What is the classification of each system?

Answer: draw the line using a ruler on which you have identified points 2 7/16 inches apart

Step-by-step explanation:  On your ruler graduated in inches with marks at 1/16-inch intervals, locate the 0 mark and the mark 1/16 inch before the half-inch mark between 2 and 3 inches.Draw your line along the edge of the ruler between the two marks you have identified: 0 and 2 7/16. The line will be 2 7/16 inches

Answer:

41.12 ft

Step-by-step explanation:

10 + 6 = 16

2 x pi x r = 25.12

16 + 25.12 = 41.12

Answer:

Step-by-step explanation:

find the outer perimeter of this figure

r = diameter : 2 = 8 : 2 = 4

2π4 =

8π=

8 × 3.14 = 25.12 ft

find figure perimeter

25.12 + 6 + 10 =

41.12 ft

Answer:

It is necesary to look for the least common denominator when one is trying to add or subtract rational expressions that do not have the same denominator

Step-by-step explanation:

================================================

Explanation:

These are the steps to focus on

step 3: -6x - 8 < -2

step 4: -6x < 6

The move from the third step to the fourth step has us adding 8 to both sides. Therefore, we use the addition property of inequality.

That property has four forms

It's similar to the idea of starting with a = b, then adding c to both sides to get a+c = b+c

We add the same thing to both sides to keep things balanced.

Answer: 2.25 inches

Step-by-step explanation:

The radius of a circle is half the diameter.

Answer:

A. True

Step-by-step explanation:

The ratio 1000 grams=1kilogram is correct.

Answer:
[tex]\pi[/tex][tex]14^{2}[/tex] or [tex]\pi 196\\[/tex]

Step-by-step explanation:

  The circle V has the radius of 14 (r=14)
The formula of area is (A=[tex]\pi r^{2}[/tex])

So we insert the value of (r=14)
[tex]A=\pi 14^2[/tex]
[tex]A=\pi 196[/tex]
And that's the answer, The exact value is 615.752...

Answer: 196 pi

Step-by-step explanation:

In accordance with the graph of the cubic function, the roots are - 2, - 1, 3.

In this question we have a graph of a cubic equation, the roots are the points of the curve that pass through the x-axis. Cubic equations have at least a real root and at most three. In accordance with the graph of the cubic equation, the roots are - 2, - 1, 3.

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The linear function y = 3 · w - 1 represents the number of sea shells found in each week.

The speed of the driven gear is 180 rounds per minute.

In the first problem we have an example of linear progression, in which the number of sea shells is increased linearly every week. After a quick analysis, we conclude that the linear function y = 3 · w - 1, a kind of direct relationship.

In the second problem, we must an inverse relationship to determine the speed of the driven gear. Please notice that the speed of the gear is inversely proportional to the number of teeths. Then, we proceed to calculate the speed:

[tex]\frac{v_{1}}{v_{2}} = \frac{N_{2}}{N_{1}}[/tex]

If we know that [tex]v_{2} = 60\,rpm[/tex], [tex]N_{2} = 60[/tex] and [tex]N_{1} = 20[/tex], then the speed of the driven gear is:

[tex]v_{1} = v_{2}\times \frac{N_{2}}{N_{1}}[/tex]

[tex]v_{1} = 60\,rpm \times \frac{60}{20}[/tex]

[tex]v_{1} = 180\,rpm[/tex]

The speed of the driven gear is 180 rounds per minute.

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The price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit is 62.13

y = -14x² + 1035x - 10266

-14x² + 1035x - 10266 = 0

x = -b ± √b² - 4ac / 2a

= -1035 ± √1035² -4(-14)(-10266) / 2(-14)

= -1035 ± √1071225 - 574896 / -28

= -1035 ± √496329 / -28

x = 1035 / 28 ± √496329 / 28

x = 11.80 or 62.13

The maximum value of x is 62.13

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The containers must be spheres of radius = 6.2cm

We know that the shape that minimizes the area for a fixed volume is the sphere.

Here, we want to get spheres of a volume of 1 liter. Where:

1 L = 1000 cm³

And remember that the volume of a sphere of radius R is:

[tex]V = \frac{4}{3}*3.14*R^3[/tex]

Then we must solve:

[tex]V = \frac{4}{3}*3.14*R^3 = 1000cm^3\\\\R =\sqrt[3]{ (1000cm^3*\frac{3}{4*3.14} )} = 6.2cm[/tex]

The containers must be spheres of radius = 6.2cm

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Answer:

x = 5

Step-by-step explanation:

Since the line is vertical,

the equation of the line then is x = (some value).

Since this particular line passes throught (5,-4), where the x coordinate is 5, we can deduce the equation of this line to be x = 5.

The volume of the rectangular prism is of 28.6875 mm³.

The volume of rectangular prism of length l, width w and height h is given by:

V = lwh.

For this problem, the dimensions are:

Hence the volume is:

V = 2.125 x 6.75 x 2 = 28.6875 mm³.

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Answer:

D.

Step-by-step explanation:

the suggested relation can be described as y=15x. Then the correct answer is D) Yes, the points are on the line that passes through the origin.

Hello,

If we want to factor the expression, we have to solve

3x² + 10x + 8 = 0

a = 3 ; b = 10 ; c = 8

∆ = b² - 4ac = 10² - 4 × 3 × 8 = 4 > 0

x1 = (-b - √∆)/2a = (-10 - 2)/6 = -12/6 = -2

x2 = (-b + √∆)/2a = (-10 + 2)/6 = -8/6 = -4/3

Factor :

a (x - x1)(x - x2)

= 3(x + 2)(x + 4/3)

= (x + 2)(3x + 4)

The function g(x) is g(x)= (3x)^2

The complete question is in the image

From the graph in the image, we have:

f(x) = x^2

The function f(x) is stretched by a factor of 3 to form g(x).

This means that:

g(x) = f(3x)

So, we have:

g(x)= (3x)^2

Hence, the function g(x) is g(x)= (3x)^2

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Answer:

71.4% ( i think)

Step-by-step explanation:

If we translate 1 in 1.4 using what is described, it turns into (1/1.4)

Putting this into a calculator, we get 0.714286. Translated into a percent, that becomes 71.4286%

The probability that a member of the Senate (selected randomly) has a law degree is approximately 0.4167 or 41.67%.

When the odds are given as "1 in 1.4," it means that there is 1 chance of success (having a law degree) for every 1.4 chances of failure (not having a law degree).

To find the probability that a member of the Senate (selected randomly) has a law degree, you can use the formula:

Probability = 1 / (1 + Odds)

In this case, the odds are 1 in 1.4, so the probability is:

Probability = 1 / (1 + 1.4) ≈ 1 / 2.4 ≈ 0.4167

So, the probability that a member of the Senate (selected randomly) has a law degree is approximately 0.4167 or 41.67%.

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Step-by-step explanation:

3 answer.....

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The solution of the equations y=[tex]x^{2}[/tex]-x-22 and y=x-7 is that x=-3,5 and y=-10,-2.

Given equations y=[tex]x^{2} -x-22[/tex], y=x-7.

We are required to solve these equations for the value of x and y.

Equation is relationship between two or more variables expressed in equal to form.Equations of two variables look like ax+by=c.It may be a linear equation, quadratic equation and cubic equations.

The given equations are:

y=[tex]x^{2}[/tex]-x-22-----------1

y=x-7----------------2

Put the value of y from second equation in first equation.

x-7=[tex]x^{2}[/tex]-x-22

Solving

[tex]x^{2}[/tex]-x-x-22+7=0

[tex]x^{2}[/tex]-2x-15=0

[tex]x^{2}[/tex]-5x+3x-15=0

x(x-5)+3(x-5)=0

(x+3)(x-5)=0

x=-3,5

Put the values of x=-3 and 5 one by one to get the two values of y in second equation.

y=x-7

x=-3

y=-3-7

=-10

x=5

y=5-7

=-2

Values of y are -10 and -2.

Hence the values of x are-3 and 5 and values of y are -10,-2.

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Given the total number of students in the university freshman class and the number of students majoring in computer science, the percentage of the class majoring in computer science is 46%.

Percentage is simply number or ratio expressed as a fraction of 100.

It is expressed as;

Percentage = ( Part / Whole ) × 100%

Given the data in the question;

We substitute the given values into the above equation.

Percentage = ( Part / Whole ) × 100%

Percentage = ( 4554 / 9900 ) × 100%

Percentage = ( 0.46 ) × 100%

Percentage = 46%

Given the total number of students in the university freshman class and the number of students majoring in computer science, the percentage of the class majoring in computer science is 46%.

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Using the Fundamental Counting Theorem, it is found that:

The 2 people can arrange themselves in 40 ways.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

With one people in the aisle and one in the normal seats, the parameters are:

n1 = 4, n2 = 7

With both in the aisle, the parameters is:

n1 = 4, n2 = 3

Hence the number of ways is:

N = 4 x 7 + 4 x 3 = 28 + 12 = 40.

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Answer:

Multiply the top equation by -3 and the bottom equation by 2

Step-by-step explanation:

Given system of equations:

[tex]\begin{cases}4x-2y=7\\3x-3y=15 \end{cases}[/tex]

To solve the given system of equations by addition, make one of the variables in both equations sum to zero.  To do this, the chosen variable must have the same coefficient, but it should be negative in one equation and positive in the other, so that when the two equations are added together, the variable is eliminated.

To eliminate the variable y:

Multiply the top equation by -3 to make the coefficient of the y variable 6:

[tex]\implies -3(4x-2y=7) \implies -12x+6y=-21[/tex]

Multiply the bottom equation by 2 to make the coefficient of the y variable -6:

[tex]\implies 2(3x-3y=15) \implies 6x-6y=30[/tex]

Add the two equations together to eliminate y:

[tex]\begin{array}{l r r}& -12x+6y= &-21\\+ & 6x-6y= & 30\\\cline{1-3}& -6x\phantom{))))))} = & 9\end{array}[/tex]

Solve for x:

[tex]\implies -6x=9[/tex]

[tex]\implies x=-\dfrac{9}{6}=-\dfrac{3}{2}[/tex]

Substitute the found value of x into one of the equations and solve for y:

[tex]\implies 3\left(-\dfrac{3}{2}\right)-3y=15[/tex]

[tex]\implies -\dfrac{9}{2}-3y=15[/tex]

[tex]\implies -3y=\dfrac{39}{2}[/tex]

[tex]\implies y=-\dfrac{39}{2 \cdot 3}[/tex]

[tex]\implies y=-\dfrac{13}{2}[/tex]

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The data given illustrates that there's a constant ratio of 2 and y = 600(2)^x; 38400

The ratio based on the information given will be:

= 1200/600

= 2

Therefore, the constant ratio is 2.

In 6 years, the population will be:

= 600 × 2^6

= 600 × 64

= 38400

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Answer:

10 hours

Step-by-step explanation:

The rate x time of the first day + the rate x time of the second day equal the distance of 180 miles.

Let t = time

10t + 8t = 180

18t = 180

t = 10

The test statistic based on the probability illustrated is -3.22.

Based on the information, the test statistic will be:

= (0.4 - 0.5)/[✓0.5(1 - 0.5)/260]

= -3.22

The p value using the distribution table is 0.0012.

The conclusion is to reject the null hypothesis as there's sufficient evidence to warrant rejection.

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Answer:

484

Step-by-step explanation:

because a=22² , which is equal to 484

because a=22² , which is equal to 484, but a=c hence C is equal to 484

Answer: [tex]10^4[/tex]

Step-by-step explanation:

Assuming we are using the common log (base 10),

[tex]\log 3ty=6\\\\\log 3y +\log t=6\\\\2+\log t =6\\\\\log t=4\\\\t=10^4[/tex]

answer: 200, 2 hundred, two hundred