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andrezito
15 days ago
6

leo, Kush and Mai share some money in the ratio 3 : 5 : 8. Kush receives £750 more than Leo. Calculate the total amount of money

that they shared?
Mathematics
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A rocket was launched into the air from a podium 6 feet off the ground. The rocket path is represented by the equation h(t)=-16t
lawyer [12517]

Answer:

60

Step-by-step explanation:

The function provided is:

h(t)=-16t^2+120t+6

The average rate of change of h(t) as time goes from t=a to t=b is expressed as:

\frac{h(b)-h(a)}{b-a}

This function can be reformulated as: h(t)=-16(t-3.75)^2+231

The rocket's peak height is 231, which occurs at t=3.75 seconds.

\implies h(3.75)=231

The initial launch happens at: t=0

and h(0)=-16(0)^2+120(0)+6=6

The average rate of change from launch to max height is

\frac{h(3.75)-h(0)}{3.75-0}=\frac{231-6}{3.75-0} =60

6 0
3 months ago
The equation of a circle is x2 + 8x + y2 - 12y = 144. What are the coordinates of the center and the length of the radius of the
Inessa [12570]

Answer:

The center of the circle is at the coordinates (-4,6).

The radius measures 14 units.

Step-by-step explanation:

The general formula for a circle is as follows:

(x - x_{0})^{2} + (y - y_{0})^{2} = r^{2}

Where r denotes the radius and the center is specified at (x_{0}, y_{0})

Specifics for this question:

We need to complete the squares to convert the equation into its standard format:

So

x^{2} + 8x + y^{2} - 12y = 144

To complete the squares, each first degree term (8 and -12) is divided by two, yielding new terms (4 and -6). This allows us to express it as the square of (x+4) and (y-6). To balance the equation, we must incorporate the squares of 4 and -6 on the opposite side.

(x+4)^{2} + (y-6)^{2} = 144 + (4)^{2} + (-6)^{2}

(x+4)^{2} + (y-6)^{2} = 196

The center is located at the coordinates (-4,6).

The length of the radius is \sqrt{196} = 14

4 0
3 months ago
The histogram represents ages of 40 people at a store that sells children's clothes. Which interval contains the median? Histogr
AnnZ [12381]
Choice C.
4 0
2 months ago
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