Kepler's third law. Use t to represent the time, in Earth years; d to represent an object's


average distance, in millions of miles, from a star it orbits; and k for the constant of variation.

Answer:

It will cost $36.38 to travel 8.9 miles.

Step-by-step explanation:

In order to get how much it will cost to travel 8.9 miles, you need to first set up a linear equation (in slope-intercept form, which is \(y=mx+b\) ). You can do this with what the problem has given us. Since there's a flat fee of $3, that is the y-intercept or the \(b\) slope-intercept form. Then there is $3.75 added for every additional mile traveled, making it the slope or the \(m\) in slope-intercept form. That makes the equation look like:

\(y=3.75x+3\)

The \(x\) in that equation represents how far you traveled. Therefore in order to find out 8.9 miles, plug in 8.9 for \(x\).

\(y=3.75(8.9)+3\)

Simply solve the equation and you will have how much it will cost to travel 8.9 miles.

\(y=33.375+3\)

Now add the like terms:

\(y=36.375\)

Since it needs to be rounded to the nearest cent, you will round to the nearest tenth:

\(y=36.38\)

Therefore, it will cost $36.38 to travel 8.9 miles.

Answer:

1

Step-by-step explanation:

0=-x+1

-x=-1

x=1

\(\leq\)Answer:

Step-by-step explanation:

The distance, D, is given by the speed, S, times the time, T:  

D = S*T

D        S*T               Time          Equation for each segment

200 =  150T1  T1 = 1.33 hr       y=150x         0  \(\leq\) T \(\leq\) 1.33  hr

300 = 200T2  T2 = 1.5 hr       y=200x     1.33 \(\leq\) T \(\leq\) 2.83  hr

400 = 250T3  T3 = 1.6 hr       y=400x     2.83 \(\leq\) T \(\leq\) 4.43  hr

The graph can be drawn as three lines, ione each for the three segments, each having the slope shown in the equation for that segment and extending between the range of values for T (which is the "x" in the equation and on the graph).  The y axis will be ditance, in km.

The overall speed is the total distance divided by the total time:

    D(km)      T(hr)

1)     200       1.33

2)    300       2.83-1.33 = 1.5

3)    400       4.43-2.83 = 1.6

      900 km          4.43 hr

(900 km)/(4.43 hr)

Average speed = 203.01 km/hr

The diagonals of a quadrilateral are perpendicular and one pair of opposite sides is parallel.

A quadrilateral is a shape with four straight sides. The trapezoid is a quadrilateral with only one pair of parallel sides.

An isosceles trapezoid is a trapezoid with two of the sides having the same length.

It can be proven that a quadrilateral is either a rectangle or an isosceles trapezoid by the following statement:

The diagonals of a quadrilateral are perpendicular and one pair of opposite sides is parallel.

If a quadrilateral has perpendicular diagonals and one pair of opposite sides that are parallel, then it can be either a rectangle or an isosceles trapezoid.

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Chad's car achieved an average rate of 10 miles per gallon.

The unit rate of miles per gallon can be calculated by dividing the total miles driven by the amount of gas consumed.

In this case, Chad drove 20 miles and used 2 gallons of gas.

To find the unit rate, we divide the miles by the gallons:

20 miles / 2 gallons = 10 miles per gallon.

Therefore, the unit rate of miles per gallon for Chad's car is 10 miles per gallon.

This means that for every gallon of gas Chad's car consumes, it is able to travel a distance of 10 miles.

It's important to note that the unit rate can vary depending on factors such as driving conditions, speed, and the type of car, but in this scenario, Chad's car achieved an average rate of 10 miles per gallon.

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Answer:

x=7

Step-by-step explanation:

6x6=36

6x7=42

Sides of the right triangle are 6x bigger

Answer:

remember that the circumference of a circle is 2πR

so the answer is 157.08

Answer:Check Below

Step-by-step explanation:

To find the percentage of miles jogged on the treadmill, you need to divide the number of miles jogged on the treadmill by the total number of miles jogged and then multiply by 100.Miles jogged on treadmill = 12Total miles jogged = 60Percentage of miles jogged on the treadmill = (12/60) x 100% = 20%Therefore, Samantha jogged 20% of her total distance on a treadmill.

Answer:

1/2

Step-by-step explanation:

6/12 (divide by 6/6)

1/2

Answer: la respuesta es 1/2

Step-by-step explanation: porque seis es la mitad de 12

Mr. Adams divides 183 markers equally among the 24 students in his class. To find the least number of extra markers in the box, divide the total markers (183) by the number of students (24). The result is 7 with a remainder of 15. So, the least number of extra markers in the box is 15.

Mr. Adams divides 183 markers equally among the 24 students in his class, which means each student gets 7 markers. However, since 7 does not divide evenly into 183, there will be some markers left over. To determine the least number of extra markers in a box, we need to find the remainder when 183 is divided by 24.
Using long division, we get:

   24 | 183
       -----
         7  6
         -----          
This means that there are 6 markers left over that Mr. Adams puts in a box. Therefore, the least number of extra markers in a box is 6.
Mr. Adams divides 183 markers equally among the 24 students in his class. To find the least number of extra markers in the box, divide the total markers (183) by the number of students (24). The result is 7 with a remainder of 15. So, the least number of extra markers in the box is 15.

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There are some ways by which move the steps from sequence and series method like

Move the medium desk to the left peg. Move the small desk to the left peg. Move the large desk to the right peg. With the small disc to the middle peg. Move the middle desk to the right peg. With the small desk to the right peg.

According to the statement

we have to explain the moving steps to change the position of the given three disk from one peg to another.

So, for the solution of this problem

Firstly we know that the sequence and series

An itemized collection of elements in which repetitions of any sort are allowed is known as a sequence, whereas series is the sum of all elements.

we have to use the sequence and series method.

So, according to this method

Move the medium desk to the left peg. Move the small desk to the left peg. Move the large desk to the right peg. With the small disc to the middle peg. Move the middle desk to the right peg. With the small desk to the right peg.

So, there are some ways by which move the steps from sequence and series method like

Move the medium desk to the left peg. Move the small desk to the left peg. Move the large desk to the right peg. With the small disc to the middle peg. Move the middle desk to the right peg. With the small desk to the right peg.

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let's call that point C, thus we get the splits of AC and CB

\(\textit{internal division of a line segment using ratios} \\\\\\ A(0,0)\qquad B(6,9)\qquad \qquad \stackrel{\textit{ratio from A to B}}{2:1} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{2}{1}\implies \cfrac{A}{B} = \cfrac{2}{1}\implies 1A=2B\implies 1(0,0)=2(6,9)\)

\((\stackrel{x}{0}~~,~~ \stackrel{y}{0})=(\stackrel{x}{12}~~,~~ \stackrel{y}{18}) \implies C=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{0 +12}}{2+1}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{0 +18}}{2+1} \right)} \\\\\\ C=\left( \cfrac{ 12 }{ 3 }~~,~~\cfrac{ 18}{ 3 } \right)\implies C=(4~~,~~6)\)

Answer: 44.9

Step-by-step explanation:

33.9+11 = 44.9

Answer:

44.9

Step-by-step explanation:

33.9+11=44.9

44.9-11=33.9

The volume of the solid obtained by revolving the curve \(y(x) = \sin(4x)\) for \(0 \leq x \leq \pi\) about the \(x\)-axis is \(\frac{\pi}{2}\) cubic units.

To find the volume of the solid obtained by revolving the curve \(y(x) = \sin(4x)\) about the \(x\)-axis, we can use the method of cylindrical shells. The volume can be calculated using the formula:

\[V = \int_{a}^{b} 2\pi x f(x) \, dx\]

In this case, \(f(x) = \sin(4x)\) and the interval of integration is \(0 \leq x \leq \pi\). Substituting these values into the formula, we have:

\[V = \int_{0}^{\pi} 2\pi x \sin(4x) \, dx\]

To evaluate this integral, we can use integration by parts. Let \(u = x\) and \(dv = 2\pi \sin(4x) \, dx\). By differentiating \(u\) and integrating \(dv\), we find \(du = dx\) and \(v = -\frac{\pi}{4} \cos(4x)\). Applying integration by parts, we have:

\[V = \left[-\frac{\pi}{4} x \cos(4x)\right]_{0}^{\pi} - \int_{0}^{\pi} -\frac{\pi}{4} \cos(4x) \, dx\]

Simplifying, we obtain:

\[V = \left[-\frac{\pi}{4} x \cos(4x) + \frac{\pi}{16} \sin(4x)\right]_{0}^{\pi}\]

Evaluating this expression at the upper and lower limits, we get:

\[V = \left[-\frac{\pi}{4} \pi \cos(4\pi) + \frac{\pi}{16} \sin(4\pi)\right] - \left[-\frac{\pi}{4} \cdot 0 \cdot \cos(0) + \frac{\pi}{16} \sin(0)\right]\]

Simplifying further, we have:

\[V = \left[-\frac{\pi^2}{4} \cos(4\pi)\right] - \left[0\right]\]

Since \(\cos(4\pi) = \cos(0) = 1\), the expression simplifies to:

\[V = -\frac{\pi^2}{4}\]

However, we are interested in the volume of the solid, which is a positive quantity. Therefore, the correct answer is:

\[V = \frac{\pi^2}{4}\]

Rounded to three decimal places, the volume of the solid obtained by revolving the curve \(y(x) = \sin(4x)\) for \(0 \leq x \leq \pi\) about the \(x\)-axis is approximately \(2.468\) cubic units.

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Answer:

15%

Step-by-step explanation:

Jose thought 12/80 of the movies were very good.

To find the answer, we divide using 12/80.

12 divided by 80 is 0.15 which is 15%.

Answer:

I hope this helps you

Step-by-step explanation:

Area = Base × Height

= 1.8m × 2.5m

= 4.5m^2

Answer:

Point C

Step-by-step explanation:

Point C is located on the x-axis.

The steps for constructing a circumscribed circle include:

In geometry, it should be noted that the circumscribed circle is a circle that passes through the vertices of the polygon. In this case, the center of this circle is the circumcenter and the radius is called the circumradius.

A circle is circumscribed about a polygon when the polygon's vertices are on the circle. A circle is inscribed a polygon when the sides of the polygon are tangential to the circle.

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Answer:

117 m²

Step-by-step explanation:

Given the scale factor of the enlargement is 3 , then

the area is increased by a factor of 3² = 9

area of new triangle = 9 × 13 m² = 117 m²

Answer:

4x + 4 or (2x) + (2x+4)

Step-by-step explanation:

Ok so east is the right side. The length of the east side would be (2x) + (2x+4). You can then simplify this to 4x + 4 but I don't know if your teacher wants you to do that. Hope this helps!

Answer:

27.77777777777778

Step-by-step explanation:

or 28

The range of the test scores in Mr. Miller's math class is 42.

Mathematically, the range refers to the difference between the highest value and the lowest value in a data set.

The range is computed by subtraction of the lowest value from the highest value.

Mr. Miller can use the range to measure the spread or dispersion of the test scores.

Test Scores:

52, 61, 69, 76, 82, 84, 85, 90, 94

Highest score = 94

Lowest score = 52

Range = 42 (94 - 52)

Thus, we can conclude that for the math students in Mr. Miller's class, the range of their test scores is 42.

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Answer:

i think 4 feet tall

Step-by-step explanation:

i think if it is wrong im sorry i tried

Answer:

37.7ft³

Step-by-step explanation:

Answer:

DCC

Step-by-step explanation:

CDDCDC

Different type of spaghetti dinners is 8

What is combination ?

"The number of possible arrangements in a collection of items where the order does not matter."

For 4 different shaped of noodles = ⁴c₁

                                             ⁴c₁ = 4        

For two kinds of cheese = ²c₁

                                         ²c₁ = 2

Now , multiplying these  4×2 = 8

Hence, 8 type of spaghetti dinners

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There are 12 months in a year, and we need a baseline, we would require 11 binary variables to be utilized as independent variables in a regression model to capture the month of the year.

False.

If we wish to incorporate the month of the year into a regression model using binary variables, we would need to use only 11 binary variables.

How to incorporate the month of the year into a regression model using binary variables

The incorporation of the month of the year into a regression model can be done with the aid of binary variables.

Binary variables are frequently utilized in regression analyses to incorporate factors that can not be represented quantitatively or that are dichotomous, such as gender or marital status.

A binary variable is a type of dichotomous variable that can only take on two possible values. The value of the binary variable is typically denoted as 1 or 0, where 1 indicates the presence of the characteristic, while 0 indicates the absence of the characteristic.

There are 12 months in a year, therefore if we wished to include the month of the year as a factor in a regression model using binary variables, we would require 12 variables, each of which would represent a specific month of the year.

If we code the binary variable for a particular month as 1 and the binary variable for all other months as 0, then only one binary variable would be equal to 1 at any given time.

However, since there are 12 months in a year, and we need a baseline, we would require 11 binary variables to be utilized as independent variables in a regression model to capture the month of the year.

So it is False

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Answer:

\(n=5\)

Step-by-step explanation:

Given the following question:

\(0=n-5\)

To find the answer we simply add five on both sides because this is a one-step equation.

\(0=n-5\)
\(-5+5=0\)
\(0+5=5\)
\(5=n\)
\(n=5\)

Which means your answer is "n = 5."

Hope this helps.

Step-by-step explanation:

Not sure if I'm right or not but I think your question is

6/4 + 8/4

so I'll solve now

6/4 + 8/4 .........look for the common denominator (4)

6+8/ 4

14/ 4

In decimals = 3.5

In fractions =7/2

Answer:

4

Step-by-step explanation:

(2^4)^-2 is the same as saying 2^2 which is 4

when you have an exponent to a power you can add them together and 4+-2=2

Answer:

9

Step-by-step explanation:

Class width = 29 - 20 = 9

x = 78 + 10 = 88

So the lenght of EG is 88

Answer:

Step-by-step explanation

Multiply 54 + 24 and take the square root of both numbers