Order the cities according to population density (persons/sq. km), from greatest to smallest.

The number of miles she drove the van for is 250 miles

From the question, we are to determine the number of miles Shelly drove the van

The given equation which shows the relationship between the number of days she rented the van, d, and the number of miles she drove the van, m is

20d + 0.7m = 235

Now, if she rented the van for 3 days, that is, d = 3

Putting the value of d = 3 into the equation to determine the value of m

We get

20(3) + 0.7m = 235

60 + 0.7m = 235

0.7m = 235 - 60

0.7m = 175

m = 175 / 0.7

m = 250

Hence, the number of miles she drove the van for is 250 miles

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keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{1}{3}}x+5\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-1}{3}} ~\hfill \stackrel{reciprocal}{\cfrac{3}{-1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{-1}\implies 3}}[/tex]

so we're really looking for the equation of a line whose slope is 3 and passes through (1 , 10)

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{10})\qquad \qquad \stackrel{slope}{m}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{3}(x-\stackrel{x_1}{1}) \\\\\\ y-10=3x-3\implies y=3x+7[/tex]

Answer:

A=0

B=2

so we have our question, h (x) x^3, x<0.

a is equal to 0 since that answer was already given.

so now it would be srqt/x over 0 of 4

4 divided by 0 is 0

1/2x x>4

turns into 1/2x x>4/1

cross simplify

the answer to B is 2

Answer:

a=0

b=2

Step-by-step explanation:

Answer:

5539 or 1764[tex]\pi[/tex]

Step-by-step explanation:

to find the area, we need the radius

The radius(R) is half of the diameter(D)

R = D/2

R = 42/2

R = 21

area of a circle(A) = pi x radius[tex]^{2}[/tex]

A = pi( which most times in a problem, equals 3.14) x 42[tex]^{2}[/tex]

A = 3.14 x 1764

A = 5538.96

A(when rounded) = 5539

Answer:

A

Step-by-step explanation:

Using the percentage concept, it is found that 33.33% of the students scored 650 or higher in the mathematical portion of the SAT.

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

Researching the problem on the internet, it is found that of the 15 students, 5 scored 650 or higher in the mathematical portion of the SAT, hence the percentage is given by:

[tex]P = \frac{5}{15} \times 100\% = 33.33\%[/tex]

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Answer:

4 : 10

Step-by-step explanation:

Answer:

2/7

Step-by-step explanation:

there's seven parts in green (2 yellow and 5 blue)

two of them are yellow

so 2/7 is the fraction

(seven is prime so it's already in simplest form.)

Answer:

1.99 x 10 ^20 N

Step-by-step explanation:

Just substitute in the values given

F = (6.67x 10^-11) * (5.97x10^24)(7.36 x 10^22)  / ( 3.84 x 10^8) ^2

  = 1.99 x 10^20  N

Answer: False

Step-by-step explanation: right triangles need two equal angles and one different.

The equation cos (α - β) × cos (α + β) ≠ cos² α - cos² β. Then the given equation is incorrect.

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

The equation is given below.

cos (α - β) × cos (α + β) = cos² α - cos² β

Then show whether the equation is correct or incorrect.

Taking the left-hand side, then we have

[tex]\cos(\alpha-\beta)*\cos(\alpha +\beta) = (\cos \alpha \cos\beta + \sin \alpha \sin \beta ) (\cos \alpha \cos\beta - \sin\alpha \sin\beta )\\\\\cos(\alpha-\beta)*\cos(\alpha +\beta) = \cos ^2 \alpha \cos ^2\beta - \sin ^2 \alpha \sin ^2\beta[/tex]

The left-hand side does not equal to the right-hand side.

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A solution exists for constructing a triangle given two sides and the included angle if the triangle inequality theorem is satisfied

We have to draw a line segment to represent one of the given sides of the triangle.

From one endpoint of the line segment, use a protractor to measure the given angle. Mark this angle on the line segment.

Using a compass, set the compass to the length of the other given side of the triangle.

With the compass centered at the endpoint of the line segment, draw an arc that intersects the angle on the line segment.

Draw a line connecting the endpoint of the line segment to the point where the arc intersects the angle.

This line represents the second side of the triangle.

Finally, draw a line connecting the two endpoints of the sides you have constructed. This line completes the triangle.

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Using the line of best fit, it is found that the prediction of the forearm length of a man whose height is of 72 in is of 19.417 in.

It states that the predicted forearm length of a person of height x is given by:

y = -0.2967 + 0.2738x.

In this problem, the height is of x = 72 in, hence:

y = -0.2967 + 0.2738(72) = 19.417 in.

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Answer:

x = -5

Step-by-step explanation:

2x = -10 <== divide both sides by 2

/2      /2

x = -5

Check your work:

2x = -10

2(-5) = -10

-10 = -10

This statement is true

Hope this helps!

[tex]\text{Given that,}~ (x_1,y_1) =(-3,2)~ \text{and}~ (x_2 ,y _2) = (3,7)\\\\\text{Slope,}~ m = \dfrac{y_2 -y_1}{x_2 -x_1}\\\\\\~~~~~~~~~~~~=\dfrac{7-2}{3-(-3)}\\\\\\~~~~~~~~~~~~=\dfrac{5}{3+3}\\\\\\~~~~~~~~~~~~=\dfrac 56[/tex]

Answer: 5.25

Step-by-step explanation:

Solve using PEMDAS,

(7 + 1)2 – (11 + 32) ÷ 4

(8)2 - (43) ÷ 4

16 - 10.75 = 5.25

Answer:

17

Step-by-step explanation:

→ f(x) = 3x + 2

→ f(5) = 3(5) + 2

→ 15 + 2

→ 17 is the answer.

Answer:

F(5) = 17

Step-by-step explanation:

to solve, we just need to plug all values of x into 5 as shown

f(x) = 3x + 2
f(5) = (3*5) + 2

then following the format of PEMDAS (explained at footer) we solve the new equation

f(5) = (3*5) + 2
f(5) = 15 + 2
f(5) = 17

therefor F(5) is equal to 17

The PEMDAS format of solving equations:

the term Pemdas stands for the steps involved in solving an equation
Parenthasis (follow PEMDAS within these ( ) first untill in simplest form)
Exponents (such as x^y)
Multiply (any multiplication)
Devide (any devision)
Addition (any addition)
Subtraction (any subtraction)

hpe all this helps you ^^

Answer:

164+3.28

Step-by-step explanation:

(16.4)(10)+(16.4)(0.2)

164+3.28

167.28

Answer:

I don't see a circle graph. Add one and ill edit this answer

Step-by-step explanation:

Add

the

image.

Step-by-step explanation:

this isn't a graph of a function, this is just a series of plotted points.

Answer:

Step-by-step explanation:

Finding max/min: There are two ways to find the absolute maximum/minimum value for f(x) = ax2 + bx + c: Put the quadratic in standard form f(x) = a(x − h)2 + k, and the absolute maximum/minimum value is k and it occurs at x = h. If a > 0, then the parabola opens up, and it is a minimum functional value of f.

Total times die rolled =10+6+4+8+6+6=40

Times 3 and 6 appears

Experimental probability

P(3 or 6)

Answer:

[tex]\sf \dfrac{1}{4}[/tex]

Step-by-step explanation:

Experimental probability

Calculated by dividing the number of times an event happens by the total number of trials in an actual experiment.

[tex]\textsf{Experimental Probability} = \dfrac{\textsf{Number of times an event happens}}{\textsf{Total number of trials}}[/tex]

Total number of trials = 10 + 6 + 4 + 8 + 6 + 6 = 40

Total number of times rolling a 3 or a 6 = 4 + 6 = 10

[tex]\textsf{Experimental Probability of rolling 3 or 6} = \sf \dfrac{10}{4}=\dfrac{1}{4}[/tex]

The predicted height is close to the actual height of the plant by 0.69 cm

The equation of the height function of the plant is given as:

y = 1.44x + 1.55

The height on day 7 is calculated as:

y = 1.44 * 7 + 1.55

Evaluate

y = 11.63

The recorded height is given as 12.32

The residual is calculated as:

Residual = Recorded - Predicted

So, we have:

Residual = 12.32 - 11.63

Evaluate

Residual = 0.69

Hence, the predicted height is close to the actual height of the plant by 0.69 cm

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Answer:

Answer = 6^7

Step-by-step explanation:

When multiplying expressions with exponent you add the exponents together. So here you would get 6^13/6^6. However you can simplify this farther since the base (6) is the same. When dividing expressions with exponents you subtract the exponents so the the answer would be 6^7.

Hope that helps! :)

Answer:

me too a I don't understand

With the given scale factor, The cost to refinish the larger wood floor is $204

The scale factor is given as:

Scale factor = 4 : 3

This means that:

x : 153 = 4 : 3

Where x represents the cost to refinish the larger wood floor

Express as fraction

x/153 = 4/3

Multiply both sides by 153

x = 204

Hence, the cost to refinish the larger wood floor is $204

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Answer:

Step-by-step explanation: