Sonya made a graph showing the first ten minutes of her drive to the movies. A graph with time on the x-axis and speed on the y-axis. The graph increases, increases rapidly, and then remains constant. Which description is the best interpretation of the graph? Sonya left her house and accelerated as she drove toward the highway entrance. She increased her speed as she drove up the ramp to the highway and then drove a constant speed on the highway. Sonya backed out of her driveway at a constant speed and then accelerated until she reached the street where the movie was playing. She stopped the car. Sonya drove down her driveway at a constant speed until she reached the street. She turned and drove down the street at a constant speed. Her car went slower as she drove up a hill. At the top of the hill she drove into the parking lot of the movie theater. Sonya accelerated as she drove down her driveway. She accelerated on the street on her way to the highway entrance. She waited for a red light, then accelerated onto the highway.

Answer:

51 mph

Step-by-step explanation:

→ The first thing we need is a formula which links speed, distance and time so,

Speed = Distance ÷ Time

Speed = mph

Distance = metres/miles

Time = hours

→ Since we want to work out the average speed of the entire journey we need to first work out the total distance and total time. Using the first sentence of the paragraph, it says that the car travels at an average speed of 45 mph for 40 minutes, we can rearrange the formula to work out the distance so,

Speed = Distance ÷ Time

→ Rearrange to get distance as subject

Distance = Speed × Time

→ Substitute in the values

Distance = 45 × 40

→ Remember that the time is hours but we substituted in minutes so we divide the time value by 60

40 ÷ 60 = 0.666666667

→ Substitute in the time value multiplied by the speed

Distance = 45 × 0.666666667 = 30

⇒ 30 metres/miles is overall distance for the first part of the journey

→ Now we have to work out the distance for the second part of the journey. State the distance formula.

Distance = Speed × Time

→ Substitute in the values into the distance formula

Distance = 60 × 25

→ Remember that the time is hours but we substituted in minutes so we divide the time value by 60

25 ÷ 60 = 0.416666667

→ Substitute in the time value multiplied by the speed

Distance = 60 × 0.416666667 = 25

⇒ 25 metres/miles is overall distance for the second part of the journey

→ Now we have to add the distance of both the journeys together

25 + 30 = 55

→ Then we add the times of the journey together

40 minutes + 25 minutes = 65 minutes

→ Convert 65 minutes into hours

65 ÷ 60 = 1.08333 hours

→ Substitute both values into the speed = distance ÷ time formula

Speed = 55 ÷ 1.08333 = 50.76923077

→ The question says to round it to the nearest whole number so,

50.76923077 = 51 mph

Answer:

We can write:

x + y = -2

xy = -80

We can rewrite the first equation as x = -y - 2 and then plug that into the second equation to get (-y-2) * y = -80 → -y² - 2y = -80 → y² + 2y - 80 = 0 → (y - 8)(y + 10) = 0 → y = 8, -10. Substituting these values into the first equation we get x = -10, 8 so the answer is (x₁, y₁) = (-10, 8) or (x₂, y₂) = (8, -10).

Answer:

Please refer to the attached image in the answer area.

Step-by-step explanation:

The given inequality is:

[tex]0.3(x -4) > -0.3[/tex]

To find:

The graph of inequality on the number line.

Solution:

First of all, let us simplify the inequality.

[tex]0.3(x -4) > -0.3[/tex]

Dividing it with 0.3 on the both sides:

[tex]x -4 > -1\\\text{Adding 4 on both sides}\\\Rightarrow x > 3[/tex]

i.e. all the values x > 3 will be our solution. There is no equal sign in the inequality so 3 will not be included in the solution.

Please refer to the attached image for the solution graph of the given inequality.

3 has an empty circle drawn over it which signifies that 3 is not included in the solution set.

Red line shows that all the values greater than 3 are included in the solution.

Answer:

D)

Step-by-step explanation:

a number: n

difference of 17 and a number: 17 - n

4 times the difference of 17 and a number: 4(17 - n)

4 times the difference of 17 and a number is 84: 4(17 - n) = 84

Answer:

The expression in standard form is -3 + 6i

Step-by-step explanation:

Writing complex equation in standard form we have;

-3 + yi = x + 6i

We transfer the real and imaginary parts to be on different sides of the equation as follows;

yi - 6i = x + 3

We factorize the imaginary part;

i(y-6) = x + 3

We note that the real portion on the left hand side of the equation is zero, therefore, we have;

i(y-6)  + 0= x + 3

x + 3 = 0

Therefore, x = -3

Substituting the value of x in the first equation, we have;

-3 + yi = -3 + 6i

Comparing gives;

y = 6

The expression in standard form is -3 + 6i.

