A back wheel on a tricycle has a radius of 8 centimeters and rotates at a rate of 200 times per minute. Approximately what are the angular velocity of the wheel in radians per second and the linear velocity of a point on the wheel in centimeters per second?

The solution to the problem using Associative Property is; 5x² + 5x + 9

The associative property of addition states that the sum of three or more numbers remains the same regardless of how the numbers are grouped.

For example, a + (b + c) = (a + b) + c. This means that no matter how the numbers are grouped, the sum of both the expressions remains the same.

We are given the expression;

(3x + 4) + (5x² - 1) + (2x + 6)

Using associative property, we have;

5x² + (3x + 2x) + (4 - 1 + 6)

⇒ 5x² + 5x + 9

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The approximate measure of angle YZX is 39.4°. Option(B) is the correct answer.

we know that

In the right triangle XYZ

\(tan(Y Z X)= \frac{opposite side angle YZX}{adjacent side angle YZX}\)

In this problem,

Opposite side angle YZX= XY = 12.4cm

Adjacent side angle YZX= YZ = 15.1cm

substitute the values,

\(tan ( Y Z X) = \frac{12.4}{15.1}\)

\(Angle ( Y Z X) = arc tan( \frac{12.4}{15.1} )\)

Angle ( Y Z X) = 39.4°

So,  the approximate measure of angle YZX is 39.4°.

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The complete question is:

In right triangle XYZ, the right angle is located at vertex Y. The length of line segment XY is 12.4 cm. The length of line segment YZ is 15.1 cm. Which is the approximate measure of angle YZX?

A .34.8°

B .39.4°

C .50.6°

D. 55.2°

Step-by-step explanation:

surface area of hemisphere=2πr²

Answer:

The answer is x= -1 3/7.

Step-by-step explanation:

Answer: I do not comprehend

Step-by-step explanation:

Answer:

I think it is 5.50 not sure but I hope this helps.

Step-by-step explanation:

Answer:

8 pounds total

Step-by-step explanation:

first calculate how much she used in total

1/4 + 3/8

need like denominators so multiply 1/4 by 2

2/8 + 3/8 = 5/8

so 5/8 of the total is 5 pounds, now find the total

if 5/8 = 5, then 8/8 = _8_

Based on the circle theorems, the measures in circle E are:

m(AB) = 40°

m∠AEB = 40°

m∠ACB = 40°

m(ADB) = 320°

The theorems are:

Using the circle theorems, given the inscribed angle, m∠ADB = 20°, we have:

m(AB) = 2(m∠ADB) = 2(20) = 40°

m∠AEB = m(AB) = 40°

m∠ACB = m∠AEB = m(AB) = 40°

m(ADB) = 360° - 40° = 320°

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Answer

Second option is correct.

Option G is correct.

Area of the figure = (6.8/2) + (10.8)

Explanation

We can see that the figure is a combination of a triangle and a rectangle

Area of a rectangle = Length × Width

For the rectangular part,

Length = 10

Width = 8

Area of the rectangle = 10 × 8 = (10.8)

Area of a triangle = ½ × Base × Height

For this triangle,

Base = 16 - 10 = 6

Height = 8

Area of the triangle = ½ × Base × Height

Area of the triangle = ½ × 6 × 8 = (6.8/2)

Area of the figure = Area of the triangle + Area of the rectangle

Area of the figure = (6.8/2) + (10.8)

Hope this Helps!!!

a) The relevant population is the heavy soft-drink users in the given case, and the appropriate sampling design that should be used is  stratified random sampling. The list of all heavy soft-drink users is the sampling frame.

b) Cluster sampling refers to a sampling design where population is divided into naturally occurring groups and a random sample of clusters is chosen.

The advantages are efficient, easy to perform, and used when the population is widely dispersed. The disadvantages are sampling errors, have lower level of precision, and have the standard error of the estimate.

a) The relevant population for the public relations research department to investigate the initial reactions of heavy soft-drink users to a new all-natural soft drink is heavy soft-drink users. The appropriate sampling design that can be used to investigate the issues is stratified random sampling.

Stratified random sampling is a technique of sampling in which the entire population is divided into subgroups (or strata) based on a particular characteristic that the population shares. Then, simple random sampling is done from each stratum. Stratified random sampling is appropriate because it ensures that every member of the population has an equal chance of being selected.

Moreover, it ensures that every subgroup of the population is adequately represented, and reliable estimates can be made concerning the entire population. The list of all heavy soft-drink users can be the sampling frame.

b) Cluster sampling is a type of sampling design in which the population is divided into naturally occurring groups or clusters, and a random sample of clusters is chosen. The elements within each chosen cluster are then sampled.

The advantages of cluster sampling are:

The disadvantages of cluster sampling are:

A situation where cluster sampling would be appropriate is in investigating the effects of a new medication on various groups of people. In this case, the population can be divided into different clinics, and a random sample of clinics can be selected. Then, all patients who meet the inclusion criteria from the selected clinics can be recruited for the study. This way, the study will be less expensive, and it will ensure that the sample is representative of the entire population.

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Answer:

Hello!

When solving the equation \(|2x + 2| = 10\) , your answer would be...

\(x=4,-6\)

Step-by-step explanation:

Find all solutions for x by changing the absolute value into the positive and negative components

Hope this helps!!

The function builds up the factorial of the original number. The recursive module must call itself to solve a smaller version of the original problem because recursion is a process of solving a problem by breaking it down into smaller, simpler subproblems.

Each recursive call reduces the problem size until it reaches a base case, which is a simple enough problem that can be solved without recursion. By solving the smaller subproblems, the recursive function can gradually build up a solution to the original problem.

For example, consider the problem of computing the factorial of a number. We know that the factorial of a number is defined as the product of all positive integers up to that number. To compute the factorial of n, we can use the recursive formula:

factorial(n) = n * factorial(n-1)

Here, the function calls itself with the argument n-1, which is a smaller version of the original problem. This process continues until n reaches 1, which is the base case, and the function returns 1. Then, each function call returns a value to the calling function, which multiplies it with the current value of n and returns the result. In this way, the function builds up the factorial of the original number.

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In thia problem we have that

m<1 and m< 2 are consecutive interior angles

that means

m<1+m<2=180 ------> supplementary angles

substitute the given values

4x+16+2x-22=180

solve for x

6x-6=180

6x=180+6

6x=186

x=31

Find the value of m<1

m<1=4(31)+16

m<1=140 degrees

The 95% confidence interval for the population proportion of student loan borrowers with loans totaling more than $20,000 is approximately (0.3235, 0.3765).

To construct a 95% confidence interval for the population proportion of student loan borrowers with loans totaling more than $20,000, we need to calculate the sample proportion, standard error, and critical value.

1. Sample proportion (p) = Number of students with loans over $20,000 / Total sample size
p = 448 / 1280 ≈ 0.35

2. Standard error (SE) = √(p * (1 - p) / n)
SE ≈ √(0.35 * (1 - 0.35) / 1280) ≈ 0.0135

3. For a 95% confidence interval, we use a critical value (z) of 1.96.
Margin of error (ME) = z * SE
ME ≈ 1.96 * 0.0135 ≈ 0.0265

4. Calculate the confidence interval:
Lower limit = p - ME ≈ 0.35 - 0.0265 ≈ 0.3235
Upper limit = p + ME ≈ 0.35 + 0.0265 ≈ 0.3765

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Answer:

40

Step-by-step explanation:

Answer:

0.04

Step-by-step explanation:

4% = 0.04

The statement that , "The set Span{u,v} is always visualized as a plane through the origin" is False because if vectors are scalar multiples of each other, then set Span{u,v} is a line through origin .

The set Span{u,v} is defined as the set of all linear combinations of vectors "u" and "v" . This set can be visualized as a plane in three-dimensional space if the vectors are not scalar multiples of each other.

The plane may not necessarily pass through the origin, unless one of the vectors is the zero vector .

If the vectors are scalar multiples of each other, then the set Span{u,v} is a line through the origin, and if one of the vectors is the zero vector, then the set Span{u,v} is a plane through the origin.

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hi

7x+2y = -5

3x-y = 9

first thing is to define one letter by it's value in the second.

here we have  3x-y = 9  so

                        -y = 9 -3x

                          y = 3x-9  

then with   y = 3x-9 ,

7x +2y = -5  ⇔ 7x + 2 ( 3x-9) = -5

so :

7x + 2 ( 3x-9) = -5

7x +6x -18 = -5

 13x -18 = -5

  13x = -5 +18

   13x = 13

    x = 13/13

    x = 1

as :  y = 3x-9  so  bhy remplacing X by it's value  

 y =  3 (1) - 9  =    3-9 = -6

 y = -6

solutions are :

x = 1   and  y = -6

let' s check to be sure :  

7 (1) + 2 (-6) =   7 -12 = -5  

and   3(1) - (-6) =   3 +6 = 9

Answer:

Step-by-step explanation:

X+7 < 12

Answer:

P = 6d ; P = 5d + 15

Step-by-step explanation:

Given that :

Keith = 6 pages per day

Tameka = 5 pages per day

Tameka has already read 15 pages

If d = Number of days ; p = pages read

Keith :

Pages read, p = pages read per day * Number of days, d

P = 6d

Tameka :

Pages read, p = (pages read per day * Number of days, d) + pages read already

P = 5d + 15

The system of equations to represent the number of pages read per day by Keith and Tameka, using d for days and p for pages are,

\(\\P=6d\)

\(P=5d+15\)

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

Two students are reading a book.  Keith reads 6 pages a day. Equation for Keith, where d for days and p for pages can be given as,

\(P=6\times d\\P=6d\)

Tameka reads 5 pages a day, but he starts sooner and has already read 15 pages. The equation for Tameka, where d for days and p for pages, can be given as,

\(P=5\times d+15\\P=5d+15\)

Hence, the system of equations to represent the number of pages read per day by Keith and Tameka, using d for days and p for pages are,

\(\\P=6d\)

\(P=5d+15\)

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When we have a function f and we want to move it up or down we must add something to the function. If we add a positive number it will move the graph up, if we subtract it will move the graph down.

We want to move up the following graph:

If we want to move it up we must add a positive number to the function. We want 4 units up then let's add 4 to the function

Then the function that represents that transformation is

Answer:

= 2

Step-by-step explanation:

Answer:

Look into this site called MathPapa It will do almost any problem you want (as long as It is like 10+28 or 7(6)*6(7) something like that but It is a really good calculator check It out! See screen shot

Step-by-step explanation:

Please do tell If I am incorrect :)

Answer:Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

Quincy spends  of his pocket money on snacks to keep in his locker. Write the fraction  in decimal form.

The decimal equivalent of  is .

Step-by-step explanation:Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

Quincy spends  of his pocket money on snacks to keep in his locker. Write the fraction  in decimal form.

The decimal equivalent of  is .

Answer i took the quiz

the answers r

1

2

Answer:

y=(x-4)^2=x^2-8x+16

Step-by-step explanation:

Since we know that x=4 is a solution with multiplicity 2. Therefore x=4 will occur as a factor twice in the quadratic equation.

So

y=(x-4)^2

\(y=(x-4)^2=x^2-8x+16\)

The mean of all exam scores in the class is found as 71.

For the given question;

The z-score is found by;

z = (x - μ)/σ

x =  sample mean

μ =  mean score

σ =  standard deviation

Now, from this,

x = zσ + μ

For p = 80th percentile= 0.8, see z value from z score table.

z = 0.85

x = 85 points

85 = 0.85σ +  μ  .....eq 1

For p = 30% = 0.3, see z value from z score table.

z = -0.3802

x = 65

65 = -0.3802σ +  μ  .....eq 2

Solving eq 1 and 2.

σ = 16.25

Put in eq 1

μ = 71.19

μ = 71

Thus, the mean of all exam scores in the class is found as 71.

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Answer:

Parallel lines

Step-by-step explanation:

If 2 lines are parallel then they have equal slopes

Here slope of line I = 3 and slope of line II = 3

Then the 2 lines are parallel

Answer:

I think it's b

Step-by-step explanation:

its at -25 and the arrow is going the way the > points

Since it is a right triangle, we can use the trigonometric ratio sin(θ).

So, in this case, we have:

Now, we solve for x the above equation:

Therefore, the value of x is:

By using the trigonometric function of cosine, we conclude that the length of the hypotenuse is approximately equal to 7.2 units.

Right triangles are triangles such that one of its internal angles is a right triangle. Fundamentally, trigonometric functions are relationships between two distinct sides of a right triangle.

The picture show that the length of one leg and the measure of the angle between that leg and the hypotenuse are known, but the length of the hypotenuse does not. By using concepts of trigonometric functions, we can find the length of the hypotenuse by using the cosine function:

cos θ = s / x

cos 33° = 6 / x

x = 6 / cos 33°

x = 6 / 0.839

x ≈ 7.154

The length of the hypotenuse is approximately equal to 7.2 units.

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The equation model of the given statement in question is 6 + 7× x.

The model of equation is defined as the model of the given situation in the form of an equation using constants and variables.

In math, it deals with numbers of operations given according to the statements. The four major arithmetic operators are, addition, subtraction, multiplication, and division.

Given that;

6 is added to product of a number and 7

Now,

Let, the number multiplied by 7 be x,

=7*x

6 is added to the product;

= 6 + 7 × x

Therefore, the equation of model will be given as 6 + 7 × x;

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