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dybincka [34]
1 year ago
6

Write a linear equation that has m=-4 and passes through (5,9)!

Mathematics
1 answer:
sladkih [1.3K]1 year ago
4 0

Answer:

y=-4x+29

Step-by-step explanation:

Using point-slope form,

y-9=-4(x-5) \\ \\ y-9=-4x+20 \\ \\ y=-4x+29

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Bridget drives at a speed of 60 miles per hour. How long will it take to drive 270 miles?
Mademuasel [1]

Answer:

4 hours and 30 minutes.

Step-by-step explanation:

270÷60=4.5

3 0
3 years ago
Read 2 more answers
During summer weekdays, boats arrive at the inlet drawbridge according to Poisson distribution at a rate of 3 per hour. In a 2-h
mrs_skeptik [129]

Answer:

The probability that no boats arrive is 2.48\times 10^{-3}.

Step-by-step explanation:

Poisson distribution:

Poisson distribution is a statistical distribution that helps to find out the probability of a certain is likely occur a specified period of time.

P(X=x)=\frac{e^{-\lambda t}(\lambda t)^x}{x!}

\lambda = rate.

Given that, Poisson distribution at a rate of 3 per hour.

\lambda = 3

t=2

x=0

The probability that no boats arrive is

P(X=0)=\frac{e^{-2\times 3}(2\times 3)^0}{0!}

                =2.48\times 10^{-3}

6 0
3 years ago
Two blocks are connected by a very light string passing over a massless and frictionless pulley. The 20.0 N block moves 75.0cm t
Angelina_Jolie [31]
The string is assumed to be massless so the tension is the sting above the 12.0 N block has the same magnitude to the horizontal tension pulling to the right of the 20.0 N block. Thus, 
1.22 a = 12.0 - T  (eqn 1)
and for the 20.0 N block: 
2.04 a = T - 20.0 x 0.325 (using µ(k) for the coefficient of friction) 
2.04 a = T - 6.5  (eqn 2) 

[eqn 1] + [eqn 2] → 3.26 a = 5.5 
a = 1.69 m/s² 


Subs a = 1.69 into [eqn 2] → 2.04 x 1.69 = T - 6.5 
T = 9.95 N 

Now want the resultant force acting on the 20.0 N block: 
Resultant force acting on the 20.0 N block = 9.95 - 20.0 x 0.325 = 3.45 N 
<span>Units have to be consistent ... so have to convert 75.0 cm to m: </span>

75.0 cm = 75.0 cm x [1 m / 100 cm] = 0.750 m 
<span>work done on the 20.0 N block = 3.45 x 0.750 = 2.59 J</span>
3 0
3 years ago
Given that the measure of ∠x is 60°, and the measure of ∠y is 110°, find the measure of ∠z.
Nitella [24]

Answer:

<h2>∠z = 10°</h2>

Step-by-step explanation:

A triangle is always 180 degrees.

If ∠x is 60°

and ∠y is 110°,

110 + 60 = 170

∠z = 10 degrees

6 0
3 years ago
3 squares = 27 feet<br> How many feet represent 1 square?
Wittaler [7]

Answer:9

Step-by-step explanation:

27 divided by 3

3 0
2 years ago
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