what planet is 1,800,000,000 miles

Answer:

x = 36

Step-by-step explanation:

Given

3(2x - 5) - 2x = 3(x + 7) ← distribute parenthesis on both sides

6x - 15 - 2x = 3x + 21

4x - 15 = 3x + 21 ( subtract 3x from both sides )

x - 15 = 21 ( add 15 to both sides )

x = 36

The angle values that satisfy sin x = -0.39 are

In the question we were given that

sin x = -0.39

we find the angle by using the inverse sine function or arc sin on a calculator:

arc sin -0.39 = -23.45 degrees

sin functions are negative in the fourth and third quadrant hence we move the angle to these quadrants

Third quadrant: 180 + 23.45 = 203.45 degrees

fourth quadrant: 270 + 23.45 = 293.45 degrees

Therefore, the two angle values that satisfy sin x = -0.39 are approximately 203.45 degrees and 293.45 degrees

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(a) The function f(x, y) does not have a limit at (0,0). (b) No information is provided to determine the limit for f2(x, y).

(a) For the function f(x, y) = 5ry²/(3x² + y²), we can analyze the behavior as (x, y) approaches (0,0). Since the denominator 3x² + y² becomes zero as (x, y) approaches (0,0), we cannot directly evaluate the function at this point. However, by considering the parabola z = -y², we can observe that the function does not approach a specific value and thus does not have a limit at (0,0).

(b) The function f2(x, y) = Vel + Vsin(y) is not well-defined as no information or context is provided for the variables Vel, V, and U. Without this information, it is not possible to determine the limit of the function at (0,0) or any other point.

Therefore, for (a), the function f(x, y) does not have a limit at (0,0), and for (b), no information is given to determine the limit for f2(x, y).

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Answer:

2x

Step-by-step explanation:

Its simple just try

Ans is C.2x

Answer:

She was driving for 5 hours

Step-by-step explanation:

Let us solve the question

∵ Kate begins with 16 gallons of gas in her car

∵ Her car burns 3 gallons of gas each hour

→ That means the rate of burn of the gas is 3 gallons per hour

∵ She ends her road trip with 1 gallon of gas left in the tank

→ That means she used the difference between 16 and 1 gallons

∴ The number of gallons she used = 16 - 1 = 15 gallons

→ By using the ratio method

→ Gallon  :  hour

→  3          :  1

→  15        :  x

→ By using cross multiplication

∵ 3 × x = 15 × 1

∴ 3x = 15

→ Divide both sides by 3

∴ x = 5

∵ x represents the number of hours of her trip

∴ She was driving for 5 hours

Answer:

1) 601.6

2) 30

3) 156

Step-by-step explanation:

Answer: 14.1421356237

Step-by-step explanation: We should know that 200 can be written in radical form (√200 = q × q = q2).  To find the square root of 200, first you can ask yourself whether √200 is a perfect square, in which it isn’t because it doesn’t equal a whole number. Next, ask yourself if √200 is a rational or irrational number, in which it is an irrational number. After, determine whether √200 can be simplified, which in this case can be simplified to 200 = 10√2 which makes it easier to calculate the square root of 200. Lastly, the easiest and most boring way to calculate the square root of 200 is to use your calculator! Simply type in 200 followed by √x to get the answer. We did that with our calculator and got the following answer with 9 decimal numbers:

√200 ≈ 14.142135624

Answer:

0.06

24.7%

53%

3/5

3/4

Step-by-step explanation:

Change the percents and fractions to a decimal then put in order of smallest to largest.

The extent to which conclusions developed from data collected from a sample can be extended to the population is known as generalizability.

Generalizability is defined as the ability to extend the findings of a research study conducted on a sample to the population as a whole. The extent to which the research findings can be applied to other individuals, groups, or settings is determined by generalizability. The more representative the sample is of the population, the more generalizable the results will be to the population. However, if the sample is not representative of the population, the results may not be generalizable to the population as a whole. Therefore, it is important to ensure that the sample is representative of the population and that the study is conducted in a manner that minimizes bias and maximizes the validity of the results.

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Answer:

-96np^10

Step-by-step explanation:

I hope it's right

Answer:

The steepness of the line

Step-by-step explanation:

3/3

Answer:

8y=21x

Step-by-step explanation:

i'm not sure how to draw this out in a picture but the equation is above.

like the question states, Cassidy paints 8 faces in every 21 minutes. the amount of time she spends painting one face would be figured out by dividing 21 by 8 giving you 2.625minutes so i would just say around 3 minutes. so to draw a picture maybe just draw 8 faces and then circle them and say 21 minutes and then put x (to show the time she spent painting each face) under the faces in the picture and then show your work solving this.

in order to find out the ratio of time spent drawing one person's face we have to take the information given and divide the total of 21 minute span by the 8 different faces she painted in order to find how long she spends on 1 face.

hope this helps, if it did please make sure to leave a like, rate, and give me the brainliest if possible!

thanks have a great day!

