The points (6, -3) and (7, -10) fall on a particular line. What is its equation in point-slope form? Use one of the specified points in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.

Answer: For time t ≥ 0 hours, let r(t) = 120 1 − e−10t2 represent the speed, in kilometers per hour, at which a ()

car travels along a straight road. The number of liters of gasoline used by the car to travel x kilometers is −x 2

modeled by g(x) = 0.05x 1 − e . ()

(a) How many kilometers does the car travel during the first 2 hours?

(b) Find the rate of change with respect to time of the number of liters of gasoline used by the car when

t = 2 hours. Indicate units of measure.

(c) How many liters of gasoline have been used by the car when it reaches a speed of 80 kilometers per

  (a)

(b)

hour?

∫ 2 r (t ) dt = 206.370 kilometers 0

dg dg dx dx dt=dx⋅dt; dt=r(t)

2 : {1 : integral 1 : answer

3:{2:useschainrule

1 : answer with units

   dg dt

t=2

dg

= dx ⋅r(2)

x=206.370

= (0.050)(120) = 6 liters hour

    (c)

Let T be the time at which the car’s speed reaches 80 kilometers per hour.

Then, r(T ) = 80 or T = 0.331453 hours. At time T, the car has gone

x(T ) = ∫ T r (t ) dt = 10.794097 kilometers 0

and has consumed g(x(T )) = 0.537 liters of gasoline.

Answer:

Step-by-step explanation:

z = whole root (x^2 + 9)

Answer:

3 3/4 yards of ribbon my dudeeee

Answer:

oof

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

You always start with the equasions in parenthesis. 3-1 is 2 and 8 divided by 2 is 4. Then you can move on to the next part of the eqasion. You start by subtracting 2 from 5 and then multiplying that by 2.then you add up the answers and you gat 8.

Answer:

c.

Step-by-step explanation:

Answer:

-14

Step-by-step explanation:

X=2.5

Step-by-step explanation:

0.5=1/2

5/2 = 2.5

Answer:

x=20

Step-by-step explanation:

3x+15=4x-5

20=x

Answer:

whats the question??

Step-by-step explanation:

Answer:

A x<7/12 hope this helps

Answer:

--> (-7)+3 = -4

--> (-5) +1=-4

-->(-3)+(-1)=-4

Answer:

(x+3)x(x-2)

Step-by-step explanation:

Answer:

5/2

Step-by-step explanation:

(5/8) / (1/4) = 5/8 times 4

= 20/8 = 10/4 = 5/2

Answer:

5/2

Step-by-step explanation:

[tex]\frac{5}{8} *\frac{4}{1} =\frac{5}{2}[/tex] because you have to multiply by it's inverse

Answer:

The measure of angle x is 68°

Step-by-step explanation:

The isosceles triangle has two sides equal, the angle between these two sides is called the vertex angle, the other two angles are called the base angles and they are equal in measures

In the given figure

∵ An isosceles Δ has a vertex angle of measure 68°

∴ The other two angles are equal in measure ⇒ base angles

→ The sum of the measures of the interior angles of a triangle is 180°

∴ The sum of the measures of the base angles = 180° - 68°

∴ The sum of the measures of the base angles = 112°

→ Divide their sum by 2 to find the measure of each angle

∵ The measure of each base angle = 112° ÷ 2

∴ The measure of each base angle = 56°

∵ There are two intersected segments

∴ There is a pair of vertically opposite angles

∵ The other isosceles Δ has a vertex angle of measure x

∵ A base angle of the 1st Δ and a base angle of the 2nd Δ are vertically

   opposite angles

∴ They are equal in measure

∴ The measure of the base angle of the 2nd Δ = 56°

∴ The two base angles are equal in measure

∴ The measure of each base angle is 56°

→ The sum of the measures of the interior angles of a triangle is 180°

∵ 56° + 56° + x = 180°

∴ 112° + x = 180°

→ Subtract 112 from both sides

∴ x = 68

∴ The measure of angle x is 68°

Answer:

3^2

Step-by-step explanation:

You add the exponents when you multiply

Then you subtract them since you divided them.

Answer:

9

Step-by-step explanation:

3^8=6561

3^4=81

3^2=9

3^8=6561

so... 6561*81/9*6561 equals nine so your answer is 9.

Answer:

                      10^6*10000=10,000,000,000

Step-by-step explanation:

Answer: $30 and 1 cent more

$60.50 - $30.50 = $30

0.12 - 0.11 = 0.01

I hope this helps.

Answer:

14/8 = 1 3/4

48/9 = 5 1/3

Step-by-step explanation:

14/8 = 1 6/8

6/8 = 3/4

14/8 = 1 3/4

48/9 = 5 3/9

3/9 = 1/3

48/9 = 5 1/3

Answer: It is the None of them. If you see, one of the lines is Dotted, and one is solid. So, the Solid has either has ≤ or ≥ in it's equation. If the second option, and in the second option, the second equation has one of those signs, it would be correct, but it doesn't, so it's none of the above. I hope this didn't confuse you, and Happy Holidays! :)

Answer:

Step-by-step explanation:

i think the last number 2.50 is wrong, maybe is 2.4

total cost= 0.30 x number of miles

for the first 0.30*2=0.60

second 0.30*4=1.20

and so on

Answer:

.60 ÷ 2 = 0.3

1.20 ÷ 4 = 0.3

1.80 ÷ 6 = 0.3

2.50 ÷ 8 = 0.3125 so round it, and it equals 0.3

So are equation would be y ÷ x = 0.3

Answer:

21.66

Step-by-step explanation:

Answer:

Step-by-step explanation:

2a-7+15-5a

2a-5a-7+15

-3a+8

The expression which is equivalent to (2a - 7) + 5(3 - a) would be; -3a+8

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We have been given an expression as;

(2a - 7) + 5(3 - a)

Therefore, solving it further;

2a-7+15-5a

Combine the like terms;

2a-5a-7+15

Then we get;

-3a+8

Hence, the expression which is equivalent to (2a - 7) + 5(3 - a) would be; -3a+8

To know more about an expression follow;

brainly.com/question/19876186

#SPJ2

Answer:

# of sides [tex]{}[/tex]  Interior               One Interior Angle  Exterior           One

           [tex]{}[/tex]        Angle Sum                                          Angle Sum     Exterior Angle

14   [tex]{}[/tex]              2,160°                 154.3°                            360°           25.714°    

24    [tex]{}[/tex]            3,960°                165°                                360°            15°

8    [tex]{}[/tex]               1,080                 135°                                360°            45°

30    [tex]{}[/tex]            5,040                 168°                                360°            12°

12    [tex]{}[/tex]             1,800                  150°                                360°            30°

Step-by-step explanation:

Please find attached the table of values calculated with Microsoft Excel

From the given table, we have the formula for the following parameters;

Number of sides = n

Interior Angle Sum = 180×(n - 2)

Measure of ONE Interior = 180×(n - 2)/n        

Angle (regular polygon)  

Exterior Angle Sum = 360°

Measure of ONE Exterior = 360°/n

Angle (regular polygon)

1) When n = 14, we have;

The interior Angle Sum = 180×(14 - 2) = 2,160°

The measure of one Interior angle (regular polygon) ;  180×(14 - 2)/14 ≈ 154.3°

The exterior angle sum = 360°

The measure of one exterior angle (regular polygon) = 360°/14 ≈ 25.714°

2) When n = 24, we have;

The interior Angle Sum = 180×(24 - 2) = 3,960°

The measure of one interior angle (regular polygon);  180×(24 - 2)/24 = 165°

The exterior angle sum = 360°

The measure of one exterior angle (regular polygon) = 360°/24 = 15°

3) When the interior angle sum = 180×(n - 2) = 1,080°, we have;

n = 1,080°/180° + 2 = 8

n = 8

The measure of one interior angle (regular polygon);  180×(8 - 2)/8 = 135°

The exterior angle sum = 360°

The measure of one exterior angle (regular polygon) = 360°/8 = 45°

4) When the interior angle sum = 180×(n - 2) = 5,040°

n = 5,040°/180° + 2 = 30

n = 30

The measure of one interior angle (regular polygon);  180×(30 - 2)/30 = 168°

The exterior angle sum = 360°

The measure of one exterior angle (regular polygon) = 360°/30 = 12°

5) When the measure of one interior angle (regular polygon), 180×(n - 2)/n = 150°, we have;

180°·n - 2×180° - 150°·n = 0

30°·n = 360°

n = 360°/30° = 12

n = 12

The exterior angle sum = 360°

The measure of one exterior angle (regular polygon) = 360°/12 = 30°

Answer:

2nd option

Step-by-step explanation:

all triangles are 180 always. make a equation 2x+x+x+8 then combine like terms so it will be 4x+8 then divide by 4 on bith sides x=2

Answer:

8.2

Step-by-step explanation:

509.056/62.08

Answer:

D

Step-by-step explanation:

Notice how it goes down one unit and right one unit. Thats how you get the slope (-x) and then then the +9 is the intercept of the y-axis which you can see is where the graph is starting here.

Answer:

Step-by-step explanation:

7.49+6.21= 13.70

Answer:

5

Step-by-step explanation:

5(a+3)=40

5a+15=40

5a+15-15=40-15

5a=25

a=5