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3 years ago

Please help me with this question!!

Mathematics

1 answer:

KonstantinChe [14]3 years ago

3 0

Answer:

y=8(0.5)^x

Step-by-step explanation:

We can find the value of b, which is the rate. The rate is 0.5 because the y value is consistently going down by 2. A is the first value, which is 8. y=8(0.5)^x

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What constant do you need to add to each quadratic to complete the square?

babunello [35]

Answer:

1. 4

2. 16

3. 9

Step-by-step explanation:

Completing the square requires a quadratic in $ax^2+bx=c$ form. Once in this form, calculate $(\frac{b}{2})^2$ .

1. $(\frac{b}{2})^2=(\frac{-4}{2})^2=4$

2. $(\frac{b}{2})^2=(\frac{-8}{2})^2=16$

3. Requires you divide everything by 3 first.

$\frac{3x^2+18x}{3} =\frac{249}{3} \\x^2+6x=81$

$(\frac{b}{2})^2=(\frac{6}{2})^2=9$

6 0

3 years ago

A Ship travels at a steady Speed.

SpyIntel [72]

Answer:

speed=24km/h or 6.67m/s

Step-by-step explanation:

Given data:

time taken = t =43 hours

distance covered = d = 1032 km

to find:

speed of the ship = v =?

solution:

as we know that speed is defined as the distance covered by an object in unit time.Formula

speed = distance covered /time taken

speed = 1032km/43hours

speed =24km/h or in international system of units the answer is 6.67m/s

4 0

4 years ago

The 40th parallel of north latitude runs across the United States through Philadelphia, Indianapolis, and Denver. At this latitu

Ronch [10]

Answer:

793.25 mi/hr

Step-by-step explanation:

Given that:

The radius of the earth is = 3030 miles

The angular velocity = $\dfrac{\pi}{12} rads$

If a jet flies due west with the same angular velocity relative to the ground at the equinox;

We are to determine the How fast in miles per hour would the jet have to travel west at the 40th parallel for this to happen.

NOW;

Distance s is expressed by the relation

s = rθ

$s = 3030(\frac{\pi}{12} )$

s = 793.25

The speed which depicts how fast in miles per hour the jet would have traveled is :

$speed (v) = \frac{s}{t}$

$v = \frac{793.25}{1}$

v = 793.25 mi/hr

Hence, the jet would have traveled 793.25 mi/hr due west at the 40th parallel for this to happen.

7 0

3 years ago

HELP FAST PLEASE!!!

Alisiya [41]

Answer:

$y = -0.75x + 9.5$

Step-by-step explanation:

Equation of a circle is given as :

$(x-a)^{2} + (y-b)^2 = r^{2} \\(x-6)^{2} + (y-5)^2 = 4^{2}\\x^{2} - 12x + 36 + y^{2} -10y + 25 = 16\\x^{2} - 12x + y^{2} -10y + 45 = 0\\$

Take the derivative of the above with respect to x

$2x - 12 + 2y dy/dx - 10 dy/dy = 0\\\frac{dx}{dy} = \frac{6 - x}{y-5} \\At (2,8) dy/dx = (6-2)/(8-5) = 4/3\\dy/dx = 4/3\\The slope of the tangent to the circle, m = \frac{-1}{dy/dx} \\m = \frac{-1}{4/3}\\m= -0.75$

The equation of the tangent is given by :

$y - y_{1} = m(x - x_{1})\\ y - 8 = -0.75(x - 2)\\y - 8 = -0.75x + 1.5\\y = -0.75x + 9.5$

8 0

3 years ago

Read 2 more answers

What is required to have a legally valid contract?

Olegator [25]

It typically just needs two parts
1) all parties must be in agreement
2) something of value needs to be exchanged. ie. money, a service

3 0

3 years ago