Answer:

2

Step-by-step explanation:

Pick any point

You go up 2 and 1 over

2/1 is the same as 2 just simplified!

The equation in slope-intercept form that represents the situation is y = 7x - 598

The slope of a line is the ratio of the amount that y increases as x increases some amount. Slope tells you how steep a line is, or how much y increases as x increases. The slope is constant (the same) anywhere on the line.

The ordered pair are ( 98, 88) and (107, 151)

Equation of line in slope-intercept form is y = mx + c

at x = 98, y =88

so that by substituting we have,

88 = 98m + c -------------------1

at x = 107, y = 151 and by substituting we have

151 = 107m + c -----------------2

subtract equation 1 from 2

63 = 9m

m = 63/9

m = 7

substitute m = 7 in equation 1

88 = 98(7) + c

c = 88 - 686c

c = -598

substitute m and c for their values equation becomes

y = 7x - 598

In conclusion, the equation in slope-intercept form is y = 7x - 598

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Answer:

20,000

Step-by-step explanation:

5,000 x 2 = 10,000

10,000 x 2 = 20,000

Step-by-step explanation:

So this is the way I would look at this like, you could say that since it doubles by x2 every 12 years by 24 years it would or could be 200,00 since you have doubled once already from 50,000 to 100,000 on the 12 years your gonna multiple that by 2 as well since you have reached your year mark.

that's personally the way I would look at it but I'm sure other people will ne able to help aswell or change mine.

Answer:

x ≈ 44.4°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin x = \(\frac{opposite}{hypotenuse}\) = \(\frac{7}{10}\) , then

x = \(sin^{-1}\) (\(\frac{7}{10}\) ) ≈ 44.4° ( to the nearest tenth )

The inequality shaded in the graph is given as follows:

y ≥ 5x/2 + 3.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph crosses the y-axis at y = -3, hence the intercept b is given as follows:

b = 3.

When x increases by 2, y increases by 5, hence the slope m is given as follows:

m = 5/2.

Then the equation of the line is given as follows:

y = 5x/2 + 3.

The line is a solid line, and values above it are plotted, hence the inequality is given as follows:

y ≥ 5x/2 + 3.

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Answer:

Step-by-step explanation:

I believe the correct answer from the choices listed above would be the first option. The graph that shows a function where f(2) = 4 would be the graph that passes through point (2,4) which is shown in the first graph. Hope this answers the question.

Hey There!!

Your best choice is 1.

Because, We have to find a function where f(2)=4. It means the value of function is 4 at x=2.

In graph 1, the value of function is 4 at x=2, therefore option 1 is correct.

In graph 2, the value of function is -4 at x=2, therefore option 2 is incorrect.

In graph 3, the value of function is not shown in the graph at x=2, therefore option 3 is incorrect.

In graph 4, the value of function is not shown in the graph at x=2, therefore option 4 is incorrect.

Thus, correct option is 1.

Hope This Helps!!

All solutions to the given problem regarding matrices have been explained and answered below.

We have been given the equations,

x + y - z = 2

x + 2y + z = 3

x + y + (k²-5) z = k

the augmented matrix for the given equations will be,

\(\left[\begin{array}{ccc|c}1&1&-1&2\\1&2&1&3\\1&1&(k^{2}-5)&k\end{array}\right]\)

After applying row operations we get the row-reduced form of the matrix, i.e.

\(\left[\begin{array}{ccc|c}1&0&0&\frac{5+k}{2+k} \\0&1&0&\frac{k}{2+k} \\0&0&1&\frac{1}{2+k}\end{array}\right]\)

For a matrix to be no solutions the rank of the matrix has to be lesser than the rank of the augmented matrix,

If we put k = -2, we get

\(\left[\begin{array}{ccc|c}1&0&-3&0\\0&1&2&0 \\0&0&0&1\end{array}\right]\)

∴ for k = -2, we get no solutions for the equations.

For a matrix to be having infinitely many solutions, the rank of the matrix has to be lesser than the no. of variables,

but for no values of k this condition is satisfied for the given equations,

∴ for no values of k, we get infinitely many solutions for the equations.

And for any other of k, the solutions will be unique.

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Approximately 4.5 gallons of paint would be needed for one coat on the entire exterior of the barn, including the roof.

To determine the number of gallons of paint needed for one coat on the entire exterior of the barn, including the roof, we need to calculate the total surface area that needs to be painted.

Let's consider the dimensions of the barn:

Length: 30 feet

Width: 20 feet

Height: 10 feet

First, let's calculate the surface area of the four walls. Since a rectangular barn has opposite walls with equal dimensions, we can calculate the area of one wall and multiply it by 4:

Wall area = Length * Height

= 30 feet * 10 feet

= 300 square feet

Now, multiply the wall area by 4 to account for all four walls:

Total wall area = Wall area * 4

= 300 square feet * 4

= 1200 square feet

Next, let's calculate the surface area of the roof, which is a rectangle:

Roof area = Length * Width

= 30 feet * 20 feet

= 600 square feet

Finally, we calculate the total surface area that needs to be painted by adding the wall area and the roof area:

Total surface area = Total wall area + Roof area

= 1200 square feet + 600 square feet

= 1800 square feet

Given that one gallon of paint covers 400 square feet, we can divide the total surface area by 400 to determine the approximate number of gallons needed for one coat:

Number of gallons = Total surface area / Coverage per gallon

= 1800 square feet / 400 square feet

= 4.5 gallons

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Answer:Xkskx

Step-by-step explanation:

Answer:

A = 36 units²

Step-by-step explanation:

the area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

here b = LM = 6 units

h = length from M vertically to JK = 6 units

A = 6 × 6 = 36 units²

Answer:

$7.13

Step-by-step explanation:

Very simple, we subtract 12.87 from 20 and the answer is 7.13.

So should get back $7.13 as her change

Answer:

she had save 100 dallors

Answer:

\((5z + 5) \: + \: (7z + 4)\)

\(5z + 5 - 7z - 4\)

\(5z - 7z + 5 - 4\)

\(2z + 1\)

Answer:

Bob and Charlotte are raising their grandchildren after their daughter dies.The children are moved from California to a farm in Nebraska. The three children are struggling with school, life on a farm and their mother’s death. Sam is having trouble working with his son and new ideas for the farm. Charlotte doesn’t want to make the same mistakes she made with her own children.Their faith and help from friends help. The one thing that stood out was how overworked Charlotte is with no help or time to herself.

Answer:

Step-by-step explanation:

Asymptote is the x axis for both functions. the y intercept is translated up to 125

A relation is a function if it has only One y-value for each x-value.

The asymptote and intercept of the given function compare to the asymptote and intercept of the function f(x) = 5ˣ

To find x- or y-intercepts, set the other variable equal to zero and solve in turn.

To find y-intercept: set x = 0 and solve for y. The point will be (0, y). To find x-intercept: set y = 0 and solve for x. The point will be (x, 0).

The asymptote is the x axis for both functions. the y intercept is translated up to 125.

Hence, asymptote is the x axis for both functions. the y intercept is translated up to 125.

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The equation of the line in slope-intercept form;

y = √3x + b.

A polar equation is any equation that expresses the relationship between r and theta, where r is the distance from the origin (pole) to a point on a curve and theta is the counterclockwise angle formed by a point on a curve, the pole, and the positive  x-axis.

Equation 1 is x = rcosθ

Equation 2 is y = rsinθ

The angle is.θ

The radius of a circle is r.

The slope from this angle is also determined by:

θ = tan⁻¹(y/x)

tan⁻¹ (π/3) = (y/x)

√3 Equals (y/x)

y = √3x

In mathematics, this formula yields the equation of the line in slope-intercept form;

y = √3x + b.

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I understand that the question you are for is:

Transform each polar equation to an equation in rectangular form.

A. theta=pi/3

Part I: Use the conversion rules to express x and y in terms of r. You should

have two equations after this step.

Part II:Use the ratio (y/x) to find the slope of the line defined by this

equation.

Part III: Write the equation of the line in slope-intercept form.

Given that AB is a diameter. |BC| = |CD| and AÔD = 64°, The angles  of the quadrilateral ABCD is 90 degrees

Since |BC| = |CD|, we know that triangle BCD is an isosceles triangle.

Since triangle BCD is isosceles, angles BDC and CBD are equal. Let's call each of these angles x.

180 - 64

= 116 degrees

angle BCD = 180 - 116

= opposite angles in a cyclic quadrilateral are supplementary

116 + 64 + 2 OBC = 360

2 obc = 360 - 116 - 64

0bc = 180 / 2

= 90 degrees

Hence the angles  of the quadrilateral ABCD is 90 degrees

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Answer:

Line segment BD is congruent to line segment DC because they are divided by a bisector, which tells you that a bisector is present when both sides of the shape are congruent.

Step-by-step explanation: