PLEASE HELO ASAP

The populations of Cities A and B are 3.7 x 105 and 2,115,000, respectively. The population of City C
is twice the population of City B. The population of City C is how many times the population of City A?

Answer:

 D. The slingshot reaches a greater height at 150 feet, which is the vertex of the parabola.

Step-by-step explanation:

First let's examine the given equations

[tex]\displaystyle \rm\\(x -70)^2 + (y-77)^2 = 5184 ............. (1)\\y = -4x^2 + 40x + 50 ............... (2)[/tex]

Equation (1) is of the form of a standard equation for a circle
[tex]\displaystyle \rm (x-a)^2 + y-b)^2 = r^2\\\\[/tex]

where (a, b) is the center of the circle and r is the radius

Equation (2) is the standard equation of a parabola
y = ax² + bx + c where a, b and c are constant

So we know that the Ferris wheel motion is circular while the slingshot motion is parabolic

Let's compute the highest point at which the Ferris wheel reaches.

Given,  

[tex]\displaystyle (x-70)^2 + (y-77)^2 = 5184[/tex]
We can see that r² = 5182 by comparing it to the circle equation[tex]\displaystyle x_v=-\dfrac{40}{2\left(-4\right)}[/tex]

Therefore r = √5184 = 72. The diameter = 144 which is the highest point vertically from the center of the circle

The highest point on the circle = 144 + 5= 149 m since there is a 5' gap between the Ferris wheel and the ground at the lowest point so that has to be taken into account

For the parabola the vertex is the highest point and its x-coordinate given by   [tex]\displaystyle \dfrac{-b}{2a}[/tex]    in the standard equation for a parabola

Comparing the given equation with the standard equation we see that a = -4, b = 40 and c= 50

Therefore [tex]x_v[/tex] the x-coordinate of the vertex:
[tex]\displaystyle x_v=-\dfrac{40}{2\left(-4\right)} = 5[/tex]

The y coordinate of the vertex can be found by plugging in this value into the parabolic equation

[tex]\displaystyle y_v=-4\cdot \:5^2+40\cdot \:5+50 = 150[/tex]

This being the vertical coordinate of vertex of the parabola, the highest point that the slingshot reaches is 150'

So correct answer is D

Answer: y = 5/4x + 2

Step-by-step explanation:

Answer:

1)112°

2)68°

3)90°

4)90°

5)22°

6)158°

Step-by-step explanation:

Answer:

1. 112º

2. 68º

3. 90º

4. 90º

5. 22º

6. 158º

Step-by-step explanation:

4 - vertical angle to 90º

3 - supplementary to 90º, 180º - 90º = 90º

2 - vertical angle to 68º

1 - supplementary to 68º

5 - all angles in a triangle add up to 180, 180º - 90º - 68º = 22º

6 - supplementary to 22º

Answer:

Step-by-step explanation:

Given the equation solved by Lian expressed as;

s  + 40 = 68

Lian is to find the value of s from the equation, to do that you will follow the steps below;

Step 1: Substract 40 from both sides of the equation;

s  + 40 - 40 = 68 - 40

Step 2: Solve for s;

s  + 40 - 40 = 68 - 40

s + 0 = 68 - 40

s = 28

Based on the calculation, we can say that Lian made no mistake when solving

Answer:

D, no mistake.

Step-by-step explanation:

Answer:

B. slope: -1/2 , y-intercept: 1

rise over run. go down one, means a negative 1. too the right twice, means positive 2. y-intercept is obvious, it's just the point in which the line intercepts the y-axis.

Answer:

27

Step-by-step explanation:

Answer:

M TO L

Step-by-step explanation:

Its right there.

Answer: L

Step-by-step explanation:

Answer:

A) 75 students

Step-by-step explanation:

30 students = 40%

so 100% = 75

Answer:

Answer:

Top right: quadrant 1

Top left: quadrant 2

Bottom left: quadrant 3

Bottom right: quadrant 4

The first number of an ordered pair is the x axis, and the second is the y axis

A: 10,3 quadrant 4

B:8, 9 quadrant 2

c: 3,2 Q 3

D: 4,0 Q4

E:4,7 Q3

F: 8,7 Q1

G: 0,7 Q4

H: 1,5 Q1

Answer:

A

Step-by-step explanation:

The actual miles calculated for the given scale of a map is 126 miles.

It is a technique that determines the value of a single unit through subtracting the significance of multiple units from the value of a single unit.

Now, the given question;

The scale of a map is 3 ft = 84 miles

Using unitary method for solving this.

Convert the value for 1 foot.

1 foot  = 84/3 miles = 28 miles.

Now, calculate the value for the map of 4.5 ft.

4.5 feet = 28×4.5 miles

4.5 feet = 126 miles

Therefore, the value for map of 4.5 feet is estimated as 126 miles.

To know more about unitary method, here

brainly.com/question/23423168

#SPJ9

Answer:

B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I just put the first one in desmos to see if it was the same

Answer:

43 inches

Step-by-step explanation:

Accumulation rate per hour = 0.8 inch / hour

If the snow continues at that rate for 54 hours ;

To obtain the amount of snow that will accumulate, we multiply the Accumulation rate per hour by the number of hours given ;

Accumulation rate per hour * number of hours

= 0.8 inch/hour * 54 hours

= 43.2 inches

= 43 inches (nearest whole number)

Answer: B is the answer yup B

Answer:

3

Step-by-step explanation:

21.18-17.92=3.26

Rounded its 3

Answer:

it is 6

Step-by-step explanation:

Answer:

x>-15/4

Step-by-step explanation:

1/3(6/8+1/2x)>-3/8

3/4 + 1/2 x>- 9/8

6+4x>-9

4x>-9-6

4x>-15

x>-15/4

Answer:

The length of the pool is 462 m.

Step-by-step explanation:

The length of the pool is 462 m. We know this is the answer because, if we plug in the known width and known perimeter into the equation for the perimeter of a rectangle, we get:

73 * 462 = 336

Therefore, the length of the pool is 462 m.

Answer:

C

Step-by-step explanation:

Here, we want to interpret what is meant by m(10) = k

Originally M(n) represents the fee in dollars for an nth drive

So M(10) will represent the fee in dollars for the 10th drive and is equal to K dollars

Correct option is C

Answer:

It's option 2

Step-by-step explanation:

parallel to the x-axis basically means that it mirrors the x-axis since parallel lines have the same slope. since the question wants the graph with the line that is also below the x-axis, the correct graph would be option 2

Answer:

Option 2 is parallel to the x axis because only option 1 and 2 are a line across and option 1 is 3.2 units above.

Answer:

[tex]y=\frac{1}{2}x+6[/tex] and [tex]y=5x+8[/tex]

Step-by-step explanation:

The big thing to remember with this is that parallel lines have the same slopes. We can isolate the y-variable in both of these to get the slope-intercept form, which just makes it easier to see the slope.

a. 3x-6y=12

[tex]-6y=-3x+12\\y=\frac{1}{2}x-2\\[/tex]

Now that we know the slope, we can have any y-intercept except for the original one, they just need to have the same slope. So an equation that could work is [tex]y=\frac{1}{2}x+6[/tex].

b. 5x-y=10

This equation can be solved in the exact same way.

[tex]-y=-5x+10\\y=5x-10[/tex]

Parallel line: [tex]y=5x+8[/tex]

Again, it does not matter what the y-intercept is, they just can't have the same one. The slopes have to be the same.

Hope this helps!

Answer:

I'm not sure what you mean but I will solve for everything

2y = 24 - 5x

y = -(5/2)x + 12

y int. = 12

slope is -5/2

x int = 24/5

I get it now

slope int. form is y = mx + b where m is -5/2 and b is 12

Answer:

what?

Step-by-step explanation: