removed.

In this case,

Dimitri incorrectly believes that increasing the spacing between nickels in one row results in more nickels, failing to understand that the quantity remains the same.

For similar question on appearance.

https://brainly.com/question/28998583

#SPJ11

There are 30240 ways to arrange the word ATTENTION.

The term permutation refers to the distinct arrangements that we could have. Let us recall that if we are talking about permutation, we are mutation has to do with the number of the taking about the kind of arrangement where the order of the arrangement is important.

Now we know that we have to work with the word ATTENTION. The number of the letters that are repeated in this word are T(3) and N(2). There are 9 letters in total.

We have;

9!/3! 2!

= 9 * 8 * 7 * 6 * 5 * 4 * 3!/3! 2!

= 30240 ways.

Learn more about permutation:https://brainly.com/question/3867157

#SPJ1

Answer:

1/4

Step-by-step explanation:

Answer:6/20

Step-by-step explanation:

Answer:

a and b are examples of a vertical pair.

Step-by-step explanation:

Vertical pairs are equal to each other with the same degrees.

If A=[-9,0,3,-1] b=[0,4,-6,2] , so the order of matrix A+B is 4x1(4 rows and 1 column).

Matrix, a set of number arranged in rows and column so as to form a rectangular array. The number are called the elements, or entries, of the matrix .

Both data and mathematical equations can be represented by the numbers in a matrix. Multiplying matrices can provide quick but accurate approximations of considerably more complex calculations in many time-sensitive engineering applications.

The elements of the matrix are nothing but the entries of the matrix.

So according, To the question we are adding matrix A which is 4 rows and 1 column to matrix B which is also of 4 rows and one column obtaining a third matrix that has also 4 rows and 1 column :

 [-9,0,3,-1]+[0,4,-6,2]=[-9,4,-3,1]

The resultant A+B is also of 4 rows and 1 column

Hence the order of matrix A+B is 4x1 (4 rows and 1 column)

Learn more about representation of matrix here:

https://brainly.com/question/13594851

#SPJ10

Answer:

A is yes, but the rest is no

Step-by-step explanation:

Answer:

(-3, 4)

Step-by-step explanation:

let the point P(x, y)

x = (5/7 × (-1+8)) + (-8)

= (5/7 × 7) -8 = 5-8 = -3

y = (5/7 × (8+6)) + (-6)

= (5/7 × 14) -6 = 10-6 = 4

so, P => (-3 , 4)

\(\\ \rm\Rrightarrow M(x,y)\)

\(\\ \rm\Rrightarrow\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)\)

\(\\ \rm\Rrightarrow\left(\dfrac{-5-16}{7},\dfrac{40-12}{7}\right)\)

\(\\ \rm\Rrightarrow\left(\dfrac{-21}{7},\dfrac{28}{7}\right)\)

\(\\ \rm\Rrightarrow(-3,4)\)

Answer:

3.9

Step-by-step explanation:

Let me know if I'm wrong, if I am I'm sorry

Answer:

x<16

Step-by-step explanation:

let x be the number

2x8>x

16>x

1. 7 log3 k + 6 log3 m − 9 log3 n simplifies to log3\((k^7m^6/n^9\)).

2.4 log3 km over n simplifies to log3\((k^4m^4/n)\).

3. log3 \(k^7m^6/n^9\) simplifies to 7 log3 k + 6 log3 m − 9 log3 n.

4. log3 42 km over 9n simplifies to log3 (2*7*km/3n).

To simplify 7 log3 k + 6 log3 m − 9 log3 n, we can use the properties of logarithms. Specifically, we know that log (a*b) = log a + log b and log (a/b) = log a - log b. Thus:

7 log3 k + 6 log3 m − 9 log3 n

= log3 k^7 + log3 m^6 - log3 n^9

= log3\((k^7m^6/n^9)\)

To simplify 4 log3 km over n, we can use the property that log a - log b = log(a/b). Thus:

4 log3 km over n

= log3\((km)^4 - log3 n\)

= log3\((k^4m^4/n)\)

To simplify log3\(k^7m^6/n^9\), we can use the property that log (a*b) = log a + log b. Thus:

log3 \(k^7m^6/n^9\)

= log3 k^7 + log3 m^6 - log3 n^9

Finally, to simplify log3 42 km over 9n, we can factor 42 into its prime factors as 2*3*7. Thus:

log3 42 km over 9n

= log3 (2*3*7*km / 3^2*n)

= log3 (2*7*km/3n)

For such more questions on log

https://brainly.com/question/30193034

#SPJ8

The first scenario described is an example of a retrospective cohort study.  The second scenario suggests a retrospective cohort study as well. The third scenario represents a cross-sectional study, where researchers conduct a survey among high school students to assess the prevalence of obesity and diabetes.

1. In the first scenario, a retrospective cohort study is conducted by tracking individuals over a 20-year period. The study begins in 1960 and collects data on cigar smoking practices. After 20 years, the participants are followed up to determine if they developed any cancers. This type of study design allows researchers to examine the long-term effects of smoking Cuban cigars.

2. The second scenario involves a retrospective cohort study as well. The objective is to study the long-term neurological effects of a discontinued anesthetic agent. The researchers identify patients who received the drug before it was discontinued and then assess the occurrence of subsequent neurological disorders. This study design allows for the examination of the relationship between exposure to the anesthetic agent and the development of neurological disorders.

3. The third scenario represents a cross-sectional study. Researchers aim to assess the prevalence of obesity and diabetes among high school students during their junior year. They conduct a survey to gather information on the students' current weight, diabetes status, and other relevant factors. A cross-sectional study provides a snapshot of the population at a specific point in time, allowing researchers to examine the prevalence of certain conditions or characteristics.

Learn more about neurological disorders here:

https://brainly.com/question/30472719

#SPJ11

Option A is correct, the experimental probability of not selecting a diamond is 82.5%.

It is a branch of mathematics that deals with the occurrence of a random event.

The total number of cards drawn is 40, and the frequency of diamonds drawn is 7.

This means that the frequency of not selecting a diamond is:

40 - 7 = 33

So the experimental probability of not selecting a diamond is:

P(not diamond) = frequency of not selecting a diamond / total number of cards drawn

P(not diamond) = 33/40

P(not diamond) = 0.825

P(not diamond) = 82.5%

Therefore, the experimental probability of not selecting a diamond is 82.5%.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ1

We can represent 4 integers as a difference of two distinct members i.e.    {1, -1, 2, -2}.

What are Integers ?

The collection of positive and negative integers is known as an integer. Integers, like whole numbers, do not include the fractional portion. Integers can therefore be defined as numbers that can be positive, negative, or zero but not as fractions.

Here, we have 3 distinct positive integers which are {1, 2, 3}.

We can list down the integers as a difference of the two distinct members as follows :

1 - 2 = -1

2 - 1 = 1

2 - 3 = -1

3 - 2 = 1

1 - 3 = -2

3 - 1 = 2

So, we can see clearly it is representing only 4 integers which are {1, -1, 2, -2}.

Learn more about Integers from the link given below :

https://brainly.com/question/17695139

#SPJ4

Answer: 4

Step-by-step explanation: a is three units away from o and a’ is 9 units away from o. you add 9+3 to get the total distance and divide that number by 3 to get the scale factor. 12/3=4

The scale factor for the given dilation is 3

Dilation is a transformation of an object which changes its size. if the dilated image is larger then it is called enlargement. If the dilated image is smaller it is called reduction.

If the dilation has the origin as the center of dilation, we can find points on the image formed by dilation by multiplying the coordinates of the original geometric object like triangle multiplying by the scale factor. For scale factor k, the transformation of the dilation is written as :  (x, y) → (k x, k y).

The scale factor ,k  = coordinate of image / coordinate of original

Given that Triangle ABC is dilated to create triangle A’B’C’ using point O as the center of dilation as shown in the figure

Scale Factor = coordinate of image / coordinate of original

                    = OA' / OA = 9/3 = 3

Therefore, the scale factor for the given dilation is 3.

Also, Learn more about dilation from the link given below:

https://brainly.com/question/17062921

#SPJ5