Explanation:

Here is our take on the proof shown in the problem statement. The missing statements and reasons are shown in bold.

Statements  Reasons

1. △ABC is isosceles with legs AB and AC; △AYX is also isosceles with legs AY and AX. 1. given

2. AB ≅ AC and AY ≅ AX  2. definition of isosceles triangle

3. AB = AC and AY = AX  3. definition of congruency

4. AY • AC = AX • AC  4. multiplication property of equality

5. AY • AC = AX • AB  5. substitution property of equality

6. AY • AC/AX = AB  6. division property of equality

7. AC/AX = AB/AY  7. division property of equality

8. Corresponding sides are proportional  8. Definition of proportional

9. △ABC ~ △AYX  9. SAS similarity theorem

_____

The reason given in statements 6 and 7 suggest you need to divide something. For SAS similarity, you need to show corresponding sides are proportional. The missing steps are to get to the point where you can say that.

Answer:

I think its A. ∠A ≅ ∠A; reflexive property

Step-by-step explanation:

Answer:

x = 20

Step-by-step explanation:

Since the triangles are congruent then corresponding angles are congruent, that is

∠ A = ∠ D , thus

3x - 10 = 2x + 10 ( subtract 2x from both sides )

x - 10 = 10 ( add 10 to both sides )

x = 20

Answer:

9

Step-by-step explanation:

Since he only has to buy one pound of chocolate to make it a berry chocolate mix, he can just put 9 pounds of berries into it. Why would he want to break even? Make some profits grocer or you are not going to be in that house for very long.

Answer:

2869

Step-by-step explanation:

7,840 - 4,971

Subtract.

= 2869

Answer:

0 2,869

hopefully this helped :3

it is 9

and it is also 54

Answer:

3 and 63.

Step-by-step explanation:

The sequence formula is [tex]\frac{3n(n+1)}{2}[/tex].

Resulting in a sequence of 0, 3, 9, 18, 30, 45, 63.

Answer:

i think maybe 5 routs or 7

Step-by-step explanation:

there are diffrent ways to get to rides

There are total 120 possible routes available.

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items, where the order of the selection does not matter.

Given that, You are planning a trip to Disney World and you want to get through these five rides the first day: Space Mountain, Tower of Terror, Rock 'n' Roller Coaster, Mission Space, and Dinosaur.

Since, there are 5 five ride, so possible rides = 5!

= 5x4x3x2x1

= 120

Hence, There are total 120 possible routes available.

For more references on combinations, click;

https://brainly.com/question/19692242

#SPJ3

Answer:

No solutions

Step-by-step explanation:

4 + 4x - 3 = 4x + 5

4x + 1 = 4x + 5

Add -4x and -1 on both sides.

4x - 4x = 5 - 1

0 = 4

There are no solutions.

Answer:

521

Step-by-step explanation:

Composite figure.

Draw a straight down from C to line segment AB. This forms a triangle.

Now, the area of this figure=

Area of semicircle+area of rectangle+ area of triangle.

Rectangle area formula = l times w

Length - 20

Width =14

14 times 20 = 280

Area of rectangle = 280

Semicircle area = area of circle/2

Area of circle = π[tex]r^2[/tex]

Diameter =20= 2r

r=10

π[tex]r^2[/tex]= π 10^2 =100π

100 times 3.14 =314

314/2 = 157

Area of semicircle = 157

Area of triangle= bh/2

Triangle's base= 32-20=12

Triangles height = 14

14 times 12 = 168

168/2 = 84

Area of triangle: 84

Area of semicircle+area of rectangle+ area of triangle.

157+280+84 =521

Answer:

None (0)

Step-by-step explanation:

x = x - 9

-x   -x

0 = -9

No solution

Answer: -8/-4

Step-by-step explanation:

When a negative integer gets divided my another negative integer, it results in a positive number. This means that we can eliminate all the negative symbols in this problem

18/9 = 2

Now all is left to determine which other expression is equivalent to 2

In the expression -10 / 5, since there is only one negative symbol, the postulate for negative number division states that two negative integers makes a positive number, and there is one negative integer and one positive whole number.

18/2 = 9 = incorrect

12/3 = 4 = incorrect

-10/5 = -2 = incorrect

8/4 = 2 = correct

So the expression -8/-4 is equivalent to the expression -18/-9

Answer:

Its D

Step-by-step explanation:

took the test its right, yw

Answer:

2:55. That's Two hours and 55 minutes.

Step-by-step explanation: From 8:20 to 11:20 would be three hours. But the actual time is five minutes less. There are 60 minutes in one hour. So change one hour to 60 minutes and subtract 5 minutes.

2:60 - :05 = 2:55

Answer:

2 hours and 55 minutes

Step-by-step explanation:

Take 11:15 and subtract 8:20

11 : 15

-8:20

------------

We need to borrow from the hours

11 becomes 10 and 1 hour = 60 minutes so add 60 to the 15

10 :75

-8:20

------------

2: 55

This is 2 hours and 55 minutes

Answer:

The correct option is option (3) 4 ÷ 25.

Step-by-step explanation:

The expression in terms of m and n is:

[tex]F(m,n)=[\frac{2m^{-1}n^{5}}{3m^{0}n^{4}}]^{2}[/tex]

Exponent rule of division:

[tex]a^{x}\div a^{y}=a^{x-y}[/tex]

Compute the value of the expression for m = -5 and n = 3 as follows:

[tex]F(m,n)=[\frac{2m^{-1}n^{5}}{3m^{0}n^{4}}]^{2}[/tex]

[tex]F(-5,3)=[\frac{2\csdot (-5)^{-1}\cdot (3)^{5}}{3\cdot (-5)^{0}\cdot (3)^{4}}]^{2}[/tex]

             [tex]=\{\frac{2}{3}\times [(-5)^{-1-0}\times (3)^{5-4}}]\}^{2}\\\\=\{\frac{2}{3}\times \frac{-1}{5}\times 3\}^{2}\\\\=\{-\frac{2}{5}\}^{2}\\\\=\frac{4}{25}[/tex]

Thus, the correct option is option (3) 4 ÷ 25.

Answer:

4/25

Step-by-step explanation:

I just did the test

Answer:

D.(-4,-8) and(2,4)

Step-by-step explanation:

y=-2x

y=x²-8

this means that the two equations are equal because they both add up to y

thus; x²-8=-2x

formulae=Ax²+bx+c=0

x²+2x-8=0

find two numbers which multiplied will give you x² and when added will give you 2x that is x and x

x²+x+x-8=0

x(x+1)+1(x-8)=0

(x+1)(x-8)=0

1)x+1=0. x= -1

1)y=-2x

y=-2(-1)=2

y=2

2)y=x²-8

y=1²-8= -8

y= -8

note*this means that the answer should have both 2 and -8 thus d is the answer

Answer:

Step-by-step explanation:

the translation of y = |x| 2.5 units to the left is:

y = |x+2.5|

Answer:

The point (0, 0) in the graph of f(x) corresponds to the point (4, -7) in the graph of g(x)

Step-by-step explanation:

Notice that when we start with the function [tex]f(x)=x^3[/tex], and then transform it into the function: [tex]g(x)=(x-4)^3-7[/tex]

what we have done is to translate the graph of the function horizontally 4 units to the right (via subtracting 4 from the variable x), and 7 units vertically down (via subtracting 7 to the full functional expression).

Therefore, the point (0, 0) in the first function, will now appeared translated 4 units to the right (from x = 0 to x = 4) and 7 units down (from y = 0 to y = -7).

then the point (0, 0) after the translation becomes: (4, -7)

Answer:4, -7

Step-by-step explanation:

Answer:  

Step-by-step explanation:

Concentration            Amount of             Amount

of Solution                   Solution (L)             of Acid

    15%                                x                         0.15x

    33%                               y                         0.33y

    21%                              40                      0.21•40      

x + y = 40    ⇒  x = 40 - y

0.15x + 0.33y = 0.21•40

0.15(40 - y) + 0.33y = 0.21•40

6 - 0.15y + 0.33y = 8.4

  0.18y = 2.4

        y = 13¹/₃

x = 40 -  13¹/₃ = 26²/₃

Answer:

4x – 3 + 2x = 33

6x = 36

x = 6

D. x = 6

Answer:

5 cm

Step-by-step explanation:

We khow that the altitude of this triangle is 1cm shorter than the base

that's a quadratic equation . Let's calculate the dicriminant .

Let Δ be the dicriminant

We have a negative value and a positive one

The altitude is a distance so it can't be negative

H= 5cm

Answer:

An object balances itself when a perpendicular line drawn through its Centre of Gravity (CG), passes through its base.

See the picture of a popular toy given below. The horse, the rider and the ball are all joined together as one single unit. This entire unit is balanced on the thin black rod shown. At which of the indicated positions, could the Centre of Gravity (CG) of the horse, rider and ball unit be?

July 10 book Science up55 down8

AA BB

CC DD

Step-by-step explanation:

Answer:

The answer is d. none of the above

Step-by-step explanation:

59= 1,59

62= 1, 2, 31, 62

Common factors= 1

HCF = 1

I hope this helps.

Answer:

13.6

Step-by-step explanation:

Since it is asking for 1 decimal place, we assume that it is the tenths decimal place. Since the hundredths decimal place is ≥5, we round up to 6.

There is no such thing as ones in decimals, so I am assuming you mean tenths. If you were to round this to the tenths place, the answer would be 13.6.

13.555 → 13.6 (4 and below, leave it alone. 5 and up, round it up)\

Hope this helps!

Answer:

Step-by-step explanation:

A∩B={x| x∈a and x∈B}

a) A∩B={4,6}

b) A∩B={ 4,9}

c) A∩B={yellow,green}

Answer:

Z.

Step-by-step explanation:

A function must pass the Vertical Line Test. No 2 y-values can have the same x-values. Since the first 3 graphs fail to pass the vertical line test, our answer is Z.

Answer:

m∠1 = 145°

m∠3 = 35°

m∠4 = 145°

m∠5 = 145°

m∠6 = 35°

m∠7 = 35°

m∠8 = 145°

Step-by-step explanation:

In the picture attached,

line 'm' and line 'l' are the parallel lines and another line intersects these lines is a transverse.

m∠2 = 35°

Since ∠1 and ∠2 are supplementary angles,

m∠1 + m∠2 = 180°

m∠1 + 35° = 180°

m∠1 = 180° - 35°

m∠1 = 145°

∠1 ≅ ∠4 [Vertical angles]

m∠1 = m∠4 = 145°

∠2 ≅ ∠3 [Vertical angles]

m∠2 = m∠3 = 35°

∠3 ≅ ∠6 [Interior alternate angles]

m∠3 = m∠6 = 35°

Similarly, ∠4 ≅ ∠5 [Interior alternate angles]

m∠4 = m∠5 = 145°

∠6 ≅ ∠7 [Vertical angles]

m∠6 = m∠7 = 35°

Answer:

23 años

Step-by-step explanation:

Para resolver la situación, consideremos que x es la edad de la persona. Sabemos que dentro de seis años esta tendrá el doble de la edad que tenía hace cuatro años. La edad dentro de 6 años se puede expresar como x+6 y esto será igual al doble de la edad que tenía hace cuatro años, lo que se puede expresar como 2(x-4). De acuerdo a esto:

x+6=2(x-4)

x+6=2x-8

6+8=2x-x

x=14

Ahora que sabemos que la edad de la persona es 14 años, le sumamos 9 y esto da como resultado 23 y esta es la edad que la persona tendrá en 9 años.

Answer:

The value of the car after two years is $14,100.025

Step-by-step explanation:

Here, we want to calculate the value of a car after its second year, given the depreciation percentage.

To get the value of the car year after year at the fixed percentage level, what we do is to set up an exponential equation;

V = I(1-r)^t

where V is the present value

I is the initial value = $25,000

r is the rate = 24.9% = 24.9/100 = 0.249

t is the number of years = 2 in this case

So we substitute these values in the depreciation case and have;

V = 25000(1-0.249)^2

V = 25000(0.751)^2

V = $14,100.025